diff --git "a/data/dm_maths/full_data_1/11235_11255.jsonl" "b/data/dm_maths/full_data_1/11235_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11235_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let x(f) = 3*f**2 + 40*f - 13. Determine x(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 188.\nAnswer: -23\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -97. Let z be (-1)\/(h\/(-5) + (-11 - -7)). Solve z*q = 8*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1348\/5 + -51279\/190. Let d = 8398 - 638335\/76. Calculate the common denominator of d and o.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6210127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1205*-1191.\nAnswer: -1435155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - b - 548 = 0, -2*v + b + 280 = -b. Suppose -v = 50*w - 54*w. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*1)\/sqrt(12))\/(-1*sqrt(10)*-3).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - -157. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8383840 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -40*(-32)\/(-40)*-2. Let -8 - 2*b + 1 - 1 + 65*b**2 - m*b**2 = 0. What is b?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0888085 micrograms in grams?\nAnswer: 0.0000000888085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26768609?\nAnswer: 7, 1913, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.1 - -0.1. Let y = -481 - -620.4. Let s = y + -139. What is the third biggest value in s, 14, i, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**4 + d**3*n - 3*d**3 + 134*d**2*n wrt d?\nAnswer: -72*d + 6*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455 = -13*h + 8*h. Let i be (-2)\/4*(7 - 269). Let c = i + h. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1826 (base 12) in base 14?\nAnswer: -10bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 39a56697?\nAnswer: 39a566a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:20 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (5 - 2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3468 or -3?\nAnswer: -3468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkmppkpwppdspp. Give prob of picking 1 k, 1 s, and 1 p.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and 2.22.\nAnswer: -62.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -852 - -874. Suppose 3*z - 3*k - g = 98, 3*z - 4*k = 124. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -103*d**4 + d**3\/3 - 2613*d**2\/2 + 12923*d. Find the second derivative of y(z) wrt z.\nAnswer: -2472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let b be w(-13). Let x = 21 - b. Solve 2*y + x = -2*n, 2*n + 0 - 4 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and -2533.\nAnswer: 108919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-465)\/(-18)*(-12)\/45. Is a smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*w + o, 5 = w - 5*o + 1. Suppose 5*z + 45 = -f - 0*f, 5*z - f = -45. Let h = -3 - z. What is the least common multiple of h and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 11*p**2 - 13*p - 15. Determine t(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -1253 (b) 2\/19 (c) 0.05 (d) 3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 8:26 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/(-104) - (1 - (-70)\/(-56)). What is the closest to x in -0.5, -1, 1\/21, 1\/2?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 72 = -177 + 81 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 2*c - 1. Determine r(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7881 and 5916075.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163452.\nAnswer: 2, 3, 53, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5)\/m)\/((m**(3\/10)\/m)\/m*m))\/(m*m**(-2))**(-43) assuming m is positive.\nAnswer: m**(-437\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 3:12 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9900 divided by 6\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 9*w = 12. Let g = -1 - -1.1. Let b = -288 + 3746\/13. Sort g, w, b in ascending order.\nAnswer: g, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*o. Suppose o*q = 7*q - 5. Let s be (q\/3)\/(6\/18). Is s at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z + 30. Let r(q) = -4*q**2. Determine h(r(n)).\nAnswer: -20*n**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*j + 33 + 67 = 0, -4*t + 80 = -2*j. Suppose 7 = 3*c + 5*i, -5*c - t = -2*i + 4*i. Is (8 + c)*(-1)\/((-2)\/997) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 216\/272735 or -1?\nAnswer: 216\/272735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 3*v - 7. Let j(k) = -k**2 + k + 4. Let h(x) = -13*j(x) - 6*z(x). What is the units digit of h(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Let j be 35\/(-2 - (-4)\/(16\/12)). Let a be j\/20 - 3\/(-12). Solve -2*u - 6*c + 9 = -3*c, 7 = f*u - a*c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 105*k + 1. Let p be l(0). Sort 19, p, -1 in descending order.\nAnswer: 19, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56294 is divided by 633?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1222*x + 320049. Give n(-262).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3417 divided by -201\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11211110 + 0?\nAnswer: 11211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/y**(-5)*y))\/y**1)\/((y*y*(y*(y*y*y**21)\/y*y)\/y*y)\/y**(-1\/22)))**(-5\/8) assuming y is positive.\nAnswer: y**(3635\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i. Let d(n) = -3*n. Suppose 6 = -9*o + 69. Determine o*d(z) - 4*h(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 65*d**2 - 52*d - 52. Let s(l) = -l**2 + l + 1. What is g(n) + 52*s(n)?\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3941, -3845, -3743, -3635?\nAnswer: -3521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 146, 193, 260, 353, 478?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**5 - r**5 - 4*r**5)*(-4 + 2 + 1) + (3*r**2 + 3*r**2 - 4*r**2)*(r - 2*r**3 - r).\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 10:46 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.39272813 to two decimal places.\nAnswer: -5.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4357 + -4338. What is the remainder when 6017 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 8\/(-4) + 3. Suppose -4 - 8 = -4*a, -u*g = 4*a - 72. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2. Let w be q(1). Let t = 23 - 22. Does 4 divide 3\/(w\/t)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 + (-117)\/(-18). Let t be m\/(-4) + (-86)\/(-4). Let r = 22\/335 - 156\/335. Which is the closest to r? (a) t (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 4*a + 8, -5*x - 8 = -0*x - 4*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/3800 and 94\/1125.\nAnswer: 171000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/13 - 1188*j\/13 + 18270\/13.\nAnswer: -2*(j - 15)*(j + 609)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 114150 divided by -1522\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3 + 5781*t**2 - 3266787*t + 486984583 = 0.\nAnswer: 307, 5167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 37 (b) -64 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 50176*z + 55341936.\nAnswer: 4*(z + 1222)*(z + 11322)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 468759, 937689, 1406617, 1875543?\nAnswer: 2344467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**2 - 10704*l + 10704*l. Let y(b) = 71*b. Give y(c(q)).\nAnswer: -497*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 - 1) + 1)\/(-2). Let b = 0 + -8. Let g be (30\/4)\/((-6)\/b). Solve -d - d + 4*q - 6 = x, 5*d - 5*q = -g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 802589295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 392379*u**2 - 7437737 with respect to u.\nAnswer: 784758*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/15*(-500)\/(-75)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5 (b) -4 (c) 179 (d) 1\/3 (e) 0.4 (f) -1\/8 (g) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*c*s**2 + 11057*c*s + 1634*s**2 + 7*s wrt s?\nAnswer: 90*c + 3268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -399865058*q*v - 151475252*q wrt v.\nAnswer: -399865058*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - -1. Let l(m) = m**2 + m + 1. Let y be l(1). Let z be (7137\/1578)\/y + (-6)\/4. Which is greater: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i - 1. Let u(t) = -34*t**2. Calculate v(u(f)).\nAnswer: 306*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.001 < 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -0*w - 2*w - 11 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 18 = -2*n, 8 = 3*x + x. Let p = n - 35\/3. Which is the biggest value? (a) -8 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 17281186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r - 856 + 952 = 5*r. Solve 0 = -u + w - r, -4*u + 428*w - 23 = 431*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 179 = 693. List the prime factors of c.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -110. Let b(o) = o**3 - 9*o**2 + 53*o - 139. Calculate the remainder when b(8) is divided by j.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27686*u**2 - 6112 wrt u.\nAnswer: -55372*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lwllllllwll.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 79\/135581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -523*w - 26 + 26. Solve w = 27*v + 14*v - 246 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -5. Suppose -16 = 2*m - 4*u, 3*u + 22 = -5*m + 7*u. Suppose -5*q - 3*o - 29 = 0, 2*o - 7 + 1 = 3*q. Sort n, m, q in ascending order.\nAnswer: q, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from moooommfmoooof.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4*q - 37 - 23, -q - 5 = 0. Calculate the least common multiple of 18 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)\/(q\/q**6))\/((q\/(q**(-2\/5)\/q))\/q*q)**43 assuming q is positive.\nAnswer: q**(-1959\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c04 + 3?\nAnswer: c07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + (-1)\/2. Suppose 5*s - 11 + 1 = q. Suppose 0 = -k + 16 - s. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -536546 - -0.8?\nAnswer: -536545.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5475 - 792 = 326064*s - 325962*s - 5619 for s.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/29? (a) -0.3 (b) 1.3 (c) 0.011 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqt when three letters picked without replacement from {t: 3, q: 2, h: 2, u: 2, w: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37992372, -37992371, -37992370, -37992369, -37992368?\n\"Answer: a - 37992373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Find the second derivative of -2*j + s*j**4 + 2*j**4 + j**4 + j wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2089638418145 less than 57?\nAnswer: 2089638418202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 9. Let g(f) = f**3 + 4*f**2 + 2*f - 2. Let a be g(-3). What is the tens digit of x(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**2\/5 + 43*h\/5 + 62\/5.\nAnswer: (h + 2)*(6*h + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 243 + (-3)\/9*0. Let k = -242 + n. Let g(m) = m**3 + m**2 - m + 1. Let w(d) = 6*d**3 + 6*d**2 - 5*d + 4. Calculate k*w(y) - 5*g(y).\nAnswer: y**3 + y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776.48 centuries to decades.\nAnswer: 7764.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -1104, -2359, -4118, -6381, -9148?\nAnswer: -12419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 16. Give w(-15).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((100100\/(-352))\/65)\/(-15*5\/(-180)).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-11))\/(-2*1\/4)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4836, 4840, 4844, 4848, 4852?\n\"Answer: 4*s + 4832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1255.8 + -1133. Round m to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 - 13*t**2 + 41*t + 35. Let i be z(-10). What is the highest common divisor of i and 520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a - 21. Give c(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*m**2 - 25*m**2 + 8200*m + 53*m**2 + 4856*m)*(1 - 3 - 2).\nAnswer: 8*m**2 - 52224*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/220556 and -19\/78770.\nAnswer: 1102780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -311508409 divided by 4?\nAnswer: -311508409\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 340\/4 + 0. Let z = s - 51. Let y = z - 31. What is the least common multiple of 2 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axxrtxtkwtw. What is prob of picking 2 w?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34927?\nAnswer: 53, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(112)*-2)**2 - sqrt(112)).\nAnswer: -24*sqrt(7) + 2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksdmdmsmstmo. What is prob of picking 1 s, 1 k, and 1 m?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 5128 = 5216 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 + 0.171.\nAnswer: 1.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17204?\nAnswer: 2, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14990140 to the nearest integer?\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 87154 - 11803 = 0. What are the prime factors of x?\nAnswer: 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/28*(-204)\/(-34)*-12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 1\/3, 5, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2903*d + 7846 - 81126 - 17401 = 129947 for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 10)*2\/(-3). Suppose 2*m + 5*j - h*j = 34, 0 = 4*j + 8. What is the remainder when m is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**3 - 208*k**2 + 122*k + 27. Let f be n(41). Let d(h) be the second derivative of h**4\/12 + 7*h**3\/3 + h. What is d(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 202*t**5 + 4*t**3 + 21*t**2 - 4*t - 1. Let l(y) = 2*y**5 - y**3 + y. Let b(v) = -4*l(v) - n(v). What is the third derivative of b(u) wrt u?\nAnswer: -12600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 5*g**2 + 3*g + 4. Let m be (4 - 3 - 5) + -3. Let d = m - -4. Let j = d - 1. Calculate h(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5617.256 rounded to the nearest 10?\nAnswer: -5620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42 and -63355?\nAnswer: 63313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5320 = -5*q, -10*q = -15*q + w + 5344. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 1:07 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 + 5*i + 4. Let k be j(3). What is the tens digit of k\/(((-44)\/24)\/(-11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95591*x + 57375*x - 129425*x - 2965*x - 89857*x.\nAnswer: -260463*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 3 - (14 + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/17 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 <= 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = 3*u - 6*u + p, -u + 2*p = -108. Let k = 245 - u. Calculate the greatest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yye when three letters picked without replacement from yyyyyeeyeeyeyyyyey.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - k + 3. Suppose 2*o - z + 5 = 0, 3*o - 2*z - 3*z = -25. Let l be n(o). What is the third biggest value in l, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*i - 28*i**2 + 43*i + 4*i.\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + l + 1. Let p be g(2). Let y be p\/(-4) + (-540)\/(-16). Suppose -5*x + y + 22 = 2*q, x + 2 = 4*q. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-5)\/(-750)*(234\/90)\/(-13)\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*(-1*sqrt(20)\/(sqrt(1210) + sqrt(1210)*-1 + sqrt(1210)) + 5).\nAnswer: -6*sqrt(2)\/11 + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = -p + 36. Let d be p*(0 + -53500*20\/4). Round d to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -7, 0.07 in ascending order.\nAnswer: -7, -5, 0.07, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 301814003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 11*l - 2. Let h = 5 + -3. Suppose h*k = -3*r - 31, 0 = -k - r - 4 - 10. Let x be u(k). Is x at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8409\/413 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4443 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -16) + -12 - (11 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -519 * -80.\nAnswer: 41520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + -1 - (1 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 17055.\nAnswer: 34110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -141*j**2. Let y(s) = 6*s**2 + 20*s - 4. Let g(o) = -17*o**2 - 55*o + 11. Let u(v) = 4*g(v) + 11*y(v). Give i(u(h)).\nAnswer: -564*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3489015 - 261.\nAnswer: -3489276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {x: 3, i: 6, m: 5, a: 3, u: 1}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - 4*s**3 + 2*s**3 + 2*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*i)*(0 + 3 - 2) + 7*i - 8*i - 22*i - 59*i.\nAnswer: -80*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v + 20. Let l(g) = -10*g - 19. Let t(i) = 4*l(i) + 3*s(i). Let x be t(-13). Find the common denominator of -149\/6 and 18\/x - 1039\/(-272).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000831 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(13) + sqrt(52)\/(sqrt(4) - sqrt(36)))**2.\nAnswer: -5*sqrt(13) + 113\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4\/2 - 1631883*t**3\/2 = 0 for t.\nAnswer: -543961, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210 - -208. Let p(s) be the first derivative of 0*s + s**3 + 1 + 1\/2*s**2. Give p(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -204, -2, 279, 2, -5 in ascending order.\nAnswer: -204, -5, -2, 2, 3, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 552494, 1104989, 1657484, 2209979, 2762474?\n\"Answer: 552495*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 = -2*j + 214 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 3. Let x = t - -3. Calculate the common denominator of 1 - x*130\/(-4) and 85\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 7*f - 6. What is the units digit of l(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63\/3 + (59 - 8172\/102)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -587?\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 3 (c) -19\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*153893\nAnswer: -307786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**3\/12 + 23*c**2\/8 + 6*c + 20. Factor h(k).\nAnswer: -(k - 24)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 4*d + 12 = 0, -3*t = 3*d - 9. Let i = t + -28. Let c be (i\/(-45))\/((-8)\/20). Sort c, 2\/7, 0.3.\nAnswer: c, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113561 divided by 7\nAnswer: -16223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8098 - 1?\nAnswer: 8097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n*(n\/n**7)\/n)\/n)))\/(n*n\/((n\/n**(-4\/5))\/n)))\/(n\/n**(-4\/7)*n*n**(1\/7))*((n\/n**(3\/5))\/n**5)\/(n**0\/n*n*n**6*n) assuming n is positive.\nAnswer: n**(-788\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(4*sqrt(104) + sqrt(104) + sqrt(104)) - sqrt(104))\/sqrt(2))**2 - ((sqrt(3328) - (-3 + sqrt(3328)))*5)**2.\nAnswer: 43507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 3)*(-8)\/(-52). Sort y, 0, -0.23 in descending order.\nAnswer: 0, y, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 3021*y - 251262.\nAnswer: (y - 81)*(y + 3102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 717231022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6285271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -811 - -740. Let z = 841 - v. Calculate the greatest common factor of z and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -418a - -8aa?\nAnswer: -3390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11901059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/3)\/(-1))\/(23\/(-92))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3250 + -3157. What is the remainder when 255 is divided by m?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5)*-2*6\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1995, 6 in decreasing order.\nAnswer: 1995, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q*q**(2\/5))*q)\/q)**(-28)\/(q*(q**1*q)\/q*q)**(-1\/3) assuming q is positive.\nAnswer: q**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 353914413 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 293? (a) 0.5 (b) -0.8 (c) -4 (d) -127 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 140358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*y - y**3 + 10*y - 25*y to z*y**2 + i*y**3 + d*y + l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26070 + 52141\/2. Let m(r) be the second derivative of -31\/12*r**4 - 48*r - p*r**2 + 0*r**3 + 0. Find the first derivative of m(j) wrt j.\nAnswer: -62*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 93, 188, 283, 378?\n\"Answer: 95*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8390, -8388, -8384, -8378, -8370, -8360, -8348?\nAnswer: -8334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11815 + -4277. List the prime factors of b.\nAnswer: 2, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -455 - 459 + 914 + 3*s**2. Let g(c) = -8*c**2 + 17. Give a(g(h)).\nAnswer: 192*h**4 - 816*h**2 + 867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 676326 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 6. Let a be z(-16). List the prime factors of 12\/a*1170\/27.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*h - h. Let j(p) = p**3 + 7*p**2 + 2*p + 10. Let f be j(-7). Suppose 5*t - 1 + 22 = -3*u, 7 = -u - 4*t. Sort u, f, h.\nAnswer: u, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13668?\nAnswer: 2, 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239198 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*h - 10. What is the lowest common multiple of h and 14\/2*(-44)\/(-14)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40788 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 747 and 1079?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.6835 and -1?\nAnswer: 4.6835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (12\/(-9))\/(30\/(-1485)) and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 6*a**2 - 6*a - 7. Let g be l(-5). Let p = 9 + -12. Let h = p - g. Sort 2, h, 5 in ascending order.\nAnswer: h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*d + 138 + 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 101 - 161 = 0. Solve 31*q - 26*q + i = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2106 - -10?\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 17. Let k = m + -5. Let v = 1 + k. Which is the closest to -1? (a) -4 (b) v (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, c: 11}. Give prob of sequence ccrc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0 = 5. Let n(d) be the first derivative of 7*d**6\/360 - 2*d**3\/3 - 2. Let w(v) be the third derivative of n(v). Determine w(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*q - 35 = 0, -3*q = -j - 3*j. Find the third derivative of -j*c**3 + 6*c**3 + 3*c**2 - c**2 wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 16) to base 7\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575652092 to the power of 1\/2, to the nearest integer?\nAnswer: 39694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/(-10) + 1\/(-2). Suppose -x*f - 3*v = -21, -6 + 64 = 5*f + 2*v. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 5. Let q be k(7). Let x = -17 + q. Let r(a) = -a**3 - 8*a**2 - 2*a - 5. List the prime factors of r(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**2\/2 + 250212*g + 10434340824 = 0.\nAnswer: -83404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, y: 6, v: 4}. What is prob of picking 3 y and 1 d?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1207 microseconds in nanoseconds?\nAnswer: 14120.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506454916?\nAnswer: 2, 1493, 252253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-10)\/5)*-3. Suppose j = -f*j - 2*l, -9 = 5*j - 2*l. Which is the closest to j? (a) -5\/2 (b) 56\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-14)*((-45)\/6)\/(2030\/(-1421))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 1 + 1 + 110 + -112.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 195.1 + -195. What is the nearest to l in -0.05, -0.6, -0.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, -3, 17, 23, 10 in decreasing order.\nAnswer: 23, 17, 10, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 - 905. Let k = 800 + j. Solve 0 = 4*w - 4*m - 4, k*m - 4 = -12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409059 != 4499662\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, -0.292 in ascending order.\nAnswer: -0.292, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 - t + 1. Let f be o(-3). Let d be 6\/(-21) + (-46)\/f. Suppose -29 = -a - 5*w, 0 = -d*a - 0*a + w + 7. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6153 = -21*f - 1449. Let c = 620 + f. List the prime factors of c.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 35*i - 94. Let y be d(-3). Find o such that 18\/5*o**2 + y*o**3 + 4\/5 + 2\/5*o**4 + 14\/5*o = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 15*h - 33. Let l be k(12). Suppose 0 = -0*t - 5*t - 10. Let o be 2\/t - (-4)\/2. Solve -5*y - 4*g + o = 0, l*g + 3 + 1 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -380*x**3 + x**2 - 25*x - 5. Let r(o) = 380*o**3 + 30*o + 6. What is 6*j(m) + 5*r(m)?\nAnswer: -380*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4809.99665 + -4810. What is y rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 167 = 3*t, -t + 0*n + 5*n - 47 = 0. Is -58 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + -1)*-2.\nAnswer: -20*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-6) - (-1)\/2. Let y(f) = -9*f**3 - f**2 - f - 1. Let q be y(v). Let z = 14 + q. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.822 - -0.76. Let a = n - -62.062. Let q = 61.9692 - a. Round q to three decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 163, -0.2, 0.3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5*(sqrt(756) + sqrt(21)))\/(sqrt(27)*3)*2 + 2)**2.\nAnswer: 560*sqrt(7)\/9 + 137524\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1566 = 3*y, m + 0*y = -y + 518. Let c be (-2 + -1)*1*m\/(-6). Round c to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 4)*(0 + 0 + n) - n - 3*n + 3*n)*(61 + 77*n**3 - 61).\nAnswer: -231*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961\/278 greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -306*c + 303*c. Suppose 5*j - 4*x - 193 = 0, x = -0*x - 2. Calculate the smallest common multiple of j and c.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1785)\/63 - -17)\/(4\/198)*-17 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (231\/66 - 18\/(-12))\/((-2154)\/(-4) + 4)?\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 4 + 0 + -2. Let k be 0 + c\/(-9)*0. Find the second derivative of 4*g - 2*g + k*g**3 + 2*g**3 wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0. Let n = -116.2 + 106. Let x = n + 10. What is the nearest to 0 in m, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 + -62. What is the remainder when 78\/8*(-1)\/i*-24 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3729059 - -14390.17.\nAnswer: -3714668.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 2*k + 2. Let a be (-7 - -6)\/((-29)\/14 + 2). Let l(z) = 4*z**2 - 7*z + 7. What is a*b(n) - 4*l(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 1\/6, -5, 19, -0.14?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 150*k**3*z + 154224*k**3 + k*z**3 + 6*z**2 wrt z.\nAnswer: 150*k**3 + 3*k*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/98*2\/1)\/((-2)\/26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34440?\nAnswer: 2, 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 109*j**2 - 13*j - 19. Is u(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3))\/s**(-2\/79) assuming s is positive.\nAnswer: s**(318\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 41*x**2 - 100*x + 649. Give g(43).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*h**3 - 7233*h**2 - 442146.\nAnswer: 24*h**2 - 14466*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135549633 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204.836453 - 342.83648. Let f = -0.4021 + -137.5979. Let d = f - n. Round d to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 28*f - 10. What is s(3)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 (base 16) in base 4?\nAnswer: -2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 11:52 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -2*o + 17, -6 = o - 4*o - 2*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6 = 4*l - 2, -3*l = 5*u - 14. Find the first derivative of -4 - 1 - 9*v + l wrt v.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003082839 to 7 decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 9:49 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nntn when four letters picked without replacement from {i: 3, n: 6, t: 2, o: 7, x: 1}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60892309 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27364126 is divided by 5472809.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2\/5 - 3\/(-1))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one half of a decade?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*b**3*q**2*x**3 - 2*b**3*x**3 + 30*b**3*x - 2*b**2*q*x**2 - 1271*q**2 - 139*q*x wrt q?\nAnswer: 104*b**3*x**3 - 2542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -118, -314, -500, -670, -818?\n\"Answer: v**3 - v**2 - 200*v + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 4:48 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*z + 8*z + 146*z - 764 = 2020 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from sssspsppsspsssps.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 230626174 to the power of 1\/3, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2\/12 - 19\/6. Which is the nearest to 1? (a) l (b) -5 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 0. Let n(m) be the second derivative of -3\/50*m**5 + 1\/10*m**4 - 1\/15*m**3 + 1\/75*m**t + 0*m**2 + 0 - m. Factor n(i).\nAnswer: 2*i*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3\/t**(3\/4))\/((t\/t**(21\/4)*t*t)\/(t*t**24)) assuming t is positive.\nAnswer: t**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0.0285775, 4, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173820511*o**3 + 1099149*o**2 - 46 wrt o?\nAnswer: -1042923066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, l: 2, x: 1, r: 1, h: 1}. Give prob of picking 1 h, 1 a, and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-42)\/77)\/(4\/106). Let x = n - -139\/11. Find the common denominator of (158\/(-6))\/(68\/51) and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197888 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2615473?\nAnswer: 7, 53377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -478074 (base 9) to base 10\nAnswer: -288022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/28*(-28)\/24)\/(8*(-10)\/8160)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3\/7, -4, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -5, 1, 355 in ascending order.\nAnswer: -5, -3, 1, 5, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.289 - 45.711. Which is bigger: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4461\/10202?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 19303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 246914*c**3 - 1434*c**2 + 21.\nAnswer: 1481484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, h: 16}. What is prob of sequence hh?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -347 - -386. Calculate the greatest common factor of t and 702.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 166137124 and 544?\nAnswer: 1329096992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/12607 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)*j*j**11)\/((j*(j**(-5)\/j*j)\/j)\/j)**48 assuming j is positive.\nAnswer: j**(901\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/7 - (0 - -2). Suppose z*h - 46 = -16. Let s be (-2)\/h*5\/4. Which is smaller: s or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74991531.\nAnswer: 3, 449, 55673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 20 = -358. Suppose -81 - h = -6*u. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3002844 - -231.\nAnswer: 235.3002844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 4*y + 7. Let p be l(5). Differentiate 0 - 9 - 13*d**2 + 12*d**p - 17*d**2 with respect to d.\nAnswer: -36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 114*b**2 + 543*b - 11212. Determine o(110).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7227 is divided by 656?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h - 9. Suppose v = -2*v - 33. Let r(o) = 4*o + 5. Let q(t) = v*r(t) - 6*y(t). Calculate q(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.4, 0.4, 26642, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(3\/(-4))\/(27\/(-24)). Is 25 a factor of 5 - 140\/(0 + y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 13.999991. Round c to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 3*(-2)\/6. Suppose 6*a + 3*l = 2*a + 46, y*a = 3*l + 24. Solve 5*w = a - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16048 times -3?\nAnswer: 0.48144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pskpsskklkkkkslkssk. What is prob of picking 1 p, 1 l, and 2 s?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:10 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 25*y + 44. Let d be h(-20). Calculate the greatest common divisor of 60 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11331, -22607, -33773, -44775, -55559, -66071?\nAnswer: -76257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 161 + 159 = q, v + 10 = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*v - 30 + 190, 0 = 4*v - 5*w - 217. What is the remainder when v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.2, -1.1, -5, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65.1662ml?\nAnswer: 0.0651662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 109 and 220061.\nAnswer: 23986649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 + 38508*f**2 - 80 - 38499*f**2.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -10)*(-4)\/8. Let g be (15\/p + (2 - 0))*-2. Solve -q - g = a + 3, 2*a - 2*q = -4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 3. Let l(k) be the second derivative of 2*k**4\/3 + 88*k + 1. Give c(l(q)).\nAnswer: -16*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 83 = m + 3*c, -m + 121 - 12 = 4*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 12861 = -8238160 + 60501799. What is n rounded to the nearest 100000?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 777552546 to the nearest integer?\nAnswer: 27885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**4\/4 + 5*l**3\/3 - 7*l**2\/2 + l + 1. Let v be n(-6). Solve -6 = -3*f, 2*u + 3*f = v*u + 31 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 303.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*f**3 - 972*f**2?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21020 (base 5) to base 6\nAnswer: -10225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 - -77.172. Let y = 14.028 + s. Round y to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 8 = 38*x. Put -5, x, -14, -1 in ascending order.\nAnswer: -14, -5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 1 + (-8 - -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713466 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a microsecond in nanoseconds?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002379 divided by -5?\nAnswer: 2002379\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 2. Let f(c) = 5*c - 75. Give -f(z) + 4*w(z).\nAnswer: 3*z + 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from zimmihhhhhmhihhhimh?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + l. Let r(y) = 4*y**2 + 7*y + 3. Let h(c) = -r(c) + 5*t(c). Let p be h(3). Sort p, 1, -5.\nAnswer: -5, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21617193 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 10:13 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -911 - -918. What is the lowest common multiple of 63 and c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 - 21228394*c\/7 - 42456780\/7.\nAnswer: -2*(c + 2)*(c + 10614195)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6470640 divided by 5160\nAnswer: -1254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1533, 1503, 1439, 1341, 1209, 1043, 843?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 154 + -20. Is 0 + -1*h\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 25*b**2 - 21*b - 279. Calculate a(-20).\nAnswer: -1859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k. Suppose 3*g - 33 - 132 = k. What is the highest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -4*s + 4*z + 48, -s - 115865*z + 174 = s - 115879*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w - 3. Let t be r(3). Suppose t*p - 967 = 575. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.5, 2, -0.46, 0.45?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1 + sqrt(931))**2 - sqrt(171)\/(sqrt(18)\/sqrt(2))) + (-2*sqrt(228)*-1)\/(sqrt(432)*-3).\nAnswer: 701*sqrt(19)\/9 + 5592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 6767*w**2\/2 - 11451455*w\/2 + 11444689\/2.\nAnswer: -(w - 3383)**2*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -12 + 75. Solve 1 = 5*p + y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*w + 55665*h + 2504 = 55663*h, 0 = w - h - 34 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-7)\/(35\/(-5))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from wzhvvwzwvhwwqhhvvvvw.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6461 - 12905 - 14*v**3 + 6444.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*u + 128, -7*u - 167 = -2*u - 3*t. Let i = u - -91\/3. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*2\/(-27)*3\/8.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2968735915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -235, -250, -271, -298, -331, -370?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 2*m**2 + 40*m - 11. What is x(6)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 452*h**2 + 3336*h - 2880.\nAnswer: -4*(h - 6)*(h - 1)*(h + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 3*v = -10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12120 at most as big as -12131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 21. Let p be n(11). Let t be (p\/(-3))\/((-16)\/24). What is the second derivative of -2*v**2 + 72 - t*v - 72 wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 178435079?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 10 - 5, -5*l = 4*k - 37 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k + 2*k - 4*k)*(-k**2 + 2*k**2 - 2*k**2) + 5*k**3 + 0*k**3 - 2*k**3)*(1468 - 1468 + 118*k).\nAnswer: 590*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3595217570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31443 divided by -49.\nAnswer: -31443\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-264)\/144*(-5)\/(-110)*-52.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brvb when four letters picked without replacement from {v: 3, d: 1, b: 3, r: 1, c: 3, t: 2}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -22141050 (base 6) to base 9\nAnswer: -1225103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37128 and 1121120.\nAnswer: 57177120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 12 = -2*d, -1464 = -x - 4*d. What is the greatest common factor of x and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 155*z**2 - 1830*z - 173. Give j(13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -1)\/((-18)\/6). Sort v, -3, 2, -4 in descending order.\nAnswer: 2, v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1\/20))\/p**(-12))\/(p**(-8)*p)**9)**(-4\/7) assuming p is positive.\nAnswer: p**(-217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 130 = 4*u - 103, u - 37 = -4*y. Which is smaller: 53 or u?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p + 104. Let b be f(-26). List the prime factors of -5 + b*(-4 - -5) - -68.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-4)*r**(4\/5))\/((r*(r\/r**(-2\/5))\/r)\/(r**1\/r)))\/(((r*r**(4\/5))\/r)\/r**6*(r*r**(3\/2))\/(r**(2\/19)\/r)) assuming r is positive.\nAnswer: r**(-341\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t + 268 = 24*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1762 - -1744.78. Let v = -18 + 35. Let b = v + w. Round b to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148)\/(-296)*26\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32239, -128567, -289003, -513541, -802175, -1154899?\nAnswer: -1571707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14126393 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41554211?\nAnswer: 43, 966377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 29*p + 152. Let m be z(-7). Let v(n) = -n**2 + 0*n**2 + 0*n**2 + 3 + 4*n**2 + 4*n. What is v(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6555385 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 16. Let i be ((-1)\/5)\/((-19)\/95). Let p be (35\/(-21))\/(i\/6). What is a(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -563*i + 859 - 861 + 131*i to q + m*i and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/((-19)\/38). Let b be p*(-2)\/4*(-8)\/16. What is the nearest to -1\/2 in 2\/11, 3.4, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j + 9. Let s be a(6). Let i = 31 + s. Let r = 43 - i. Solve -2*m = 4*x + 26, -3*x - r = -m + 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294 + 287 + 12 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -4, -1, 85 in descending order.\nAnswer: 85, 6, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-6)*(-54)\/(-18). Let d = 3 + -2.8. Let i = 0.2 - d. Which is the closest to i? (a) -2 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18460018900.255019 - 18460028101. Let y = j + 9189.745. Let x = y + 11. What is x rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 2)*(2*u + 3*u - 3*u) - 13*u - u + 4*u)*(4 - 2 - 5).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -136824*i*l**2 - 350083*l**2 wrt i?\nAnswer: -136824*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-40)*(-122 - -70).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 90 = 6*j. Let q be 0\/(-3) + j - 2. What are the prime factors of q\/(-9) + 4\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2389, -2388, -2387, -2386, -2385, -2384?\nAnswer: -2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12805 - -15750. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 + 71*f + 16. What is the remainder when n(16) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47017569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 87918?\nAnswer: 87918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 6*p**4 + p + 8*p**4 + 2776*p**2 - 57*p**3 - 22 - 2777*p**2 in the form w*p**3 + j + l*p**2 + b*p + m*p**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/105 and 81\/68.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 384 and 1290.\nAnswer: 82560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2639952 and 25776?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -o + 86, -w - 150 = -o - o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -338, -625, -924, -1241, -1582?\n\"Answer: -b**3 - 280*b - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123003813*b**6 - 390*b**2 - 17*b + 4823?\nAnswer: 14760457560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*b + 23*b - 12*b in the form q + v*b and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2 + 4*u + 4. Suppose -3*b + 0*b = 9. What is the units digit of m(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159587 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-110)\/(-4) - 6\/12. Let v = -18 + d. Let i = 5 - v. Which is the nearest to 0? (a) i (b) 2\/15 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 8*s + 3. What is i(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0 - (3 - -13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -277811\/241992 + -16\/3361. Calculate the common denominator of -8 + 10 + 82\/(-36) and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 2:27 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 38. Let n = 2 - x. Let z(i) = i**3 - 5*i**2 + 3*i - 3. Calculate z(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 2*p**2 + 20*p + 59. Determine w(-4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66503 + -1130989\/17. Let s = q - -3427\/102. Find the common denominator of s and (-2)\/5 + 578\/20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*y - 18*y + 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 227*x**2 + 72*x**2 - 15*x**2 + (-4 + 0 + 6)*(3*x**2 - 5*x**2 + x**2) + 1 - 2*x**2 - 1.\nAnswer: 280*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + 81?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76584 is divided by 9514.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -302 (base 4) to base 6\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-8 - -3)) + -6 + -3 + 1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-4)\/(-6)) + 2560\/768. Let b = -3\/5 + 44\/15. What is the closest to -0.1 in b, -2, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -0.2 (c) -255 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z + 161 = 199. Suppose 2*f + 8342 = -10*m + 15*m, 2*f - 3348 = -z*m. What are the prime factors of m?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -84*f**2 - 355*f - 78. Determine q(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 441, 321, 121, -159?\n\"Answer: -40*m**2 + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c**(-1))**(3\/41)*((c*c*c**4\/c*c)\/c)\/c*c*c*c**5*(c\/c**(-1))**(-6) assuming c is positive.\nAnswer: c**(-44\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.4\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 23*a**2. Calculate the remainder when 91 is divided by k(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -663.8.\nAnswer: 3319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - 2*z**3 + 0*z**3)*(-25*z - 27*z + 19*z).\nAnswer: 33*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 342 and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-275)\/165*12\/(-45)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/324 and 35\/81.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3244848 is divided by 87?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9996 by 1428.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) -0.4 (c) -0.2 (d) -3 (e) -0.574 (f) 2 (g) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-63)\/(-54) + 64\/(-9). Let c = -30 - -31. Sort 1.09, c, s in ascending order.\nAnswer: s, c, 1.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2784121755.\nAnswer: 3, 5, 239, 269, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1911 in -3, -0.04, -6, -2\/3, 0.14, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 u when three letters picked without replacement from {b: 4, u: 3, x: 5}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = -7. Let z = 6 + -6.1. Let u = z - 0.9. Which is smaller: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.2018?\nAnswer: 0.1009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 2*c - 5*c - 2*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28897 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7987 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(2 + (sqrt(112) + 1)*2*-1 + (5 + 1 + sqrt(112) + sqrt(112) + -1)**2).\nAnswer: -1419 - 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {y: 2, i: 2, z: 3, p: 4, t: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 2*k**3 - 4*k - 10. Let l be m(-2). Suppose u + 5*r = 30, 2*u = -r + 3 + 12. What is the highest common factor of u and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 258 and 6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03339 - -0.033387809. What is p rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 4*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 2*x**2 + 3*x + 4. Let t be o(-3). Let h(m) = -t*m + 4*m + 0*m + m. Let s(c) = -7421 - c + 7421. Give h(s(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -153, -3, -32, -12 in ascending order.\nAnswer: -153, -32, -12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10213 - 11?\nAnswer: -10230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -33, -64, -107?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 87 = 7*z - 5*a, -3 = -a. Let j = 42 - z. Solve -1 = -7*t + j*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 2*g**2 + 7*g. Let p be a(-4). Let w = p + -1. Suppose -3*f = -w*v + 288, 2*f - 363 = -4*v - f. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 2 - 4) + 4. Let g(y) = -y**2 + y - 1. What is g(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1320913577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**2\/2 + 33591*q + 604395\/2 = 0.\nAnswer: -22385, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -10*q + 18 - 34 - 42. Let l be (-2)\/(-5) - (-2752)\/(-430). Let v be b(l). Solve -k - k - v = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 4*t + 3. Let w be g(-4). Suppose -8*h = -3*h - 3*r - 2466, 2*h + w*r = 999. Suppose 5*x = 45 + h. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/(-56))\/((-1)\/(-12)). Solve 5*l = o*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.34 - -0.94. Let n = 1.78 - o. What is the nearest to 1\/2 in n, 1, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 6 + 20\/(-4) + -3. Let n(d) be the second derivative of -d**4\/12 - 4*d**3\/3 - 5*d**2\/2 - 22*d - 1. Determine n(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(432)*-4)**2.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (-3 - (-3)\/1) - -1. Let t(k) = 5*k**2 + 6*k - 2. Is t(b) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j + 2*j)*(-1 - 20 + 1).\nAnswer: -80*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 2 + 7 - 5. Suppose -s = m*g + 3, -4*g + 7 - 3 = 4*s. Let j(x) = 5*x + 1. Let v(y) = -4*y - 1. Give g*v(l) - 3*j(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r - 2*r**3 - 16*r - 6*r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 2\/5, 2\/27?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 3*r - 313701 = -6*r. What is the thousands digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-3)*y)\/(y*(y*y*(y*y**2\/y*y)\/y*y)\/y)*y**6*y*y\/(y*y*y**(2\/13)))**(-39))**(-45) assuming y is positive.\nAnswer: y**(-2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -13. Let j be (r - -8)*54\/15. Calculate the highest common divisor of 54 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004645440 to the power of 1\/3, to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l**2 - 210*l - 6*l**2 + 209*l + 1. Let p(u) = -3*u**2 - 21*u - 122. Let n(j) = 2*d(j) + 2*p(j). Let n(s) = 0. What is s?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4*(-1 + (-278)\/(-282)). Is 1 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**3 + 3*c**2 - 7*c - 3. Let f(m) = m**3 + 2*m**2 - 3*m - 1. Let a(h) = -5*f(h) + 2*o(h). Give a(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(68)\/sqrt(4))**2 + (-2*sqrt(2057))**2.\nAnswer: 6*sqrt(17) + 8254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*f = 28, 0 = 3*f - 1 + 22. Is a at least as big as -38\/157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 125 = k + 2*k, 5*k - c + 219 = 0. Let q = 78 + k. Let j = q - 2. Calculate the greatest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 731994.8ml?\nAnswer: 731.9948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/11 + 4680*f**2\/11 - 2262234*f\/11 + 311473084\/11 = 0. What is f?\nAnswer: 299, 1742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*(-3 - 3 - -5). Let t = -18\/7 + 19\/7. What is the third biggest value in 2, 0, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vav when three letters picked without replacement from {v: 2, b: 1, a: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3920 and 167580.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 20 = -15*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -692*u**2 + 1928*u**2 + 157*u**2 + 1210*u**2.\nAnswer: 2603*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.608 months in years?\nAnswer: 5.384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/v**8*v\/((v\/(v\/v**(5\/2)))\/v)*v*v*v\/v**(-1)*v)\/((v**(1\/14)*v)\/v*v*(v*v**(-12)\/v*v)\/v*v)**(-3\/8) assuming v is positive.\nAnswer: v**(-249\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*sqrt(891)*-3 - sqrt(891)) + -2 + sqrt(891)*-4*-4)**2*-2.\nAnswer: -577440 + 3888*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2744*c + 535*c - 3277*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 9 = 3*n. Solve 0 = w + 3*w - n*y + 8, 2*y = 4*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334371267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 784657805 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3559*m. Let f(x) = -x**2 - 2*x + 18. Let r(g) = 6*g**2 + 11*g - 99. Let n(y) = 22*f(y) + 4*r(y). What is n(u(w))?\nAnswer: 25332962*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1)*f))\/f)**(8\/5)*(f**(-2))**33 assuming f is positive.\nAnswer: f**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Suppose 0 = 2*g + j, -5*r + g = -3*r + 8. Let y = 13 - r. Calculate the lowest common multiple of 18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3000450 (base 6) to base 13\nAnswer: -4ba32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sywsiyiuiyy. What is prob of picking 1 u and 2 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 25 = 10*r. Solve f + 5*g = -4*f + r, 5*f = 4*g - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 8. Let s be o(-11). Let b be (40\/6)\/((-2)\/s). Let q be 6\/b - (-72)\/(-20). Put q, 2, -1 in decreasing order.\nAnswer: 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6752, 6755, 6758?\nAnswer: 6761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1625*-76564.\nAnswer: -124416500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 + -3 + 15932\/(-294). Let y = -133\/3 - c. Let l = 2 - 3. Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605 (base 9) to base 8.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -46170.294 to the nearest ten.\nAnswer: -46170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9131*a - 283063. Give l(31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 2*a**3\/3 - 2*a**2 - 8. Let j be t(2). Solve j*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35485722 + 2.\nAnswer: 35485724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/3, 0.5, -1\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618159 is divided by 534.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -137 + 47 - (149 - 311)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 2:46 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.2 - -17.2. What is the closest to 0.1 in r, 4\/3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 2*z + 10. What is the tens digit of p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -24*r + 6*r + 8*r + 4*r. Let g(w) = -3*w**2 - 4*w + 4. Let u(y) = -4*y**2 - 5*y + 5. Let z(s) = -5*g(s) + 4*u(s). What is z(d(o))?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 21*s**4 - 5*s**3 - 70. Let m(p) = -22*p**4 + 4*p**3 + 69. Let j(i) = 5*m(i) + 4*w(i). Differentiate j(b) wrt b.\nAnswer: -104*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -12*x - 13. Let f(g) = -5*g - 6. Let j(t) = 7*f(t) - 3*m(t). Let h(o) = -o + 1. What is 5*h(p) + j(p)?\nAnswer: -4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4526288*y**5 - 47107*y**2 - 22?\nAnswer: -271577280*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 8:22 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/97, 1, 2?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 11 (b) 0.5 (c) 52 (d) -1 (e) -3\/4 (f) -2105 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 160 divided by -4580\nAnswer: -8\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 3:24 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 684862699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33779.913 less than -0.046?\nAnswer: -33779.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -761 (base 14) to base 12\nAnswer: -a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5 + 11 = 2*d, 4 = -4*o - 3*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1184550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**10\/90720 + h**8\/6720 + h**7\/3780 - 31*h**4\/12 + 14*h. Let n(x) be the third derivative of t(x). Solve n(i) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, 0.3, 3.7?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84847*l - l**2 - 84847*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153.9 - 23.6. What is c rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 108*o - 610. Let x(h) = -37*h + 203. Let y(c) = -3*p(c) - 10*x(c). Let u be y(5). Calculate the highest common factor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.892288 to 2 decimal places.\nAnswer: 3.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*g**3 + 3479469*g**2 - 7456602*g + 1846416 = 0 for g.\nAnswer: -23672, 2\/7, 13\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 291*h**2 + 25*h - 92. What is the tens digit of o(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*w**6 - 175*w**4 + w**3 - 63651*w**2 wrt w?\nAnswer: 360*w**3 - 4200*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.522 + -12.52186734. Round x to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36764028 and 117?\nAnswer: 477932364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/18? (a) -20 (b) 1\/302 (c) -17\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16612827 is divided by 234.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 20*m**2 - 18*m - 16. Let k be d(19). Let j = 31 + 73. Suppose -i + j = k*i. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023 (base 4) to base 13.\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -1\/7 (c) -20 (d) 5\/2 (e) 0.8 (f) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23303567829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3638 - 3638 + 1068*s)*(-2 + 3 - 3)*(-2 + 4 - 4) + (0*s - 3*s + s)*(-3 - 1 + 2) in the form l + j*s and give j.\nAnswer: 4276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 5) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h*h**(2\/65)*h)\/h))**(-43) assuming h is positive.\nAnswer: h**(-2709\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - (-1 - 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - h - 3. Calculate u(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 686, 0.5, 0.07, 0.2, -2.\nAnswer: -2, 0.07, 0.2, 0.5, 686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2131003 + -220330?\nAnswer: -3011333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -119076.999.\nAnswer: -595384.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Suppose -g - 281 = -284. Solve k = -g*v - 0*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15566800 and 70400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1604454 (base 8) to base 6.\nAnswer: -13514420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -21*t + 15. Let o(w) = 10*w - 7. Let r(u) = 13*o(u) + 6*v(u). Is r(5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Let p(m) = 1531*m**2 - 1. Calculate p(i(a)).\nAnswer: 6124*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.59 - 44.51. Round g to the nearest integer.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/145)\/((-129)\/(-105) - 1)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 0, 92, -4, 5, -6, -5.\nAnswer: -137, -6, -5, -4, 0, 5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k + 20. Let h be r(4). Suppose h*w + 36 = 10*w. Solve 8 = -4*f, -f + 12 = -5*g - w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 872, 3499, 7862, 13949, 21748, 31247, 42434, 55297?\n\"Answer: -2*x**3 + 880*x**2 + x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1135346576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33104 - 3?\nAnswer: -33111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = 5*x - 0*q - 3*q, -3*q - 15 = 0. Let t be ((-1)\/2)\/(3\/258). Let d = t + x. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 3*y + 2. Let m = 11 - 6. Suppose q - m*d = -11, -9*q = -4*q + 5*d - 5. Let r(z) = z. Give q*u(s) + 5*r(s).\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -3. Suppose 0 = p*d + 1 - 11. Solve 3*g = -d*i + 4*g + 8, -i + 2*g = -10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24875 - 2?\nAnswer: -24877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9504\/168 - 6\/(-14). Let u be 279\/q - (-14)\/133. Let j(w) = 2*w**3 - 5*w**2 - 6*w - 6. Is j(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 3, -2, 16\/7, -13\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*((sqrt(85) - (sqrt(85) - -4*(sqrt(85) + sqrt(85) + sqrt(85)*-2 + sqrt(85)))) + sqrt(85) + sqrt(85))\/sqrt(5))**2.\nAnswer: -3060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*c + 11 + 10 - 9 + 20 wrt c.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -44402*m**3\/21 - 23085166*m**2\/21 - 3034896080*m\/21 - 2966040200\/7 = 0. Calculate m.\nAnswer: -38510\/149, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2360325 take away -3?\nAnswer: 2360328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 6*n**2 - 4*n - 8. Is 2 a factor of g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + 49 + -65 - 57?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1063650 (base 7) in base 6?\nAnswer: -2505353","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-210) + 1391\/546.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, t: 6, e: 1, c: 4}. What is prob of sequence nct?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 260591, 260589, 260587?\n\"Answer: -2*i + 260593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756*x = 660*x + 644160. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.4 (b) -1\/215 (c) 0.03527 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -807, -809, -811, -813, -815?\n\"Answer: -2*r - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 30700*k + 47124500.\nAnswer: 5*(k + 3070)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2581*c = -74344 - 80516 for c.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1533*m**2 - 18897 with respect to m.\nAnswer: -3066*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/7 - 667*a**3\/7 + 5272*a**2\/7 = 0. What is a?\nAnswer: 0, 8, 659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 69 = 4*l, -90*g + 294*g - 90*g - 66 = l + 103*g for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 456 + -1485. Let f be (0 - -2) + -3 - p. What is the remainder when f\/28 - (-2)\/7 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2817814*b**6 + 2875586*b**2?\nAnswer: 338137680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a = 5, 35 = 4*n - a. Suppose 4*d + n = 2*d, 2*p - d - 13 = 0. Suppose -3*r - 26 = -g - 83, -24 = -2*r - p*g. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**6 - 20*a**4 - 13*a**3 - 1927*a**2?\nAnswer: 600*a**3 - 480*a - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 2 + -4 + 5 + 19 + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 - 33*v**2 + 16*v - 108. Is 113 a factor of h(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -112, -300, -558, -886, -1284?\n\"Answer: -35*z**2 - 83*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkklpklpl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -238*l**5 + 2*l**2 - 4*l**2 + 240*l**5 + 37*l**2 + 66*l**3 wrt l.\nAnswer: 120*l**2 + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 19*a - 188. Suppose -a*k = -7*k + 225. Sort 3, -4, k.\nAnswer: k, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771a8 (base 15) in base 11?\nAnswer: 7078a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34595538 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -2081422517\/936 + 17792597\/8. Let h = 4228\/13 - j. Find the common denominator of h and -29\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 49\/21 - (-4)\/6. Suppose p = 4*l - 22, -5*l - p = -0*l - 23. Solve 3*k = 4*t + m, l + 0 = 3*t + 5*k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12315 + -12177. Solve -130*r - 56 = -g*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/5 - 2783*i**2\/5 - 66216*i\/5 = 0.\nAnswer: -2759, -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3533, 5952, 8371?\nAnswer: 10790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-3)\/1) + -12. Let u = -8 - j. Suppose u*f - 5*v - 2 = 80, 4*v - 88 = -4*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 8*p**2 + p**2 - 60 - 74*p**3 + 5*p**2 + 67*p**3 - 2*p in the form i + z*p**2 + q*p**3 + r*p and give i.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*m - 78*m + 2080 = 0. Put m, -1, -2 in increasing order.\nAnswer: -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63*30\/(-270))\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 122528?\nAnswer: 122528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 2*i - 1984. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -62, -22, -31, -7\/4, 1\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2716366.\nAnswer: 2, 1358183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142670, -143340, -144010, -144680, -145350?\nAnswer: -146020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.756 - 0.756. Let a be 1*(0 + 2 + 1). What is the third smallest value in a, r, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/(-5) - (-4)\/(-10). Let b(p) = -p**2 - 6*p. Let z be b(-5). Let k(s) = -3 + g - z*s - 4*s. Let r(n) = 2*n. What is k(r(y))?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23\/5 + 289\/65. Let y = -0.2083 + -0.0917. Which is the smallest value? (a) y (b) s (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 1\/48 (c) 4\/7 (d) -2691 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 0*k**3 - k**3 + 4 - 3*k**2 - 2. Let b(i) be the second derivative of -i**4\/3 + i**2 - 4113*i. What is 3*b(y) - 4*u(y)?\nAnswer: 4*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y - 12*y - 8*y + 26*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 9) to base 7\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 13. Let y be m(-11). Suppose y*o - 7 - 7 = 0. Let i = -182 - -184. Calculate the remainder when o is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 10:08 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10160279 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -26*m + 149. Calculate j(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaiiiciiiciiciii. Give prob of picking 2 i.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18421616?\nAnswer: 2, 349, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l = -48. Let d be (1\/(-1))\/(4\/l). Suppose -17 = d*x - 4*x. Calculate the remainder when 31 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245715.\nAnswer: 3, 5, 16381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/3 + (-2 - (-38)\/2). Put -3, 0, y in descending order.\nAnswer: y, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1940.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/4 (b) 5 (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4 - 114027*r**3 + 228057*r**2 - 114029*r = 0. Calculate r.\nAnswer: -114029, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-2*l + 2*l - 2*l)*(1 - 1 - 1)*(0*l - 2*l + 4*l).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471472725?\nAnswer: 3, 5, 113, 55631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 12*z - 44. Give q(-11).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crkggkgweere. What is prob of sequence kk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 3:28 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (78\/(-2))\/(33\/(-22))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.3 (b) -0.1 (c) -146 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*y - 3*x - 15, -4*y = -3*x + 20. Let s be 111\/y - (-8)\/40. Calculate the remainder when 18 is divided by (10 - 9)\/((-2)\/s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 51*x + 8 = 55*x, 0 = 3*x + 3 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2496 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1080 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1610868 and 33\/755.\nAnswer: 8054340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804*f - 515*f + 15828 = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -566503 + 566502 - n + 2*n. Suppose q + 3 = -2*g, 2*g = -0*g - 4*q + 12. What is r(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19919 is divided by 219.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -2. Let h be y\/(-8) + (-55)\/20. What is the nearest to -2\/11 in 0.4, h, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15522, -15519, -15514, -15507?\n\"Answer: h**2 - 15523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1001)\/(-52))\/(-11))\/((-1)\/2)*15\/(-140)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3273777 - 0.3.\nAnswer: -3273777.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-12)*3*791. Let p be 10*(9\/(-5) + 2). Suppose -c + p*c = v. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89316*l = -89675*l - 22109 + 7031 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 41*k - 14. Let p be h(9). Does 23 divide 3\/(30\/p)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1241\/595 - 2\/(-10) - (-8 - -10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -l + 4*v, v = l + 27 - 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -46312000 divided by 5600?\nAnswer: -8270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 35 = 4*f + 5*q, -5*q - 15 = 5*f. Suppose 3*g - f = -8. Let s be 21\/((-9)\/(-3)) + g. Solve 8 = -5*c + 2*m, -3*m + 0 + 7 = -s*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41323\/6 - -6911. What is the common denominator of -29\/10 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -109*t + 2253 - 1163. What is the greatest common factor of 116 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/6395263 or -1?\nAnswer: -15\/6395263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7)\/(180\/315)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) -172.2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a**5\/5 - 477*a**4\/5 - 37578*a**3 - 691497*a**2 - 4858326*a\/5 - 1588248\/5 = 0. Calculate a.\nAnswer: -129, -18, -1, -1\/2, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*609\/2030*(-10)\/(-6)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 = -2*n. Let t = 8 - 8. Let p = 4 + t. Sort p, n, 0 in ascending order.\nAnswer: 0, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10104 and 47317874.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (7 - -1) - (-55 + -5 + 32).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 10. Let y be j(-6). Let r be (16\/y + 8)\/2. Suppose n - 5*v + 43 = r*n, 4*v + 61 = n. Calculate the remainder when n is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30065, -120205, -270423, -480713, -751069, -1081485, -1471955?\nAnswer: -1922473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -22. Suppose x = 3*l - 0*l - 306. Suppose -l = -n - 5*o + 2*o, -2*n + 204 = 4*o. What are the prime factors of n?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*u + 26, 0*u - 3*u - r + 12 = 0. Calculate the remainder when 25 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/7*s**3 + 1\/7*s**2 - 1\/7*s - 1\/7 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 2432?\nAnswer: 2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1638 and ((-1452)\/2520)\/(54\/(-45))?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10721152 (base 8) in base 6?\nAnswer: -122015430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145 - -69. Let l = 75.13 + n. What is l rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13 - (-10)\/(40\/236). Calculate the greatest common factor of a and 1224.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnm when three letters picked without replacement from mnnnjhjommmmnsmmn.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**2 - 145*z - 1716 = 0.\nAnswer: -132, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 18*s + 10. Calculate f(13).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 + 7*s**2 - 7*s**2.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2082*j**2. Let y(v) = 2*v. Calculate o(y(r)).\nAnswer: 8328*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8448, -16892, -25336, -33780, -42224, -50668?\nAnswer: -59112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/4, 1\/3, -0.28, -1\/3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 67, 38, -79, -314, -697, -1258?\nAnswer: -2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 396357 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:38 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1549?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, -26604, 0.3 in increasing order.\nAnswer: -26604, -0.4, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/338 and -51\/66598.\nAnswer: 11255062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**5 - d**4 + 5*d**3 + 12*d**2 + 21*d + 4 wrt d?\nAnswer: -120*d**2 - 24*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -85*-0.0351\nAnswer: 2.9835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 166*l + 25. Let z be (-3)\/9*(-20 + (7 - 2)). What is the tens digit of i(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqr when three letters picked without replacement from oooqqqorqro?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -21. What are the prime factors of 4*n*(-2)\/(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 6*o + 5. Let s(t) = -t - 1092 - 3*t**2 + 2*t + 1093. Let j(g) = -g**2 + g + 1. Let z(c) = 2*j(c) - s(c). Calculate -i(b) + 5*z(b).\nAnswer: 3*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 3*p - 1. Let l be m(-2). Let a be (13\/3)\/(-13)*18\/13. Is a greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 3. Let x be h(5). Let z be 2\/7 + 2\/x. Suppose -2*w - 8 = 2*w. Is w greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -93*c + 7470. Give s(80).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, s: 3, u: 3, v: 6}. What is prob of sequence vtv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*f**5 + 21*f**5 - 46*f**5 - 32*f**4 + 32*f**4 - f**5 + (-6*f**3 + 5*f**3 - f**3)*(4*f**2 - 2*f**2 + 0*f**2).\nAnswer: -15*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 9. Let c(s) = -10. Suppose 0 = -11*p + 8*p - 6. Let t(n) = p*c(n) + 3*r(n). Is t(5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3048 and 141.\nAnswer: 143256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(0*w - 5*w + 3*w) + 10 - 227*w + 9 + 228*w to d + k*w and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + 83*w - 431. Let r be x(5). Solve 33*j + r = -172 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/4)\/3*4*(-200)\/(-125).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 11:41 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992577 is divided by 6016?\nAnswer: 5953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 7276781?\nAnswer: 7276797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -22*o**3 + 6*o**2 - 6*o. Let a be p(-4). Suppose 2270 = 18*q - a. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llk when three letters picked without replacement from {l: 4, j: 2, m: 1, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1417242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07167 + -0.82833. Which is the smallest value? (a) 2\/5 (b) o (c) -4 (d) -21\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000121 + 112?\nAnswer: -2000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, n: 1, s: 3, x: 6}. Give prob of sequence ns.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9426285 is divided by 2356569.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25212.654 + 25188. Round h to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(((-414)\/(-24))\/(-23))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 5*v**2 + v + 4. Let f = 3 - 0. Suppose 2*j + 5*w + 23 - 8 = 0, f*w + 3 = 0. Calculate u(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24956*h*l*s**3 - 186*h*l*s**2 + h*l*s - 16*h*l - 2*h*s**3 - 2*l wrt s?\nAnswer: 149736*h*l - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-2\/61)\/l*l*l**18*l*l**(-36)\/l*l*l*l*l\/(l**(-30)*l)*l assuming l is positive.\nAnswer: l**(1035\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.08+-69111662\nAnswer: -69111662.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66 + 6961307577.\nAnswer: 6961307511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Let d be (15 - 0\/o) + -4. Is 5 a factor of 1300\/110 + 2\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -465 and 0.3.\nAnswer: -139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.5 and 79126?\nAnswer: 435193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 22 = 2*c - 137, 3*c - 3*x = 165. Let n = c + -37. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 1\/778, -0.3, 1?\nAnswer: 1\/778","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1245122455?\nAnswer: 5, 249024491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d - 3*d**2 + 2 - 1 - d**3 + 11*d**2. Let v be p(7). Calculate the greatest common factor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 35 = 5*t, 0 = -4*t + r + 33 - 8. Let k be -740*104\/1820 + 42. Which is the smallest value? (a) t (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 20*a**2 - 1. Let i(h) be the second derivative of -1\/6*h**3 + 0*h**2 - 3*h + 0. What is w(i(g))?\nAnswer: 20*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2 (c) 5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-24)*(-6)\/92)\/(3420\/(-1140))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 - 2.91. Which is the third biggest value? (a) -0.5 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/14 - (-62)\/4. Suppose 3*m + 5*b - 4 = 4*m, -4*m - x = 4*b. Sort m, -5, -3 in ascending order.\nAnswer: -5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 24*n - 20. Let v be i(-18). Do v and 87 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/302112 and 31\/432?\nAnswer: 906336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0*s**4 - 7*s + 1\/210*s**7 + 0 + 1\/100*s**5 + 1\/75*s**6 + 0*s**2 + 0*s**3. Factor u(o).\nAnswer: o**3*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -638847757803\/612040 - -91854111\/88. Let m = i - 4\/1391. Find the common denominator of m and 131\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -70*d + 76*d. Let a = -36 + d. What is the remainder when 17 + (-3)\/(-6)*2 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 + 3*p**2 + 1519*p\/4 - 765\/2.\nAnswer: -(p - 45)*(p - 1)*(p + 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-15 - (14 - 41)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/3)\/t**(2\/7))**30\/(((t*t**(-1\/2)*t)\/t*((t*t**(-4))\/t*t)\/t*t)\/(t\/((t*t*t**1)\/t)*t**(-6)\/t)) assuming t is positive.\nAnswer: t**(-757\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 8*l**2 - 2*l**2 - l**2. Let t(r) = 5*r**2. Determine f(t(d)).\nAnswer: 75*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*x**2 - 45*k**3*x - 10*k**2*x**2 - 46*k*x**2 - 308*k*x - 78*x**2 - 7*x + 1 wrt x.\nAnswer: -2*k**3 - 20*k**2 - 92*k - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/20)\/(21\/(-6))*14\/49. Which is the second biggest value? (a) -5\/3 (b) -0.3 (c) 0 (d) -0.1 (e) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -31919.\nAnswer: -31916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 230 = r + r, 0 = 5*r - 3*g + 510. Let s = r - -107. Let q be ((-3)\/2)\/(24\/(-32)). Solve b - q = s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6613 divided by -25\nAnswer: -6613\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7322\/15 + -488. Which is the fourth smallest value? (a) -0.4 (b) i (c) 0.4 (d) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 144.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4128173.4 and 0.3.\nAnswer: -1238452.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -28*z + 2. Let x be b(-1). What is the greatest common divisor of x and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.02, 1, -0.1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 522\/297 + 24\/(-22). Which is the nearest to -3? (a) -0.4 (b) -0.5 (c) w (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19615237?\nAnswer: 19615237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53.17 - -101.17. Let b = 102 - 170. Let n = r + b. Which is greater: n or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10 = 2*z, -2*y + 3*z - 2*z - 5 = 0. Let u(g) = -g - 1. Let b be u(-3). Solve 3*o = -y*o - 2*a - 5, -b*a + 20 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2715 and -419431.\nAnswer: -422146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -29699237.48 to the nearest one thousand.\nAnswer: -29699000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14807*i**6 - 8156*i**2 wrt i?\nAnswer: -1776840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 896.4848m to millimeters.\nAnswer: 896484.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4988)\/86 - (7 - ((2 - 3) + 8))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 15 = -k. Suppose k = 6*t - 465. Let f = -21 + t. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 2, j: 4, h: 1, g: 3, d: 3}. Give prob of picking 1 g and 1 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37640 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 4030 and 6110.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((600\/(-16))\/(-25))*7\/2*-3.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - j**2 - 20*j**4 + 15*j**4 + 6*j**4 + 12*j**3 as k + s*j + n*j**3 + a*j**4 + x*j**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086434709 times -0.2?\nAnswer: -0.0172869418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/2)\/(2\/4). Suppose -x*a + 4*a + t + 19 = 0, 56 = 4*a + t. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1867185 (base 11) to base 4.\nAnswer: 30002311202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63492009 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a + 15 = 5*c, c + 15 = 4*a. Suppose a*s + 32 = -13. Let y be 6\/(-9) + (-2184)\/s. Calculate the highest common divisor of y and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -3 + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238656355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29597104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17365499 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.1, -1\/137, -4?\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1021*b**2 + 1079*b**2 + 1682*b**2 + (3*b + 2*b - 3*b)*(2*b + 2*b - 3*b) - 2*b + 2*b + 2*b**2 + b**2 - 4*b**2 + 4*b**2.\nAnswer: 1745*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*m**2 + 38*m**2 - 1386 + 1386.\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 72, 92, 132, 198?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 448303, 896517, 1344731, 1792945, 2241159?\n\"Answer: 448214*t + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 5*n + n + 4*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 - 156.5. Let f = 41 - k. Which is greater: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3) + (-1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 178496\/5376 - 33 - 1\/4?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1886, -2264, -2890, -3764, -4886?\n\"Answer: -124*y**2 - 6*y - 1756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -5) + 6 + -8. Let b = c + 1. What is the smallest value in -1\/5, 0, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1421 is divided by 1410?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2388 and 512.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 5:15 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07 times 0.5?\nAnswer: 0.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16881 = -4*x - 13*x. Let d = 1016 + x. Calculate the greatest common factor of 989 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-81)*(-18)\/(-12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3720153 is divided by 1240043?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -24?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)\/r)**23\/((r\/(r*r*r*r**5\/r*r)*r)\/(r**(-1\/3)*r)))\/((r**(3\/4)*r*r**(-2))\/(r\/r**(-1\/2))**(-1\/9)) assuming r is positive.\nAnswer: r**(-157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*h - 2*h + 41*h + 45*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32430.8203978 + 1855924.9203558. Let k = s - 1823497. Let d = k - -2.9. Round d to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 53. What is the biggest value in c, 2\/13, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2729*z + 2730*z - 17 = 0, 486*z - 483*z = -29*m - 113 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + (-4)\/(-8)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.007 - 0.007. Which is the closest to l? (a) 4 (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*0.2.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16457169 to the nearest integer?\nAnswer: 4057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 572, 1131, 1688, 2243, 2796, 3347?\n\"Answer: -a**2 + 562*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 575815*f + 1. Let j(c) = -c. Determine h(j(g)).\nAnswer: -575815*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6666121 + -1?\nAnswer: 6666120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 35, 71, 121?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 116, 155, 182?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 12*o**2 - 92*o + 8. Let z be h(6). Let b = 341 - z. What is the smallest common multiple of 195 and b?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 654860 and 536?\nAnswer: 87751240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/(-20))\/(-2) + (-2)\/(-5). Which is the nearest to 1\/3? (a) -3\/2 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 102*i - 2. Let j(q) = 522*q - 9. Calculate -2*j(x) + 11*k(x).\nAnswer: 78*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - (1 + -6))\/((-20)\/(-2728070)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*i - 8*i - 75 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23652883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/18)\/(-6*1\/(-207))*-194. Which is smaller: s or 2227?\nAnswer: 2227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/2 + 22335*p**3\/2 - 55846*p**2 + 89358*p - 44680 = 0.\nAnswer: -22340, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 2*v**7\/15 + v**5\/3 + 30*v**2. Find the third derivative of t(c) wrt c.\nAnswer: 672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 5*i - 9. Let u be l(7). Let b = -18 - u. Suppose -5*g + 16 = -b. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/18*267\/(-89))\/(14\/21).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 12 = -4*a, 4*a = -4*k - 0*a - 36. Let w(h) = -2*h - 7. Let c be w(k). Solve 4*x - 3 - c = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9*i**2 + 3*i - 5. Let a = -6 + -9. Let g = a + 11. Is d(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2768*c**3 - 6637*c**2 + 6637*c**2.\nAnswer: 2768*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -427.106762 and -1.\nAnswer: -428.106762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.03 (b) 2 (c) 16\/9 (d) -0.13 (e) 11 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 122820?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**5 - 115*h**4\/2 - 620*h**3 + 9100*h**2 - 27040*h + 364. Factor s(z).\nAnswer: -5*(z - 4)*(z - 2)*(z + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1178*p + 12 - 3*p**3 + 5*p**3 - 8*p**2 - 1176*p = 0. What is p?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13175868.\nAnswer: 2, 3, 31, 35419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1195 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.6 + -3.6. Let l = -23.982 + z. What is l rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**7\/105 + 18*o**5 - 3535*o**4\/8 + 66*o**2 - 69*o. What is the second derivative of u(c) wrt c?\nAnswer: -24*c**2 + 2160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 2. Let f be c(7). Let x = f + 14. Suppose -17 = -2*v + x. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 7*h + 0*h + 11 = s, -5*s = -h - 75 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1602?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 0 + 2*l**4 + 3 + 9 + 5*l in the form i*l**3 + p*l + o + h*l**2 + w*l**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 4:22 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven fifths of a decade?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1590435069*q + 790907769?\nAnswer: -1590435069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2916)\/1296 + 42\/(-88)*-7\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 391 and 119.\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56, 388, 1282, 3020, 5884, 10156?\n\"Answer: 47*h**3 - h**2 + 6*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4551\/5 - -40307\/35. Suppose 4*q - 14*l + 10*l - 944 = 0, -3*q + 5*l = -698. Let j = q - i. Which is greater: 1\/2 or j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2435594402?\nAnswer: 2, 1217797201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 15*y - 2*y. Let q = -2 + 6. Suppose 2*w**4 + 5*w - 2 + 4*w - q*w**3 - y*w = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2918*u + 36651 = 7667*u - 33313 + 459382 for u.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-29*k - 25*k - 20*k)*(2*k + 2*k - 6*k).\nAnswer: -148*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4995860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + 2*x + 300*x**2 + 488*x**2 - 251*x**2 - 2*x.\nAnswer: 2*x**3 + 537*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6641 (b) -1 (c) -2 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -4*h - 3*b, 4*h - 5*b - 100 + 10 = 0. Suppose h = 2*m - 5*q, -q - 2 = 4*m - 85. Calculate the lowest common multiple of 134 and m.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -18. Which is greater: g or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + 7 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 126698 divided by 106\nAnswer: 63349\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116 and 58.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2633, 2583, 2531, 2477, 2421?\n\"Answer: -j**2 - 47*j + 2681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 - 3)*(-29612*r**2 + 74 - r**3 + 29611*r**2 + 5*r**3).\nAnswer: -32*r**3 + 8*r**2 - 592","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 - 25353?\nAnswer: -25253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-650)\/(-91))\/(2\/4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 184289*i + 1842895. Determine a(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 3\/11, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -12*f + 382 - 438 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/308 and 67\/154.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11930090?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-5))\/(7 - 180\/25). Let -d - 9\/2*v**2 + 10*v = 0. Calculate v.\nAnswer: 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 217 + 653. What are the prime factors of c?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-2 + 0\/3). Suppose -3*s - m - 36 = -204, 2*s - 99 = -5*m. Suppose -s = -14*w - a. Let b(z) = -z**3 + 3*z**2 + 4*z + 4. Determine b(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/((160\/12)\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.9 - -0.1. Let s = -71 - -70.6. Which is the smallest value? (a) -2 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4*u - 36 = 0, -31*u + 32*u + 57 = -5*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -33, -5\/2, 6\/11?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.032 + -58.032. Let m = 52 + g. Let t = -5.8 - m. Is t less than or equal to 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89634 is divided by 4231?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/48480397 and 8\/76183481.\nAnswer: 533284367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7470677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.41 + -0.61. Which is the third smallest value? (a) 2 (b) w (c) 1\/2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5102844 divided by -78?\nAnswer: -850474\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**10)**(3\/50)\/(t**(-13)*t**(-2\/13)))**(1\/4) assuming t is positive.\nAnswer: t**(447\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = u + 11, -6*u = -7*u - 25*i + 49 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2 - 3*u + 17. Let i(w) = 3*w**2 + 3*w - 18. Let c(z) = 2*f(z) + 3*i(z). Let v be c(-6). What are the prime factors of v + 2 + -2 + 162 + -9?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t + 5. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 4, o: 1}. Give prob of sequence ffo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -69324528, -69324535, -69324542, -69324549?\n\"Answer: -7*v - 69324521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**1*a))**(2\/11)\/(a\/(a*(a**(-2\/7)*a)\/a))**(3\/16)*a**1\/((a**0*a)\/a)*(a*a**1\/a)**9 assuming a is positive.\nAnswer: a**(6015\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 25 = 0, -10*x + 13*x - 24 = 3*u. Suppose -2*z + 11 = 5*l, -x*l + 25 = 4*z - 4. Solve 3*k - 7 + 0 = 4*o, -z = -4*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-1))\/((-3)\/9). Let p(k) = -5*k - 49. Suppose 0 = d - 4*m + 5 + 3, 4*m - 16 = 2*d. Let c be p(d). Do g and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 11\/3, -3\/7, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**6\/18 + 14*n**5\/5 - 587*n**4\/12 + 2702*n**3\/9 + 98*n**2 - 2744*n\/3 - 148. Determine s, given that m(s) = 0.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.63578 micrometers in kilometers?\nAnswer: 0.00000002863578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + -408. Let j = x + 431. Is 0.046 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.04461336 - 11.\nAnswer: -13.04461336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = 7. Suppose 5*s - 34988 = -4*f, j*s = 4*f - 5*f + 27997. What is s rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**5\/20 - 5*n**4\/12 + 14*n**3\/3 + 9591*n**2\/2 + 8685*n. Find the first derivative of a(r) wrt r.\nAnswer: -3*r**2 - 10*r + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t, 0 = -3*d - 5*t + 4*t + 118. Let u be (2\/(-12))\/(d\/(-78)). Which is the second biggest value? (a) 0.9 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.061 - 1.759. Let j = z + 1.8. Let h = -0.1 + 0.1. What is the nearest to h in 0.4, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(605)*-2 - sqrt(605)) + -3)*-4 + sqrt(605) + (sqrt(605)*-1 - sqrt(605)) + -4 + -4)*1)**2.\nAnswer: 968*sqrt(5) + 73221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50766 is divided by 2667?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*w = -38*w + 3847 + 522 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -2. What is the third derivative of -m**s - 2*m - 4*m**2 + 2*m + 0*m**5 wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8 = 6*b. Solve -6 = 4*l - 2*g - 0*g, -3*g + b = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 24, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214689 or -4079114\/19?\nAnswer: -4079114\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m = -3*v + 45*m + 2473, 0 = -3*v - 5*m + 2501. List the prime factors of v.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7480245.25 rounded to the nearest one thousand?\nAnswer: -7480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1625190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1821*n - 8. Let s be z(-1). Suppose 17*h - 10*h - s = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 17 = -w, 0 = 4*g + 3149*w - 3154*w + 27 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -0.7. Let y = -2.7 + o. Let n = 0.09 - 2.09. Which is the second smallest value? (a) -1 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-33)\/9)\/(-11))\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*m - f, -3*m - f + 22 = 2*m. Suppose -30 = -q - 4*x, -3*q - m*x - 7 + 65 = 0. What is the remainder when 39 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.242 * -25358.\nAnswer: 310432.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**4\/2 + g**3 - 3*g - 175. Let r(q) = 3*q**3 - 3*q**2 + 4. What is 4*h(s) + 3*r(s)?\nAnswer: s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2)*2\/10*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-17)*u\/(u**29*u*u)*(u*((u*u\/(u*u**10)*u)\/u)\/u*u)**(12\/17) assuming u is positive.\nAnswer: u**(-895\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*(-4)\/18)\/(2\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55692 and 1092?\nAnswer: 55692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (23 - 32) + (3 - 4) + -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 728574 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*h - 20. Calculate the remainder when 16 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 153772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355414?\nAnswer: 2, 19, 47, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 21*w + 523. Give h(-30).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*u + 4250943*c**3 + c*u + 6161869*u wrt c.\nAnswer: 3*c**2*u + 12752829*c**2 + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 39\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*t**2 + 117*t**2 + 66*t**2 + 63*t**2.\nAnswer: 281*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + m**2 - 2*m + 4. What is b(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5876*u. Let v(i) = -16*i. What is v(g(m))?\nAnswer: 94016*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/12 <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6613*n - 6613*n - 13*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3060, -4, -3, -2 in ascending order.\nAnswer: -3060, -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*n + 0*n - 2*n + (0*n + 5*n - 3*n)*(3 - 4 + 4))*(0 - 3 + 0 + (2 + 2 - 5)*(-3 + 1 + 3)).\nAnswer: -100*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 2*y**2 + 3*y - 4. Let j be p(-3). Does 9 divide (3\/(-6))\/(j\/144)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -144*z + 159. Let k be a(-4). What is the highest common factor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/10 - (-3 + 1084\/(-20)). Suppose q = 4*d + 1. Suppose -17*c = -d*c - 201. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5\/4 - 5*b**4\/4 + 7*b**3\/4 - 3*b**2\/4 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p**2. Let w(j) = 332*j**2. What is y(w(m))?\nAnswer: -881792*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k + 5*h + 2, 0 = 5*k + 3*h - 5. Suppose 0*s = -4*s + 132. What is the common denominator of 26 and 4\/(k\/(s\/(-6)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*c = 2*n + 253*c - 18, 2*n = -c + 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 124094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpx when three letters picked without replacement from vpvjvjvvjvvpvxvvt.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/2 + 241*j**2 - 531696*j + 144931392 = 0.\nAnswer: -1394, 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence momm when four letters picked without replacement from {k: 2, o: 2, m: 10}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7*j**3 - 3*j**3 - 5 + 0*j**3.\nAnswer: 4*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 70*297\/675.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -16007.27799688.\nAnswer: -16007.17799688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114651 and 1971.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (9 - (3 - -2) - -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 51 = 43. Solve -4*k + 2 = 2*x, -v = 2*x + 2*k - k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 8.01\nAnswer: -0.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 183 (c) 1 (d) -73 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-4)\/(-6))*7482\/172. Suppose -2*l + f = 17. 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 y(b) = b**3 + 2*b**2 + b + 1. Let o be (-2 + 17)*3\/3. Let p be 12\/(-5) - 9\/o. Calculate y(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35, 112, 241, 422, 655, 940, 1277?\n\"Answer: 26*g**2 - g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**2\/2 + 6*u + 7. Let j be q(-2). Suppose j*z + 1124 = -5*v, v + 3*v = 16. What is z rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 319*a + 6782. Does 104 divide l(62)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*m = 12, m = 3*t - 0*m + 12. Let i = -14 + 14.3. Which is the second biggest value? (a) i (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 77 = 293. Suppose 0 = -a - a - v. What is the common denominator of ((-52)\/(-28) - 2) + -5 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457562 (base 8) to base 10.\nAnswer: 155506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 + (-49 - -31 - 15) + 32?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13668*-0.5.\nAnswer: -6834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 7*c - 20. Suppose 73 = 5*v + 28. Let o(r) = -r**3 + 10*r**2 - 8*r - 7. Let h be o(v). Solve c*j = 2*m, h = -j - m - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -22. Suppose 20 = -i - k*y, 4*i - y = -5 - 24. Is -8 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29010829?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 17 - 831*c + 43 + 1 + 1778*c - 942*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-40))\/(1\/65) - 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/6*2 - -3. Let b be (s\/(-5))\/(34\/(-5)). Let n be (-1)\/(-2 + 57\/(-6)). What is the closest to 1\/3 in -4, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143993406?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6763 != -6763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89581350?\nAnswer: 2, 3, 5, 597209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 35*w**3 + 1. Let d(n) = -n + 8. Let b be d(7). Calculate the remainder when p(b) is divided by 3\/(-15) - 132\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.3 - 118.1. Round r to zero dps.\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/5 - 153*r**2\/10 - 113*r\/5 - 15\/2 = 0. Calculate r.\nAnswer: -75, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*1\/(-14) + ((-951)\/(-8559) - 34\/(-18)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3500699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -2*k**2 + 390. Let t(j) = 138*j. Determine t(u(b)).\nAnswer: -552*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-12) - (-1)\/(-3). Calculate the remainder when 16 is divided by r + 1 - 6 - -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1324411120 (base 5) to base 6\nAnswer: -155541455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 22 + 22)*(2*a**2 - a + a) + (2*a + 3*a - 4*a)*(2*a**2 - 3*a**2 - a**2) in the form c*a + n + g*a**2 + b*a**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.087*930363\nAnswer: -80941.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288)\/(-36) - (-87)\/(-15))*10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.38540025039 - 1.3854. Round b to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/6 + 362*c**3\/3 - 67307*c**2\/3 + 215390*c - 1062075\/2.\nAnswer: -(c - 357)**2*(c - 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*t**2*v + l**2*t*v - l**2*v + 42*l*t**2*v - l*t*v - 2*l*t wrt t.\nAnswer: -4*l**2*v + 84*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*c - 0*c. Let l be (1\/1)\/(c\/9). What is the second derivative of -l*m**3 - 2*m**5 + 3*m**3 - 3*m wrt m?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 22*(-1)\/14. Suppose -3*c + 20 = c. Suppose 4*a - 12 = a - 3*z, -5*a = -c*z - 30. What is the smallest value in a, -1\/2, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-354)\/(-4 + 4 + -2). Let t = -77 + h. Suppose -10*f = -209 - 51. What is the remainder when t is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 175, -5, -3, 163, -4 in increasing order.\nAnswer: -5, -4, -3, 5, 163, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -214*w - 1463. Let n be a(-7). Solve -2*j + n - 43 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2, -0.59004, 0.24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 8) to base 13\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -31*w + 269. List the prime factors of d(-18).\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(55)\/(sqrt(11)*2 - sqrt(11)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 358, 371, 392, 421, 458, 503, 556?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qddgedssdg. What is prob of picking 2 g and 2 s?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 1. Suppose -2*v = -3*q + 5*q - 6, -4*v = -5*q + 24. Let a(g) = -2*g**2 - 3*g + 5. Calculate v*a(t) + 4*k(t).\nAnswer: -2*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -117941, -117931, -117921, -117911, -117901, -117891?\n\"Answer: 10*z - 117951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71343 and 17325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 376*f**2 - 2. Let c be t(-1). Suppose -2*z + 514 = -c. Calculate the remainder when z is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1619099171 minus 212?\nAnswer: -1619099383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10639 - 10638. Put p, -7.86, -8 in increasing order.\nAnswer: -8, -7.86, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q + 6 + 869*q**3 + 1 - 4*q**2 + 8 - 870*q**3. Give x(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 11*o**4\/12 - o**2\/2 + 2. Let b(a) be the second derivative of f(a). Let p(j) = 0*j + 0*j - j - j. Calculate p(b(m)).\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 10.3427871.\nAnswer: 10.5427871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -9*t + 380. Let l = t - 18. Solve -n - l = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 20847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/13 (b) -0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - -32030233110?\nAnswer: 32030233013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 5*s**2 - 6*s + 389. Let a(r) = -r**3 - 6*r**2 + 7*r - 388. Let w(x) = 6*a(x) + 7*d(x). Is w(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -360, -275, -132, 69, 328, 645?\n\"Answer: 29*j**2 - 2*j - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 - 351078029145?\nAnswer: -351078029142.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165655*n**3 - 5183*n + 19.\nAnswer: -993930*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1870*p**4 - 751*p**2 wrt p?\nAnswer: -44880*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 1. Let n be i(1). Let v be 1*(n + 2 + 1). Let l(x) = 7*x**2 - 9*x - 2. Let t(f) = -2*f**2 + 2*f + 1. Let o(w) = l(w) + 4*t(w). Determine o(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**6\/c)\/c**1)**(-41) assuming c is positive.\nAnswer: c**(-164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110022 + -1?\nAnswer: 110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 8, -2*o + 116 = v - 6*o. Calculate the highest common factor of v and 852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 - -0.05. Let c = -0.55 + n. Let y = -0.05 + c. Is y at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -5*j - 6. What is the highest common divisor of j and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -1545354?\nAnswer: -1545354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 33 - 21 = 0. Let y(b) = -5*b - 2. Calculate the remainder when y(-2) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*m - 1412 = -2942 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s - 12*s + 10*s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-253)\/(-77) + (-4)\/14. Suppose -j = -3*m + 3. Calculate the lowest common multiple of m\/3 + 78\/18 and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 26*k - 931. Let b(u) = 70*u - 2794. Give 3*b(g) - 8*w(g).\nAnswer: 2*g - 934","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -133, -568, -1313, -2374, -3757, -5468, -7513?\n\"Answer: -x**3 - 149*x**2 + 19*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 - 2 + 4 + (6 - 3 - 2)*(-3 - 1 + 3) + 1 + 5 - 4)*(-l - 4*l + 2*l).\nAnswer: 261*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106783?\nAnswer: 106783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*-3*sqrt(209)*-3)\/(sqrt(550)\/sqrt(2) + -3*sqrt(110)\/sqrt(10)).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, f: 3, h: 1, e: 1, g: 3, s: 1}. What is prob of picking 1 s, 1 g, and 1 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2879*u**5 - 6550*u**2?\nAnswer: 172740*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40998057*d**5 - 3*d**2 - 14787549*d wrt d?\nAnswer: -2459883420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*k - 26, 0*p + 3*k = 3*p - 18. Solve 2*t - 3 = -3*u + 4, 0 = u + t - p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -754*c**3 + 117*c**2 - 117*c + 117. Let h(r) = -13*r**3 + 2*r**2 - 2*r + 2. What is -4*a(m) + 234*h(m)?\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -375, -448, -521, -594, -667?\n\"Answer: -73*s - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(0 + (-2)\/(-4)). Suppose 3*q + 4*b + 594 = 0, -b = -4*q + 3*b - 820. Let i be (q - -2)*(-999 - f). Round i to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -15, -1\/10 in ascending order.\nAnswer: -15, -1\/10, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 617*k**3 - 9*k**2 - 137*k**3 + 9*k**2 + 377*k**3 - 2*k.\nAnswer: 857*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**38*j*j*j)\/j**32*(j*j*j*j**(2\/37))\/j*j**(-16)\/j assuming j is positive.\nAnswer: j**(-183\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60890097 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 619360?\nAnswer: 619360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288047 and 2608651?\nAnswer: 4057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49024 at least 49027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**2 + 1046018750*b - 54707761267578125 = 0 for b.\nAnswer: 104601875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h - 12 = 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/30 and 2\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/15 + 64*z**2\/15 + 206*z\/15 + 28\/3.\nAnswer: -2*(z - 35)*(z + 1)*(z + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**14*f)**47)**(5\/4) assuming f is positive.\nAnswer: f**(3525\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63? (a) -5 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/51 in -0.3, 0.3, 0.39?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -713*b + 708*b - 65 = -5*y, 4*y + 3*b - 59 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**3 - 3984*i**2 + 15897*i - 11916 = 0?\nAnswer: 1, 3, 1324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/55*((-378)\/9)\/3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 26*l**3\/3 - 3537. Let s(r) = -r. Let m(j) = -j. Let x(y) = 3*m(y) - 4*s(y). Give f(x(k)).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1391907 divided by -3\nAnswer: 463969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*z**4 - 38360*j**2*z**2 - 41*j**2*z - 639*j**2 wrt z.\nAnswer: -24*j**2*z**2 - 76720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 4. Let v = y + 6. Solve 13 = v*o - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 9*f**2 + 6*f - 57. What is a(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuuu. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-405)\/324*(-2)\/15.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -327 at most as big as -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 13*z + 42. Let v be y(-10). Solve v = 6*p - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 2}. Give prob of picking 2 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 63 = -3*i, -4*g + 45 = 3*i - 20. What is the third derivative of -65*b**2 + 2*b**5 - i*b**4 + 0*b**4 + 37*b**4 wrt b?\nAnswer: 120*b**2 + 432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 33 = 172. Let n = -25 + q. Which is smaller: 17 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-15) - (-10 - -7)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 2 + 0*l**2 - 4 + 3 + 10*l**3. Let r be z(-1). Let t = r - -17. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25444615753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -30*t**4 + 203755*t**3 - 2407665*t**2 + 5186700*t = 0.\nAnswer: 0, 17\/6, 9, 6780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 3*b + 23, 1407*a = 1412*a - 4*b + 49 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0+1242388\nAnswer: 1242388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(2 - -48))\/((-6)\/(-15))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-6)*-4*(-12)\/(-8). Solve 0 = 4*k + 4*q + 12, 4*k + q + q = -m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77562 is divided by 38781?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51980 = 738*i - 742*i - 5*c, 12974 = i - 4*c. Round i to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.027327 + 0.0293. Round x to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -17 + (-1 + -1 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 2, i: 1, u: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 378972824731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13580\/(-2328) - (6\/9 + (-2)\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, a: 1, l: 1, f: 1, w: 1}. Give prob of sequence wol.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -17, 2\/106201, 2\/11, 0.2?\nAnswer: 2\/106201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1. Let h(z) = -z - 10. Let l = -4 - -1. Let n(w) = l*q(w) - h(w). Calculate the remainder when n(8) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 3) to base 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdih when four letters picked without replacement from {j: 6, i: 3, h: 6, d: 2, a: 3}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(2\/71)*y**(2\/33)*y**(-8) assuming y is positive.\nAnswer: y**(-18734\/2343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (153\/126 + -1)\/(-2 - 2186\/(-1096)). Sort i, 0.2, -3\/7, 5, 0.5.\nAnswer: i, -3\/7, 0.2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 = 4*z - 0*z. What is the remainder when z is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - 2*k**2 + 4 - k**2 + (-3 + 2 + 3)*(-4*k + 4*k - 2*k**2) + (-2 - k + 2)*(-4*k + 2*k + 0*k).\nAnswer: -3*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 8 = -2*a, -3*k + 3 - 11 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (3\/((-6)\/4))\/(-2)*32 and 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87074*0.1.\nAnswer: -8707.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 84.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.85 + -0.7. What is l rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*t**2 - 13*t**2 + 43*t**2 + 281*t - 2907*t + 1 - 16*t**2 to the form h*t**2 + p*t + i and give p.\nAnswer: -2626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 90 and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4234302401 (base 5) to base 2.\nAnswer: -100001111100111011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2947*n**2*u**2 - 1974*n**2 + 14*n*u wrt u.\nAnswer: -5894*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbffsil. Give prob of picking 1 f, 1 i, and 2 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7. Let g(t) be the third derivative of t**5\/60 + t**4\/12 - t**3\/2 + 8*t**2. What is the units digit of g(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 24 - -11 - 3) + -17?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004123 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/((-8)\/(-2))*0. Suppose x - 4*j + 4 = 56, -2*x + 5*j + 95 = l. Calculate the greatest common divisor of 100 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3*t - 29 = 0, -295*x + 6*t = -299*x + 34 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.0000044 + -26. Round x to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 759, 1525, 2293, 3063?\n\"Answer: q**2 + 763*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*j - 8*j - 7*j)*(-6*j**2 + j**2 + 2*j**2) - 2*j**3 - j**3 + 2*j**3)*(27*j**2 - 17*j**2 + 47*j**2).\nAnswer: 1482*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416747 = 7436*o + 373766 - 39477 for o.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.06 + 0.06. Let k = -275.64 - 2.36. Let y = k + 277.9. What is the smallest value in y, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(208) - sqrt(13) - sqrt(13)) + -2)**2 + sqrt(13) + sqrt(1573) + 1 + sqrt(1573) + sqrt(1573).\nAnswer: 54*sqrt(13) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 22992716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. What is the nearest to t in -2\/7, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**2. Let a(b) be the second derivative of -b**3\/2 - b + 7. Determine g(a(z)).\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 433, 2\/15 in descending order.\nAnswer: 433, 2\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -29. Let p be (1*-2)\/(g\/2). Let t(s) = -s**3 + 52*s**2 + 54*s - 56. Let l be t(53). Which is the smallest value? (a) l (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -7*w - 186. Which is smaller: w or -30?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79 + -71 - (-1 - -6)) + -41 + 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(91)*6 + -3*(sqrt(91)*-1 + sqrt(91) - sqrt(91)))*1)\/(sqrt(112) + sqrt(112)*1*-6 + (2*sqrt(112) + sqrt(112))*5).\nAnswer: 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 3*g - 4*v, -9*g + 18*g - 35*v + 160 = 12*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 321872 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 198\/(-231)*(-7)\/56\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y + 2*y + 4*y**2 + 22*y + 55*y.\nAnswer: 4*y**2 + 62*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxgxxagaxaf. What is prob of sequence gg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {h: 1, k: 1, f: 1, o: 1, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*i + 8517 = 0, -31*j + 32*j = -5*i + 1752. Calculate the remainder when j is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 4.487, 0.0489, 3, -3, -3\/5?\nAnswer: 4.487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0102044546 to four dps.\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3346 or -350?\nAnswer: -350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -5 (c) 3 (d) -2\/3 (e) -7\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 0 + -2 + sqrt(720) + 3)*4 + (-2*-5*(sqrt(720) + 2*sqrt(720))*-1)**2.\nAnswer: 96*sqrt(5) + 648004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)\/(k\/k**(-15))*(k**6*k)**(25\/7) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 386.8 + -193.1. Let c = 194 - t. Let x = 0.2 + -0.7. Sort -2, c, x in decreasing order.\nAnswer: c, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - w + 6*w + 25, 0 = -3*g - 5*w + 25. Suppose 3*t - 5*k - 127 = 0, 2*t + 34 - 102 = -5*k. Calculate the remainder when t is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/8)*p**(-3\/7) assuming p is positive.\nAnswer: p**(-31\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -10. Let u = p - 3. What is the remainder when (14*1)\/(u\/(-2)) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.8573 times -1\nAnswer: -10.8573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -5. Let f(u) = 3*u**2 + 15*u - 8. Let i(z) = 2*z**2 + 8*z - 4. Let t(d) = -3*f(d) + 5*i(d). Is t(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**8\/6720 + j**6\/240 + 11*j**5\/20 - 34*j**2. Let g(a) be the third derivative of c(a). Differentiate g(q) wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1081914 + 2634*o - 1081914.\nAnswer: 2634*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiizrooeyio. Give prob of picking 1 r and 1 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 79*m + 162.\nAnswer: -(m - 2)*(m + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-435)\/(-2))\/(24\/32). Suppose 2*t + c = 5*n - 3*t, 0 = 5*n - 2*t - 284. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 124*f**2 - 5*f + 20. Let r(g) = 2*g**2 + g - 4. Let w(j) = b(j) + 5*r(j). Let x(d) = 3*d. Determine w(x(l)).\nAnswer: 1206*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 209 - 367 = 0. Let u = 103 + i. Let x(h) = 4*h**2 - h + 9. Does 11 divide x(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 - (-5622401)\/4. Suppose -7*l = -35*l + i. Round l to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfllbllhflyill. What is prob of picking 1 y and 2 l?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l + 4*f = 34*l, -20 = -2*l - 4*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 1. Let c be z(-3). Suppose 2*n - 5*o + 9 = 0, -3*o + c*o = -5. Solve -n = 3*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 = 0, 9*y - 12*y + 29 = 4*o. What is the greatest common divisor of y and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 8.88\nAnswer: -8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9745153, -19490338, -29235525, -38980714, -48725905, -58471098, -68216293?\nAnswer: -77961490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**5\/60 - s**4\/6 + s**3\/6 + 20*s**2. What is f(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 42 - 11 + 2*y - 14 - 10. Calculate z(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 9*s - 11*s - a, -3 = -1209*s + 1205*s - a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -103, 2 in descending order.\nAnswer: 5, 2, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krb when three letters picked without replacement from {r: 1, k: 5, t: 1, b: 1, q: 2}.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 + 19 = 0. Let d = 4 + b. Are d and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1441\/131)\/((12\/18)\/((-6)\/9))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-4))\/1 + -8. Let b be ((-2)\/3)\/1*x. Suppose 28 = b*i - 4*i. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 108 = -4*i, -l - 3 + 92 = 3*i. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -h. Suppose h = -5*r + 20 - 0. List the prime factors of (-6)\/(-4)*24\/r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, u: 14}. What is prob of sequence usu?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/8 - 3*l**3 - 3*l**2\/2 + 208*l - 384.\nAnswer: -(l - 6)*(l - 2)*(l + 16)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, 3, 1\/3, -0.08, -0.396 in increasing order.\nAnswer: -140, -0.396, -0.08, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 77 - 29 = 0. Let w be 1\/((44\/u)\/(-11)). Is w\/8 + 3017\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 20. Let o be g(25). Let d = -0.7 - -0.8. Let a = -2.9 - d. What is the second biggest value in -2, o, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/72*-2*-2*(-12)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**5\/p**(-9)*(p*p*p**(-2)\/p)\/p**0 assuming p is positive.\nAnswer: p**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 10 = -8*u + 9*u, f + 20 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2 - 11 - 3 + 7 - 3*h. Let y(r) = -6*r - 9. Determine -5*s(j) + 3*y(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6049, 1\/7, -3.\nAnswer: -3, 1\/7, 6049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 29 = -r, -4*r - d - 40 = 133. Let v be 16\/(2 - (-16)\/(-6)). Let j = v - r. Solve -j = 6*g - g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5, 16, 31, 44, 49, 40?\n\"Answer: -p**3 + 8*p**2 - 6*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*-3 + sqrt(13) + sqrt(208) + 4)**2.\nAnswer: -8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*h + 7 = 0, -6 = -2*h - 0*h. Let u be (f\/(-4))\/(6\/96). Suppose y = 2*y + 7. Which is bigger: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 k when three letters picked without replacement from aakljljllkkakaa?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 12:19 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 86180 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 426?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -34. Let h be 1*-1 + u\/(-5). Suppose 0 = h*t + s + 4*s - 30, 0 = -s + 2. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*y = 4, j + 4*y + 6 = -1. Let i(g) = -2*g + 19*g - g**3 + 2*g**2 - 13*g + j. Calculate i(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 - 56*o - 22. What is f(-14)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 34\/(-10) + (-6)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - 5) - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2*5)\/(2 + 0). Let t = 13 - h. Suppose 22*g = t*g + 4. Let n(f) = -2*f**3 - f**2 + 2*f - 1. What is n(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 599002\/7 + -84765. Let q = 808 - x. Let -3\/7*y**2 - 3\/7*y**5 + 3\/7*y**4 + q*y**3 + 0 - 6\/7*y = 0. What is y?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.33, -0.2, 0.5 in ascending order.\nAnswer: -0.2, 0.33, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129 by -3.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -27. Let l = n + -6. Let s(k) = k**2 + 1 + 0*k**2 - 3*k - 2*k**2 - k**2 - 2 + k**3. Calculate s(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 540 and 300.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9}. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 4. Let y be n(8). Let m(h) = y*h - 12 + 1 - 3*h. Let z be m(8). Sort 4, 0, z.\nAnswer: z, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -5. Let g(k) = -k. Let j(o) = o + 1. Let x(d) = w*g(d) - 2*j(d). Determine x(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 1:58 AM?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**5 + 544*f**4 + 2848*f**3 - 3928*f**2 - 2844*f + 3384 = 0. What is f?\nAnswer: -6, -1, 1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 a when three letters picked without replacement from anjjjsjjsnjajna.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 13. Suppose 0 = t + 3*d - 19 + 2, -3*t + l*d = 19. Suppose -t*b + 95 - 3 = 0. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 k, and 1 o when three letters picked without replacement from {o: 3, k: 4, t: 3, p: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 388878\/(-5122) - ((-1)\/(-13))\/1.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 583 - 577. Solve -s = -x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31953, -32005, -32055, -32103, -32149?\n\"Answer: g**2 - 55*g - 31899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8459.64 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 165080836 times 2\nAnswer: 330161672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202 - -104. Let s = c - -141. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*j - 5*j + 6358, -2*h - j = -4237. Suppose t + h = 8*t. List the prime factors of t.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50, 29, 108, 187, 266, 345?\n\"Answer: 79*y - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -20*v + 29 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 20*x**2 - 27*x + 26. List the prime factors of c(-19).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - -17*(-28)\/96 and -30\/7.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 30 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13685 - -14857. Calculate the highest common divisor of 402 and l.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -3, -1\/178, 10.57, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from ttytty.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.410583 kilometers in centimeters?\nAnswer: 941058.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15382439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/40 - 19\/145. Let a be ((-1)\/(-6))\/(3\/(-12)). Let n be 0 + -4 + (-20)\/(280\/(-63)). What is the nearest to a in n, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.044 * 3.691.\nAnswer: -0.162404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*k - 9*k**3 - 3*k**2 + 4*k**2 - 8*k**3 - 14*k**3.\nAnswer: -31*k**3 + k**2 + 63*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/19, 4, -2, 2\/2107, 0.2, 16\/9, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2. Let w be c(2). Let l = 2153\/515 + 2\/103. Find the common denominator of l and 3\/((-97)\/w - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13225026 (base 8) to base 5.\nAnswer: 1224204034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156471668.\nAnswer: 2, 23, 37, 43, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y - 6. Let h be x(-5). Suppose 3*r = -r + 20. Suppose -14 = -r*g + 121. Solve h = -4*d - v, 2*d + 3*v = -g + 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, l: 9}. What is prob of picking 2 l and 1 v?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + n - 112 = -3*r, -2*r + 49 = -n. Suppose 2*a = 5*i - 19, 4*i = -a - 0*a + r. Suppose 0 = 3*v - 15 + a, 0 = -4*b - 4*v + 4. Does b = -7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*-1359\nAnswer: 149.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 132600.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 0*p - 1 + p + 0 + 0. Let n(i) = -i - 5. Let m(k) = -n(k) - 2*s(k). Let z be m(0). Is z greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515195997 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.2 - -11. Let l = -731 + 730.7. What is the closest to 2\/5 in l, -15, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -925 - 2745 = -10*z. What is the remainder when z is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/8120 and 181\/6090.\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - 2 - (-190)\/9. Let h(v) = 24*v + 1. Let k be h(-1). Let j = d + k. What is the closest to 3 in 5, -0.1, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 71\/((-639)\/(-324))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58077?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0 = 5*r + 55, -15 = r + 3*i. Let u(c) = -37*c + 39. What is the tens digit of u(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - j + (-3 + 2 - 1)*(2 - 2 + j))*(j**3 + 0*j**3 + j**3 + (-4*j + 5*j - 3*j)*(5*j**2 + 5*j**2 + 0*j**2)).\nAnswer: 54*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 35 = 6*m. Let c = m + -13. Is 2 a factor of ((-12)\/9)\/(4\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-14))\/(-3) + 23\/((-322)\/(-270)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2645 divided by 529?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 3)*(0*w + 0*w - w) + (-w + 2*w + 0*w)*(-2 - 6 + 3) + w - w - w)*(21 - 1 - 4).\nAnswer: -64*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258325, -258285, -258245, -258205, -258165?\nAnswer: -258125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44668 greater than or equal to 44667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from afajjjjajjjjaj?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*q**5 + 10*q**2 - 10*q**2 + (8 + 39 - 15)*(-q**5 + 0 + 0).\nAnswer: -44*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.012 and -3177.\nAnswer: -3176.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocrfr. Give prob of sequence orc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -12 - 16*u + 5 + 22 - 15. Let y(w) = 5*w**2 - 3. Calculate k(y(o)).\nAnswer: -80*o**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 5 + 5)*(24 - 1 - 8 + (-4 + 0 + 2)*(3 - 3 - 2) + 0 + 2 + 0)*(4*x**2 + 6*x**2 - 2*x**2) in the form r*x + o*x**2 + f and give o.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 i when three letters picked without replacement from ijjii.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42708, 85416, 128124, 170832?\nAnswer: 213540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 = 3*m. Find the third derivative of 2*x**m - 3*x**2 - x**5 + 0*x**2 wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31096 and 12.\nAnswer: -373152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1904 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let t(m) = 14*m**2 - 3*m. Determine t(j(v)).\nAnswer: 56*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - 3*(-21)\/9. Suppose -3*d + 27 = v. Solve 2*n + 4 = q - 3*q, n - 10 = d*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-166)\/12 - 8\/48. Let m(u) = u**2 + 12*u - 28. Let n be m(x). Let f be (-7 - -2)*1*1. What is the second smallest value in f, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -30*o + 85. Suppose -150327 = 11*m - 150360. What is d(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1916583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035133638 rounded to six dps?\nAnswer: -0.000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from xebbttxxeetteee.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 730796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110100000100101110 (base 2) to base 7.\nAnswer: 6161246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 40*q - 188. Let t be h(24). Solve 6 = -t*s - 5*a + 4*a, 3*s = -3*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6928*0.3\nAnswer: 2078.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(3\/8))\/u)\/(u**0*u))\/((u**(4\/7)\/u)\/(u*u**(-1\/3)\/u*u*u)))\/((u**(1\/4))**(-7)\/(u\/u**(-1\/3))**33) assuming u is positive.\nAnswer: u**(7933\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 f, and 1 z when four letters picked without replacement from izaaaafiqirrzf?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 68171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -13 - (18 + (-54 - -8)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -4\/9, 0.1 in decreasing order.\nAnswer: 0.1, -0.01, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014730529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*q**2 + q - 176*q**2 - 117*q**2 - 130*q**2.\nAnswer: -311*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 37 - 6 = -2*y, 4*y - 77 = -3*w. Solve 0 = 5*j + 3*z + 1, -4*j = -y*z + 18*z - 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231500 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17909353*v**4 - 15486007 with respect to v.\nAnswer: -71637412*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 20*b + 17. Let p(w) = -39*w - 33. Let d(y) = 11*i(y) + 6*p(y). Let f(g) = 5*g + 4. What is -3*d(c) - 8*f(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20612, -20788, -20962, -21134?\n\"Answer: d**2 - 179*d - 20434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.729 + 0.029. Let v = 5373.245 + -5368.544922. Let w = v + a. What is w rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0*k**6 + 8\/3*k**3 - 69*k**2 + 0 + 0*k - 69\/112*k**8 + 7\/24*k**4 + 0*k**5 + 0*k**7. Find the second derivative of y(i) wrt i.\nAnswer: -4140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*i + 27. Find the third derivative of -52*b + 52*b + 33*b**i + 30*b**2 wrt b.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + i + 0 = 8, -4*r + 12 = i. Suppose r*x - 77 - 31 = 0. What is the remainder when x is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 323, 308, 283, 242, 179, 88?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**4 - 33*u**3 + 302 wrt u?\nAnswer: 8*u**3 - 99*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 877483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 194813 - -2?\nAnswer: 194815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22998714*v**6 + 2055*v**2 - 44*v - 11 wrt v.\nAnswer: -2759845680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(288) - sqrt(288))**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6\/31 - 1027\/620. Calculate the common denominator of c and -91\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**8\/560 - 7*b**3\/3 - 7*b**2. Let q(c) be the first derivative of l(c). Factor q(g).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ba (base 12) to base 10\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*n + 7 - n - 6 to the form l*n + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(((-30)\/9)\/5). Suppose -i + 6*i + 5*h - 30 = 0, 4*i + h = t. Suppose 4*z + 3 = 27. Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 94*p + 94*p - 2*p**2 - 189*p + 53 + 3*p**2. Give c(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4 - 7) + 11 + 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -685\/6 + 115. Put 0, -0.2, y in increasing order.\nAnswer: -0.2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -34*s**3 - 2*s + 3. Let c be l(-3). Let d = 8351\/9 - c. Factor -d*f**4 + 0 + 0*f**2 + 2\/9*f**3 + 0*f.\nAnswer: -2*f**3*(4*f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-6) + 11)\/(-4 + (-2 - -7))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 - 3)*2\/4. Suppose 9*f - 20 = j*f. Suppose -33 = -4*w - 5*a, -4*w - f*a = -28 - 0. Calculate the remainder when w is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 567*h**2*r**3 - 445*h**2*r + 2380*r**3 + 42*r wrt h.\nAnswer: 1134*h*r**3 - 890*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -3*o + 10, -7*s = -4*o - 11*s + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v**2 + 5*v. Let b(g) = 8*g**2 - 4*g. Calculate 5*b(y) + 4*n(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 = -12*m + 5*x, 11*m - 8*m + 2*x + 4*x - x = 35 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18567656?\nAnswer: 2, 29, 163, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1.1. Let y = -95 + 381\/4. Which is the third smallest value? (a) y (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618c1 (base 13) in base 8?\nAnswer: 525740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (3 - 12 - (-16 - -11)) - -10 - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 20 = -19*t. Is (83 - 84) + (9799 - t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4)*(3 - -11). Find the second derivative of 0*g**2 + 8*g**2 - 26*g + h*g wrt g.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 462348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = t - 7*f - 95, 2*t - 5*f = 151. Suppose 86*y = t*y + 267. What is the remainder when y is divided by 82?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 124\/3*s**3 + 4\/5*s**5 + 17*s**4 + 30*s**2 - 3 + 0*s. Let n(d) = 0. Calculate d.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 18728 + 18728. Let a(g) = 24*g**2 + 0*g**2 + 13 - 14 - 6*g**2. What is a(i(y))?\nAnswer: 18*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0*z**2 - 32*z + 1\/12*z**4 + 0*z**3 + 0. Let m(r) = r. Determine m(c(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + sqrt(272) - (sqrt(17)*-1 - sqrt(17))*-2) - ((sqrt(204) - sqrt(204)*2)\/sqrt(12) + 3*sqrt(17)*5))**2.\nAnswer: -112*sqrt(17) + 3348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**5\/20 - x**4\/24 - 607*x**2. Let g(c) = c**2. Give g(w(o)).\nAnswer: 9*o**4 - 6*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.5, 35, -6, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18650715\/4 less than 4662680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*4 + 308\/7. Let d = s - 35. Find the second derivative of -8*v - 3*v - d*v - 3*v**4 + v wrt v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 2*s**2 - 42 + 20*s - 62 + 3*s**2.\nAnswer: 5*(s - 3)*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 171929\nAnswer: 4\/171929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.85 + -0.15. Let i = 0.0433 - -28.9567. Which is the biggest value? (a) j (b) 2\/9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 4*k**4\/3 - 2*k**3\/3 + 5*k**2\/2 - k. Is v(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4) - sqrt(12))\/sqrt(6)*-3*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*w + 616 = 0, 4*w = 2*d - 5*d + 473. Calculate the remainder when d is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = 6*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 228408809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(275))*-4 + sqrt(66)\/(sqrt(18)\/sqrt(3)) - (6*(sqrt(55)\/sqrt(5))**2 + -2 + 5))*1.\nAnswer: -23*sqrt(11) - 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*i - 166*i - 5595 = 116*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147160 divided by 1132.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*j - 10 = 0, -3*j = -c - 4*j + 7. Suppose o = 2*p + 133, 301 = 2*o + c*p - 0*p. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-16)\/7*(-413)\/118 and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -16 - (-2 + (3 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 + 72. Let x(q) be the third derivative of q**4\/8 - 5*q**3\/6 - q**2. Determine x(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 21*s**2 + 196*s - 5. Let r be d(28). Let f = 26 - 24. Let l(z) = -z - 1. Let j be l(-1). Sort f, 4, r, j in ascending order.\nAnswer: r, j, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18156\/25 or -727?\nAnswer: -727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 372 - 367. Calculate the common denominator of (-6)\/q + 1 + (-1710)\/1260 and 13\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.697825 less than 378004?\nAnswer: 378003.302175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 8. Suppose a*v - 206 = -3*r + 6*v, -r - 4*v + 42 = 0. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -51. Let i be (-2348)\/s + 6\/(-39). Suppose 3*u - 8 = 46. What is the highest common factor of i and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 5432.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 34. Let b be y(13). Suppose 0 = -5*z + 5, 0*z + 2*z + b = 5*t. Suppose -t*j + 3 = -9. Solve -15 = -3*m + j*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 3\/13, -0.5, 2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 - 1\/4. Let q be ((y + -2)\/10)\/(-1). Which is the third biggest value? (a) 0.5 (b) q (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 50*l - 301. Let k be d(6). Which is greater: 2\/1043 or k?\nAnswer: 2\/1043","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2829*h - 957*h + 141813 = 592347 for h.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1094 = -w - 3*n, 4*w - 2*n - 1099 = 3*w. Let z = 733 - w. What is the remainder when 23 is divided by (-4)\/(-14) - (-13)\/(z\/(-328))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 1. Let b(w) = -3*w - 38. Let n(a) = -b(a) + 4*u(a). Let h be n(26). Solve -12*l + 8 = -h*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 - 2 + 6 - 2 + (5 - 1 - 5)*(1 - 2 + 2) + (29 - 25 + 67)*(-1 + 0 + 0))*(-h**3 + 0*h**3 + 2*h**3).\nAnswer: -69*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from kkzxjltjxjjktzxzx?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-278)\/(-2502)*153\/(-4).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 40. Let x be w(-9). Let q be (-22)\/(-10) - 2 - 79\/x. Let p be 4\/(-6) + (-338)\/(-3). What is the highest common factor of q and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = -1051. Suppose -114*m + 111*m = -h. Calculate the greatest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**4\/m*m\/m**(-4)*(m\/(m*m**(-2\/7)\/m))**19*(m*(m*m\/(m*(m*m**(1\/7))\/m*m))\/m*m*m*m*m**(-1))\/(m**6\/m**6) assuming m is positive.\nAnswer: m**(247\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16)*(t\/(t**2\/t)*t*t*t)\/t*(t*t**(-2\/7))\/t*t*t\/(t**(-10)\/t))**(-26) assuming t is positive.\nAnswer: t**(234\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 64. Calculate the remainder when q is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 3926 = -114. Let i = 508 - d. What is the lowest common multiple of 37 and i?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 88\/6 + (-6)\/(-18)*-2. Suppose 3*v - 6 = -0*z + 4*z, -3*z - 4 = -2*v. What is the third derivative of d*g**v + g**5 - 5*g**2 - g**5 + 9*g**6 wrt g?\nAnswer: 1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4554 and 396?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, g: 6, p: 1, o: 4, z: 3, x: 1}. Give prob of sequence opg.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 20, -o - 4*o + 5*h - 350 = 0. Let z = o + 76. Suppose -5*s + 167 = z*t, 3*t - s - 127 = 98. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 9, 11, 13, 15, 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 21*r - 23. List the prime factors of i(7).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3932375, -3932370, -3932365, -3932360, -3932355?\nAnswer: -3932350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 267 and 1467254?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 + 2*u + 1. Let v be j(-8). Let i = 27 + v. Factor 122\/7*p**2 - i*p**3 + 8\/7 + 18\/7*p**4 - 8*p.\nAnswer: 2*(p - 2)**2*(3*p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g + g**3 + 0 + 1 - 3*g**3 + 2*g**3 - 2*g**3 - g**3 + (-4 - 3 + 3)*(-3*g**3 + 5*g**3 - 4*g**3) + (0*g**3 + 2*g**3 - 3*g**3)*(4 - 3 + 0).\nAnswer: 4*g**3 + 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*s - 49 = 156*s + 3*l, 7*s - 3*l - 4 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**4\/4 - j**3 + j**2 - 3*j - 156. Let w(b) = -b**3 - 3*b**2 + 4*b + 4. Let g be w(-4). Let a = -8 + g. What is z(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -117, 361, 1373, 2919, 4999?\n\"Answer: 267*m**2 - 323*m - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*y - 111 = 136*y - 5*z, -3*z + 63 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n + 5*n = 60 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -19. Let b be (0 + 5)*y\/7. Let m = -16 - b. Which is smaller: 1\/20 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54.1 + -29.9. Let s = 24 - j. Let l = -87 - -94. Which is the nearest to 0.1? (a) s (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 + 3744233.9436.\nAnswer: 3744219.9436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-3 + 3 - 1)*(-9 - 32 - 4)*(1 - 2 - 1)*(-1 + 1 - 1)*(5 - 2*u - 5).\nAnswer: 180*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = -8*j + 3*j, 3*j - 24 = 3*x. Suppose -5*t - 20 = 0, t = j*c - t + 216. Let b = c - -94. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (980\/108290)\/((-2)\/(-34))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 8*a**2 - 8*a + 4. Let p be o(7). Let r be 3206 + 1 - (0 + p). Suppose 0 = 7*l - 10*l - r. What is l rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 9:43 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, -650, -2511, -6186, -12281, -21402, -34155, -51146?\n\"Answer: -101*a**3 + 2*a**2 + 48*a + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 - 117*b**3 + 42*b + 110*b**3 - 1 - 3*b**2 - 76*b + 34*b as a*b + l*b**4 + t + c*b**3 + x*b**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 1. Let x(i) = -41*i - 9. Let m(v) = 5*u(v) + x(v). What is the units digit of m(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*b - 13 = 0, r + r + b - 8 = 0. Solve -4 = x - r*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 5, -2\/5, -0.93?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**3 + 2*n**2 + 5. Let x(j) = -7*j**3 - 3*j**2 - 5. Give 3*r(k) + 2*x(k).\nAnswer: 4*k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**4\/10 + 4*v**3\/3 - 9*v**2\/5 + 7. Factor c(g).\nAnswer: -2*g*(g - 9)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 1507 = -103. Solve -r - 22*r = -o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, r: 4, l: 3}. Give prob of picking 2 r and 1 l.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.07, 3\/73, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8790340?\nAnswer: 2, 5, 13, 33809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 11. Let a be ((-30)\/90)\/((-1)\/279). Suppose 0 = -3*q - 6, -160 = -3*w + 5*q + a. Calculate the highest common divisor of y and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2312 - 41*g + 154*g - 2298)*(-2 - 2 + 1) as u + s*g and give s.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.5, -16, 1\/6, -10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2408987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/6 + (-2)\/(-3). Suppose q*u + 4 = -5*k + 4*u, -3*k - 4*u - 4 = 0. Let t(c) = -8*c**2 - 9 + 13*c**2 - 2 + c**3 - 6*c**2. What is t(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191249.\nAnswer: 191249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10527\/1452 - 60\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (244 - 54*j - 244)*(-16 + 26*j**2 + 16)*(4 - 2 - 3).\nAnswer: 1404*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r**4 + 5*r**4 - 16 + 5*r**4 wrt r?\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3114*s + 3115*s + 41 = 0, 0 = 2*p + 4*s + 40 + 128 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 1:49 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 2\/3 (c) -2\/13 (d) 0.4 (e) 7\/335\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 31*s + 38. Let g be w(-9). Suppose 3*p = 3*b - 78, b + 13 = g*p + 40. Solve -23*z = -b*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*m**4 + 480*m**3 - 164*m**2 - 336*m - 80.\nAnswer: 4*(m - 1)*(m + 5)*(5*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 141203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j + 245 - 167 = 0. Solve 4*k - 30 = 2*u, 3*k = -2*u + j*k - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001106 rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2)*a**(-6\/7)*a)\/(((a*a\/a**(-2\/9))\/a*a*a)\/a)**(-5\/2))\/((a**(-3)*a**3)\/((a**(-2)*a)\/a)**(3\/19)) assuming a is positive.\nAnswer: a**(14083\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 501, 516, 513, 480, 405?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3478.032 - 3463. Let t = f + -15. Let b = 4.868 + t. Round b to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 15 = 4*m - 5*t, 0 = m - t + 3. Suppose -3*a + m*a = -30. What is the highest common divisor of 70 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6055*-0.19.\nAnswer: 1150.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000182666856 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1342 + 1?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110111101 (base 2) to base 13.\nAnswer: b95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 0.3 (c) 654 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1088\/78 - ((-37257)\/(-1287) + -29).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3106951.\nAnswer: 467, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2db32 (base 14) to base 9.\nAnswer: 184308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006526185 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -226\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (31 - -5) + -38\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - w = 4*w - 28, 0 = 2*a + 3*w + 12. Let n(u) = -u**3 - 8*u**2 + 2*u - 19. What is the lowest common multiple of n(a) and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m + 69. Let x be h(-22). Factor -y**2 + 356*y**3 + x*y - 1 - 355*y**3 - y**2 - y**2.\nAnswer: (y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 16 = 2*v, 4*x - 8*x + 26 = 5*v. Suppose -7*m - v = -20. Suppose 3*u - 727 = -5*j, 4*j - 2*u - m*u - 556 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 52 + 34)*(3*r + 2*r - 6*r)*(r + 1 - 1)*(3*r - 3*r + r**2) to f*r**3 + t*r**4 + o*r**2 + x + q*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65516?\nAnswer: 2, 11, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-101.\nAnswer: -60.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p - 15 = 0. Let r(s) be the first derivative of -s**4\/24 + s**3\/2 - 2*s**2 - 13. Let d(v) be the second derivative of r(v). Determine d(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*c + 23*c + 1 - 3 - 3*c to p + x*c and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.521 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87.9993895 - -88. What is j rounded to 5 decimal places?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (1 - 14 - (-4 + -26 - -20)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - y**2 - y - 1. Let h(v) = -4*v**3 + 8*v**2 + 5*v + 1. Let n(b) = -h(b) - 6*x(b). Calculate the remainder when 2 + -2*-2*9 is divided by n(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 16*n**3\/3 - 33. Let w(h) = -10*h. What is w(k(z))?\nAnswer: -160*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*s**2 - 61727*s**3 + 61726*s**3 + 53*s**2 + 52*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -306968.800015 + 306968. Let a = y + 0.8. Round a to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 506 and 114246?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + -0.2. Let k = -29.8 + 25.8. Put k, -5\/7, a in decreasing order.\nAnswer: a, -5\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + (-21)\/(-5))\/(2\/390)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + 0. What is the remainder when a is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb963 (base 12) in base 13?\nAnswer: -89136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -5 in decreasing order.\nAnswer: 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3211 is divided by 1069.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207 - -333. Suppose 6*o - 3*o + u - 326 = 0, 5*o + u = m. Find the third derivative of 23*d**2 + 90*d**6 - 2*d**2 - o*d**6 wrt d.\nAnswer: -2040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*x + i - 129, -2*i = -6. Suppose -2*l + 83 = -x. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4 - 6 + 10 - 5*u - 1. Let m(p) = p. Calculate m(h(v)).\nAnswer: -5*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + t = -3*t + 2, 0 = -3*g + 3*t + 9. Suppose -g = -w, r - 2*w = 2*r - 20. Let z = r + -10. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 8\/9, 19064, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11141017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 54*t - 428. Let l be b(8). What is the greatest common divisor of l and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 18. Let r = p + -4. Calculate the remainder when r is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1380703704 + -0.5?\nAnswer: -0.6380703704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b + 2. Let s(j) = -6*j - 5. Let i be 8\/(-22) + (-770)\/(-121). Determine i*s(p) + 13*c(p).\nAnswer: 3*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(7\/(-98)*-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + -373731?\nAnswer: -373717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 8*l - 15. Let y be f(-3). Suppose y = -6*t - t - 805. Let k = t + 212. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i + 2 = 2*s + 24*i, -5*s - 2*i = -26. Let h be (1\/12)\/((-2)\/(-8)). Which is the fourth smallest value? (a) -3\/4 (b) 0.4 (c) h (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbrw when four letters picked without replacement from aawwrraabsrrwk?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 bigger than -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10215 + 10176 + 0 + 36.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 74*p - 94. Let x be f(4). Let j = x - 187. Solve -j = -4*i + i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 49266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1027)\/(-143) + -7)\/(1586\/(-143))\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142970 is divided by 10834.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h + 28973. Let p(b) = -778*b**2. Give d(p(r)).\nAnswer: -4668*r**2 + 28973","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:18 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 4. Let p be v(6). Let u = -2 + p. Let r be (u - 5 - 1)*-1. Solve -2*l = -r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546.519 times -0.46?\nAnswer: -711.39874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/6953 - -4742002\/48671. Let r be 7*-14 + 2\/2. Let y = f + r. Calculate the common denominator of y and 39\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 10)*(-1 - -2). Let l = 7 - m. Suppose -4*n = n + 10. Sort n, l, 1 in ascending order.\nAnswer: l, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 772*b**2 - 2319*b**2 + 770*b**2 + 778*b**2. Let s = -2 - -4. Let y(u) = -2 + 2 + s*u. Calculate y(n(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a. Let w(g) = -2052*g**2. Give w(s(y)).\nAnswer: -2052*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + 41 + (-501 - -491)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -678 - -101?\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 48*u**3 - 2 - 18*u**3.\nAnswer: -66*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/9 and 32\/753.\nAnswer: 2259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456 = 21*k + 159*k - 5856 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (1 + 5 - -4). Suppose -3*f + v - 6 = p*v, f + 4*v = -9. What is the smallest value in 6, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/(-3) + 3\/9. Let o = -9 - u. Sort -5, o, -4 in ascending order.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.5. Let y = d - 0.23. Let b = y - 6.57. What is b rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14915027 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 1 + (-1237)\/100. Let f be (-1066)\/(-50) + (-594)\/54. Let y = s + f. Find the common denominator of y and 43\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 4*l**2 - l**2 + (3*l + l - 7*l)*(1 - 1 - l + (-2 + 2 - 2*l)*(-3 - 3 + 5) - 2*l - 1 + 1 + 0*l - 5*l + 3*l + 38*l - 34*l + 25*l).\nAnswer: -77*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gun when three letters picked without replacement from {u: 5, l: 10, g: 1, n: 1}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -31 (b) 0.4 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24654 divided by -55?\nAnswer: -24654\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z + 48 = -57*z. Let p = -8 - -5. What is the third smallest value in p, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 - 61. What is the remainder when q is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428447745.\nAnswer: 3, 5, 11, 31, 41, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 12:38 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1, 45, -2\/7, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 10. Let n be r(5). Let g = n - -61. Let o be (-2)\/(-8) + 154\/g. Solve -13 = o*u + 7*k - 3*k, -5*u = -k + 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 3, j: 2, h: 1}. What is prob of picking 1 o and 1 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59458)\/(-3472) + ((-4)\/(-32))\/(-2 - -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0178652108 to 4 dps.\nAnswer: -0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000211544 rounded to 7 decimal places?\nAnswer: 0.0000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2) + (3 - (-2 - -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -642 + 694. Is x at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(204)*2 - sqrt(204)) + sqrt(204) - sqrt(204)) + 6*(sqrt(204) - sqrt(204)*1))\/(sqrt(432)\/sqrt(144)).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 13. Let g be o(-11). What is the biggest value in -5, 1, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14*d**2 + 2*d - 1. Let t(u) = u**2. Let c(h) = 5*t(h) + x(h). Calculate the remainder when c(1) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:44 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - r + 2)*(-58 + 56 - 132) + 0*r + 2*r - 4*r + (2*r + 0*r - 4*r)*(4 - 3 + 0) - 3 - r + 3 + 1 - 1 - 15*r to the form f*r + i and give f.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -13*y**2 - 186*y + 1638. Give h(8).\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdrhdqdodqdqddrhoddo. Give prob of sequence ror.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 722 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(13) - (sqrt(91)*3)\/sqrt(7) - -3*(sqrt(1573) + (sqrt(1573) + -1)**2)*-3.\nAnswer: -14164 + 97*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 4*g**3 - 1348*g**2 - 5*g + 2973*g**2 - 1625*g**2.\nAnswer: -4*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 29*n**2 - 246*n + 166. What is c(8)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 3 - 7*b**2 - b**2 + 1. Let o(i) = i**3 - 13*i**2 - 5. Let w(p) = 5*a(p) - 2*o(p). Find g, given that w(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 0\/(-1 - 1). Suppose z - 6 = g*s, 3*z + 2*s + 2*s = 34. Let r be (z + -7)*(-10)\/(-6). Solve -3*a - a - 7 = r*h, 1 = -3*h - 4*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -392998\/8220817 - -22\/15901. Find the common denominator of i and 17\/282.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77969320 divided by 109048?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42566.1t to micrograms.\nAnswer: 42566100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 8:04 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 - 48*w + 4. Let u be v(-12). Let n be -3 - (-2 - (u - 0 - 1)). Which is smaller: -27 or n?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 22065950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - -3 - (-3 - -18). Suppose -3*u + 2*h + h = 36, 0 = -u + 3*h - 22. Let d = u - p. Solve -4*o = 2*n - 2, -3*o = -d*n + 3*n + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 3*d + 5. Let p(f) = 1. Let h(s) = -c(s) + 4*p(s). Let t(x) = -x**2 - 4*x + 1. What is 4*h(n) + 3*t(n)?\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126498, -252997, -379494, -505989?\nAnswer: -632482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 7:12 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + -3. Let a(q) be the third derivative of q**5\/60 + 11*q**4\/24 + 5*q**3\/2 + 3527*q**2. Calculate a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/6498 and -107\/684456?\nAnswer: 2053368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgvg when four letters picked without replacement from {y: 1, m: 1, v: 1, g: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/17, -217, 5, 53, 3, -8 in decreasing order.\nAnswer: 53, 5, 3, 0.5, 2\/17, -8, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 10*s + 8248. Let o = s - -3751. Suppose 0 = j + 3*a + 3997, a - 2*a = 3*j + o. Round j to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41 + 9 - 39)*(-2*m + 2*m - 2*m)*(2 - 6 + 3) to r*m + b and give r.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*u**2 + 1479*c**2*u - 2*c*u**2 - 38*c*u - 1004*u**2 - 1 wrt u.\nAnswer: 4*c**2 - 4*c - 2008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1554618 less than 169.07?\nAnswer: 1554787.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 - 518*u\/3 - 67081\/3.\nAnswer: -(u + 259)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16605*k**4 - 295*k**5 + 16605*k**4 + (-2*k**3 + 4*k**3 + 0*k**2 - k**2)*(-2*k**2 - 2*k**2 + 6*k**2).\nAnswer: -291*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -41 + 296 + -276?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, z: 3, h: 1, u: 1, t: 7, k: 3}. What is prob of picking 1 k, 1 z, and 1 q?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*((-2*j - 4*j + 4*j)*(-3*j + j + 4*j) - 3*j**2 - j**2 + 3*j**2) as y*j + b*j**2 + p and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t - 60. Let p = t + -20. Suppose 0 = -2*z + p, -60 = -5*i - 0*z - 5*z. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p + 139 = 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 270 + 176 = 4*m, m - 3*t = 116. Let q = -105 + m. Suppose y - 13 - 1 = -3*s, q*y = -s + 42. Let a(n) = n**3 - 9*n**2 + 11*n - 2. Calculate a(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*i - 3*i + 0*i)*(24*i**3 - 9*i**3 - 30*i**3) + 5*i**4 - 3*i**4 + 0*i**4)*(-1 - 3*i + 1).\nAnswer: 39*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -126, -152, -200, -276, -386?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33515 rounded to the nearest 100?\nAnswer: -33500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -234*q**2. Let d(w) be the first derivative of 2*w**3\/3 + 4978. Calculate d(o(s)).\nAnswer: 109512*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-650))\/((-20)\/(-100))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -22. Suppose 0 = -f - 56 - a. Round f to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2083.731 hours to minutes.\nAnswer: 125023.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-10\/11)\/(y*y**31) assuming y is positive.\nAnswer: y**(-362\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**(-2))*g*g)**36*g**(2\/3)\/g**(-1\/5)*(g**(-1))**(4\/5)\/(g*(g**4*g)\/g*g**8) assuming g is positive.\nAnswer: g**(2506\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 2 - 6 = 0. Is q less than 2\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5651806 is divided by 5651793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*y = 2633, g - 640 = 3*y - 110. Is 53 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.001 + 0.001. Let u = 59 - 58.5. Which is the closest to -1? (a) u (b) -1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20358136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 222104 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 11*i**2 - 8*i + 1. Calculate the remainder when a(-10) is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67380 or -134757\/2?\nAnswer: -134757\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 592 - -a?\nAnswer: 5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 20, 0*c + 24 = 2*o + 4*c. Let m = 10 - 5. Let w be m\/(-2)*8\/(-22). Is o < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 k, and 1 y when three letters picked without replacement from pkppyfpfwkfprkpff.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 10 = -4*l + 2*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2. Let k(r) = -98 + 5*r + 43 + 2*r + 43. Let i(x) = -k(x) - 4*w(x). Let h(j) = 15*j - 8. Determine -6*h(b) - 13*i(b).\nAnswer: b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 0)\/((-2)\/(-2)). Suppose -3 = -8*g + 3*g - 2*a, z*g - 3*a = -15. Which is smaller: -10\/11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000010111100100101111110 (base 2) to base 11\nAnswer: -99a7388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1883 - 217 = -105*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1252 - -1225122?\nAnswer: 1223430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-2)\/(-8)*-2). Suppose -k*v + 0*v + 2 = 0. Is 14 a factor of v\/(-1 + 0) + 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65, -64, -63?\n\"Answer: y - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 81?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -47, 16, 187, 508?\nAnswer: 1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = -9. Suppose i*j - 2*j - 40 = 0. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = 37*a - 858. Suppose 0 = 5*j - y - 328, -9*j - 4*y + 74 = -8*j. Calculate the remainder when j is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 220 = -5*j. Suppose 3*m - 8 - 6 = 4*a, 0 = -3*m + 2*a + j. Calculate the least common multiple of 22 and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186476 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**1)**41*((g*g**0)\/g*g*g)\/g*g*g**(-3)*(g*(g*g*g*g**(-1\/2)*g*g*g)\/g*g*g*((g**(-1)\/g)\/g)\/g)**(-17) assuming g is positive.\nAnswer: g**(-121\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1370.32 + 10.22.\nAnswer: 1380.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/(-1*sqrt(4)) + sqrt(56))\/(sqrt(64)\/(sqrt(8)*-2) - sqrt(8)) - (-1 + sqrt(28)\/sqrt(4))*-1*6.\nAnswer: -6 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809 a factor of 35536659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 34*o**3 - o**2 - o + 2. What is the smallest common multiple of a(1) and 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2690*p + 2690*p + 191*p**3 - 16*p**2 + 16*p**2 as w*p**2 + i + a*p + v*p**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.5 less than -2037815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19420 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o - 2. Let q(j) = 6*j - 2. Let h(f) = 6*q(f) - 4*u(f). Let r be h(4). Let w = r - 12. What is the remainder when 47 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148445144 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 376699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 0 + 0*t - 1\/24*t**4 - 2\/3*t**3 - 4*t**2. Let k be v(-4). Solve -2*j + 3*p = 1, -3*j + 3*p = -k*p - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/5))\/p)\/p**(-1) assuming p is positive.\nAnswer: p**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p. Suppose 4 = -0*m - m. Let o(x) = -x. Let l(j) = 16*j. Let k(c) = m*l(c) - 36*o(c). Determine n(k(q)).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 63*i**2 - 1306*i + 6539. Give t(5).\nAnswer: 1584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -471*x**2. Let c(j) = 28*j. Calculate h(c(b)).\nAnswer: -369264*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + (-3 - 7 - -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/t**8)\/(t**(-3)\/t**(-7\/2)) assuming t is positive.\nAnswer: t**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -33.\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -5, -19, -2663 in increasing order.\nAnswer: -2663, -19, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-3))\/((-4)\/(-18)))\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10207, 9500, 8815, 8158, 7535, 6952?\nAnswer: 6415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 1)*1 - (-1 + sqrt(7) + -1))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4 - -0.4. Let k be (-4)\/12 - (-22)\/48. What is the second biggest value in k, 5\/3, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 1336*z**7\/7 + 7*z**3\/3 + 308*z - 12002. Find the third derivative of v(a) wrt a.\nAnswer: 160320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25521*a**2 - 25514*a**2 + 51010*a**2.\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/143 and -47\/110.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Let h = 2 - 8. Let c = h + 5.6. What is the second smallest value in -5, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13500, -54200, -122100, -217200, -339500?\nAnswer: -489000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52098 and 21637122?\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/11 + 32\/33. Let x = -83\/42 + 9\/14. What is the nearest to y in -0.2, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbgbxedxobdoxobdxo. Give prob of picking 1 d and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14227 and 0.08.\nAnswer: -14226.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, -21120, 0, 2, 5, 1 in descending order.\nAnswer: 5, 2, 1, 0, -2, -8, -21120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 260.6 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(72) + 0 + sqrt(72) - (sqrt(2) + (sqrt(2) + 1*(sqrt(2) + -1) - sqrt(2)) - (sqrt(2) + sqrt(2)*-1 + -4))**2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 4262485433?\nAnswer: 4262485432.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*l - 20*l + 29 - 1340*l**3 + 1344*l**3 + 9 - l**2 as c*l + q + a*l**3 + h*l**2 and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 143 - 151 - (2 - 20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 449079 - 307318. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.26 - 2.26. Which is the closest to -70\/3? (a) x (b) 0.2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 960 divided by -6\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - h**3 - 4*h**2 - 1 - h - 4*h**3 + 2*h**3 in the form t*h**3 + d + l*h**2 + k*h and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - 1)*1)\/((-33)\/55)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(-166)\/(-415)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9079 + 9079 + 69*a**2)*(-1 + 0 - 1) + 4*a**2 + 0*a**2 - 3*a**2 in the form b*a + z*a**2 + f and give z.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3366 - 0.36.\nAnswer: -3366.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-7) - 3930645\/(-374724). Let n = 2\/1487 - d. Let j = 938\/9 + -97. What is the common denominator of n and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.092 - -1.092. Let g = 43 - 175\/4. Sort -2, g, d in ascending order.\nAnswer: -2, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/495934 and 83\/66618?\nAnswer: 4463406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -17, 6 in ascending order.\nAnswer: -17, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3801295*b**4*n - b**3*n - 6*b**3 + 2648167*b**2*n - 2*n - 5 wrt b?\nAnswer: -91231080*b*n - 6*n - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240582 times -2?\nAnswer: -481164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 125231 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-1))\/(110\/(-54) - -2). What is z rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*((-9)\/(-6) + -2). Let f be k*(-3)\/(-24)*2. Suppose f = -4*l - 78 + 262. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1215125 and 1125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2060315 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003517 rounded to seven decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 8*m + 10 = 3*a, 0 = -a + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7739.625mm in micrometers?\nAnswer: 7739625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-133)\/(-57)*(570\/(-70) + 9). Solve 2*k + 2*m + 94 - 98 = 0, 0 = w*k - m - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + s + 14, -z - 102561*s + 58 = -102570*s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*g**2*h + 49*g**2 + 2*g*h + 7*g + h wrt g?\nAnswer: -12*h + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 12312?\nAnswer: 12303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -781, -1355, -2147?\nAnswer: -3157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(1*1*(-11)\/22).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 12:07 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -32. Calculate the greatest common divisor of p and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.443933 centimeters to kilometers.\nAnswer: 0.00000443933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -372*w - 4766. Calculate s(-13).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84993631 to the power of 1\/2, to the nearest integer?\nAnswer: 9219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -49. Suppose 4*b + 11 = 43. Let q = 6 - b. Put q, v, -5 in descending order.\nAnswer: q, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -43*s**2 - 2. Let c(p) = 2*p + 66. Calculate t(c(d)).\nAnswer: -172*d**2 - 11352*d - 187310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5*s - 160 = 0, 0 = 4*j - 2*s + 173518 - 173396 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**5\/20 + 3*r**4\/4 - 4*r**3\/3 + r**2\/2 + 8*r. Let l be q(8). Let i = l - -8. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**0*v*v**(2\/3)*((v\/v**(1\/3))\/v)**(-33) assuming v is positive.\nAnswer: v**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*q + 99*q - 13965 = -51*q - 85*q for q.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1+-180200376\nAnswer: -180200377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 266*g + 2918. What is o(-11)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, a: 2, z: 2, f: 3, l: 4}. What is prob of picking 2 c?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9558\/5 or 1912?\nAnswer: 9558\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110 (base 5) in base 8?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 8*b**2 - 9*b + 3. Let y = -14 - -5. Let a be v(y). Suppose a*r = -2*r - 5*u + 15, 2*r = u - 9. Is -10\/7 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*1*(-7 + 8). Suppose -3*j - 2*j = -5*t - 25, -3*j = t - d. Let u(m) = 2*m - 9. Give u(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*f - 4*u - 430, f + 5*u - 147 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from {c: 1, q: 3, j: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1802782.\nAnswer: 2, 17, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(136) - 2*(sqrt(136) + sqrt(136)*3)) + sqrt(136) + sqrt(136)))\/((sqrt(8) - sqrt(24)\/(sqrt(3)*1 + sqrt(3))) + sqrt(16)\/(sqrt(2) + 1*sqrt(2))).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*d - 111, 2*d + 341 = 3*z + d. Suppose x = 4*x - z. Suppose -x = -2*k - 5*q, 2*k - 4*q - 1 - 1 = 0. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 37. Let q(t) = 149*t - 1061. Let y be q(7). Put -6, n, 4, y in increasing order.\nAnswer: y, -6, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let g(a) = 10*a. Calculate g(f(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 11:55 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 12:57 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - v**2 - v**2 - 5*v + 5*v + v**2 + (v**2 + v**2 + 0*v**2)*(-2 + 2 + 1) - 5*v**2 + 0*v**2 + 6*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 24*a - 8. Let h(t) = -8*t + 3. Let l(v) = -3*f(v) - 8*h(v). Let j(w) be the first derivative of 3*w**2 - 44. What is j(l(r))?\nAnswer: -48*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 - 2*q + 34 - 70.\nAnswer: -2*q - 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 155 - 153. Let z(j) = j**3 + 2*j + 4. Calculate z(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, u: 1, b: 2}. What is prob of sequence bbu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 2*c. Let a(s) = 9*s**2 - 33*s - 66. Let w(j) = 5*j**2 - 18*j - 36. Let t(i) = 6*a(i) - 11*w(i). Give -5*t(z) + v(z).\nAnswer: 3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 933 or 93037?\nAnswer: 93037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249895, -249571, -249235, -248881, -248503, -248095, -247651?\nAnswer: -247165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.3 (c) 49\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = 2*u + 265, 397 = -3*u + 5*k. Is -1*u\/((-5 + 7)*1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -552451798524 and -0.2.\nAnswer: -552451798524.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 6*w**2 - 74*w + 370. What is o(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 6*n - 3. Let f be z(-5). Suppose -2*j + 7 + 7 = -f*r, 4*r = -5*j + 35. What is the remainder when j is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-2\/25)*t*t**(-8)\/t*(t\/(t*t\/t**(-1)*t)*t)**3 assuming t is positive.\nAnswer: t**(-327\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-2 - (-19 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206276305931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 188 and -14075.\nAnswer: -13887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.114038l?\nAnswer: 114.038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 1. Determine v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -2*f**3\/3 - 475*f. Let b(l) = 66*l - 11. Let t(s) = 13*s - 2. Let j(x) = 2*b(x) - 11*t(x). What is g(j(n))?\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 11*t**7\/42 + t**5\/10 - 5*t**3\/3 - 5*t**2\/2 - 10*t - 3. What is the second derivative of b(l) wrt l?\nAnswer: 220*l**3 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070041853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/35 (b) 5 (c) -4\/3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/56*(-2 + (-14)\/(-6)). Let f = t - 1\/7. Let g = -685\/7 + 98. Which is the third biggest value? (a) g (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t + 1. Let z(o) = -6 - 31 - 7 + 48 - 27*o. Calculate 9*y(l) - 2*z(l).\nAnswer: -9*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 872173273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17752161 (base 8) to base 9.\nAnswer: 7775177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 103 divided by 115\nAnswer: 103\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eonqk. Give prob of sequence ek.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1224 - -1315. Calculate the greatest common divisor of 3913 and o.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-15*(-32 + 33) + (12 - (-3)\/(-3))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, q: 6}. Give prob of sequence qkq.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 19 = -3*h, 214*h = 57*h + 4*p + 777 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j. Let v(m) = -429*m - 241433 + 241433. What is f(v(n))?\nAnswer: -858*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - 8. Let x be f\/4 + 6\/24. What are the prime factors of 4*-1*43\/x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 11:36 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010011000 - -1110111111011100?\nAnswer: 1111010001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -38*v + 4. Let w(r) = -35*r + 4. Give 4*l(h) - 5*w(h).\nAnswer: 23*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s**2 + 11*s - 11. Let j(r) = -2*r**2 + 3*r - 3. Let i be (-840)\/(-135) - 4\/18. Determine i*c(k) - 22*j(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2798469?\nAnswer: 3, 34549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 2*v**2 - 513*v - 279. What is t(-23)?\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*3.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 13*y**5\/60 + 218*y**2. Let s(w) be the second derivative of -w**3\/6 - 2*w. Determine s(x(n)).\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**4 + 5*t - 4551*t**2 - 3 + 4551*t**2 to u*t**4 + f + j*t**2 + c*t + m*t**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1601 + 17779 = 3616*r - 38476 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1867*y**2 - 5*y + 1848*y**2 + 1845*y**2 + 39 - 5594*y**2 in the form v*y**2 + h*y + g and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 392834 - 148647. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, q: 4, i: 1, f: 3, u: 1}. What is prob of sequence iz?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkk. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 6 + (-14 - 1) + 2 + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 1.69?\nAnswer: -0.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 45068e?\nAnswer: 450689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/10 and (10\/(-456))\/(1 - (-632)\/(-392)).\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 948*c = 945*c + 75. Calculate the remainder when 192 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 60*x + 11. Let d(b) = b - 2. Calculate -5*d(t) - w(t).\nAnswer: -65*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -47898289260044+-0.1\nAnswer: -47898289260044.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**2 - 2*t**2 + 4*t**2 + (-3*t + t + 4*t)*(-2*t + 0*t + 0*t) + 3*t**2 - 15*t + 15*t)*(-62 + 62 + 60*t**2).\nAnswer: -360*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + 2)*(-12)\/(-60). Let z = 0.24 - 0.34. Which is smaller: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51996 divided by 8666\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*(sqrt(220)\/sqrt(45) + 1) + -1)*5)**2.\nAnswer: 6400*sqrt(11) + 314000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 6*d - 2 + 0*d + 3. Let v(m) = 1. What is -4*g(f) + 3*v(f)?\nAnswer: 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525773523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-45)*45\/18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-119)\/(-3) - (-2)\/6 is divided by ((-44)\/33)\/(2\/(-21))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -175 - -174.8. Which is the closest to 0.1? (a) 4 (b) 40 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 + -332. Let i = -199 - f. What is the nearest to 16 in 0, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 30*d**2 - 32*d - 89. Determine g(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 12228.\nAnswer: 11\/12228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45858\/978304*8\/(-2).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145042 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2483*n - 7249. Give s(-3).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3931291 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 4*g - 3 + 5 - 2.\nAnswer: 4*g + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.31 + -20. Let u = k + -0.3. Let f = u + 0.112. What is f rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 1, j: 2, n: 2, k: 1, x: 1}. What is prob of sequence xjrj?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.44 + 72.56. Suppose 3*q + 34 = 19. Which is the second smallest value? (a) -1 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**8\/84 - k**4\/8 - 33*k**2. Find the second derivative of l(c) wrt c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-3) + 38 - -3. What is a rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 6*h. Let t be k(6). Let w(a) = -2*a + 13. Let r be w(5). Suppose -g + t*g - r*m = -268, 5*m = -2*g + 531. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10748*p = -10163*p - 11700 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-919485)\/294)\/417*((-1)\/50)\/1.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**3\/5 + 116074*g**2 - 2*g\/5 - 116074 = 0.\nAnswer: -290185, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**23\/s)\/s)**(-1\/10)*(s**(2\/5)\/s)\/(s\/s**0) assuming s is positive.\nAnswer: s**(-37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141729659 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -2.364 and -1.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -2132311?\nAnswer: -2132303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2 - 4*d + 5*d + d + 3*d. Let p(r) = -r**3 + 6*r**2 - 3*r - 6. Let s be p(5). Is 11 a factor of y(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 693020 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*w - 69790 = -1466*w - 1153*w for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - k + 7. Let p be (-4)\/20 - 2\/(-10). Let g be w(p). Solve -8 - 3 = 2*o - 3*l, 2*o + l + g = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 6*v**2 + v - 6. Suppose -c = -3*g + 1 - 16, 0 = 2*c - 5*g - 27. Let s be i(c). Solve -q + 3*u - 2*u = s, 5*u = 2*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000956619008 rounded to 6 decimal places?\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34632 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Suppose -2*n = 2*x + 166, 3*n - 4*n + 5*x - 95 = 0. Let r = 1784\/21 + n. Which is bigger: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(36\/(-6))*2\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1627682183 to the nearest integer?\nAnswer: 40345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 183, 188, 195, 204, 215, 228?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2465)\/(-153) - (-2 - -2 - 8\/(-72))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c - 25 = 0, -3*c = 3*s - 30. Suppose -s*d - 121594969 - 94405031 = 0. What is d rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 32 + 3)*(-2*r**4 + 3*r**4 + 0*r**4 + (r**3 + 2*r**3 - 2*r**3)*(0 + 3*r + 0)) to q*r**3 + k*r**2 + s*r + x*r**4 + w and give x.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 5*w + 584, 5*f - 735 = -w - 26. What are the prime factors of f?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 338272471 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 0*x**4 + 1\/2*x**3 + 0 + 0*x**2 - 1\/60*x**6 + 0*x**5 + 3*x. Let n(j) be the second derivative of v(j). What is n(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/5 + 9 + (-375)\/(-165)*(-208)\/(-80)\nAnswer: -56\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6215344 (b) -2\/435 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204093 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -4*j + 12, -5*j - 18 = -7*j - 5*c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-2))\/(-218))\/(((-21547)\/2972)\/(29\/(-2))).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-9288)*-43*-105?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 471942 and 2359710.\nAnswer: 2359710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5708451564 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1360 + 412 = 4*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(2)) + sqrt(2) - (sqrt(8)\/sqrt(4) + 2))**2.\nAnswer: -8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + l**2 + l - 1. Let y be j(2). Let n be ((-3)\/y - 1)\/(-1). What is the units digit of (-31)\/(-1) + n + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -1101?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3 - 188732097*f**2\/4 - 371039664949947*f\/2 - 556559391263121\/4 = 0. Calculate f.\nAnswer: -7863837, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4*a = -8*a + 8, 3*t - 4*a = 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**2 - 11*p - 2. Let m(f) = 20*f**2 + 23*f + 5. What is -6*m(s) - 13*n(s)?\nAnswer: -3*s**2 + 5*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 8507 - 4250 - 4257 + 2*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023580064 rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbbs when four letters picked without replacement from sbistdbddvb?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 16413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10196 + 10153 = -k - 5*x, -44 = -2*k + 4*x for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13102, 13088, 13074, 13060, 13046?\nAnswer: 13032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -4 (c) 1\/3 (d) 1818648\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 614 and 250466.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + c - 1. Let m(n) = -8*n**3 - 2*n**2 - n + 6. Determine 6*i(j) + m(j).\nAnswer: -2*j**3 - 2*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(i - 2*i - i)*((-i + i + 2*i)*(0*i - i - i) + 2*i**2 - i**2 + 4*i**2 + (3*i + 2*i - 7*i)*(0*i - 2*i + 0*i)).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2793.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 15*m**2 - 24*m - 15. Does 23 divide u(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.916101129 take away 2?\nAnswer: -1.083898871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -626845.726 minus -0.29?\nAnswer: -626845.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36950 - 36949.72501. Let c = 0.174975 - y. Let r = c - -0.1. What is r rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.4 - 6. What is the third biggest value in -0.1, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 7*g + 6*g**2 - 4 - 16*g + 2*g.\nAnswer: 6*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*-3*(sqrt(1573) + 1))**2 + -5*(sqrt(260)\/sqrt(5) + (sqrt(13) - (sqrt(156)*-2)\/sqrt(12) - sqrt(13))**2).\nAnswer: 122*sqrt(13) + 56369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776*x - 35 = 769*x. Suppose -x*b + 14 = r - 0*r, 5*b - 20 = 5*r. Let u(o) = -9*o**3 - 9*o. Let a(j) = 4*j**3 + 4*j. Calculate b*u(y) + 7*a(y).\nAnswer: y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 423 and 329.\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -27. Suppose l - 6*l = -d. Differentiate 0 - l*w**3 - 4 + 1 wrt w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -386 + 388. Let p(z) be the first derivative of -2 + 3*z**u + 0*z**3 + 0*z - 3\/5*z**5 + 0*z**4. Find the second derivative of p(f) wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {a: 1, e: 14, x: 1, k: 1, n: 1, o: 1}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2040 (b) 2\/75 (c) 1\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24055 is divided by 115.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 284 + -294 - (382 - 0). Which is smaller: f or -5082\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*r - 31 = -n, -4*n = r + 73. Let m = 13 - n. Suppose 3*g - m = -3*g. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40722 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 - 2. Suppose 0 = 4*k + 16, 3*k + 3 + 15 = 2*a. Suppose -i - a*i = -72. Calculate the smallest common multiple of t(-2) and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -55*k - 1. Let u(y) = -110*y - 3. Calculate 5*h(p) - 2*u(p).\nAnswer: -55*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*l - 70*l + 2142 = 0. Let w be ((-9)\/6)\/((-3)\/8). Calculate the highest common divisor of w and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/1*(-3)\/144*3.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1182 = 3*d, 6*d - d + 1943 = -4*s. What is the second smallest value in 2\/3, 2\/9, 4, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61642 divided by -7\nAnswer: 8806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.16, 0.5, -3, -56 in decreasing order.\nAnswer: 0.5, -0.16, -3, -10, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + 13 - (-31 - -23).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 15, 0*z + 5*u - 418 = z. Let y = -186 - z. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 13*c**2 + 59*c + 10. Determine t(5).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 + (6 - 4) + (-11 - -42)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2113002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -8 + -2 + (-3 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**2 - 1\/60*g**5 + 0*g + 0 - 1\/4*g**4 + 1\/3*g**3. Let m(v) = 10*v**2 + 760*v - 5. Let s be m(-76). Calculate z(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 + 52*s**2 - 2193*s + 44404. Calculate b(22).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 24. What is the remainder when n is divided by 10\/25 - (-84)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 7 - (0 + -3). Let p be x*(-4)\/2 - -2. Solve p*c + c - k + 11 = 0, k = -4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - i**2 + 3. Let x(y) = 5*y**2 + y. Let c be x(-1). Let u(v) = -2*v + 11. Let h be u(c). Let q(b) = b**3 + b**2 - 2. Calculate h*q(p) + 2*d(p).\nAnswer: p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 + 157. Suppose 5*b = d + 3, 0*d - 3*d - g = 5*b. Let p = 19 + d. What is the greatest common divisor of p and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b - 5*j + 307203, -19103 = 4*b + 5*j - 223900. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h = -3*q - 31*h + 18, -16 = -2*q + 6*h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(0*o - 4*o + 3*o) + 14 - 14 + 25*o - 3*o - o + 5*o + (2 + 3 - 3)*(-5*o - 5*o + 2*o) as p + n*o and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 45 = -6*y. Let j = 9 - y. Suppose j*p = -4*x + 11 - 3, 3*p - 5*x = 56. Calculate the greatest common divisor of 60 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35511062, 71022126, 106533188, 142044248, 177555306, 213066362, 248577416?\nAnswer: 284088468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5 + 21*n**4 - 36*n**3 = 0 for n.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/966 and -163\/9384.\nAnswer: 65688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2. Let s(a) = -78*a**2 - 699 + 699. Determine s(l(m)).\nAnswer: -312*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -403.02 - -74351077.\nAnswer: 74350673.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40\/33 + 6\/11. Is m equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 503, -1, -5 in decreasing order.\nAnswer: 503, 14, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -42*b**3 - 1631*b**2 + 274*b + 4. Calculate a(-39).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*c + 372, -r + 106 = c + 2*r. 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: Let u be (-2)\/(2 - 0) + 4 + -2. Let q be -3 + (u - 6\/1)*-1. Solve -4*m - q = h - m, 2*m = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6828, 15073, 23318?\n\"Answer: 8245*v - 1417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21980642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 38 + 27 + -75.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 6. Let a be v(7). Let k be -1 + 5 + -1 + a. Put 5, -1, k in descending order.\nAnswer: 5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99412625 by 467.\nAnswer: 212875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:49 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -234283*k**5 - 23*k**2 - 2*k + 8265.\nAnswer: -14056980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r**3 + r**2 - r + 2. Let m be n(-2). Let y = m + -26. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 32*h**2 + 2*h + 1. Is f(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 + (-4)\/(-6)*-3 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 691. Let w = 1110 - p. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snsv when four letters picked without replacement from {s: 4, v: 10, n: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from ellepptetgppgegrleeg?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*w**2 + 39 + 36 - 30*w - 27*w - 2*w**2 - 116*w**3 - 72 wrt w?\nAnswer: -696*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 7:32 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7747423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4 - -4)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -25*y + 38. Determine t(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (120\/(-75))\/((-2)\/(-185))*(1 + -19) and 9.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-1\/5)\/(s**(-1\/4)\/s**6) assuming s is positive.\nAnswer: s**(121\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.529 + 0.329. Let y = -28.83 - j. Round y to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - h - 2*h**2 - 53 + h.\nAnswer: -2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) -0.6 (b) 4 (c) 3 (d) -7\/4 (e) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*a + 3*a + 65 = 0, 4*a = -20. Suppose 2*n - 7*n = t. Which is smaller: n or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.2 - 0.7. Let t = d - 7.4. Which is the closest to -3\/4? (a) 3 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 308178090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -37325.\nAnswer: -1\/37325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liaiasefaeffssai. Give prob of sequence fl.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214 - 207.95. Let a = -26.95 - -26. Let s = h - a. What is the third biggest value in 0, 2\/5, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 2, 4, -272, 19?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 minus 337235.1?\nAnswer: -337249.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwbjbwjjjwwww. Give prob of picking 2 w and 1 j.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -46?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**3\/5 - 599142*w**2\/5 - 5991792*w\/5 + 14380128\/5 = 0.\nAnswer: -12, 2, 199724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -4)\/((-1)\/1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012372 rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*c**3 + 367*c**3 + 79*c**3 + 1147*c**3.\nAnswer: 1420*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 112 and -4694.\nAnswer: -525728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 4*r + 0*r**2 + 5\/6*r**3 + 0 + 1\/20*r**5 + 1\/2*r**4. Let x = -1 - 4. Determine q(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 809 + -225. What are the prime factors of c?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 183*i + 916. Let g be x(-4). Calculate the highest common divisor of g and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/756 and -41\/13734.\nAnswer: 82404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 9*b - 23. Determine w(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -107?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 134604778770 to the nearest 1000000.\nAnswer: 134605000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34337 = -61*r + 34459 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27\/847 - 22525\/759759. Is d at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21ea (base 15) to base 9.\nAnswer: -10774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 1. Let w(n) = n + 1. Let d(a) = -2*j(a) + 3*w(a). Let f(o) = 0*o - o - o - 7. Let b = -768 - -767. Determine b*f(m) - 5*d(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-2\/7)*h**(-2\/7)\/h)**(12\/7)\/(h\/(h\/(h**1\/h))*h**(2\/7)*(h\/h**(1\/4))\/(h*h\/h**5)) assuming h is positive.\nAnswer: h**(-647\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:07 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 - 2156 = -7*r. Let d = 527 - r. Calculate the remainder when d is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 116\/87 - (336\/(-18) - -2). Solve 3*g = -3*c - h, g + 9*c - 7*c + 11 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -0.03 (b) 1 (c) -3\/2 (d) -337 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/11)\/f*(f\/f**11)\/f)\/(f**7)**2 assuming f is positive.\nAnswer: f**(-280\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37151\/8 - -4651. Calculate the common denominator of -35\/11 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -16*c**3 - 10*c**2 - 10*c - 16. Let j(r) = -5*r**3 - 5 - r - 4*r**2 + r**2 - 2*r. Let x(d) = -3*b(d) + 10*j(d). What is the derivative of x(u) wrt u?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 202 and 22018?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n - 46. Determine d(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 361*g**2 + 57*g + 9\/4 = 0.\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3647760 divided by 729552\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1085135*f. Let m(n) = 2*n. What is m(s(o))?\nAnswer: 2170270*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**4\/12 - 5*j**3\/2 + 37*j**2. Determine r(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*j + 2 = 0, -4*v + 8*j + 5 = 3*j. Suppose v = c - 5*c + 204. What is the third derivative of -15*p**5 + c - 51 - 23*p**2 wrt p?\nAnswer: -900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.6 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5360 is divided by 412.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/22 - (-156)\/99*-31)*2208\/(-1472).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 2.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3117, 6220, 9323, 12426?\nAnswer: 15529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*i**3 - 82503*i**2 - 20625*i.\nAnswer: -3*i*(i + 6875)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -7*t. Suppose 9*l - 18 = -t*l. Solve -2*n + 5*g + 8 = 0, 6*n + 2 = l*n + g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1078775373*s**6 + 2*s**2 - 99*s + 1399913 wrt s.\nAnswer: 129453044760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/20*(-33*3\/(-198))\/(3\/(-72))?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*s - 147759 = -143169 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8 - (-692)\/2896. Let d = n - -368\/543. Suppose 0 = -0*l + 4*l - l. Which is smaller: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2140*d + 9. Is c(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 97, 279, 3, -132 in decreasing order.\nAnswer: 279, 97, 4, 3, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2819 or -2816?\nAnswer: -2816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 586548123 to the nearest integer?\nAnswer: 24219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 38*z**3\/9 + 188*z**2\/9 + 142*z\/9 - 8\/9 = 0. What is z?\nAnswer: -4, -1, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 = 4*u + 2*v, 0 = 5*u + 13*v - 8*v - 355. Calculate the greatest common factor of u and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 4. Let z be c(-8). Suppose -l - z*a = 2*l - 12, -3 = l - a. Suppose g - 2*i = 2, l*g = -g - 3*i - 3. Put -3, 3, g in descending order.\nAnswer: 3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4 + 12*d**3 + 30*d**2 + 28*d + 9 = 0. What is d?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 324 + -324.1285. Let v = 0.0785 + s. Let r = -2\/79 - 144\/553. Which is the smallest value? (a) 1 (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 217*f + 855. Let j be y(-4). Which is the biggest value? (a) -23\/2 (b) j (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 - 4*f**3 - f**5 + (5*f - 4*f - 3*f)*(3*f**4 - 4*f**4 + 2*f**4) - f**5 - 2*f**5 + 5*f**5 + (3*f**4 + 2*f**4 - 3*f**4)*(-2*f - 2*f + 6*f).\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + r - 10. Let y be v(0). Let p = -7 - y. Suppose -p*a = -a - 4, k = 4*a + 64. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2843.\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5*z = -30, 967*v - 10 = 972*v - 5*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18228 and 973679?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 195324, 195322, 195320, 195318?\n\"Answer: -2*r + 195326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.773262543 to two decimal places.\nAnswer: -2.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = i, 2 = 3*i - 4*f - 2. Suppose i*l + 15 = 47. Let w be l\/(-42)*3\/2. Which is the biggest value? (a) -3 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 19*v - 5*v = -4*v + 196 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 s when three letters picked without replacement from {k: 1, z: 1, e: 1, u: 2, d: 1, s: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3088, 6172, 9254, 12334, 15412, 18488?\n\"Answer: -a**2 + 3087*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -53*r**5\/5 - 32*r**2 - 280*r. What is the first derivative of q(g) wrt g?\nAnswer: -636*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1875 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, 586, 1745, 3368?\nAnswer: 5455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*z - 14. Suppose -z*f + 8 = 2. Solve 3*l + 4*d - 4 = -0*l, f*d = 4*l + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (55\/(-20))\/((-2)\/48) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 756129 and 85668?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20856 is divided by 374.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, 87\/19, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 417994234 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 0 + (2 - 2) + (-1 - -16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 105 and 0.05292509.\nAnswer: 5.55713445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 9*i**2 - 12*i + 5. Let q = 48 - 59. Is a(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5*m + 7 = -2*m, -r = 4*m - 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (16353 - 2) + 1*4. Suppose -20*j + f = -8*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8724.0000061612 - 8724. What is x rounded to seven decimal places?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-23)\/n)*n**(2\/19)*n**6\/n*n*n**(-6\/11)*n assuming n is positive.\nAnswer: n**(6596\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 111.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -11. Suppose 0 = -3*v + q - 2 + 1, 2*v - 5 = -n*q. Let a be (2 + 38\/(-18))*2. Which is bigger: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 14*u**2 + 19*u + 60. Let w be d(-15). Solve 0 = k + 2*l - 10, 4*k + 2*l = -w*l + 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*y - 4. Solve y*a + 2*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 553, 1469, 2459, 3523, 4661, 5873?\nAnswer: 7159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q = 2. Suppose 0 = -q*y + 2. Solve 5*a + y + 1 = 2*z, 2*a + 5*z - 5 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 4, x: 1, k: 1, a: 1}. Give prob of sequence ae.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/9)\/z)\/(((z*((z\/((z**20*z)\/z))\/z)\/z*z)\/z)\/z)*z\/(z\/(z*z*z**(-5)*z))*z**(-1\/7) assuming z is positive.\nAnswer: z**(1160\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 6*f**2 - 6*f + 1. Give d(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 77\/28*(-264)\/(-484)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1012045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38\/5? (a) -2 (b) 1.3 (c) -0.04 (d) -3\/7 (e) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -19509906350.703.\nAnswer: -19509906349.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 106, 161, 218, 277, 338?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*r + 0 + 32*r**2 + 3*r + 0 + 0 as d + g*r**2 + a*r and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.02465936 + -0.1\nAnswer: -0.12465936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -246396446 = -246396448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16325676.\nAnswer: 2, 3, 23, 19717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and -8*((-2)\/8)\/(1\/6)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-7 - -5 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.2, -10, 0, -2\/273?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o**3 + 2*o**2 - 2*o + 2. Suppose -58*i + 62*i - 4 = 0. Let r be q(i). Is 12 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 5:14 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -1)\/(12\/(-11) + 1). Let p(c) = -12*c - 10*c + 30*c + 1 - u*c. Let b(m) = 4*m - 1. Calculate -4*b(z) - 5*p(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 0.1012\nAnswer: -0.3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -5. Let k be (1 - 2)\/(18\/(-6)). Let q be 3\/(6\/8) + 444\/(-114). What is the closest to 0.1 in h, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 26*g**2 + 52*g - 47. Determine v(-28).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 523554 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/3 - 1080*o + 6488\/3 = 0. Calculate o.\nAnswer: -1622, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40665688 to the power of 1\/2, to the nearest integer?\nAnswer: 6377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) - sqrt(9)\/sqrt(3))*-6 + -4 + sqrt(3) + ((1 + sqrt(3))*-4)**2 + 1 + -3*sqrt(3).\nAnswer: 30*sqrt(3) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15281 - 2?\nAnswer: -15283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2027, -13839, -45913, -108383, -211383, -365047, -579509, -864903?\nAnswer: -1231363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -5*s - 67, 0 = 3*t + 486 - 483 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 10242.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g = 20. Suppose g*a = -a + 15. Suppose 0 = 9*b - a*b - 738. Is b a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 407*a**4 + 4*a**3 + a**2 - 70*a + 4. Let n(y) = y**4 + y**3 + 1. Let g(i) = -l(i) + 4*n(i). Find the third derivative of g(p) wrt p.\nAnswer: -9672*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 18*h + 6. Let p = -14 + 19. Let o be d(p). Suppose -9*l + 12*l = o. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/12)*i**28\/i)\/(i*i*i\/(i\/(i\/(i*i\/(i*i\/i**(-30)*i*i))))*i*(((i\/(i*i**(4\/7)*i*i))\/i*i*i)\/i*i)\/i*i))**(4\/25) assuming i is positive.\nAnswer: i**(-631\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*f - 72. Let b = f - 9. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 65*x + 63*x = 0, 5*l + 5*x = 75 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*x + 202, -x - 66 = m + 140. Round m to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1785315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -1 (c) 3\/4 (d) -16 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2. Let r(c) = 1. Let k(n) = 9*n - 1 - 5*n - 13. Let y be 34\/10 + 8\/(-20). Let q(b) = y*k(b) + 42*r(b). Determine f(q(j)).\nAnswer: 288*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1078, 3356, 6810, 11446, 17270, 24288, 32506, 41930?\nAnswer: 52566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88390866 to the power of 1\/3, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 482636 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 12:23 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 5*q**2 + 8*q - 5. Let v(f) = 2*f**2 + 4*f - 2. Suppose 74 = -47*g - 161. Determine g*v(s) + 2*c(s).\nAnswer: -2*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 14 + 11 = 0. Let c = 9 - z. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 5*s - 15. What is q(7)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.801336 millilitres in litres?\nAnswer: 0.005801336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 709 - 73?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/5)\/((v\/(v**(-1\/7)\/v))\/v)*(v\/(((v\/v**(-3\/7))\/v*v)\/v))**(1\/30) assuming v is positive.\nAnswer: v**(-76\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 31*k + 12. Let n(w) = w**3 + 2*w**2 - 2*w - 1. Let r be n(-2). What is the tens digit of v(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucu when three letters picked without replacement from cuccjcju.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3811.78, 12\/5, 0.3, -1\/4, 3?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.324 * 4.\nAnswer: -1.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 7 = -2*y. Solve -2*l + 0 = y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-18)*81\/108)\/(4\/(-78))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 56?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 22\/13, 0.6?\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-13)*g\/g**(6\/11) assuming g is positive.\nAnswer: g**(-127\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -3*o - 9. Let p be (-3 + 1)\/(-11 - -13). Let k(z) = z - 1. What is p*q(b) + 3*k(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 7*c**5\/20 - c**4\/2 + c**3 + 4*c**2 + 14*c. Let h(d) = -5*d - 2*d + 2*d - 7 + 5*d**2 - 6*d**3. What is 6*h(l) + 5*k(l)?\nAnswer: -l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2*p, 5*p - 5*x = -17 - 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39977 is divided by 57.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1551540495 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -62*l**2 + 78*l + 10. Let v(g) = 12*g**2 - g - 1. Calculate r(y) + 5*v(y).\nAnswer: -2*y**2 + 73*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5056 + -5053. Solve 14*z + 6 = 9*z + v, -5*z - r*v - 22 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 20, 6 + 6 = 2*s + 3*i. Suppose s*p + 625 = 5*p. Calculate the remainder when p is divided by ((-35)\/(-14))\/(10\/8) + 19.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5153*w**3*z**2 - w**3 - w**2*z**2 - 1322*w*z - z**2 wrt w.\nAnswer: 30918*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5694*h**2 - 215*h**2 + 2802*h**2 + 5415*h**2 - 3168*h**2 as t*h**2 + o*h + u and give t.\nAnswer: 10528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 30 + 10*z)*(4 - 6 - 3)*(-2 + 7 - 2)*(-3 + 3 + 1)*(4 - 3 + 1).\nAnswer: -300*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9532 and 109732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p, 0 = -5*f + 2*f - 5*p + 36. Let g(m) = 549*m + 11598. Calculate the remainder when g(-21) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -817 + 810.14. Let f = -0.14 + s. Let l = f + 11. Which is the smallest value? (a) -1\/5 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 11 = -2*i, 5*i = 5*v + 45 - 10. Calculate the highest common divisor of 16 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -156.2259 - -0.1259. Let j = g - -156. Let r = 5 + -4.4. Which is the closest to -2\/3? (a) j (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-78)*(-11)\/11.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 6*f**2 + 7*f - 2. Let x be k(6). Calculate the highest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 9*z**3 - 12*z**2 + 9*z + 6. Let v(r) = -r**2 - r - 1. Suppose -3*g = -6*g. Let j be g*3\/(-9) - 1. Let t(f) = j*y(f) - 4*v(f). What is q in t(q) = 0?\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -7. Suppose 7*g - 12 = f*g + 3*v, -4*g - 3*v + 2 = 0. Solve -4*o - 5 = -3*y + 13, -g*o - 12 = -3*y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 405287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -88843, -177681, -266519?\n\"Answer: -88838*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 - 99*t + 2277. Give a(25).\nAnswer: 2302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*b = -53 - 3, -2*b = 3*i - 37. Let q(c) = -4*c**2 + 22*c - 46. Let z be q(20). What is the units digit of (2\/(-4))\/(i\/z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 122, 23 in descending order.\nAnswer: 122, 23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -155, -149, -133, -101, -47, 35?\n\"Answer: y**3 - y**2 + 2*y - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -19 - (-3 + 13)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10.6502 and 0.026205927?\nAnswer: 10.676405927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 12*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 + 7*g**4 - 5*g**4 + (-62 - 180 + 79)*(-2 + 4 - 1)*(5*g**4 - g**4 - 2*g**4) in the form j*g**2 + h + d*g + r*g**3 + c*g**4 and give c.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4032) + (sqrt(4032) + -1)**2 + sqrt(21)\/sqrt(432) - (sqrt(21)\/(-6*sqrt(3)*1) - (((sqrt(7) + 1)*-6)**2 + 1)).\nAnswer: 193*sqrt(7)\/4 + 4322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/17)\/z)\/z**(3\/8))\/(z**(-3\/2))**(-10\/9) assuming z is positive.\nAnswer: z**(-1145\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-12)\/920))\/(30\/(-2520)*-210).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 15*b**3 + 7*b**2 - 17*b. Give h(2).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 397421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (-3 + 3 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2679 equal to -2679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 314.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24141.09 millimeters in micrometers?\nAnswer: 24141090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*m**3 + 2 + 118*m**3 - 6*m + m + 2*m**4 - 2*m**2 - 239*m**3 in the form w*m**3 + z + x*m**4 + q*m + b*m**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244334543 (base 6) to base 10.\nAnswer: 4693887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -4)\/((-2)\/8). Suppose 3*y = -f + 35, y + g*y - 61 = f. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239 - 553 = -37*c - 51*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 4*x + 2*i + 4, 2*x - 4*i = -10. Solve -j = -3*w + x, -2*w + 6 = -0*w - 2*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 17. Let s be -1 - (18 - 6\/3). Let w = s - -40. What is the remainder when u is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6524516, 13049020, 19573522, 26098028, 32622544?\n\"Answer: b**3 - 7*b**2 + 6524518*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(242)*2 + 1 + sqrt(242) + sqrt(242)*2*-4).\nAnswer: -6 + 330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*130\/30 - -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cddtvvvddvddvddv. Give prob of picking 4 d.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {j: 5, u: 3, h: 5, e: 3, k: 2}.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1896479 is divided by 92?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 2344*y + 4758*y - 2324*y + (4*y - 7*y + 4*y - 1)*(3 - 1 - 3) in the form j*y + m and give j.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (10\/18)\/((-50)\/720*-12)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107\/603 - -3\/67. Let r = -6853 + 61681\/9. Let 2\/9*g**2 - r - s*g = 0. What is g?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**3 - 347*m**2 - 48*m - 562. Let q be w(58). Let x be (-4 + 1)*(1 - 4). Calculate the highest common factor of x and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = c + 18, -4*c - 2*r = -15 - 3. Let g(l) = l + l + c*l - 3. Let x(w) = -7*w + 5. Let p = 42 + -39. Calculate p*x(u) + 5*g(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20063979 - -6?\nAnswer: -20063973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 = -75*p + 8. Is p < -0.94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/45020 and -93\/70.\nAnswer: 315140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833279 is divided by 930.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30876 in -2, 2\/5, -2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18327 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269867 is divided by 66.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8861.65076 - 255.75.\nAnswer: -9117.40076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23132099\/2424807 + 10\/115467. Let f = 82\/9 + g. Let j = -432\/5 - -86. Which is the closest to 0.1? (a) -1 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34221 is divided by 124.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 15*t**2 - 7*t - 21. Let c(z) = -12*z + 12 + 17*z - 10*z**2 + 2. Let n(a) = -7*c(a) - 5*r(a). Differentiate n(b) with respect to b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 264295425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37820 divided by -2.\nAnswer: 18910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*i**2 - i**2 + 3*i**2)*(-5*i**2 + 3*i**2 - i**2) + i**4 + 0*i**4 + i**4)*(84 - 117 - 108).\nAnswer: -1128*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 5*s**4\/12 - s**2\/2 + 34*s - 22. Let t(u) be the first derivative of x(u). Find the first derivative of t(p) wrt p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) - ((-2*sqrt(187) - sqrt(187))*-2 + sqrt(187)) - sqrt(187)))\/sqrt(11).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 290217965 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 divided by 154.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5643 is divided by 155.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - 2*x**4 - 3*x**4)*(3 + 3 - 4).\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -3*o - 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 + 37 + 25*p**3)*(-1 + 2 + 1)*(-2 + 2 - p) + (-2*p + 3*p - 3*p)*(2*p**3 - p**3 - 3*p**3) in the form b + a*p**3 + w*p + o*p**4 + z*p**2 and give o.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**6\/30 - 617*p**5\/20 + 2531*p**3\/2 - 7786*p. Find the second derivative of w(d) wrt d.\nAnswer: 12*d**2 - 3702*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxdl when four letters picked without replacement from {l: 6, x: 4, e: 2, d: 1}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/72212 and -69\/2852374?\nAnswer: 5704748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062963365 rounded to five decimal places?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2631 + 958*r**2 - 956*r**2 + 2*r + 446 as y + f*r**2 + b*r and give y.\nAnswer: -2185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5))**(-23) assuming x is positive.\nAnswer: x**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -13. Suppose -k - 3*b - 8 = -n, -5*b - 25 = -k. Suppose k*t - 372 = t. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8617 - 8615. Let g(u) be the first derivative of -3\/2*u**4 + 0*u - 13\/2*u**o + 1 + 0*u**3. What is the second derivative of g(h) wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 4*j**2 + 3*j + 3. Let i be q(4). Solve i = -6*r + 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(176) + sqrt(176) + (1*sqrt(176) - sqrt(176) - sqrt(176)))**2 - (-3 + sqrt(11) + 0)**2.\nAnswer: 7*sqrt(11) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 5 + 1)*(-20*w - w - 6*w).\nAnswer: 135*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.69357 minutes to milliseconds.\nAnswer: 1901614.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 4:42 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -10, t + 4*j + 20 - 4 = 0. Find l, given that 2\/5*l**3 + 2\/5*l**t - 2\/5*l + 0 - 2\/5*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/89209710 and 169\/360?\nAnswer: 356838840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + h - 2*h + (2 + 1 - 1)*(-3*h + 4*h + h + 0*h + 3*h - h + (0 + 0 + 2*h)*(4 - 4 + 4))*(-5 + 1 + 2) to the form u + r*h and give r.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from gdgegggggdgggg?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(11)*2 - sqrt(11))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 5 (b) -52 (c) -26 (d) -4\/3 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) - (sqrt(11) + (sqrt(11) - 1*sqrt(11))*-5 + sqrt(11))**2)*5.\nAnswer: -660 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Let g = 4 + t. Solve -a = -g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (4\/2 - (4 + -4)). List the prime factors of (41\/h)\/(-3 + (-38)\/(-12)).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 1183 - 73 = 0. Solve -2*i + 187 = k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -2665819.\nAnswer: -2665820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 - -5213890?\nAnswer: 5213870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11, 33, 69, 119, 183, 261, 353?\n\"Answer: 7*y**2 + y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*n = 16 + 22, 3*n = -f + 4. Let w be 2\/f + 19\/7. Let k(o) = o + 20. Let b be k(-16). Solve 4*t + 8 = -2*y + w*t, b*t = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -349 - -351. Suppose -6024 = v*f - 10*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = h. Suppose 2 = 2*n - n. Solve -n*v = h - 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*-4*(sqrt(1300) + (0 + sqrt(1300))**2).\nAnswer: 40*sqrt(13) + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 1. Let z = -5 + 0. Let x be 2\/(-8)*12\/(-3). Let j(t) = 4*t - 7*t - 3*t + 1 + t**2 + 3. Calculate x*j(y) + z*m(y).\nAnswer: y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*i + 8 = 0, 1523*t - 1527*t = 4*i - 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -24*u**2. Let p(x) = 4*x**2 + 334. What is p(i(b))?\nAnswer: 2304*b**4 + 334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-200)*5*-65*(-3)\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 3741.53\nAnswer: 14966.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(30)\/(sqrt(30)\/sqrt(5)) - sqrt(5))) + -5 + -3)**2 - ((sqrt(2000) + 0 - sqrt(2000)) + (sqrt(100)\/(sqrt(5) + sqrt(20) - sqrt(5)))**2).\nAnswer: -16*sqrt(5) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158375544, -158375543, -158375542, -158375541, -158375540?\nAnswer: -158375539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557\/(-3114)*((-122)\/84 + (-8)\/(-28))?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 109761 (b) -2 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 + -4. Suppose 4*n = 7*n - m. Solve 5*t = 8 - n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(sqrt(432) + (sqrt(432) + -1 - sqrt(432))) + -3 + 3 + -3 + -5*(sqrt(432) + 5 + sqrt(432) - sqrt(432) - sqrt(432)))**2.\nAnswer: -9120*sqrt(3) + 44644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2042709287.\nAnswer: 73, 103, 107, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwfjwkrwwkjwrjkfwk. What is prob of sequence jr?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453685459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987102 is divided by 101.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i = -37*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 9, 3, -4, -1584 in descending order.\nAnswer: 9, 3, 2, 1, -4, -1584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 20*u**3\/3 + 28*u**2 + 47*u. Differentiate l(x) wrt x.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 69983, 69164, 68341, 67514, 66683, 65848?\n\"Answer: -2*u**2 - 813*u + 70798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213914, 855636, 1925158, 3422468, 5347554?\nAnswer: 7700404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*n + 534*n + 5*o = 57, 5*n + 25 = 5*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -162 + 78. Let q be z\/5*40\/12. What is the tens digit of 3\/(-2)*q\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 9476252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55.24 + -57. Which is smaller: l or 12\/29?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -741*b - 8148. Let d be s(-11). Solve -r + 3*r - 6 = 2*t, d*t + 3*r = -27 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 11:23 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -4\/5 (c) -962\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 8*g**2 + 4*g - 10. Let q be n(7). Let u = 44 + q. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175545 + 9783 = 2269*m - 2999 for m.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16377327*v**3 - 9318623 wrt v.\nAnswer: 49131981*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*f + 4*f - 123*f to the form g + k*f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pip when three letters picked without replacement from ippipiipiiipippi?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0161216 rounded to 4 decimal places?\nAnswer: -0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000633335 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 18581756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*r**3 + 7*r**5 + 4*r**3 + 13*r + 14*r**3 wrt r?\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from napzxpxnopn. What is prob of sequence xoa?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1957703 is divided by 1081.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -23. Solve 3*c - 3 = -u*j - 3*j, -j = -c + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 + 463852*x - 463852*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = 0, -5*l - w - 16 = -2*w. Let o be (-1 - 7 - 2)\/2*1. Let x be (15\/o)\/l - 971. Round x to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-27)\/(-30)*(-45)\/(-54).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 310 = a + 301, -4*b + 7*a - 40*a - 192 = -13 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/12*6*(-1)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o + 8. Let v be q(4). Let s be ((-60)\/v)\/(((-4)\/82)\/(-2)). Calculate the highest common divisor of s and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/2 and 22\/1319.\nAnswer: 2638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 207696, 207696, 207694, 207690, 207684?\n\"Answer: -c**2 + 3*c + 207694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1\/5, 27.\nAnswer: -2, -1\/5, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1692*f + 55 = 1697*f - 5 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 9:07 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/((-108)\/45)*4\/5*1. Put -71, 8, u in decreasing order.\nAnswer: 8, u, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 7*g - 9*g. Let s be (-43 - 18\/9)*18\/(-10). Calculate the highest common factor of g and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 53, 1, 5 in descending order.\nAnswer: 53, 7, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 11 = -a, -a + 3 = 4*d - 11. Suppose 5*j + 40 = 4*f - 3*f, 0 = -4*f + d*j + 75. Calculate the highest common factor of f and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k**3 - k**2 - k + 1. Let d be x(-2). Let n = d - -21. Suppose 3*c - n = -0*c. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/800)\/(((-270)\/12)\/(-15))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**6)\/h**(-1\/2))\/((h**(-2\/7)\/h)\/h*(h\/(h**(1\/6)\/h)*h)\/h) assuming h is positive.\nAnswer: h**(167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 16)\/(518 - 519)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 8\/9, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 2) + -12 + 67. Put -0.1, 5, v, -0.3 in ascending order.\nAnswer: -0.3, -0.1, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 11:42 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -289*k - 4396. Give f(-15).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163241 - -295241. What is k rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*k + 1 + 42*k + 127*k - k + 0 + 0 + (-k + 3*k - 4*k)*(-2 + 4 + 0) + 2*k - k + k.\nAnswer: 112*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**5 - 300*c**4 - 8930*c**3 - 38820*c**2 - 44352*c = 0.\nAnswer: -21, -3, -2, 0, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/148 <= 2\/117335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*18\/120)\/((-8)\/(-40)*-2).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 35*d + 56. Let s be h(-29). Suppose 0 = 2*w - o - s, -3*w + 9*o + 1107 = 12*o. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.82 + 0.18. Let p = -7 + t. Let n = -4 + p. Which is the second smallest value? (a) -0.4 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6681880 is divided by 3040?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 500485\/154 - 3250. Let a = n - 1\/22. Suppose -12 = q + 3*q - 2*m, -16 = 5*q - 3*m. What is the smallest value in a, -1\/6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 612*p**2 + 4*p - 3. Is t(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4480 + 9793. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 615 = -5*x, v = 6*x - x + 105. Suppose -47*g = -53*g + v. Suppose 5*c - 38 = 12. What is the smallest common multiple of g and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j + 66. List the prime factors of z(-26).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-65) - (-10)\/(-286)*3. What is the nearest to -0.2 in 2, v, -164\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17129 - -17177. Solve -114*h + q = -130*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78190889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2287 - 323*g + 1157 + 1130.\nAnswer: -323*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10979 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005554247 rounded to 6 dps?\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 49345848 divided by -7317\nAnswer: -6744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(208)*1)**2*5.\nAnswer: -3120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 1 (c) 182\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58197352 divided by -14549338?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 12*m - 128. Let w = 24 + 2. Suppose -5*r + w = -24. Calculate the smallest common multiple of r and z(12).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 22*o + 19. Let n be r(19). Let b = n + -73. What is the first derivative of -23 + 41*c**3 - 3*c**3 - 10*c**b wrt c?\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000111101 (base 2) to base 11.\nAnswer: -313a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 g when four letters picked without replacement from {x: 3, s: 10, i: 2, u: 2, g: 2, d: 1}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 16*d + 12*d)*(5*d - 5*d - d**3).\nAnswer: -28*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*q - 33*q - 17*q - 28*q - 40*q**2 - 22*q.\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 30187.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 353094.3 and -5.8.\nAnswer: 353088.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 1. Let k(j) = j - 2. Determine 3*k(d) + 5*q(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -2. Let m = -1 + s. Suppose 0*j = -j - 2. Sort 2, m, j.\nAnswer: j, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 5\/2, -0.2, 49?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 4, -151, -0.3, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13896.02 - -5748.781. Let g = n + -19636. Let z = -8.7 + g. Round z to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 6*x**2 - x. Let k be 6 + (0 - (-1)\/(-1)). Calculate the lowest common multiple of d(k) and 0\/(-2) - (-9 + 1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 7:15 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = 4*h, 0*h - 4*z + 16 = -h. Let t be 0 - -1 - 3538\/4290. Let v = -6\/143 + t. Which is bigger: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74813151 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 8:58 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/8 and ((-138)\/1932)\/((-32)\/42)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -27*f - 2. Let i(c) = 6*c. Let b = 352 + -349. Let p(m) = 5*m. Let y(g) = b*i(g) - 4*p(g). Give j(y(q)).\nAnswer: 54*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = 3*g + 120. Suppose -g*m - 6*m = -42. Suppose -5*w + 1 = -19. Solve 0 = z - w*y - 2 - 3, 4*y = -z - m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1026342 (base 12) to base 5\nAnswer: 1234211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v + 2. Let w(s) = -2*s + 13*s + s + 15*s. Give d(w(g)).\nAnswer: 135*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(77\/770).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12138, -12137, -12134, -12129, -12122, -12113?\n\"Answer: v**2 - 2*v - 12137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 - 574*h**2 + 403*h - 40488. Determine t(191).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m + 6*m + 13*m - m**2 + 3*m.\nAnswer: -m*(m - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22406931 less than 1943.97?\nAnswer: -22404987.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61605.09846 + 466?\nAnswer: 62071.09846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:17 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1691178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(-4\/29)\/(((u*u**4*u)\/u)\/u)**(-10\/11))**(-15\/4) assuming u is positive.\nAnswer: u**(-150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7.144165 hours?\nAnswer: 25718.994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 800 by -723.\nAnswer: -800\/723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -5*i + 50, -i + 11635 = -3*m + 11613 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**3 + 114*m - 2414?\nAnswer: -6*m**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + ((-11)\/35 + (-2)\/7)*7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1589832?\nAnswer: 2, 3, 71, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-13*(-4)\/260)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*s + 30*s + 0*s as a + u*s and give u.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f - 32 = 4*p, p = -3. Let m(q) = -5*q**2 + q + 3. Let v(i) = 6*i**2 - 2*i - 4. What is f*m(u) + 3*v(u)?\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 246122604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**2 + 3*c + 3. Let u(t) = 35*t**2 - 20*t - 20. Let n(g) = 3*u(g) + 20*x(g). Let s(w) = -17*w**2. Determine s(n(i)).\nAnswer: -425*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 5*u**3\/3 + 6. Let y(k) = 7*k - 12. Let s(z) = 16*z - 26. Let v(c) = 6*s(c) - 13*y(c). What is w(v(g))?\nAnswer: 125*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81027.\nAnswer: 3, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.8 + -3. Let h = 7.74 + 0.26. Which is smaller: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 478.626um?\nAnswer: 0.000000478626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**3\/6 + 3*a**2\/2 - 3*a. Let y be l(4). Sort 2, y, -4 in ascending order.\nAnswer: -4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - b. Let v(r) = -3*r**3 - r**2 - 81*r. Calculate v(m) - z(m).\nAnswer: -3*m**3 - 80*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**2*y**3 - 1017*p**2*y**2 + 393*p**2*y - 48074*p*y**3 + 122*p*y wrt p?\nAnswer: -2*y**3 - 2034*y**2 + 786*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2803 is divided by 281.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 4*d**2 + 3*d**2. Let b(r) = 2*r**2 + 6. Suppose -7*l - 30 = -l. Let g(s) = 2*s**2 + 5. Let o(k) = l*b(k) + 6*g(k). Give y(o(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-55)\/(-66))\/5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*j + 50 = 0, -5*j + 37 = -m + 2 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**3\/6 + f**2\/2 - 53*f - 2. Let p(n) = -4*n + 4. Give -2*p(c) + 6*y(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.99 + -0.01. Let h = -9 - u. Which is the closest to 0.4? (a) -4 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -999\/2 + 499. Let x = 0 + 0.2. Let v = -0.8 - x. What is the closest to v in q, -3, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*d = 3, 2*w - 2*d = 6 + 8. Let o = -23 - -39. Suppose -o = -3*s + s. Calculate the lowest common multiple of w and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**3 - 5*t**2 - 5*t. Let g(b) = 7*b**2 + 62*b - 5. Let c be g(-9). Let x(d) = -4*d**3 + 4*d**2 + 4*d. Give c*q(o) + 5*x(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -0.8. Suppose 4*n - 569*f + 568*f = -6, -3*f = -n - 7. Which is the biggest value? (a) n (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a factor of 3989415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u**3 + 15*u**2 - u + 11. Let t(r) = -r**3 + 2*r**2 + 1. Determine 2*i(l) - 22*t(l).\nAnswer: 4*l**3 - 14*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + h = 1033, -180*h + 184*h = -4*y + 1396. Which is smaller: 42 or y?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, h: 7, v: 2}. Give prob of sequence vih.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 3. Let h = -9 - r. Which is the nearest to h? (a) -0.1 (b) 0 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-178)\/(-356)*(-36)\/(-819).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 825 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 - -0.053.\nAnswer: -20.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1110101 (base 2) to base 12\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 87, 98, 109?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -326, -343, -360?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72026098*m**2*s**3 - 71*m*s**3 - 311*m*s**2 + 125*m*s wrt m.\nAnswer: 144052196*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5322, 10594, 15748, 20718, 25438?\n\"Answer: -11*s**3 + 7*s**2 + 5328*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 7*i**2 + 15*i - 11. Let a be m(8). What is the highest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-20) + (-25)\/(-4). Suppose 5*h - y - 47 - 80 = 0, -3*y - s = 0. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18017370 divided by 630?\nAnswer: -28599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10450)\/152)\/55)\/(2\/(72\/(-345))).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 19056868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1120210210021 (base 3) to base 11\nAnswer: 526042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5 = -20. Suppose -p = -y - y - 13, 0 = -2*p - z*y + 5. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 48*k**2 + k - 189. List the prime factors of l(-45).\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 7*u - 9. Let o(d) = -3*d - 13. Let v be o(-8). What is the units digit of y(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -566 by -5.\nAnswer: 566\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 6:41 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p - 27 = 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194984 is divided by 1165.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122101021 (base 3) to base 7.\nAnswer: 51640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 10*y**2 + 21*y + 2. Let f be g(-12). Let j(v) = -112*v - 6 + 39*v + 1 + f*v + 38*v. Determine j(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7200*j + 486228*j**2 - 6480 - 2*j**4 - 3*j**4 - 488588*j**2 - 200*j**3 = 0. What is j?\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kww when three letters picked without replacement from wkkwkkkkwkkkkkk.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 + 2*b**5 + 2*b**5 + (0*b + 0*b - 2*b**4)*(7*b + 18*b - 5*b).\nAnswer: -39*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 162\/31 + -4331\/372. What is the common denominator of b and -97\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_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 k be (3\/(-2))\/(18\/48) + 16. Suppose -k*h = -h - 1606. What are the prime factors of h?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*y - 8. Which is the third smallest value? (a) y (b) -2\/9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5964\/10437)\/(22\/(-28) - 2\/4). Put -1\/4, r, 0.1357 in ascending order.\nAnswer: r, -1\/4, 0.1357","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y\/((((y*y**(-2\/3))\/y)\/y)\/y)*y*y**(-3))**(3\/20)*y**(2\/13)*y*y\/(y\/y**(1\/9)*y)*(y**(1\/2))**32 assuming y is positive.\nAnswer: y**(19849\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17826133 to the nearest integer?\nAnswer: 4222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.032346111 to 4 dps.\nAnswer: 0.0323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6412 - 141003\/22. What is the common denominator of -105\/22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2093.06879 to the nearest ten.\nAnswer: -2090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 7:28 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1500) - sqrt(15))\/sqrt(3).\nAnswer: -31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 258*s + 6668. Calculate a(-26).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 407*l**2 + 18359*l + 4375. What is x(448)?\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 1) + 1 + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 - -0.29. Suppose f = 2*f - 3. Let x = -266 - -265. Sort f, x, n in descending order.\nAnswer: f, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409460?\nAnswer: 2, 5, 59, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8325, -16649, -24973, -33297?\nAnswer: -41621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = 16*b - 18. What are the prime factors of (-4 - 48\/b)\/(4\/1686)?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653 equal to 30132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/114 or -6?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -231db (base 14) in base 5?\nAnswer: -10213303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79275198?\nAnswer: 2, 3, 13212533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*t - 10*t + 46*t + 18*t**3 + 1 - 63*t to p + x*t + i*t**2 + o*t**3 and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 77 + -3 + 1 + 4 - (17 + -60 + 29)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78594429 and 18?\nAnswer: 471566574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z + 20*z - 32*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 209053259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 89812 and 89232 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5017639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -361\/42 + 59\/7. Suppose 0 = -2*d - 2*d + 16. What is the smallest value in -2\/3, d, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - f + 44 = 0. Suppose -4*c + 4666 = 5*v + 446, f*v - c = 3355. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 218 + 185034.86.\nAnswer: 185252.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anauhghn. Give prob of picking 2 a and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 745 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.02874*4\nAnswer: -0.11496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (3\/(-1) + 0). Let f be l\/4 + 183\/(-12). Let c = f - -57. Calculate the remainder when c is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 71123 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1830621434 to the nearest integer?\nAnswer: 42786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 3*x - 288 + 18, y - 70 = -3*x. Suppose -y*v + 90*v = 10. Solve 0 = 5*z - 4*a + 28, 0 = z - v*a - 4 + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2148 and 6568047?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:41 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525136 is divided by 90.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 6*i - 64. Let a(c) = -c**2 + 3*c + 40. Let r be a(i). Which is smaller: r or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 655 and 8?\nAnswer: 5240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 3, 0 in decreasing order.\nAnswer: 3, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*r + 3*v, 4*r + v = 6*v - 9. Suppose 0 = -3*q + 2*q + r, -b = -4*q - 47. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539680 is divided by 179893.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*(0 + 1 - 2 + (-2 + 4 + 1)*(1 + 0 - 2))*(-253 - 36*l - 78*l + 252).\nAnswer: 1368*l + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Let d = -7 + 10. Calculate the remainder when 1 + (10 - d) + -2 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 6672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3 and 35\/492?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -9\/5. Let s = 3 - 4. Which is the nearest to s? (a) 2\/7 (b) z (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (35 + (21 - 46)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 27\/4 of a microsecond?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*r + 26. Let z be (-6)\/8 - r\/(-8). Let c = 14 - z. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from {f: 2, n: 3, m: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 6*g - 3. Let i be z(-4). Find the second derivative of 7*t**i - 2*t - 2*t**5 - t**5 wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101000001 + -1001111101?\nAnswer: 1001011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (11 - 6) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 20*w - 13. Let d be g(-21). Suppose -3*o + 4 = -2*o. Suppose -d*s + o*s = 48000. What is s rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -26*y - 275. Let p be j(-11). Suppose 10*i - p*i + 8 = 0. Suppose 3*w - 2 = 7. Calculate the smallest common multiple of i and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9*w**(-15))\/(w**(1\/3)\/(w\/(w**(-14)\/w))) assuming w is positive.\nAnswer: w**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {n: 1, r: 1, c: 1, h: 5, l: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51384 divided by -4.\nAnswer: 12846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 29 = 5*u + 5*l, 3*l = 12. Suppose -69 = -u*z - 3*h, -z + 5*h + 93 = 2*z. Let p = z - 23. Sort 4, 6, -2, p.\nAnswer: -2, p, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1692271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*s**3 - 22065*s**2 - 14706*s.\nAnswer: -3*s*(s + 2451)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**2 - 4*z**2 + 14*z**2 + 35*z**2. Let x(m) = -8*m**2. Give x(v(y)).\nAnswer: -11552*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35205 + 12449 - 6859 = 675*d - 3080 for d.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5\/15 + 6512*g**4\/15 - 5208904*g**3\/15 - 149410016*g**2\/15 - 430125184*g\/5 - 1035326976\/5 = 0. Calculate g.\nAnswer: -12, -4, 1642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3 + 39102*s**2 + 10059932*s + 19963440 = 0.\nAnswer: -252, -2, 19805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/273 and 31\/60049080?\nAnswer: 60049080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 - -58. Let t be 2 + x\/12*1. Is t <= 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j + 8 = 0. Let m = -11 + j. Is (28\/6)\/((-2)\/m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -391*q - 258*q**3 + 1935*q - 485 - 3*q**5 + 486 wrt q.\nAnswer: -60*q**3 - 1548*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 1. What is the units digit of o(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77*l*o*z - 23*l*z**3 - o*z**3 - 2491*o*z wrt l.\nAnswer: -77*o*z - 23*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -i + 31, 72 = 4*i - b + 6*b. Calculate the remainder when i is divided by ((-2)\/(-5))\/((-264)\/(-5280)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**5\/60 - 19*a**4\/24 - 7*a**3\/6 - 7*a**2. Suppose 2*f + 2*f = -64. Is 4 a factor of j(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/13 + 80\/(-13). Suppose -4*u - 8 = -2*c - 2*c, 14 = 3*u + c. List the prime factors of (2\/u)\/(k\/(-90)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 14*q**2 - 13*q - 46. Let w be s(-4). Put 3, 5, 2, w in increasing order.\nAnswer: 2, 3, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277498 (base 10) to base 6.\nAnswer: 5540414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7968765029.\nAnswer: 29, 1051, 261451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven halves of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -81*l**2 - 2017*l - 2007. What is n(-1)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffufuffu. Give prob of picking 2 u and 2 f.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 18 = 107. Let s = r + 30. Let k(b) = -b - 4*b + 10*b**2 + s*b. Let p(v) = v. Give k(p(l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/8)\/b*b\/((b**(-4\/5)\/b)\/b)*b*(b\/(b**(2\/17)\/b))**26 assuming b is positive.\nAnswer: b**(35949\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 287616877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 4, -144, -1, -21.\nAnswer: -144, -21, -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**4\/18 - 37*s**3\/9 - 12*s**2 + 182*s. Factor q(t).\nAnswer: -2*(t + 1)*(t + 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35415*q**3 - 2*q**2 + 1089*q - 193126316?\nAnswer: -106245*q**2 - 4*q + 1089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - 1 - (6 - 2 - (82 - 86))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118367512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -871 + 4*z + 871. Let x(a) = -8*a. What is x(f(u))?\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1)*((-25)\/(-10))\/5*1. Which is the second smallest value? (a) q (b) 3 (c) -2\/9 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5)\/k)\/(k**7\/k))\/(k**(-8)\/k)**(-6\/11) assuming k is positive.\nAnswer: k**(-186\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + 4423. Let q be 2 + 3 - ((-1 - -4) + 2). Is r(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 9*w - 5. Let i be t(8). Let h be ((-3)\/(-1))\/(i\/(-4)). Let a = -47 + 46. What is the closest to a in -3, 2\/5, h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 - 7.13. Let x = -7.00048 - k. What is x rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*99.\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 976, 1956, 2936?\nAnswer: 3916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 37*d + 12. Let l be t(18). Let g be (-8)\/l*165\/22. Suppose -c + g - 4 = 0. Let a(i) = 4*i - 4. Determine a(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.0551 (b) 23 (c) -0.3 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*w**3\/4 - 129*w**2\/4 + 483*w\/4 - 147\/4.\nAnswer: 3*(w - 7)**2*(3*w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -13*q**2 - 5*q + 6. Let o(a) = 13*a**2 + 2*a - 1. Let b(f) = -40*f**2 - 5*f + 1. Let w(y) = 2*b(y) + 7*o(y). Let n(r) = 5*k(r) + 6*w(r). Give n(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i - 6, 4*g = -3*i - 39. Let h be -1*(-99)\/6*-2. Let p = g - h. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46953, -48810, -51897, -56208, -61737?\nAnswer: -68478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*p = 3*y + 7, 1 = -2*y - 5*p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*f**3 + 3*f**2 - 2844*f + 244*f**3 - f**2 + 2842*f in the form q*f**3 + o + b*f**2 + z*f and give q.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 16*k - 18*k. Let h(t) = -14*t - 10*t + 22*t + 2 + t**k. Determine h(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u - 29*u + 18*u + 34*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 16 = 16*y - 5, 100*q - 105*q - 5*y - 35 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*f + 0)*((f**2 - f**2 - 2*f**2)*(1 - 2 + 2) - 5 + 3*f**2 + 5 - 2*f).\nAnswer: 2*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 15*m**2 + 15*m + 19. Let p be d(-14). Let a(v) = -v. Give a(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*h - 1558 - 2127, 0 = -o - 4*h + 749. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 0, b + 201 = 2*n + 51. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 24*g + 1. Let l(a) = 140063*a + 5885. Let r(m) = l(m) - 5885*z(m). Let h(f) = 2*f. Determine r(h(x)).\nAnswer: -2354*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 + 1. Let n be (-4*4\/16)\/(1\/(-4)). Suppose -5*o + n = -2*s, -s - 4*s + 4*o = 10. Determine q(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 2*l - 21. Let q be u(6). Factor 2 - 37*a - 5*a**4 - 182 + 50*a**q - 65*a**2 - 263*a.\nAnswer: -5*(a - 6)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 50103*c + 49830. Calculate r(-1).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - v = 31, v - 8 = 3*d - 4*d. Is 1*3 + 8918\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 56*y - 55*y - 8, 4*y = 4*u - 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-144)\/(-21) + (-2)\/(-14). Suppose 15 = -2*g + z*g. Factor r**g + 3 + 2*r**2 - 3.\nAnswer: r**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*33*(-5)\/(-525)*7)\/((-1)\/(-2))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2843 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 15*j + 5. Let f be t(15). Solve -4*y = -c - 0*y - 18, -5*y = f*c - 35 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -354 and 25619.\nAnswer: -9069126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 55205, 110410, 165615, 220820, 276025?\n\"Answer: 55205*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(539)*-2*4 + 4 + -1*(sqrt(539) + (-1 + sqrt(539) - sqrt(539))) + 2 + -2)**2.\nAnswer: -1890*sqrt(11) + 131052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 at most as big as -0.101783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12434 rounded to the nearest 100?\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117039.2ml to litres.\nAnswer: 117.0392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 495 and 594?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/9, -2, -3, 446 in increasing order.\nAnswer: -3, -2, 2\/9, 2, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 7 = -5. Find the common denominator of (4\/(-6))\/(c\/75) and 219\/15 + -9 + 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330164808041 + 3.\nAnswer: 330164808044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 - 2*u + 1. Let p(l) = -17*l**2 + 8*l - 4. Let j(w) = -26*n(w) - 6*p(w). Find a, given that j(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-16)*g*g*(g*g*((g*g*g\/((g\/g**(11\/5))\/g)*g)\/g*g)\/g*g)\/g)**(-4\/31) assuming g is positive.\nAnswer: g**(136\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345 - 111 = 39*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 9, 5*u - 2*p - 5 + 1 = 0. Suppose l - 1 = -u*q + 80, -l = q - 40. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -n - 5*j + 87, 142 = 2*n + 2*j. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -58727, -58734, -58745, -58760, -58779, -58802?\n\"Answer: -2*r**2 - r - 58724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 3*d + 3. Let h be r(2). Suppose 4*o + 4*s - 12 = -o, o = -h*s - 6. Solve -4 = 2*b + o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**4\/4 + 41*i. Let y(q) = 16*q**2. Give o(y(g)).\nAnswer: -768*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 l when three letters picked without replacement from jqqjqqqqlqqlqq.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 + 214\/4. Let b(c) = -c**3 - 4*c**2 - 4*c - 10. Let t be b(-4). Suppose -9*i + d = -t*i. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759540753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 4. Suppose 4*v + 14 = -h, -v - 16 = q*h + 4*v. Suppose 6*u - h = 4*u. Which is the closest to u? (a) 0.2 (b) 0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 213 + -191. Let p be -21 + q + (-10)\/(-3). Suppose 5*x = 4*y - 20, -5*y + 0*x + 25 = 4*x. Is y not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/3*-18*(-100)\/600.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d. Let a(y) = y + 7. Let p be a(0). Suppose p*l = 2*l. Solve -u + l*u = d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 1734 = 17*a. Suppose 3*s = 2*w - 1146, 0*s - 3*s = 3*w - a. Suppose 12*r - 6*r = w. Calculate the remainder when r is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v + 2*v - 6*v - 5*v**2. Let l(c) = -3*c. Give l(q(w)).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016842761 to five dps.\nAnswer: 0.01684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-122)\/16*-4. Let y = j - 57. Let i = -24.1 + 24. Which is the nearest to 1? (a) 3\/5 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1041 + 1035. Sort 1, -2, 22, i in decreasing order.\nAnswer: 22, 1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ffrffirfipfiipqrifpf?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9759 is divided by 4861.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -200, 2, 111, 5, -2 in descending order.\nAnswer: 111, 5, 2, -2, -4, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-4)*o**(-4\/7)\/o*o)**(-2\/125)\/((o**(-2\/3)*o*o)**(3\/20)\/(o*o**(-1)\/o)**38) assuming o is positive.\nAnswer: o**(-33487\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*p + 241*p - 91784 = 0. What is the least common multiple of 596 and p?\nAnswer: 4172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2677\/70 - 267\/7. Let q = 0 + 0. Put 1, 2\/3, x, q in descending order.\nAnswer: 1, 2\/3, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 1. Let o be y(1). Is 12\/199 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*l - 1082 - 1116 + 2271)*(-4*l + l + 5*l) to the form w*l**2 + k + z*l and give z.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgx when three letters picked without replacement from {n: 1, x: 1, p: 1, g: 1, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91665, 183324, 274983, 366642, 458301, 549960?\nAnswer: 641619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 20) + -4 + 5 + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 3*l + 4, l - 2 = 16*i - 17*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 364324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3226586500?\nAnswer: 2, 5, 6453173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754288219.\nAnswer: 754288219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 2. Suppose 43 = -3*v + 4*u - 90, 5*v = -u - 191. Let l(i) = 6*i - 13. Give v*y(k) - 6*l(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.702 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*d - 1602152 = 0, 485293 = 3*g - 2*d - 1917935. Suppose -5*x = -g - 25398924. What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -13\/16 (b) 0.4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**20)\/k**28*(k*(k\/((k*(k*k*k*k**(-3)*k)\/k*k)\/k))\/k*k)\/(k**(-24)*k*k) assuming k is positive.\nAnswer: k**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 - 6*j**2 - 6*j + 1. Let g(b) = -2*b**3 - 5*b**2 - 5*b + 1. Determine -6*g(p) + 5*n(p).\nAnswer: 2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -52, -13, 30, 41, -16?\n\"Answer: -6*j**3 + 38*j**2 - 33*j - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 735 + -737. What is the smallest value in 0.49, 3\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53 - 24 - 39 + t**3 + 25*t**3 wrt t.\nAnswer: 78*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 - 3*d**3 + 7*d**3 + (2*d + 0 + 0)*(-2*d**2 - 4*d**2 + 4*d**2) + (2*d**2 - 5*d**2 + 4*d**2)*(-d - 4 + 4).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.39.\nAnswer: 0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, d: 2, m: 1}. Give prob of sequence hdm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 123, 249, 377, 507, 639?\n\"Answer: b**2 + 123*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9089262 and 819.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39466\/(-35) - ((-4)\/(-10) + 0). Let h = d - -1813. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*j = -22 + 6, 0 = 2*l + 2*j - 18. Suppose -2*r - 50 = -2*g, 0 = l*g - 0*g + 5*r - 64. What is the remainder when g is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. Is (p - -23) + (5 - 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14))**(-11)*(w**2*w)\/w**(-1\/9) assuming w is positive.\nAnswer: w**(1414\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.316791 days in hours?\nAnswer: 175.602984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-3 - (-33)\/9). Find the first derivative of 3*t - 7*t + q*t + 1 wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - 10411243334?\nAnswer: -10411243405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.11389.\nAnswer: 0.45556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -442 - -450. Suppose -4*m = z, -24*j = -20*j - m - 1214. What are the prime factors of j?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47945, 49176, 50407, 51638?\n\"Answer: 1231*p + 46714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 934, 954, 974, 994, 1014?\nAnswer: 1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 1 + 0 - 5*w**3 - w**3 + 3*w**3 - w**3 + 0 - 2*w**3 + 0 + (3*w + 2*w**3 - 3*w)*(2 + 0 + 0) - 1 + 1 + 2*w**3 - w**3 + 2 - 2 + 3 - w**3 - 3.\nAnswer: -2*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -2 (c) -0.4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2646, 2645, 2644, 2643, 2642?\nAnswer: 2641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -16216566?\nAnswer: -16216563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o**2 - o - 2. Let h be c(0). Let f be (-5)\/h*2\/(-1). Let y(l) = -l + 3. Let t be y(f). Solve -t = -3*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046 - 4.62?\nAnswer: 1041.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-28))\/((-3)\/(-42))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11774 - 11757.823. Round t to 1 dp.\nAnswer: 16.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**3 - 14*o**3 + 16*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u - 1. Let q(r) be the second derivative of -r**3\/3 + r**2\/2 - 2*r. Suppose 0 = -3*j + 12 - 3. Give j*p(o) + 4*q(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovaggovga. Give prob of sequence ovo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -25 + 8*o + 52 - 6*o. Let i be p(-10). Solve -3*h - 12 = -i*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111052 (base 9) in base 14?\nAnswer: 1a29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, d: 3, y: 3}. What is prob of sequence yiy?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 11:46 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -523386*z + 37. Let q be f(-4). Suppose -3*j = -19206419 - q. What is j rounded to the nearest one hundred thousand?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2. Let f(n) = 519 - 519 - n**2. Determine x(f(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 243.12 - 245. Let z = 4.88 + -5. Let h = z + y. Which is the nearest to 0? (a) 4 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*o = 75*o + 245421. Does 67 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119.384 - -48520.384. Let s = q + -48388.9966. Let i = s + -12. Round i to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1746 + 1742.802. Round s to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 3*f - 11. Let r be (36\/(-15))\/((-7)\/(-210)*-8). Let h be a(r). Solve 44*t - h*t + 4 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*y + 79*y - 47*y - 2640 = -43*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 - 7 + 7)*(3*j - 6*j + 4*j + (-3 + 5 + 0)*(-j - j + 3*j)).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by -1?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*(sqrt(176) + sqrt(176) + -3*(0 + sqrt(176)) + sqrt(176) - sqrt(176)))**2 + 1*(1 + sqrt(176) + -2)**2*-3.\nAnswer: -354 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2. Let t(l) = 2*l + 135. What is t(k(c))?\nAnswer: 6*c**2 + 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3364952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 0*h**3 + 4*h**2 + 1\/12*h**4 + 0 + 0*h. Let g(w) = -5*w**2. What is t(g(f))?\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12803 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 5*j - 1307 + 1402, -j = 2*r + 36 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3552*m**2 + 3*m - 3551*m**2 + m + 15*m**3 - 1 + 0 in the form f + d*m**3 + a*m**2 + u*m and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -105, -131, -179, -261, -389?\n\"Answer: -2*f**3 + f**2 - 15*f - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 22*j - 283 + 385 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5832191105.\nAnswer: 5, 13, 17, 5278001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((13 - 6)\/(-7))\/((-1)\/2). Solve 4*v - 5 = -5*t, -v - 7*t - 10 = -q*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 48205*t - 385591. Calculate p(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1085*s**3 - 886*s**2 + 5*s - 15. Let y(q) = -9*q**2 - q + 3. Let t(p) = -h(p) - 5*y(p). Find the third derivative of t(w) wrt w.\nAnswer: -6510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1 - -1 - 4. Let y be 24\/v*(-61164)\/54. Suppose -184 = u - y. Round u to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/19 - 458*o\/19 - 460\/19 = 0.\nAnswer: -1, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/29 and -1063.67 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 50*y**2 - 3062*y + 737. Give r(61).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8501*g**2 - 36085*g wrt g?\nAnswer: 17002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzmmzmuddmmzuamua. Give prob of picking 1 u, 1 z, 1 m, and 1 d.\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7021 + -6971. Let l = 36 - -33. Suppose -2*x + 43 + 15 = 4*k, -l = -3*x + 3*k. What is the highest common factor of x and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149 by 9.\nAnswer: 149\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 0. Solve -4*k + 8 = 4*n, 4*k + 0*n - c = -3*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**28\/r)\/r)\/r**(-34)*(r\/r**(-10\/9))**(13\/7))**(5\/2) assuming r is positive.\nAnswer: r**(20135\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*t + 8 + 151. Put 0, -3, t, 1 in increasing order.\nAnswer: -3, 0, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k)**(4\/5)*k\/(k\/(k**(-5)*k)*k)*(k**(-2\/3)\/k)\/k)**29 assuming k is positive.\nAnswer: k**(-667\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 317584 and 34040.\nAnswer: 58753040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 - -58. Let w = h - -62. What is the smallest value in -14, w, 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -13326*q**2 + 66630. Let r(w) = -w**2 + 2. Give p(b) - 33315*r(b).\nAnswer: 19989*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p\/(p**(-22)\/p)*p*p))\/p)\/(p**(-3)*p)*(p\/(p**(-1)\/p*p))\/(p\/p**(-4\/21)))**(-3\/17) assuming p is positive.\nAnswer: p**(466\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3)\/(q**5*q))**(-6))**(-2\/89))**(-41) assuming q is positive.\nAnswer: q**(4428\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.5, -3, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/10 + 112\/5. Let p = 289.3 + -289. Is p bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99071.11g in milligrams?\nAnswer: 99071110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 15*z**3 + 4*z**2 - 4*z + 14. Let o(j) = -8*j**3 - 2*j**2 + 2*j - 8. What is 6*k(d) + 11*o(d)?\nAnswer: 2*d**3 + 2*d**2 - 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221 divided by -49078.\nAnswer: 221\/49078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - j + 0 - 10 - 6*j**2 - j**3. Suppose -183 = 20*p - 63. Let g be o(p). Solve -4*y = -y + c - 7, -g = c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -3*s + 45, 17*s + 11 = -4*k + 24*s for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25998000?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 875 and 89845.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 35 - 36 - 2*k**2 + 6*k**2. Is o(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 2*p**2 - 4*p + 7. Let y be u(3). Let x be y\/15 - 1\/(-3). Solve -v = -x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -689?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/95 in -4, -19, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 902 or 4512\/5?\nAnswer: 4512\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13189 + -2757. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 455 - 452. Find the second derivative of 481*h - 68 + 477*h - 10*h**4 + 12*h**x - 957*h wrt h.\nAnswer: -120*h**2 + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -576.00000806 - -576. What is z rounded to 7 dps?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*m**2*n**2 - m**2 + 6*m*n**2*p + n**2 + 672*p wrt n.\nAnswer: 52*m**2*n + 12*m*n*p + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by (3 - (5 + -5)\/2) + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 2*s - 22. Let b be f(6). Solve -b*k = 4*k + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841598086 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49 in 1\/6, 0.5, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2482? (a) 0.9 (b) 0.424 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -2436, -3, 2, 0, 4 in descending order.\nAnswer: 6, 4, 2, 0, -1, -3, -2436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6804)\/(-567)*(-2 + (-14)\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3109*y + 0*y**2 + 0*y**2 + 8*y**2 - 2064*y - 1045*y.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (276\/144 - 2)*(-9)\/2.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) 11\/5 (b) 0.07 (c) 5 (d) 1\/12 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 4. Let g be o(-6). Let w = 14 + 3. Let u = -12 + w. Solve -u*n - 2*i + 45 = -6*i, -g*n + 5 = i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -3*a**2\/2 - 2*a + 44. Let j(m) = 0*m + 2 + m - 1 + 0*m. Let s(r) = -r**2 + 4*r - 2. Let v be s(3). What is v*z(y) + 2*j(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v - 5. Let a be w(-9). Let u = 71 + a. Suppose -2*x + 4*z + 16 = 0, -2*x - 3*z - u = x. Sort 3, 5, x in ascending order.\nAnswer: x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 10*o**2 + 3*o - 2. Let k(m) = -m + 3. Let i be k(3). Suppose i = -5*w + 10 + 40. Is c(w) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4460 + 28120. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 8)\/(-4) - -82. Let y = w + -82. Suppose -6*f = -25 + y. Solve -3*o = -5*o + f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10108.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - l)*(3*l**3 - 4*l**3 + 0*l**3) + 2*l**4 - 2*l**4 + 2*l**4 + 898*l**4 - l**3 - l + l**2 - 48982 + 48982.\nAnswer: 901*l**4 - l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -357, -719, -1081, -1443, -1805?\nAnswer: -2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 9\/40*a**6 + 0 + 0*a - 1\/24*a**4 + 1\/30*a**5 + 0*a**3 + a**2. Does 11 divide z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269051 divided by -5.\nAnswer: -269051\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 18 - 15. Let q(j) = j**2 + 4. Let w be q(o). Let k(n) = 5*n - 27. What is the tens digit of k(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a factor of 1142672042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.02 - -9.5. What is l rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/17)*h)**(-35) assuming h is positive.\nAnswer: h**(-525\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31573649 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**5 + 30560*k**4 - 59998048*k**3 + 6226452992*k**2 - 187814939200*k + 1134620480000 = 0.\nAnswer: 8, 50, 3766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2826*w**4 - 441*w wrt w?\nAnswer: 33912*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 - 0) + (-3 - 5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -3 in decreasing order.\nAnswer: 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 87292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11572*d**4 + d**2 - 460*d wrt d?\nAnswer: 277728*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 67626\/1768 - 3*(-15)\/(-36). Let m(c) = 555*c**2. Let f be m(1). What is the highest common divisor of f and b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6935576515?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5265\/1560*(-16)\/(-6). Let v(h) = -8*h - 5. What is v(s)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*k*y - d**3*k - 415686*d**3*y**2 + d**2*k + 18*d*k*y**2 + 301624*d wrt y?\nAnswer: -831372*d**3 + 36*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.794740684 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -755*m + 2034*m + 50 + 0. Let w be z(14). Is -2 - w\/(-5 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(363) + (sqrt(363) - (sqrt(363) + -1 - sqrt(363))))*4)**2.\nAnswer: 4224*sqrt(3) + 139488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/8)\/(15\/(-18)*-3)*(-918)\/45?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 18 + 66 = 0. Suppose 3*g - i = 4*x - 589, 3*x = 4*g + 415. List the prime factors of x.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0 + 0*g**3 - 1\/10*g**5 + g**2 + 0*g - 1\/60*g**6 - 1\/6*g**4. Factor c(s).\nAnswer: -2*s*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, -1, -10, -25, -46, -73, -106?\n\"Answer: -3*i**2 + 6*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 230 = -i, 3*i - 4*t = -0*i + 700. Let b be (-12 - 0)*(-1020)\/i. What is the highest common factor of b and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1638755*k*n**3 - 3*k*n - 10*n**3 - n**2 + 97*n + 52 wrt k.\nAnswer: -1638755*n**3 - 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -1, -4, 1\/7 in decreasing order.\nAnswer: 1\/7, -1\/4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w - 1. Let c be 2\/(-7) - 37\/(-7). Suppose -32 = 5*b - 3*h, 0*h + 34 = -c*b + h. Let j be u(b). What is the greatest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u = -q + 2237 - 2285, -5*u - 24 = q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1624612.\nAnswer: 2, 11, 36923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 809\/7 + -116. Suppose -5*o + 3*j + 5 = -j, 0 = -j + 5. Suppose -3*q + o = 8. Which is the nearest to q? (a) -2 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -193*z - 141. What is the tens digit of s(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*348.1.\nAnswer: 6962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/(-9) - 16\/(-72). Suppose -c + 9 = -5. Let q be 40\/35*(-42 - -49). Solve -c = -2*n - v*z, -q = -3*z + z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-330)*(-5830)\/3975.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 3*c**2\/2 + 6*c - 2. Let z be x(-6). What are the prime factors of (-8)\/z*69\/2?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -22.94.\nAnswer: 4.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 + 14*f**2 + 16*f + 3. Determine s(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2191464 is divided by 121748.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -18*u - 6. Let y(j) = -2*j + 5 + 24*j - 5*j. Let v(x) = -4*h(x) - 5*y(x). Calculate v(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3 + 20 + 2*o - o**2 - 15 - 9. Suppose 2*n = -3*n + 5. Determine m(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5011809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - 44. What is the greatest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/35 - 1\/(-15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f - 2. Let y(p) = p. Give u(c) + 5*y(c).\nAnswer: 11*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 47, 72, 119, 194, 303, 452?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 12. Let w = 64 - p. Let h be (4\/(-18))\/(w\/51). Is 2 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 0, 85?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2513175 + 2?\nAnswer: 2513177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*w + 79*w + 52605 = 0. List the prime factors of w.\nAnswer: 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(275) + 1*sqrt(275) + sqrt(275))*-5)**2 + -1.\nAnswer: -750*sqrt(11) + 61899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4\/11 - 266*j**3\/11 + 197*j**2\/11 + 9576*j\/11 - 3204\/11 = 0. Calculate j.\nAnswer: -89, -6, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1481949750 to the nearest one million.\nAnswer: -1482000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h - 4. Let x be s(5). Suppose x = 4*i - 7. Suppose -i*z = 2*z - 81. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*h - 2 = 0, 0 = 2*q - 0*h - 5*h - 16. Solve -3 - 9 = q*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 - 2.04. Let p(o) = -o - 7. Let v be p(-11). Which is smaller: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j - 32. Let s be 2 - (j\/2 + 3). Find the second derivative of 2*x**4 + 3*x - s*x**4 + 0*x**4 + x wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4313?\nAnswer: 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 (base 8) in base 11?\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/21 + (-120)\/(-21) + -6. What is the units digit of ((x - -33)\/(-1))\/(4\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154507344 divided by -6437806?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 15*g**2 - 18*g + 29. Give a(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - 3?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(25)\/(sqrt(25)\/sqrt(5)).\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.1, -2\/13, -0.0285, -5, 0, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**3 - 2*g**2 - 2*g. Let v be x(-1). Let m be v*4\/(0 + 4). What is the nearest to -3\/4 in -0.5, -0.2, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38073647901 plus -0.07687?\nAnswer: -38073647901.07687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3 + 2*k**2 + 2*k - 3. What is u(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 25*v**2 - 26*v**2 + 55*v**2 + 16 + v**3. Let w be j(-5). Which is the closest to 0.2? (a) -3\/10 (b) 5 (c) w (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1*(1 + sqrt(1100)) + -4*(sqrt(1100) + 0) - (5*(sqrt(1100) + -1) - (sqrt(1100) - (-1 + sqrt(1100)))*-5)))**2.\nAnswer: -400*sqrt(11) + 110004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -391 divided by -8?\nAnswer: 391\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*q = -15 - 7, -c - 3*q = 3. Let f(r) = -9*r**3 + 2*r**2 + r. Let j be f(-1). Let v = c - j. Solve 0 = m - v*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(192) + -1*sqrt(192) + 0 + 0 + sqrt(192) + 1 + (sqrt(192) + 0 + 0 - (5 + sqrt(192) + 1 - sqrt(192))).\nAnswer: -3 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (12 - (-4 + 41))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 7*r - 10. Let i be w(5). Let l = -75 + 190. Let v = l + -115.6. What is the closest to i in -2, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6954, 6953, 6952?\nAnswer: 6951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14\/163 - -629\/1630. Let a(p) be the second derivative of 15*p + 1\/2*p**4 + 0 + 0*p**2 + 0*p**3 + i*p**5. What is the third derivative of a(z) wrt z?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 1583*n - 1579*n + 2, 3*s - 5*n - 30 = 0. Solve 0 = -s*x - 4*o - 1, -5*x - o + 4 = -8*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -47821 (b) -4 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924008720.\nAnswer: 2, 5, 47, 245747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -112 + -97e?\nAnswer: -a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 = 11*j + 8*j. Find the first derivative of -53 - 9*v**2 + 88*v - 44*v - j*v wrt v.\nAnswer: -18*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (17 - (-2 - 1)). Let m = h - -31. List the prime factors of ((-4)\/(-3) - -2)*m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - -3) + (894 - 1)?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p - 3*p + 3*p)*((0 + 0 - 2)*(0 + 2 + 1) - 2 - 2 - 1) as k*p + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 11*h**2 - 7*h + 10. Let b be w(-10). Let x(v) = -2*v**3 + 16*v**2 - 15*v - 17. Let a be x(7). Is b less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1383967437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*o**3 - 69 + 32*o**3 - 19*o**2 + 17*o**2 - 18*o**3 + 2*o**4 as d*o**3 + w*o + s*o**4 + f*o**2 + h and give h.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*p = 34, -3*x - p - 12 - 9 = 0. What is the tens digit of (-1236)\/(-27) + x\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**2 + 4*a**2 - a**2. Let k(o) = 0*o + 19*o - 18*o. Determine w(k(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39 and -0.5.\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15517223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 1. Let i(o) = o**3 - 12*o**2 - 17*o + 23. Let z(r) = -r**3 + 2*r - 3. Let q be z(0). Let y(f) = q*l(f) - i(f). List the prime factors of y(9).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -274373\/2 != -137188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5879167?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 21. Let u(n) = -3*n + 42. Give 5*k(b) + 3*u(b).\nAnswer: b + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -26. Let x be 4\/(-14) - (-79)\/7. Let w = x + h. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09301454 to 3 decimal places.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89559014?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5000976 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832 - 858 = w - 3*t + t, -80*w - 148 = t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 3466351.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398108*v - v**2 + 796241*v - 398120*v.\nAnswer: -v**2 + 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - (sqrt(150) - 3*sqrt(150)*-5)) + sqrt(150)*4*-6)\/(sqrt(243)*-1*-2 - (1*-2*sqrt(243) - sqrt(243))).\nAnswer: -13*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -84 - 148. Let y = w - -180. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-2))\/((-3)\/6). Suppose c*n - 6 = 4. Suppose -40*m + 1527 = -340 - 333. What is the greatest common divisor of n and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/5)\/((-1326)\/(-3825)*-45).\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 598085 - 598075. Factor -2*c**2 - m + 81\/2*c.\nAnswer: -(c - 20)*(4*c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.851898l?\nAnswer: 851.898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - a - 5, 6*a = 3*a + 9. Suppose -2*i = p - 5, 4*p - 7 = -3*i - c. Suppose 4*l - 2*l - i*f = 55, -4*f = -4. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138.164 - -41.317. Let k = -97 - b. Round k to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1495 - -1499. Calculate the greatest common divisor of q and 268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-9*23\/207))\/((-3)\/((-27)\/6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41a2 + 1c?\nAnswer: 41c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 223241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -140*t**3 + 36*t**3 - 17*t**3 + (t**2 + 0*t + 0*t)*(-t + 3*t - t + (0*t + t + t)*(3 - 1 + 0) - 2 + 2 - t - 2*t + 0 + 0).\nAnswer: -119*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 57*u**2 - 798*u + 61. Calculate s(25).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/13, 0.07713, 0, -3 in decreasing order.\nAnswer: 1, 2\/13, 0.07713, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 651619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 - 9*a**2 - 19*a + 17. Suppose 4*v - 8 = -2*b + 6*v, b + 4*v - 24 = 0. What is the hundreds digit of f(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120269739.\nAnswer: 3, 31, 83, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 at most 49502\/157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -16*q**3 + 3*q**2 - 5*q + 3. Let l be y(1). Let m(k) = -k**3 - 15*k**2 + k + 15. Let g be m(l). Put 5, 1, g, -3 in decreasing order.\nAnswer: 5, 1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 401330 - -1304?\nAnswer: 403134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24980102, -49960221, -74940342, -99920465?\nAnswer: -124900590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15258 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/120 + v**5\/20 + v**4\/24 - v**3\/6 - v**2. Let w be r(3). Solve -3*f = -w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 7*j - 3. Which is the smallest value? (a) 3 (b) 19 (c) j (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + j - 35. Let q = j + -6. What is the units digit of q\/5 + (-58)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 39884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15 - 11)\/(7\/(630\/24)). Solve 0 = -4*a + p - 24, 10*a - r*a - 21 = p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19080359, -38160720, -57241081, -76321442?\n\"Answer: -19080361*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/13))**(-4\/33) assuming z is positive.\nAnswer: z**(4\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17332 rounded to three decimal places?\nAnswer: 0.173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -16910 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -321.9242 rounded to the nearest integer?\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -78008341746645.\nAnswer: -78008341746644.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = t - 24, h + 9 = t + 2*h. Suppose -v - 12 = -3*o, o + 0*o = 4*v + t. Let z be v*(-4)\/((-32)\/(-4)). Solve -7*f + 2*f + 20 = z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21728.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1, -1\/5, -5, -3, 12586?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9095399 less than -9095402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(3\/5))\/t**4)\/(t**(-2)\/((t\/(t**(2\/3)*t)*t)\/t)) assuming t is positive.\nAnswer: t**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 7:39 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*h**3 + 33*h**3 + 5*h**4 - 42*h**3)*(0*h - h + 6*h).\nAnswer: 25*h**5 + 30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 336629519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53345 (base 8) to base 7.\nAnswer: 121566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 787927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2015153144 to the nearest 100000.\nAnswer: -2015200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 271*p**3 - 19*p**2 + 11*p - 7. Is g(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-1382*c + 1608*c + 2149*c + 8 - 8).\nAnswer: 2375*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -95*w + 219. Calculate n(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -101.9941. Round n to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(49) - sqrt(49))\/sqrt(7) + 4 + sqrt(28) + -2*(sqrt(63) + -2).\nAnswer: -3*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9451493, 9451476, 9451433, 9451352, 9451221, 9451028?\nAnswer: 9450761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -4 + 24 - (-3 + 4 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oswo when four letters picked without replacement from {s: 2, y: 1, f: 1, q: 3, o: 5, w: 3}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0511 + 5.0511. Which is the closest to -0.4? (a) 1 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 1. Let g be q(6). Suppose -4*r - r = -m + 25, 0 = 2*r + 2*m + 10. Let h = r - -17. Solve -2*w = -g*w - h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-116)\/20 - -1) + (-36)\/(-45). Let z be 180\/16 + -11 + (-951)\/t. What is the highest common factor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/(-35)*(-20)\/(-56). Let z = -98 + 787\/8. Which is the nearest to d? (a) 0.5 (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3386 a factor of 3954837842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15161?\nAnswer: 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -46 - 769. What is the remainder when n is divided by (((-2 - -2) + 1)\/(-2))\/(52\/(-8736))?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 137 + -74. Let x = -62.5 + a. Sort -4, x, 2\/21, 1\/6 in descending order.\nAnswer: x, 1\/6, 2\/21, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 11*h**2 + 1522*h - 11991. Calculate u(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + -6*sqrt(7)*-2)**2.\nAnswer: 120*sqrt(7) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -17*g**2 + 3*g**2 + 16*g**2. Let s(r) be the first derivative of -r**3\/3 - 3. Determine s(f(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 48 = -2*g. Suppose y = -d - d, -g = -4*y + 4*d. Suppose 90 = y*p + 3*p. What is the least common multiple of p and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 16*o - 88 = 0, 4*o - 6*o - 5 = -3*y + 9 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - a - a**2 - 6 - 9*a. Let t be p(-4). Let q(m) = -m + 2. Let d be q(t). What is the nearest to 1 in d, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*-6*4*((sqrt(125) + 0)*3 + sqrt(125))*-3 + -1)**2.\nAnswer: -86400*sqrt(5) + 373248025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 455.598mm in nanometers?\nAnswer: 455598000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 15862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iid when three letters picked without replacement from diihoiddiddhoididosi?\nAnswer: 49\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + -2*(0 - -1). Let p(j) = -2*j - 1. Let l(a) be the second derivative of -1\/2*a**2 - 1\/2*a**3 + 49*a + 0. What is y*p(b) + 3*l(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.53 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2555702656 + 0.9.\nAnswer: 2555702656.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14*(-3605)\/26265.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwmbvvvwv. Give prob of sequence mb.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417524.\nAnswer: 2, 104381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 143, 283, 467, 701?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70365649.\nAnswer: 73, 963913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1317*r - 565. Is w(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = 2*n. Suppose -11*a + 14*a - n = 0. Let h be (1 - a) + 0 + 3. Put h, -4, 4, -11 in descending order.\nAnswer: 4, h, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16667\/8 - -2071. What is the common denominator of 53\/25 and v?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.1883l in millilitres?\nAnswer: 562188.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -12*u + 25. Determine o(7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3294933 to the power of 1\/2, to the nearest integer?\nAnswer: 1815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 + 44\/(-12). Sort 1, -2, b.\nAnswer: b, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4*((-76)\/(-28) - 1). Let j = 5634.8 + -5635. Which is the fourth smallest value? (a) v (b) -6\/25 (c) j (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -372 divided by 62\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 141 = -3*u, -2*u + d - 35 = -124. Let i(y) = 4*y**2 - 2*y + 10. Let x be i(7). Suppose -u - x = -2*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/5 + 5923*w**4\/5 - 405852*w**3\/5 + 9189904*w**2\/5 - 73502624*w\/5 + 113397648\/5 = 0. Calculate w.\nAnswer: -5991, 2, 14, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 284, 529, -158, -2677, -7928?\n\"Answer: -150*g**3 + 434*g**2 - 7*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7}. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -349, 0, -2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 2608.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2165778 and 870?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -335 + 33031524?\nAnswer: 33031156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 332*m + 336*m = -12, -3*b + 2*m + 28 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-292)\/1460)\/(3*(-1)\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 35 (b) -368\/5 (c) -11 (d) -0.8 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14163 + 40082. What are the prime factors of r?\nAnswer: 25919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 86*i. Let m(x) = -114834*x. Determine m(h(u)).\nAnswer: -9875724*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184, 180, -3 in decreasing order.\nAnswer: 184, 180, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 191376767697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168 + -166. Let n(u) = -195*u**2 + 376*u**2 - 186*u**o. Let x(l) = -16*l**2. Give x(n(b)).\nAnswer: -400*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1120089*n - 89547 wrt n?\nAnswer: -1120089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034332 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kbykbkkbkgbbkkkkabbg.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*f**2 + 12 + 0*f**2 + 5 + 10 in the form j*f + y*f**2 + s and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 3032021?\nAnswer: -3032020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -308, -1274, -2900, -5186, -8132, -11738, -16004?\n\"Answer: -330*c**2 + 24*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -176, -266, -354?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 11*d + 18. Let v(z) = -2*z**2 + 16*z + 6. Let n be v(9). Calculate the least common multiple of 18 and w(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27519, -4, 145, -3, -1, 4 in decreasing order.\nAnswer: 27519, 145, 4, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -111\nAnswer: -4\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 7989985*g + 7989990.\nAnswer: -5*(g - 1597998)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*d + 6572. Let t = -1756 - d. Round t to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 20 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 285856536 = -8*i. Let p = 106464134 + i. What is p rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, 1, -26 in descending order.\nAnswer: 1, 0.4, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = b - 34, -3 = -p - b + 7. Solve 3*t - p = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19\/5 - (-160)\/(-200). Solve -2*w = 3*d + g, -3*w = -8*w + 3*d + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 6:10 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 t, and 1 n when three letters picked without replacement from {m: 6, s: 1, n: 1, t: 5, u: 1}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyhfyyyypypy. Give prob of picking 1 y, 1 p, and 1 f.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348601 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -25*c - 6. Let y(i) = -1. Let k(x) = s(x) - 5*y(x). Does 9 divide k(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1676 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10302, 20531, 30760?\nAnswer: 40989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -5. Let b = g + 4. Let i be b\/(-12)*(-2 - -4). Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 319820*r. Let a(c) = 61*c**2. What is a(i(w))?\nAnswer: 6239374776400*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 84526 and -4.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1752 and 23\/163288.\nAnswer: 35760072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 335, -89, 0, -3 in descending order.\nAnswer: 335, 0, -3, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4 - 13 = 0. Let d(u) = -u**2 - 5*u - 4. Let x be d(q). Which is bigger: x or 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14476 is divided by 7190?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4\/3 + 1864*w**3\/3 + 8960*w**2 = 0. Calculate w.\nAnswer: -14, 0, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*g = 567, -5*b + 945 = -3*g + 6*g. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 - 63. Suppose 3*v = -0*v - j. Let d be 4 - -1 - (v + 11). Is 4 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -14*p + 100. List the prime factors of f(-24).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*v - 1645425 - 362735 = 16*v. Is 163 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 174, -3, 5 in descending order.\nAnswer: 174, 5, 0.09, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4777 - 8354. Which is smaller: -3576 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890.0595 centuries in years?\nAnswer: 89005.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*t + 95995. Let n be t\/15 - 2\/(-6). What is n rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11517*x + 241316. Give i(-21).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3266 * 0.1\nAnswer: 326.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3146? (a) -1\/3 (b) -1 (c) -2 (d) 37 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 716 = v, 3*z - 3*v + 2*v - 428 = 0. What is the greatest common divisor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*k + 23 = -3*k, -5*o - 4*k + 21 = 0. Suppose -21 - 9 = -15*l. Suppose j = -0*j - 5*z, 2*j + l*z = 8. Solve -v + n + j + 1 = 0, 20 = -o*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(2 - 184\/90). Let 0 - 4\/9*i**3 + y*i**2 + 2\/9*i = 0. Calculate i.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h)\/(h\/(h*h\/((h\/(h\/(h\/((h*h*h**12)\/h))))\/h)))*(h**(-1\/6)\/h)\/(h\/((h\/(h\/h**(3\/5)))\/h)))**25 assuming h is positive.\nAnswer: h**(1865\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18 + 3 = 0. Suppose -c*m = -7*m. Suppose -6*x + m*x = -912. What is x rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**3 + 75*w**2 - 2*w + 55. Let r be p(25). Sort 3, 71\/3, r, 0 in decreasing order.\nAnswer: 71\/3, r, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuvvvuu. Give prob of sequence vuuv.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 223*m + 26986. What is y(87)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17067935?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -2*v**3 - 5*v**2 + 3 + 8*v - 4*v - 2. Factor i(l).\nAnswer: -2*(l + 2)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -402474 - -1609899\/4. Let p = 1.59 - 1.5. Which is the nearest to p? (a) -3 (b) 1\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3000925, 3000924, 3000923?\n\"Answer: -n + 3000926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 11:57 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {s: 2, p: 2, h: 5, x: 1, m: 1, c: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/126 and 3 - (3951\/324 + 2\/9).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 175, 315, 441, 547, 627, 675, 685, 651?\n\"Answer: -h**3 - h**2 + 150*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*h**3*v + 25*g*h*v + 1078520*g*h + 2*g*v + 7587*h**3 + 201*h**2*v + 2*h*v wrt h?\nAnswer: -12*g*h*v + 45522*h + 402*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3944, 4642, 5340, 6038?\n\"Answer: 698*n + 3246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 251753, 503505, 755259, 1007015?\n\"Answer: y**2 + 251749*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-308)\/539)\/(9\/(-7) + 1). Let q(y) = -54*y - 3. Calculate q(g).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.0921l to millilitres.\nAnswer: 1092.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610754947.\nAnswer: 11, 1493, 37189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 2*l + 196461222. Let r(v) = -v**2 - 8*v - 12. Let c be r(-6). Let z be m(c). Suppose 11*x - z = 3738778. Round x to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 1746812*z + 381419020418.\nAnswer: 2*(z + 436703)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128727257 to the power of 1\/4, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 154. Let y(r) = -2*r + 156. Determine -5*t(v) + 4*y(v).\nAnswer: -3*v - 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-7))\/(37\/(-25641)*-99).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (612\/(-255) - (1 - 3))\/(8\/(-20))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6 and -161\/27481290.\nAnswer: 27481290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29357*t - 2 + 15*t**2 + 29357*t to m*t**2 + p + x*t and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.2 + 0.2. Let o be ((575\/(-30))\/5 - -4)*-2. Which is the nearest to 3? (a) o (b) 1\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d - 1. Let w = 28 - 19. Calculate the remainder when y(w) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43 (b) 9\/4 (c) -0.3 (d) -111 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -12 (c) -5 (d) 3\/2 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - r = -43 - 16, 4*r = 5*c - 331. Calculate the remainder when c is divided by 47.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjej when four letters picked without replacement from {x: 1, j: 2, b: 1, e: 1, s: 1, q: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, 5, -3\/5, 7\/8, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 - 96*f**3 + 0*f + 53*f**3 + 49*f**3 + 6*f**2 - 2*f. Let q(b) = -11*b**3 - 4*b**2 + 3*b. What is 5*n(i) + 3*q(i)?\nAnswer: -3*i**3 - 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*b - 2*o, 5*b - 5*o = -0*o + 50 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 23, 19, 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 130\/14 + 8\/(-28). Suppose 3*s - 4*h - 16 = 0, -7*h + b = 3*s - 4*h. Suppose 0 = -2*x + 3 - 7. Put -4, s, x in decreasing order.\nAnswer: s, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1207, 4120, 8973, 15766?\nAnswer: 24499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -29*m**2 + 123*m - 26. Give u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, k: 2, q: 2}. What is prob of sequence kqvk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -5*d + 4*r, 0 = 3*d + 2*r + 7. What is the common denominator of -6 + 5 - (4 - (6 - d)) and 16\/35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122903401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 292942866*j**3 + 242778389*j**2 wrt j?\nAnswer: 1757657196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 3374202*d - 118094620.\nAnswer: -2*(d + 35)*(d + 1687066)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -33*t**2 - 2714*t - 306. What is k(-82)?\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*p + 2*d - 120, 0 = p + 3*d - 20. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 4*c**2 + 2*c + 1. Let s = -6 + 8. Suppose -5 = -s*x + 3. Suppose 4*w - 8 = x. What is k(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 + -217. Let t = x - -154. Calculate the highest common factor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/11 and -93\/17642?\nAnswer: 194062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.93 + -7.13. Suppose -3*a + 10 - 34 = 0. Let j be (a\/24)\/(10\/12). Is j bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*k - 14, l - 4*l + 30 = 5*k. Let i = 4.3 + -4. Which is the second biggest value? (a) i (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10229917 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: Round 28043.388 to the nearest ten.\nAnswer: 28040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -7. Let l(o) = -o + 1. Let y be l(-4). Suppose -y*b = -10*b + 25. What is the smallest common multiple of b and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9646849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -5)*6\/15. Let l be (-6)\/t*2 + -1. Suppose l*m - 57 = -4*f, -5*f + 31 + 29 = 5*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64740 = 21*x + 57*x. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539275?\nAnswer: 5, 11, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 164425*q + 3452925. Calculate h(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2 + 10025130*a + 8375269293075 = 0.\nAnswer: -1670855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6376030?\nAnswer: 2, 5, 637603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 2980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22499951 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y - 7. Let u(f) = -5*f - 13. Suppose -7*t = -2*t - 15. Suppose -5*a = t*a + 48. What is a*u(i) + 11*s(i)?\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -16, 21, 2, 5 in ascending order.\nAnswer: -16, 2, 3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 4) to base 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2180 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 61594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6 = -2*m, -2*m - j = m + 9. Let x be 3 - ((-4)\/8)\/(m\/6). Solve -x*q - 2*a = -4*a, -4*a = 3*q - 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 11*a**2 - 6*a. Let d be x(6). What is the second derivative of 0*y - 14*y**3 + d*y + 13*y wrt y?\nAnswer: -84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 4*x - x + (2 + 3 - 2)*(x - 4*x + 4*x))*(2 - 2 - 2)*(-3 + 5 - 4).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k - 67. What is the remainder when 61 is divided by p(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*r - 86, 29 = r - 5*y + 7. Calculate the highest common factor of r and 1207.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**5\/20 + 47*j**4\/4 - 840*j**3 + 2450*j**2 + 2*j + 329. Find w, given that a(w) = 0.\nAnswer: 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 308?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22131 is divided by 22083?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(4 + -6) + -4. Let o be 27\/(-18)*(a - 0). Solve -5*t + 14 = -3*c, -o*t + 14 = 3*c - t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (123 - -10) + -1 + (26 - 50)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 7) to base 8\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i*i**0*i*i)\/i)*i**(-3) assuming i is positive.\nAnswer: i**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - (-2 - 0\/(-1)). Let b be ((-12)\/(-10))\/(g\/(-150)). Let f = 141 + -126. Calculate the greatest common factor of b and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z. Let r be ((-74)\/185)\/(1\/(-20)). Let p(c) = -20*c + 37*c - r*c. What is p(q(y))?\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -54707986, -109415970, -164123954, -218831938?\n\"Answer: -54707984*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1885479 is divided by 9735.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 710011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27420, -27438, -27474, -27534, -27624, -27750?\nAnswer: -27918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 63, 859, 1655?\n\"Answer: 796*b - 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 58, 119, 180, 241, 302, 363?\n\"Answer: 61*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 9. Suppose 0 = -x - a*s + 30, -3*s = -3*x + s - 5. What is the lowest common multiple of x and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169487769 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 - 29*i**2 + i + 1697. Calculate c(0).\nAnswer: 1697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 902415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypy when three letters picked without replacement from ypyppypyyypyp?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-2\/125)\/(((j\/(j\/((j\/(j**(-5\/6)*j))\/j)))\/j*j)\/j**(-2\/5)))**18 assuming j is positive.\nAnswer: j**(-489\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**2 + 0*k**2 - 5*k**2 + 0*k**5 + 3*k**5 wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -107*n + 112*n - 2491, 1982 = 4*n - 2*l. Calculate the remainder when n is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 404\/15. Let z(t) be the third derivative of q*t**6 + 1\/105*t**7 + 1\/3*t**4 - 2*t**2 + 1\/3*t**3 + 1\/5*t**5 + 0 + 0*t. Find v, given that z(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b - 90*b + 33*b - 36 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 467*k - 480*k - 364. Let l = -3 - -1. Let b be (350\/k)\/(l\/(-934400)). What is b rounded to the nearest 100000?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*p**2 + 44*p**2 - 55*p**2 + 66*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*(n*n**1*n)\/n))**(-16)\/((((n\/(n\/n**(14\/3))*n)\/n)\/n)\/n**(20\/7)))**(-6\/7) assuming n is positive.\nAnswer: n**(-1982\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*b**2 - 202?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)*l*l)\/l*l*l**(-2\/13))**(4\/9)\/(l**5*l*l**(-1)*l*(l*l\/(l*l\/((l\/(l\/l**(-2\/5))*l*l)\/l))*l)\/(l**(-5)\/l*l)) assuming l is positive.\nAnswer: l**(-2557\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -744.67*-1864\nAnswer: 1388064.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 6. Let n = -2.9 - t. Let p be (10\/190 - (-6641)\/(-551)) + 14. What is the smallest value in -5, p, n, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*b + 846 = 5*t, -3*b = -2240*t + 2239*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**7\/210 - w**3\/2 + w**2\/2 - 2. Let d(f) be the second derivative of x(f). What is the derivative of d(c) wrt c?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 5*v - 140495 + 140396, -v - 3*z + 89 - 23 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2140 - -2665.2. What is m rounded to the nearest ten?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 2. Let t be b(2). Suppose 18 + 50 = -t*q. What is the common denominator of q and 122\/112 + 2\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 32 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 0. Let p(y) = 7*y**2 + 2*y + 1. Let n be p(-1). Suppose 4*f - 19 = -3*x, 0 = -2*f + 2 + n. Which is bigger: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 341*r**7\/210 + 19*r**4\/4 + 7*r**3\/6 - 507*r**2. Find the second derivative of u(k) wrt k.\nAnswer: 4092*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17062 - -29967. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:51 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -9.4, 0, 2 in ascending order.\nAnswer: -9.4, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from {b: 3, k: 1, i: 3, d: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - -24 - (-6 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3201033 divided by 1067011\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {z: 3, o: 1, i: 3, b: 5, w: 3, f: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**2 + 7*f**3 - 5*f**2 + (-4*f - 3*f + 6*f)*(-11*f**2 - 9*f**2 - 16*f**2).\nAnswer: 43*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**4\/2 - 2*n**3 - 12*n**2. Let m be z(-3). What is the highest common factor of 168 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*b - 5*m - 23, -5*m - 15 = 0. Let l = b + 16. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.148231 millennia in years?\nAnswer: 148.231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m - m + 8*m - 42 + 104 - 2*m.\nAnswer: -4*m + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -19. What is the tens digit of v\/((-2)\/120*-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5596738 weeks in microseconds?\nAnswer: 338490714240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p - 6. Let c = -46 - -20. Let j = c + 9. Let u(r) = 20*r - 17. Let m(s) = j*h(s) + 6*u(s). Calculate m(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.8 + -9.8. Is j bigger than 9\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/713 and -67\/186.\nAnswer: 4278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3563017 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/2 - 84659*j**2\/2 - 465680*j - 423350 = 0. What is j?\nAnswer: -10, -1, 84670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 15*d**2 - 17*d + 17. Let p = -3268 + 3274. Let j(h) = 5*h**2 - 6*h + 6. Give p*f(w) - 17*j(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3*u + 3)*(5*u + u + 3*u) - 3*u + 3*u - u**2 + (-1 + 2*u + 1)*(-4*u + u + 0*u).\nAnswer: 20*u**2 + 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105182 - 51186. List the prime factors of u.\nAnswer: 2, 13499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6095, -12175, -18249, -24317, -30379?\n\"Answer: 3*s**2 - 6089*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -569*d**3*k + 2*d**3 + d**2 + 32*k - 947 wrt k?\nAnswer: -569*d**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7578.\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -44536545 at most as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -7. Let m = -1 + 0. Let b = -1.1 - m. What is the closest to b in -1\/3, 5, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -47 + (-825 - -862)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/10 + 77*g**2\/10 + 124*g\/5 - 448.\nAnswer: -(g - 7)*(g + 8)*(3*g - 80)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/8 - 3885*k\/4 + 15093225\/8 = 0. Calculate k.\nAnswer: 3885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56 - 0.5443.\nAnswer: -56.5443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1550281 <= -1550300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162) + 0 + 1)**2.\nAnswer: 36*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1030 - 577. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -264*i - 22*i - 49*i - 16. What are the prime factors of b(-3)?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 5013968*l + 20055840.\nAnswer: 2*(l - 2506980)*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2. Let m = u + 0. Suppose -15*d + 5*l + 39 = -11*d, -18*d + 2*l + 32 = 0. Which is the closest to 1? (a) -2\/13 (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, 4, 16, 0.1, -1\/7 in descending order.\nAnswer: 16, 15, 4, 3, 0.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6799272*c**3 + 1733278*c.\nAnswer: 40795632*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1660 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2662)*-3)\/(sqrt(121)\/(1*4*sqrt(11))).\nAnswer: -792*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 24 = 2153. Suppose 5*o - s = 99. What are the prime factors of o?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.4. Let u = h + -23.2. Let r = 20.7 + u. Round r to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148244386.\nAnswer: 2, 17, 233, 18713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -534744585 + -4?\nAnswer: -534744589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -30*m - 374. What is t(-12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 40*c**3 - 11*c**2 + 11. Suppose -24*f = -31*f - 14. Let u(w) = -3 + 2 - 8*w**3 - 1 + 2*w**2. Determine f*b(m) - 11*u(m).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x*(((x*x\/(x*x*(x**6*x*x)\/x*x))\/x)\/x)\/x)*x**(-30) assuming x is positive.\nAnswer: x**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - a + 3 = 2, 5*a = -3*b - 9. Sort 1, -3, b in decreasing order.\nAnswer: b, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -16*(-6 + (-175)\/(-28)*2)*-1. Let m(a) = -2*a**3 - 5*a**2 + 8. Let w be m(-6). What is the greatest common divisor of f and w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**3 + 8*r**2. Let j(g) = -2*g**3 + 3*g**2. Let d = -13 + 16. Suppose -2*z + 9 = -5*v, 5*v = 5 - 30. Determine d*p(o) + z*j(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133344, 266621, 399898, 533175?\nAnswer: 666452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 divided by 143?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a hour in minutes?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*g - 3*a, 7 = g - 0*g - a. Let w(u) = -u + 7. Let q be w(g). Let p(t) = -t**3 - t - 1. Calculate p(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25ac - 5?\nAnswer: -25b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/22)\/((58050\/25)\/86)*27\/6?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1624, -1625, -1626, -1627, -1628?\n\"Answer: -o - 1623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60376 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -26*u + 21. Let a(h) = 13*h - 10. Suppose 3*m - r = -14, 15*m - 10*m + 54 = -6*r. Give m*i(l) - 13*a(l).\nAnswer: -13*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40014 (base 6) in base 11?\nAnswer: 39a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 62105. Let n(g) = g**2. Give q(n(i)).\nAnswer: i**4 - 62105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 3, -11.5, 5, 14 in increasing order.\nAnswer: -11.5, 1\/5, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6167*t + 12341. Give k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrttruttuttrtuuu. What is prob of sequence uu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*h + 40 + 18*h - 44)*(7*h + 3*h - 2*h + (3 - 4 + 2)*(-2*h - 1 + 1)).\nAnswer: -330*h**2 - 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 19*b**3 + 2*b - 3*b.\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1)*o)\/o*o*o**(-2))\/(o\/(o*o*o\/o**(-1)))**(2\/7))**40 assuming o is positive.\nAnswer: o**(-320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -512096.080058 + 512097. Let o = v - 0.92. Round o to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t**5\/2 - 1729*t**4 + 24447*t**3\/2 + 7406*t**2 + 1078*t = 0. Calculate t.\nAnswer: -77, -2\/7, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/220 and -61\/13860.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g - 5*g - g**2)*(-4*g + 4*g + 3*g)*(10 + 41 - 7)*(2 - 5 + 2) to o*g**3 + u*g**2 + a + x*g and give o.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 48415445?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -279 + -123?\nAnswer: -3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3776285501 take away 0.027209?\nAnswer: -3776285501.027209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (90\/(-8))\/(1\/(-4)). Let o be 17 - (3 - 2)*(2 + 0). Let g be (1 + (3 - 3))*o. What is the greatest common factor of g and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 1. Let f be q(5). Let k = -7 - f. Solve -k*p = -12 + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d - 11*d - d + d. Let w be o(-9). What are the prime factors of w + (-8)\/2 - 3\/3?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2 = -3*l, -5*x = -0*l - 3*l + 37 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76920736?\nAnswer: 2, 2403773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is -23 less than -14490.92?\nAnswer: -14467.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11200 (base 5) to base 12.\nAnswer: -568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g = 8. Let u = g + 2. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 29) + -126 - -136.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 12:09 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26662.04l?\nAnswer: 26662040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395877, -395888, -395883, -395856, -395801, -395712?\nAnswer: -395583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 3185007?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 205*n + 69. Let g(i) = -176*i - 68. What is -7*g(j) - 6*x(j)?\nAnswer: 2*j + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -8 + -3 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 630 = 19*k. Find the common denominator of k and 4\/575.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 e, and 1 z when three letters picked without replacement from mzmcemscczeccssmc.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -838*m - 10066. What is s(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h**3 - 41*h**2 + 90*h**2 + 98 - 100 to the form j*h + a*h**2 + o + m*h**3 and give a.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 5. What is u(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -311*z**4 - 417049*z**3 - 186419115*z**2 - 27775648899*z + 178629246 = 0.\nAnswer: -447, 2\/311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4586098852 and 0.04809?\nAnswer: 4586098851.95191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-2) - 214*7. Let w = s + 2610. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3338 + 199*u**3 - 466 - 201*u**3.\nAnswer: -2*u**3 - 3804","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a + 25 = 4*d, -d - 5 = -4*a. Let v(o) = o**3 + 4*o**2 - 6*o - 1. Let x be v(-5). Suppose x*z + d = 5*z. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-224)\/(-21)*-18*9\/216.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*b - 5 = 1, 1 = -b. Does 23 divide 8 + -4 + w + 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and -65491113?\nAnswer: -2161206729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f**2 + 2*f + 6. Let q(l) = -17*l**2 + 3*l + 14. Determine 7*j(m) - 3*q(m).\nAnswer: -12*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b\/((b\/(b*b**(-3\/29)))\/b))\/b))\/b**(-2\/67)*(b\/(b\/b**(-5\/9))*b)**9 assuming b is positive.\nAnswer: b**(6088\/1943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((1*sqrt(152) + sqrt(152))*-2 + sqrt(152))\/sqrt(8) + -2) + -2)*-1.\nAnswer: 14 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -239 smaller than -713\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416582389 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18327 (base 10) to base 4\nAnswer: 10132113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - ((-84)\/((-12)\/(-3)) - -2). Suppose -4*g + q = 2*k, g - 3 = -5*k + 4*g. Suppose -h = 4*c - 143, -68 - 276 = -k*h + 5*c. List the prime factors of h.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**3 - 600*v**2 - 4560*v - 8960 = 0. What is v?\nAnswer: -112, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-146004)\/(-9108) + (-1)\/33.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -268763*d + 268798. Give x(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**3 - 5429631*q**2 - 2456743781160*q - 2456738351532 = 0.\nAnswer: -904938, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -12222*y - 36678. What is p(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, o: 1, c: 1, i: 1, k: 1}. What is prob of sequence rcrk?\nAnswer: 7\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(96) - sqrt(96)*4*6)\/(-1*sqrt(27)))**2.\nAnswer: 423200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 o, and 2 f when four letters picked without replacement from vvvovfvvoffvfvovooo?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 48*s**2 + 2*s + 3. Let t(i) = i + 6. Let f be t(-8). Is m(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26285 is divided by 140?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21 + (-24)\/(-10)*(-100)\/(-60). Solve 132*c - x = 127*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 67*u + 57*u = 27, 10 = -4*v - 2*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786201433.\nAnswer: 23, 1697, 20143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.5 times 18.1059\nAnswer: 63.37065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 70*d + 3*d**2 - 70*d - 11*d**3.\nAnswer: -11*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94141 is divided by 98?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415568539?\nAnswer: 61, 137, 49727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18092?\nAnswer: 2, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000158956065 to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3352504*t**2 + 6705004*t**2 + 7 + 23 - 3352495*t**2 - 8.\nAnswer: 5*t**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29, 1039\/2, 4 in ascending order.\nAnswer: -2\/29, 4, 1039\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q. Let b(r) be the first derivative of 0*r + 7\/2*r**2 + 20. Give h(b(y)).\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/1409 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0, -1\/3, 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -476, -0.1, 2\/13, 23\/217?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/479292 and 19\/44?\nAnswer: 479292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 10*p + 21. Let l be 1*(4\/1 + -29). Let u = 36 + l. Let g(j) be the first derivative of j**2 + 4*j - 1. Determine u*g(y) - 2*q(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(351)\/(-3*sqrt(1296)))\/(3*(sqrt(27) + sqrt(243)\/sqrt(441) + sqrt(27))).\nAnswer: -7*sqrt(13)\/1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12009 + 7219. What is p rounded to the nearest one hundred?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -2515211424?\nAnswer: -2515211431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120277, -7, -1 in decreasing order.\nAnswer: 120277, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4.2. Let o = -0.3 - 0.2. Which is the second biggest value? (a) m (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 - 32*y + 7. Let o be t(11). Let s be -5*(-1 + (-20)\/o*-1). Which is the fourth smallest value? (a) 2\/19 (b) 0.2 (c) 4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 538 = -2*o, 0 = -5*o + g - 43 + 1443. Calculate the common denominator of o\/12 - (-2)\/(-4) and 2\/(-8) - (-137)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*o**2 + 6*o**2 - 463 + 11*o**2 - 36*o**2 - 6*o**3 + 125 + 3*o to r + z*o + x*o**2 + i*o**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**4\/6 + 506*l**3 - 576081*l**2 + 850*l. Let v(m) = 0. What is m?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*u - 3*u + 3*g, -4*u - g = 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27281 is divided by 2089?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 16495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 17*i - 3. Suppose -655 - 241 = 56*l. Calculate t(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-4*b**2 + 2*b**2 + b**2) - 176*b + 1560*b**2 + 387*b + 5 - 209*b.\nAnswer: 1561*b**2 + 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -16 - ((-2750)\/(-15))\/(-11). Let p = 0.7 - -0.3. Which is the biggest value? (a) 4 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27188\/(-5))\/((-2770)\/250 + 11). What is c rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(180) + 1 + -1 + 0)**2 + 2.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 724, 1462, 2210, 2974, 3760?\nAnswer: 4574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4868 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2460878852*d - 4921760711*d + 2460881858*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12275612 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/(-42))\/((-6)\/6 + (-4)\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4\/7, -0.1, 5\/2, -4, 18.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puuuppupuuupupuuuqu. What is prob of picking 1 p and 1 u?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) + 1*sqrt(2268) - sqrt(35)\/(-5*sqrt(20)\/sqrt(4)))**2.\nAnswer: 229327\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**7\/14 + 7*y**5\/60 + 4*y**3\/3 - 16*y**2 + 3. Find the third derivative of s(j) wrt j.\nAnswer: -360*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-30)\/(-9))\/(-4*(-4)\/672)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i**2 + 0*i**2 + 18*i**2 + 12*i**2 + i in the form l*i + k*i**2 + s and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111111100110100101 + -100100000?\nAnswer: -1100111111101011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16213270.\nAnswer: 2, 5, 19, 85333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k - 10 = 0. Is (-1 - k) + 30\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 17*j = 13*j + 36, 5*a + 13 = -3*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24*1 - (5 - 4). Let t = 54 - f. What is the remainder when t is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127031813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + -239. Let d = q + 302. Which is the nearest to -3? (a) -2 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1369\/3 - 74\/3*y - 1\/3*y**2.\nAnswer: -(y + 37)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 + 30 = 0. Let n = b - -17. Let s = 13 + n. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvkmgmggggdwkgmg. What is prob of sequence mkw?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 159*v - 321*v + 0 + 102*v**2 + 2 - 14 + 174*v. Let h(x) = 41*x**2 + 5*x - 5. What is 5*b(q) - 12*h(q)?\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 = -5*u + 57. Let a be (-40)\/(-18) + 12\/u. Solve -d + a = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 103 + 25 + 5844*i + 25 - 153 as v*i + l and give v.\nAnswer: 5844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-4 - (-15 + 17))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1158*z - 1162*z = 8. Let f be 4\/((-8)\/(-10))*-1. Let v be (4\/f)\/(z\/10). Solve -v*w + 12 = -0*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 6 = -3*v, -m + 14906*v + 2 = 14907*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -7*f**3\/2 - 15*f**2\/2 - 21*f. Let u = 50 - 72. Is a(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 3*x**2 - 5*x - 232*x**3 + 2*x**2 + 241*x**3 + 5*x as g + m*x**3 + i*x + u*x**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -37*y**3 + 36*y**2 + 2*y - 2. Let q(c) = 63*c**3 - 71*c**2 - 4*c + 3. Calculate -7*d(z) - 4*q(z).\nAnswer: 7*z**3 + 32*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*n - 4, 2*t = 3*t + 5*n - 17. Suppose 0 = -p + 5*q, 2*p - 4 - 8 = -t*q. Suppose 8 = -4*v + p*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4506866204?\nAnswer: 2, 499, 2257949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**2 - 10522*l - 11239. Let d(k) = 3*k**2 + 5256*k + 5619. Let x(j) = -5*d(j) - 2*z(j). What is the first derivative of x(v) wrt v?\nAnswer: -2*v - 5236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**3 - 3242*t - 4083 wrt t?\nAnswer: 3*t**2 - 3242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*p + 3 - 3)*(0*p + 4*p - 2*p) - p + p - 2*p**2 + p**2 - 3 + 3)*(418*p + 71*p + 285563 - p**3 - 285565).\nAnswer: -3*p**5 + 1467*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 = -5*h, -64 = 4*l - 7*l + 5*h. Calculate the least common multiple of 21 and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/5 + 18515662*j\/5 = 0. What is j?\nAnswer: -9257831, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2. Let t(x) = 10*x**2 - 3*x**2 - 7*x**2 - 8*x**2. What is d(t(l))?\nAnswer: 320*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5610 (base 7) in base 13?\nAnswer: -bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -403.91184 rounded to one decimal place?\nAnswer: -403.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9*l = 0. Suppose -5*d + 4*v + 23 = l, -7 = 3*d - 3*v - 22. Solve -1 + 7 = -d*r + n, 0 = -3*r + 5*n - 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 255 = m, 1026 = 4*m - 0*m - 2*t. Suppose 21*n + m = 488. Solve n*j = 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/345*(-66)\/(-4)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2648 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1703 - 2717 = -442*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + z. Let w(g) = g**3 + g**2 + g + 1. Let v = -40 + 42. Suppose s - 3*c = -16, 2*c - 3 = -v*s + c. Calculate s*w(q) + l(q).\nAnswer: -q**3 + q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1366 - 4109 + 7*w + 1373 + 1369. Let i(a) = 127*a**2. Give q(i(c)).\nAnswer: 889*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -6. Let r = -2 - i. What is the third derivative of r*m**3 + 1 - 2*m**2 - 1 wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*84\/(-315)*(-6)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/3)*l**(-6)*l*l)**21 assuming l is positive.\nAnswer: l**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**5\/60 + j**4\/24 + j**3\/3 + j**2 - 8. Let x(a) be the second derivative of s(a). Factor x(o).\nAnswer: -(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-14357.\nAnswer: 10049.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -1124523?\nAnswer: 1124526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -48. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 5*y**2 - 189*y**3 - 6*y - 2*y**4 + 183*y**3 as d*y**2 + c*y + g*y**4 + b*y**3 + f and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 + 2 - 3 + 2*q**2 - 4*q**3 + (-5 + 3 + 13)*(-2*q**3 + 2 - 2) to b + l*q + g*q**2 + c*q**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -69*c - 20. Suppose -2*d + d - 16 = f, 0 = 4*f - 5*d + 37. Is n(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -14*(0 - (1 - 3)) + -2. Let j = i - -37. Factor 27*x**3 - j*x**3 + 88*x**2 + 62*x - 40 - 130*x.\nAnswer: 4*(x - 1)*(x + 5)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/78 + (-1 - (-11)\/13). Sort 14, 3, 2, k in decreasing order.\nAnswer: 14, 3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -544.1477071 rounded to the nearest integer?\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1100 + -618. Let -y**5 - 4*y**5 - o*y**4 + 477*y**4 = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17362 rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -541*k + 173. Let m(q) = q. Give i(m(v)).\nAnswer: -541*v + 173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(1088))**2*4 + ((sqrt(1088) + -2 + sqrt(1088) + 5 + sqrt(1088))*6)**2.\nAnswer: 5184*sqrt(17) + 370244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, o: 2, c: 1, t: 3, q: 1}. What is prob of sequence oqyy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + 6*t**2 - 3*t**3 - 8 + 4*t**3 + 5*t. List the prime factors of x(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 577 (base 10) to base 6.\nAnswer: 2401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 372\/310 + 7\/(-35). Let g = 1109\/11 - 101. Does q = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p**2 + 4. Suppose -943*d + 1670*d - 836*d - 218 = 0. Let z(a) = -7*a**2 + 9. Let h(u) = 1. Let k(t) = 6*h(t) - z(t). Determine d*f(y) - 3*k(y).\nAnswer: -5*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*y - 169*y - 19395 = -757 + 2026 for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 33.7. What is the closest to -1 in -5, b, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 235704 and 79695.\nAnswer: 38891160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.15, -0.07, 1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2797284 months to decades.\nAnswer: 0.00233107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {w: 3, k: 17}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*p + 3058, -3*p = 37*i - 36*i - 3082. What are the prime factors of i?\nAnswer: 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 65612330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*b - 18617 = -23515 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/117*3)\/(-1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 434 - 8248\/19. Which is the closest to -0.1? (a) -5 (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/(-8) - 4)*-2. Suppose f + 33 = 4*f. Let j = f + p. Calculate the least common multiple of j and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1712 + -1716.25. Let n = -3.086 - -0.266. Let p = n - g. Round p to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -45*v - 248. Let o(u) = -88*u - 495. Let h(m) = 4*o(m) - 7*q(m). What is the remainder when h(-8) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, d: 1, m: 1, y: 2, r: 2, k: 1}. What is prob of sequence mar?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131\/550 + -7\/22. What is the smallest value in -5, 1\/7, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 - 161*q**4 + 316*q**4 - 3*q + 2 + 3*q**3 + 4*q**2 - 156*q**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7 + -5.7. Let l = -0.5 - -0.3. What is the biggest value in l, a, -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -21*c**2 - 4*c + 9. Let g(x) = 20*x**2 + 2*x - 8. Calculate -6*g(p) - 5*v(p).\nAnswer: -15*p**2 + 8*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3306 (base 8) in base 4?\nAnswer: -123012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 945 and 1050.\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggn when three letters picked without replacement from {n: 2, g: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868895334.\nAnswer: 2, 3, 23, 2098781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 7:15 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/12 - 1)*0. Let r be 243\/(-6)*(3 - 17\/3). Let z = r + -106. Solve z*c + q = -8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 937342781 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + -1*-1*sqrt(114))\/(-3*sqrt(54)))**2 - ((-1*-2*sqrt(209))\/(4*sqrt(11)*-2))**2.\nAnswer: -323\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 157*q - 294. Let z be r(0). Which is smaller: z or -1476\/5?\nAnswer: -1476\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2151749 bigger than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 261, 2 in increasing order.\nAnswer: -2, 2, 3, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 79 = -4*b - 14*j, 0 = 3*b + 5*j - 58. Calculate the least common multiple of 1383 and b.\nAnswer: 9681","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 19.2. Let n be (152\/(-20) - -8) + 3327\/20. Let o = n - 166. Is d less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10473426 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**6\/20 + b**5\/40 - b**4\/8 - b**3\/12 - 11*b + 14. Let i(z) be the first derivative of q(z). Factor i(c).\nAnswer: c*(c - 1)*(c + 1)*(3*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 142, 133, 72, -41?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 2*g + 155. Suppose -3*t + 3*c = 0, 0 = -5*t - 0*t - 3*c - g. Let k(m) = m**3 - 2*m + 22. Let b be k(0). Sort 4, b, t in increasing order.\nAnswer: t, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -27*v**2 - 5*v + 5. Let y(q) = q**2 + q - 1. Let m = 414 - 415. What is m*c(j) - 5*y(j)?\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-two ninths of a week?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**5\/13 - 12*q**4 + 746*q**3\/13 - 1176*q**2\/13 + 584*q\/13 = 0.\nAnswer: 0, 1, 2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*q + 59 + 43 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 5) to base 11\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -120019.6 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 + 33*i - 665*i - 54*i + 3 - 111*i**2 wrt i?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97974, 391979, 882020, 1568091, 2450186, 3528299, 4802424?\nAnswer: 6272555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 + (-2816)\/(-110))*(281\/(-6) - 84\/126)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i - 1. Let p(b) = 14*b - 2. What is 2*p(f) - 7*z(f)?\nAnswer: -7*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/3012 and -101\/18?\nAnswer: 9036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5378567997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 30 + 57. Let o be z\/22 - 4\/22. Let y = -3 - -4. Which is the nearest to y? (a) -0.2 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 - 69 - 29)*(0*v - v + 3*v)*(-56 + 34 + 29) as a*v + s and give a.\nAnswer: -1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 34, -5\/13 in descending order.\nAnswer: 34, 2, -5\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4*m - 14 = 0, 3 = 3*r + m + 2*m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (-2*2)\/2. Let s = 22 + i. Suppose 5*h + 26 = r, 2*r + h = 6*r - 47. What is the remainder when s is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161044 + 161044 + 3893*z.\nAnswer: 3893*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 1 + 1.\nAnswer: 2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (29106\/440)\/63*(-7)\/(-98)\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*q + 76 - 14 = 0, -119 = -2*y + q. Let a be 2\/(-8) - (-255)\/y. Suppose -c + a*c = 171. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9142)\/(-24))\/((-99)\/459). Let b = a + 1766. Calculate the common denominator of -139\/12 and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 114475434?\nAnswer: -114475431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -0.43192244067821?\nAnswer: 0.43192244067821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2225\/3 or -742?\nAnswer: -2225\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74189 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 0*c + 0*c)*(3 - 2 + 1) - 7 + c + 7 to the form m + s*c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 2, -5\/6, -4\/5 in descending order.\nAnswer: 2, -0.01, -4\/5, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 5*z - 19, -n - 18*z - 5 = -19*z for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1980)\/(-220)*(-64)\/24.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 3:57 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 = -7. Sort 4, j, -2 in ascending order.\nAnswer: -2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4022 + 2330?\nAnswer: -1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -358 + 4650\/13. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 38) + 1058444\/27203 - (-52)\/451?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66044.1 rounded to the nearest one hundred?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 - -16) + 26 + 100?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11859.2713 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -4*n**6 + 132\/5*n**5 + 207\/4*n**2 - 267\/8*n**4 - 27\/2*n - 115\/2*n**3 + 29. Find r such that p(r) = 0.\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 5, t: 5}. Give prob of sequence xxt.\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3024)\/288)\/(3*2*1\/(-2))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (16 - 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270652737 to the power of 1\/2, to the nearest integer?\nAnswer: 35646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 615 - 3077\/5. What is the smallest value in -3, 4, 0.03, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -116*z - 1279. Let l be g(-11). Let c(q) = -6*q - 7. Let n(w) = 5*w + 7. Calculate l*c(y) - 4*n(y).\nAnswer: -2*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (((sqrt(272) + 3 + sqrt(272))*-3 + -2)*6 + 3)*1)**2.\nAnswer: 18144*sqrt(17) + 356481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31\/149 - 5656\/745. What is the common denominator of t and -1 + 1 - 31\/114?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490574.\nAnswer: 2, 7, 67, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 d, and 1 h when four letters picked without replacement from gvzvhvdhzh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 8*l + 7. Let h be z(-7). Suppose h*o = -o. Suppose 3*n - 7*n + k + 21 = 0, 4*k + 28 = 2*n. Solve o = -n*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 23.8, 0, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of -4 - (-42 + 2 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167746 + 3*j**2 - 167746.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3419920 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9544 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r - 37*r + 66 = -156 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13675723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 1 - c**2 + 1. Let v(s) = -6*s + 5*s**2 + 9*s + 10*s. What is -18*j(o) - 4*v(o)?\nAnswer: -2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 684 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.06.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13004 (base 7) to base 11\nAnswer: -2642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lccccccclamamcmc. What is prob of picking 1 l, 1 m, and 1 a?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153 by -84327.\nAnswer: -51\/28109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 1 + 4 - 7 + 4 + 22*n to the form a*n + g and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2246981 is divided by 1596.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -89368 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261 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: Three letters picked without replacement from yzcudzmddm. Give prob of sequence czu.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 2*l**4 - 4*l**3 - 3 - 1 + 4.\nAnswer: 2*l**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1 - -1) + 8. Solve -2*z + u = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 428*g**2 - 2574*g - 4. Give f(6).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:03 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.8449 + -5.7926. Let p = -2.921 + s. What is p rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -47*l**3 + 147*l**2 - 3*l - 9. What is d(4)?\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 3)*(1 - 1 - w)*(3*w - 3*w - w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 0.687 (c) 2\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -19. Let b = c + 12. What is the second derivative of -5*a - a + b*a + 2*a + 2*a**4 wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 124325, 248592, 372863, 497138, 621417, 745700?\n\"Answer: 2*h**2 + 124261*h + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 23*x**3 + x - 8*x**3 - 453 - 7.\nAnswer: 15*x**3 + x - 534","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -1*sqrt(77))*1 - -5*(sqrt(77) + sqrt(77)*3))\/((sqrt(1331)*2 - sqrt(1331)) + -3*sqrt(33)\/sqrt(3)).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 0.042 (c) 6 (d) -2\/3 (e) 13\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 6*y + 2. Let g(o) = 7*o**2 - 3*o - 3. Let a(c) = 10*c**2 - 4*c - 4. Let b(i) = 5*a(i) - 7*g(i). Calculate 2*b(w) - f(w).\nAnswer: w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 1\/2*j**3 - 4*j**2 + 0 + 0*j**4 + 0*j + 1\/30*j**5. What is the derivative of u(n) wrt n?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + j - 4 = 0, 5*p + 0*j + j = -14. Which is the biggest value? (a) -0.1 (b) 1\/38 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 23*s + 450. Let z be ((-832)\/s)\/2 - 24\/180. Which is the third smallest value? (a) z (b) -0.2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -239*i - 4937. Give d(-25).\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuftfsxfwuf. What is prob of picking 1 t, 1 s, and 1 u?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111110 (base 2) in base 7?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-748)*1*-1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2151 - -448.13?\nAnswer: -1702.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26942484 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - y + 1 - 11*y.\nAnswer: -10*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 553*z + 3550. Give l(-7).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 33 = 58. Suppose 166 = -c*n + 91. Let r = 244 + n. List the prime factors of r.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -4, -1, 2, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*l - 0. Let a(p) = p + 3. Let t be a(l). Let r(s) = -s**3 - 5*s**2 - 5*s - 7. Is r(t) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (-2 - (-1 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(1 + sqrt(1216)) - ((sqrt(1216) - 1*sqrt(1216)) + sqrt(1216))*-1)**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 245 = -3*y, 0 = 5*q - 3*q + 2*y - 122. Calculate the remainder when q is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/7 - 300\/(-14).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4076 is divided by 934.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = m + 11, 4*g - 4*m - 2551 + 2503 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4228, -4212, -4178, -4120, -4032, -3908?\nAnswer: -3742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -7.5. Suppose 0 = 5*g - 7 - 3. Let v be 12\/(-18) - g\/(-4). What is the third biggest value in z, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*v, 0*h - 2*h + 2*v - 4 = 0. Let d be -30*2*10\/h. Round d to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbqrbbrqrrbbrbrqr. What is prob of sequence bqq?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*a = -5757. Let g be (-152590)\/5*(-6)\/96. Let b = a - g. Find the common denominator of 28\/9 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780*t - 318 = -786*t. Is t less than 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-2)\/(-36)*(-41796)\/(-5418).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8735*q**3 - 26218*q**3 + 57*q**2 + 8744*q**3 + 8738*q**3 + 68*q**2.\nAnswer: -q**3 + 125*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54.77 - -55. Let m = s + 6.77. Let h = m - 7.00105. Round h to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -30*b + 127. Let v be g(4). Solve v*a + 24 = 15*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -1*(-1 + sqrt(19)) + sqrt(19))**2 + (sqrt(19)*3)**2*-4 + ((sqrt(228)*-1)\/sqrt(12) + sqrt(931) + 2)**2 + 1.\nAnswer: 25 + 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(sqrt(252) - (sqrt(252) + -2 + 2)**2).\nAnswer: -1511 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7714963 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 9:47 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 6. Let q be (26\/i)\/((-1)\/(-2)). Let c = -6 + q. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -70. Let b be (4 + (-132)\/32)\/(1*-2). What is the nearest to 0 in 0, b, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q - 19 = -5*w, 0 = 4*q - 8. Suppose w*f = 3*f - 38. What is the remainder when 65 is divided by -3 - f - (-2)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 0*h - h)*(1 + 7 + 0)*(-5*h**3 + h**3 - 6*h**3) + 0*h**3 - 2*h**4 + 0*h**3 in the form d*h**3 + b*h**4 + m*h**2 + w*h + z and give b.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158027411.\nAnswer: 23, 6870757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26 + 29846?\nAnswer: 29820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2520)\/(-243))\/(-2)*15\/(-10). Factor -8\/9 + 16\/3*q - a*q**2.\nAnswer: -2*(5*q - 2)*(7*q - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.552246mg in kilograms?\nAnswer: 0.000000552246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b4 + a46b91?\nAnswer: a47085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -2) + 2 + (237 - 226)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/146370 and 28\/41395.\nAnswer: 71282190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 156\/38 + 82\/(-779). Solve m*z - 36 = 4*n, z - 5*n + 1 = 26 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - -8.2. Let a = x - 9. Let q = 1.9 + -2. Is q less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 11869618758.76.\nAnswer: 11869618762.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1219\/1217 - (-3 + 4). Let m = f + 3611\/24340. Let x = 6\/5 + -9\/20. What is the common denominator of x and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/47)\/a*a*a)\/a*a**(-3\/2) assuming a is positive.\nAnswer: a**(-137\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276255 is divided by 69058?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**3 - 3 + 3 - 2*s**3 + s**3 + 3*s**3 - 2*s + s**3 + 2*s + (-3*s + 3*s + s**2)*(s + 4 - 4) + (-4*s - 20*s + s)*(0 + 0 + s**2).\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.138 - -722.862. Let z = -722.999507 + k. Round z to five dps.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 152746*s**4 + 40*s - 40172803 wrt s?\nAnswer: 610984*s**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 18571094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*s - 25 - 27 = 0, 0 = -3*l + 5*s + 49. Solve 0 = 4*c - 9*w + 4*w - l, 5*w = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3455485, -6910975, -10366465, -13821955, -17277445, -20732935?\n\"Answer: -3455490*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -198*w + 199*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**7\/10 + 11*s**6\/75 - 11*s**5\/50 - 2*s**4\/5 + s**3\/30 + s**2\/5 - 2*s. Find b, given that i(b) = 0.\nAnswer: -1, -1\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**(1\/2)\/(r**4)**(-2\/5) assuming r is positive.\nAnswer: r**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g - 1. Let w be p(2). Calculate the highest common divisor of w and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 925 = 19*s. Suppose v - 63 = 5*w, -3*w + 4*w - 45 = -v. Calculate the remainder when v is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/300337 and 31\/12.\nAnswer: 3604044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/6 + 37*m**3\/6 + 13*m**2 + m - 1. Calculate the remainder when i(16) is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -111001011 (base 2) in base 6?\nAnswer: -2043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4)*v)**0)**(-2\/5)\/(v**(-1)*(v\/(v*v**8))\/v*(v**(-1\/2))**(6\/17)) assuming v is positive.\nAnswer: v**(173\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 10*s**2 - 3*s**2 - 2*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) -3\/79 (c) 1\/41 (d) 2 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53292 and 780?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 0)*630\/4. Let j be -12 + 702\/63 + 37601\/119. Let o = n + j. What is the closest to 0.1 in -4, o, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.122807 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 971717836 divided by 4\nAnswer: 242929459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 814787*d**3 - 10570331*d wrt d?\nAnswer: 4888722*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**3 - 20*o**3 - 13*o**3 - 11*o**3.\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/20 + (-264)\/(-240).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 55*x**2 + 5672*x - 323670. Calculate a(61).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*l**3 - 14*l + 484.\nAnswer: -33*l**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12381011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3598310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1544*s - 10783. Give o(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + -4.04. Let f = l + 4. Let o(d) = d**3. Let m be o(1). Which is the smallest value? (a) f (b) -2\/17 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (581 + -1 - -4)*(-525)\/4200?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.878881mg in micrograms?\nAnswer: 6878.881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.0161417\nAnswer: -0.0161417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - sqrt(209)*-5*-1)\/(sqrt(22)\/(sqrt(2)*-4)).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 291417 to the power of 1\/2, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -10*(2 + 22\/(-4))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 30, 0, 3 in decreasing order.\nAnswer: 30, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v + 56. Does 12 divide r(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*z + 725*z**3 - 18*z + z**2 + 19 - 1437*z**3 + 714*z**3 as i*z**2 + h + x*z + o*z**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/184174 and 89\/4?\nAnswer: 368348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 598373183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -96, -255, -560, -1059, -1800, -2831?\nAnswer: -4200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*y**2 + 0 + 1\/4*y - 1\/4*y**4 - 1\/4*y**3.\nAnswer: -y*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 996, 1989, 2982, 3975, 4968, 5961?\n\"Answer: 993*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3001755979?\nAnswer: 241, 12455419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 5:10 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y = 45*y + 4*h - 12, 0 = -3*y + 3*h + 33. Suppose 0*n - 2*n = -6. Solve -r - y = -n*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8160 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*r - 2*g + 3, -40 = -4*r - 5*g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4))**(-3\/16))**50 assuming t is positive.\nAnswer: t**(75\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) - (-166)\/60. Let t = l - 5\/2. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 9*s - 7. Let n be t(-8). Do n and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 637*m**2 + 33 - 97 + 65 to k*m + d + r*m**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 - 3*p**2 - 20*p - 43. Is h(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437634.\nAnswer: 2, 11, 101, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w + 620. What is the remainder when w is divided by (-2)\/(-4)*(35 - (6 - 156\/12))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10740263 + -6157016. Let o be 383247 - 0\/(-7 + 3). Let c = t - o. Round c to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 3:50 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 18 = 4*l - 2*r, 2*r + 7 = l. Suppose 2*s = -l*s + 56. Solve 2*c = 4*c - s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91838414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 3. Suppose -5*w + w + 26 = 2*l, -3*w + 32 = 4*l. Let b(t) = 3*t - 7 + 5 - l. Give 4*b(s) + 10*r(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/56 + 281\/4200. Let d(w) be the second derivative of y*w**6 + 9*w - 2\/15*w**4 + 0 + 1\/25*w**5 - 2\/15*w**3 + 3\/5*w**2. Factor d(z).\nAnswer: 2*(z - 1)**2*(z + 1)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913067?\nAnswer: 913067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 730*w + 1447. Calculate h(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 - 3910\/(-7140)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b0b312 - 4?\nAnswer: -3b0b316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(315)*2*-4 - (sqrt(315)*-1 + sqrt(315))*-4)\/(-5*1*sqrt(1008) - sqrt(1008) - sqrt(1008)).\nAnswer: -10*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*n + n**4 + 99*n - 46*n - 3*n**2 - n**3 to u*n**3 + a*n**4 + i + l*n**2 + x*n and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -92, -3, 1, -3158 in decreasing order.\nAnswer: 1, 4\/7, -3, -92, -3158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*((-5394)\/(-62))\/522?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27525 + 27427 + -58 + 2?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1658*d = -1673*d + 75. Which is the nearest to -3\/7? (a) d (b) 68 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -24*w**2 - 14. Let y(t) be the second derivative of -5*t**4\/12 - 3*t**2\/2 + t. Let v = -38207 - -38221. Determine v*y(n) - 3*z(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 23348318 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: What is the value of (-48 - -7) + -4 + -4 + (3 - 8)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -955*s**2*v - 48907*s**2 + 2*s - 29*v + 7245 wrt s.\nAnswer: -1910*v - 97814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 185 = 33*v. Let u = 188 - v. Find r such that 0*r + 0*r**2 - 3\/4*r**u + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**3 + 21*o**2 - 3*o - 21. Let z be n(-4). What is the greatest common factor of 10661 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -603 divided by 919?\nAnswer: -603\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 240.9 - 240. What is the biggest value in 0.5, r, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 731*a + 732*a = 2*v + 79, -64 = 4*v - a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1336, -2\/21, -0.4, -1\/3, -28 in decreasing order.\nAnswer: -2\/21, -1\/3, -0.4, -28, -1336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 985 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -147272854+161\nAnswer: -147272693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 11 - (7 + -14).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 9. Suppose -c*r + 11*r = 16. Solve 4*m - 20 = -r*h, 0 = -m - 4*h + 6 + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z**5\/5 - 358*z**4\/5 - 1398*z**3\/5 + 1534*z**2 - 7668*z\/5 + 352 = 0 for z.\nAnswer: -55, -8, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c**4 - 6 + 6 + (4*c + 3*c - 4*c)*(-2*c**3 - 3*c**3 + 4*c**3).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, 4, -3, -6, -4, 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/2))\/a**(-13) assuming a is positive.\nAnswer: a**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.93 + -0.07. What is the smallest value in 2\/5, -16, r, 0.3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -5*z**2\/2 + 27*z - 185. Let q(w) = 3*w**2 + 6*w - 7. Calculate the lowest common multiple of q(-5) and j(3).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 960*l**2 - 10*l + 14. Let d(p) = 1440*p**2 - 14*p + 20. Give -5*d(x) + 7*f(x).\nAnswer: -480*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7702668, 15405335, 23108002?\nAnswer: 30810669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1380\/391*68\/8\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 366738 and 1866?\nAnswer: 114055518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/5340 and 187\/2220.\nAnswer: 197580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) -4 (c) 837 (d) -5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 967.2266 years in decades?\nAnswer: 96.72266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:15 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/2, 2\/7 in decreasing order.\nAnswer: 2, 2\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217553.2 rounded to the nearest one thousand?\nAnswer: 1218000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 14*u**2 - 8. Let p = 128 - 120. Let r(s) be the third derivative of -s**5\/12 + s**3\/2 + s**2. Suppose -v = -4 + 1. Determine p*r(b) + v*j(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*v + 11 = -12, 0 = -5*p - 5*v + 5. Suppose 3*u + 2*l - 6 = 8*u, -4*u - 16 = p*l. What is the nearest to 1.4 in 2, -4\/9, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22150 and 5154305?\nAnswer: 51543050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, x: 1, m: 1, j: 2, e: 2}. Give prob of sequence mj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 - 4 = 0. Suppose -2*h = -2*n - q, 8 = -5*n + 28. Differentiate -402 + 406 + 10*i + h*i wrt i.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**5\/10 - 217*l**4\/10 + 2747*l**3\/10 + 7557*l**2\/10 + 28*l - 2158\/5 = 0.\nAnswer: -83, -2, -1, 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9271.008 centimeters to nanometers.\nAnswer: 92710080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (144\/(-45) - -6)\/((-22)\/(-55))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 14*q - 11. Let j be z(-10). Solve -9 = 5*w - j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(102)\/sqrt(2))\/sqrt(3))**2 + -5 + 0 + sqrt(17)) + -5.\nAnswer: -41 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204001 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 9*s**4 - 4*s**4 + 2 + 7*s**4 - 2*s**2 to f*s**2 + h*s**3 + t*s**4 + r + a*s and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1913 - -8490. List the prime factors of g.\nAnswer: 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 9*y = 54 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 - 57 = 5*f. Solve 9*m - 60 = f*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*v - 778*v - 76*v = 438*v + 80181 for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + 0.84. Let m = q + -2. Let k = m - -0.14. Round k to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 i, and 1 q when three letters picked without replacement from eehiblqblqehqiihb.\nAnswer: 27\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5990 + -5980. Solve 1826*o - 1831*o - v = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34*(3\/(-3) + 3). Suppose -2*q - d = -q. Let m = -139\/2 - q. Is -3 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9549 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*j + 4 = 3*v, 3*v + 5*j = -5. Solve -f + v = -1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 15. Let v be b(-7). Suppose 0 = -3*s - 4*c - 2, -2*s = 3*s - 4*c + 14. What are the prime factors of 108\/v*2*s\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12698 * 4476\nAnswer: 56836248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99168297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 1776.\nAnswer: 23088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y + 6 - 6. Suppose r - 16*r + 660 = y. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1680 divided by -35\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17470 rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 559890871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + p**2 + p + 4. Let i be a(0). Suppose -10 = 5*j, -1 = 3*g + i*j - 2. Solve 12 = -0*x + g*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/29 + -34\/87. Which is the biggest value? (a) 0 (b) -1 (c) -2\/7 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*sqrt(40))\/sqrt(8))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -10. Suppose -j*l = -l. Let w = -36\/323 + 1\/17. Does l = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1620 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v = -4*v - 28 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 27 - 54. Suppose -3*w = y*m - 15018, -m - 3*w + 20025 = 3*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -7. Let a be b + (0 - (-1 - 2)). Let t = a + -2. Solve 5*o = -5*n, -o = t*n + 3*o + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + -1 + (2 + sqrt(405) - sqrt(405)))*6*-4*5 + 3)**2.\nAnswer: 168480*sqrt(5) + 2605689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-476207)\/17692 - 15\/20. Let k = -2\/13269 - v. Calculate the common denominator of 21\/37 and k.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22689, -21646, -20603, -19560?\n\"Answer: 1043*r - 23732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.272 rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 192413 - 46327. What is s rounded to the nearest 1000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00661243302 + -0.35\nAnswer: -0.35661243302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-1)\/((-4)\/(-20)). Let w(p) be the first derivative of 0*p + 0*p**2 - 1\/5*p**t + 2\/3*p**3 + 0*p**4 + 2. What is the third derivative of w(z) wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/4)\/(4\/8*-1). Let f be y + -2 - 33\/15. Factor 2\/5*w - f*w**2 - 2\/5*w**3 + 4\/5.\nAnswer: -2*(w - 1)*(w + 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 18. What is the closest to 1 in 2, -3, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from nnhnnnnhhhnnnnnnnnnn.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, w: 5}. What is prob of picking 4 w?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 58777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1814, 1877, 1940?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113\/15 < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooqqqqqoq. What is prob of sequence oq?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 = -5*y, -4*u + 6*u = 2*y + 2. Let d = -1 - -2. Solve 0 = -u*g - d + 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11210092\/21 - -1612909\/3. Let o = 3814 - f. Find the common denominator of o and 1\/4 - (-227)\/(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.62 + -2.620303. Round x to 5 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23854 + 34004. Is c a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.1, -0.5, 2144\/21 in ascending order.\nAnswer: -0.5, -0.1, 0.5, 2144\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(-4)*g)\/g*g\/g**(-3))**29 assuming g is positive.\nAnswer: g**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -144 - (-6)\/(144\/132)*(8 - (-10 + 16))?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**3 - y**2 - y + 2. Let p be ((-2)\/(-4))\/(2\/80). Suppose -f = -5*m + f - 18, 0 = 4*m - 3*f + p. Let t be l(m). Round t to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2522 is divided by 1241?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-539)*7)\/((-6)\/(-21))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345687.89 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4903769, -4903761, -4903753?\n\"Answer: 8*s - 4903777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-2 - -7) + -1 + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49*((-192)\/(-28))\/4?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + t**4)*(261 + 12 + 110).\nAnswer: 383*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 1, k: 1, u: 3, d: 1}. Give prob of picking 1 u and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a73352 (base 11) in base 7?\nAnswer: 41440633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000409645 rounded to 6 dps?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35)\/(-5) + -6 + -12. Let u(c) = 6*c**2 - 7*c + 15. Let h(n) = -n + 1. Let m(t) = -4*h(t) + u(t). Let r(l) = 2*l**2 - l + 4. Give s*r(g) + 4*m(g).\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26059 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 0 - p - 2 + (-8*p + 31*p + 3*p)*(1 - 3 + 1) as s*p + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3274589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 14 = -2. Suppose b*r - 11 - 13 = 0. Solve -4 = 4*m + r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/132 and 67\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454177 is divided by 9891.\nAnswer: 9082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6507802 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*p - 58*p = 9. Suppose 2076 = p*k + 5*r, 5*k + 5*r - 3476 = 2*r. What is k rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -563606 + 1074?\nAnswer: -562512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 5118\/4909 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1555 divided by -1.\nAnswer: -1555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 6*f + 398. What is the remainder when q(0) is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -3. Let n(r) = r**2 - 13*r + 9. Let f be n(z). Let a = 16 + f. Let g(o) = 3*o + 2. Let y(q) = 2*q + 1. Calculate a*g(v) + 8*y(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -14 - 25. Solve -3*f + 0 = z + 11, -l*z = -f - 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 947.521 and -0.0147.\nAnswer: 947.5063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11127033 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00037131 to 5 dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5340788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8694375 or -113026884\/13?\nAnswer: -113026884\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21112111210121 (base 3) to base 5\nAnswer: 2011140314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18235, -18706, -19971, -22426, -26467, -32490, -40891, -52066?\nAnswer: -66411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6291781753.\nAnswer: 17, 79, 89, 52639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 12:45 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00053747319 rounded to 5 decimal places?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*h + 169, -2*h + 75 = 4*d - 71. Suppose -d = 9*l - 8. Let x(q) = 2*q + 6. Let w be x(l). Solve w = -2*t + 2 + 4, 15 = 5*b + 5*t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 108 = 3*x - 30, 2*x = 8. Calculate the remainder when p is divided by (-3)\/6*(-10 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = i - 4*h + 827, -823 = i - 4*h. Let y = i + 1604. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + -102. What is the remainder when f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052 times -7.86?\nAnswer: -0.40872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 + 9.2?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 3, k: 1, g: 2}. What is prob of sequence gk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 25*q**3 - 2*q**2 - 18*q**3 to a*q + k + g*q**2 + y*q**3 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p + 34*p = 529 + 221 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 4. Suppose -3*d = 5*s - 6*s + 3, 0 = -5*s - 4*d + 91. What is the least common multiple of (-3)\/a*2*70\/s and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 8:43 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 16*q**2 - 4*q + 1. Is f(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*g + 26*g - 53*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2598*w - 88689 = -1541*w + 97332 - 49434 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 8. Let u be (-51)\/7 + (-6)\/(-21). Let q be u\/(28\/(-8)) - -5. What is h(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 666?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 59*o**2 + 4*o - 4. Let r(h) = h**2 - h + 1. Give j(i) + 4*r(i).\nAnswer: 63*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 19 = -7. Suppose 8 = h*k + k. Suppose 0*w + 8 = w + 2*a, 4*w = -k*a + 32. Calculate the highest common factor of w and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, s: 3, d: 3}. What is prob of sequence ss?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.2. Let x(v) = -v**3 + 26*v**2 - 24*v - 23. Let t be x(25). Which is the closest to -0.5? (a) 4\/3 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -8*p**9\/21 + p**5\/60 - 41*p**4\/24 - 22*p**2. Find the third derivative of w(z) wrt z.\nAnswer: -23040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 11598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 1 - 3*h**2 - 2 - 7*h + 5*h**2. What is the remainder when a(6) is divided by (-26)\/(-6)*(-6)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*h + 43, 3*t + 4*h = -1 + 68. Is t - (-4 - 1\/(-1)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -44. Calculate the remainder when 130 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 37*n**2 + 83*n - 903. Give q(4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531004, -1062018, -1593050, -2124106, -2655192, -3186314, -3717478, -4248690?\nAnswer: -4779956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 9. Let z be 3\/(2 - 2\/m). Determine k, given that 0*k**z - 2*k**5 + 0*k**2 - 2*k**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -813*u + 814*u - 2. Solve -u*c - 4*g = -11 - 11, g + 5 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*x + d, 0 = 5*d - 0 + 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 - 2*o**2)*(-2 + 0 + 3) + 5 + 3*o - 5 - o**2.\nAnswer: -3*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from {f: 1, s: 1, r: 1, g: 1, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(3\/(-5))*3. Suppose 3*o = z*o - 12. Suppose o = 5*b + 2*l - 16, -3*l + 19 = 4*b. Solve -5*w = -2*g - 10, 3*g + b*w - w - 6 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/2)*u**(-3)*u\/(u\/(u\/u**(-5\/6))*u)*u*u*((u**(2\/19)\/u)\/u)\/u*u assuming u is positive.\nAnswer: u**(25\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17*d**2. Let g(j) = 90938*j. What is g(k(f))?\nAnswer: 1545946*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1201536 and 1468544.\nAnswer: 13216896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8082\/448 + (-6)\/(-14). Let i be (-10)\/(-128)*(-36 - -90). Let d = i - k. What is the common denominator of -51\/98 and d?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139438373*s**6 + 342977615*s**2.\nAnswer: 16732604760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 + -113. Solve 3*u = -m*w - 9, -w = u + 2 + 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241419266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:35 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -17. Suppose -i + 2*j + w = -0*i, i + 2*j = 7. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12286579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*z**4 + 1125*z**3 - 38*z**2 + 14358*z - 24.\nAnswer: 108*z**2 + 6750*z - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 51 = 2*f. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(612))**2 + sqrt(612).\nAnswer: -2448 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2441, -4859, -7267, -9659, -12029, -14371, -16679?\nAnswer: -18947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 4*k**3 - 1\/60*k**5 - 1\/6*k**4 + 1\/180*k**6 + 1 + 0*k**2 + 0*k. Let s(a) be the third derivative of u(a). Factor s(v).\nAnswer: 2*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in decades?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b + -1061?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 + 5*c. Let s(y) = 6*y. Calculate j(s(z)).\nAnswer: 144*z**2 + 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1 + 180 + -10 + 11. Suppose 6*w - 111 - r = 0. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 848 - 541. Suppose 5*g + c + c - 289 = 0, -5*g + 4*c + h = 0. Suppose 0 = -4*x - 0*m + 5*m + g, 2*m = x - 11. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/f**2)\/f)*f)**(-2\/11))**(1\/59) assuming f is positive.\nAnswer: f**(-8\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -89, -69, -29, 37, 135, 271?\n\"Answer: g**3 + 4*g**2 + g - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**2*w)*w*w)\/(w\/(w**0*w)))**(2\/155)*((w*w\/(w*w*w**4))\/w*w*w\/(w*(w**1*w)\/w))\/w**16 assuming w is positive.\nAnswer: w**(-3253\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is (-215328)\/(-1008) + -203 + 2\/42?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-2*d + 5*d - d)*((-4*d + 0*d + 5*d)*(-3 + 4 - 2) + 198*d - 100*d - 79*d).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) -2 (c) -15\/16 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1 - (-152)\/2)*1. What is t rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*d**2 - 22*d**3 + 27*d**2 + 33*d**3 in the form a*d + t*d**3 + w + q*d**2 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52512\/336 + (-1 - (-5)\/7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8780.068242 to the nearest one hundred.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -1 + 0*k**2 + 1\/120*k**6 + 1\/12*k**3 - 1\/40*k**5 - 2*k - 1\/48*k**4. Let q(n) be the first derivative of h(n). Factor q(o).\nAnswer: o*(o - 2)*(o - 1)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114286661, -228573325, -342859989?\nAnswer: -457146653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11926334810 - -1.15.\nAnswer: 11926334811.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 2*o**3 + 15*o**2 - 6*o**3 + o**3 + 104*o**2.\nAnswer: -2*o**3 + 119*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 364*a - 1392.\nAnswer: -4*(a - 87)*(a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 401953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4 + 8. Suppose 16 - 1 = -3*u. Let a be (-1 - -1) + u + 18. Solve -5*i + 6*l - 3*l + 23 = 0, 0 = q*i - l - a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -128, -33, 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1108989147*t**4 - 279697951*t + 2.\nAnswer: -13307869764*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 720264 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 1\/16 (c) -0.4 (d) 5 (e) 2\/9 (f) 10.7 (g) -423\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*w - m + 5, 2*m - 10 = 5*w. Let t = 2 + -1. Let c be -1 + t + -4 + 2. Sort -1, c, w.\nAnswer: c, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**27)\/o)*o)**(-22)\/(o**(1\/6))**(-34) assuming o is positive.\nAnswer: o**(1667\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6334 = -292*s + 5*s + 1168 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 9025110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18199987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -26*g**5\/11 + 91252*g**4\/11 + 393814*g**3\/11 - 864552*g**2\/11 + 379512*g\/11 = 0.\nAnswer: -6, 0, 9\/13, 1, 3514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 + 45 - d**2 - d**2 to the form p + x*d + h*d**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*k + 460 = -0*k, -5*i = -k - 1195. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55, -62, -85, -130, -203, -310?\n\"Answer: -h**3 - 2*h**2 + 6*h - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 26?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002336691 rounded to 6 decimal places?\nAnswer: -0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (113 - 104) + (1 - 22) + 23 + -17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 99*t. Let o(b) = 676*b. Calculate o(a(v)).\nAnswer: 66924*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 85 = -m - 12, -5*m + 53 = 2*f. Suppose 20*w + 3684 = f*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-228)\/190 + 104\/20. Solve 4*q + 13 = n, -3*n - g*q - 8 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9)**(-1\/23)*((b\/((b**(-2)*b)\/b))\/b)\/(b\/b**(3\/17)) assuming b is positive.\nAnswer: b**(307\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g\/g**(-2\/9)*g*g)\/g)*g*g**(-3\/5)*g)**(7\/4) assuming g is positive.\nAnswer: g**(-259\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/5 of a decade?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 71*j**2 - 221*j - 83. Let q be o(74). Put -1, -4, q, 3, 1 in decreasing order.\nAnswer: 3, 1, -1, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 1 = -q, -4*q + 5*k - 10 - 7 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*(-14 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 18*f**3 - 2*f + 14*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*q - 9639 = 272*q. Let k = q + 2377. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + (sqrt(75)*3 + sqrt(75) + sqrt(75) + -1 - sqrt(75)) + 3 + (sqrt(75) + 3)**2.\nAnswer: 86 + 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r*x**4 + 20*r*x**3 + 2*r*x - 14*x wrt x.\nAnswer: -24*r*x**2 + 120*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/16 and 1\/12*(3 + (-186)\/16).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32 and -0.321.\nAnswer: -10.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1560 and 105950.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51 + 2\/(2\/3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.3 (b) -4\/5 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b + -54acb?\nAnswer: -54ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, m: 1, q: 1, a: 2, i: 1}. What is prob of sequence ma?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 21 = 2*b, 10845*o - 10847*o - 4*b - 18 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q = 15. Let p be (5\/2)\/((-9)\/(-18)). Suppose 0 = p*c - 36 + 11. Sort c, q, 2 in descending order.\nAnswer: c, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - 82. Suppose x*g = -3*g + 84. What is the highest common divisor of g and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 728?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 213157459 and 0.3?\nAnswer: 213157458.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 2.32435521.\nAnswer: -11.62177605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 662 + -1?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3101 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1))**45*a*a**1*a*a**(1\/7) assuming a is positive.\nAnswer: a**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/18 + (-1 - 0). Which is the biggest value? (a) 0.3 (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -339, -3, -5, -16.\nAnswer: -339, -16, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201*f**5 - 3496*f**4 - 3*f**2 - 120*f - 16847.\nAnswer: 4020*f**3 - 41952*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 - -2216?\nAnswer: 2176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(3\/5))\/((t\/(t\/t**3*t)*t)\/t))\/(t\/t**18)**(2\/65))**(-17) assuming t is positive.\nAnswer: t**(238\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 8. Let d be v(6). What is the hundreds digit of (474\/d)\/(-3)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*q = -11*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**3\/3 + 2156*l**2 - 411200*l + 60680000\/3 = 0.\nAnswer: 100, 3034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w + 258 = -62. Calculate the common denominator of 3\/2 and (-62)\/88 - (-16 - w).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sri when three letters picked without replacement from {k: 2, i: 2, q: 1, r: 1, s: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7865257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 310, 1483, 3452, 6211, 9754, 14075, 19168?\n\"Answer: -i**3 + 404*i**2 - 32*i - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from wgwgwwjowmmgw?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 155*p**3 + 14*p**2 + 11*p. Let s(z) = 31*z**3 + 3*z**2 + 2*z. Give -2*c(d) + 11*s(d).\nAnswer: 31*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219532517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -11, -1.545, 2?\nAnswer: -1.545","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107217764.25999846 - 107217895.26. Let o = 126.8 - -4.2. Let r = o + j. Round r to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 27*s - 15 = 0. Suppose s*f = -3*l + 132, 2*l - 23 - 57 = -4*f. Let a be 27\/12*(-16)\/(-6). Calculate the highest common divisor of l and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + (166 - 153 - (-2 + 1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.8599988 to one dp.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -587600\/10269 - 5\/3423. Suppose 2*o + 62 = o + b, 5*o + 270 = -3*b. Let p = x - o. What is the third smallest value in -0.2, p, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1676 + -934. Let f = v + -188. What are the prime factors of f?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 1:38 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 17452*m**3 - 17450*m**3 + 15*m**2 + 1 - 84*m - 17*m**2 - m**4 as z*m + j + a*m**4 + k*m**2 + s*m**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1 = -j, 3*d + d - 3*j + 19 = 0. Let w(z) = -z - 7. Let g(k) = -k - 6. Let m(s) = -4*g(s) + 3*w(s). Let y be m(-4). Do y and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 45*m**3 - 3*m + 3. Calculate the remainder when 85 is divided by y(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 181 and 0.2552359926.\nAnswer: 181.2552359926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*u = -6, -2*u + 16 - 17 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -54. What is the third smallest value in -0.3, -3, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 9. Let n = 83 - 247\/3. Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - -8 - (30 + -10).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -16*n + 28*n + 5 - 5*n - 6*n. Is j(7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -9 + 46 + (6 + 9 - 7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 1866296\nAnswer: 186629.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/12 + (-4)\/16. Suppose g*z = -4*z + 4. Suppose 2*j + 3 + z = 0. Let l(q) = -q - 2. Calculate l(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 1001 in increasing order.\nAnswer: -9, -1, 1001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 4*g**2 + 3*g**2)*(-2 - 3 + 4)*(1 - 4 + 7)*(1 - 1 + 4).\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from kbhwkhppkqpp?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j + j - 9 + 6*j - 4 + 3 + 3*j.\nAnswer: -j - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c = -2*q - 64, 7*c - 5*c - 3*q - 5 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5\/8 + 81*l**4\/8 - 661*l**3\/8 + 891*l**2\/8 + 1645*l\/4 - 450 = 0.\nAnswer: -2, 1, 5, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - p + 1. Let c(g) = -3*g**2 - 3*g. What is -c(z) + 2*m(z)?\nAnswer: 5*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30984 and 942864?\nAnswer: 1217237424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by 2\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322689, -323154, -323621, -324090, -324561, -325034, -325509?\nAnswer: -325986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 + 61*s + 50. Let a be h(-22). What is the greatest common factor of a and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 277609 or 277607?\nAnswer: 277609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276 divided by -138.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t + 3*t)*(3*t - 10*t - 29*t) - 2*t**2 + 1 - 1.\nAnswer: -74*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-3) + 1056\/12?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5242646497.\nAnswer: 11, 19, 2280403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*h**2 - 33*h**2 - 19*h**4 - 4*h + 41*h**2 - h in the form f*h**4 + c + i*h**2 + g*h + w*h**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1841408444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 6*g**2 + 6*g - 4. Let j be ((-2)\/(-1))\/(-2) + 5. Let y be a(j). Let o = 12234 - 73405\/6. What is the second biggest value in 0.2, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -174*n**3\/5 - 124664*n**2\/5 + 500744*n\/5 - 100288 = 0. What is n?\nAnswer: -62680\/87, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -127.\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*c + 69 = -t, -2*t = -5*c - 41. Let j = -8 + t. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 30. Let n = 8 + x. Let r = -0.1 + 0.2. Which is the nearest to -2\/3? (a) 2 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q, -4*c + 12 = -2*c + 3*q. Suppose -4*s - 5*o + 271 = 0, -49 = -s - o + c*o. Suppose 3*h = f + s, -3 = 3*f - 0. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a**3 + 3*a**3 + a**3 + 6.\nAnswer: 20*a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 908 and 90708.\nAnswer: 20590716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i - 4. Let g(u) be the third derivative of u**4\/8 + 5*u**3\/6 - 271*u**2. Calculate -3*b(c) - 2*g(c).\nAnswer: 6*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2))**(3\/7)\/(x\/(x*(x*x*x**2)\/x*x*x*x*x)*x*x**(-3)\/x))\/((x**2)**(-50))**(-5) assuming x is positive.\nAnswer: x**(-3436\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**5\/60 - y**4\/4 - 5*y**3\/6 - 8*y**2. Let q be m(7). What is the second derivative of -8*u**q + u - 2*u + 0*u - 2*u wrt u?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.3075 + -0.3075. Which is the second smallest value? (a) -0.09 (b) -3 (c) 21 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.07 and 360519655.90656.\nAnswer: 360519655.83656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 582\/22 + 96\/176. Solve j = -2*i + 5*z, 0 = -6*i + 2*i - 3*z + 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 24 = 3*v - 4*v, 0 = v + 18 - 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-18)\/40)\/((-55)\/60) and 56\/3.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**7\/10 + 9*s**4\/8 + 33*s**2. Find the second derivative of c(f) wrt f.\nAnswer: -252*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 18*d + 1663. Calculate the remainder when 4773 is divided by u(-32).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -514 + 635. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514529716.\nAnswer: 2, 29, 67, 239, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**3 - 2*y**3 - y**3 + (4 - 3 - 3)*(1 - 1 - 4*y**3) + 8*y + 2*y**3 - 8*y in the form c*y**3 + i*y + h + v*y**2 and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 8. Let w be j(9). Let m = 11 - 7. Let r(n) = n**2 - 4*n + 4. Let t be r(m). Calculate the greatest common factor of w and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 933636?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2645874 and -10583495\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 4*s**2 + 5*s**2)*(-12 + 17 - 8).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 286496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2682 - 16091\/6. Let f(s) be the first derivative of -1\/15*s**5 + 1\/9*s**3 - 6 - h*s**2 + 0*s + 1\/12*s**4. Factor f(n).\nAnswer: -n*(n - 1)**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -423400 to the nearest ten thousand.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.14, -1, -15, -1\/6?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1005683692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2650 and -0.4.\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 27 + 46*v**2 + v)*(-37*v**2 - 41*v**2 + 107*v**2).\nAnswer: 1334*v**4 + 29*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464772121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*a - 55, 0 = a + k - 3*k + 4. Calculate the smallest common multiple of 84 and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 7:58 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28264 and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 19*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 37.302322.\nAnswer: 37.202322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81583703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 192\/5. Which is the closest to -1\/3? (a) 3 (b) i (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4 + (-65)\/((-170820)\/2993).\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24980 and 2140.\nAnswer: 2672860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 677\/272 + 3\/272. Let v(o) be the first derivative of 0*o - 3*o**2 + 11*o**3 - i*o**6 + 51\/5*o**5 + 4 - 63\/4*o**4. Find t, given that v(t) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 5, 4, -62\/149, -0.5, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 42. Let g be z(11). Let f be (g - -48)*(-4)\/30. Which is the fourth biggest value? (a) 5 (b) -1\/4 (c) -6\/7 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 + -78. What is the greatest common factor of f and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7138.494 kilometers to millimeters.\nAnswer: 7138494000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 436 - 431. Suppose -r*f + 517 = q, -q - 4*q + 89 = f. What is the greatest common factor of f and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1 (b) -28 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -12. Calculate the highest common divisor of v and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-24))\/(12\/81*-6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-112)\/(-21))\/(6\/(-99)). Let k be -4 + x\/(-20) - 92\/(-20). Solve 4 = k*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/130 and 43\/2808.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29663 is divided by 122?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 2*r + 5*r)*(33*r - 33*r - 2*r**3)*(-10 - 92 - 35).\nAnswer: -274*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -229*b**2 + 25*b + 6. Let f(j) = -459*j**2 + 53*j + 13. Give -8*f(c) + 17*y(c).\nAnswer: -221*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {p: 6, j: 1, n: 4, k: 3}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x - 14. Suppose -11 = -a - i, 25 = 5*a - 3*i - 2*i. Let z be h(a). Solve 6*n - z*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81475 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + m**2 - 3*m**2 + (4*m**2 + m**2 - 3*m**2)*(3 + 2 - 4) + 3*m**2 + 0*m**2 - 7*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -6484074?\nAnswer: -6484074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6848913 hours in minutes?\nAnswer: 41.093478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295 = -23*k - 36*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 12, 9, 6, 3?\n\"Answer: -3*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 3:28 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + 11122202012100?\nAnswer: 11122202020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 908328 to the power of 1\/2, to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 2*d - 95. Suppose -d = -p - 0*p. Suppose p - 5 = 2*l. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssrddrxjsxsssddd. Give prob of sequence sdd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**4 - 5*c**4 - 7*c**5 - 3*c - 2*c**5 + 3*c + (2*c**4 + 2*c**4 - 2*c**4)*(c - 2*c + 3*c) + c**5 - c**5 - c**5.\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22129 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**4\/12 + 5*g**3\/6 - g**2 - 3*g. Let v be l(-6). Let i = -1 + v. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92668 is divided by 429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584)*-1 + sqrt(1584) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + p = -5*p - 90 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2163 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**3 - 2*f**2 + (f**2 + 4*f**2 - 6*f**2)*(7 + 2945 - 4*f + 6*f).\nAnswer: -4*f**3 - 2952*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/(3944\/80) - 1. Let d = -477\/551 + x. Do d and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 2*d - 2. Let s(k) = 17*k**3 - 27*k + 17. Let j(g) = 25*g**3 - 40*g + 26. Let y(x) = -5*j(x) + 7*s(x). Calculate -11*o(t) + 2*y(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135173.\nAnswer: 135173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 3*d**2 - 4*d**2)*(-3*d - 4*d + 5*d) + (2 - 2 + 1)*(-d**3 + 0 + 0).\nAnswer: 17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-407970)\/(-870) + 2\/29?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 13*z + 80. What is the units digit of r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336571194 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (2 - (3 + 5) - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 4*k. Let d(n) = n**3 - 5*n. Suppose 2*x + 155 + 3 = 0. Let i = x + 84. Calculate i*t(m) + 4*d(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from izzizzzzziiziiztzitz.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 2*u**5\/5 + 3*u**2. Let c(d) = 356*d + 363*d - 722*d. Determine s(c(j)).\nAnswer: 216*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 739*g*x**4 + 2*g*x**3 + 10*g*x**2 + 2*g - 14154*x + 1 wrt x?\nAnswer: 8868*g*x**2 + 12*g*x + 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80734.77 rounded to the nearest 10?\nAnswer: 80730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -10, 16, 7, 1, 2, 0 in descending order.\nAnswer: 18, 16, 7, 2, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:49 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 464.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92827.25 micrograms to grams.\nAnswer: 0.09282725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, p: 2}. What is prob of sequence pp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -404, -2, -1, 2, 1, -26 in descending order.\nAnswer: 2, 1, -1, -2, -26, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 278 and -53?\nAnswer: -14734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2730 divided by 546\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-84 + 25 + 19)*(0 - 4*z + 0 + 2) to o + k*z and give k.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166917 + -78706. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2782591 is divided by 297.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/7 - 157928*d\/7 + 315860\/7.\nAnswer: -(d - 2)*(d + 157930)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234) - (sqrt(234)*2 - sqrt(234)))\/sqrt(9))\/(sqrt(242) + -4*sqrt(242)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 134 + 82 = 0. Suppose 0*u = 3*u - q. Suppose 4*i + 54 + 6 = -5*v, 0 = -4*i - 2*v - u. What is i rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from bbnnnnnnonnbnonnn?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-2\/3)))\/(y\/(y*y\/(y*y**(-3)\/y))))**6*(y**2*((y\/y**(-8))\/y)\/y)**(-47) assuming y is positive.\nAnswer: y**(-395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 15 = 6*y. Suppose 2*m + 4 = -3*s + 4*s, 4*m = 3*s - y. Which is the fourth smallest value? (a) 0.2 (b) -1\/2 (c) s (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 2:36 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opz when three letters picked without replacement from plzozp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(324)*-1 - (sqrt(36) + -4*(sqrt(36) - sqrt(576))))\/((sqrt(60)*2)\/sqrt(5) + (sqrt(12) - (sqrt(300) - 1*sqrt(300)))))**2.\nAnswer: 259\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48389542 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 217145 = 11507*v - 246932 + 3797 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143487.\nAnswer: 3, 107, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**6\/120 + y**5\/20 + y**4\/12 - y**3\/6 + 10*y**2. Determine v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 6*r**2 - 9*r + 54. Let d be 81\/18 - 21\/(-14). Calculate p(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37063.\nAnswer: 13, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 85404315 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-90))\/((-1820)\/585).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -249, 3, 0 in increasing order.\nAnswer: -249, -21, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4569*d**3 - 4569*d**3 + 493*d**4 + (-3*d**2 + 3*d**2 + 2*d**2)*(-d**2 - 2*d**2 + 2*d**2))*(-1 + 0 - 2).\nAnswer: -1473*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74787393?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*r + 42*r - 3 + 3.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 485778038 to the power of 1\/2, to the nearest integer?\nAnswer: 22040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -137*l. Let u(b) = 8 + 2*b**2 + 4 - 20 - b**2 + 9. Determine w(u(k)).\nAnswer: -137*k**2 - 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*i + 1 + 9, 10*i - 25 = -5*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1265 take away -5.5148892?\nAnswer: 4.3883892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 88*q**2 - 19 + 19 to f*q**2 + c*q + g and give f.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.13, 0.26024, 3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*h = 340 + 504 - 232. Let k be (-2)\/(-3) + (-5)\/3. Let m be k\/h*2*196\/7. Solve -x - 8*i + 3*i = -9, 0 = 3*x + 2*i - m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-6)*((-6)\/15)\/(32\/8)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -211 + 210.766. Let h = i + 4.234. Which is the nearest to -1\/4? (a) h (b) -0.5 (c) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 20, 45, 88, 155, 252, 385?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**3\/2 - 13*i**2\/2 + 19*i. Let q(k) = -k - 1. Let s(j) = 78*q(j) - 6*u(j). Let h(w) = 2*w**2. Determine h(s(z)).\nAnswer: 7200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11963101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -6 - -5) + -80 + 72 + 80.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -10. Suppose 0 = -5*g + 3*t - 6 - 28, 8 = -2*g + 4*t. Let q(w) = -w**2 - 4*w + 32. Let o be q(g). Solve h*x = -o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Suppose -13 = -5*k - q*l, 0 = 3*l + 8 + 1. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 - -10101110?\nAnswer: 11010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4677918 divided by 3.\nAnswer: 1559306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**4*y**3 - 2*t**4*y + 1506*t**3*y + 2815*t**2*y**3 - 4*t*y**3 + 3*y**3 wrt t?\nAnswer: -48*t*y**3 - 48*t*y + 9036*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**6\/90 + 11*d**5\/45 - 40*d**4\/3 + 184*d**3 - 1104*d**2 - 2*d. Factor s(p).\nAnswer: 4*(p - 6)**2*(p + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -156.36453?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2854 is divided by 488.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 586210.4419 to the nearest 1000.\nAnswer: 586000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1979941.607998965 + 1979942.08. Let g = d + -0.472. What is g rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 14*n - 4. What is p(14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 5. Suppose 5*d = -0*d + 10. Let u = d + x. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.237 - 4.833. Let n = -4.92 - s. Which is the third smallest value? (a) n (b) 2\/9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o + 2. Let u be (-12)\/(-96)*-22 - 1\/4. What is d(u)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69\/18971 - -370636013\/113826. Let h = 3275 - z. Let s = -7258\/9 + 116929\/144. What is the common denominator of s and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28907 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/15*5*9\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgqdggdzkgkgdda. What is prob of picking 1 q and 1 z?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-2))\/(4\/(-16)). Let s(c) = c + 11. Let v be s(-11). Sort q, 5, v in decreasing order.\nAnswer: 5, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/10 of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -102031?\nAnswer: 102030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 79654842 divided by -74934?\nAnswer: -1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18773969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.201*-333\nAnswer: 66.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42562287 to the nearest integer?\nAnswer: 6524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10270722*d**2 + 1371*d - 7309?\nAnswer: -20541444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1466771 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1296))\/(sqrt(288)*-2)*-6.\nAnswer: 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7112 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 69634715.1 to the nearest 1000000.\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - -21?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/1470 and 179\/14784.\nAnswer: 517440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 398 + -193. Let y = i + -1024\/5. Sort y, 0, 3, 0.4 in increasing order.\nAnswer: 0, y, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*l + u, 6*l - 5*u + 5 = l. Solve -5*s + g = 0, 2 = -3*s + l*g - 3*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 662*q**2 - 249*q**2 + 3 + 981*q**2 - 1.\nAnswer: 70*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697544?\nAnswer: 2, 17, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 286 - -85. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -b43f4c?\nAnswer: -b43f4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 13) in base 15?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -15084 in increasing order.\nAnswer: -15084, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 117395.1nm?\nAnswer: 0.01173951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -76*g - 70. Let r be t(-5). Suppose -q - 57 = 2*d - r, 2*d = 0. What are the prime factors of q?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1447936 and 98?\nAnswer: 10135552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1850 = 1904. What is the smallest common multiple of n and 7?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1206242 (base 7) to base 11.\nAnswer: a531a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 8 - 5 - ((0 - -30) + -23).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54*j + 22*j + 32*j + 382*j**2)*(0 + 2*j**2 + 0 + (-5*j + j + j)*(8 - 8 + 2*j)) to the form y*j**2 + s + g*j**4 + b*j + x*j**3 and give g.\nAnswer: -1528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.1 + -8. What is the closest to s in -5, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**3\/3 + 512. Suppose y = 5*i - 17, -3*i = -3*y + 2*y - 11. Calculate g(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**3 + 2580*v**2 + 28824*v + 26240 = 0. What is v?\nAnswer: -10, -1, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140 + 220. Let v = -79 + o. What is the third smallest value in v, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018181794 to 6 decimal places.\nAnswer: -0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2615 - 2612. What is the second biggest value in 1, j, -10, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 + 2. Let u(t) = 9*t**2 + 4. Let x(q) = -6*u(q) + 14*w(q). Let c(z) be the first derivative of x(z). Let h(b) = 2*b. Give h(c(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/24 and 71\/29103.\nAnswer: 232824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 524288*n**4 - 42409984*n**3 - 225813120*n**2 - 389768086*n - 222744988.\nAnswer: 2*(n - 86)*(64*n + 109)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15653 at least 15689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 14 - -24 - -24 - 129\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16038\/8748)\/((-1)\/(-6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f. Let w(g) = 153559 + 48*g**2 - 153559. What is k(w(n))?\nAnswer: 288*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -238*v - 353*v - 59*v + v - 4*v + v + (-4 + 1 - 1)*(4*v - v - v) - v + 6*v - 2*v as m + q*v and give q.\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -411143 (base 6) to base 11\nAnswer: -22609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.061? (a) -1 (b) 0.4 (c) -2\/21 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/(2\/(-6)). Let f = 2 - -2. Suppose -4*a + 10 = -n - f*n, -a - 10 = 5*n. Is n >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) + (-2279)\/(-159). Solve 31*i + 48 = -r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2\/7 + 16449*f\/7 - 65748\/7 = 0. What is f?\nAnswer: 4, 5479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiiuuiu. What is prob of picking 2 i?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 9*t**4\/14 + 58*t**3\/21 + 24*t**2\/7 + 8*t\/7 - 476. Solve r(n) = 0.\nAnswer: -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - 0.1. Let z = -29.999 + -0.001. Let f = z + 29.5. Put 0.5, f, h in descending order.\nAnswer: 0.5, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -2, 0, -14, 4 in increasing order.\nAnswer: -14, -2, 0, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30385 + -1.104111?\nAnswer: 30383.895889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 680*j**2 - 681*j**2 + j + 0 - 106*j**4 + 0 to the form l + p*j + m*j**2 + a*j**3 + y*j**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-9))\/(z**(-27)\/z)*(z**(-3\/2))**(-19\/2) assuming z is positive.\nAnswer: z**(141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84\/2203 or 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/5)\/(-40) - 3*7\/105.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -489.11 + 489.1099960662. Round b to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -11*c + 2. Let o(g) be the third derivative of g**5\/30 - 86*g**2. Calculate r(o(z)).\nAnswer: -22*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 - 2*t)*(-6 + 0 - 8 + 1 + 1 - 3 + ((1 + 1 - 1)*(-4 + 3 + 4) + 0 + 1 + 1)*(5 - 1 - 3)).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.95394516 or 2?\nAnswer: -4.95394516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56402.29 take away 1?\nAnswer: 56401.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -9, 1, -2, 3 in increasing order.\nAnswer: -9, -2, 1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155 - -127.234. What is i rounded to zero dps?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvmmdmmxvmkmnmknm. What is prob of sequence mn?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 14 + 18 - 363 = 151 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven eighths of a week?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 37*u**3\/3 + 6*u**2 + 2*u. Let x be p(22). Let s = x - 963. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 25539*d - 25542.\nAnswer: 3*(d - 8514)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24824 (base 11) to base 5\nAnswer: -2114400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3034 - 943. Calculate the highest common factor of 123 and d.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (883 - -1)\/((-8)\/(-12)). Let s = a - 798. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384781950 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24530, -24535, -24542, -24551?\n\"Answer: -l**2 - 2*l - 24527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-32))\/((138\/(-48))\/23).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 691898957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + m**2 + m**2)*(-14 - 9 - 4 + 0 + 0 + 2 + (0 + 1 - 2)*(0 - 2 + 3))*(-2*m + 0 + 0 + 2*m - m + 0*m + (3*m - 2*m + m)*(1 + 4 - 6)).\nAnswer: 234*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.4 + 6.9. Put 1\/5, p, 2\/5, -0.3 in decreasing order.\nAnswer: p, 2\/5, 1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1349544, -2699086, -4048628?\n\"Answer: -1349542*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -2889, 2\/11, 0.5, -6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 7:04 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*y + 2097, -12*y + 7*y = -3*f - 3463. What is the remainder when y is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = 3*a + 263. Solve -25 = -a*m + 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-4)\/(-152)*(-11507)\/34521?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 5*q**3\/2 + 47*q**2\/2 - 105*q. Let h be c(-3). Solve 4*n - 2*n - 2 = 2*j, h*n + 1 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-2)\/2 - 1. Let n = 7.7 + -0.7. What is the nearest to -0.2 in q, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/(5\/(-6)). Suppose -2*s - 8 = -2. Sort h, -4, s in decreasing order.\nAnswer: h, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6440 and 2385250.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/2 and 49\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 340709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.6 - 6. Let f = -4829\/6227 + 3\/479. What is the third biggest value in l, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 14*o + 14. Suppose u = o*v + 640, 3219 = 5*u + 6*v - 2*v. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*i**3 + 83*i**3 + 0 + 0.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/11522938 and -65\/87324.\nAnswer: 1313614932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 207158, 207269, 207382, 207497, 207614, 207733?\n\"Answer: i**2 + 108*i + 207049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 901683239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3 = -17. Let c be (y + 6 - 3) + 75. Find the second derivative of -4*o + c*o**5 + 0*o - 67*o**5 wrt o.\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1050))\/sqrt(6) + 2 + (-4 + sqrt(112) + -2 + sqrt(112))**2*-5.\nAnswer: -2418 + 500*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 6:05 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 20 + 12 = -z - 10, -z - 8*o + 9 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t**2 - 7*t. Let z(d) = -4*d**2 - 3*d. Let g(c) = 3*v(c) - 7*z(c). Suppose 0*a - 4 = -2*a. Let p be g(a). Solve p = -0*q + q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 680 and 4.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 1 f when three letters picked without replacement from vvvfvwvwfvvffv?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 130*t - 23 + 37 + 43*t.\nAnswer: -87*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 30 + 311*s**3 - 312*s**3 - 2*s**2 + 16*s**2 - s. Let p be g(14). Solve 11*w - 15 = p*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4825719698 take away -1299.91?\nAnswer: 1299.4274280302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -3 + 11 - 0\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pypp. Give prob of sequence ppp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 5*b**2 + 6*b - 6. Let d(w) = -2*w**3 - 5*w**2 - 7*w + 6. Let z(v) = -2*d(v) - 3*n(v). Give z(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgo when three letters picked without replacement from {g: 1, o: 3, s: 3, b: 1, h: 5, f: 4}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-132)\/2 + (-2)\/(-1). Suppose 10 = 2*i - h. Does 24 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(35)\/(sqrt(25)\/sqrt(5)).\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3, 5*t - t - 6 = f. Let m be ((-3 - -2) + (-1)\/f)*10. Let c(p) = p**2 + 4*p + 3. Determine c(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 162 = 13*l. Let y = -130 + l. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -606700\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 + -5?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -202, -448, -792, -1234?\nAnswer: -1774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.2. What is the closest to w in 4\/7, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2680*p**4 - 34?\nAnswer: -10720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1720 is divided by 538.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.71 and 0.01?\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/411756 and -20\/81?\nAnswer: 11117412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.9050566 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j**5\/2 - 279*j**4\/2 + 3363*j**3\/2 - 2025*j**2\/2 - 13392*j - 7290 = 0 for j.\nAnswer: -27, -2, -3\/5, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -3 + (-20)\/(-25). What is the closest to 0 in 2\/13, 1\/3, t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2755056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 3*i**2 + 4*i**2 + 8*i - i**3 + 5*i**2 to the form k*i + s*i**3 + l*i**2 + z and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4 and (-1074)\/168 + 3\/(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + 2*d**5 - 4*d**5 - 3*d**5 - d**5 + 3*d**5 + (d**4 - 1 + 1)*(-4*d + d + 2*d).\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:35 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 38 = 11*z. Let a = -1\/517 + -4649\/2068. Find the common denominator of 9\/27 + z\/(-28) and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t + 528 = -17*t + 636. Solve -2*m - 11 = -t*y, 4*m - 6*m = 5*y - 29 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + 6*(sqrt(1053) + ((sqrt(1053)*-1 + -5)**2 + sqrt(1053) - sqrt(1053)) + 1 + -1 + sqrt(1053)).\nAnswer: 648*sqrt(13) + 6472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6789 - -6788. Which is the third biggest value? (a) -5\/4 (b) h (c) -2\/57 (d) 0.4 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42967833 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.2, -2\/3, 17932?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/36 + -2*(-111)\/(-696).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 12:16 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.316 - -0.616. What is the smallest value in x, -0.3, 2\/3, 2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 36438435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-76)\/(-28) + -3)\/(2\/(-28)). Let a be (2\/(-8))\/(-1*1\/j). Let c be ((-10)\/5 + (0 - -7))*a. Calculate the highest common divisor of c and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 - 2*x**3 + 5*x**2 + 3*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3979494*n + 9. Let o be y(4). Let h = o - 33917985. Round h to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -9. Suppose -r + 2 = -o*r. Sort r, 5, -4 in ascending order.\nAnswer: -4, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12 + 606\/(-14) + 4\/14. Put 2, r, -3 in increasing order.\nAnswer: r, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 0\/(2*3\/6) + 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r**3 + r - 8*r**2 - 6*r + 16 + 7*r**3. Let a be x(-7). Factor -12\/5*z - 9\/5 - 3\/5*z**a.\nAnswer: -3*(z + 1)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*j - 45, 2*j + 30 = 7*j + k. Let w(v) = v**2 - 5*v + 2. Let i be w(5). Solve -i = -s - j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1856*m - 190 = 1666*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 31*r + 30. Let l be p(-30). Let y = l - -9\/4. What is the third biggest value in -2\/3, -1\/9, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586684.\nAnswer: 2, 7, 23, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 27*v**2 + 43*v - 42. Let l be z(1). Calculate the greatest common divisor of l and 812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -13, -7, 7, 29, 59, 97?\n\"Answer: 4*i**2 - 14*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 7:59 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from wwwswwwwwrwwwwww.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-265)\/(-14628))\/(45\/(-72)*1).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 410, 402, 398, 398, 402?\n\"Answer: 2*w**2 - 14*w + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.2, 3, -0.3, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13910341.\nAnswer: 641, 21701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24208\/2760 + -9 - (-5)\/2*(-34)\/(-425).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-2))\/((-735)\/(-490))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12, -9, -6, -3?\n\"Answer: 3*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1323514 (base 6) to base 5.\nAnswer: 4322124","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -558 + 662. Calculate the lowest common multiple of 312 and t.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2 - 145760*d - 5311494400 = 0.\nAnswer: -72880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20240 + 63117. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 40. Let j be 39\/3*(-2)\/(-2). Let d be (17\/(-2))\/(j\/(-26)). What is the greatest common factor of d and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t - 11. Let i(j) = -14*j + 17. Calculate -8*a(o) - 5*i(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -376 + 111. Let g = 265.00000732 + c. What is g rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 211 = 2*i, -4*z - 368 = -5*i + 176. Let a = 49 - i. What is the common denominator of -69\/20 and (2\/8)\/(1\/a)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*w - 8. Let z be 3\/9 - (-114)\/9. Let i = z - 7. Are w and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695721579?\nAnswer: 3, 7, 41, 808039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*u - 12 = 0, 3*g - u + 0*u = 12. Factor -12*p**2 - 15 + 14*p**2 + 5*p**4 - 20*p**g + 0*p**4 + 8*p**2 + 20*p.\nAnswer: 5*(p - 3)*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25029?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 107022 and 321066?\nAnswer: 321066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301413834 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 4. Let r be 1\/(1 - (-70)\/(-75)). Suppose -10*b + r*b = -20. Give z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12 = 5*i. Find the second derivative of -w**4 - 5*w**4 + 5*w**i + 3*w + 4*w**4 wrt w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*-2 + sqrt(275) - sqrt(275))*-3 + -6*-1*sqrt(275) - ((sqrt(11) - sqrt(704))*1 + sqrt(11)*4*4)**2.\nAnswer: -891 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1303834 or 1303829?\nAnswer: 1303834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s - 3. Let z = 31 + s. What is the remainder when z is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 4:30 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjs. What is prob of sequence jjsj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(240)\/sqrt(5))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 12941458.62 to the nearest 1000.\nAnswer: 12941000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -4 (b) 2\/11 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -1 - -1)*-11. Let c(i) = 4 + 8 - g*i + 8*i. What is the units digit of c(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36450, 0.5, 2\/5.\nAnswer: -36450, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7179712 at least as big as -7179713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2 = -12. Put 5, l, -3, -1 in decreasing order.\nAnswer: 5, -1, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 4. Let j = 0.2 - -14.8. Let g = j + o. Put 1, -0.1, g in descending order.\nAnswer: 1, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1010100110010100?\nAnswer: 1010100110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 7*q - 2*q + (-3 - 3 + 8)*(2*q - 2*q + 2*q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + (38 - 22) + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 6 - 10800\/1500.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110235152 (base 6) in base 3?\nAnswer: 10201121020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.7 + -13.7. What is the biggest value in -1\/6, 2, m, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let l(r) be the third derivative of 21*r**4\/8 + r**2 + 20. Calculate g(l(o)).\nAnswer: 63*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -11, -1223, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742186 is divided by 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -111. Let w = y + 76. Let x = w + 21. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -12) + (22 + 3 - (1 + -1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.8 and -2.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8820)\/(-56))\/(-35)*(9 + 1 + (-59990)\/5985)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - 10000000?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 24. Suppose 3*v + l = 14, -21*v - 5*l = -17*v - 4. What is the lowest common multiple of y and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 15*s**3 - 10*s**2 + 14*s - 31. Let t(j) = 4*j**2 - 13*j - 6. Let n be t(4). Is c(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, -12, -90, -240, -486, -852, -1362, -2040?\n\"Answer: -4*y**3 - 2*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 2*h**3\/9 + 104*h**2\/3 - 70*h + 199. Let o(d) = 0. Calculate d.\nAnswer: -105, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add together -0.033881 and 26417.\nAnswer: 26416.966119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 768 and 46176.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3648876 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 4131?\nAnswer: 8262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**3\/6 + 2*u. Let t be z(0). Let c be (2\/2)\/((-3)\/264*-11). Solve t*x = -2*x + c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*f + f. Which is smaller: f or 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5875 - -5848.6. Which is the nearest to -2\/5? (a) k (b) -3\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 532, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(32) + (sqrt(32) + (sqrt(2048) + -5 - sqrt(32)))**2.\nAnswer: -316*sqrt(2) + 2075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111201102 - 1?\nAnswer: 11111201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 170553832 divided by -38824?\nAnswer: -4393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -505 in -6, 9\/17, -7, -4, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, p: 8, b: 4, q: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 12*p - 11. Calculate h(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 3631880?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*n + 9*t - 1061 = -1052, n - 3 = t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 418123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**5 - 3836*f**4 - 532844*f**3 - 4997572*f**2 - 6341712*f + 11875968 = 0.\nAnswer: -793, -156, -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5955\/169 + 48445\/1183. Find i such that -32\/7 - r*i**2 + 68\/7*i + 4\/7*i**3 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4 - 120*d**3 + 119*d**2 = 0. Calculate d.\nAnswer: 0, 1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 + 4*k**2 - 5*k**2. Let f(x) = x**2 - x + 1. Let y be f(2). Let v(s) = s**2 - 3*s + y*s. Determine b(v(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1840 and 137885?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -6901?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 693531997 take away -0.4?\nAnswer: 693531997.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 62 = -0*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 360*k - 1900.\nAnswer: 4*(k - 5)*(k + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + f = 2*f + 27, 3*f = 2*r - 16. Let d(b) = -b**2 + 5*b - 1. Let n be d(r). What is the closest to n in 0.3, 0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 56*f + 54. Let m be r(-29). Let x(l) = l**3 + 3*l**2 - 2*l - 1. Give x(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -2*s**5\/5 + 2*s**3\/3 - 3*s**2\/2 - 179*s. List the prime factors of t(-3).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*((-4)\/(-36))\/((936\/(-513))\/104).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36001480 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 + -15) - 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*k + 37*k + 204 = 0. Suppose h + 9 = -1. Find the common denominator of h\/k*236\/(-20) and -89\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d - 19 = -189. Solve 3*n + 2*s - 9 = 0, -d*s + 5 = -6*n + 10*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23582187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416496?\nAnswer: 2, 3, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, j: 11}. Give prob of sequence aaaa.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 - (-75 - -45 - -5).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/11 + 4\/22. Let h be (-1)\/(-6)*(g - -6). Let j = -160 + 161. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619587 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 8 = 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42622 * 0.07.\nAnswer: 2983.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -1\/2*x**6 - 17 + 0*x**5 + 20*x**2 + 0*x**3 + 0*x**4 + 0*x. Find the second derivative of h(n) wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/12 + 5*q**4\/6 + 5*q**3\/2 - 2*q**2 - 6*q. Solve y(s) = 0 for s.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -10*o**3 + 14*o**2 + 37*o + 3. Is 13 a factor of t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 397b3 (base 14) to base 6\nAnswer: 3010545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-112)*7)\/((-20)\/16))\/((-105)\/(-125)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1255*h + 20. Let p be w(4). Round p to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4940 and 3641122.\nAnswer: 473345860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16\/5)*t**(1\/8)*t)\/((t**18*t)\/t**(-3\/8)) assuming t is positive.\nAnswer: t**(-429\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13960\/989541 + -2\/7119. Let p = 288\/695 + r. Suppose -p*v**2 - 1\/5*v + 2\/5*v**4 + 0 + 1\/5*v**3 = 0. What is v?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49358250?\nAnswer: 2, 3, 5, 21937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-296)\/(-8) - 7)\/((-35)\/(-5) - 5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 5, -4, -1723, -46, 1.\nAnswer: -1723, -46, -4, 1, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 759 = -2*t. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7038, 14122, 21206, 28290?\nAnswer: 35374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19932898 less than 0.4?\nAnswer: -19932897.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 15) to base 7.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-4) - ((-21)\/14 + -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99 - -134. Let s be (-8)\/14*(-6)\/(60\/d). Factor -1\/2*q**3 + 0 - 1\/2*q + q**s.\nAnswer: -q*(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + (17 - (9 - (-28 + 29)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698040 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/4 - -17\/12. What is the third biggest value in -3\/10, p, 3\/2, 0?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287677 divided by 1.\nAnswer: 287677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/5514 and -113\/293064?\nAnswer: 269325816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/585 and -56\/405?\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - 2. Let k be (z\/9)\/(4\/(-6)). Let p(i) = -24*i - 142. Let y be p(-6). Which is the closest to 1\/3? (a) k (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, k: 2, h: 1, v: 2, p: 3}. What is prob of picking 1 y and 1 p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6*9\/6. Let x(b) = b**2 + 6*b + 3. Let c be x(-5). Let o = c - a. Which is bigger: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1595, 4, -1\/4, 1\/5, -2, -1\/11, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -154*i - 63. Let t(r) = 5*r + 2. Let j(y) = 4*p(y) + 126*t(y). Let x(s) = 2061*s - 1014*s - 1060*s. Give j(x(q)).\nAnswer: -182*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136\/33 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/3)\/h**(2\/9))\/(h**(-25))**(-1) assuming h is positive.\nAnswer: h**(-215\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -239\/14 or -18?\nAnswer: -239\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -499*c + 132752. Calculate n(266).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -74, -41, -10, 19?\n\"Answer: -b**2 + 36*b - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202577.8 + 2.\nAnswer: -202575.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -1, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f. Let c(w) = w**2 - 46*w. What is c(a(y))?\nAnswer: 4*y**2 + 92*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3694 - 6883. Which is the biggest value? (a) 5 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*((-141)\/9 + -1). Suppose 4*n + 2*w = -w + 585, 4*n = 2*w + 610. Calculate the greatest common factor of n and u.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 35) + (-1 - -12) + (1 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4345740 divided by -5?\nAnswer: 869148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/91 + 3\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 38 = -55. Suppose i*a - 27*a = 956. Let r = a + 168. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in 1\/5, -2\/117, 147, 3\/8, 1?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 193578 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-16) - ((-1840)\/112)\/((-8)\/(-7))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*q**2)*(-4*q - q + q) - 2*q - 2*q**3 + 0*q + q.\nAnswer: 10*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8662900 to the nearest one hundred thousand.\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 326583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23220*t = 23214*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32227 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 91 - 2 = 0. Let u be (-1)\/(2 + x\/45). What is the highest common factor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23446 is divided by 11714.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25774210 (base 8) in base 9?\nAnswer: 11756400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*i**2*r**3 + 6*i**2*r**2 - i**2*r - i*r + 33 wrt r?\nAnswer: -78*i**2*r + 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 28055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -1, 0, 239?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 + -31.7. Let q = 30 + d. Sort q, 9, 0.5.\nAnswer: q, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -79*h**3 + 2*h**2 + 6*h + 10. Let d(v) = -67*v**3 + v**2 + 5*v + 9. What is -6*d(j) + 5*i(j)?\nAnswer: 7*j**3 + 4*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*3 - (2*sqrt(152) - sqrt(152))\/sqrt(8))**2.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/6, 5, 0.1182?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 4. Let a be i(-1). Let t(q) = 557*q + 40. Is t(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 2 + 3 + -2)**2.\nAnswer: 6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13517 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53464 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -165?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (4 - -8 - 53)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3224 + 1633 - 65*a**2 + 1591 - 54*a**2.\nAnswer: -119*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r + 0*r)*(492560*r - 1623*r**2 - 492560*r).\nAnswer: 3246*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 60168565\nAnswer: -2\/60168565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 5. Let v be ((-4)\/(y + 5))\/3. Which is the third biggest value? (a) 3\/5 (b) v (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*j - 11*j. Let d = j - 1. Let s(i) = i**3 - i**2 - 2*i. Give s(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -50 + 68. Suppose a + 4 = 0, -4*a = j - 3*a + p. Let i be 26 + 3\/(-6)*j. Solve 5*y + 7 = i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:16 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(20\/(-5))\/(-56))\/((-499)\/(-3493)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/((-2)\/1)*49\/(-49)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/91 bigger than 4\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 9 - (-2 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3801.6 - 3806.6. Does z = 205\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**4 - 3300*n**3 - 752820*n**2 - 66825760*n - 1707639360 = 0.\nAnswer: -236, -146, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/12*6\/(-4). Let z be 45\/(-18)*(-2)\/(-5). Let a(h) = 3*h**2 + h. Let x be a(z). Solve -2*p = x*j - 8, -b*j - 14 = -5*p + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39344408 by 19672204.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 793 - 635. Suppose x*q = 159*q - 205. Calculate the remainder when q is divided by 100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 473757970 and 25821.\nAnswer: 2869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2590 and 2110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.816*-0.7.\nAnswer: 1.9712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-21)\/(-9)*3*15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62451 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, y: 1, t: 2}. Give prob of picking 1 t and 1 y.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8914162 and 8628.\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-17 - -11) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.839697 rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + l**2 - l. Let g(s) = s + 15. Let o be g(-8). Let c = o - 6. Suppose -x - 3*x + c = -3*d, -5*d = 5*x + 25. What is k(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-1260))\/1*6*(-15)\/(-100)*-6\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216065000 rounded to the nearest one million?\nAnswer: 1216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 2*z - 12. Let b be g(-4). What is the biggest value in b, -58, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 200*w**2 + 12818*w + 1114. What is v(-64)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1110256 - -7?\nAnswer: -1110247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19648057 is divided by 549?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34 + 114)*2\/5. Calculate the greatest common divisor of q and 1744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/40 and -26\/2939135.\nAnswer: 23513080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g. Let y(a) = 2*a - 5. Let n(s) = 3*s - 7. Let p(h) = 5*n(h) - 7*y(h). Give b(p(u)).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -112?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-4 + -6 - (-3)\/((-21)\/28)). Calculate the highest common divisor of j and 889.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 at least as big as -344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 19 = 15. Suppose -8 = s*g, 5*o = 4*g + 20 + 21. Suppose o*r = 14*r - 36. Solve 3 = r*d - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2298.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v + 5. Let r(n) = n**3 + 10*n**2 + 6*n - 32. Let x be r(-9). What is i(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(272) - sqrt(272))\/sqrt(8) - sqrt(34))\/((sqrt(8)\/sqrt(2) + sqrt(4))\/sqrt(2)))**2 + sqrt(153)*5*-4 + 4 + sqrt(68)\/sqrt(4) + -5.\nAnswer: -59*sqrt(17) + 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:40 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 5*x - 7. Let a be h(7). Suppose -5*l + 22 = a. Let r be ((-1)\/7)\/(l\/(-6)). Do r and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 10 - 5. Let f = 5 - l. Suppose x - 13 + 6 = 0. Solve 2*q = -f*g + g + x, 4 = 3*g + q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1.5935\nAnswer: 0.3187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/17 + 688*d\/17 = 0.\nAnswer: 0, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976.2312 days to nanoseconds.\nAnswer: 84346375680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 4. Suppose -6 = 3*j, 12 = m - 3*j + 4. Let b(v) = -17 + v + 0*v - 5*v. Give m*b(o) - 9*q(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 + 0)*(-3 + 2 + 0)*(6 - 6 + 2*c) in the form d*c + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 0)\/((-1)\/(24\/(-12))). Suppose 0 = -3*q - q + 208. Suppose -m + q = -g. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:54 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -51.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/60*6\/(-15).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1323 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 605178 by 21.\nAnswer: 28818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*y = -92 + 268 - 1244 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -16. Let c be (-35)\/(-42)*j\/(-5). Let o = -13 - -13.01. What is the second biggest value in -0.3, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l + 20 = 0. Let p be 2 - ((-22)\/l)\/2. Let x be 2*(-3 - (-58)\/19). Which is the third smallest value? (a) x (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 15 + 39 = 0. Let p = -4 + c. Calculate the remainder when 21 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.119 - -201.674. Let c = -193 + d. What is c rounded to two dps?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-40) + (-1 - (-2 + -149305)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23315a (base 11) to base 13.\nAnswer: -cc673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2015 - -2334. What are the prime factors of l?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n + 25. Let a be n + 7 - (1 - 16). Let u = -11 + a. Solve 4*l - 5*g = 0, l + l - u = g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2576766?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*r + 440, 3*m + 43*r - 48*r = 232. What is the remainder when 2515 is divided by m?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.23271 rounded to 2 decimal places?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2 = -77. Let j = m - 30. Let l be ((j - -4)*-3)\/(-2). Which is smaller: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 9 = -6*a, 59539709*a = 59539714*a + 3*j + 1 - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45550820 and 14280?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4\/3, 18, 11, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 14*q + 107. Let v be i(-13). Let p = v + 232. Are -74\/7 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 3)\/(-3 + 2). Suppose 4*r - 297 - 3 = t. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.188628+0.1\nAnswer: -0.088628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*n = 68, -3*n = -33*q + 38*q - 112. Put q, -1, -5 in decreasing order.\nAnswer: q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-97 - (-93 + 22)) + -4.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3337, -6697, -10057?\n\"Answer: -3360*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 - 4*p**2 + 3*p - 1. Let b be j(-5). Let c = 0 + 4. Suppose b = c*l + x, -x = -6*l + 4*l + 131. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**6\/200 - h**4\/40 - 23*h**2\/2 - 12. Let f(n) be the second derivative of b(n). Determine u so that f(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 898210242?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(-30)*-3)\/((-2)\/(-12)). Suppose 68 = j + f*j. What is the remainder when j is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + (-469)\/56)\/(6 + -4 + 1)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*x - 4*x + 86*x)*(-4 + 0 + 2)*(-4*x**3 + 4*x**2 - 4*x**2).\nAnswer: 880*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 291 + 7. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*j - 8*j + 0*j - 4)*(5*j - 5*j + j**2) + (2*j - 7*j + j)*(0 - 6*j**2 + 0) in the form h*j**2 + i + c*j**3 + q*j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3232 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1628462 is divided by 277?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**3 - 4*c**2 - 3*c - 2. Let q be r(-3). Suppose 5*f - q + 22 = 0. List the prime factors of ((-9)\/(-2) + 0)*f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Suppose 5 = 3*r - 10. Calculate the remainder when r is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*x + 20, 4*x = 9*x - 20. Suppose -7*z + 21 + 14 = d. Suppose -4*h + z*f + 204 = 0, 130 = 2*h + 4*f + 28. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 6:09 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 441 - 437. Solve 42 + q = -23*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -302\/1369047 or 1?\nAnswer: -302\/1369047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u**3 + 9*u**3 + 12*u**3 + 9*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11522, 23048, 34590, 46148?\nAnswer: 57722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1437622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 13. Let g = i - 16. Let l be 225\/27 - (-1)\/g. Let r(z) = -z + 10. Determine r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w - 2 = 0. Let i(x) = -4*x**2 + 4*x**2 + 2*x**w. Let k(v) = 4*v. What is k(i(s))?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2. Let s(r) = 6*r - 5. Let q(u) = 5*u - 4. Let g(n) = -5*q(n) + 4*s(n). Give z(g(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10849 and -7?\nAnswer: 10842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1595289.\nAnswer: 3, 389, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 204, 644, 1318, 2214, 3320?\n\"Answer: -2*n**3 + 129*n**2 + 67*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*b - 20, 0 = -3*b + 4*n + 13 + 11. Suppose 3*h = o + 362, b*o - 486 = -4*h + 2*o. Calculate the remainder when h is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/6317658 and -65\/84.\nAnswer: 88447212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine fifths of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 8*w**2 - 6*w - 1. Let q be y(7). Suppose c - 10 = q*c. Which is greater: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 5 (b) -4 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8262 = -i, 5*q - q - i = 33051. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y = -14*y - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -5 (c) -247 (d) 5 (e) -4 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -2 - 1)*11133\/3. Let p = d + 2179. Is (-4)\/6 - p\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36636 and 1204.\nAnswer: 256452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8780*g**3 + 5*g**2 + 26*g + 66. Is d(-3) 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 fqdqrqd. Give prob of sequence rf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**4\/21 + 32*v**3\/21 - 160*v**2\/7 - 1382*v. Let s(c) = 0. What is c?\nAnswer: -20, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84308084 at least 84308078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h**3 + 2*h**2 - 2*h. Let a be r(-2). Let n be (-96)\/a + 4\/(-22). What is the third derivative of c**5 - c**2 + 2*c**n - 3*c**5 wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 294.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*f - 4*f**2 + 2 - 15*f + 4*f**2 - 3*f**2 as n*f**2 + y*f + z and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -6.4. Let c = 1 + d. Let l = 33 - 65\/2. What is the biggest value in l, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -11*u**2 + 8*u - 35. Let w(b) = 7*b**2 - 5*b + 23. Suppose 5*m + 0*o - 23 = 2*o, -m = -2*o - 3. Let r(h) = m*f(h) + 8*w(h). Give r(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 6 - 4*k**2 + k + 6*k + 0*k + 3*k**2. Calculate the remainder when 77 is divided by o(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvrk when four letters picked without replacement from kvkvrkrv.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 51\/(-15) + (-110)\/(-275). Let m be (-48)\/(-70)*10\/(-2). Is n != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from xdxzyyyy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22001020 - 2?\nAnswer: -22001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1492265?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 6:58 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11*u**4 + 99*u**3 - 460*u**2 - 4*u. Let s(x) = -70*x**4 + 595*x**3 - 2760*x**2 - 25*x. Let h(y) = -25*o(y) + 4*s(y). Factor h(c).\nAnswer: -5*c**2*(c - 4)*(c + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 7:50 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19331*z**2 + z - 1364633 wrt z?\nAnswer: 38662*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b + 66 + 3*b + b**2 + 64*b**3 - 64. Let k(g) = g**2 - 9*g + 2. Calculate the least common multiple of k(9) and d(1).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3101 is divided by 572?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(931) - (3 + 2 + sqrt(931)) - sqrt(931)) + sqrt(931))*-3 + (2*sqrt(931) + -3 - sqrt(931) - ((sqrt(931) - (0 + sqrt(931))) + 1))))**2.\nAnswer: 154*sqrt(19) + 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {t: 2, w: 4, o: 3, c: 1, f: 3, y: 6}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 180994 + 0.2.\nAnswer: 180994.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j + 2. Let r(y) = 8*y - 5. Let z be (0 - (-1 + 0))*-1. Let g(o) = -1 + 44*o**3 - 3*o + o - 39*o**3. Let v be g(z). Give v*r(k) - 11*w(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -158*t + 6640. What is l(42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 29906 divided by 35\nAnswer: 29906\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14652)\/185)\/(-18)*(304 - -1). What is the highest common factor of n and 5002?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9587 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -1. Let g be (-1 - 1\/(-1))\/w. Let b(s) = s**3 - 2. Let m be b(0). Sort g, 1\/4, m in decreasing order.\nAnswer: 1\/4, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2771674*f**2 - 2261753*f wrt f.\nAnswer: -5543348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 557823571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 332711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**2\/2 + 5946*r + 17677458 = 0.\nAnswer: -5946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.27 + 0.17. What is the third biggest value in -0.3, m, 15, 3\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**5*c))\/c*c\/(c**(-6)\/c*c*c))\/((c*(((c**(1\/4)\/c)\/c)\/c)\/c)\/(c**5\/c)))**(-2\/47) assuming c is positive.\nAnswer: c**(-23\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -1\/3*w**2 - 496\/3 + 250\/3*w = 0?\nAnswer: 2, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.01 - 0.01. Let q = 3 + -1. Let x = q + -1. What is the second biggest value in -0.3, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 7:17 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 360.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -21*m - 210. Determine d(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 4*u - 2*u**2 + 4 + 3*u**2 + 3*u**2. Suppose 3*s + 11 = 26. Suppose 3*a - 10 = s. Determine p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 26*n**2 - 44*n - 7. Let a(f) = -9*f**2 + 15*f + 2. Let u(g) = -7*a(g) - 2*b(g). Find the second derivative of u(i) wrt i.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) - (sqrt(65)*-3 + sqrt(65))))\/sqrt(5) + (0 + sqrt(1872))**2 - -2*(1 + sqrt(1300) + -4 + sqrt(1300))**2.\nAnswer: -236*sqrt(13) + 12290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 912*0.8069\nAnswer: 735.8928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 146, 225, 306, 389, 474?\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30430222 (base 5) in base 3?\nAnswer: -110122022021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/81)\/((-64)\/(-3504)) and -107\/80.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 + -181. Let k = p - 11. Put 0.1, -0.016, k in descending order.\nAnswer: k, 0.1, -0.016","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**2 + 9*u**2 - 7842 - 6*u + 7839)*(-3 - 2 + 3)*(-3*u + 3*u - u) to c*u**2 + r*u**3 + j + y*u and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*n - 614 = 4798 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*u - 100 = -9*l, -4*l + u + 77 = 0. Suppose -3604*m - 330 = -3614*m. Let a = l + m. Is 52 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p. Let m(n) be the first derivative of -3*n**3 + 11*n**2\/2 - 5. Let w(s) = -5*s**2 + 6*s. Let g(c) = 6*m(c) - 11*w(c). Calculate g(q(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -261, -523, -785?\n\"Answer: -262*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 3*v**4 + 14 - 2*v**2 - v + (-v**2 + v**2 + 2*v**3)*(302*v + 233*v - 432*v).\nAnswer: 209*v**4 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 151 in -0.06, -3, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/33*(-27)\/(-18). Let r = 14\/33 - k. Let t = -328 - -323. What is the nearest to r in 0.3, t, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*p - 25*p - 26688 = 306*p - 191*p for p.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 105\/(-5)*(-65)\/5. Let a = k - 226. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -11. Let j(r) = -2*r**3 - r**2 - r. Let n be j(m). List the prime factors of (n\/(-3) - (-10)\/6) + 74.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*w + 1315 - 530 = 2717 + 4200 for w.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - z - 74. Let k = z + -261\/7. Is -0.3 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3035 is divided by 1011.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 7940*m - 63776.\nAnswer: 4*(m - 8)*(m + 1993)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10854 and 295529094.\nAnswer: 3618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12045982 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(((-130)\/(-182))\/((-6)\/(-84))).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * 0.002.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*k**3 + 14*k**3 + 0*k**3 + (2*k - 4*k + 0*k)*(k**2 + 2*k**2 - k**2) + (0*k - 2*k**2 + 0*k)*(0 + 2*k + 0) - k**3 - 2*k**3 + 4*k**3.\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16\/10)\/(1\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - -7953340038.\nAnswer: 7953340094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**5 + 209*n**2 - 50*n + 4 wrt n?\nAnswer: -20*n**3 + 418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 6*q + 5. Let r be s(4). Let m be 8 + (2 - (-15)\/r). Solve 3*g - 10 = -m*h - 2*g, 2*h - 2*g + 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 2 - 2 + (-106*a - 28*a + 53*a + (3 + 0 - 1)*(2*a + 0 + 0) + a - 2*a + 0*a)*(-3 + 2 - 1))*(-5*a**2 + 2*a**2 + 2*a**2)*(3*a - 7*a + 3*a).\nAnswer: 158*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 + 5*d**5 + 2*d**5 - 88*d**5 - 14*d**5 - 45*d**5 + (4*d**4 - 4*d**4 - 2*d**5)*(0 + 1 + 0) + d**5 + 3*d**2 - 3*d**2.\nAnswer: -139*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 43 - (-123 - -28).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6090.236 milliseconds to microseconds.\nAnswer: 6090236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7788474.337 plus 0.001?\nAnswer: -7788474.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 7*q**2 - q + 6. Let b be k(7). Let v be ((-14)\/(-4))\/(b\/2). Let u = -3 - v. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-679108)\/(-105) - 42\/441) + (-6)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -593.1 (b) -0.02 (c) 2\/51 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ce41 - 5a?\nAnswer: cde7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1020 - 549. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 14*w + 32. Let t be z(16). Suppose t = -8*s + 2*s. Solve s*b - 3*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2051 + 48 + 102 = -31*r. Which is smaller: -22 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43845 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 103. Let w be p\/12 + 3\/36*3. Find the common denominator of 1\/117 and 1\/6*2380\/42 + w.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 123 = 2*q. Let g = 69 - q. Let l be -1 - (-664)\/136 - (-4)\/34. What is the highest common divisor of g and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p. Let l(z) = -4*z + 6. Let g(q) = -2 - 3 + 4 + q. Let u(f) = 6*g(f) + l(f). Calculate m(u(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 11:35 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9 = -0*f. Let m be f\/(-2)*4\/(-6). Let q = 2 + m. What is the greatest common factor of q and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/8 - 2\/8. Suppose -2*z = -5*u + j*u + 45, 3*u + 3*z = 30. Find the third derivative of -25*c**3 + 39*c**3 + u*c**2 - 19*c**3 wrt c.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 + -0.13. Suppose -p - p = -4*p. Which is the closest to p? (a) k (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 102.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 707789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqqsypppqqkksqpqk. What is prob of picking 1 p and 1 k?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16019, -16014, -16013, -16016?\nAnswer: -16023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 195.81 - 192. Let p = -0.19 - a. Suppose l + 6 = -2*l. Sort l, 3, p, -1\/4.\nAnswer: p, l, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121009 and 42539.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 184, 1520, 5192, 12382, 24272?\n\"Answer: 197*b**3 - 14*b**2 - b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -11) + (1 - -1) - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - -1933) + 6*(-3)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54*d**2*g - 83*d**2 + 5*d*g + 38*g + 825 wrt d?\nAnswer: 108*d*g - 166*d + 5*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**2 - n**3 + 3*n**2 - 1 + 7*n**2 + 3*n. Calculate the remainder when j(3) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 12*z**2 - 13*z + 2. Let n be j(-13). Suppose -29 = -n*d - 7. What is the remainder when d is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4290809 - -707985821\/165. Let q = x - 77\/5. What is the common denominator of -4 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45448\/11 or 4131?\nAnswer: 4131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 4*k - 3. Determine o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 886, 1615, 2342, 3067, 3790, 4511?\nAnswer: 5230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 551.5988 nanometers?\nAnswer: 0.0005515988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.19 - 3.1573. Let o = i + -137.0327. Is 1 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*x = -2, 2*x = -3*y - 20. Let d(k) = -5*k - 1. Calculate d(y).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1215, -1213, -1211, -1209, -1207?\nAnswer: -1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -33. Let k = q + -118. Let m be -2 - (6\/2 - k). Round m to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -268, -343, -434, -547, -688, -863, -1078?\n\"Answer: -k**3 - 2*k**2 - 62*k - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 20 = 4*c - w, -4*w - 20 = -4*c. Suppose -3*x - 21 = -4*u - 27, -c*x = 3*u + 19. Let m = -3 - -3. What is the closest to x in -2\/3, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 1\/5 (b) 3\/4 (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -3, -16, -5, 0, 5 in descending order.\nAnswer: 16, 5, 0, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*t + 46 - 49, 0 = 4*t - i - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**5\/20 + 5*r**3\/6 - r**2\/2 + 48*r - 10. Let u(k) = -2 + 2*k**3 + 1 + 7*k + 0*k. Give 7*h(a) - 5*u(a).\nAnswer: -3*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let x = -14 - -25. Let r(i) = 6*i + 0*i - 3*i - x*i. Calculate v(r(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -59193 times 1.9\nAnswer: -112466.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**6\/15 + 3*h**2 - 18*h. Differentiate x(c) with respect to c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 27. Let g be t(-8). Let m(d) = 16*d**2 + 8*d - 10. Let p be m(1). What is the greatest common divisor of p and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 39*x - 67. Let h be k(25). What is h rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8230?\nAnswer: 2, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 6. Let w be j(-3). Let p = 1 - 4. Let v = p - w. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57258405 is divided by 9567.\nAnswer: 9477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26, -18, -10, -2?\n\"Answer: 8*n - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16755 is divided by 294.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 24 = 4*w, w = 4*g - 7*g + 7. Suppose 6408 = q - g*j, -2*q + 3*j + 15379 - 2573 = 0. Round q to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.33 + 0.07. Let z = 0.4 - x. Let l be ((-4)\/(-54))\/((-1)\/(-3)). What is the smallest value in z, l, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11817029 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 370.\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-35)*2 - (-2)\/(-5)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4603 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04355294507 to three dps.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 + 71*q - 8. Let c be u(-12). Suppose -3*i = i - 60. What is the remainder when (c + (-608)\/12)*(-6)\/5 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*a**3*m**2 + 1344*a**3*m - a**2*m**2 + a*m**2 - 72*m**2 - 30*m wrt m?\nAnswer: 110*a**3 - 2*a**2 + 2*a - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 + 100*p**2\/3 + 1144*p\/3 - 2704\/3.\nAnswer: 2*(p - 2)*(p + 26)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 669a (base 12) to base 3.\nAnswer: 120120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7653?\nAnswer: 3, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7387, 29528, 66433, 118102, 184535, 265732?\n\"Answer: 7382*h**2 - 5*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:13 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 4:01 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 26?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 199349.8 years?\nAnswer: 199.3498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d + 29*d = -17. Calculate the greatest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 23, -21, -250, 1 in decreasing order.\nAnswer: 23, 1, -21, -30, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*26\/(-3120)*30?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 2 + 0*r**2 + 7*r**3 + r**4 - r**2 + r**3 to i*r**3 + z*r + x*r**2 + u + k*r**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -189577*u. Let j(p) = -p**2 + 18. Calculate j(w(v)).\nAnswer: -35939438929*v**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2691*x + 17. Is t(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*p = 72*p + 100*p + 78*p + 2538 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3196 + -2?\nAnswer: -3198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 157911969961 - 2.\nAnswer: 157911969959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -j + 36791, -4*p - 15*j + 49060 = -19*j. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1387 (b) 2 (c) 0.4 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-6) - 3)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15289, 33856, 52423?\nAnswer: 70990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/120028 and 47\/52.\nAnswer: 1560364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(272))**2*-5.\nAnswer: -5440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 92*v**2 - 128*v + 2977. Determine t(93).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0 + 124*c + 0 - 123*c. Let p(v) = 7*v + 2. Let u(o) = -190*o - 55. Let w = 4 + -6. Let i(k) = w*u(k) - 55*p(k). Calculate l(i(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-129)\/468 + 44\/132. Which is the nearest to 1? (a) i (b) 0.1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 54*l - 493. Suppose 2*d + 72 = 10*d + 8. Determine y(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352924 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*2\/10*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900 = a - 314*u, -14291*a + 14295*a + 156 = 4*u for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(29\/5)\/f)))\/(f*f**(2\/75)) assuming f is positive.\nAnswer: f**(283\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 10:59 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -7, -3, 0.1, 0.3 in descending order.\nAnswer: 10, 0.3, 0.1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 37\/((-1813)\/(-84))*(1 + 6). Solve 3*i = -c + 7, 0 = -2*i - c + t - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4714673 to the nearest integer?\nAnswer: 2171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 + -59. Let h be (-1 - 1)\/((-10)\/235). Let z = g - h. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-100)\/(-4))*-10. Let v(j) = j**2 - 7*j + 8. Let y be v(6). Suppose -c - 31 = y*o - w, 0 = -4*o + 4*c + 348. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 215 - 215. Let p(b) = b + 8. What is p(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 + 0.6. Let n = -0.99 - v. Let z = 0.1 + -0.2. Which is greater: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/90)\/((-4)\/(-25))*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48410069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 0 + 3 + 2*v - 6. Let n(m) = 4*m**2 - 6*m**2 - 2*m + 3*m**2 - 2*m + 3. Let x be n(4). Give c(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*i + 52 - 162, 5*i + 69 = r. Let v(a) = -a**2 + 21*a - 1. Let y be v(14). Suppose 3*c - y - r = 2*l, -5*c + 253 = -l. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81 + 2564*y**2 + 2418*y**2 + 81 to the form i*y + n*y**2 + j and give n.\nAnswer: 4982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c - 2 = 3*q, 0 = -4*q - 8. Is (-1521)\/(-12) + c\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1450 + 2259. Suppose -3*p + g = t, 110 = p + 4*t - 156. Does 45 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 12:44 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 6*s**2 - 7*s - 1. What is w(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(1 - 7 - 3)*(-2*z**5 - 3*z**5 + 2*z**5).\nAnswer: -54*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**6\/8 - 33*l**5\/20 - 27*l**4\/16 + 99*l**3\/4 - 977. Solve k(y) = 0.\nAnswer: -3, 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/13 - 5646*u**2\/13 - 41454*u - 13085450\/13.\nAnswer: -2*(u + 49)**2*(u + 2725)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**5\/4 - h**4\/2 - 199*h**3\/4 - 238*h**2 = 0?\nAnswer: -8, -7, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89771 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*((-8 - -1) + 1). Suppose -h + 7 = -5*c, 0 = 5*h - 4*c + 2*c - 12. Solve -10 = -5*x - h*y, -q - 2 = -4*x - 5*y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -31 (b) 2\/11 (c) 4 (d) -6 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -21. Suppose -2*f + 0 - 4 = -4*v, 0 = v - g. Let u be ((-8)\/(-5))\/(4\/90). Calculate the highest common divisor of f and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/9 (b) 0.3 (c) 2\/9 (d) 2\/119 (e) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65789541.\nAnswer: 3, 17, 79, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -2668 - -3915. What is the highest common divisor of f and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 23. Suppose -5*t + 2*t - 67 = -h, 0 = 4*h + m*t - 348. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6 and 69\/1246?\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**5\/4 + 3*j**4\/4 - 5*j**3\/2 + 9*j**2\/2 + 7*j. Let m(s) = 2*s**3 + 4*s**2 - 7*s + 4. What is -4*d(v) + 9*m(v)?\nAnswer: -2*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 1)*(-3*g + g - g) + (0*g - 8 - g - 10)*(-2 + 6 - 2) to the form y*g + j and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1669678 + -2)*(-88)\/132. Suppose -3235121 = -2*u + n - i, -2*u = 5*n - 2121995. Round u to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 88, 106?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**3 - 130*z**2 + 23*z + 1294. What is u(32)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 3515 - 918. Calculate the remainder when q is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b + 40. Suppose 31*f - 30*f - 101 = 0. Suppose 35 = -6*s + f. What is the remainder when 9 is divided by m(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233 (base 15) to base 13\nAnswer: -2c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82199187751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:59 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 146*r**2 + 41*r - 262. List the prime factors of j(15).\nAnswer: 33203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -853 (b) 1\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:37 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 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: Round 0.0162450319 to six dps.\nAnswer: 0.016245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1662 + 1150*t + 3343 - 1681 - 83*t.\nAnswer: 1067*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by -1 + -4 + (10 + -12)*-28.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 19, 3, 2 in decreasing order.\nAnswer: 19, 5, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 206*z**2 + 13*z - 5. Let g(r) = r**2 + 3*r - 2. Let t(y) = 3*g(y) - q(y). What is the second derivative of t(k) wrt k?\nAnswer: -406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1adbd5 (base 15) in base 6?\nAnswer: 44042515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**2 - 837*i**4 - 1007*i**4 - 242*i - 96*i + 6*i**6 - 4*i**6 wrt i.\nAnswer: 240*i**3 - 44256*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23687 is divided by 188.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3443\/930 - 114\/155. What is the common denominator of z and 15\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 - 156 = 20*c. Suppose 4*z + 5*d - 217 = 0, 5*d = -2*z + 3*d + 106. Calculate the remainder when z is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3825.87093 minutes?\nAnswer: 0.3795506875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3 + 1. Let s(q) = -q**2 - q + 1. Let p be s(0). Suppose -3*h + 2 + p = -4*b, h = 3*b - 4. Solve 5*v = 2*r - 14, -b = v + x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 95*v**5 + v**4\/4 - 355*v**3 + 2409. What is the third derivative of p(j) wrt j?\nAnswer: 11400*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 - (-2 - (-2 - -6)). Let z = -5 - -31. Which is greater: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 192140 = -38*m. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2.3, -97, -15\/29, -4?\nAnswer: -15\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**2 - 8691*j + 1469?\nAnswer: -2*j - 8691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*sqrt(136)\/sqrt(8)*5.\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35488269, -70976542, -106464815, -141953088, -177441361, -212929634?\n\"Answer: -35488273*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(44) + 0 + sqrt(44))*2.\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:32 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*t**2 + 7*t**6 + t**2 + 9*t**2 + 9*t**2 wrt t.\nAnswer: 840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, w: 8, u: 3, i: 6}. What is prob of picking 2 u and 2 i?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onvnoi. Give prob of picking 2 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58022, -109556, -161090, -212624, -264158, -315692?\nAnswer: -367226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 + 36 = 4*n, 0 = -k + 4. Suppose -n*g + 7*g = -6. Suppose 3*m = g*m + 4. Solve -m*b + 14 = 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 5*i. Let j be r(-5). Suppose 9*t - 4*t - 2*n - 11 = j, -t + 2*n = 1. Let v be (15\/12)\/(t\/(-12)). Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4*h = -6, v + 5*h + 1 = -17 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 20*l**2 + 18*l + 21. Let a be b(19). Suppose 5*o + 0*u - a*u = 500, -5*o - 4*u + 500 = 0. Does 32 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 5*q - 5. Let u(k) = -k - 1. Let f(b) = -p(b) + 5*u(b). Let o(l) = -4*l. Give o(f(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 - -83.66834.\nAnswer: 97.66834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2524903, 5049780, 7574657?\n\"Answer: 2524877*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*c**2*r + 2*c**2 + 36*c*r - 3*c wrt c.\nAnswer: 94*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {n: 4, q: 5, k: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -149565708?\nAnswer: 1\/37391427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9442 or -9444?\nAnswer: -9444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r - 1 + 9 + 6*r - 3*r. Let c be m(9). Is (c + 2)\/(-3)*-135 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 200121 (base 3) to base 16.\nAnswer: 1f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -11*w**3 + 15*w**2 - 13. Let m(d) = -5*d**3 + 7*d**2 - 6. Let a be ((-9)\/4)\/(13\/(-8) + 2). What is a*k(g) + 13*m(g)?\nAnswer: g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 17*o + 2. Let g(l) be the first derivative of -l + 4*l - 4*l**2 - 11 - 4*l. Suppose -42*v + 24*v = 234. Determine v*g(u) - 6*h(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 3*q + 1. Let i be 0\/(8 + -1 + -4). Suppose g + 3*g + 12 = i. Let n be f(g). Is n at least -2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34466224 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -47. Calculate the common denominator of 17\/8 and w\/(-4)*1 - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 193530061 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 1 + (19 - 25 - -38).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5596 - -77.7904. What is a rounded to 0 decimal places?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**10\/75600 + u**6\/180 - u**5\/15 + 3*u**2. Let l(c) be the third derivative of t(c). Differentiate l(z) wrt z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 14, 1\/3, 1\/9, -0.09.\nAnswer: -2\/13, -0.09, 1\/9, 1\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1 + 11 = 4*h, 3*h = -l + 9. Let p be (9\/(-6))\/(h\/8). Let z(o) = o + 3. Let n be z(-4). Which is the nearest to n? (a) -5 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*c + 62*c + 21 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.014 - 0.554. Let s = q + 0.04. Suppose -5 = 4*i - 13. Which is the third biggest value? (a) i (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5868 and -524?\nAnswer: 3074832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 2101011?\nAnswer: 2101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 - (-10 + 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 79151585 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 0*f**4 + 0*f**6 + 0*f**2 - 3\/7*f**7 + 0*f - 1\/3*f**3 + 0*f**5 + 2. Find the third derivative of y(j) wrt j.\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 5*h**4\/36 + 335*h**3\/9 + 665*h**2\/6 + 323*h - 7. Factor c(m).\nAnswer: 5*(m + 1)*(m + 133)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.85 + 1.62. Let o = -100.43 - t. What is o rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 10*o**2 + 9*o + 3. Let r be w(-9). What are the prime factors of 1926\/6 + r*(-6)\/9?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -8 - (0 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2312?\nAnswer: -5\/2312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 124*t**2 - 216825*t**3 + 108412*t**3 + 108410*t**3 + 3 in the form d + m*t**2 + b*t + x*t**3 and give m.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0103 * -54.162.\nAnswer: 0.5578686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 178740 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(360)*-1))**2 + ((sqrt(209) + sqrt(209)*-2)\/sqrt(11) - sqrt(76)*1).\nAnswer: -3*sqrt(19) + 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27148 + 27150. Which is bigger: -32 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*c**3*l**4 + 2018*c**3*l - c**2 - 67*l**4 wrt l?\nAnswer: -204*c**3*l**2 - 804*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2 - -3c?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/252 - (-2)\/6\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 2257892?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 - 216\/(-40). Let p = 8001.8 + -8002. Let o be (-4)\/(-10)*(-20)\/(-36). Which is the third biggest value? (a) 3\/7 (b) p (c) t (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s + 1. Calculate z(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p = -2. Let l(k) = 3*k**2 + 2. Let j be l(p). Let b = j - 7. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 339*r - 1344?\nAnswer: 339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 113 and 15595?\nAnswer: 1762235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8 - 4 = 0. Let a = 21 - -4. Solve y + a = -z*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -569 - 611 = -4*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j*j*(((j**5\/j)\/j*j)\/j)\/j*j*j))\/j*j*j*j**1)\/(j**5\/j**(1\/3))*j*j\/(j*j**2)*((j**0\/j)\/j)\/j*j**(3\/7)*j**0 assuming j is positive.\nAnswer: j**(-215\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138970 and 1040?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 2\/3*p**3 + 0*p + 0*p**2 - 2. Let n(o) = o**2. What is f(n(q))?\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.28 - 0.17. Let i = k - -8.89. Let r = 5 - i. What is the closest to 0.2 in 1\/3, 1, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-140))\/((-45)\/(-1200))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 6*z = 75. Let c(k) = k + 17. Let l be c(z). What is the third derivative of -42*v**3 + l*v**3 + 23*v**3 - 4*v**2 wrt v?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224627343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000203522 to 6 decimal places.\nAnswer: 0.000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -15 + (-18 - (-37 - (-10 + -10))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -795 + 824. Suppose 166 = 13*y - i. Solve 5*z = 5*x + y, 0 = 6*x - x + 2*z - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*l + 1 - 27, -2*u = -l - 13. Let g = u - -18. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-24)*((-12)\/(-1))\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 348262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 20*f**2 + 2. Let p be u(20). Let d be (p\/(-6))\/(-4 - (-277)\/69). Which is smaller: d or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(6)\/(sqrt(3) + sqrt(12))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 30. Suppose 17 - s = 3*w. Suppose -7*l = -w*l - 14. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001101110101 (base 2) to base 5.\nAnswer: 242302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 2*r - 6*r - 3*r**2.\nAnswer: -3*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10911 + -173?\nAnswer: -10a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 23*m = -42. Calculate the remainder when 56 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6 + 5*w + 10*w + w + w - 18*w. What is d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 + 5*q**4 - 2*q**4 + (2*q - 2*q - q)*(-126*q + 126*q - 36*q**3).\nAnswer: 41*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 118821*l + 950550. What is i(-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1)\/((w*w**(3\/2))\/w)*(w\/w**(-4\/7))\/w**(-4)*(w**2*w*w**(-2))\/(w**7*w**7\/w) assuming w is positive.\nAnswer: w**(-125\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 306464715?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 25*j. Let t(u) = -11405*u**2 - 22*u - 11*u + 7*u + 11404*u**2. Determine 3*p(i) + 2*t(i).\nAnswer: i**2 + 23*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7154*t - 2836*t - 3.\nAnswer: -9990*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 283 - 0?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 - 0.93. Which is the nearest to h? (a) 1 (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.2 - -124.8. Let t = 89 - j. Let r = -49 - t. Which is the smallest value? (a) r (b) 0.1 (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 24*z**3 + 7*z**2 - 14*z - 7. Let v(t) = 8*t**3 + 2*t**2 - 5*t - 2. Let d(i) = -2*s(i) + 7*v(i). What is the second derivative of d(r) wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 90 = 5*s, -7*i = -2*i - 25. Let x be (-3)\/((30\/s)\/(-5)). Suppose -4*t + x + 1 = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 0 + 1\/2*b**4 + 5*b + 7\/6*b**3 + 1\/20*b**5 + 3\/2*b**2. Determine o(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1050\/540*(-7)\/(-6). Let i = -27706\/27 - -1026. Let g = i - k. Calculate the common denominator of g and 89\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**4\/60 - d**3\/6 - 3*d**2\/5 - 6*d. Solve o(r) = 0 for r.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20798673.\nAnswer: 3, 7, 19, 52127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 12 = -12. Factor 1\/4*n**3 + g*n**2 + 1\/2 - 3\/4*n.\nAnswer: (n - 1)**2*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -3d7158?\nAnswer: -3d7155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465539226.\nAnswer: 2, 3, 157, 317, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c + -5c?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 p when three letters picked without replacement from {a: 3, p: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, 12, 77 in decreasing order.\nAnswer: 77, 12, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14\/33 - 8\/33. Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 + -57. Let k be 1\/4 + 15\/4. Suppose -i = -3*u + k*c, -4*u + 0*c + 16 = -c. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 107, 221, 339, 461, 587, 717?\n\"Answer: 2*v**2 + 108*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:37 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 283\/4 + -70. Let d = -11 - -13. Suppose -3 = -5*q + d, -o + 2 = 2*q. Is o >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -19*f**3 - 15*f**2 + 12. Let s(z) = 5*z**3 + 4*z**2 - 3. Give 6*k(a) + 22*s(a).\nAnswer: -4*a**3 - 2*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-two fifths of a millennium?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:42 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2. Let w(t) = 47*t**2 - t. Determine w(s(z)).\nAnswer: 188*z**4 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11*-0.436\nAnswer: -4.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/3674825 and -74\/483.\nAnswer: 11024475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 177?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2829\/5 + -19713\/35. Find y such that -3*y + 9\/7*y**3 + t + 3\/7*y**4 - 9\/7*y**2 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.228781 tonnes in micrograms?\nAnswer: 5228781000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 106449, 212919, 319363, 425769, 532125, 638419?\n\"Answer: -2*v**3 - v**2 + 106487*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 6c6c2a4?\nAnswer: 6c6c29e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (17 - 0)*(-1)\/(-19).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -449361.4 in -2, 2\/7, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(80\/6))\/((-20)\/(-100)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*2\/(-4)*-2. Let v be (x\/(-3))\/((-7)\/(-87)). Suppose 117 = -24*c - 99. Which is greater: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 21 = 2*g. Let q be (-5 - -3)*63\/(-6). Suppose -3*u = -3*b - 0*b + q, u = 2*b - 10. Calculate the highest common factor of b and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 45*n - 3. Let x(u) = 128*u - 7. Let d(m) = -17*g(m) + 6*x(m). Determine d(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -208833, -207624, -206415, -205206?\n\"Answer: 1209*d - 210042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)*36\/(-2). Let q(i) = 2 - 1 - g*i - 4*i. Is q(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 58. Give o(0).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2613.868 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 16.1. Let r = -9 + w. Let z = 8 - r. Which is the third biggest value? (a) z (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*h - 3*i, 3*h + 0*i + 4 = -2*i. Suppose -2*w = -6*w. Sort -5, w, h.\nAnswer: -5, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000111000111111 (base 2) in base 14?\nAnswer: 60cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -444, -432, -420, -408?\n\"Answer: 12*o - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.2525 (c) -1.7 (d) 0.5 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 13*u**2 - 33*u - 21. Let h be p(13). Let c = 1589 - h. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10799 + 922*f - 10799.\nAnswer: 922*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 851*q**4 - 181 + 237 + 280 + 191 - 36 wrt q.\nAnswer: 3404*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12257 and 59122?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 13960070 and 13960072 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2. Let z(x) = 3*x**2 + 5. Let a be z(0). Let i(m) = m - 5. Let o(g) = a*b(g) + 2*i(g). Let h(j) = -8*j. Determine h(o(t)).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.4 + -77.2. Let a = 72 + o. What is a rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 46*p**3 + p**2 + 8*p - 3. Let l be k(4). What is the highest common divisor of l and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Let n = -45\/364 - 1\/52. Let h = -2.3 + 1.9. Which is the third biggest value? (a) 1\/4 (b) h (c) n (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*h + 5*h - 5, 0 = 3*h + 5*k - 25. Suppose 2*m = -h*m + 290. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + 4*z**4 + z**4 - 4*z**4 + 2 - 2 + (-3 + 0 + 1)*(3*z - 3*z + 2*z**4))*(-25 - 1 + 9).\nAnswer: 85*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1486 + -463. Does 33 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39678000 to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.034 + -0.033978. Round s to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63 - (0 + -10 - 8)) + 10 + 1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14)\/q**(-22)*(q\/(q**(7\/5)*q)*q)**50)**(-1\/5) assuming q is positive.\nAnswer: q**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10638 from 16.\nAnswer: -10622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 424 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**2. Let t(i) = i - 1. Let f(d) = 8*d - 1. Let v be f(2). Let u(q) = -q**2 + 5*q - 5. Let x(w) = v*t(w) - 3*u(w). What is s(x(k))?\nAnswer: 63*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21005*p**3 - 21073*p**3 + 42131*p**3.\nAnswer: 53*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 2, z: 1, r: 2, v: 2, e: 1}. What is prob of sequence ru?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 7*a**2 + 4*a - 2. Let f be z(6). What is the remainder when 20 is divided by 66\/4*f\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.3 (c) -5\/7 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 14*q + 57. What is the remainder when j(-3) is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19868 - 3.0875562.\nAnswer: -19871.0875562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28488 = -1435*c + 2622*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 17*l - 26. Let x(i) = 52*i - 74. Let z(h) = -17*f(h) + 6*x(h). Is z(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p + 2*p**2 - 5*p + 2*p**3 to m*p**2 + s*p + c*p**3 + b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*w - 22. Suppose -2*k + 4 = -4*r, 2*r + 22 = 3*k + 4*r. Let m = k + w. Which is the third biggest value? (a) -0.1 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*l**3*p**3 + l**3*y + 2*l**2*p**3 - 428*l*p**3*y - l*p**2*y + p**2*y wrt l.\nAnswer: -54*l*p**3 + 6*l*y + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1809 divide 52115481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 343, -0.5, 185\/84, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 6*y**2 - 4. Calculate l(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/14135112 and -101\/13152.\nAnswer: 56540448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(7\/3)*n)\/(n**(-23)\/n*n) assuming n is positive.\nAnswer: n**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/3, -15\/26.\nAnswer: -15\/26, -1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16812.\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 - 66*t**2\/5 - t\/5 + 66\/5.\nAnswer: (t - 66)*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*o + 30*o + 26*o)*(78 - 44 + 31).\nAnswer: 6955*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 4. Let r(c) = -2 + 1604*c - 3223*c + 1621*c + 6*c**2. What is the remainder when r(i) is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282248?\nAnswer: 2, 35281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-1014.\nAnswer: 405.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*p**2\/5 - 2410536*p\/5 - 344362\/5 = 0. What is p?\nAnswer: -172181, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 88\/3*x - 88\/3*x**3 - 448\/3 + 148*x**2 + 4\/3*x**4 = 0. Calculate x.\nAnswer: -1, 1, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*f + 394 = 0, 4*p + f - 1538 = 2*f. Calculate the highest common factor of p and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127 + 124. Let w(j) = 4*j**2 + 12*j - 2. Let n be w(u). Let q(c) = c + 1. Let y(x) = -2. Determine n*y(h) - 3*q(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -73 and -24.\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -17. Let z = -3 + 2.5. Sort k, 0, z in decreasing order.\nAnswer: k, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.055 + -0.345. Let p = 87.7 + -83. Let y = p + -5. What is the nearest to -2 in y, 1\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - x + 7. Let d be s(0). Let c(p) = p + 6. What are the prime factors of c(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 94*t - 7. Is p(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000180286 rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 441*c - 878. Determine m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 5 + -9 + 4 + (-1 - -4) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + -98 - -127 - 147.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 15 = -667*s + 667*s, o + 13 = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150923, 4, -3, -1, 5, 2 in ascending order.\nAnswer: -150923, -3, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.0723 + -0.9277. What is the second biggest value in -0.01, -0.5, d, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -18*z + 53. Let w(y) = -8*y + 28. Calculate -3*a(t) + 5*w(t).\nAnswer: 14*t - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (0 - 0 - -10) + (-6 - 0)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**5\/5 - 148*q**4\/5 - 14924*q**3\/5 - 71724*q**2\/5 - 99288*q\/5 - 42336\/5 = 0?\nAnswer: -42, -3, -1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*p + 44 + 1, -p - 5*m = 18. What is the remainder when 8 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 10*h**2 - 9*h - 1. Let f = 116 - 56. Suppose 6*q + 5*j + 40 = 3*q, f = -5*q - 5*j. Is o(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122 + 232?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*p + 8*p**2 + p**3 - 2*p**4 - 8*p**2 to a*p**3 + b*p**2 + l*p + h + k*p**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 142*k**2 - 790*k + 3475. What is z(-136)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-6))\/((-9)\/(5616\/(-130))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 195, 399, 603, 807?\n\"Answer: 204*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v - 26. Is 20 a factor of r(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -790\/3 or -264?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 3:05 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:22 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 i, and 1 b when four letters picked without replacement from {q: 6, d: 8, i: 3, b: 1}.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 4*b + 6*g - 4*g, 5*g = -25. Which is greater: b or 23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**5\/10 + 37*y**3\/6 - 65*y**2\/2 + 50*y. Differentiate o(s) wrt s.\nAnswer: 6*s**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 4:49 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*f + 87 - 71, 0 = -f + u + 12 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1001*z**3 + 678 - 678.\nAnswer: -1001*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 416*i + 5984. What is p(221)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.85 - 10. Let q = -0.15 - d. Let m be ((-3)\/15)\/((-2)\/(-8)). Sort 5, m, q in ascending order.\nAnswer: m, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.277 - 0.28. Let r = -3.997 + v. What is the second biggest value in 3, r, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*d - 25 - 25. Put d, -2\/7, -3\/4, -2\/9 in decreasing order.\nAnswer: d, -2\/9, -2\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728.19 years to months.\nAnswer: 8738.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2195 - -3094. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r - 7. Let f(x) = 17*x + 13. Let w = -18 + 20. Suppose -3*b - w*b = -35. Let m(g) = b*l(g) + 4*f(g). Determine m(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -30, -80, -180, -348, -602, -960?\nAnswer: -1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -78. Let p(u) = -u + 35. Let y be p(n). Solve 2*l = 3*s - y, -2*s = -4*l - s + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*s - 3201 + 6831. Solve -27*p = -29 + s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, -1, 111, -104 in decreasing order.\nAnswer: 111, -1, -3, -19, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1764)\/196*510\/(-270).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.8 (b) 261 (c) 0.05 (d) 2\/5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**4 + r + 2. Let t be (3 - -3)*(-2)\/6. Let c(s) = s**4 - s - 1. Let x(y) = t*c(y) - k(y). Find the second derivative of x(l) wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, 0.2, -4\/15851, 2\/7.\nAnswer: -4, -4\/15851, 0.2, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and 7.96485.\nAnswer: 8.00485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1635 = -4*t + 1635. Suppose 8316 = 36*y - t*y. Does 77 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wkkkwkk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244676027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -11 - 1 - -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-2) - (-15)\/(-6). What is the closest to w in 0.4, -5, 2\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*f + 53 - 43 - 47 + 37.\nAnswer: 132*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 192615375 to the power of 1\/2, to the nearest integer?\nAnswer: 13879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnkakkkaa. Give prob of sequence nan.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, o: 2, b: 3}. What is prob of picking 1 o and 1 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 47*l + 1. Determine w(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1 - (5 - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 9, 7, 61, -2\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 1, l: 1, z: 1, t: 1, e: 1}. Give prob of sequence tzed.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 60*j - 65*j - 20, 0 = -5*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpmm when four letters picked without replacement from pmmplmpm?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -584 and -0.05.\nAnswer: 29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -3. Let o be 4 + 3 + t + -2. Suppose -97 = -5*z + u, 3*z - o*u - 48 = -0*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253811, 253626, 253459, 253316, 253203?\nAnswer: 253126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37869 and 63921?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 1 + 2*g + 2*g)*(g + g - g)*(0*g + 2*g - 4*g).\nAnswer: -6*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 884460 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -5. Let t = -11 - u. List the prime factors of (t\/4)\/(2\/(-28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 x when three letters picked without replacement from lllllllxlxllllplx?\nAnswer: 117\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 + 237. Let o = f - 72.00034. Round o to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13143*j = -13142*j + 5*w + 33, -2*j - 22 = -w for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13431838.\nAnswer: 2, 7, 211, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2378)\/105821 - (-800)\/19758.\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/10889820 and 119\/810?\nAnswer: 98008380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 198776131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3298 - 3275. Suppose 3*d - 3*u - 15 = 0, 0 = -2*d - 3*d + 3*u + 21. Let b be (5\/2)\/((-4)\/(-8)). Solve -b*t + d = 2*l + 16, -5*l - r = 3*t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 322 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + 8. Suppose -3*h + x = 6. Solve -3*i = 3*j - 3, -3*i + h*i + 12 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/42114304 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-27 - 11 - -1).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x**2 + 810*x - 15. What is b(-4)?\nAnswer: -3383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 5*i**2 - 2*i - 10. Let g be w(-5). Solve 0 = -g*x - 2*x + q - 14, -5*q + 15 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 60 = -3*u - 54, 5*u = 4*v + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2. Suppose 0 = -5*l - u + 3*u + 4, -8 = 2*l + 4*u. Let s = l + 0. Let y(w) = -w + 0*w + s*w. Calculate x(y(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*4*6)\/sqrt(7))\/(sqrt(300)*-6*1 - sqrt(300)).\nAnswer: -24*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2736 - -0.0632. Let n = d - -30.5504. Let f = -31 + n. Round f to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 15*h. Let i(n) be the third derivative of -1\/30*n**5 + 0 + 0*n + 0*n**4 + n**2 + 0*n**3. Give p(i(s)).\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t**2 - 56*t**2 - 11*t**2 + 5*t**2 + t**2.\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 869090933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 377 - 112. Let t = v - 100. What are the prime factors of t?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -7\/30*w**6 - 8\/3*w**3 - 6\/5*w**5 - 2\/5*w - 1 - 5\/2*w**4 - 3\/2*w**2. Let l(i) = 0. Calculate i.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 15. Let b be g(3). Let p = -15 - b. Which is smaller: p or 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t**2 + 36*t**3 - 24*t**3 + 104*t**3 + 9*t**2 to the form b + j*t**3 + g*t + a*t**2 and give j.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2975 + -408. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 1:43 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9484145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**2*w**2 - 4*l**2 - 50508*l*w**3 + 4*l + 27 wrt w.\nAnswer: -4*l**2*w - 151524*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -5. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpppbpppp. Give prob of sequence bp.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 209853318 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2276 and 12376.\nAnswer: 14652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-25) - (-6)\/10. Suppose 4*d + 3 - 75 = 0. Suppose c - 2*m = -6, -4*c + x = -2*m + d. Sort c, 4, -5.\nAnswer: -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102707687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 190.5577ug?\nAnswer: 0.0000001905577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2258)\/(-3387)*(-54)\/(-153)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -90*d**2 + 133*d + 428. What is f(-3)?\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4759 - 4755. Let p(u) = 4*u - 12. Give p(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p - 12. Let h be (-6)\/((-6)\/p) + -2. Solve -i + 3 = -h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122103656?\nAnswer: 2, 17, 52813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {p: 4, g: 1, w: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/14*5\/(-25)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(sqrt(275) + (sqrt(275)*2 + 2 - sqrt(275)) + sqrt(275))**2*3.\nAnswer: -223110 - 5400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2696*l - 55325. Calculate f(-18).\nAnswer: -6797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 193579081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 13057800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(720) - sqrt(720) - sqrt(720)) + 2 - sqrt(720)*2*4) + (-2 + sqrt(720) + 2 + sqrt(720))*-5 + 4 + -3)**2.\nAnswer: -1368*sqrt(5) + 259929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -31 - ((40 - 19) + -35) - 9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 337 + -334. Let x be (m*2\/(-4))\/(201\/(-804)). What is the greatest common divisor of x and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/157672 and 11\/2.\nAnswer: 157672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.5? (a) -1\/8 (b) -38 (c) -4 (d) 7 (e) -1\/4 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 7:45 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -70*d - 1. Let b(c) = -3033*c + 5. What is b(x) + s(x)?\nAnswer: -3103*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 19.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 2. Let f be y(3). Let q be (-1*(f - -3))\/(-1). Suppose -8 = -4*r, q*x - r - 1599998 = 3*x. Round x to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 24509.8 seconds?\nAnswer: 24509800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -150 - -142. Let x(l) = l + 8. Let c be x(m). Solve 4*o + 4*u - 8 = -c*o, -5*o - 22 = -3*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/5)\/((-2)\/(-10)). Let r be (q + 9)\/((-3)\/2). Let u be (36\/30)\/(r\/90000). Round u to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -33. Let k be -3 - (-356999 - (a + 2)). Round k to the nearest ten thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -31851\nAnswer: 4\/31851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than or equal to 80\/317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from hwwpwhwwwhwppyppwp?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20169974 + -2?\nAnswer: 20169972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140700910 by 70350455.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4378*f**2 - 4386*f**2 + 182*f - 182*f.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -294 by -4.\nAnswer: 147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1014 divide 1761135306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.2 + 16. Let q = -0.6 - s. Let u = 187.3 - 187. Which is the third biggest value? (a) 0 (b) q (c) u (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 2, 488753 in decreasing order.\nAnswer: 488753, 6, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 14*m - 10. Let s be -1 - (2 + -16 + 4). Let f = -21 + s. What is the remainder when 55 is divided by j(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31136 < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 5, s: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 2124?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9793\/16 - 166283\/272. What is the common denominator of -145\/252 and r?\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/(-3)*(62\/8 + -4). Let t = 63 + z. Calculate the greatest common factor of 153 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.016759 in -3, 0.4, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 - (-14 + (-9 - -16) - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 minutes before 1:20 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9300*c**2 + 6*c - 6*c.\nAnswer: 9300*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 - 137.6. What is q rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108657 and 444?\nAnswer: 16081236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*j - 147, -21 = -3*s + 4*s + 4*j. Let x = s + 76. What are the prime factors of x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12358761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 + 448*f**2\/3 + 8510*f + 16428.\nAnswer: 2*(f + 2)*(f + 111)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3869539 or -3869520?\nAnswer: -3869520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8228 - 24422\/3. Let z = y + -653\/6. Find the common denominator of z and 1004\/(-168) - 2\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 2*z**3 - z**2 - 2*z + 3*z + 97 - 39 to s*z + k + g*z**3 + d*z**2 and give k.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from uagaaua?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) 5 (c) 0.3 (d) 2 (e) -3064\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -2*i**2 + 0 - 2*i + 5\/6*i**4 - 1\/2*i**3. Is w(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 13 - 4) + -2 + -6 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-27)\/(-18) + -4. Sort v, 25, 5, 3 in descending order.\nAnswer: 25, 5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33342 - 444124.3.\nAnswer: -410782.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 911, -29.\nAnswer: -29, -4, 911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 17}. Give prob of picking 3 v.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -879260 divided by -219815?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 66278.\nAnswer: -6627.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j**3 - j**3 + 0*j + 4*j wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 12. Suppose v - u*v = -17. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.09, 2, 0.2, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 838*x - 540 = 793*x. Solve -x = -1527*z + 1521*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -434*c + 69326. Calculate s(160).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6*-239.1925\nAnswer: -1435.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*9\/12*(-152)\/12. What is the nearest to 0.2 in -4, d, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + -17. Calculate the common denominator of j and (36\/(-10) - -4) + 1630\/(-75).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 12130312000331?\nAnswer: 12130312001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-594)\/36*(-40)\/(-45) - -7?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -16*v**2 - 3*v - 80. Let z(q) = -81*q**2 - 14*q - 398. Let n(x) = -11*y(x) + 2*z(x). Is n(-9) a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + l + 12 = 34, -3*l - 14 = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49043274.\nAnswer: 2, 3, 7, 1167697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1405 (base 6) to base 13.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -6. Let x = a - -3.2. Sort x, -5, 2 in decreasing order.\nAnswer: 2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + d = 8, y = 5*d + 9 - 33 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 5*q + 24, -4 = u - 0*u - q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*c + 173*c = 12682. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 54. Let p be 0 + y\/(-5) + 3892\/20. Let w = -138 + p. List the prime factors of w.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-24) + 33\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -754de + -1?\nAnswer: -754df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 433\/(24\/60 - (-3)\/5). Which is smaller: 434 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {b: 5, m: 4, u: 8, o: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-330)\/77)\/(-10))\/1\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*d - 54 = 0, -2*j + d + 70 = -d. Suppose 6*n + 13 = j. Solve 3*g = f - 4, f = -n*g + g + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 6510837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*k = 4*v + 233, 4*k + 16 = 0. Let c be 530\/v - (-2)\/(-9). Let g = -11 - c. Which is smaller: 8\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*k + 2951, 6 = k + 2*k. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 47*m - 74. Sort 8, m, -3 in descending order.\nAnswer: 8, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245 and 8905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-162)\/((3\/9)\/(1\/(-3)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 12 = -3*m. Does 12 divide 36\/15*(m - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 117*z - 2*z**3 + 164*z + 14*z + 2 + 12*z**3.\nAnswer: 10*z**3 + 295*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/24*(-15)\/(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + r - 2. Let w(k) = 4*k - 5*k - 1 + 2*k. Let l be w(-3). Let a be (-20)\/9 - l\/18. What is u(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*c**4 + 4 + (4*c - 4*c - 4*c)*(-84*c**2 + 84*c**2 + 14*c**3).\nAnswer: -54*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03117, -37, 0.01?\nAnswer: -0.03117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 12*k - 21. Let m be i(-10). Sort m, -3, 28 in decreasing order.\nAnswer: 28, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.469 + -0.169. Let m = 5.300000095 - v. What is m rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 s when three letters picked without replacement from {s: 3, m: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -867, 1, -4, -124 in descending order.\nAnswer: 3, 1, -4, -124, -867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -472851 times 34\nAnswer: -16076934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3 - 1858*b**2 + 14768*b - 29472 = 0.\nAnswer: 4, 921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-5)\/2)*0. Let r(b) = 24*b + 19. Let s be r(-1). Let j be 1\/(616\/(-21) - s). Which is greater: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -5 (b) -0.7 (c) -3 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -672646, -1345267, -2017892, -2690521, -3363154, -4035791, -4708432?\nAnswer: -5381077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2673)\/7524 + (385\/(-133) - -3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53444543425 + 0?\nAnswer: 53444543425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 8, -2, 0.2, 8.97, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 9:07 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1243 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7134733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 4*d. Let p(v) = 6*v. Give p(r(k)).\nAnswer: 18*k**2 - 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - 1.2. Let k = -115 + 113. Which is the nearest to k? (a) y (b) 5\/4 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138\/7245)\/((-21)\/(-315)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5068 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 358498 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/3 + (-256)\/(-6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:10 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/365 and -7\/8?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**6\/1440 - u**3\/3 - 4*u. Let b(j) be the second derivative of d(j). Factor b(n).\nAnswer: -n**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24cc - 80?\nAnswer: -256c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + -4 + -14 + 5 - (-2 + -14 + 2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101001100 + -101?\nAnswer: -100101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/2 + 3 + -7004*1. Round b to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96285.153 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3 - 3 - 10*z + 2*z**2 - 2*z**3 + 11*z + 9*z**5. Let y(m) = m**3 - m**2 + m. Let n(h) = -j(h) - 2*y(h). What is the second derivative of n(q) wrt q?\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 49. Let b = -0.52 + -6.48. Put i, -3\/4, -4, b in decreasing order.\nAnswer: -3\/4, i, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 3, 143085 in ascending order.\nAnswer: 3, 27, 143085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddddmmdd.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 29*h**2 - 594*h + 1957. Determine c(4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66793 and 1.6741.\nAnswer: 111818.1613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 363 - -233. Suppose 0 = -3*i + b + 109. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g + 52*g - 152 = 75*g - 5*a, -4*g + a - 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875*m**3\/2 - 2629*m**2\/2 + 881*m - 4 = 0.\nAnswer: 4\/875, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 150 = 7*q. Let p(x) = 500*x + 554. What is the smallest common multiple of q and p(-1)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001100011101100010 (base 2) to base 5.\nAnswer: -40010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from svssswsswvvvs?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/40*1*1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261238919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 1, 4, 9, 5 in increasing order.\nAnswer: 1, 4, 5, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 1 - (7 + -7). Suppose -3*r + 6 = 3*x, 4*x + 1 = -2*r + r. Calculate the greatest common factor of b and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 449939 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17\/(-2))\/((-1)\/(-8)). Suppose -s = -4*j - 9, -2*s = 2*s - 20. Let m = j - f. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -742399013, -742399011, -742399009, -742399007?\nAnswer: -742399005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + c = 1, 2*c + 1 = 2*i + 7. Let h be (i\/2)\/((-12)\/(-216)). Solve 0 = -2*o - w - w + 14, w - h = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, -14, -36, -58, -80?\n\"Answer: -22*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**7\/525 + 7*x**6\/75 - 6*x**5\/5 + 104*x**4\/15 - 64*x**3\/3 - 382*x**2. Find r such that o(r) = 0.\nAnswer: 2, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = -6*u + 3*u, -n = 4*u - 12. Suppose -50 = -2*t - n*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1206128.39 - -0.053\nAnswer: -1206128.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 29*f = -5612. Suppose -22*x = -18*x + 5*w - 325, 3*x - f = -4*w. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.862139 to 3 dps.\nAnswer: 0.862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(-7)*x)*x**(-6)*(x**2)**4 assuming x is positive.\nAnswer: x**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -591, -502, -393, -264, -115, 54?\n\"Answer: 10*y**2 + 59*y - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208920842?\nAnswer: 2, 13, 31, 127, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5 + 2 + 16*j**2 - 11 + 19*j - 2. What are the prime factors of q(3)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -491, -1988, -4487, -7988?\nAnswer: -12491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-6) + 16\/(-6). Let m = -7367 + 7367.1. Which is the nearest to -0.1? (a) -0.1 (b) -1 (c) o (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-16)\/r**3)**18 assuming r is positive.\nAnswer: r**(-342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 64 = 4*z, -24 = -5*z + j - 80. Let g = 8 - z. Suppose 0*h = 5*h - g. Solve -h*m - 5*s + 24 = -0*s, 0 = -3*s + 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 2, y: 1, a: 2, d: 1}. What is prob of picking 1 d and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - g**2 + 4*g + 2. Let k(i) = 2*i**3 - 2*i**2 + 9*i + 4. Suppose -27 = 2*z + z + 4*v, 3*v + 36 = -4*z. Give z*a(n) + 4*k(n).\nAnswer: -n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 5*x - 3. Let d be r(6). Solve -p = p - 4*a, d*p + 22 = -5*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-4*g**2 + 4*g**2 - g**2) + 4*g + g**2 - 4*g + (25 - 25 + 17*g + (-2 + 2 + 3)*(-g + 4*g - 2*g))*(-g + 2*g + 6*g).\nAnswer: 143*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 16*u + 65. Let g be v(9). What is the greatest common divisor of g and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116 is divided by 112?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*c**4 - 25*c**3 - 2*c**2 - 1169*c.\nAnswer: -720*c - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 401552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -87645, -87619, -87581, -87531?\n\"Answer: 6*h**2 + 8*h - 87659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 0.5, -3, 181?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 66*h - 3. What is i(3)?\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, n: 4}. What is prob of sequence nr?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1112, 2210, 3308?\nAnswer: 4406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-3))\/((-76)\/(-63) + 130\/(-117)). What is the highest common factor of i and 665?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 4*s**2 - 2*s + 2. Let o(t) be the first derivative of t**4\/4 - t**3 + t**2\/2 - t - 164. Calculate -4*o(q) - 3*r(q).\nAnswer: -q**3 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 199*g**4\/12 + 43*g**3\/3 + 105*g - 1. What is the second derivative of o(n) wrt n?\nAnswer: 398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 - -31. Let h = 195 + -159. Let u = h + f. Which is the biggest value? (a) -2 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) 5\/4 (b) -0.5 (c) 2\/9 (d) 4 (e) 5\/464\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 24*r = -3*j + 273, j - 240*r - 55 = -492*r + 247*r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, -3\/4, -2, -11, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -186*y + 183*y - 5*w - 25, 0 = -35*y + 4*w - 541 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**5\/60 - u**4\/2 - 7*u**3\/6 - 2*u**2. What is the remainder when 15 is divided by a(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -66. Let y = -6 + 8. Which is the nearest to y? (a) j (b) -2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -593 + 221. Let b = r + 401. What is the greatest common divisor of 203 and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 3045.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -299.2 and -3?\nAnswer: 897.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 7:46 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -338 by -5.\nAnswer: 338\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000183317856 rounded to 7 decimal places?\nAnswer: -0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 16. Let w be k(-5). Suppose -24 = 8*v + w*v. List the prime factors of (-1)\/v - 2849\/(-22).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280\/(-49)*(-7)\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aarrrrarrr. Give prob of sequence arr.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930616 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 596355.9l?\nAnswer: 596355900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.3, -0.03, -3.9 in decreasing order.\nAnswer: 0.3, -0.03, -0.1, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 12*b + 1. Let j(x) = 2*x + 8. Let w be j(-7). Let m be c(w). What is the units digit of ((4 - 3)*-2 - m)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 75, 7 in ascending order.\nAnswer: -1, 5, 7, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345064530 = 97*k + 345056382 for k.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (17 - 5) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 16 = -5*k, 2*k - 6 + 2 = 2*x. Suppose 0 = -k*d + 5 + 1. Is (2 + -3)*(-254)\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 8228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 17, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h + 24. Determine z(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 10 - 1\/9*d**4 - 2\/9*d + 0*d**2 + 2\/9*d**3. Let l(s) = 0. What is s?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/9604953 and 53\/9.\nAnswer: 9604953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 15 = -5*t, 4*t = i - t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/(-20 - -39) + -2 + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g*g\/(g\/(g*g\/g**3*g))*g)\/(g**(-5\/4)*g**(-3\/5)\/g))\/(((((g**2\/g)\/g)\/g)\/g)\/(g\/(g*g\/(g*g**(-2\/25)))))**1 assuming g is positive.\nAnswer: g**(777\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.93 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - j**2 - j + 22. Calculate the remainder when h(0) is divided by 2\/(-3)*3 + 50\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 7*m - 1\/6*m**4 + 0 + 0*m**2 + 0*m**3. Let x(s) = -34*s**2. Give j(x(a)).\nAnswer: -2312*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*s + 17, 4*a = -a + 4*s + 11. Let m(c) = -c**3 + 2*c**2 + 3*c - 3. Let y be m(a). Let z(k) = -2*k**2 - 3*k + 1. Calculate z(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/180 and 79\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -220.893 - 0.107. Let u = y - -222.82. Let b = 0.47 - u. What is b rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1012 or -1010?\nAnswer: -1010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11100011100111 (base 2) to base 15\nAnswer: -44b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/68)*b**(-12))\/((b**(-2\/5)\/b*b*b)\/(b\/(b\/b**(-2\/15)*b))*b**(-3\/23)) assuming b is positive.\nAnswer: b**(-319469\/23460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 + 112?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 14203175.\nAnswer: 14203173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - 17*k**4 - 3*k + 16*k**4 - k**2 as n*k + j*k**3 + m + x*k**4 + t*k**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -174, -178, -184, -192, -202?\n\"Answer: -m**2 - m - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*p - 15. Let y = 1.6191 + -1.6191. Is p < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6*s + 4*s = 16780, 2*s = d - 4201. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + q**2 + 4)*(-21 + 12 + 31)*(6 - 2 + 0)*(-q**2 + 3*q**2 - 6*q**2) in the form l*q + w + n*q**4 + f*q**3 + i*q**2 and give n.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - 11100100000101000101?\nAnswer: -11100100000100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1293*v**2 - 460*v + 1379*v**2 - 462*v + 930*v + 2 to b*v**2 + h + z*v and give b.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -210 - -189. Let m be f\/(-6)*(2 + 40\/(-35)). Sort m, -0.1, 0 in descending order.\nAnswer: m, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -21 + 9*i**2 + 11 + i + 11. Let n be -1 - (0 - 0\/2). What is the smallest common multiple of a(n) and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 62. Suppose 0 = 4*z + r - 26. What is the lowest common multiple of 20 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqq. What is prob of sequence llll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(825) - sqrt(825)*-1)*5)\/((2*sqrt(198))\/((sqrt(288) - (-2*sqrt(288) - sqrt(288)) - sqrt(288)) + sqrt(288) - sqrt(288))).\nAnswer: -900*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*o - 6, -o - v - 5 - 3 = 0. Let l = -13 - o. Let c be (-3)\/(-6) - 2\/(-4). Solve k + c = -l*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*2\/16*(28 + -28). Put 2, c, 7, -5 in increasing order.\nAnswer: -5, c, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-7))\/((-2)\/(-14)). Let w(z) = -z**2 + 5*z - 1. Determine w(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*j + 58*j = -2*s + 10, 4*j - s = 13. Let z(k) = -k**3 + k + 2. Let n be z(0). Calculate the common denominator of n - j - (-58)\/(-42) and 73\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 6*k**2 + 12*k - 5. Let m be h(5). What is the greatest common divisor of 32 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h + 20. Suppose 0 = -5*g + 4*g + 3*k + 15, -7 = -5*g - 2*k. Let a be g\/(-18)*-3*-12. Let d be c(a). Solve 0 = -4*f, -3*z + f - d = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 361 and 16891?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.288 and -0.9059.\nAnswer: 0.3821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:35 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5086 is divided by 1013?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 0, 20, -2 in descending order.\nAnswer: 20, 1, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-292)\/100 + 0 + -10*5\/625. Which is the closest to 32? (a) f (b) 5 (c) 0.4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2868*g**3 - 73*g**2 + 7*g - 2075 wrt g?\nAnswer: 17208*g - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1677*g**2 + 3*g. Let u be i(1). Suppose 12*l = 5*l + u. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**2 - 3*z**2 + z**2)*(-6 + 12 + 8)*(-z + 4*z**2 + z) to j + d*z**2 + k*z + v*z**4 + b*z**3 and give v.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/65 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s. Let t(f) = -19*f + 15. What is c(t(u))?\nAnswer: -95*u + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 17*c - 20. Let b(l) = -3*l**2 - 33*l + 41. Let a(u) = -2*b(u) - 5*s(u). Determine a(17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u - 5*u + 28*u - 2*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldlllllllldll. Give prob of picking 2 l and 1 d.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 318*a**2 + 269*a**2 + 102*a**2 in the form m + j*a + r*a**2 and give r.\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 + 0 = 0. Let n be (3\/6)\/((-38)\/(-12) - 3). What is the second derivative of -3*i**4 + i + m*i**4 - i**n + i**3 wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 184? (a) 3 (b) -22 (c) -1 (d) -322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 15, j: 4}. Give prob of sequence jpj.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/15*(-416)\/780*(-15)\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21313003 - 321?\nAnswer: 21312022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 8*j + 8. Let k be s(-10). Let p be 8\/k - (-1024)\/42. Let i = -25 + p. Which is the closest to -2? (a) i (b) -3\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219251\/10353 + 1243\/58. Find the common denominator of k and 79\/252.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36404 is divided by 18178?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111215 is divided by 37026.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 5 = -5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 4. Let j be (-16)\/u - (-6)\/3. Let f(y) = y**2 - 3*y + 4. Let l be f(3). What is the second smallest value in -1, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y - 44*y + v = 8, -5*v = -5*y - 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202144208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14\/315 + (-858)\/10530 + 971\/(-27)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(38)\/sqrt(2) + -4))**2 + -2.\nAnswer: -128*sqrt(19) + 558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 650 - 645. Suppose 3*d = 5*j - 2*d - 700, -n*j - 5*d + 740 = 0. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 3*m**2. Let d be i(-3). What is the units digit of (-2)\/(-1) + d + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -22*j + 18*j. Let c = -25 - -49\/2. Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 22 = -13. Suppose -q + 13 = j*d, -q = -d - 3*q + 8. Suppose 4*y = -k + 789, 0*k = -d*k - y + 1571. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, -1, 13, -4574 in decreasing order.\nAnswer: 13, -1, -80, -4574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(100\/(-48) + 2). Let n be ((-32)\/12)\/((-8)\/d). Suppose 5*c - n*x = -1, -c - 2*c + 5*x = 11. Solve -5*j + 5*y = 4*y + 13, c*y + 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsh when three letters picked without replacement from hhss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14380 - 18*u + 14380.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 453, 452, 451?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 219*m - 125*m - 1128. Solve 32 - 41 = -3*u + 2*o, 4*o + m = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-20))\/(120\/(-50)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2704885 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (12\/150)\/((-4)\/(-5))*6\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48 - -41?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 0, -6, 3 in increasing order.\nAnswer: -33, -6, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-3)\/12*(-41 + -1). Let d(s) = 2*s + 48. Let x be d(y). Let o(q) = 3*q**2 - 9. Does 33 divide o(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*y - 384 + 3228 = 0, 2*w + 3*y - 2847 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 32*m**2 + 3. Let c(o) be the third derivative of -o**5\/30 - 369*o**2. Give c(d(p)).\nAnswer: -2048*p**4 - 384*p**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 742266289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c - 18. Let m(i) = 3*i - 9. Let b(j) = 5*m(j) - 2*y(j). List the prime factors of b(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205*d**4 - 11*d**3*i**2 - 8*d**2*i**2 - d**2 - 4*d*i**2 + 9*d wrt d?\nAnswer: 4920*d - 66*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 + -82 + (2 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122 - -212022210?\nAnswer: 212021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -7*t + 4*t. Let l = 20 - 46. Let w = t - l. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23458 (base 11) to base 8.\nAnswer: 102036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) - (-14)\/6. Suppose -5*z = -5*r - 25, 3*z - 15 + 0 = r. Suppose 5 - x**z + t*x**3 - x + x**4 - 3 - 2*x**2 - 1 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4 - 188480*s**3 + 3204578*s**2 - 15080992*s + 12064896 = 0.\nAnswer: -94257, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4 = 2*c. Suppose 0 = 2*n + c*n - 8. Suppose -n*m = 5*f - 3*f - 62, -f = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*m + 55, 2*t - t = -4*m - 21. Let u be (-12)\/28 + t\/(-7). Suppose -4*c + u*r = -c - 24, c + 3*r - 19 = 0. Solve -i + c = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -96, -192, -336, -534, -792?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 32730529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10*p + 18. Let y(i) = 29*i + 54. Let z(q) = -8*a(q) + 3*y(q). Find the first derivative of z(u) wrt u.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (20 + -68 + 43)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 2*o - 1. Let v be p(-5). Let i = 34 + -17. What is the greatest common divisor of i and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -252766 (base 11) to base 4\nAnswer: -1201120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 49. Let o = -13 + j. Suppose 2*d + f + o = 5, -3*d - 2*f = 0. Solve 2*z + 6 = k, d*z + 2 = 5*k - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475010.3 decades in years?\nAnswer: 4750103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705*f + 35493 = 12933 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1218)\/116)\/(((-8)\/(-8))\/2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + 65. Solve -6*x - 124 + w = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 9) + (12 - (-8 - -14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80232 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -330131811*h**2 + 3*h - 8226147?\nAnswer: -660263622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*a + 4*a. Let z = 2 + a. What is the lowest common multiple of 12 - (0 - (-1)\/1) and z?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 4:38 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 9*f**2 + 35. Let c(g) = g**2 + 2*g. Let l be c(-5). Let o be d(l). Let u be (-5 - (-25624)\/o) + 2\/(-5). Is u at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -179691605 and -0.5.\nAnswer: 89845802.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1367\/21 - 444\/7. Find m, given that 11\/6 - 1\/6*m**2 + n*m = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*l - 15 + 5, 0 = -5*v + 2*l - 1. Let c be 69\/15 - ((-10)\/25 + v). Let a be 5\/(-3)*12\/c. Put -1, a, -36 in increasing order.\nAnswer: -36, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-4 - -6)) + 7 + -18 + 1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 20. Let u(l) be the first derivative of -2*l**3\/3 - 8179. Give x(u(k)).\nAnswer: 4*k**4 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-9) + 7\/105 + 295\/75\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.15, -5, -2\/105, -0.2, -3\/16, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 less than 11.76?\nAnswer: -17.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60240 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) 2\/7 (c) 1\/30 (d) -0.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7ba9 (base 16) to base 6.\nAnswer: 402321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/21)\/((-2)\/(-3)). Suppose 7*m + 11 + 17 = 0. Put 22, g, 4, m in increasing order.\nAnswer: m, g, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.08453 (b) -2\/13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyam. What is prob of picking 1 y and 1 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s + 1. Let x(q) = -13*q - 51. Let g be x(-4). Let a(j) = -5*j**3 + 2*j**2 + 4*j - 4. Give g*a(h) + 4*t(h).\nAnswer: -h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:13 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*b + 24, 7*h = b + 2*h + 12. Solve -3*d = -3*a + 21, -b*d + 6*d = -a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -377.29 - -0.148.\nAnswer: -377.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36894105.5 + -36894098.14999278. Let q = m + -7.35. Round q to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*i + 8*i. Solve i - 3\/2*b + 1\/2*b**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/4920 and 59\/144.\nAnswer: 29520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2 - 63*v + 297. Calculate f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u - 44 = 16 - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1506041654 + 0?\nAnswer: -1506041654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 3089751224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 451596498, 451596500, 451596502, 451596504?\n\"Answer: 2*g + 451596496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159.12 - -152. Let y = h - -0.12. Let m = -4 - y. What is the second smallest value in -0.2, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7392 and 62076.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5156872934 to the nearest integer?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by 4.\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 4*u + 2. Suppose 0 = -2*h + 5*c + 14, -4*c = 3*h - 5 + 30. Give k(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7968089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/38)\/(69\/(-24) - -2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 9:23 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 39?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 2. Let z be d(5). Suppose 6 = x + 4*a, 7*x - 64 = 2*x - z*a. What is the least common multiple of (-5 - 1) + ((-42)\/(-9) + -2)*6 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvu when three letters picked without replacement from vvvwuveyvuulvvvyey?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 0. Let b(j) = -4*j - 10. Let d be b(v). Solve -5 = p - d*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15983 + -4391. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - i)*(0*i + 3*i + 2*i) + 2*i + 91*i**2 + i - 53*i**2)*(-3*i + 3*i + 2*i).\nAnswer: 66*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24881 - 24880.41195. Round s to 2 dps.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690594086.\nAnswer: 2, 7, 13, 421, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((16\/10)\/((-160)\/(-600)))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**4\/24 + 4*l**3\/3 + 4*l**2. Let w be g(-4). List the prime factors of 3*w*56\/12.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(8*(-6)\/(-18)))\/(18\/64)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*v - 3*m + 5 = 0, -1 = v + 2*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1 + 4*6. What is the highest common divisor of d and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3305 - -3306. Suppose -5*y = 4*w - y - 32, 36 = 4*w + 5*y. Calculate the highest common divisor of w and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 14*m = -1852. List the prime factors of m.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/9)\/((1\/((-306)\/(-85)))\/(-1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 66. Solve y - 6 + 1 = t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12204066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57220604, -1, 0 in ascending order.\nAnswer: -57220604, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 10868*u + 10872.\nAnswer: -4*(u - 2718)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56202.\nAnswer: 2, 3, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46, 62, 56, 28?\n\"Answer: -11*x**2 + 49*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1.5, -377 in ascending order.\nAnswer: -377, -1.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-74)\/112 + 2\/7. Let a be 0 - (0 - 16\/12). Sort a, 2, t.\nAnswer: t, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -88, -6838 in descending order.\nAnswer: 55, -88, -6838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five halves of a year?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 + -284?\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -51 + (8 + 6 - 32) + -3\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658911262?\nAnswer: 2, 17, 29, 31, 21557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 10:22 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8708 = 12*j - 16*j, 0 = f + 3. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 5. Let m be w(-6). Let p = m + 15. What are the prime factors of (p\/(-8))\/((-1)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2294.9010667 + -2294.9. Round l to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 18. Let o be b(9). What is the units digit of 9*(-3)\/o + 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/4)\/((-24)\/(-32)). What is the third derivative of -2*k**2 + 6*k**x + 4*k**6 - k**2 wrt k?\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 + 223. What is the highest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, 97, 249, 473, 793, 1233, 1817?\n\"Answer: 4*q**3 + 76*q - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 1\/1) + 1. Let u = 4828613279\/1432 - 3371937. Let c = 4\/179 - u. What is the nearest to p in -0.1, 0.2, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 3*i**5\/5 - 12*i**3 + 15*i**2\/2 + 130. Find the second derivative of s(g) wrt g.\nAnswer: 36*g**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58877.3 less than 3?\nAnswer: -58874.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(60)\/sqrt(320)).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u - u**3)*(-3*u**2 + u**2 - 7 + 0*u**2).\nAnswer: 2*u**5 + 7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3565.1 from 1223.\nAnswer: -2342.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 36. Let i(z) be the second derivative of 0 - 2*z + 0*z**2 + 1\/3*z**3 - 1\/3*z**b. Solve i(t) = 0 for t.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**0*(x*x*x*x**(1\/3))\/x*x*x**(-11)*x*x**(-7\/5) assuming x is positive.\nAnswer: x**(-121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 17\/43, 7668 in increasing order.\nAnswer: -2\/11, 17\/43, 7668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231 (base 4) to base 10.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 8, -10, 14, -5, -3 in descending order.\nAnswer: 14, 8, -3, -5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - w - 2 - 22 = 0, 3*w = 4*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*a + 32, -5*a - 12 = -0*t - 4*t. Suppose -3*d + 3*p = -2*p + t, -d + p = 0. Solve d*k - 5 = 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/10))**(-1\/6)\/((a\/(a*(a**(1\/2)*a)\/a))\/a*a**(2\/29)))**(-3\/8) assuming a is positive.\nAnswer: a**(-2171\/4640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.2 - -2.2. Let g = 5 + n. Let o = -4.3 - g. Which is greater: o or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*r**2 - 456*r + 534*r**2 - 270*r**2 + 456*r + 8*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 58*k**3 + k**2 - 121*k - 338. Determine g(-3).\nAnswer: -1532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 708180994*k**6 - 1637*k**2 + 133*k + 282 wrt k.\nAnswer: 84981719280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 387.915 to 0 dps.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*a + 0 = -11, -13 = u + 4*a. Let l = -2 + u. Let p be l*(0 + 4) + 1. Solve -p*v - 4 = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -48. Let c = 20.7 + u. Put c, 4, 1\/4 in descending order.\nAnswer: 4, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.08 + 0.78. Let o = 0.1 + t. Let x = -2 + 3. What is the biggest value in 0.2, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**5 + 32*c**4 + 24*c**3 - 32*c**2 - 28*c = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c = 88 - 154. Solve 0 = -c*t - 8 + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26281838 divided by -13140919.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 601, 907, 1213, 1519?\nAnswer: 1825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**5 + 15*o**4 + 885*o**3 + 2505*o**2 + 1638*o = 0.\nAnswer: -13, -2, -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 211 in 145, 3\/4, -1\/20?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.79 - -8.79. Which is the second smallest value? (a) 3\/13 (b) 1\/6 (c) 1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 2*h**2 + 3*h - 1. Let k = 66 + -64. Let i be d(k). What is the common denominator of -4\/7 and ((-77)\/28)\/i - (-249)\/(-20)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1791 + 6666. Which is smaller: m or 4876?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8105 + -756. What are the prime factors of p?\nAnswer: 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/((-2)\/(-24)*-2*-6). Which is greater: b or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 22*j + 14. Let w be z(-5). Let u = 25 - w. Calculate the greatest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g + 8. Let x = 6 + g. Suppose x*d + 6 = 0, d = 3*p - 1 - 23. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 9677 + 7848. Let c = 49177\/14 - n. Find the common denominator of c and (-1419)\/110 + 4*1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7458045 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2673)\/45)\/(-9)*-5. Let q be (7\/3 + 11\/h)\/(-2). Let o = 4.2 + -23.2. Is q bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 2 = -5*s + z, -3*s + 7*z - 44 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10793772 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -504 + 507 + 687 + q**2 - 2*q + 734.\nAnswer: q**2 - 2*q + 1424","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/17)\/g**(2\/9))**(-50)*(g*g\/((g**(-3\/5)*g)\/g)*g)\/(g**(-1\/4)\/g)*(g**0\/g)**(-14) assuming g is positive.\nAnswer: g**(100681\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219 + 2400. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j**3 - 5*j**2 - 35*j - 66. Is w(-19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.39\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + i - i)*(i - 1 + 1 + (3 - 1 + 0)*(3*i - 3*i + i) + 0*i - 3*i - 3*i) in the form q*i**2 + g + u*i and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3*o**4 - 4\/3*o**5 + 0*o**3 + 64\/3*o + 64\/3*o**2 + 0.\nAnswer: -4*o*(o - 2)*(o + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73.5 + -4.5. Let w = 54 + o. Which is the third biggest value? (a) 2 (b) w (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 + 0*c**3 + 0*c**3 + 333*c**4 - 7389*c**2 + 7389*c**2 + (-3*c - 2*c + 6*c)*(1 - 1 + 2*c**3).\nAnswer: 337*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6804 is divided by 120?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k - 1. Let v(q) be the second derivative of 11*q**3\/6 - q**2\/2 + 240*q. What is -5*i(j) + 2*v(j)?\nAnswer: -3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*u - 5*u. Let a(j) = u + 2 - 4 + 8*j + 1. Does 27 divide a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -20\/131 (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 963 - 962.6. Which is the third biggest value? (a) -7 (b) 0.9 (c) r (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114\/7 - 16. Let s = -1475 - -19177\/13. What is the nearest to n in s, 3\/7, 33?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-1 - -4)) + 1 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(300) - (sqrt(300) + -1)) + sqrt(300))**2 - sqrt(300)) + -5.\nAnswer: 10*sqrt(3) + 295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415734*b**3 + b**2 + 4*b**2 + 2*b - 5*b**2 - 831463*b**3 + 415733*b**3.\nAnswer: 4*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 - 7*r + 13. Let z(b) = -2*b**2 - 3*b + 6. Suppose 0 = -2*j + 6*j - 3*s + 280, 5*j + 347 = 3*s. Let a = j + 58. Determine a*z(u) + 4*h(u).\nAnswer: 2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8 = -g + 2*g, -g = -2*i - 5. Let x = 11 - g. Put x, 2, -1 in descending order.\nAnswer: x, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = -3*c. Suppose 230 = 3*b + 5*q, 0 = c*q - 0 + 8. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 2. Suppose 2*d - 4*p = 16, -6*p - 8 = -2*p. Let v be i(d). Does 15 divide 98\/3 + v\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*6\/4*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1135509917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 149 = -40. Calculate the greatest common factor of 297 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in months?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-285)\/(-150))\/((-158)\/711) - (-4)\/5?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*x + 3*z + 3, 5*x - 4*z - 15 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(54\/(-4))*((-120)\/(-4))\/60?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Suppose -1 = -4*i + i + 5*o, o = -4*i + 9. Suppose l = -i*l - 5*b + 8, -l - 8 = -b. What is the closest to c in -1, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 198 - 120. Suppose 0 = -0*u - 3*u + n. Let p(s) = 18*s + 13*s - u*s - 1. Calculate p(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 77892 + 51?\nAnswer: 77943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 1, s: 7, j: 3}. Give prob of sequence js.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 0*w**4 + w + 0*w**3 + 0 + 3\/2*w**2 + 3\/20*w**5. Find the first derivative of m(o) wrt o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/3*(182\/12)\/13*-2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**2 - 175*u + 24. Calculate g(-20).\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -279 - -283. Suppose -3*t = t - 41596. Determine d, given that -t - 8*d**2 - p*d + 10403 - 16*d**2 = 0.\nAnswer: -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-1070)\/(-200) + 105\/(-20) + 4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 16*z**3 + 36*z + 12 + 10*z**3 + 22 + 19*z**2 - 25*z**3. Let x be y(-17). Factor 4\/3*u**5 - 4\/3*u**2 + x*u + 0 + 4\/3*u**4 - 4\/3*u**3.\nAnswer: 4*u**2*(u - 1)*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8048952 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a**2 - 44*a**2 + 80*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2440608, 2440606, 2440604?\n\"Answer: -2*n + 2440610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -33\/25, 2\/17, 3, 6, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 10 = 5*x - n, x - 10 = -2*n. Suppose x = 20*c - 469 - 1471. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 27617398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14909)\/(-8) - 180\/(-480) a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.399743 to one dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 12. Suppose a*z = -z + 60. Let g = z + 22. What is the remainder when g is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**2 + 36*k + 81. Let n be y(-4). Let g = 5 - 0. Solve 8 = -g*h - n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -716?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15*((-36)\/(-15))\/2. Suppose 0 = 3*j + 3 - v. Let i(w) = -1 + 4*w + 2*w - j*w + w**2. Give i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*d - 16011696 + 16011696.\nAnswer: -70*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 35. Let s(c) = 3*c**2. Determine n(s(l)).\nAnswer: -9*l**4 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240312.439 + -6442.719. Let z = 233739.7200126 - h. Let u = z - -130. Round u to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.27147us to days.\nAnswer: 0.000000003301753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Differentiate 5 - 21*n + b*n**3 + 21*n wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - 6*(sqrt(1377) + sqrt(17))) + -3)*-6)**2 + (1 + -1 + sqrt(170)\/sqrt(10))*-4.\nAnswer: 12740*sqrt(17) + 2130696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0051158 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(5\/2 + 175\/(-50)). Let i = 19 - 8. Let h = i + -6. Solve -h*y = -g - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 84, 185, 326, 507, 728, 989?\nAnswer: 1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879998667?\nAnswer: 107, 17570081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162*o**2 + 256*o**2 + 219*o**2 + 8 - 8 to the form i*o + v + j*o**2 and give j.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(24))\/(sqrt(256) - (sqrt(256) - ((-2*sqrt(256) - sqrt(256)) + sqrt(256)))) - sqrt(6)\/(sqrt(3)*2*-2 - sqrt(3))*6.\nAnswer: 187*sqrt(2)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -15.6. Let r = c - -6.1. What is r rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -72, -63, -40, 3, 72?\n\"Answer: d**3 + d**2 - d - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-190*36\/(-450))\/((-50)\/(-125))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 529286.4 months to centuries.\nAnswer: 441.072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 + 9*j + j**3 - 7 + 4 - 4*j**2 - 5. What is the remainder when 18 is divided by x(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5018756 + 3?\nAnswer: 5018760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - ((-208)\/190 + 1056\/(-10032))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -538 + 4*i - 242*i**3 + 23 - 22*i**2 + 700*i**3 - 237*i**3 - 241*i**3 wrt i?\nAnswer: -120*i - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*6\/(-9)*1\/2. What is the closest to k in 1\/3, -2\/7, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 3. Suppose 6*z = -0*z + 30. What is n(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, m: 1, h: 4}. What is prob of picking 1 b and 1 h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-4))\/(((-95)\/22)\/(-19)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 10 - 40. Let z be ((-8 + p)\/(-6))\/2. Factor -1\/4*k**3 + 0*k**2 + z*k + 0.\nAnswer: -k*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -389152, -389347, -389542, -389737?\nAnswer: -389932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34178*h + 34397*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23a + -15ba?\nAnswer: -1827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let b = -82 - -82.4. What is the closest to u in 4, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 12*k + 14. Let b be i(-12). Let l be b\/10*(3 - -2). Suppose -5*o = -l*o. Solve 20 = 4*m, o = 2*a - m + 16 - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*u + 3*u**2 - 12*u**3 - u**2 + 43*u**3 - 23*u**3 - 14*u**3 + 3 to the form x + s*u**2 + j*u**3 + i*u and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 17775*g**3 - 17776*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 15*n + 51. Let q be i(-4). Sort -5, q, 0.19, 3, -2 in descending order.\nAnswer: q, 3, 0.19, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 3, f: 1, g: 4, a: 4}. What is prob of picking 1 f and 1 k?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 - 12*c - 9. Let x(u) = u**2 + u + 1. Let f(i) = b(i) + 4*x(i). Let z(n) = 6*n**2 - 41*n - 26. Let o(s) = 11*f(s) - 2*z(s). Calculate o(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1290693*n**3*u**3 + 51*n**3*u**2 - n**2*u**5 + 45*n**2 - n*u**2 + 33*n*u wrt u.\nAnswer: 7744158*n**3 - 60*n**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 152*s + 1074. What is the remainder when 657 is divided by y(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2251834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/(-12)*(-3)\/6. Let x = 1.5 - 1. Sort x, b, -5 in ascending order.\nAnswer: -5, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1161627009 + 1161627008.493082411. Let r = -9.913076381 + u. Let f = r - -10.42. Round f to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + (-35 + 13 - -16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/2 - 9\/(-6). Suppose 0 = -10*i - c*i + 720. Calculate the greatest common factor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 494487746 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 346*r - 507863593 + 231936153 - 368960854. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3829, -7669, -11509, -15349, -19189?\nAnswer: -23029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4952187 is divided by 4952176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*12\/15*333015\/6. Suppose 0*u + u - 2*b + 22204 = 0, -2*b + m = -4*u. Round u to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15669729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5782 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 8 + 2 + 1245*u + 4.\nAnswer: 1245*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 8*x - 1. Let t be b(-7). Suppose 0 = -2*u + 2, -l = -t*l - 4*u + 189. Let k = -35 + l. Solve -p - z = -9, -k*p + z + 7 = 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(96\/(-75)))\/(2985\/(-1194))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/10736 and -5\/132?\nAnswer: 32208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 - 2*c**5 + 0*c**5 + 26*c**3 - 26*c**3 - 16*c**5 + 0*c**5 - c**5 - 3*c**5 + (2*c**2 - 2*c**2 - c**2)*(-3*c**3 + c**3 + 4*c**3).\nAnswer: -23*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126900 and 2355?\nAnswer: 19923300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -353*a + 31733. Calculate w(90).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/33045 and 121\/630.\nAnswer: 1387890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7714486 and 61204.\nAnswer: 2782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvsvbbtzzszz. Give prob of picking 1 b, 1 s, and 1 t.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1900) - (sqrt(1900) + -5*(1 + sqrt(1900)))) + -1)**2.\nAnswer: 400*sqrt(19) + 47521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -13. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 - 73 + 134)*(-1 + 0 + 3)*(4*p - 6*p**3 - 4*p).\nAnswer: 72*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xch when three letters picked without replacement from {x: 1, r: 1, c: 1, h: 1, e: 3}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - 6*1*sqrt(153)) + 5*(sqrt(153) - (sqrt(153)*-4 + sqrt(153))))\/((sqrt(5400)\/sqrt(6) + sqrt(9) - sqrt(9)) + sqrt(45)\/sqrt(5)*3).\nAnswer: 16*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2430424 and 9\/64.\nAnswer: 19443392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*u**3 - 82*b**2*u*y**2 + 2*b + 17*u**3*y + 3*u*y**2 wrt b.\nAnswer: 4*u**3 - 164*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, 30, 39, 48, 57, 66?\n\"Answer: 9*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 5, 4, 9\/68, -201, -2 in decreasing order.\nAnswer: 5, 4, 9\/68, -1\/2, -2, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 0*a - a - 2*b = -4, -22*b - 103 = -5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y + 3*b + 19 = 0, 0 = -3*y - b - 2. Suppose y = 5*g + 11. Find the common denominator of 76\/(-28)*1\/g and 81\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6802626 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149715789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = 3*z - 86 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 12, -4, -3.\nAnswer: -14, -4, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/5 - 3 - (-114)\/(-60). Sort 0, 10, -1, u in increasing order.\nAnswer: u, -1, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/7 (c) 0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p*s**2 + 3*p*s + 27*p + 4*s**2 - 846*s - 1 wrt p.\nAnswer: -s**2 + 3*s + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 37 = d - 72, 0 = -5*d - 5*a + 545. Suppose 4*t - d - 15 = -4*l, -4*l + 124 = -4*t. What is the highest common divisor of 124 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-40) + -2*1\/7. Let w(i) be the third derivative of 1\/84*i**6 + 3*i**2 - x*i**5 + 0*i**3 + 0*i - 1\/42*i**4 + 0. Suppose w(o) = 0. Calculate o.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*k - 3 = 92*k, 9 = -3*j + 3*k. Suppose 76 = 5*y + 26. Suppose 2*s + j*s - y = 2*o, 4*s + 5*o + 7 = 0. What is the highest common factor of 18 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7217824892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: bcf6 (base 16) to base 8\nAnswer: 136366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**2 + 6*r + 7. What is l(-3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*u. Let r be 57\/21 + (1 - 4). Which is bigger: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 8. Let u = 1050 - 1048.2. What is the third smallest value in u, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**3 - q**2 - q - 2. Let u(v) = -4*v**3 + 2*v**2 + 1. Let t(l) = 3*b(l) + 4*u(l). Is 5 a factor of t(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -417950 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2331 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -321, -644, -969, -1296?\n\"Answer: -q**2 - 320*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9080.97 rounded to the nearest ten?\nAnswer: -9080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*p + 7*p - 56*p to f + r*p and give r.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*x + 5847 - 5793 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955.3842 millimeters to meters.\nAnswer: 0.9553842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51613 equal to 51633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90371 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1abc8 + 1?\nAnswer: 1abc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, 62, 137, 244, 383?\n\"Answer: 16*r**2 - 5*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3217.997889 + 3218. What is i rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k - 7. Suppose 8*f - 13*f + 20 = 0. Let t(w) = 10*w - 15. Let m(c) = 0*c - 3*c - 1 + 4*c + 2. Let z(a) = f*m(a) + t(a). Give 8*g(h) - 5*z(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002001 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -58 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-2540)\/(-180) + -8.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 21*x - 13. Determine q(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-12)*(-11 - -2). Suppose i*y - 21 = -y. Solve -5*z + y*d + 3 + 15 = 0, z + d = 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2175 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -80*d**3 - 17*d**2 - 3*d - 1. Let m(k) = -27*k**3 - 5*k**2 - k. What is 7*m(p) - 2*s(p)?\nAnswer: -29*p**3 - p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 634*q. Let n(d) = -4*d**2. Determine m(n(g)).\nAnswer: -2536*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13906 is divided by 13891.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11\/110*1\/((-1)\/(-1))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = -2, 511 = 5*d - 2*r. Suppose -4*b + 4*c - 205 = -c, 3*c = 2*b + d. Let q = -34 - b. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (2 + -23)\/3. Let d(v) = 6*v**2 + 6*v**2 - 3*v - 13*v**2 - a + v**3. Let t be 1 - (2\/2 + -3). Determine d(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-8)*9*(-144)\/7128\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffd when three letters picked without replacement from {d: 9, f: 3}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00639 - 14109.3084?\nAnswer: -14109.31479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-33 + 5)*8\/(-28). Suppose 0 = -10*f + 8 - k. What is the second smallest value in 1\/2, -0.6, f, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*q**2 + 48581*q**5 - 17 - 130*q**3 - 48579*q**5 + 3*q**2 wrt q.\nAnswer: 120*q**2 - 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -2 - 3) + 9 + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*f + 2*f - 8, -2*q - 3*f + 14 = 0. Find the third derivative of -58*r**q - r**3 - 1023 - 23*r + 1023 - r**2 wrt r.\nAnswer: -1392*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-252)\/(-3) + -8 + (-8)\/(-4). Solve -83*j = -d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16181 - 0.5.\nAnswer: 16180.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3 - r**2\/2 - 2*r. Let m be p(-1). Solve 0 = w - 0*w + m*z - 11, 4*z = 2*w + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12288 - ((-99)\/(-198))\/(0 - 2\/20).\nAnswer: 19, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 160*v**2 - 2. Let s(l) = 60*l**2 + 2. Let b(n) = c(n) - s(n). Let h(m) = 9*m. What is b(h(d))?\nAnswer: 8100*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*q - 0*q + 15, 4*a - 5*q = 11. Solve -5*z - 3 = -r, -7*r + a*z = -2*r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14.76 smaller than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 6*t - 19, -1638*t = -4*w - 1643*t + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 28 + 840*t - 7 - 10 to r + n*t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1008)\/81*36\/42*3.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110838 is divided by 739?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2580475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -10\/69*k**3 - 6\/23*k + 7\/23*k**2 + 1\/46*k**4 + 67. Factor i(f).\nAnswer: 2*(f - 3)*(f - 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x*x)**(-2\/35)\/(x\/x**4*x*(x\/(x\/x**(-6)))\/x) assuming x is positive.\nAnswer: x**(313\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 384\/70 - (-4)\/(-14). Let i be 12\/(-10)*(-40)\/12. Is i != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15893, -17298, -18711, -20132, -21561?\nAnswer: -22998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101122200 (base 3) in base 10?\nAnswer: -7767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*n + 2*n + 0*n)*(1 + 2 - 2) - 2*n + n + 0*n)*((0 - 1 - 1)*(0 - 2 + 1) + 0 + 2 + 0 + (4 + 1 - 3)*(3 - 2 + 2) - 2 + 3 + 0).\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 + i**2 - 103*i - 218. Give d(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in 1\/8, 1\/2, 2\/7, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(2 + sqrt(38)\/sqrt(2)) + 5.\nAnswer: 21 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -9\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 4*a + 8. Suppose 5*u + 3 = -k, 3*u - 1 = -5*k + 6. Put 4, u, a in descending order.\nAnswer: 4, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1905392 (base 11) to base 15.\nAnswer: -43b744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -29, 0.04, 113, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 48. Calculate the remainder when 8 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30600 and 94520.\nAnswer: 4253400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5579 - 13079. Round o to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*v + 0*u + 2*u - 8 = 52*v, -v = 3*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 - 118. Let a be (-3)\/((-9)\/15)*(0 - n). Is 15 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 13*a + 8. What is q(-10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2736) + (sqrt(2736) - (sqrt(2736) + -1))*2)**2 - sqrt(2736) - (5 + sqrt(2736)*2)**2).\nAnswer: -8229 - 204*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5815 = 8*b - 3*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 9*i + 10. Suppose -i*j - h = 123, -2*j = j - 5*h + 141. Let m = j - -76. Does 34 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1377)*2)*4 + 2 + -1)**2 + 1.\nAnswer: -1584*sqrt(17) + 88250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 3*o. Let p be a(-4). Let s be (8 + -22)\/((-5)\/((-10)\/6)). Is p <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*w**3 - 1287684*w**2 - 234124*w.\nAnswer: -w*(w + 117062)*(11*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -18 + 2*y + 25 + 22. Let u be t(-6). What is the greatest common factor of 68 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/57 + (-3 - (-304)\/6). Suppose x + 5*l = 69, x + 0*x - 2*l = b. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217812.81 minus 0.01?\nAnswer: 217812.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.9 + -8. Let d = 2 - 2.1. Which is the nearest to t? (a) -2\/9 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 26 = -5*b, 3*b + c - 6 + 4 = 0. Let i(o) = o**3 + 5*o**2 + o**b + 4*o**2 + 3 - 3*o**2 - 9*o**2 + 2*o. What is i(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.343 + 4.343. What is the third smallest value in n, 2, -8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*c + 2*c - 5*n, -4*n - 22 = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 0*i**2 - 1\/3*i**3 + 0*i - 121. Let v(q) = -138*q**2. Calculate x(v(a)).\nAnswer: -19044*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(612) + -4 + sqrt(612)) + sqrt(612) + 1)**2*-5*-3.\nAnswer: -1620*sqrt(17) + 82755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 0.23857?\nAnswer: 4.23857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2\/5, 1\/7, -8, 2\/7 in ascending order.\nAnswer: -8, -2\/5, 1\/7, 2\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 15*a + 45. Let u be q(11). Solve u = 3*r - l, -3*r - 8 = -3*l + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f - 2. Let s(d) = -d. Let z(j) = -r(j) + 4*s(j). Let k(n) = 11 + n + 7*n + 2*n. Let b(a) = 1. Let o(v) = -4*b(v) + k(v). Give -2*o(w) + 7*z(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 5*h + 8. Suppose w + 0 = -6. Let o be c(w). Let l(t) = t**2 + 5*t + 2. Let n be l(-5). Solve -4*i + n = -o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 75, -4\/5, 1065\/11, -0.4?\nAnswer: 1065\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.744 - -1.856. Which is the nearest to 7? (a) n (b) -0.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1226*v + 107900. Determine i(88).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 divided by -74.\nAnswer: 99\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -2)*(-250 - -6). Let u = 332 - r. Is u a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w + 2329 - 4163 = -2186 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -4. Let a = -552 - -557. Sort 2, m, -2\/11, a in increasing order.\nAnswer: m, -2\/11, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnoooivbodin. Give prob of picking 1 n and 1 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9155 - -9305. Calculate the remainder when 2855 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187084 is divided by 8404?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 38 = -5*g, 15*t + 89 = 19*t + g. What is the greatest common divisor of t and 6049?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 w when three letters picked without replacement from wdddjdddddwddd?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1110.226230373 and 1.\nAnswer: -1109.226230373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 2*o + 5 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 180*i**2 + 956*i\/5 + 56\/5.\nAnswer: 4*(i + 1)*(225*i + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1982 (base 10) to base 6.\nAnswer: 13102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 36*n + 5220. What is the highest common factor of 58 and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(1 - -3) + 3. Is 7 a factor of j\/(1\/(-15)) - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/97 and -67\/1174864?\nAnswer: 1174864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -71*k - 7408. Determine n(-111).\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drtydcz. What is prob of sequence cztr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 36200*c**2 - 66946000*c + 5126560000.\nAnswer: -5*(c - 3580)**2*(c - 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 309 and 21.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 430\/55 + 2\/11. What is the third derivative of -7*u**2 - 20*u**3 - 120 - 12*u**2 + 6*u**d - 2*u**5 + 120 wrt u?\nAnswer: -120*u**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + 3*(sqrt(1573) + 2 - sqrt(1573)) + 5)*5.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b - 4. Let i be h(0). Let c(q) = 4*q + 11. Let n(v) = -4*v - 9. Let a(t) = i*c(t) - 5*n(t). Calculate a(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10015601*j**3 + 84201*j - 28067. Let s(c) = 2141*c**3 + 18*c - 6. Determine 28067*s(p) - 6*v(p).\nAnswer: -2159*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q + 590 = -5*u, 2*u - q = -236. Let j = -72 - u. Suppose 3*r - 20 = j. Calculate the lowest common multiple of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1356824 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1341401330 - 10?\nAnswer: -1341401340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + 123?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(6292) - sqrt(6292)*-1)**2.\nAnswer: 25171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 160 - 396 = 0. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 25*d + 11. Let g(u) = -u**2 + 12*u - 6. Let v(l) = 9*g(l) + 4*o(l). Suppose 219 = -j + 226. What is v(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -280589, -1122432, -2525505, -4489808, -7015341, -10102104, -13750097?\n\"Answer: -280615*u**2 + 2*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 3*s + 3*w, 4 = 3*w - 2. Let r be 3 - s\/(-7) - -3. What is the closest to -2\/3 in -0.3, r, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256960 is divided by 127359?\nAnswer: 2242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -134 + 4?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2086016 to the nearest integer?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3201, 3205, 3209?\nAnswer: 3213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - a + 117, 5*a - 2*a - 3 = 0. Suppose y - 118 - t = 0. List the prime factors of -2*(y\/(-6) + 4).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1900))*-4 - sqrt(1900)) + -5)**2.\nAnswer: 900*sqrt(19) + 47581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/7 + 4*k**4 + 72*k**3\/7 + 68*k**2\/7 + 22*k\/7 = 0. What is k?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4862196 and 17527.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 330\/(-36) + 5 + 2\/12. Sort o, -1, -8.\nAnswer: -8, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)*-2*3 - sqrt(2904) - ((-4*(sqrt(2904) - (sqrt(2904) + 1*sqrt(2904))) - sqrt(2904)) + sqrt(2904)))\/((sqrt(40) + -2*sqrt(40)*2)\/sqrt(5)*-6).\nAnswer: -121*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3131132212001 - -13?\nAnswer: 3131132212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9810989?\nAnswer: 17, 53, 10889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, l: 1, b: 5, k: 1, r: 3, o: 2}. Give prob of picking 2 b, 1 o, and 1 k.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-1))**(-24))**(-23) assuming k is positive.\nAnswer: k**552","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6050.451 micrograms to nanograms.\nAnswer: 6050451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 605*k**2. Let y(w) = -4*w**2. Determine l(y(g)).\nAnswer: 9680*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 651*o + 1150 + 691*o + 413*o - 1150 as d + q*o and give q.\nAnswer: 1755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9644 and -182?\nAnswer: 1755208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 224 - 299 = 8*f. Solve 0 = f*t - 3*n - 9, 4*t - 2*n - 15 = -7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10489?\nAnswer: 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 310*d**3 - 2*d**2 + 3*d - 2. Let t be b(1). Let j = 844 - t. Suppose -3813 - j = -4*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 - 0.04. Let x = -2.8 + 3. Let w = x - -0.8. What is the biggest value in w, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.6, 1, 20028, -2\/9?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29361304 and 306196456.\nAnswer: 2143375192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13133, 13139, 13135, 13115, 13073, 13003, 12899?\nAnswer: 12755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24782, 99512, 224062, 398432?\nAnswer: 622622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10244 is divided by 168?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/3 in 1, -1, -0.5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**2 - 3*n**2 + 2*n**2)*(5*n - 2*n - n) + 955*n**3 + 18*n**2 + n + 5*n - 956*n**3 in the form f + v*n + g*n**2 + i*n**3 and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 10505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*j**2*z**3 - 2*j**2*z**2 + 1148*j**2*z - 2*j**2 - 23183*j*z**3 + 3*j*z + 2*z**3 + 7*z**2 + 87 wrt z?\nAnswer: -720*j**2 - 139098*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 647*u**2 + 1950*u.\nAnswer: -u*(u - 650)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 206121729 a multiple of 1890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2 = 2*m. Let w = m + 10. Let f be 24\/w - (-6)\/(-9). Solve f*d + 0*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4271*o**2*r + 4*o*r - 5*o - 12*r wrt o?\nAnswer: -8542*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39119*j**3 - 53*j**3 - 19743*j**3.\nAnswer: -58915*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7682?\nAnswer: 2, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -100010010111?\nAnswer: -100010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 4*w + 17. Let t be f(5). Let o(i) = 0*i + t - 7*i + 5*i - 3. Let p be o(8). Solve 2*d = -p*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*n + 9*n**4 + 3*n**3 - 3*n**3 + 43*n**4 + 77*n wrt n?\nAnswer: 624*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 2*f**2 + 1. Let j(y) = 169*y**3 - 79*y**2 - 1. Let m(l) = -j(l) - 3*x(l). What is the third derivative of m(q) wrt q?\nAnswer: -996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 80 = -4*z, -8*z - 4*g + 91 = -3*z. Let n be ((-86)\/6 + 1)*-9. Calculate the highest common factor of n and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13814.738 to the nearest one hundred.\nAnswer: -13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*q, 2341 = 2*b - 6*q + 2377 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 4*l**2 - 3*l + 12. What is j(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 126 = -4*n, 2*n - 4*k = -39 + 99. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -207 + 398. Let j = 193 - z. Determine b so that 0 + 0*b**j + 0*b - 2\/9*b**3 - 4\/9*b**4 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -53*v**2 + 108*v**2 - 52*v**2. Let h be 1087*2\/16 + 45\/360. Let i(t) = h*t - 136*t + 14*t**2 + 3*t**2. Calculate i(a(r)).\nAnswer: 153*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -512, -954, -1366, -1748, -2100?\nAnswer: -2422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(209))\/sqrt(11) + ((-3*(sqrt(57) + sqrt(228)\/sqrt(4)))\/sqrt(3))**2.\nAnswer: 4*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158\/63 + -16\/7. Let x = -3 + 4. Let r = x - -2. Is b at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -444*f + 6945. Let y be g(-56). What is the highest common factor of 69 and y?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 26*z**2 + 24*z + 20. Let s be t(25). Let l be 7 - ((-12)\/(-4) + -1). Which is the third biggest value? (a) 2\/29 (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1524*y**5 - 71*y**4 - 2*y**3 + 6399*y**2 + 33 wrt y.\nAnswer: 91440*y**2 - 1704*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 1. Let p(o) = 141*o**3 - 2*o**2 - 4*o + 1. Give -p(f) - 2*q(f).\nAnswer: -141*f**3 + 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000288 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 72726*z + 4. Let p(g) = -3*g. What is p(h(t))?\nAnswer: -218178*t - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2048 + -1487. Calculate the lowest common multiple of 99 and f.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123074 (base 11) to base 14\nAnswer: -50bc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 8:40 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350556975 is divided by 5488.\nAnswer: 5487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -36.5. Which is the fourth biggest value? (a) -2\/7 (b) q (c) -17\/5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4500?\nAnswer: -1\/1500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55246368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 9:42 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-80)\/(-14) + (-12)\/(-42). Suppose -5*c = -2*c - d. Suppose 10 = -2*l, 0*j = -j - 5*l - 15. Calculate the lowest common multiple of j and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-10 + 1 + 5 - 7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (36477\/(-20265))\/((-6)\/20)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from wfkwwwckwwwvwvwwk?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344 (base 10) in base 5?\nAnswer: -20334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2. Let j(h) = 4*h - 9*h - 60 - 46*h + 120 - 58. Give j(c(n)).\nAnswer: 51*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 a when three letters picked without replacement from {a: 7, u: 3}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0629309297 to four dps.\nAnswer: -0.0629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**3 - 60*q**2 - 60*q - 72. Let z be v(16). What is the nearest to z in 7, -0.1, 2, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*w - 9. Let b = 9 + -8. Suppose -w*g - 3 = -b. Sort -4, g, 0.3.\nAnswer: -4, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 731788*m + 731789*m + 731808*m - 2195386*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bc (base 14) to base 8.\nAnswer: -552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kivwvww. What is prob of sequence ikww?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41171623.22508197 - 41171623. Let q = j - 0.39508176. Let a = q - -0.17. Round a to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -34, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -55*x + 1007. What is j(9)?\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19916776 and 712.\nAnswer: 19916776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.11, -845, 321\/4?\nAnswer: -845","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 13. Suppose z = -2*l + 25. Solve i - 15 = -l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0759349mm in meters?\nAnswer: 0.0000759349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 13*f - 9. What is the tens digit of y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49378 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 0.1 (c) 5 (d) 10983008\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.15? (a) -1\/10 (b) 0 (c) 5 (d) 0.2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473 - 97 = 4*d - 4*i, 0 = 2*d + i - 194. Let k = 104 - d. What is the lowest common multiple of 68 and k?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 9:55 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -11*v**5\/10 + 16*v**3 - 127*v**2. Let y(r) = -7*r**2 + 10. Let t(x) = 5*d(x) - 48*y(x). Let m(j) = -34*j. Calculate m(t(w)).\nAnswer: -204*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + -4*4\/8. Let z = o - 5. Is 4 - z - (2 + -597) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55002\/190344 - ((-6)\/11)\/(-3).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (1 - -10 - (51 - -3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9551, -9458, -9355, -9242?\nAnswer: -9119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - -1*sqrt(104))*1)\/sqrt(8) + -1 + (sqrt(65)\/(1*sqrt(5)) - sqrt(13)).\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b**(-5)*b**(4\/7)*b**(-4))\/(((b**(-2\/3)\/b)\/b)**(-31\/4)\/(((b**(1\/9)*b)\/b)\/(b\/b**(-2)))) assuming b is positive.\nAnswer: b**(-2078\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 125177769 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370906202.\nAnswer: 2, 185453101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + 3662 - 6*m - 7310 + 3648 - 10*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -36415a?\nAnswer: -36415a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vygg when four letters picked without replacement from gyggv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 3*r**4\/28 - 20*r**3\/21 - 61*r**2\/14 - 18*r\/7 + 378. Factor x(s).\nAnswer: (s - 9)*(s + 2)*(3*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1632)\/18*(-6)\/(-4). Let u be x\/(-24) + 2\/6. Find the third derivative of -g**u - 3*g**2 - 24*g**2 - 2*g**6 + 5*g**6 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21752 - 15479. List the prime factors of p.\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 16*q. Let v be p(-8). Suppose -4*t - 104 + 388 = v. List the prime factors of t.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Expand ((f + f + 0*f)*(-3 - 2*f + 3) + (-2*f - 10*f - f)*(4 + 8*f - 4))*(22*f**3 - 41*f**2 + 41*f**2).\nAnswer: -2376*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10206.981999 - 10207. What is v rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h**4\/11 - 2184*h**3\/11 + 50766*h**2\/11 - 49140*h\/11 + 12150\/11 = 0 for h.\nAnswer: 1\/2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 1574757646567.\nAnswer: 1574757646572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.038, -4, -183, -1.8, 4, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, g: 1, v: 1, e: 2}. What is prob of sequence ve?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*f - 190*f - 5*n = 50, -f + 4*n = -37. Are 6\/7615 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*x - 578, 28*f - 23*f + 2*x = 574. Calculate the remainder when f is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 + 656045.\nAnswer: 656045.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/5 - 222*c**2. Let v(u) = 15*u**2. Determine w(v(d)).\nAnswer: -2700*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 124\/(((-14)\/(-100))\/(-7)). Round j to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 - 200?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 15. Let j(t) = -3*t**3 - 80*t**2 + 20*t - 191. Let p be j(-27). Which is the smallest value? (a) p (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 5 - 5 + (3 - 5 + 1)*(-4 + 2 - 2)*(4*v + 0*v - v) in the form s + h*v and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**5\/60 - 5*t**4\/24 + t**3 + t**2. Suppose -v = -5 + 1. Suppose -15 = -v*d + d. Give m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**3 - c**2 + c - 2. Let b be s(2). Suppose -36 - b = 4*k. Is ((-12)\/k)\/((-1)\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**2 - 16485*r + 32950 = 0.\nAnswer: 2, 3295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6366254 is divided by 6139.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 508.87 + -502. Let h = n + -2.87. Sort -2\/17, 0.1, h, -0.06.\nAnswer: -2\/17, -0.06, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.32 to 0 dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 80171868 divided by 20042967?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -292 + 2040\/7. Let m = -1 - 0. Let i = -9.9 - -10. Which is the biggest value? (a) d (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -17*c + 20. Suppose -y = -4*y. Let t be 1\/(18\/4) - y. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -541\/28 + 81\/4. Let d = 40\/77 - t. What is the common denominator of -3*(-74)\/20 + 1 and d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1239*0.01.\nAnswer: -12.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 3. What is d(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w**3 + 1086*w**2 - 67692*w - 15096 = 0. Calculate w.\nAnswer: -74, -2\/9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -847 + 844. What is the nearest to -1\/4 in 5, 0.5, 2, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299248 and 672?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 13*h**2 - 11*h + 18. Is a(12) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 - 4 - 2 - 13*t in the form p*t + j and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 5*y**4\/12 + 13*y**3\/6 + 61*y**2\/2 + 2*y + 13. Is n(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498676 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 1. Let j(o) = -4*o - 5. Let g(w) = 2*j(w) + 9*r(w). Let v(d) = -2*d. Let q(u) = -4*g(u) - 3*v(u). Let s be q(-3). Is -1 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10255 in 4, -1\/2, -0.4, 2\/17, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 - 35948*f + 646848.\nAnswer: 2*(f - 53904)*(f - 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 + -6*10\/5. Which is the closest to -7? (a) q (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (413 - 1884*m - 413)*(-4*m - 3*m + 2*m).\nAnswer: 9420*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104015 + 0?\nAnswer: -104015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -82*c**2. Let y(o) be the third derivative of -3*o**4\/8 + o**2 - 1132. Give f(y(p)).\nAnswer: -6642*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 7, 2.6 in decreasing order.\nAnswer: 7, 2.6, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 3, 2\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -95*k - 38. Let a(w) = 95*w + 32. Calculate 6*a(r) + 5*z(r).\nAnswer: 95*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 2*t + 6 + 2 - 2*t. Calculate the remainder when 2 is divided by c(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*c + 74*c = -11*c + 7876 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**34))\/c**26)**21)**(1\/12) assuming c is positive.\nAnswer: c**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56847641673749 plus -0.08?\nAnswer: 56847641673748.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + m = -u + 1, 5*u = 4*m + 17. Suppose h = 5 - u. Find the second derivative of -10*z**4 + 6*z + h*z**4 - z wrt z.\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18137 equal to -18140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/55974 and 69\/93290.\nAnswer: 279870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -11*b. Let s(k) = 16*k. Give -5*s(h) - 8*z(h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2872137 by -1.\nAnswer: 2872137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*y - 6, -5*d - 40*y + 39*y = 12. Is (0 + 6\/d)*-97 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 13*d + 4. Let s be o(10). Suppose 5*j - 65 = 2*f, 2*j + 2*f - s = -2*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = i - 5*i. Suppose -42 = -16*j + i*j. Let m be (-8)\/28 + (-80)\/j. Which is smaller: m or -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -350*m - 7*m**2 - 221*m + 190*m wrt m.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79.4 + -79. Let l = 6.91 + -7.41. What is the nearest to -1 in 0.062, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 2672.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77521835.\nAnswer: 5, 15504367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 - 4*n**2 + 3*n - 2. Let z be l(2). Suppose 0 = z*f + 2*k - 3*k - 15, -3*f + 4*k + 8 = 0. Sort -4, f, -13, 0 in descending order.\nAnswer: f, 0, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3988996 to the power of 1\/2, to the nearest integer?\nAnswer: 1997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*g**2 - 2 + (4*g**2 - 4*g**2 - g**2)*(0 + 0 + 1))*(-4*g**3 + g**3 + 0*g**3) + 1119*g**3 - 1119*g**3 + 2 + 137*g**5.\nAnswer: 134*g**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1219170411*a**2*v**3 - 19*a*v**3 - 4*a*v**2 - 24*a*v + 26*a + 236 wrt a?\nAnswer: -2438340822*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108263*c - 324807*c + 108266*c + 108265*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 270*i - 1160.\nAnswer: 5*(i - 58)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (0 + -3) - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 56 + -9 - (212 + -190)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 6*u - 14*u. Suppose 5*p = 3*x - 61, -x - 24 = -2*x - 2*p. Solve 3 = -5*t - x, -5 = u*y + t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - -6*(sqrt(153) - (sqrt(153)*-2 + sqrt(153)))) + 5)**2.\nAnswer: 390*sqrt(17) + 25882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7560*r + 3021 = -7579*r. Is r less than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from fjjfajffaffccdaa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 17*u - 187. Let t(s) = -20*s + 187. Calculate 6*p(g) + 5*t(g).\nAnswer: 2*g - 187","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 77\/(-99) - (-10)\/(-45) - -1. Let f(h) be the third derivative of 0*h + a - 1\/2*h**3 - 7\/24*h**4 - h**2. Find the first derivative of f(c) wrt c.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 15, 0.5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27701\/95 + -1459\/5. Sort -14, -2\/9, d, 1\/2, -0.3 in descending order.\nAnswer: 1\/2, d, -2\/9, -0.3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*j**2 - 3*j**2 + 440*j**2.\nAnswer: 319*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5321, -5319, -5317, -5315, -5313?\n\"Answer: 2*w - 5323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 12) to base 2.\nAnswer: 100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-15))\/(2\/12). Suppose -5*u = v*z + 60, 2*u - z = 3*z - 24. Let y be (2 - (-26)\/u)\/1. Which is the third biggest value? (a) -0.1 (b) 2\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.61433km to micrometers.\nAnswer: 42614330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/3 - 17089*h\/3 + 34190 = 0.\nAnswer: -17095, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10986 is divided by 1243?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 115 = -h. Let v = h - -29. Let l(p) = -p**3 + 12*p**2 - p + 13. Is l(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5094.9983768 + 5095. What is c rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 36 = -7*v. Let q(f) = 13 - 13*f**2 + 14 - 38 - 4*f. Let n(s) = -7*s**2 - 2*s - 6. Determine v*q(a) + 11*n(a).\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 11645397.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**5 - 30*z**4 + 75*z**3 + 30*z**2 - 72*z = 0.\nAnswer: -12, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2\/15, 0.030842, 10?\nAnswer: 0.030842","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 - 6*(-11)\/1155*-7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 5*g)*(6 - 2 - 3)*(3*g - 3*g - 3*g).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*z - 92*z + 180. Let h = z + 197. List the prime factors of h.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -249*c**4 - 2*c**2 - 32 wrt c.\nAnswer: -5976*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 12*t**2 - 116*t - 2. Determine g(9).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q + 5298 - 1281 = 23*q + 26*q for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*a**6 + a**5 - 10*a**2 - 15*a wrt a?\nAnswer: 12120*a**3 + 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -18?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1371*s + 19. Let u(l) = 174*l. Determine q(u(g)).\nAnswer: -238554*g + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 364253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (-1*sqrt(320))**2) + sqrt(320))*-2 + sqrt(320) + -1 + sqrt(320) + 1 + 5*(3*(0 + sqrt(320)))**2.\nAnswer: -16*sqrt(5) + 15040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 - 30. Suppose 2 = 3*l + 4*u - 26, 4*l + 5*u = q. Suppose 5*w - 17 = -b + l*w, -5*b - 4*w = -83. Solve -6*f = -2*f - 12, 2*f = 3*i + b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23563 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2166\/(-76) - 9\/(-6)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 1. Which is the second biggest value? (a) 1\/5 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -243 - -438. Suppose -37*h + 4268 = -15*h. Which is greater: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 = 259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 + (-2)\/4. Let r(l) = -l**2 + h*l + 4*l + l - 2*l. Let y(x) = -6*x**2 + 16*x + 1. Let a be ((-4)\/(-10))\/((-2)\/10). What is a*y(c) + 11*r(c)?\nAnswer: c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(102) - (sqrt(102) + sqrt(102)*-2))\/sqrt(6))**2*5*-1 - (1 + (0 + sqrt(153))**2)*4.\nAnswer: -701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 1 + a**3 + 2*a + 12*a**2 - 3*a. Suppose 5*n = -2*t - 41, -4*n + 3*t - 26 = n. Is m(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 596 and 30461113.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -8, -19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3731 - 18669\/5. Which is the closest to 1? (a) u (b) 0.2 (c) 0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 6:35 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 1682.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4*k + 4 = -0, 5*k = -5*d - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/47, 0.5, 2\/3?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1833 + 1833. Solve -2*d + 14 = -2*y - y, 2*d + 4*y + 28 = a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 4*s**2 - 3*s - 3. Let l be t(-4). Let y be 6\/l + 25\/3. What are the prime factors of 6\/(-27) + 83\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19013445 = 5*w + 4*j, 288*w - 7605345 = 286*w + 5*j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 6, t: 1, r: 1, k: 2}. Give prob of sequence tk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*r + 4*a + 12, 4*a = -r - 4. Suppose -2*b + 4 = -b. Suppose b*q + 4*m = 48, -2*q = -q - 2*m. Solve -q*l + 4*l = -r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 1795143552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-22738)\/((-7)\/4 + 10 + 328\/(-32))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1045, 5131, 11949, 21505, 33805, 48855, 66661?\nAnswer: 87229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 + 2*z. Let s(d) = 21*d - 4*d - 17*d - 7*d**2. Give p(s(i)).\nAnswer: 245*i**4 - 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491.7834 years to decades.\nAnswer: 49.17834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 356398093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*u - 38*u + d - 9, 0 = -2*u + 3*d - 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 6*j + 5. Suppose 3*r = 4*u - 1 - 15, -2*u = -4*r - 8. Suppose -14 = -3*a + u. Let n be k(a). Put n, -4, -2 in decreasing order.\nAnswer: n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 79605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 3985326?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/783 + 21125\/6264. Find the common denominator of -59\/156 and i.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*b = z + 352 - 129, 293 = 5*b + 4*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + z**2 - 2*z - 3. Let x(r) = -2*r**3 + r**2 - 1. Let j be x(1). What is v(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 - 41 + 5 + 31 + 25 + y**3 + 17 in the form x*y + u*y**2 + g*y**3 + p and give p.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*g + 160 = -105*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Suppose 75 = -5*t - 5*a, 17 + 17 = -2*t - u*a. What is the units digit of t\/(-5) + 4\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1580)\/(-540) - (10\/(-27))\/5. Solve -28 = 10*f - p*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, h: 9}. Give prob of picking 2 h and 2 z.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -a + 64 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*s + s = 9, -4*s = -c - 4. Let i be (-11)\/(-33) + c\/6. Suppose 0 = 5*z + 2*k - k - 18, i*z - 4*k - 20 = 0. Solve 3*f + z = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2896 + -2873. Calculate the remainder when 2757 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -112*f + 3503. Is 26 a factor of u(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2093 * 0.0791.\nAnswer: 165.5563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691*c**3 + 717*c**3 - 1234*c**3.\nAnswer: 174*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(220)\/sqrt(4) - -2*sqrt(5500))\/((sqrt(44) + (sqrt(44) - sqrt(1100)*-3))*2).\nAnswer: 23*sqrt(5)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -9*k - 72. Solve k*h = v + 2*v + 8, -5*v = 2*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a89c (base 15) to base 11.\nAnswer: 59945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21030*t**2 + 21030*t**2 - 6*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -868836312 + 868836271.00000116. Let z = n - -41. What is z rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -13. Let h = 5 + m. Suppose 0 = -4*n - 3*k + 47, 3 + h = 3*k. Calculate the remainder when n is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1712 - -1711. What is the second biggest value in -6\/19, -1\/10, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*x - 134*x - 3*r = -r + 16, 4*r = -23*x + 76 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -473748*h**4*o + 63*h**4 - 7*h**2*o - 77*h**2 - 3*o - 1865 wrt h.\nAnswer: -11369952*h*o + 1512*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 11. What is the lowest common multiple of 2 and -5*(-6)\/15 - f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2310998 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.1 - 28. Which is the closest to n? (a) -5 (b) -6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:03 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 912471 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.96 rounded to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*u + 9. Let s = -20 + 26. Suppose q = 5*f - q - u, -s = -3*f + 3*q. Put -4, 4, f in decreasing order.\nAnswer: 4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 + 1 - (38 + -34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*j + 32*j - 260. Let s be 6\/2*(j + (-516)\/(-36)). Solve 0 = -0*w + s*w + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/18*(-3)\/2. Let y = 85 - 84.5. Is u less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/12 and -59\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 9*v**2 - v - 10. Suppose 2*n - 10 - 4 = 3*o, -4*n - 2*o = -28. Suppose r - t - n = 3, t = -r + 10. What is the units digit of z(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**3 - 3*h**2 + 229. Let p(k) = -3*k**3 - 2*k**2 + 232. What is 4*p(t) - 3*r(t)?\nAnswer: -3*t**3 + t**2 + 241","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 177*l - 5. Suppose -2*h + 23 = 15. Is q(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -565 - -1681\/3. Which is smaller: x or -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (-3 + sqrt(720) + 0 - (1*sqrt(720)*3 - sqrt(720) - sqrt(720))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 5*q**2 - 4*q. Let a = -31 - -35. Give h(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/7))**(1\/17)*(i*i**(-1\/4)*i)\/(i\/i**(7\/5)))**(-31))**(-2\/61) assuming i is positive.\nAnswer: i**(159867\/72590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-30))**43)**(2\/13) assuming d is positive.\nAnswer: d**(2666\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*d + 20 = 0, 10*q - 195*d + 193*d - 32 = 0. Sort -3, 11, -10, q, -1 in increasing order.\nAnswer: -10, -3, -1, q, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 2. Suppose -2*h - 11 = 1. Let f(t) = -9*t**2 - 17. Let l(u) = h*f(u) - 51*b(u). Let o(r) = -r - r + 0*r. What is o(l(c))?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2056, -1099, -142?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100624 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(13) + -4)*-3)**2.\nAnswer: -72*sqrt(13) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 divided by 20.\nAnswer: -103\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 155791\/1053 != 148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 554876480 to the nearest integer?\nAnswer: 23556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -19*h - 49. Calculate p(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 3*o + 3. Determine w(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**4 - 19*c**4 + 57*c**2 + 49 + c**4 + 204*c - 63*c**3 + 3*c**5 + 59 = 0.\nAnswer: -2, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 6176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 t when four letters picked without replacement from {t: 9, r: 7}.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 126 and 1388.164?\nAnswer: 1262.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 9195*q**4\/4 + 4600*q**3\/3 + 2500. Find the third derivative of a(t) wrt t.\nAnswer: 55170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*b*l**3 - 4*b*l**2 - 517*l**3 wrt b?\nAnswer: 9*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254891140 divided by -2.\nAnswer: -127445570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, r: 7}. What is prob of picking 2 x?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**3 + 0*p**2 + 0*p**2)*(-11056 + 11056 + 17*p) - p**4 + 0*p**4 + 5*p**4 to k*p**3 + d*p**2 + n + r*p + o*p**4 and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 9. What is the units digit of 477\/36 + i\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/4180 and 107\/8360?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 80.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - q**2 - 1474*q - 520*q - 613*q to z*q**2 + b + f*q and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4 = 4*c, 5*f - 2 = -296*c + 294*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57*(-5)\/30)\/((-25)\/((-750)\/15)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21143 (base 9) to base 7\nAnswer: 55506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 equal to 28875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16491 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124.58552 + 128.0033343. Let l = -63.5823897 - m. Let k = l + 67. What is k rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*t + 7*t - 8*t)*(-45*t**4 + 1961*t**2 - 1961*t**2) + 2 - 2 + t**5.\nAnswer: -719*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1331 - -1548. Calculate the remainder when c is divided by 121.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 56*z**3 + 6*z**2 + 6*z + 2. Let y(c) = -c**3 + c**2 + c. What is -q(j) + 6*y(j)?\nAnswer: -62*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -347*b + 6. Let n be m(0). Put -20.9, n, 2\/7 in increasing order.\nAnswer: -20.9, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 3. Let c be w(-8). Let i = 16 + c. Suppose -i*g = 2*m + 2*m, 4*m = -3*g. Solve m = 2*l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (163*t - 252*t - 202*t)*(-5*t - t + 2*t + 2*t**3) to the form b + f*t + p*t**4 + k*t**3 + z*t**2 and give p.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + sqrt(11)*2 + 0 + (sqrt(11) - (sqrt(11) + -1)) + sqrt(11))**2.\nAnswer: 90*sqrt(11) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nckkicrrokokkkkokc. Give prob of picking 1 o and 1 r.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5\/5 + 51018*j**4 + 1620050054*j**3 - 428716759274*j**2 + 28459392573312*j - 140161479575552\/5 = 0.\nAnswer: -63904, 1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11*k + 10. Let i be a(-18). What is the tens digit of 2*(i\/(-8) + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 103, 423, 961, 1717, 2691, 3883, 5293?\n\"Answer: 109*k**2 - 7*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3115007?\nAnswer: 7, 445001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + (6 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/42 - 612\/(-14). Let r = 13 + 9. Let z be ((-2)\/4 - -1)*r. Calculate the greatest common divisor of g and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1086183 divided by -821?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25993*j - 52459*j + 26178*j.\nAnswer: -288*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 21 = -4*n - 0, 0 = -n + k - 6. Find the common denominator of (-65)\/9 - n\/(-2) and -133\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205120 is divided by 1615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x + 22 = 2*x. Let m be (x + 49\/21)*(-1)\/4. What is the closest to m in -1.2, -1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x + 13*x - 2*x + 2*x to t + c*x and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4077?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 7 - 18 = 0. Let d = -2 + i. Suppose -5*t = d*v - 453 + 116, -2*v + 2*t = -246. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = k - 4, -2*k - 443 = -3*m. Suppose -m = 8*f - f. Let j be (0\/2)\/(3*(-14)\/f). Which is greater: 4\/33 or j?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -3)**2 + -2*sqrt(5)*-5.\nAnswer: -14*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-21)*(-39)\/(-65))\/((-161)\/(-1725))\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (5 + -2 + 1 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 666\/(-324) - (-2)\/9. Are t and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 10. Let a(t) = 31*t**2 + 4*t + 3 + 12 - 3. Is a(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0, -0.3652, 5, -7?\nAnswer: -0.3652","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48703.02 milligrams to kilograms.\nAnswer: 0.04870302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4\/7, -0.03, -1\/3, 2\/7 in decreasing order.\nAnswer: 1, 2\/7, -0.03, -1\/3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 22. Let f be h\/15*(-45)\/(-3). What is the highest common factor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/3 + 1 + 3. Suppose 0 = 4*h - 8 - 4, 2*k + 4*h - 50 = 0. Suppose 5*g = x*s - 36, 4*s + 3*g - 1 - k = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5 - s**3 - 3 - 2*s - 2*s. Let u(w) = -w**3 - 7*w + 4. Let i = -27 + 24. Give i*u(g) + 5*z(g).\nAnswer: -2*g**3 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*h**2 - 13*h**3 - 5*h**3 - 42*h**2.\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**4 + f**3 + 5*f**2 + 1. Let h = -10 + 12. Let c(s) = s**3 + s**2 + 1. Let a(i) = h*m(i) - 2*c(i). Find the third derivative of a(o) wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -357 divided by -65.\nAnswer: 357\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - q**3 - 156 + 79.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14749*i**2 + 0*i + 14781*i**2 - 29519*i**2 + 0*i.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 925 divide 22043675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -50*k - 280. What is the units digit of o(-91)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 21 = y, 0 = y - 3*x + x - 18. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 22*i + 27. Let p be r(21). Solve -p = -5*o - 3*h, -h = -o - 0*h + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*o**5\/4 - 589*o**4 - 100627*o**3\/4 + 1367981*o**2\/2 - 3639285*o - 684450 = 0. What is o?\nAnswer: -117, -2\/11, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3514772, 7029526, 10544274, 14059016, 17573752?\n\"Answer: -3*j**2 + 3514763*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*(1\/12)\/((-497)\/8946)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -48507700 + -1906166\nAnswer: -50413866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = 8. Let t(q) = -2*q**3 - 19*q**2 - 7*q + 74. Let m be t(-13). What is the common denominator of (m\/176 - 2) + h and -109\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316202060 to the power of 1\/2, to the nearest integer?\nAnswer: 36279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-88)\/(-16) + (-2)\/4. What is the highest common factor of q and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2, 17, 0.272, -22\/15, 0 in decreasing order.\nAnswer: 17, 0.272, 1\/5, 0, -22\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 4. Suppose 0*w + 3*k - 36 = -n*w, 0 = 2*w - k - 33. What is the greatest common factor of w and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*a**3 - 248*a**3 - 487*a**3 + 209*a**3 - 254*a**3.\nAnswer: -932*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -43488 != -43488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2204*-0.2\nAnswer: 440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(112) + sqrt(7))**2*2.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -3 + sqrt(15)\/(sqrt(5) + -2*sqrt(5)) + 3)*6)**2.\nAnswer: -216*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 660, 1315, 1966, 2613?\n\"Answer: -2*t**2 + 661*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*g - 4864*g**2 - 180*g + 4864*g**2 - 5*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -53*n + 22. Let s(i) = -26*i + 15. Determine 2*d(c) - 5*s(c).\nAnswer: 24*c - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4958489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 7*m - 11*m. Suppose 0 = m*x - 9*x - 3. Suppose -j + 7 = x. Solve -j = -4*o + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + j - 26*j = 558 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -451, -25 in ascending order.\nAnswer: -451, -25, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 105*c - 25 + 3 + (1 - 2 + 0)*(5 - 5 + 5*c) to w*c + p and give w.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/8*(-4)\/10. Let u = -247.8 + 225. Let i = u - -23. What is the closest to -1 in z, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 18. Let v be r(13). Suppose 4*p + 4688 = -b, 6*b - 5835 = v*p + b. Let h = -3470\/3 - p. Find the common denominator of -57\/7 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12676?\nAnswer: 2, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 5:29 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 4) in base 14?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-4)\/(-6*2)*1. Which is the closest to -0.4? (a) 5 (b) h (c) 4 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjzjjjzjjjzjjjjj. Give prob of sequence jj.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -32 + 0*b + 25\/2*b**2 + 7*b**4 + 0*b**3. Find the second derivative of a(d) wrt d.\nAnswer: 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26554441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 229 + -157. Let b = h - 76.9. Let t = b - -6.9. Sort 0.1, -1\/2, t in increasing order.\nAnswer: -1\/2, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20477372 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-24) + 3 - (-9)\/(-24).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2741*o*s**2 + 7*o*s - 1836*o - s**2 - 126*s - 836 wrt s?\nAnswer: -5482*o*s + 7*o - 2*s - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 15632504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3))\/s**(-3)*(s*s**(-2\/7))**6)**(-4) assuming s is positive.\nAnswer: s**(-316\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 4*a**3 + 2*a**3)*(-a + 8*a + 7*a)*(7 + 0 - 2) + 4*a**3 - 4*a**3 - a**4.\nAnswer: 279*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*j**4 + 10*j**4 + 7*j**4 - 5*j**4 + 2*j**4 - 1428*j**2 - 4*j**3 wrt j?\nAnswer: 624*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*o + 8 = 0, 6*o + 2 = -52*s + 56*s. Let m(i) be the second derivative of -42*i + 1\/12*i**4 + 7\/2*i**s + 2 + 4\/3*i**3. Determine m(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55531 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 13. Find the third derivative of -16*h**2 + 6*h**2 + l*h**5 - 5*h**5 + 4*h**5 wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 477, 4304, 14827, 35394, 69353, 120052, 190839, 285062?\n\"Answer: 558*l**3 - 79*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286 and 9867.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65\/2 + 33. Let y be 1\/2*2*7. Let o(p) = p**2 - 7*p + 1. Let n be o(y). What is the closest to n in -1\/9, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181394*m + 181393*m + 887*m**3 - 897*m**3.\nAnswer: -10*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.37 + -0.03. Let f = 4.004 - 0.004. What is the biggest value in i, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1105195830 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 39299904?\nAnswer: 39299904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 - -7.02. Let i = 6 - c. Let s = -342\/7 + 49. Put s, -1\/5, i in descending order.\nAnswer: s, -1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -15*k. Let d be f(1). Let h = 9 + d. Let t(o) = -56*o - 5. Is t(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 2:32 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 7*o - 12*o. Is o <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56509263?\nAnswer: 3, 6278807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p = 5*j + 14, -j - 6 = -4*p. Let a(m) = m - 4. Let o be a(4). Sort -2, p, o in decreasing order.\nAnswer: p, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5 - 6*y**4 + 6*y**2 + 3*y = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**3 - v**2. Let f be z(-1). Let c be ((-44)\/(-33))\/(f\/(-66)). Let x = c - -46. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*c + 13 = 182 + 319 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/(-55) + 4\/22. Let p(r) = 3 + 6*r - 7*r - r - 1. Let l be p(w). Which is the closest to l? (a) -1 (b) 4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16325, 32634, 48943, 65252, 81561?\nAnswer: 97870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**2\/r)\/r)**(-48)\/(r**7\/(r**(-1\/13)*r*r)))\/(((r\/r**(-2\/5))\/r)**29\/(((r*r**(-6)*r*r)\/r)\/(r*r**4))) assuming r is positive.\nAnswer: r**(-4789\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -y + 90, 4*y - y = -4*x + 115. Let a(m) = m + 11. Let d be a(-7). Suppose q = -d*q + 15. Solve 0 = -2*r - 5*s + 20, -r = -6*r - q*s + x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2499*w + 884645. Determine n(-354).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588b (base 14) to base 4.\nAnswer: 3300303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 9*i**2 - 8*i + 6. Let r = -13 + 22. Let y be r + (1 - -1 - 12\/4). Calculate the remainder when x(y) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1554*a + 4625*a - 1548*a - 1524*a - 1. Let i(s) = 17*s + 7. Give -i(f) - 6*m(f).\nAnswer: -11*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*f - 1088*f - 40934 = 810*f + 31962 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -8. Suppose -5*t - 4*k - 4 = -t, -2*k = -i*t + 8. Solve 5*y + t = -19, 0 = -3*c + 5*y + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(98) - (sqrt(128) - sqrt(8)))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-118)\/((-6)\/(6\/(-2))). Let q = 273 - 161. Let d = q + z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 9:20 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 318915, 318719, 318385, 317907, 317279, 316495?\n\"Answer: -q**3 - 63*q**2 + 318979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*s - 60. Suppose -2*f - 5*g = -s, -5*f + 3 = 3*g - 6. Suppose -3*d + 2*h - 6 = f, -6*h + 4*h + 6 = -2*d. Solve 4*x - 23 + 7 = d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1111*s - 9619. Let b be y(129). What is b rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (13 - 6) - (2 - 1) - -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (96\/(-45) - 0). Let w be 22\/66 + 2\/(-6). Which is the second smallest value? (a) 1\/2 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9\/5, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.3 - -47. Let x = -1.7 + p. What is the closest to 1\/2 in -0.2, 3, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1595705 or -1595703?\nAnswer: -1595703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -3*m. Let j = m - -21. What is the remainder when 67 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4909.\nAnswer: 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyyianyynynnxy. What is prob of picking 3 y?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 greater than -145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56147652 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -20*a - 4. Let k be v(-2). Suppose -48 = -5*l + 3*x, 3*x + k = 2*l + 2*l. Suppose -21*r**2 - 3 + 3 + 6*r - l*r**2 = 0. What is r?\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-3 - -4))*(-10778)\/3804 - 75.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -15*p + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3450981777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -12 - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.11861 - -4428013.\nAnswer: 4428010.88139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474 = 6*c - 9*h, 4*c - 6*h + 160 = -7*h - 0*h + 4*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -8. Let f be o\/4*-9 - -2. Which is the closest to 0? (a) f (b) 0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -14 - 16. Calculate the remainder when 20 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4\/167 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2886, -5830, -8772, -11712?\n\"Answer: p**2 - 2947*p + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*f + 66, 5*t = 9 + 6. Suppose 2*k - 3*k = -f. Suppose o + o - k = 0. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/((-6)\/(-6)). Let f = -1.2 + 6.2. Which is the closest to r? (a) f (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4098 divided by 2\nAnswer: -2049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 17*l + 136. Let p(v) = -3*v**2 - 60*v + 406. What is -7*m(g) + 2*p(g)?\nAnswer: g**2 - g - 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 12, 1, -29, 3 in ascending order.\nAnswer: -29, 1, 3, 12, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*4\/(-4)*(-748)\/625328?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = w - 4*o, -2*o - 91 + 20 = -5*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4 = q. Suppose 26*z - 116 = 92. Solve -q = 3*h + z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -11 - (-41 + 9 + 29)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 9:42 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 19. Let v be c(8). Let u = 17 - v. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5581 = -1028*y - 19830 - 1317 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12951777 take away -8?\nAnswer: -12951769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 7 = -2*f + 5*k, 14 = f + 4*k. Let w(a) = 26*a**2. Let d be w(1). Suppose 0 = 4*o + 4*q - 168, -156 - d = -5*o + f*q. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -284a - 22?\nAnswer: -2870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -695.95552 rounded to the nearest integer?\nAnswer: -696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q - 10. Let c(t) = 12*t - 5 - 13*t - t**2 + 6. Let a be c(2). What is the units digit of i(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8924784 divided by 264.\nAnswer: -33806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or -1715\/4?\nAnswer: -1715\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1115.646 times -0.2\nAnswer: 223.1292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605948?\nAnswer: 2, 3, 37, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-21)*((-280)\/(-105))\/4\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 1, 3.55, -2\/19 in decreasing order.\nAnswer: 3.55, 1, -2\/19, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**5\/20 + q**4\/6 - q**3 - 3*q**2\/2 + 81*q. Let z(g) = -2*g**3 + 5*g**2 - 13*g - 7. What is 7*o(u) - 3*z(u)?\nAnswer: -u**3 - u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**4 - 12040*k**3 - 7525440*k**2 + 1156446720*k + 1640051712000 = 0?\nAnswer: -936, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 2*l. Let n(j) be the first derivative of -10*j**2 + 2235. Give n(s(i)).\nAnswer: -20*i**2 - 40*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 6:51 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = 0, -6 = -3*k + q - 11. Is 1\/2240 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3250348?\nAnswer: 2, 812587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tytty. What is prob of picking 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r + 1. Suppose -17*l = -6*l + 33. Let o be 16\/(-50)*(3\/(-6) - l). What is the third smallest value in o, r, 0.15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 - 8*k**2 + 2*k**2 + 5*k**2. Suppose 0 = 2*x + 4 - 8. Let f(o) = -2 + 3 - 1 - 4*o**x. Give m(f(j)).\nAnswer: 48*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4859164153?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -742282187364*j**3 + 7422828766104*j**2 - 68924656*j + 160 = 0.\nAnswer: 2\/430779, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2328*h**5*q**2 - 15*h**2*q**2 - 6*h*q**2 - 73*h*q + 7*q**2 wrt h.\nAnswer: -46560*h**3*q**2 - 30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -305\/4 (b) 0.0412 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 10. Does 3 divide (-486)\/(-63) - h\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*i**2 - f**3 + 1550*f**2*i**2 + f**2*i*k - 2*f*i**2*k + 51*f*i*k - 3*k wrt i?\nAnswer: 2*f**3 + 3100*f**2 - 4*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 - -0.34. Let t = -4.99 - 0.01. Which is the second smallest value? (a) j (b) t (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*g**2*q**3 - 2*g**2*q**2*t - 29*g**2*t + 2*g**2 + 2*g*t - 12*g - 107*q**3*t wrt g.\nAnswer: 138*q**3 - 4*q**2*t - 58*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 3*o - 7. Let a be 3 - (-2 + (9 - 3) + -4). Give j(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + sqrt(3)*-3 - (-2 + sqrt(3))**2*-5) - (2*(sqrt(30)\/(sqrt(40)\/sqrt(4)))**2 - (sqrt(144)\/sqrt(12) - (sqrt(3) + sqrt(96)\/sqrt(8)))).\nAnswer: -93*sqrt(3) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25130785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -333.5 - 41.5. Let g = -373 - k. Which is the closest to g? (a) -0.2 (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/8)\/i**(-4\/5)*i**(-2\/15)*i**(-1\/3) assuming i is positive.\nAnswer: i**(-1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 17*s**2 - 1. Let t(o) = 155*o. Give j(t(h)).\nAnswer: 408425*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 12:03 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tstea. What is prob of sequence as?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 590*x**3 + 5*x**2 - 15*x - 9. Let p(s) = -589*s**3 - 4*s**2 + 17*s + 10. Let m(r) = -4*n(r) - 5*p(r). Find the second derivative of m(a) wrt a.\nAnswer: 3510*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 2697572408261.\nAnswer: 2697572408260.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 6*s + 7. Let v be d(-7). Let x be (-8)\/((-13)\/(-78) - v\/12). Suppose -3*n + 11 = -13. What is the greatest common factor of n and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-1)\/(2 - -3)). What is the units digit of (-806)\/6*(o + -4 + 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173\/7147 + -163641053\/157234. Let i = p - -1043. What is the common denominator of -79\/2 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3810?\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127223 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 531293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*u + 12 + 0 = 0, -20 = -5*w - 3*u. Let d be (-2)\/(0 - (-4 - -2)). Let a = d + 4. Solve r - s = -0*s + w, 3*s = -4*r - a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.113643697 + 0.113712. What is v rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 9. Let w be y(12). Suppose x - 19 = -6. Suppose x = -m + w. Calculate the remainder when m is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h - 5. Let d(m) = -4*m - 4. Let y(c) = -2*c**3 + 7*c**2 + 6*c - 5. Let b be y(4). Determine b*d(o) - 2*k(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -435 minus -0.317?\nAnswer: -434.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 315732443 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -3*q - 100\/3*q**3 + 0*q**2 + 10\/9*q**4 - 1\/90*q**5 - 19. Suppose t(n) = 0. What is n?\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t, -3*m + 0*m = -t - 12. Solve m*j = 6 + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5\/2. Let o = -4 - -7. Suppose -q - 5*b + 20 = -b, -o*q - 15 = -3*b. What is the nearest to i in q, -0.5, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = w - 2*q - 3, 3*q = 5*w - 15. Suppose 3*g - 2*b = -g, 0 = g + w*b - 7. Which is bigger: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4253 in -4, -3, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 6. Let b be 3 - (t - (-1 - -2)). Suppose -b*w = -7*w. Solve 3*h = -3 - w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + 76430928300.\nAnswer: 76430928337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 325*m - 1137. Determine w(-113).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.6. Let u = 0.11 - 4.11. Let p = -17 + 18. Which is the nearest to p? (a) f (b) 3\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -939 minus 2132415.86?\nAnswer: -2133354.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -9 - (28 + -24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -34, -39, -44, -49, -54?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697082080 to the power of 1\/3, to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:10 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 11*b**2 + 10*b - 6. What is t(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - v. Let a(x) = -8 + 4 + 5*x**2 - x**2. Let y(i) = -a(i) - 3*d(i). Let t = 424 + -418. Calculate y(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -2 - 1) + (126 - 79). Solve -16 = 4*x, h*x = -5*m + 50*x + 30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2029*f + 2025*f - 40 = -5*x, 3*f - 2*x = -23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 464745*h**3 + 5 + 462026*h**3.\nAnswer: -2719*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541415?\nAnswer: 5, 7, 31, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 + 18 - 84*c**2 - 18 in the form j + z*c**2 + d*c and give z.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 20*v**2 + 5*v - 8. Let f be g(2). Calculate the greatest common factor of 902 and f.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112970581 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*-4*(0 + sqrt(637)))**2 + 3 + -6*((1*(sqrt(637) + 0) - sqrt(637))**2 - sqrt(637)).\nAnswer: 42*sqrt(13) + 9172803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 28875561*v**2 + 28875519*v**2 + 0*v.\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 5*q**4\/4 + q**3\/2 - 3*q**2\/2 - 24*q. Let n be k(-5). Suppose -9*u = -6*u - n. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 2*h. Let i(y) = -8*y**3 + 8*y**2 - 5*y + 12. Let n(m) = -4*i(m) - 28*x(m). Factor n(o).\nAnswer: 4*(o - 4)*(o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -82*x - 2. Suppose -3*o - 7 + 4 = 0. Is 16 a factor of t(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14383.64 - 9376151?\nAnswer: -9390534.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11164459421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = 2*i + 255. Let s(r) be the second derivative of -33*r + 0 + 0*r**3 + 1\/30*r**i + 0*r**2 + 2\/9*r**4. Factor s(v).\nAnswer: 2*v**2*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 220\/9 (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5629218 rounded to two dps?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k + 5*x = 165, 5*k + 2*x - 156 = 0. Let h(m) = -32*m**2 - k*m**2 + 95*m**2 - 30*m**2. Let u(b) = 5*b**2. What is u(h(t))?\nAnswer: 45*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/28*11\/(66\/24).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/4 in -21, -228, 18, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.478038 grams to tonnes.\nAnswer: 0.000000478038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 129, 297, 533, 837, 1209?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((216\/(-40))\/(-9))*2\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**2 - 14*i - 18. Suppose 0 = -5*b + 5, 0*b - 13 = 2*o + 5*b. Let x be j(o). Let a = -93 - x. What is the remainder when a is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006798 rounded to 5 decimal places?\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.4931 - 7.4931. Let x = 17.38 + 0.22. Which is the second smallest value? (a) h (b) 1\/11 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7641.583 + -7664. What is o rounded to zero dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 - -139.99999938. What is m rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5000 and 1160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -11*c**3 + 10*c**2 - 19*c + 44. Let h(l) = -14*l - 143. Let y be h(-9). Let p be z(y). What is p rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/7 (b) -0.73 (c) 5\/4 (d) 0.731 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/279 - 2100\/8525) + (-512)\/(-154)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5220)\/(-348)*48\/(-90)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111 + -1?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*j - 2, 22 = -0*j + 2*j + 4*y. Let r = -12 - -6. Let t = 1 + r. Which is the second smallest value? (a) -0.3 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/5225 and 127\/2090.\nAnswer: 10450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/21 - 14\/147) + 11 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -9*h - 2. Let q(c) = 360*c + 81. Let x(b) = -81*f(b) - 2*q(b). Let v(s) = -9*s**2. Give v(x(o)).\nAnswer: -729*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13164 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1242131 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 1. Let s(z) = 6*z - 5. Let d(v) = -10*m(v) + 2*s(v). Suppose -17*x + 16*x = -17. Let b(i) = 9*i - x*i + 7*i. Give d(b(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8390 <= 8389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56.64 - -0.36. Let t = 57.00001808 - m. What is t rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 114 = 4*j, 4*j - 7*j + 5*s + 68 = 0. Let t be 1\/(-3) + (-1)\/(-3). Suppose t = d - 4*d + 21. What is the remainder when j is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -96.8.\nAnswer: -290.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffnnfffn. What is prob of picking 3 n and 1 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*b**3*l + 1663*b**3 + b**2*l + 9*l + 375 wrt b?\nAnswer: -54*l + 9978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3498 or 12783?\nAnswer: -3498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2089 - -2092. Solve -12 = i*z, -21*z + 20*z = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 5*s**2 + 5*s + 4. Let g be 1 - 1 - (-2 - 0). Let v be 1 - (-2 - (g + -1)). List the prime factors of w(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1379\/4 + 56583\/164. Is j >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.4. Let s = 4.998 + -1.998. What is the fourth smallest value in 5, v, 2\/15, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 29*d - 149 = r, -2*r + 7*d - 6*d = -13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o**2 - 2 + 25*o**2 + 2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*((sqrt(65) - (sqrt(65) + (sqrt(65)*-1 - sqrt(65)))) + sqrt(65))*-5)\/(1*(sqrt(10) + (sqrt(10) - sqrt(30)\/sqrt(3)))\/sqrt(2)))**2*-5*-6.\nAnswer: -7020000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -86*x**2. Let s be c(-1). Let b = 89 + s. Solve -5 = o - b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1721, -6790, -15139, -26690, -41365, -59086, -79775?\n\"Answer: 13*p**3 - 1718*p**2 - 6*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4 - 12*y**3 + 45*y**2 - 58*y + 24 = 0 for y.\nAnswer: 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-8 - -10) + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 6120 = -29*a. What is a rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 4. Determine p(-13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(343)*1 + 5 - sqrt(343)) + -2 + 2*(sqrt(343) + sqrt(343) + sqrt(343)*2*-3) + -2)**2.\nAnswer: 336*sqrt(7) + 21961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/4 + (1 - 35). Let i = 34 + l. Factor 2\/7*u**2 - 2\/7*u**3 + 4\/7*u + i.\nAnswer: -2*u*(u - 2)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12093, 3, 2, -1, 5.\nAnswer: -4, -1, 2, 3, 5, 12093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**3 + c**2 - 2. Determine j(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1257\/3352)\/(-6*(-2)\/40)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 + 6*f**2 + 6. Let p = -801 - -805. Let x(h) = 2*h**3 + 7*h**2 + 5. Calculate p*x(b) - 5*m(b).\nAnswer: -2*b**3 - 2*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84603065.\nAnswer: 5, 2017, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 8*k - 4. Is 20 a factor of 62 - (-4)\/(k - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 421, 296, -69, -806, -2047, -3924?\nAnswer: -6569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*t = -28*t + 751 - 1951. Which is the third smallest value? (a) 1\/11 (b) t (c) -12 (d) -0.5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 1327?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4556374 and 0.03.\nAnswer: 136691.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2 + 553\/5. Let s = 112 - u. Factor s*l**4 - 2\/5 + 0*l**2 - 4\/5*l**3 + 4\/5*l.\nAnswer: 2*(l - 1)**3*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12*(-2 + 125\/80) and 27\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.96 * 2543.\nAnswer: 2441.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 196 - 46. Let c be 3*m\/9*1. Suppose 2*w = -3*w + c. Solve -b = -6*b + w, 3*b = -4*t + 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177559.\nAnswer: 353, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 12:08 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/6*(-6)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71567*m*z**3 + z**3 - 53*z + 93 wrt m.\nAnswer: -71567*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1094, -2\/11, 19 in decreasing order.\nAnswer: 1094, 19, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 4\/5*p**3 + 0*p**2 - 6 + 0*p - 9\/25*p**5 + 1\/10*p**6 + 0*p**4. Factor l(g).\nAnswer: 3*g**2*(g - 2)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 17 + 22)*(-20*j + 11*j**3 + 20*j) as m + s*j**2 + c*j**3 + b*j and give c.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -834.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 7, 6, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -564*v + 625*v - 4453. Solve 43 = 5*q + v for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n - 2. Let h be (0 - -3) + -3 - -1. Let p(f) be the second derivative of -f**3\/6 + 10*f - 1. Determine h*c(r) + 5*p(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8146 - -11880. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-282680)\/(-52) + -4 - (-6)\/(-663)*17. Calculate the highest common factor of m and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 26.91. Let d = l + 1.09. Let i be 1\/(26\/(-8) - -1). Which is the closest to d? (a) -1 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 351.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(2\/5)*j)*j*j**(8\/3))\/((j\/(j*j**(-2\/31)))\/(j\/(j**6\/j))) assuming j is positive.\nAnswer: j**(-371\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -467354\/55 - -8497. Calculate the common denominator of -68\/495 and c.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 11:41 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + v = 3*y - 5, -3*y + 3*v - 15 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95449*j**3 + 6*j + 286349*j**3 - 95453*j**3 - 6*j - 95449*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -45457640583.\nAnswer: -45457640579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-36)*-4 - 0. Let r = -1.414 - -0.914. Suppose 4*w - 6 = 30. Which is the third biggest value? (a) r (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1623, -4\/5, -0.6, 5\/2 in decreasing order.\nAnswer: 5\/2, -0.6, -4\/5, -1623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1260522 by 93.\nAnswer: -13554","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d + 2*d**5 - 9*d - 5*d)*(3 + 2 - 1).\nAnswer: 8*d**5 - 112*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m - 3*u, 3*u - 4 = -4*m - u. Suppose 3*t + 4*k - m*k - 12 = 0, -3*k = t - 11. What are the prime factors of t\/6*(-3 - -228)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 - 60. Let k = -48 + h. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)\/z)\/((z*z\/z**(-2))\/z))**(-23)\/((z**(-2\/3))**49)**(23\/2) assuming z is positive.\nAnswer: z**(1472\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.72175 times -2.53?\nAnswer: -17.0060275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 26. Suppose -g*q = -0*q - 24. Suppose -2*d - 1200 = -q*d. Calculate the greatest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, -20, -54, -90, -122?\n\"Answer: q**3 - 10*q**2 - 3*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21039.\nAnswer: 3, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -51.\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j = -1603 + 1753 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 3125?\nAnswer: 3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d**3 - 32*d**3 + 53*d**3.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*z = 138*z + c - 8, -c = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 15213614.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -501*n**2 - 300096*n + 1803. Give d(-599).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.1 + -12. Let d = 0 - g. Let c = 0.108 + 0.392. What is the second smallest value in c, d, 2, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -6. Suppose -2*r - 8 = -a*r, -5*k - 2*r = -22. Suppose -w + k = -9. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339462 to the power of 1\/2, to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83776, -167564, -251352, -335140, -418928, -502716?\nAnswer: -586504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y - 9 = 0. Suppose -y*r = 2*r + 4*w - 103, 2*r - 2*w - 34 = 0. What is the second derivative of 2*g + 7*g - 2*g - 27*g**3 - r*g wrt g?\nAnswer: -162*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0 + 1\/7*c**8 + 0*c**4 + 0*c - 7\/40*c**6 - 1\/20*c**5 - 4\/35*c**7 - 3*c**2 + 0*c**3. Solve s(t) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*-1*(3 + sqrt(684) + (sqrt(684) - ((sqrt(684) - 4*sqrt(684)) + sqrt(684)))**2 + sqrt(2736) + (sqrt(2736) + sqrt(2736)*-4)**2 + -5).\nAnswer: 108*sqrt(19) + 184671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2669512 is divided by 1816?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6296 is divided by 1293?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 578.\nAnswer: -1\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in 2\/17, 5, -3, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:33 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 + (416\/(-65) - 8\/(-20)) is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -969*v - 21. Let q be k(-9). What is q rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 9*i + 13. Let l be ((-4)\/(-6))\/(2\/27). What is the tens digit of z(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 66*k - 1036. Calculate c(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223.8145 months in millennia?\nAnswer: 0.185317875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g**5\/5 - 1647*g**4\/5 + 100843*g**3\/5 - 433593*g**2\/5 - 643402*g + 190440 = 0. Calculate g.\nAnswer: -4, 2\/7, 9, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -305 - 37066\nAnswer: -37371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*k - 3. Is (-129)\/(-6) + k\/(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 981\/(-45) + (-2)\/10. Let s = -22 + 39. Let f = s - m. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -8.68. Let a = -5.68 - l. Which is smaller: a or 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.7 + -3.6. Let x = -1.3 + b. Let r = x - 3.79999979. Round r to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 9:37 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, 8, 1699, -4, -1 in ascending order.\nAnswer: -13, -4, -1, 3, 8, 1699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.47012 grams in tonnes?\nAnswer: 0.00009247012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4465 - -6884. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 1 + sqrt(192)*2 - -3*(sqrt(192) + -2*sqrt(192)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, -0.2, -1\/4, 436\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1122987996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -54543130\nAnswer: 54543130.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-1 + 3 + 0)*(2 - 3*f**2 + 0*f**2 - 1).\nAnswer: -12*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*n + 62, -n - 2*i + 4*i + 28 = 0. Let l be -4*(-3)\/n*298. Suppose -5*f + l = -186. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 135*j**3 + 55*j - 165. Let d(n) = 15*n**3 + 6*n - 18. Determine 55*d(b) - 6*u(b).\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 15) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*y - 392 + 7992 = 15329 for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {a: 3, f: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 - 0.6. Let m be 4*((-12)\/10 + 1). Which is the closest to l? (a) -2\/13 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 k when three letters picked without replacement from duuduku.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**(2\/7)*t*t)**(1\/16)\/((t*t**1)\/t)**17)**12)**(11\/4) assuming t is positive.\nAnswer: t**(-30987\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 3. Let g be h(6). Let k(m) be the second derivative of -m**4\/12 - m**3\/3 - 68*m + 2. What is k(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 3) to base 14.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001161 rounded to 7 decimal places?\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -12*k - 8. Let q(h) be the second derivative of -1\/12*h**k + 3*h + 1\/6*h**3 + 0 - 1\/20*h**5 + 0*h**2 + 1\/30*h**6. What is v in q(v) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2036, -4077, -6118, -8159, -10200?\nAnswer: -12241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-13)\/78)\/((-46)\/(-3)). Let p = 11\/46 - v. Let -p + 1\/4*o**2 + 0*o = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Let t = x + -3. Suppose t = 2*v - 2 - 14. Solve 2*q - v = 3*a - 0*q, 0 = -5*a + 3*q - 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2522.27mg to grams.\nAnswer: 2.52227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 at least 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000070646 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4 + 164\/72\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 2. Let k be m(-3). Put -3, k, -4 in descending order.\nAnswer: -3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044706014.\nAnswer: 2, 3, 11, 31, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4\/5 - 12*j**3\/5 + 20*j**2 - 84*j\/5.\nAnswer: -4*j*(j - 3)*(j - 1)*(j + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5601269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.72 + 1.92. What is the nearest to 0.1 in r, -4, -0.029?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -37*r**2 - 2*r - 2. Let a(j) = 0*j - 89*j + 4*j + 8*j - 1364*j**2 - 77 - 43*j**2. Calculate 2*a(w) - 77*y(w).\nAnswer: 35*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**3 - 165*f**2 - 969*f + 31. What is o(-6)?\nAnswer: -1607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 20*y + 65. Let t be v(-3). Put -5, -12, t in increasing order.\nAnswer: -12, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + (-1 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 10:29 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 167*f**2 + 2811*f - 166. What is h(-148)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2. Let g(y) = y**2 + 7*y + 7. Let t be g(-6). Let a = t - -1. Let s(l) = -3*l**2 + 4*l**a + l**2. Determine s(k(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 5)*(0*f + 3*f + 0*f) + 6*f - 2*f - 26*f - f + 2*f + 16*f)*(-3*f - 2*f + f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41050 and 0.74?\nAnswer: 30377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 327 and 1296882?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-3)*-1*(-30)\/25. Let l(z) = 0*z + g*z - 1 + 3*z - 5*z. Determine l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -0.03 (b) 0 (c) 5\/3 (d) -801 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -21*w - 333. Let k(s) = -4*s - 67. Determine 2*i(p) - 11*k(p).\nAnswer: 2*p + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 303826, 607652, 911478, 1215304, 1519130?\n\"Answer: 303826*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*m**2\/7 - 2517600*m\/7 + 24804.\nAnswer: -3*(m + 28938)*(29*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -5, 35 in descending order.\nAnswer: 35, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4 = 3*p + 2, -5*p = -j + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -72012332672159.\nAnswer: -72012332672155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1, 2\/9, -0.4 in ascending order.\nAnswer: -0.4, -1\/5, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/49, 0.2, 1477 in increasing order.\nAnswer: -1\/4, 1\/49, 0.2, 1477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**3 - 1164*x**2 - 6849*x - 10206 = 0.\nAnswer: -1134\/5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1\/27 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z + 55 = -39*z - 25 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddndndddn. Give prob of sequence ndnn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -127, -210, -207, -76, 225, 738, 1505, 2568?\n\"Answer: 7*o**3 + o**2 - 135*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*i - 44 = 0, -3*m - 30 = -2*i + 5*i. Let v be (-22)\/m - 3\/(-9). Let z = 0 + v. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 342*t + 347. Calculate p(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 46 + 2\/5*5. Let l = h + -32. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -927*x - 934*x - 930*x + 3721*x - 929*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11122 (base 5) to base 6\nAnswer: -3351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 4. Let f(d) = d**2 - 5*d - 4. Let u be f(v). Suppose i = -2*l + 14, -l = 4*i - u - 26. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-102)\/(-27) - 2\/(-9). Let l(s) = -s**3 - s**2 + s + 1. Let f(v) = 3*v**3 + 9*v**2 - 8*v. Let u(b) = t*l(b) + f(b). What is the units digit of u(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3 + 377*w**2 + 44736*w + 1704960 = 0. What is w?\nAnswer: -185, -96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1081 and 3281587.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7072*d**2 - 7062*d**2 + 20757*d**2 - 6612*d**2.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919249713.\nAnswer: 3, 102138857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 633 - 247. List the prime factors of a.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 8:37 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 4)*(3 - 4 + 2) - 1 + 2 - 3 - 1 - 4 + 3 + (-3 + 3 + 1)*(0 + 3 - 1) - 4 + 3 + 3)*(-m**3 + m**3 + m**3).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 + -64.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 219*b**2 + 13*b - 24. Let x(g) = 436*g**2 + 24*g - 44. Determine 11*c(z) - 6*x(z).\nAnswer: -207*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 444, -2, 0.4, -1\/2, -5 in descending order.\nAnswer: 444, 0.4, -1\/2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 14047*d - 42178. Determine o(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -100*b**2 - 6*b. Let d(g) = -6700*g**2 - 400*g. Let m(z) = -3*d(z) + 200*u(z). Let t(c) = -4*c**2. Give t(m(h)).\nAnswer: -40000*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -799 + 784. Let b = -65.4 - -66. What is the second smallest value in j, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 - (-29 + 34) - (28 - 3 - 11)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 13) in base 5?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5764 - 5758. Solve 0 = -b*n - 34 - 2 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t - 9. Calculate i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by -4\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, f: 4, a: 1, r: 2, k: 1}. Give prob of picking 2 h and 1 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*x + 3, 2*x = -3*k - 19. Which is smaller: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3)*18\/(6 - 12). Sort -1, 0, v, 7 in ascending order.\nAnswer: -1, 0, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 4937268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*y**3 + 183*y**3 + 193*y**3 - 732*y**3 + 176*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -273 + 269. Which is the smallest value? (a) -3 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -910.55891 and -0.208?\nAnswer: 910.35091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3*a - 14 - 6 = 0, 2*y - 8 = -4*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10601.2 to the nearest 100.\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 2, 0.1, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 v when three letters picked without replacement from {v: 12, l: 3}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 7. Let w = -23.6 - -25. Let l = -1 + w. Which is the third smallest value? (a) l (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a century in months?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -43. Determine y so that -2*y**k - 5*y**2 - 2*y - 3*y**2 + 12*y**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m**2 - 294*m - 2131. What is k(-11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171 + 204. Suppose -11*u + i = -22. What is the remainder when 17 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 9)*(119\/(-42) + 3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7782274 or 7782272?\nAnswer: 7782274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 523579325 - -1102?\nAnswer: 523580427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/15)\/((-6)\/15). Suppose 4 = -w*t + 4*t. Solve s + 5 = -0*r + 2*r, -t*s = -2*r + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -114, -0.14, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142 by -19816.\nAnswer: -71\/9908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1, 0.76, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 21. Let n = 20 - 37. Let k = p + n. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12662.\nAnswer: 2, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(1539)*2*2)**2.\nAnswer: -49256 - 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 7*w + 22. Let p(h) = -4*h**2 + 13*h + 46. Let g(b) = -6*p(b) + 13*y(b). Let n = 24 + -8. Calculate the remainder when g(5) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 + 6*r**2 + 13*r + 7. Let d be m(-5). Let z = -104 - d. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(171) - -4*(sqrt(171) - sqrt(171)*-4))*-2)\/(sqrt(1089) + sqrt(1089)*3*4))**2.\nAnswer: -7382\/20449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323 less than or equal to 1433716\/617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-6)\/(-12)*(-7)\/(196\/16)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6352, -12706, -19050, -25378, -31684, -37962?\n\"Answer: k**3 - k**2 - 6358*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 199.73 - 199. Let j = a + 3.27. Put j, 19, -1\/8 in decreasing order.\nAnswer: 19, j, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d5 (base 15) to base 14\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((-143)\/(-30316))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 4*r - l, l - 7 = r - 28. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/19 + 168*h\/19 - 1480\/19.\nAnswer: -2*(h - 74)*(h - 10)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/((-84)\/112).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*k + 14 = -150. Which is the closest to 1\/3? (a) -4 (b) -0.06 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -392\/33 (c) 3\/8 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45641 (base 7) to base 8\nAnswer: 26572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 3 - b - 3*b. Let a(p) = -2*p**2 + 5*p - 2. Let r be a(3). Let f(m) be the second derivative of -m**3\/3 - 2*m**2 - m. What is r*g(j) + 4*f(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 1. Let y = 6 + -8. Let z be v(y). What is the second smallest value in -1, z, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, s: 1, j: 2}. What is prob of sequence jsj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 14*y**2 - 2*y - 1. Let n be z(-1). Let r be (-20)\/n + 0 + 0. Which is the nearest to 0? (a) -4 (b) r (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*a + 26 = -2*c, c - 2*a + 1 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n - 95 = 0. Let a = n - 15. Suppose -t - a*t + 10 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-14) + (-13)\/(-7). Suppose -12 = -a*h - h. Let i(o) = 1500*o**2 + o - 4. Let m be i(h). What is m rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24732648 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5 (b) -5619 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19320\/(-91))\/12 - -18.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -259 + 266. Solve r*d - 6*d + 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-10 + 6 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2776447.2 months in years?\nAnswer: 231370.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -401076047 to the nearest 10000.\nAnswer: -401080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v - 22. Suppose -5*z + 15 = -0. Suppose 0 = z*p - 31 + 4. Does 16 divide s(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (0 - 4 - -8 - 13)) + 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 42*d**2 + 90*d**2 - 45*d**2 - d. Let v(r) = -78*r. Let x(z) = -11*z. Let i be 12*1\/((-8)\/(-20)). Let k(f) = i*x(f) - 4*v(f). What is k(p(a))?\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12775\/20 + (-3)\/(-12) + 1. Suppose -10 = 2*n, -2*n = -2*d + 118 - g. What is d rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 3590.\nAnswer: 287.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13006419 and 1362?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 57 - 44 + 231*c - 9.\nAnswer: 231*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/2)\/k)**(-3\/26) assuming k is positive.\nAnswer: k**(-9\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 139 = 54 + 15 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 297300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 1 = 5*j + 14, -4*j - 23 = -3*n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/((-748)\/48))\/(22\/(-121))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 - 180?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4075*h**5 + 488*h**2 - 2*h?\nAnswer: -244500*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.6 + -3.98. Let s = -1.38 - t. Which is the second smallest value? (a) 4\/7 (b) s (c) 2\/7 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29520 - 260371.\nAnswer: -230851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**3 - 3*j - 5 + 7 + 1. Let w be 2\/10 + (-160)\/50. Let r(g) = g - 2. Let f be r(0). Let m(a) = -4*a**3 + 2*a - 2. What is f*q(p) + w*m(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 677208?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + 1\/(-4)*799. Let p = -142 - z. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(11) - ((sqrt(132)*2)\/sqrt(12))**2) + (-5*sqrt(99))\/sqrt(9)).\nAnswer: -132 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1792 and 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**3 + 6*t**2 - 8*t + 31. List the prime factors of h(4).\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10243, 82201, 277525, 657901, 1285015?\nAnswer: 2220553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5970*l + 4359. What is the ten thousands digit of c(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*o**2 + 11396 - 1590*o**2 - 11403 to the form v*o**2 + i*o + x and give v.\nAnswer: -1669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 9 = i. Let u = 13 + -12.8. Sort u, 4, i in decreasing order.\nAnswer: 4, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(40)\/(sqrt(8)*-2).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/(-192) - (-218)\/12. What is the greatest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 79513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**3*t - 44126*b**3 + 5054*b*t wrt t.\nAnswer: 2*b**3 + 5054*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16*3\/21 - (-74)\/(-259). Suppose 3*h - 2400 = -4*k, -n*h + 3086 = 4*k + 690. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -204227 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and (-268)\/(-22) + (-6)\/33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/17 (b) 4\/11 (c) 0.15 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -2*z - 16*q + 18, 0 = -4*z - 2*q + 4. Solve 0 = g + 4 - z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2057))*-4 - (-1 + -2 + sqrt(2057)) - ((sqrt(2057) - (0 + sqrt(2057))) + 0 - (5 + -1 + sqrt(2057))))**2.\nAnswer: -1320*sqrt(17) + 33137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -69561 (b) -0.5 (c) 108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -457 and -13182.4.\nAnswer: 6024356.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c - 8. Calculate the highest common factor of 36 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37513575, 75027133, 112540691?\n\"Answer: 37513558*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -6. Let z(d) be the first derivative of d**7\/840 + d**6\/180 - d**5\/60 + d**4\/24 - d**3\/3 + 1. Let g(m) be the third derivative of z(m). Give g(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p = 31*p + 4. Solve p = 3*o + 3*b - 7*b, -2*o = b + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 1, u: 2, j: 1, y: 1, e: 1}. What is prob of sequence jyp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1865197755?\nAnswer: 3, 5, 17, 431, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11519333863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -1.6. Let r = 277\/28 - 64\/7. Let t be 100\/(-195) - 2\/(-3). What is the third biggest value in d, r, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*h - 1279*h + 319*h + 323*h + 321*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318248891.\nAnswer: 17, 43, 47, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1775127295100340 and 1.\nAnswer: -1775127295100339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -212.61 to the nearest integer.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5218*w**6 + 3689*w**2 wrt w?\nAnswer: 626160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*o, -22 = y - 5*y + 5*o. Solve y*s = -3 + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-220))\/((-2)\/(-4)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -380, -390, -410, -446, -504?\n\"Answer: -v**3 + v**2 - 6*v - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvirrqrrnnqq. What is prob of sequence bi?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 208, 213, 222, 235, 252, 273, 298?\n\"Answer: 2*g**2 - g + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 - 3*y - 1. Let s be z(-2). Let q = s + 6. Which is the closest to -2? (a) q (b) -2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 2*t**3 - 84054 - 6062 + t**3.\nAnswer: -t**3 - 90116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24234 + 44884. Round l to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -3, -296 in increasing order.\nAnswer: -296, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1388 minus 11966.4879693?\nAnswer: -13354.4879693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 (base 11) in base 8?\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n - 17*n - 9*n**3 + 5*n - 11*n.\nAnswer: -9*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*t + 27 = 0, -12 = -t - 2*t. Calculate the remainder when 104 is divided by g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 30\/11 (b) -5\/3 (c) 0.3 (d) 0.9 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136777080 divided by -9118472?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 - 10*m + 1. Let o(s) = s**2 - 9*s - 5. Let b be o(10). Let l(i) = -5*i**2 + 9*i - 2. Let t(h) = b*l(h) + 4*p(h). Calculate t(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b\/b**(-16)*b)\/(b**(-3)\/b))\/(b**(3\/14)\/b*b*b\/(b**4*b)))**(9\/4) assuming b is positive.\nAnswer: b**(3501\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -118, -342, -794, -1588, -2838?\n\"Answer: -19*s**3 - 91*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1054 + 2?\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61266 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 28*c**2 - 286*c + 102. Determine i(-36).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1747602539 is divided by 2010?\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (4 - 5) - 1) + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y - 33 = 0. Suppose 5*k - 129 - y = 0. Let l = -8 + k. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 9375?\nAnswer: -937a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 1. Let j = -2 + 4. Let f be r(j). Suppose 2*d + 3402 - 754 = -f*l, 4416 = -5*l - 4*d. Round l to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d + 11 - 21 + 16*d**2 + 10 - 34*d**2.\nAnswer: -18*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4938120 divided by 3828\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1881 and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 31*v - 5. Let a(m) = -32*m + 6. Let x = -185 + 190. Let o(n) = x*a(n) + 6*b(n). Let w(y) = 2*y. Determine o(w(c)).\nAnswer: 52*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -300928*l**3 + 2*l**2 + 618*l + 167 wrt l?\nAnswer: -1805568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24357007 is divided by 1059000.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22079752753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 435\/87 - -15385999*5. What is h rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -424 - -388.3. Let t = -1.8 + p. Let d = 37.50000219 + t. Round d to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 304, -15496, 5\/3, 2\/5 in descending order.\nAnswer: 304, 5\/3, 2\/5, -15496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. What is the third smallest value in z, -1, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-1\/2)\/s)*s**(-7))**(-1\/12) assuming s is positive.\nAnswer: s**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Work out -0.13632 * -1422.\nAnswer: 193.84704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -373718247*d - 214383028.\nAnswer: -373718247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 10. Let f be d(-16). Suppose 55 = f*z - 65. What is the nearest to -1 in z, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.9 times -8?\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1998325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, l: 5, s: 5}. What is prob of sequence sm?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3291, -3280, -3255, -3210, -3139, -3036, -2895, -2710?\n\"Answer: w**3 + w**2 + w - 3294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.79 + -13.41. Let m = -14 - s. Which is the third smallest value? (a) m (b) -0.3 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1142*p**2. Let g(f) = -6*f**2. Give s(g(w)).\nAnswer: 41112*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -1\/20*b**5 + 0 + 7\/2*b**3 + b**2 - 3*b - 3\/4*b**4. Determine d so that u(d) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - 2*g**2 + 2*g - 2. What is the tens digit of a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*sqrt(832).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10032 = 721 - 56989. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + 3*v**2 - 2 - 2*v**2 + 2*v - 3*v**2 - 120*v**2 - 47*v**2 - v + v**2 + v + (3*v - 5*v + v)*(3 + 2*v - 3).\nAnswer: -170*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/35 and 83\/52660.\nAnswer: 368620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -669967 and -2679873\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/20*15*-2. Suppose 94 = 5*g - 11. Let k = u - g. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w**(-4))\/w)*w)\/w)**25\/(((w\/(w\/(w**(-1\/18)*w))*w*w)\/w)\/(w*w**(-2\/13))) assuming w is positive.\nAnswer: w**(28993\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -30.49896535.\nAnswer: 30.29896535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 10*k**3 - 104*k**2 + 160*k + 1152.\nAnswer: 2*(k - 9)*(k - 4)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.515 in 5\/2, 5, 2, 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -2\/11*a**2 - 13\/6*a**4 + 64\/165*a**6 + 0 + 24\/55*a**5 + a**3 + 33*a. Solve q(n) = 0 for n.\nAnswer: -2, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 461 - 985 + z**2 + 460 as m + p*z + u*z**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/6 + 3)\/(10\/12). Let w(y) be the second derivative of -3\/4*y**4 - 2*y + 0*y**a + 0 + 0*y**3. Calculate w(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (16 - 10) + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = -o. Let c be (15\/o)\/((-4)\/(-36)). Does 16 divide (-6)\/c - (-616)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = -4*f, 5*f = 3*k + 9 - 4. List the prime factors of k\/(-35)*-7*175.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - 0.08. Let w = -10 + 39.9. Let y = w + -30. Is y <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**2 - 9*n - 1. Let u = -8 + 6. Let z be (u\/4)\/(3\/30). Let s(d) = -8 - 22*d**2 - 2 + 8 - 22*d. Determine z*s(p) + 12*r(p).\nAnswer: 2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 1:59 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**3 + 9085472*k**2 - 5159130762320*k + 20636377681984 = 0?\nAnswer: 4, 1135682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**(-4)\/u))\/(u*u\/(u**(2\/19)*u)*u))\/(u**(-5)\/u**1)*(u*u\/(u**2\/u*u)*u\/(u**(-1)\/u))\/(u**0)**(-20) assuming u is positive.\nAnswer: u**(268\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 210\/(-75) + (-227412707)\/(-115) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35183530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -894*m**3 + 455*m**3 + 440*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 f, and 1 j when three letters picked without replacement from offjjfjj.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -4, -1695?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169819 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2592, 2599, 2592, 2565, 2512, 2427, 2304, 2137?\n\"Answer: -f**3 - f**2 + 17*f + 2577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 205.7 + -200.7. Which is the biggest value? (a) -2\/9 (b) f (c) 0.5 (d) -20 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**4 - t**3 - 19*t**2 + 385*t?\nAnswer: 12*t**2 - 6*t - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.34 + -0.1. Let y = 0.075 + -0.015. Let b = k + y. What is the second smallest value in -0.3, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1227605045 minus -197?\nAnswer: 196.8772394955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -2*y**5\/15 - y**4\/4 + y**3\/3 - 5*y**2. Let n(l) = 0. What is l?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 2*t. Let n be a(4). Find the common denominator of (6\/(-9))\/(n\/426) and -14\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23289 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.715314 centuries to months.\nAnswer: 6858.3768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 108 = 7*b. Suppose -4*w = 3*g + 3 + 7, -2*g - 5*w - 16 = 0. What is the greatest common divisor of g and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) + (-26)\/(-8). Let u(g) = -g**3 + 4*g**2 - g + 5. Let q be u(4). Let n be 2*(d - q - 0). Solve 4*z = z, 6 = 2*f - n*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-320)\/(-8576)*(-6)\/(-15)*1\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 34*h + 31. Let x be y(-1). Sort -4, x, 5.\nAnswer: -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -415, -965, -1745, -2761?\nAnswer: -4019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g - 42. Determine t(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 200 = -c, -493*f = -2*c - 488*f + 424. Calculate the greatest common factor of c and 3973.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/19))**(8\/17)*(a\/a**(1\/2))\/(((a**(-7)*a)\/a)\/a))**(-44) assuming a is positive.\nAnswer: a**(-128194\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -9. Let h be (9\/7 - 1)\/(14\/98). Let j(c) = 17*c + 1. Let k be j(h). Calculate the highest common factor of m and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32511849979 rounded to 5 dps?\nAnswer: -0.32512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3948.4 + 3948. Which is the closest to 1\/3? (a) 2\/15 (b) 7\/3 (c) -1\/4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1358597, 2717165, 4075733, 5434301, 6792869?\n\"Answer: 1358568*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 16 = -3*p + 6, 4*p + 17 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.61 + -1.61. Which is the closest to 6\/13? (a) -0.1 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m - 5. Let x be 1\/(m + ((-15)\/(-7) - 1)). Suppose -x = -4*o + 33. Solve 5*t + 1 = -4*q, -o = t - 3*t + q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/45)\/((-28)\/18)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10450 = 13*o + 9*o. Let f = o + -480. Let b = -5 + 1. Put b, -2, f, 0 in decreasing order.\nAnswer: 0, -2, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -204, -309, -416, -525, -636?\nAnswer: -749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 + -198 + (5 - -2) - 47?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -136 (c) -0.5 (d) -6 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, -10, -79, -220, -457, -814, -1315, -1984?\n\"Answer: -4*j**3 + 7*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-8))\/(3\/48). Let m(k) = 4*k**3 + k**2 - 31*k - 14. Let r be m(v). Round r to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 3, -3, -11\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -406 + 537. Let w = 131.0002008 - k. Round w to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, -899, -1884, -2869, -3854, -4839?\nAnswer: -5824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98956?\nAnswer: 2, 11, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 50*n - 348. Calculate the highest common factor of n and 1630.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgbbpqbbbgbbbq. What is prob of sequence pgq?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/sqrt(72) + 4*(sqrt(17) + -1*sqrt(17)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 27*t + 33. Let l be b(0). Sort 5, -4, 3, l.\nAnswer: -4, 3, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237200 rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)*q*q**(-2)*q**(-1\/3)*((q\/q**9)\/q)\/q assuming q is positive.\nAnswer: q**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*v - 8 - 30, 5*f + 39 = -2*v. Let n = -20 - v. Let s(t) be the first derivative of t**3\/3 + t**2\/2 + 3. What is s(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drddddxdxdqxxr. Give prob of picking 1 q, 1 d, and 2 r.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 15*l**3 - 356 + 13*l**2 + 39*l**3 - 39*l**3 + 358 to the form w*l**2 + t + p*l**3 + x*l and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2\/9, -3, 38?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 11*g**2 + 2*g - 1. Let p be w(-2). Suppose 121 = 5*n - p. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkkkksk. Give prob of picking 2 k and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 6. Let f(c) = -2*c + 11. Let l(y) = 4*f(y) + 7*q(y). What is l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/17 - 1389570*z**3\/17 + 321800787582*z**2\/17 - 24836047250282102*z\/17 - 894514819665999096\/17 = 0. Calculate z.\nAnswer: -36, 231607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**3 + 2*z**2 + 4*z - 4. Let v(w) = 5*w**3 + w**2 + 3*w - 3. Let j(o) = 5*v(o) - 6*x(o). Let g be j(8). Is -1\/16 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 4 = k, 3*k - 2772*v = -2774*v + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3 + 2252*o**2 - 568760*o - 37594800 = 0.\nAnswer: -54, 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -25. Let l = v + 10. Let f(t) = 2*t**2 - 6*t - 6. Calculate the smallest common multiple of f(l) and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/64805 and -19\/15348815.\nAnswer: 199534595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - 10) + (17 - 12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/4 + 17*q**3\/4 - 3*q**2\/2 - 24*q + 8.\nAnswer: (q - 2)*(q + 4)**2*(3*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z - 2. Let b = -10 - -4. Let u(a) = 8*a - 3. Let h(o) = b*u(o) + 7*q(o). Let g be h(0). Let c(v) = v + 2. What is c(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d - 16*d - 2*d)*(3 + 1 - 3) + 15*d + 17*d - 11*d + d + 2*d - 4*d + (-1 + 0 + 2)*(-5*d + d + 3*d))*(d**3 - 2*d**3 + 2*d**3).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, 3, -2\/307 in ascending order.\nAnswer: -4, -2\/307, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t + 6. Let g(v) = v + 1. Let a(w) = 6*g(w) - o(w). Let c(x) be the second derivative of x**4\/2 - 12*x. Give a(c(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -79, -162, -247, -334, -423, -514, -607?\n\"Answer: -y**2 - 80*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -114, -144, -160, -156, -126, -64, 36, 180?\n\"Answer: l**3 + l**2 - 40*l - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 less than 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 h when four letters picked without replacement from {h: 12, c: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/20*(-8211)\/10557.\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Suppose -g*z + 6 + 11 = n, -53 = -4*n - 5*z. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6166550 and 8633170?\nAnswer: 43165850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 2 + 2 + (35*j**2 - 58 + 58)*(0 - 2 + 0).\nAnswer: -67*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 2*c**2 + 2*c**2)*(-2*c + c + 3*c - 1 + c + 1 + (-5 + 4 + 3)*(1 - 2*c - 1)).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 374335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from {x: 3, d: 1, v: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/8 of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - (-12)\/(-4))*3\/6. Suppose a + 4*a - 3*t - q = 0, -4*t = -12. What is the second derivative of 39*x - 29*x**3 + 15*x**2 - 15*x**a wrt x?\nAnswer: -174*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.08 (b) -0.5 (c) 5 (d) -1.6 (e) 1.9 (f) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96538 is divided by 32122?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.9 or 215?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673029 is divided by 5427.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 4:40 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/3 - 131108*x**2\/3 - 262222*x\/3 - 43704 = 0. Calculate x.\nAnswer: -1, 65556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 4*c**2 + c. Suppose 46 - 96 = 10*j. Let l be ((-8)\/j)\/2*5. Determine o(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**4 - 2*f**4 - 3*f**4)*(-8 - 8 + 21).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176398 is divided by 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -70, -119, -194, -307, -470, -695?\n\"Answer: -2*o**3 - o**2 - 32*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*s**3 - 6565*s**2 + 78270*s + 49320 = 0. Calculate s.\nAnswer: -274, -3\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*m, 5*m + 3 = -3*o + 16. Let -6*q + 9 - o*q + 6*q**3 - 12*q**2 + 3*q**4 + 6*q = 0. What is q?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 630397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -3. Suppose g*s = -0*s. Let b = s - -15. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + 3*u**3 - 3*u**3)*(1 - 6 + 3) - 86*u**2 + 86*u**2 - 13*u**4 + 4 + 3*u.\nAnswer: -17*u**4 + 3*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y*y*y**(2\/7)*y)*y)\/y*y**(-11))**1 assuming y is positive.\nAnswer: y**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 396 and 8.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -708*c**3*y**5 + c**3*y**2 - 34731*c**3*y - 54*c**2*y**3 wrt y?\nAnswer: -42480*c**3*y**2 - 324*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 14*d + 92 = 36*d - 49*d, 4*r + 0*r - 3*d = 101 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 16*t - 3. List the prime factors of s(3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-1)))**(2\/43)\/(n\/(n*n**(-3\/4))*n**(2\/9)) assuming n is positive.\nAnswer: n**(-1577\/1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-20)\/(-48))\/(-1)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 3*i**2 - 2*i - 5. Suppose 55 = 10*h - 21*h. List the prime factors of y(h).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -122804.0664 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 732937904 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88074.\nAnswer: 2, 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 3*s**2 - 11*s - 2. Let h be q(-5). Which is the smallest value? (a) -2 (b) h (c) 4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-24)*s**(-6\/17)\/s)\/((s*s\/(s*s**(-2)))\/s*s**(1\/9)) assuming s is positive.\nAnswer: s**(-4202\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 35. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**3 + 5. Let j(p) = -5*p**3 + 3*p - 6. Let f(h) = 10*h**3 - 7*h + 12. Let q(m) = -3*f(m) - 7*j(m). Determine -5*q(a) + 6*u(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Factor 4*i**4 - i**3 - 2*i**5 - 3*i**4 - i**2 + u*i**5.\nAnswer: i**2*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -646 - -809. 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 one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - j = 13*n - 41, -25 = -5*n + 4*j. Let q = 116 - 81. Calculate the remainder when q is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -8*h. Let s(d) = -86*d - 1. Let g(m) = -311*m - 7. Let z(n) = g(n) - 6*s(n). Calculate z(t(u)).\nAnswer: -1640*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(3 - 2) - 2 - -2. Suppose h - 87 = -4*q - n*q, 2*h = -2*q + 48. What is the derivative of t - q + 0*t - 3*t wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m - 18. Let y be i(9). What is the tens digit of y\/((-36)\/(-8) - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*b = -7, 2*r - b = -21 + 26 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + p + 4)*((-4*p + 0*p + 3*p)*(4 - 4 - 1) - 30 + 30 + 6*p - p - 3 + 3) to t*p + g*p**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/6 + 10*u**3\/3 + 13*u**2\/6 - 19*u.\nAnswer: u*(u - 2)*(u + 3)*(u + 19)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1698568, -1698562, -1698556, -1698550, -1698544?\n\"Answer: 6*n - 1698574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**3 - 11*w**2 - 9*w - 12. Let g(x) = x**3 + x - 1. Let b(o) = -2*g(o) + h(o). Let f be b(12). Suppose -f - 7 = -c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -210, 1 in ascending order.\nAnswer: -210, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*d - n, 78573 = -5*d + 4*n + 78614 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 6, 0.1, -3\/4, 29 in increasing order.\nAnswer: -3\/4, 0.1, 6, 29, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**3 + 6*g**2 - 7*g + 1. Let a(i) = i**3 - i**2 + i. Let u(k) = -6*a(k) - v(k). Let c(q) = q**3 + q - 1. Calculate 3*c(y) - 3*u(y).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29487 or -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let f(q) = 2*q**2 - 9. Give f(x) - 2*y(x).\nAnswer: 2*x**2 - 2*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7726361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12783*m = -12742*m - 697 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1055 divided by -272.\nAnswer: -1055\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 6947.\nAnswer: 145887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9959541143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 5*h**3 - h**4 + 8 + h - 9 in the form z*h**2 + v*h**3 + d*h**4 + n + l*h and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-2)\/5)\/((-1488)\/6200))\/((-5)\/(-34)). Factor -2\/3*v**2 + j*v - 32\/3.\nAnswer: -2*(v - 16)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*o + 689*o = 25312 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-2\/3)*h*h)\/h*h)\/h)**3)**(-2) assuming h is positive.\nAnswer: h**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 4374384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -22ab?\nAnswer: -22b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5381 + 0.0381. What is the closest to -1\/3 in -6, -2\/5, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + t**2 + t + 1. Let u(y) = 273*y**3 + 2*y**2 + 2*y + 2. Determine 2*p(k) - u(k).\nAnswer: -275*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6 = -0, 2*u - 4*r = 41696. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-6)\/4)*(-6)\/(-66). Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9 times 0.1?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1179 + 12921\/11. What is the common denominator of (-42)\/35 - (0 - -1) and b?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + j + 3. Let g(x) = 15*x**2 + 5*x + 16. Suppose -3*i = -10 + 16. Let n(m) = i*g(m) + 11*l(m). Let c be n(2). Solve 0 = -4*p - p + c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -12*u**5\/5 + 768*u**4\/5 + 15009*u**3\/5 + 27867*u**2\/5 + 16998*u\/5 + 672 = 0.\nAnswer: -14, -1, -1\/2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 = -0, 0 = 2*s + 2*a - 134. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-9) + (-34)\/(-3). Suppose 4*q - 12 = 4*l, -3*l - 2*q = -6*q + f. Solve 5*a - 2*c - 10 = l, 4*a = a + 5*c + 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -201274, -201272, -201268, -201262, -201254, -201244, -201232?\n\"Answer: n**2 - n - 201274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 20*t**5 + 49*t**2 + 33*t**2 - 20*t**4 - 5*t**4 - 27*t**2 - 59 + 115*t - 135*t**3 + 29 = 0.\nAnswer: -2, -1, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5742 and 3132?\nAnswer: 34452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.57 + 7.57. Which is the closest to -1? (a) x (b) 4 (c) -1\/4 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 19*g**3 - 53264 + 53264 - 3*g**2 in the form n*g + i + o*g**4 + f*g**3 + d*g**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 3521 = 719. Let l = 649 - c. Is 26 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940203 is divided by 470100.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*n = -40, -2*r + 16 = -0*r - 3*n. Let v be r - 2*(1 + 0). Let w(z) = -z + 6. Let h be w(v). Solve h = -2*g - g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3256 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 94*s**2 + 6*s. Let p(i) = -770*i**2 - 49*i. Let o(z) = 49*j(z) + 6*p(z). Let u(n) = 264*n**2. Calculate o(u(m)).\nAnswer: -975744*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -0.3, -1144 in decreasing order.\nAnswer: -0.3, -0.7, -1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 - 8*n + 8*n + 21*n**2 - 5*n in the form j + p*n**2 + a*n and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 7*t**2 - 5*t + 10. Give q(-9).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.2019 + 0.2019. What is the closest to 135 in -0.4, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 1382 = 1414. Let m(v) = -4*v + 1 - 4 - 1 + v**2 + 0 + 5*v**3. Let t(q) = -14*q**3 - 3*q**2 + 11*q + 11. Give g*t(u) + 11*m(u).\nAnswer: -u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {n: 4, l: 5, m: 2, h: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -178*f. Let m(o) = -5*o**2. Give u(m(q)).\nAnswer: 890*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 1680.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7611, 15271, 22931, 30591, 38251, 45911?\n\"Answer: 7660*x - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 + 2*z + 5*z + 10*z + 9*z - 27*z.\nAnswer: -z - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4\/7*u - 2\/7*u**4 + 4\/7*u**3 + 2\/7*u**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 6*j - 5. Let p = j - 14\/3. What is the third smallest value in p, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13297*i**4 + 20*i**3 - 7*i**2 + 5*i - 2718 wrt i?\nAnswer: 319128*i + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -201 + -545?\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*u, -3*s + 2*s = 5*u. Suppose 10*c - 12*c + 1070 = u. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11008570, 11008569, 11008568, 11008567, 11008566?\n\"Answer: -n + 11008571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (2 - (3 - -2)) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7*4\/(-42)). Suppose 3*n = -r + 12. Let w(t) = n*t + 0 - 2*t + 2 + 7*t + t**2. Determine w(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/30)\/((156\/(-26))\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o**(-2\/7))**(-36)*o**6*o**(1\/5)*o*o*(o**2*o*o)\/(o\/(o*o**7)) assuming o is positive.\nAnswer: o**(-228\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3830931112 + -3830930315.0004086. Let x = m - 797. What is x rounded to five dps?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712621926?\nAnswer: 2, 856310963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.4 (b) -1\/3 (c) 1\/5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*l*p**5 + 2*l*p + 4*p**6 + 36*p**2 wrt p.\nAnswer: -360*l*p**2 + 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 0 - 8\/(-4). Let a(g) = g**3 - 4*g**2 + 2*g + 3. Let z be a(w). Suppose z*y = -3*y + 54. What is the remainder when 53 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 477000, 477483, 478286, 479409, 480852, 482615?\n\"Answer: 160*y**2 + 3*y + 476837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 3) + 0 + 3. Does 2 divide (-1)\/((-2)\/(-20)*t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**2. Let d(c) be the third derivative of -c**7\/1680 - c**5\/60 - 4*c**2. Let g(v) be the third derivative of d(v). What is n(g(m))?\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 57 = 2*f, x - 8 - 95 = -3*f. Suppose 36*y - 33*y = f. What is the remainder when (7\/((-35)\/(-710)))\/2 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -21*w**2 - 2*w - 1. Determine q(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8329*g - 206*g**2 + 24995*g - 8330*g + 42*g**2 - 8336*g.\nAnswer: -164*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7723\/17010 + 2\/1215. Let s be 2 + (-381)\/63 - (-12)\/3. Let a = t + s. Which is smaller: 0.2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5255 - 1.498866. Round z to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -7*h + 2*h. Suppose -1 = -3*d - 4. Let l be (-2)\/4*(-6 - -4). Sort l, h, d in ascending order.\nAnswer: h, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000732862 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17618 times -563\nAnswer: -9918934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 8:05 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*o**2 - 420*o - 945*o**2 - 1762*o + 472*o**2.\nAnswer: -4*o**2 - 2182*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*y - d + 142 = 93*y, -5*y - 5*d = -210. Solve y*x = 21*x + 27*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**2*s**2 + 126*q**2 + 21*q*s**2 + 12*q*s + q + 7*s**2 wrt q.\nAnswer: 2*s**2 + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 32*p + 5*m - 172585 = 0, 0 = p - m + 24653. Which is bigger: p or -24661?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*k**2 - 3 - 15\/4*k.\nAnswer: -3*(k + 1)*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1640392*b**2*o**3*s**3 + b**2*o**2*s**3 - b**2*o*s**3 - 23*b**2*o*s**2 + 2*b**2 - 2*b*o**3*s**3 + b*o - 153*s**3 - 2*s wrt o.\nAnswer: 9842352*b**2*s**3 - 12*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 35*n**2 - 79*n - 425. Let d be i(-33). Solve 5*j + 4*z + 25 = -15, -3*j - 32 = d*z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/45, 7, -11 in decreasing order.\nAnswer: 7, 2\/45, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47628 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 - 2*x - 10*x**2 + 10*x**2 - 2*x + 3 to the form o + w*x + m*x**2 + d*x**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51675*z**2 - 12340*z**2 - 28560*z**2.\nAnswer: -92575*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6 + s**2 - 1 - 8*s + 1 + 0*s**2. Let o be q(9). Let d = o + 2. Solve -d*f + 16 + 9 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8702?\nAnswer: 2, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 14*c**3. Let n(a) = -a**3 + 2*a**3 - 6*a**3. Suppose 1 + 1 = -3*v + 4*r, 3*v - 5*r - 2 = 0. What is v*h(k) - 17*n(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*k + 106*k - 246. Suppose 1801 = k*r + 202. Let d(v) = 66*v - 1. Let j be d(1). What is the highest common divisor of j and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = -n, 7*n - 5*n + 4*g = 8. List the prime factors of n\/(24\/9376*(-2)\/3).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 8:32 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -79\/5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -287973.407 and 0.3.\nAnswer: -86392.0221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5285 is divided by 1755?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67632 (base 8) to base 3.\nAnswer: 1110012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = 14*x - 52. Is 4636\/52 - (-8)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 + -0.8. Let t = -0.42 + g. Let k = t + -0.12. Which is the third biggest value? (a) -0.1 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pffppffffpppppmfffp. Give prob of picking 1 f, 2 p, and 1 m.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - (37 - (7 - -39 - 6))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 817856.5 - 0.12107.\nAnswer: 817856.37893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 116\/(-3)*147\/(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 4, -1\/114 in descending order.\nAnswer: 4, 0, -1\/114, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 1014.144.\nAnswer: -28396.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 3*w**2 + 2*w + 2. Let c be k(4). Let r be (c\/15)\/(1\/(-5)). Calculate the highest common factor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 8*q = 1632. Suppose -4*c + 4103 = 3*a, -3*c - 2611 = -2*a + q. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8994 + 9378. Is j <= 384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19234\/357 + -1145\/17. Let i = 99\/7 + z. Factor -1\/3*n**2 + 0 + i*n.\nAnswer: -n*(n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 52864*q + 174662656.\nAnswer: 4*(q + 6608)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(1 + -5*(-2 + sqrt(272)) + 2)*-5)**2.\nAnswer: -26133750 + 1950000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5)*r**(-3\/2)*r*(r**0)**(-9))**(5\/14) assuming r is positive.\nAnswer: r**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 49 = 3*b, 3*b = 4*b + 2*m - 17. Suppose 18*w = b*w. Let t be (-2 + 0 + 1)*2. Sort t, 3, w in increasing order.\nAnswer: t, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/m)**(5\/2)\/(m**(2\/17)\/m**(1\/8))*(m**1*m)**(19\/5)\/(m\/(m*m**(-6)*m*m*m)*(m\/((m\/(m*m**(2\/9))*m)\/m))\/m) assuming m is positive.\nAnswer: m**(11537\/6120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19851\/11 + 1803. Let x = 596\/1133 + 2\/103. What is the common denominator of x and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13331 + 21839 = -487*m + 1425 + 1603 for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 237463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 620\/6*(-17)\/(-884)*-26*(-6)\/10\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196*j + 565*j = -597*j - 918 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -550000 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1596 is divided by 51?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 3 = 4*m + 11*s, 5*m + s - 12 = 0. Solve 5*t = 20, -5*t - 1 = -m*h - 18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmmarcccccmrcc. Give prob of sequence mcc.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 133*p - 758. Determine b(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48129 by 157.\nAnswer: -48129\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4 + -1.6. Let f = 0.4 + -0.5. What is the nearest to f in 2\/11, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 2252*f - 292125.\nAnswer: (f - 2375)*(f + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-58)*(-5771)\/398.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6*x = -4767. Suppose 5*u - 4*s - x = 0, 7*s - 4*s = -3*u + 387. Let j = u + -92. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (382 - 417) + (7 + -1 + (2 - -3) - 3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 204 + 254 = v, 2*b = v + 186. Let k = b + 0. Let w = 271 - k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(108)*5 + -1 + 4 + -6*(sqrt(108)*5 - sqrt(108)))**2.\nAnswer: -684*sqrt(3) + 38997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*k + 129 + 13 + 100 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -w - 3*y, 5*y - 6*y = 0. Is w > -5\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 1362*b - 143964.\nAnswer: 2*(b - 774)*(b + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 - 51. Suppose 2*c - t = -5*f, -5*c + 2*f = 7*f - 45. What is the third derivative of -8*s**4 + 20*s**4 - 2*s**2 - c*s**4 wrt s?\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-88)\/836 + (-402939)\/(-57) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8 - 36876*f + 18189*f + 4*f**3 - 3 + 18416*f - 1759*f**2 wrt f.\nAnswer: 24*f - 3518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**3\/6 + 22*w. Let n(c) = -2*c**3 + 4*c. Let d(l) = -4*i(l) - n(l). Determine z, given that d(z) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/7 + 211084*w**2\/7 + 2533226*w\/7 + 1055540 = 0.\nAnswer: -7, -5, 105554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5566 is divided by 1113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8279593 and 2882?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 35. Let v = 32 - b. Suppose 122 = 3*g - 148. What is the greatest common divisor of g and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zza when three letters picked without replacement from {a: 1, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-1)\/1 - -10. Let c = 13 - s. Does 17 divide (68\/12)\/(c\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 2, -14\/31, 5, -21 in decreasing order.\nAnswer: 5, 2, 0.01, -14\/31, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c. Let j be h(3). Suppose -5*w - y + 100 = 0, 2*y + 0*y = 0. What is the greatest common factor of w and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 690*1\/(20\/(-8)). Let l = 129 - w. Suppose a - 3*f - l = -a, f - 591 = -3*a. What is the highest common divisor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + 100*c**2 + 24431*c - 1201927. Determine u(49).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -1, -11773, 9 in descending order.\nAnswer: 9, -1, -113, -11773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 7*b + 6. Let u be t(-6). Let w = -75009\/5816 - -16\/727. Let d = w + 13. What is the second smallest value in d, u, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -41.61 and 0.35.\nAnswer: -41.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142489 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) -2\/7 (b) 4 (c) 49 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -374, -956, -1924, -3272, -4994, -7084, -9536, -12344?\n\"Answer: s**3 - 199*s**2 + 8*s - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100 + -1934?\nAnswer: -1834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-9)\/((l\/l**(2\/19))\/l*l))**(-44))**(-4) assuming l is positive.\nAnswer: l**(-33088\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -10. Let t be 16\/24 + (-20)\/m. Let i be (1 - 1) + (6 - t) + -1. Solve -2*y + 7*y = 2*g - 13, 0 = y - 2*g + i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5875)\/(-20) + (-2)\/(-8). Let d = 1997 - -3090. Let l = v + d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111095 is divided by 780?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**5 + 2*c**5 - 2*c**5)*((9 + 8 - 6)*((-1 + 0 + 3)*(3 - 2 + 0) - 3 + 8 - 2) - 2 - 2 + 9).\nAnswer: 60*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4399\/1758 + -2\/879. Let r(j) be the first derivative of 5\/6*j**3 - 8 - 15\/2*j + f*j**2. What is x in r(x) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 722400 and 1935?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 q when two letters picked without replacement from qxhtxmt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.86599 times -0.12?\nAnswer: -18.2239188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 5)*(-2*u + 3*u - 6*u) in the form i + o*u and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 24*x + 47 - 100. Sort -2, -5, 3, -4, x in decreasing order.\nAnswer: 3, x, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-7))\/(3\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0549*-0.2\nAnswer: -0.01098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/150 and 53\/27.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 413, 622, 833?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 + 3*a + 2. Let l be (1\/(-2))\/(1\/4). What are the prime factors of h(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 560*c**3 + 2*c**2 + 3*c. Let x(w) = -564*w**3 - 3*w**2 - 4*w. Calculate -3*x(f) - 4*z(f).\nAnswer: -548*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 2. Suppose -3*i + 1 = 7. Let a(z) = 9*z**2 - 3*z + 9. Let l(x) = -4*x**2 + x - 4. Let r(p) = -6*a(p) - 14*l(p). Let h be r(i). Give q(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -326?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1612 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -162390.21 rounded to the nearest one hundred?\nAnswer: -162400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2175*t**5 - 532*t**4 + 551303*t**2?\nAnswer: -130500*t**2 - 12768*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17085 - -17170. Calculate the remainder when 108\/(9\/(-11) - -1) is divided by x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5856)\/(-158112) + (-2)\/((-54)\/377).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 - ((-1459 - -1425) + (-2 - -115))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 308597587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*i - 126*i + 61*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 710 and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3895\/(-38)*114\/(-5). Let b = -1018 + d. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1222 = 4*j + 808, -2*y + 1020 = -2*j. Let r be j\/(-5) + (-12)\/(-30). Suppose a - 246 + 88 = -3*m, 4*a = -2*m + r. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -22*m**4 + 118*m**3 + 20*m**2 + 15217. Let n(i) = 11*i**4 - 59*i**3 - 12*i**2 - 7607. Let h(y) = -3*k(y) - 5*n(y). Differentiate h(t) wrt t.\nAnswer: 44*t**3 - 177*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 - 46 = 2*a. Suppose -5*u - 2*d + 552 = 0, 3*u - 3*d - 348 = -0*u. Let v = a - u. Solve v*p - 5*g - 5 = 7, -3*p - 2*g - 20 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/56)\/(-30) - (48\/7 + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 4 - 4)*(-x + 0*x + 2*x) + (-2*x + 0*x + 0*x)*(4 - 3 + 3))*(3 - 18*x + 0 + 16*x) to v*x**2 + n*x + o and give n.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1811, -1909, -2185, -2729, -3631, -4981?\nAnswer: -6869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 12*w**2 - 13*w + 20. Let o be c(11). Let n be (0 - (1 + o)) + -1 + 20. Solve -7*h = -2*h + n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 245*b**2 - 11*b - 41. Is u(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57000 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2389920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3043204 (base 6) in base 10?\nAnswer: -145876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from yyysyss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 5*t**2 - 4*t + 4. Let u be m(-4). Let w = 3 - u. List the prime factors of w\/((-1)\/17) - -2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 7*s. Let q be a(-5). Solve -h + q = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/3 + 213976*k\/3 - 11446432144\/3 = 0. What is k?\nAnswer: 106988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9\/51*(-24)\/(-36)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + -2 + sqrt(833) + 0 - ((sqrt(272) - (sqrt(272) + -1)) + 1 - sqrt(272)))*3)**2 + 3.\nAnswer: -1296*sqrt(17) + 49719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3156 + 4108 = 34*g for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 4457*r + 40029. Calculate l(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774647 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - a - 1. Let i(s) = -6*s**2 - 3*s - 3. Suppose -2*g - 1 = -b + 2*g, -2*g - 11 = 3*b. Give b*x(m) + i(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*q + 2 + 1 = 0, -c - 2*q = -5. Let d be (-10)\/16*2*(-3 - c). Let l be -2*d*(3 - (-51)\/(-15)). Solve 12 = -3*v + 5*t, -3*t + 4*t - l = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1144710)\/1050*(1 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -351451.7909 rounded to the nearest 10000?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-9)))\/((l\/(l\/(l\/l**(2\/5))))\/l))\/(l**(-10)\/l**(1\/25)) assuming l is positive.\nAnswer: l**(486\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q + 2*q - q - 4*q. Let n(j) = 3*j**2. Calculate p(n(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1034*b + 666 = 16657 + 9859 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m**4 - 139*m**3 + 4150*m**2 + 128*m - 4052. Let z(o) = o**4 + o**3 - 5*o**2 - 4. Let f(t) = -4*i(t) - 44*z(t). Determine r so that f(r) = 0.\nAnswer: -1, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*u = -426 + 461, 2*u = 2*o - 20. Solve -5*c - 50 = 2*a - 60, 5*c + 3*a = o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (0 + 4)*526\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.98 + -0.02. Let w = i + 1.1. Put 4, w, 1\/2 in increasing order.\nAnswer: w, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5745, -0.2, 41, 12 in descending order.\nAnswer: 41, 12, -0.2, -5745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1063573033 to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 6*g + 10. Let l be d(4). Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*u, -2*u - 9 = -13. Sort -2, 54, f.\nAnswer: -2, f, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-1))*d)\/d**2)\/((d**(2\/13)*d*d)\/(d*d\/(d*d*d**3)*d*d*d*d))*(d**(1\/3)\/d)**(-1\/43)\/(d**2)**(-13) assuming d is positive.\nAnswer: d**(41693\/1677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 42*j - 268. Give f(10).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a day in minutes?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 975834?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 7*i**2 - 2*i - 10. Let w be c(-7). Suppose -w*t + 4*g = -24, 2*g - 2 - 14 = -5*t. Differentiate t - 6 - 5*j + 4*j with respect to j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**4 + 106*p**3 + 3716*p + 43230120 wrt p.\nAnswer: 12*p**3 + 318*p**2 + 3716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 545 - 6*w**4 - 34*w**3 - 1142 - 33*w**3 with respect to w.\nAnswer: -24*w**3 - 201*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 10*u + 9. Determine y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26858, -103141, -230294, -408329, -637258, -917093, -1247846?\n\"Answer: -2*l**3 - 25423*l**2 - 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {l: 2, i: 1, s: 3, c: 4, o: 3, y: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4523 minus 0.2?\nAnswer: -4523.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2885 is divided by 195?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -9*k**4 - 1977*k**3 + 6687*k**2 - 687*k - 4014 = 0.\nAnswer: -223, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1377469228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 n when three letters picked without replacement from {j: 1, n: 4, h: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -221*m - 7*m + 401*m + 464*m as a*m + g and give a.\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 33*x**2 - 40*x + 17. Let f(w) = 17*w**2 - 20*w + 8. Let k(z) = -4*d(z) + 9*f(z). Factor k(n).\nAnswer: (3*n - 2)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {g: 1, r: 3, w: 5, v: 1, b: 1, q: 2}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o + 91. Let f(i) = 8*i + 91. Determine 6*f(g) - 5*k(g).\nAnswer: -2*g + 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -596*g + 123*g**5 + 47*g**5 + 159*g**5 wrt g.\nAnswer: 6580*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**3 - 9*t**2 - 81*t + 41. Let j(k) = k**3 - k**2 + 3*k - 1. Let i(m) = 6*j(m) + z(m). What is the hundreds digit of i(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25147 to the nearest one hundred.\nAnswer: 25100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39, -79, -141, -225, -331?\n\"Answer: -11*r**2 - 7*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**9\/36 - 3*o**5\/20 - 21*o**2. Find the third derivative of r(u) wrt u.\nAnswer: 1680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 20*x**2 + 479*x - 32. Determine d(-24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 6) in base 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w. Let l(c) = -21*c - 6. Let m(q) = 988*q + 285. Let y(g) = 190*l(g) + 4*m(g). Give z(y(x)).\nAnswer: 152*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*q + 1578*q - 5958 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/50869 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.455 - -0.255. Suppose -5*x + 3 = -2*q + 12, 0 = -2*q - 6. Which is the third smallest value? (a) x (b) k (c) 2 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/4)*q*q)**(-5)\/((((q*q*q\/q**14*q)\/q*q*q)\/q)\/(q\/(q\/(q\/q**(-5)*q*q))*q)) assuming q is positive.\nAnswer: q**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4006 at least as big as -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1102120 and 12744.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/5 - 9607936*h\/5 - 9607938\/5 = 0.\nAnswer: -1, 4803969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 7)*(8*a + 6*a**2 - 31*a - 5*a**2)*(-11 - 9 + 3) as m*a + w + v*a**2 and give v.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.16503 litres to millilitres.\nAnswer: 91165.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0*m**5 - 102*m**2 + 0*m + 0*m**6 + 101\/6*m**3 + 0*m**4 + 0 - 71\/210*m**7. What is the first derivative of u(b) wrt b?\nAnswer: -284*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 19929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d**2*f**3 - 156*d**2*f**2 + 64*d**2 + 3*d wrt f.\nAnswer: 9*d**2*f**2 - 312*d**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - p - 4 + 2*p. Let t be (1 - 22\/2)*-1. Suppose x - t = -3*n - x, -5*x = -n - 25. Determine f(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12005642+1035\nAnswer: 1035.12005642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, 20, 348, 1028, 2168, 3876, 6260, 9428?\nAnswer: 13488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 19*z + 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n + 750 = 21*n + 45*n for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h**3 + 12*h**2 - 1512*h + 17. Let q(x) = 13*x**3 + 20*x**2 - 2267*x + 27. Calculate 5*q(u) - 8*s(u).\nAnswer: u**3 + 4*u**2 + 761*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 88\/3. What is the closest to 1 in 1, u, -2\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1333 (b) -1\/23 (c) 0.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8f19 (base 16) to base 9\nAnswer: -55223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4702 = 5*h, -3*h - 3*x + 242 = -2584. Is 940 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**4*u**2 + 37*j**4*u - j**2*u + 11*j*u**2 - 2*u**2 wrt j?\nAnswer: 48*j*u**2 + 888*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.3, -0.03872834, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11604 + 65804 = 5*m + b, -4*m = -5*b - 61909. Let p = 92597\/6 - m. Let g = -48 - p. Which is bigger: g or -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from uwuxdnwxwsxwdwuwwww?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8028 and 5280417?\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52129 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 o(j) = 9*j**3 - 98*j**2 - 3*j - 2. Let r(p) = -9*p**3 + 96*p**2 + 4*p + 3. Let x(w) = 4*o(w) + 3*r(w). Find the third derivative of x(b) wrt b.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 24*q = 28*q - 36, 0 = 3*g + 2*q - 22. Calculate the highest common divisor of g and 2724.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 3*q + 3. Let r(w) be the first derivative of 2*w**3\/3 + 5*w**2\/2 - 5*w - 2. What is 3*r(u) + 5*t(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-3*(-1)\/3). Let l(o) = 2*o + 1810. Let z be l(d). What is z rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16485798 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x = -16*x + 106980. What are the prime factors of x?\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111101010101 (base 2) in base 11?\nAnswer: 17377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0. Let i = -14.193 - -14. Let b = -0.307 + i. Sort -2\/21, b, p in increasing order.\nAnswer: b, p, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 4:09 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 30. Solve 5*z = -r + w, -6 + 2 = z + 3*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19118.63878855 + -18580.638805. Let w = -538 + s. Round w to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 20 + 65. Suppose 0 = -4*d + 43 + j. Let u(t) = 11*t + 7 - d*t + 5 - 5. Determine u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 2, l: 1, u: 1, c: 2, t: 1}. Give prob of picking 1 l and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14c28 (base 13) in base 12?\nAnswer: -1a983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6319 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -12666427?\nAnswer: 12666423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 2*c**3\/3 + 4*c**2 + 65*c. What is y(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 369188 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by 4.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2 + (sqrt(68) - 2*sqrt(68)) - sqrt(68)) + sqrt(153)\/(sqrt(63)\/(sqrt(7)*1)))*2.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9030436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 58.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 + 5*h**2 - 3*h - 4. Is 14 a factor of j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 75 - f**2 - 2*f + 5\/3*f**3. Let u(d) = -19*d - 3 + 36*d**2 + 4*d - 12. Calculate -15*k(z) + 2*u(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 252*y. Let d(k) = 442*k. Calculate s(d(q)).\nAnswer: -390728*q**2 - 111384*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 11 - 3. What is the second biggest value in -3\/5, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llmmell. Give prob of sequence mmll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-42)*74\/(-148).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = u. What is the third derivative of -s**6 + 12*s**3 - u*s**3 - s**2 wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32456 - -17?\nAnswer: -32437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -46*g + 18 - 11*g**2 - 26 - 6*g + 34*g**2. Let d(c) = -24*c**2 + 51*c + 9. Let n(w) = 4*d(w) + 3*p(w). Factor n(m).\nAnswer: -3*(m - 2)*(9*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 1737\/5, -2, 0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2736) + 1 - (2 + 1 + sqrt(2736) + sqrt(2736)) - (1 + sqrt(2736))*-2*2)**2.\nAnswer: 72*sqrt(19) + 24625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2541 + -6?\nAnswer: -2547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3503789, 7007580, 10511371, 14015162, 17518953, 21022744?\nAnswer: 24526535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-4))\/q**7*(q\/q**(-1\/4))**(-18\/7)*(q**1\/q)**(8\/7)\/(q\/(q**(-1\/8)\/q)*q*(q*(q\/(q*q*(q\/q**(-2\/17)*q)\/q))\/q)\/q) assuming q is positive.\nAnswer: q**(-4971\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**15*r)*(r*r**(-3))\/r*(r*r**(-2\/13))**(-41))**(1\/40) assuming r is positive.\nAnswer: r**(-137\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 166.43 = -9.96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*p**3 + 13*p**2 - 3 + 25*p**2 + 37*p**3 + 4 in the form t*p**3 + c*p + z*p**2 + q and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 502*q*v**3*w + 2*q*v**3 - 5*q*v**2*w - q*v**2 + 210*q*v - 16*v**3*w - 39*v**3 - 13*v**2*w - 12*v**2 wrt v?\nAnswer: 3012*q*w + 12*q - 96*w - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 110*p**2 + 196*p + 11. What is the units digit of f(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4840)*2*2 - sqrt(4840) - sqrt(4840))\/(((sqrt(392) + -2*sqrt(392) - sqrt(8) - sqrt(8)) + sqrt(8))*2).\nAnswer: -11*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-3))\/((-2)\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2658, 3044, 3428, 3810?\n\"Answer: -v**2 + 389*v + 2270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 73170\nAnswer: -36585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -142. What are the prime factors of 32\/(-8) + 3 + u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -2\/15*t**3 + 0 - 8*t + 0*t**2 + 1\/60*t**4. Solve q(n) = 0 for n.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -5)*(-4)\/(-7). Suppose x*p - 4*l - 2 = 2*p, 3*l - 15 = 0. Solve t + 3*z - p = 3*t, 0 = -4*t + 2*z - 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96650 rounded to the nearest 1000?\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 208\/20 - (-4)\/(-10). Let j = 25 - z. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - 64. What is the remainder when 11 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let l(k) = 2*k + 1. Let z be -4*5\/(-10) - -9. Let q(f) = z*u(f) - 6*l(f). Calculate q(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**5\/24 - y**4\/6 + 2*y**3\/3 - 6*y. Let g(r) be the second derivative of z(r). Differentiate g(b) wrt b.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(24\/108)\/((-1)\/(-48)). List the prime factors of z*(4 - 21\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34600210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -4, -1\/5, -2 in decreasing order.\nAnswer: -1\/5, -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 + 39 = 5*u. Suppose u = 5*j + k, 31 + 24 = 4*j + k. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (39 + 50 + 69)*(-2*p**2 + 8*p**2 - 2*p**2 + (3*p**2 + p**2 - p**2)*(1 + 0 + 0) - 9 + 3*p - 2*p**2 + 21 - 11) as h*p**2 + r + t*p and give r.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-1)\/(-1) + -3. Let l = -6433 - -6434. Sort f, l, 2.\nAnswer: f, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4424, 4953, 5600, 6173, 6480?\n\"Answer: -32*p**3 + 251*p**2 + 4205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 10:30 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660933453.\nAnswer: 3, 1259, 174989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*s = 35, -s + 2*s - 95 = -3*y. Suppose 4*z = 2*l - 26, -5*l + 5 + y = -4*z. Is (-243)\/z - (-2)\/5 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/32)\/(3\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -3 (c) -3\/11 (d) -1\/2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 3*o**2\/2 - 40*o - 8. Let j be u(14). Suppose j*h - 1 = 3. Solve -h*r + 5 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 - 49 - ((2 - 2) + -5 + 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3*(sqrt(34) - (sqrt(136) - -1*sqrt(136))))\/((sqrt(8) + sqrt(64)\/(2*sqrt(8)))\/sqrt(4)))**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -20. Suppose -n*i + l = i + 31, 0 = l - 3. Let k(f) = -f**3 - 7*f**2 + f + 1. Let w be k(i). Let y(j) = -j**3 - 5*j**2 + 6*j + 9. Calculate y(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 307 and 7058\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 722 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - ((3 - 1) + 8)) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 1. Let x(g) = 13*g**3 - 2*g**2 + 2*g + 4. Let p(w) = -25*w**3 + 5*w**2 - 5*w - 9. Let a(c) = -2*p(c) - 5*x(c). What is -a(z) - 2*f(z)?\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 5) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23281 - -25618. Solve -p*x + 2341*x = 32 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 791797088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8949 and 411183?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 8*x**2 - 2*x + 9. Let m = -302 + 310. What is q(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7763 - -15523\/2. Let f = 0.4 + -0.3. Sort -0.1, k, 0.5, f in ascending order.\nAnswer: k, -0.1, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -2 (c) 8 (d) 165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 298 = -43*o, 2*r - 4*r + 2*r - r = 5*o + 34 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.708 - 85319.\nAnswer: -85313.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 + 173*u + 48. What is y(-20)?\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -23*d**2 - 7*d - 20. Let l(n) = 2*n**2 + n - 1. Determine a(o) + 2*l(o).\nAnswer: -19*o**2 - 5*o - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**3 - 3*u**2 - 16*u - 1. Let r(t) = 3*t**3 + 4*t**2 + 18*t + 1. Give 4*h(m) + 3*r(m).\nAnswer: -7*m**3 - 10*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/232 and -17\/96.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-22) + 3326848\/2464. Which is bigger: o or 1351?\nAnswer: 1351","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/5 - 318*b**2\/5 - 1008*b.\nAnswer: 3*b*(b - 120)*(b + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + s - 1. Let l(j) = -2*j**2 - 4*j + 4. Let a(k) = -l(k) - 3*m(k). Calculate a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 0.3, -2, 25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/9774072 and -151\/22704.\nAnswer: 19548144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 10:19 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + 2.35. Let u = -0.95 + i. Let z(l) = -l**2 - 5*l + 1. Let x be z(-6). Which is the second smallest value? (a) u (b) -1\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/sqrt(24) + -1*sqrt(57)\/sqrt(3).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2737, -4863, -6987, -9109, -11229, -13347, -15463?\n\"Answer: r**2 - 2129*r - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*b - 5948 = 0, -206*b = -3*r - 209*b + 3576. Calculate the remainder when r is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 21. Let s be m(2). Which is the closest to 0.1? (a) -2 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/5 + 212*n**3\/5 + 8424*n**2\/5 + 148716*n\/5 + 196830 = 0 for n.\nAnswer: -27, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 794596.8um to nanometers.\nAnswer: 794596800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472715, -945436, -1418169, -1890920, -2363695, -2836500?\nAnswer: -3309341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/((-39)\/(-26)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (70\/8)\/(-7)*3\/(-15)*2. Factor -j**2 + 0 + p*j**4 + 0*j + 1\/2*j**3.\nAnswer: j**2*(j - 1)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1122 or -1129?\nAnswer: -1122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 399 - 98. Suppose -13 + o = 3*i. Let f = -36 + i. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*p + 124. Let c be (p\/9)\/(3\/(-9)). Suppose -2*b + c*b + 60 = 5*k, 4*k - 30 = -5*b. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + -2 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 6*r**5 + 9*r**4 - 1173*r**3 + 3636*r**2 + 2112*r = 0?\nAnswer: -16, -1\/2, 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7034742.\nAnswer: 2, 3, 11, 13, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110011110 + 0?\nAnswer: -1001110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 52*y + 86. What is c(-50)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) + 1)) + -3 + (sqrt(128) - (-3*sqrt(128) + 4)))**2.\nAnswer: -512*sqrt(2) + 2112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.4172 + 13.44. What is the second biggest value in -2\/13, -5, m?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7072692349209 from 4.\nAnswer: 7072692349213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 3. Let c be n(3). Suppose g - p + c*p = 5199997, -4*g - p + 20800013 = 0. Let w be ((-3)\/3 - g) + 3. Round w to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -10\/97 (c) -0.06 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0238988 - -0.024. Round i to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7310 by 1462.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/15)\/(1\/(-3)). Suppose 17 = 4*y + 3*r, -2*y + l*r = -r - 13. Suppose -5*v - y*z = 74 - 244, -181 = -4*v + 5*z. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 11. What is the tens digit of n(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 + 17 = 39*h - 22 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z - 8. Let g be b(2). Suppose 5*d - 4*d + 15 = 5*s, g*s - 18 = 2*d. Suppose -3*x + s*m + 452 = -0*x, m - 588 = -4*x. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 2*a - a**2 + 2*a. Let t(v) be the second derivative of 5*v**4\/12 + v. Determine t(z(w)).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 0 + 0 + (20*h**3 + 8*h**3 + 2*h**3)*(-5 + 5 + 11*h).\nAnswer: 329*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*m + 1047*m = 3440 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 21*b = -12. Suppose -64745 = 19*d - 64783. Solve b*h = d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 30*q**2 - 65*q + 38. Let u be y(32). Solve -3*v + r + 1 = 3, -u = -3*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732939 = -78*h + 513345. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9202 - -9227. Suppose -2*r + 783 + 817 = 0. What is the highest common factor of r and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6088 - 3.6. What is u rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6094)\/(-9141)*1233\/(-6).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (64\/(-10))\/(22\/10) and 49\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**5\/30 + 19*q**4\/24 + 3*q**2 - 7*q. Let l(w) be the first derivative of d(w). Is l(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -768*j**4\/7 + 148896*j**3\/7 + 3761181*j**2\/7 - 2421900*j - 82791072 = 0?\nAnswer: -273\/16, 12, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zze when three letters picked without replacement from {z: 5, e: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1121, 4293, 9511, 16775, 26085, 37441?\nAnswer: 50843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 600528 by -100088.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from {o: 3, l: 17}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-5)*g)*g\/(g*g**(1\/6))*((g*g**(-1\/7)*g)\/g)\/((g**9*g)\/g))**(17\/3) assuming g is positive.\nAnswer: g**(-2363\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21467, -45710, -69953, -94196?\n\"Answer: -24243*z + 2776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 427340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 + 80\/35 + 22. Let r be 128\/32 + -1 + j + 1. Suppose -232 = -17*n - r. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2240)*-1*2)\/(-6*((sqrt(63) + sqrt(63) + sqrt(63)*2)\/sqrt(3) + sqrt(21))\/sqrt(3)))**2*1.\nAnswer: 64\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -35, -1, 65, -0.18, 4?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6668 - 6672. Put -98, d, -5 in descending order.\nAnswer: d, -5, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 2, 3 in decreasing order.\nAnswer: 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**5\/10 + b**4\/6 + 3*b**3\/2 - b**2\/2 - 2*b. Let a be v(-7). Let z = -1340 + a. Round z to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, i: 1, a: 2, f: 1, e: 1, k: 1}. What is prob of picking 1 k, 1 a, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let o = 0.26 + -3.26. Which is the closest to i? (a) -0.3 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8150 - -8115. Sort -3, -4, 4, 2, g in increasing order.\nAnswer: g, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 62 + 8 = 0. Calculate the remainder when r is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4 = 1774*l - 1776*l, -5*l = -y + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w**2. Let r(t) = 1. Let g(y) = -7*y**2. Let c(n) = g(n) + 2*r(n). What is c(o(q))?\nAnswer: -343*q**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 549 and 344101?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 5. Let i be j(-5). Suppose 4*b = 4*c - 260, 0*b + 295 = i*c + b. Calculate the highest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248.78499 hours to days.\nAnswer: 10.36604125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 664\/216 - (-10)\/(-135). What is the third smallest value in -4, -0.4, -1, 5, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 127.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -599*i**2. Let k(z) = 48*z**2. Determine k(o(x)).\nAnswer: 17222448*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 4 + -9)\/1. Let v = 27 + -14. Let j = v + z. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4717 and 200072?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*o**3 + 0*o + 0*o**3 - 3*o + 4*o**2 = 0. Calculate o.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*u + 0 + 0 + 7*u to the form x + m*u and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 7\/192, -692?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8404, -16801, -25198?\n\"Answer: -8397*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**3\/7 - 40*t**2\/7 + 44*t\/7 + 40 = 0.\nAnswer: -2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34273128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1662, -3311, -4936, -6531, -8090, -9607?\n\"Answer: z**3 + 6*z**2 - 1674*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(156\/(-30))*(112\/50)\/7.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbuh when four letters picked without replacement from cchcbuuburhhhhhr?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z**3 - 6*z**2 - 3*z + 9. Give p(3).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12c - 1a4d3?\nAnswer: -1a5ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12097?\nAnswer: 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**3 + 4*q**2 - 4*q + 3. Let a = 21 + -19. What is t(a)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**3 + 1316125*i**2 + 86608592715*i - 86609908845 = 0.\nAnswer: -131613, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/8 of a micrometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2fa30 - 27?\nAnswer: -2fa57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2674.457 kilograms to grams.\nAnswer: 2674457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.14 - -1.16. Let j = 3.3 - a. Is j less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 728585, 728587, 728589, 728591?\n\"Answer: 2*d + 728583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.29 - -3.31. Let d = b - 3.288. Round d to 2 dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from {j: 7, x: 6, u: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*x + 57*x + 39*x + 79*x.\nAnswer: 145*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) - (-1*sqrt(1377) + -5 - sqrt(1377) - sqrt(1377))) + -4)*2 + 4)**2 + 5.\nAnswer: 864*sqrt(17) + 88169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u = 488. Suppose 263 = 5*g - 2*r - 0*r, -2*g = -5*r - u. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - m - 8. Suppose -2*f + m = -f. Put f, -4, -2 in increasing order.\nAnswer: -4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x + 3 = 0. Does 17 divide ((-1)\/(-3))\/(x\/(-51))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/2 (b) -158 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -6. Let q = y + -23. Which is the closest to 2\/7? (a) -2\/3 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x - 1723 + 2*x - 9*x - 1420 + 316 as u + k*x and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 2. Let v = 60 + g. Suppose v = 3*m + 3*i, -69 = -2*m - m + i. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 446, 1, -3, 0, 3, -1023 in descending order.\nAnswer: 446, 3, 1, 0, -3, -1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -7)\/(-2 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**2 + 10*x - 25*x + 15*x.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24111 + 40480. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -14.25\nAnswer: 85.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12\/3 - 82\/(-164)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 50*o**3 + 2*o + 7*o**2 + 37*o**3 - 59*o**3 - 2*o to i*o**2 + t*o + h + m*o**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5959179ug in nanograms?\nAnswer: 595.9179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a*a*a\/(a**(-1)\/a)))*a)\/(a\/a**(-2\/17)*a))**(1\/33)*(a*a\/a**7*a)\/(a**(-6)\/a)*a**(-6\/5)\/a**(2\/7) assuming a is positive.\nAnswer: a**(32638\/19635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71379752?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 6 (b) -0.6 (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1050 + 222*q - 1050 as x*q + i and give x.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -3*79765\/(-63) + (-2)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 481*k**2 + 3067*k - 869. Determine x(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*y + 25*y - 4. Let i(q) = -2*q**3 - 3*q**2 - 2*q - 3. Calculate i(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2359 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 40. Suppose 4*u - 9 = -4*c - 13, -3*u - 18 = -2*c. Solve -m*n - c = -6*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -46*j**2 + 141*j + 17. Let u be c(21). Round u to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (736 - 24*w**2 - 736)*(-2*w**2 + 102 + 0*w - 4*w - 101) in the form v*w**2 + x*w**3 + y + a*w**4 + h*w and give a.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/30720 and 97\/13824.\nAnswer: 276480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -g. Let p(f) = f. Let s be p(4). Let k = -43.4 + 43. What is the third biggest value in g, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1510367*c**4 - c + 43696 wrt c.\nAnswer: 18124404*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 2*n**2 + 32*n + 5*n**2 - 4*n**2 + 38 - 23 to the form y*n**2 + x + g*n and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 410, 1877, 4864, 9815, 17174, 27385, 40892?\n\"Answer: 74*i**3 + 316*i**2 + i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 5, -0.3, 2\/3, -39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1*sqrt(1573))**2 + 4 + 4 - (-2*sqrt(1573) + 5 + sqrt(1573)*-2 + -5)) + -4.\nAnswer: 44*sqrt(13) + 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*q\/(q*q*q**(-4\/7)))\/q*q*q)**38)**(-1\/6))**(-10))**(-5) assuming q is positive.\nAnswer: q**(-10450\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -76, -62, -32, 20, 100, 214, 368?\n\"Answer: r**3 + 2*r**2 + r - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6923 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 - 2*h + 2*h + ((1 - 1 + 1)*(2*h**2 - 4*h**2 + 3*h**2) + 0 + 2*h**2 + 0)*(893 + 29*h - 893) as t + c*h**2 + x*h**3 + o*h and give x.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 7 + 25 = 0. Suppose -2 = -4*r + 26. Suppose -r*u - 13 = -k - 2*u, 0 = -5*u - 10. Sort -5, w, -2, k in ascending order.\nAnswer: -5, -2, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -1100011000000010010001001?\nAnswer: -1100011000000010010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*((-720)\/(-4))\/(-3)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4385 - 7988 = -329*x + 15063 + 1187 for x.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/g**(1\/4)*g*g)**(14\/5)\/((g**(-2)*g)\/g**(-2\/15)) assuming g is positive.\nAnswer: g**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - k**2 + k**2)*(-42*k + 4*k - 5*k) - 4*k**3 + 3*k**3 + 2*k**3.\nAnswer: -85*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -32642*v - 228575. Determine t(-7).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045060343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 283*o**2 - 34972*o + 1526. Give r(376).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.2 and 818709?\nAnswer: -2619868.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 547344, 1094664, 1641984?\nAnswer: 2189304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n**4 - 484*n**3 - 2304*n**2 - 1280*n + 4096 = 0.\nAnswer: -8, -16\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z. Let q(v) = -15*v - 2. Let j(g) = 105*g + 15. Let f(t) = 2*j(t) + 15*q(t). Give f(b(w)).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57050142?\nAnswer: 2, 3, 9508357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.99 and 0.98?\nAnswer: 5.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557005 is divided by 2528?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g**2 - 124*g - 1680*g - 127*g**2.\nAnswer: -111*g**2 - 1804*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + q + 0*q + 3*q**4)*(1 - 1 - q)*(0 + 2 + 3).\nAnswer: -15*q**5 + 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)*(r*r\/(r\/r**6))\/r)**(-44) assuming r is positive.\nAnswer: r**(-814\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**4\/4 - g**3\/3 + 254*g + 2. Let h(c) = 2*c**2 - c. What is -4*a(b) + 7*h(b)?\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 17030377 and 1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**3 - x**2 - 3*x + 14. Let d(a) = -a + 1. What is b(k) - 4*d(k)?\nAnswer: -5*k**3 - k**2 + k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2178254 is divided by 29829?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/32)\/((-20)\/(-3)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1228 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -2*o**7\/105 + 7*o**3\/6 - 2*o**2. Find the first derivative of y(k) wrt k.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 6*b**2 + 8*b - 7. Let y be p(5). Let d = -13 + y. Let o(q) = 0 + 6 + 5*q - 3*q. Calculate o(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 minutes before 5:52 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 divided by 507955.\nAnswer: -9\/72565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-8010)\/10680)\/(-1 - (-7)\/6)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -0.2, 0.3, -2 in decreasing order.\nAnswer: 0.3, -0.2, -0.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 28, -1\/5, 7, 1, 61 in ascending order.\nAnswer: -4, -1\/5, 1, 7, 28, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322368 and 3648.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -14. Let i = -5.03 - -5. Let w = i - -0.43. What is the third smallest value in 0.2, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 203 + -209. Let n(f) = -8*f**3 - 5*f**2 + 5*f - 2. Let q(a) = 9*a**3 + 6*a**2 - 6*a + 2. Determine c*n(y) - 5*q(y).\nAnswer: 3*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 less than or equal to 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19273873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4499.\nAnswer: 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6858474, -6858472, -6858470, -6858468, -6858466, -6858464?\nAnswer: -6858462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 23*d - 25*d + 531 = 0. Let r = 3 + -2.5. Which is the closest to d? (a) 1 (b) r (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2333, -2215, -2003, -1691, -1273, -743, -95, 677?\n\"Answer: d**3 + 41*d**2 - 12*d - 2363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61599048 by -129.\nAnswer: -477512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 502, 1055, 1654, 2299, 2990, 3727?\nAnswer: 4510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by -123.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-405)\/162*(-2)\/(-30)*-138\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4268)\/(-485) + (-27014)\/3055?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 255*k + 2301. Let f be h(-9). Let m(z) = 4*z**2 - 5*z + 9. Let r(y) = -4*y**2 + 4*y - 8. Give f*r(p) + 5*m(p).\nAnswer: -4*p**2 - p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2927.605 + 1201029.605. Let d = w + -1198221.0053. Let n = d - -119. Round n to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**5\/60 - 549*q**2 - 2. Let m(a) = -1040*a. What is f(m(k))?\nAnswer: -1081600*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + 6*-5*(0 + sqrt(320)) + 5) + -5.\nAnswer: -65 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 9) + 12\/3. Calculate the remainder when 78 is divided by ((-3)\/(-9))\/(h\/30) - -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(-2)*(-2 + 0). Let q(c) = 3*c - 1. Let k be q(1). Suppose -3 - 15*o**3 - 13*o**3 - i*o**k - o + 14*o + 1 = 0. What is o?\nAnswer: -1, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64713989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*b + 38 = 0, -x + 1 + 13 = -4*b. Let w be 4 + (-4 - -5) - 0\/x. Solve -2*d = w*p - 0*d - 14, 3*p - 3*d - 21 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31186103273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, x: 4, j: 1, w: 3, m: 5}. What is prob of sequence mwwj?\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (sqrt(448) + -1 - sqrt(448)))*3 - sqrt(448).\nAnswer: 3 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/2 (b) 4 (c) -1.8 (d) 27 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-40518)\/(-4))\/((-109)\/(-218)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -9, -1\/3, -3\/338?\nAnswer: -3\/338","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b5b2bb (base 12) in base 15?\nAnswer: 7a7355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/7 + 1198648*p\/7 - 179594628488\/7 = 0.\nAnswer: 299662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 227829.31 - 0.24279\nAnswer: 227829.06721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134 + 137. Solve 2*c**4 + 12*c + 25*c**2 - 5*c**3 - 7*c**i - 27*c**2 = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Suppose -m - 3*l + 13 = 0, -8*m + i*m = 2*l - 13. Let v = 0.03 - -0.07. Which is the third biggest value? (a) v (b) m (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i - 30. Let b(o) = 2*o - 15. Let q(x) = 2*b(x) - j(x). Suppose 4*p = -11 - 9. Let z(d) = 6*d - 1. Give p*q(s) - z(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439*b + 95016 = 463*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111111110100 + -110010?\nAnswer: 111111111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 7*n - 3*n + 3*n - 5*n + n - 2 - 2*n + 2 + (-1 + 1 + 2*n)*(-4 + 2 + 1))*(217 + 38 + 289).\nAnswer: -2176*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210807.\nAnswer: 3, 59, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, k: 11}. Give prob of sequence kkxx.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -8. Solve 0 = a + 4 - l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46494809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = g + g, -5*g = -h + 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2.01. Let v = 1.01 + j. Put 0.2, v, -3 in descending order.\nAnswer: v, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxb when three letters picked without replacement from {g: 4, x: 10, l: 4, b: 1}?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from {l: 1, b: 4, z: 1, a: 1, p: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 7) + (5 - 3 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1095414 * 0.43.\nAnswer: 471028.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is dab6c9 (base 14) in base 11?\nAnswer: 41aa329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-13 + (2 - 7 - -9) + 37).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 984 and 10?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.6 + -2.4. Let l = s + -2.44. Let n = l + 0.23999999. Round n to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394801, -394781, -394749, -394699, -394625, -394521, -394381?\nAnswer: -394199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 4*c + 0*c)*(1 + 1 + 3)*(-3*c - 16*c + 4*c)*(0 - 5*c + 0).\nAnswer: 750*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**3 - 2*q**2 + q + 1717. Let o = -2 - 1. Determine t(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 0.5. Which is the nearest to -0.1? (a) 0.3 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 15*k - 2. Let f(g) = -91*g + 10. Let d(y) = 191*y - 21. Let q(z) = 10*d(z) + 21*f(z). Calculate c(a) - 3*q(a).\nAnswer: 18*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 36*d - 34. Let f be x(19). Solve -j = -s - 1, j + 2*j - f = 4*s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 13 + -5 + 3 + -4 + 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 834639.\nAnswer: 1\/278213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/(-5) + (-24)\/(-60). Let w be 3 + l + 2 + -2. Let r(d) = -d + 1. Let f(g) = -2*g**2 + 3*g - 1. Let q(k) = -f(k) - 2*r(k). What is q(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(825) - sqrt(825))*-4)\/(-1*sqrt(176)*-2))**2.\nAnswer: 675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3570*r**3 + 6155*r**2 + 1980*r - 20 = 0?\nAnswer: -2\/7, 1\/102, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.75 in 47, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6650185 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.04? (a) -1 (b) 0.01 (c) -11\/3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 347*q + 0*q**2 - 347*q - 1004.\nAnswer: -2*q**2 - 1004","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*s - 2*s - 7*s)*(2 + s - 2)*(-1 + 1 - 2*s)*(8 - 7 + 4).\nAnswer: 1020*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-28\/5)*n*n**10)\/(n**(-46)*(n\/(n*n\/n**(21\/8)))\/n) assuming n is positive.\nAnswer: n**(2031\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 + -2.3. Let t = 2.1 - p. What is the third biggest value in 2\/9, -1\/6, t?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*p = 0, -4*b + 199 = -5*p + 193. Sort 10, -11, -2, b, -1 in increasing order.\nAnswer: -11, b, -2, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/18 and -41\/28672274.\nAnswer: 258050466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 78?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7740\/(-5805))\/((-3)\/(-18)*(-4)\/14).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwmwwzwwwpwww. Give prob of picking 1 p and 1 z.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 1249*p**6\/40 - 3155*p**4\/24 - 3337*p**2. What is the second derivative of y(z) wrt z?\nAnswer: 22482*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + (-4 - (-24)\/21) and -47\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31003032 + 11?\nAnswer: -31003021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -972 (base 15) to base 8\nAnswer: -4124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 180.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -13*b + 60. Suppose -2*w + j - 2 = 6*j, -b*w = 4*j - 12. What is the lowest common multiple of w and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aginininnig. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -139608*o + 2 + 4*o**3 + 38*o**4 + 139606*o - 3*o**3 + (-3*o + 0*o + 2*o)*(0 + 0 - 2*o**3) - 2*o**4 - 2*o**4 - 2*o**4.\nAnswer: 34*o**4 + o**3 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4*6\/48). Solve -k + 3*g = t*k + 10, 4*k - 3*g + 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10318 is divided by 178.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 2*x**2 - x**2)*(-2 + 3 + 0) + 3*x - x - 5*x + 2*x**2.\nAnswer: 4*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 243637772 less than -0.14?\nAnswer: -243637772.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 11:27 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 2. Determine n(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*y + 84, 3*r + r + 3*y = 112. Suppose r = l + f, -f + 76 = -l + 4*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 9*v + 5. Let h be d(-7). Let x = -3 + h. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -9)*-1*2\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/5 (b) 3\/5 (c) -87 (d) -1\/6 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - q + 34, -c + 2*q = -11 + 7. Suppose 7 = -c*f - 1. Let x(w) = 2*w**3 - w**2 - w - 1. What is x(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.29. Let w = 335.4 - 335.5. Which is the nearest to q? (a) -3\/7 (b) -1\/6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4625984 (base 10) to base 5.\nAnswer: 2141012414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (320\/1536)\/(4\/16).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -575 + 577. Solve 0 - 2\/17*h**x - 2\/17*h**3 + 4\/17*h = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(130)*2 + sqrt(130)*2*-2)\/(1*(sqrt(10)*2 - sqrt(10)) + (2*sqrt(100))\/sqrt(10)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -53, -39, -15, 25, 87, 177, 301, 465?\n\"Answer: n**3 - n**2 + 10*n - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 574617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 + -258. Let y = -211 - c. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 20 (b) 5 (c) 6\/47 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 795\/106 + (2\/(-4))\/((-3)\/9). Solve -20 = 5*a, 3*a = -s - i + 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*h**2 - 95*h**2 - 168*h**2 + 14*h**2 + 13*h**2 + 5*h - 2 to b + p*h + n*h**2 and give n.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 - -785d19?\nAnswer: 785d01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + -83. Suppose 5*y + 12 = -l*p, y - p = 4*p + 15. Suppose -5*o + 4*t = -2*o - 1897, y = 5*o - 2*t - 3157. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1089.40981 to zero decimal places.\nAnswer: -1089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -196, -394, -592, -790?\n\"Answer: -198*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 21 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 32*j + 21. Let l be y(10). Solve -l = -0*x + x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/7377430 and -45\/65786.\nAnswer: 51642010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16140.6 and -1198.\nAnswer: 19336438.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/10*238\/3213?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912937?\nAnswer: 359, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9472 + 2744 = -509*y for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 418 + (7 - (-6 + 16))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(810) - (1*sqrt(810) + sqrt(810)) - sqrt(50)\/(-1*sqrt(5)))\/((sqrt(5) - (sqrt(5) - (sqrt(50)\/(sqrt(10)*2) + sqrt(5)))) + sqrt(5)*-2*-3).\nAnswer: -16*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -20*s - 6*s**2 + 13 + 0*s**3 - s**3 + 27*s. Let j be y(-11). Suppose 5*t + 201 - j = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 - -141. Let a = h - 22. Solve 0 = -l + 4*l + a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 241\/2*f + 1\/4*f**2 + 0.\nAnswer: f*(f + 482)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 700 and 900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 188*y**2 - 400*y + 3746. Calculate w(190).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 21 = 19. Suppose c*k + 4*k = 3*k. Solve k = 3*p - 12 + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2874182803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-1))\/(5 - 0). Let a = -1\/179 + -168\/1969. What is the second biggest value in j, a, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1157317 and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5988.909kg?\nAnswer: 5988909000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.15 + -37.55. Let w = -4 + -3. Let y = 2 + w. Which is the closest to g? (a) 0 (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/73594 at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**4\/4 - u**2\/2 - 2*u + 3. Is 14 a factor of l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 4)*(75 - 75 - 10*f)*(2*f - 3*f + 2*f) + 2 + f**2 - 2 to the form q*f**2 + a*f + k and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 1 g when three letters picked without replacement from bgqbbvggggqgqqqqqgv?\nAnswer: 98\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3092*k - 2994*k = 980 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11212 + -12?\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 + 48*n**2 + 106*n - 122. Determine h(-8).\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 316, 589, 966, 1471, 2128, 2961?\nAnswer: 3994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/30 - 9*h**4\/8 - 34*h**3\/3 + 107*h**2. Let g be a(16). Solve 7*j - j = -g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**2\/2 + 10*u - 4. What are the prime factors of v(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12\/1205 - -6073\/4820. Let j(b) be the first derivative of -13 + c*b**2 - 5\/12*b**3 - 5\/4*b. Factor j(m).\nAnswer: -5*(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*q - 13 - 11, 5*q + 25 = 2*l. Let t = 12 - 18. Which is smaller: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p + 0*p**2 + 10 + 0*p**2 + p**2 - p. Let i be j(5). Suppose -h + 2*s = -i*s + 1, 12 = 4*s. Round h to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/2, -3, -5, 0.07?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 26 = -5*p, 4*q = 2*p - 19 - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + l)*(5 - 3 + 3) + 253 - 195*l + 376*l - 179*l.\nAnswer: 12*l + 253","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - f - 1. Let u(y) = -11*y**2 - 16*y - 11. Let c = 109 + -103. Let d(h) = c*p(h) - u(h). Suppose d(t) = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 300732854*a - 1076490884 wrt a.\nAnswer: 300732854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2977, -2954, -2915, -2854, -2765?\n\"Answer: h**3 + 2*h**2 + 10*h - 2990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40720 divided by -5?\nAnswer: 8144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -16*r**2 + 5*r + 5. Let a(w) = -7*w**2 + 2*w + 2. Let j(l) = 5*a(l) - 2*y(l). Let b(z) = -3*z. What is b(j(x))?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4379*g + 32269 = -7142 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuve. Give prob of picking 1 v and 1 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s = -31*s + 848. Solve 12*h - s*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100110111 - -1?\nAnswer: 110100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**3 + 4*d**2 + 4*d + 1. Let q be (-172)\/(-6)*(-15)\/(-10). Let p = 70 - q. Calculate the remainder when p is divided by t(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -47. Calculate the highest common divisor of 10 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-2*1 - 0). Let b be (0 + 1)\/((-1)\/c). Let g = b - -4. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -5*o**4\/24 - 5*o**3\/6 + 210*o**2 - o. What is g(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5102*f - 5153 wrt f.\nAnswer: 5102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 21*z**2 - 126*z + 126. Let v(q) = -q + 1. Let t be ((-1)\/5)\/(17 - 1118\/65). Determine t*k(j) - 126*v(j).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11225000 rounded to the nearest one hundred thousand?\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/5468 and -75\/5468?\nAnswer: 5468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/12 - 64*l. Let r(m) = 853*m. Determine r(o(b)).\nAnswer: -853*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6) + (-14)\/(-24). Let l = 662 + -662. What is the nearest to l in z, 5\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (2*sqrt(170)*3 - sqrt(170) - sqrt(170)) - sqrt(170))\/(sqrt(490)*5).\nAnswer: -4*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 divided by -45?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z + 2 - 1 + 3. Let w be (1\/(-2))\/((-3)\/(-18)). Let a(n) = 2*n - 2. Give w*j(g) - 7*a(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81346 is divided by 35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/4)\/1 + -2. What is the nearest to j in 1\/6, 4\/3, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(32) - sqrt(32))\/sqrt(8)*3 - (sqrt(12) + (-1*sqrt(12) - sqrt(12)))\/sqrt(3)*2)\/(-3*(5*sqrt(72)\/sqrt(4))\/(sqrt(63)\/sqrt(28))))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*f**4 + 14*f**4 + 10*f**4 + 59)*(2 - 3 - 2).\nAnswer: -3*f**4 - 177","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/224558 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 113*d**4\/12 + 7*d**3\/3 - d**2 - 4*d - 6. What is the second derivative of k(n) wrt n?\nAnswer: 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 2*x - 48*x**2 - 6*x.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j + 19*j - 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a. Let u(j) = -j**2 - j. Let m(c) = 8*c. Let n(f) = m(f) + 8*u(f). Determine z(n(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 14*w - 129776. Suppose 38*f = -2234 + w. Calculate the remainder when f is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 + 0*p**2 - 2*p**2. Let x(z) = z + 11. Let a be x(-9). Let s(m) = a*m + 19 - 19. Give l(s(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2. Let g be (-170)\/(-60) + (-1)\/(-6). Let d(l) be the second derivative of 0*l**2 - 1\/6*l**3 + 0 - g*l. Give d(j(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -19, -29, 5.\nAnswer: -29, -19, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b = -52 - 68 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g**2\/4 - 339*g\/4 - 1953\/2 = 0.\nAnswer: -42\/5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4570, -9142, -13714, -18286?\nAnswer: -22858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 15959233686?\nAnswer: 15959233686.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311205704?\nAnswer: 2, 3, 37, 461, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1012 and 19524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i - 4*k + 74, 3*i - 4*i + 4*k - 6 = 3*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -1127*c**4\/2 - 2044*c + 1629. Differentiate i(d) wrt d.\nAnswer: -6762*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317072 divided by 5.\nAnswer: 317072\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f + 3, 3*f + 25 = 2*a. Suppose 9 = -5*x + a. Suppose 3*v = 4*q + x, -q = -0*q - v - 1. Sort 7, 1, q in descending order.\nAnswer: 7, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 14*o**2 - 13*o - 49. Determine y(-6).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*i, -2*j = -0*j - i. Let u = 2 + j. Suppose -3*y - 3*k - 2*k - 4 = 0, u = -y - 2*k. Solve 0 = y*h - 3*h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 0.028588.\nAnswer: -3.971412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 7:22 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.112 - -66.888. Let i = 107 - t. Let v = -40.336 + i. Round v to two decimal places.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 28*o**3 + 0 - 29*o**3 - 1. Let a = 3 + -4. Determine j(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1146295, -1146287, -1146265, -1146223, -1146155?\n\"Answer: d**3 + d**2 - 2*d - 1146295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 2030525635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 508065247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226041?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*(2 + 6*(((sqrt(2448) - sqrt(2448)*1)*-4)**2 + sqrt(2448) - 5*sqrt(2448)*-2) + 0).\nAnswer: 10 + 3960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 99638, 100046, 100454?\n\"Answer: 408*r + 99230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2332212210 (base 4) to base 15\nAnswer: -1064c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 4*v - 37, -3*i + 117577*v + 47 = 117581*v for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (1 - 0)) + (-37 - -24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2992*z + 2990*z - 2*y - 6 = 3*y, 0 = 5*z + y + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 1221183989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6 = 0, 5*r = 2*w + 24 - 38. Suppose -w*n + 5 = -q - 8, 5*q = 2*n - 33. Determine h so that 1\/9*h**n + 2*h**2 + 7\/9*h**3 + 20\/9*h + 8\/9 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 5*f)*(-f**2 + f**2 + 2*f**3 + (-4*f + 2*f + f)*(-f**2 - 2 + 2)) to p*f**4 + k*f**2 + v + q*f + l*f**3 and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*i + 0*i**4 + 6*i - 36*i**4 + 31*i wrt i.\nAnswer: -432*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -14. Let t(b) be the first derivative of -b**2\/2 - 13*b + 1. Let o be t(l). Put o, -3, -2 in ascending order.\nAnswer: o, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3053813 to the power of 1\/2, to the nearest integer?\nAnswer: 1748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7938454?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/60726163 and 91\/8.\nAnswer: 485809304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -626*b - 2492. Calculate h(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58*599.\nAnswer: 34742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*((2*sqrt(65))\/sqrt(5)*-2 + -3*(-1 + sqrt(13)*-1)))**2*-4.\nAnswer: -88 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 102*h + 8 - 1.\nAnswer: -102*h + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 812, 2847, 6808, 13337, 23076, 36667?\nAnswer: 54752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3 + 2*z - 2*z**4 + 6 - 2*z**2 - 6 to s*z**3 + l*z**2 + o*z + m*z**4 + t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 10*t**2 - 2*t - 9. Let o be q(-10). Let p = o + -9. Which is the biggest value? (a) p (b) 0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + 1 + 1 + -23 + 25\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h - 6 = 17*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 2*j + 2. Let b(m) = m + 13. Let n be b(-10). Let q be d(n). Let y be -1 - (q + 1 + -1). Solve 3*l = 3 - y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 50\/13, -2\/11 in descending order.\nAnswer: 50\/13, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 342496 a multiple of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -59\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 68 - ((-15)\/5 + 2 + -1). Sort f, 5, 4 in decreasing order.\nAnswer: f, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11)\/(z**(-4)*z*z)*z*z**(2\/7)*z*(z*z*z\/z**(-2\/5))\/z*z)**26 assuming z is positive.\nAnswer: z**(78754\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*d*g**2 + d*g*s**2 + 3*d*g*s + 6*g**2*s**2 + g*s**2 - s**2 wrt g?\nAnswer: 18*d + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -30780130 to the nearest 10000.\nAnswer: -30780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 2)\/(-1)*8. Calculate the remainder when 7 is divided by (6\/9)\/(y\/(-36)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 479*b**6 + b**4 + 1790*b**2?\nAnswer: 57480*b**3 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.15, -5, -0.4, 8?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5970.7 and 2?\nAnswer: 11941.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9355039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/1050)\/(-6)*(-61)\/((-13176)\/180).\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + 0*g)*(-583 - 297 + 310).\nAnswer: 1710*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10676\/24829 + 5\/3547. What is the nearest to 4 in 0.02, s, 5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x - 11*x**2 + 8*x)*(-5*x + 5*x - 2*x + (-x - x + 3*x)*(-2 + 2 - 1) + x - x - x - 2*x + 1 - 1 + 4*x - 3*x - 2*x + x - 7*x + 3*x).\nAnswer: 110*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l + 2. Let d(t) = -t**2 - 6*t - 4. Let g be d(-4). Let p(a) = -2*a + 1. What is g*w(h) - 9*p(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8498, -8503, -8510, -8519, -8530, -8543, -8558?\nAnswer: -8575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neebbnjeebxbxxbxj. What is prob of picking 1 b and 1 x?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, e: 1, r: 1, j: 2}. Give prob of picking 1 e, 1 b, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2189*-0.2\nAnswer: -0.04378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**5\/2 - s**2\/2 + 419*s. Suppose 6*i = i - 25. Let g be (-5)\/(-4) + i\/20. Determine l(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 71, 193, 387, 647, 967, 1341, 1763, 2227?\n\"Answer: -w**3 + 42*w**2 + 3*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 27327 = -3*w + 2*s, 0 = 4*w + 2*s - 36438. Let q = w - 1508. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66660 (base 13) in base 14?\nAnswer: -4b920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 2*y**2 + 2*y**3 - 9 - 20 as b*y**3 + n*y**2 + a*y + p and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333332 + 2*q**3 - 333332.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*h - 8163, -6*h + 5*h - 1 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -644, -1290, -1936, -2582, -3228?\nAnswer: -3874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2852059.9 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6821 + 9840. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9254 = -55*t + 57*t - 4*v, 4*t = 5*v - 18517. What is t rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssass. What is prob of sequence sa?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3444 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2052, 2055, 2060, 2067, 2076, 2087, 2100?\n\"Answer: i**2 + 2051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 63, 1\/2, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -3*k - 11*y - 6, y = -3*k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 253*n**3 - 113*n**3 - 225*n**3 + 2*n**3 + 2*n**3 - 7*n**3 + 2*n**3 - 5*n**3 + 4*n**3 + (1 - 1 + n)*(3*n**2 - n**2 - 4*n**2).\nAnswer: -89*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -126561, -253089, -379617, -506145, -632673, -759201?\n\"Answer: -126528*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*a - 443*a + 196040 = 1161*a for a.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 7. Suppose 10*l - 7*l + 15 = 0. Let r = l - v. Solve -15 = -3*o - 5*u, -3*o - r*o = -u - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 9, 0, -1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1217*u**3 - 4*u - 31. Let q(c) = -c**3 + c + 8. What is -4*q(f) - z(f)?\nAnswer: -1213*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -5 (c) 5.2 (d) -0.5 (e) -0.08 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6378077 centuries in decades?\nAnswer: 6.378077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182\/42275 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a century in years?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 51588, 51164, 50740, 50316, 49892, 49468?\n\"Answer: -424*x + 52012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -39\nAnswer: -11\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2694 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1643 - 6?\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 8, e: 2, v: 3, x: 5}. What is prob of picking 2 h?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 78285560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 - 2*d**3 + d**3 + (9*d - 8 + 8)*(d**2 - d**2 - d**2) + (-1 - d + 0 - d)*(19 + 22*d**2 - 19).\nAnswer: -54*d**3 - 22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17242767901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1001322211 (base 4) to base 15\nAnswer: -54ee4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*d + 42 + 53. Solve 0 = 3*a - 5 - 4, -a = d*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5097677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 - l**2 - 2*l + 2. Let b be w(0). Factor -3\/5*g**3 + 0 + 0*g + 0*g**4 + 3\/5*g**5 + 0*g**b.\nAnswer: 3*g**3*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 4*p + 4*p)*(2 - 2 + 3) - 149*p + 1 - 37*p + 29*p.\nAnswer: -163*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*a**3 - 218*a**3 - a**2 + 559*a**3 + a**2.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 233005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11630 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 4*w + 3, -3*p + 2 = -4*w + 11 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75\/(-9)*(-1 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -7*c + 3. Suppose 35 = 2*k - 5*j, k = 4*k - c*j - 39. Suppose -14*q + k = -12*q. Solve 0*p - 2 = -2*h - p, -16 = -q*h + 3*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0 (c) 2 (d) -0.1 (e) -1\/1078 (f) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 45. Suppose -d = -y*d - 1220. Is 35 a factor of (-15)\/60 - d\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 56, 100, 182, 314?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x + 1\/2*x**2 + 3. Let b be p(0). Solve w = v + b, v + 3*v + 4 = -3*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/7866600 and 29\/134856?\nAnswer: 23599800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 - 3 = -2*y, -3*y + 2*s = -25. What is the highest common divisor of 10 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200211 (base 3) in base 14?\nAnswer: -a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*z + 0*z - z to the form a*z + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2632986 is divided by 934.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(18\/13)*o*o)\/(o*o**30)*(o**17)**(-8\/17) assuming o is positive.\nAnswer: o**(-450\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 103, 202, 301?\n\"Answer: 99*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 236323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 943.3822 kilometers?\nAnswer: 94338220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089035009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.09 (b) -3 (c) -0.075 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26096 is divided by 180.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -7*k**4\/72 + 5*k**3\/6 - 2*k**2\/3 + 32*k. Factor s(i).\nAnswer: -(i - 4)*(7*i - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 358 - 301. Calculate the least common multiple of 9 and r.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) 0 (c) -5 (d) 0.023\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.622 + 0.142. Is c less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*c = -104 + 522. Solve 0 = -4*j + 12*f - 17*f + 6, -c*f + 4 = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-4)*(-67 - 13). Calculate the highest common divisor of 25 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 16*g - 1173. Let l(x) = 22*x - 1760. What is 7*h(o) - 5*l(o)?\nAnswer: 2*o + 589","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 4*q**2 - 6. Let u be p(-3). Suppose 0 = 2*m - 4*f + 14, u*m = -2*m + f - 26. Let z(n) = n**2 + 5*n + 6. Is 3 a factor of z(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 v, and 2 k when four letters picked without replacement from {k: 2, d: 3, n: 1, q: 2, v: 3, f: 3}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3639 (base 13) to base 12.\nAnswer: -4519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 6) to base 14\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -12*j**5\/5 - j**4\/3 - 2*j**3 + 3*j**2\/2 - 17*j - 1. List the prime factors of y(-2).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 + c - 1. Let m be p(1). Suppose x = -3*x - m*v - 36, 4*v + 32 = -3*x. Is (-8)\/(1 + 5\/x) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 - 32*z**2 - 5*z + 1160. Determine w(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + b + 13. Let s be v(0). Let a = -4 + s. Suppose 0 = 4*o + 4*u - 48, 5*u + 1 = 5*o - a. What is the remainder when o is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38163?\nAnswer: 3, 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 11103533?\nAnswer: 6662119.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2689*l + 499. What is the hundreds digit of n(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6191\/24 - -1547\/6. What is the closest to 131 in 1, i, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*t - 12, -5*t + 10*t = -5*m + 30. Solve m*p = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 109 + 9. Suppose -2*y + f + c = -0*f, -2*y + 5*f + 50 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7977.4 weeks in milliseconds?\nAnswer: 4824731520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*m + 76 - 128 - 407 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99.22 + 98.62. Suppose l + 4*g = 4*l + 20, -5*l + 2*g - 52 = 0. What is the smallest value in 0.3, z, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/71459 and 16\/944011?\nAnswer: 17936209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 0 - 7 = -2*u, 4 = 4*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -386 divided by 99?\nAnswer: -386\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.12 (c) -2\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6016433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124 + -120. Let x(r) be the first derivative of -r**3\/3 + 5*r**2\/2 - r + 1. What is the units digit of x(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 71 - -3 - 4\/2. Suppose -4*a = -x - l, -x = 2*x - 12. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 847 + 2*u + 3*u - 3*u - 19 - 4*u + u + 4*u + (2 - 5 + 1)*(-5 + 5 + u) + 108*u - 44*u - 104*u.\nAnswer: -39*u + 828","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(0*t**2 + 0*t**2 - t**3) - t**2 - 1574*t**3 + t**2 + 1056*t**3 to a + u*t + v*t**3 + c*t**2 and give v.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 9:16 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppn when three letters picked without replacement from pfpiiiididiidnppf.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 1113610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8120 - 24358\/3. Sort w, 16, -2, -4\/5.\nAnswer: -2, -4\/5, w, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 36*g + 36*g)*(-2 + 4 - 4) + 2*g**2 + g**2 - 2*g**2 + (3 + 1 - 3)*(6*g**2 - 8*g + 8*g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14d1 (base 14) to base 15.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 6*d**2 + d + 7. Suppose -5*m + 10 = 0, 2*a - 3*m = -7*m - 4. Let g be n(a). What is the least common multiple of 10 and g + 0 - (-1 - 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirty-one halves of a millisecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/1773 and 35\/1576?\nAnswer: 14184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/15 in 0.5, -0.4, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 334342513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(363) - (6*sqrt(363)*-1 + sqrt(363))) + sqrt(363))*-4 + 5 - (-3 + 2*sqrt(363) - (-5*(2 + sqrt(363)) - sqrt(363))))**2.\nAnswer: -470452 - 1584*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 11:58 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*n + 8*n + m + 44, 2*n + 8*m - 132 = 11*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -1\/63*s**7 + 0*s**2 + 0 - 1\/90*s**6 + 1\/36*s**4 + 101*s + 1\/20*s**5 - 1\/18*s**3. Find c such that o(c) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276, 267, 258, 249?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 898\/7*f - 64 + 2\/7*f**3 - 452\/7*f**2 = 0.\nAnswer: 1, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 49*m + 6329. Let i be g(-177). Which is bigger: -4687\/2 or i?\nAnswer: -4687\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 25. Let s be 1 + 4\/(-24) + (-14)\/r. Which is the third smallest value? (a) 3\/4 (b) -9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 9*i**2 + 3*i - 10. Let f be o(10). What is the tens digit of ((-6)\/8)\/((-5)\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -18*i - 40. Let p(l) = -12*l - 27. What is 5*g(s) - 8*p(s)?\nAnswer: 6*s + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 1:47 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22106, 22126, 22132, 22118, 22078?\n\"Answer: -d**3 - d**2 + 30*d + 22078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4273 times 71\nAnswer: -303383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**4\/4 + v**3\/3 - v**2\/2 + 1. Let c be x(2). Let t = 65 - -45. Calculate the greatest common factor of c and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1778 + 12479\/7. Let n = 377\/77 - p. Which is the third biggest value? (a) -4 (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x - 2. Let g be 6 - 590\/55 - -6. Are g and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/6 + 11\/30. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/15 (b) -33 (c) -3\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(39)\/(sqrt(3) + sqrt(6)\/sqrt(2)).\nAnswer: 1 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-4)\/6 - (-129)\/9. Suppose -7*k = -d*k - 35. What is the biggest value in -1\/4, k, 5, 28\/3?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2360\/320 + -7 + 0.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*d + 26. Let y be 30\/8 - 2\/d. Solve -4*g + 7 = -r, y*g + 0*g + 5 = -3*r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*h + 16. Let a = -2 - -10. What is the greatest common divisor of h and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b + 4 - 16. Sort 2, b, -5, -2 in descending order.\nAnswer: 2, b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puuyuif. Give prob of sequence fiup.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 7*l + 12. Let i be x(-5). Let c(k) = -2*k**2 + 3*k - 5. Let f(j) = -5*j**2 + 8*j - 14. Calculate i*f(r) + 8*c(r).\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2563 - 2168. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 463*j - 436*j = -1 + 1. Factor j + 0*g**2 - 1\/3*g**4 + 0*g + 2\/3*g**3.\nAnswer: -g**3*(g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 443\/4 - 110. Which is greater: r or -3\/22?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.959 - 1.007. Let z = 0.148 + f. Round z to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55.98 - -56. Let s = 58.02 - u. Let p = 61 - s. Which is the closest to -1\/3? (a) p (b) 1 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50270062*f**4 - 5*f**3 - 271583*f**2 - 6*f - 49 wrt f?\nAnswer: -1206481488*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11346959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -33*r - 143. Determine l(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and ((-42)\/7 + 18)\/(6\/4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(2 + (-1 - (1 + 1))). Solve -i - 5*m + 28 = c, i - 5*m = -i - 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10814*d*h - d + 201*h - 13009694 wrt h?\nAnswer: -10814*d + 201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*d + 2 + 30*d + 90*d)*(-8 - 11 + 0).\nAnswer: -874*d - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -32, -49, -82, -137?\n\"Answer: -c**3 + c**2 - 3*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2018*u + 31467 - 31467 to the form b*u + t and give b.\nAnswer: 2018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -u - 4 + 9, o + 5 = -2*u. Suppose -19 + 4 = -5*z, w - z = -4. Is 9150\/10 - ((u - 1) + w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 46*n - 43. Let l be g(32). Suppose 0 = -u + 5, 0 = p + 2*u + l + 1085. Let w = 4447 + p. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.05 - -16. Let o = u - -0.12. Which is the nearest to o? (a) 3 (b) 3\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j, -4*l + 0*l + 5*j = -96. Find the second derivative of -24*w**2 + l*w**2 - w**3 - 8*w - 4*w**3 wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/118040 and 28\/791635?\nAnswer: 1437609160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17795466 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886695964.\nAnswer: 2, 7, 11, 89, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*v**2 - 9*d*v + 18184*d + 5*v**2 + 2*v - 49307 wrt d.\nAnswer: 2*v**2 - 9*v + 18184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1294679\/525 - 17258\/7. Find the common denominator of 49\/633 and r.\nAnswer: 15825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-8)\/o**4*(o**(3\/8)*o*o*o)\/o*o*o**28 assuming o is positive.\nAnswer: o**(155\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, -1, -5, 2, 1648.\nAnswer: -12, -5, -1, 0, 2, 1648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43935 - 2636221\/60. Let f = -393\/140 - -31\/28. Find the common denominator of m and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m + 24*m = 413 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343770921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 - k**4 + k**4 + 3*k**5 - k**5 - 3*k**5 + (-3*k + 0*k + k)*(-2*k**4 + 6*k**4 - 3*k**4).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*(-3 + sqrt(500) + 0 + sqrt(500) + sqrt(500)))**2.\nAnswer: -1620*sqrt(5) + 40581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13683, -29383, -45083, -60783, -76483?\n\"Answer: -15700*z + 2017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 - 3*p**5 + 4*p**5 + (7 + 1 - 2)*(2*p + 5*p - 49*p)*(-5 - 6 + 4)*(p**2 + p**4 - p**2).\nAnswer: 1765*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/7)\/((-2)\/14). Suppose -i + 2*i = 4*f - 4, -2*f - 8 = -3*i. Solve -i = 2*s + b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 53251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14837 and 93032?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*x + 2*x - 28, z = -x + 8. Let t = -167574 - -167606. Solve x*n + 4*u = t, 31 = 4*n + n + 2*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p + 93. Calculate w(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5359.203 decades?\nAnswer: 53.59203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015455 rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**10*r**(-3))**(-4\/35)\/((r*r**2)**(-18)*(r*r\/(r\/r**(-6)))\/(r*(r**6*r)\/r*r)) assuming r is positive.\nAnswer: r**(2393\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -78723414 divided by 27?\nAnswer: -2915682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 210970014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.51082ml?\nAnswer: 0.00251082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2*y - 2280 + 2265 = 0, 0 = -2*m + 2*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*b**3*j**2*w**2 + 32*b**3*j**2*w + 3*b**2*j**2*w - 3*b**2*j*w + 2*j**2*w**2 - 2*w**2 wrt w?\nAnswer: -100*b**3*j**2 + 4*j**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 3\/4 (c) 1\/36 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8902830 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29965421 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 92790.26 litres?\nAnswer: 92790260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (6\/(-5))\/(18\/60). Suppose -4*k - 4*u - 20 = 0, -o = -5*k + u - 3. Let y(g) = 10*g**2 + k*g - g**2 + 5*g - 8*g**2 + 5. Give y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5502 divide 5334445888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1372.1 - -1372. Let r = 0.3 - 0.1. Sort 2\/11, -5\/3, v, r in increasing order.\nAnswer: -5\/3, v, 2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 12:41 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(((-2)\/(-358))\/(2 - 1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-1*5\/8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from ddnnthdkjkdh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2415909 to 4 dps.\nAnswer: -0.2416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -487, -4, -33, -2976.\nAnswer: -2976, -487, -33, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439 - 425 = 49*l + 121 - 544 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*n - 10 = 0, -4*f + 2*n - 25 = -9. Let d(b) = -13 + 27 - 13. Let i(p) = p + 2. Calculate f*d(c) + i(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 24*f + 33. What is h(-14)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 14*u**2 - 16*u + 46. What is h(-16)?\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1147\/(-185))\/((-2)\/(-10)*-1). Let b(m) = m**3 + 3*m**2 + 2. Let c be b(-4). Let w = r - c. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1740 divided by -30.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**4\/5 + 11088*v**3\/5 - 33288*v**2\/5 + 33296*v\/5 - 2220 = 0.\nAnswer: -2775, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14895 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -15.5. Let r be -3*(-2 - 11\/(-5)). Let x be 1 + 3 + (-3 - 2). Which is the closest to x? (a) r (b) -2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 54*k**2 - 110*k + 5. Let c be r(2). Solve 0 = -j + m + c, -3*j - 4*m = -4*j - 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*g + 3*g**2 - g**2 - 5*g**2 + 138*g + 27*g as w*g**2 + q + i*g and give i.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1588*q = 1580*q + 88 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*x + 125 = 37, 16 = 4*x. Suppose -12*v = -13*v + 2. Suppose -4*n - 3*d - 105 = 0, -v*d - 54 = 5*n + 72. Which is smaller: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*b + 380*b + 183*b - 1013*b - 323*b - 955*b.\nAnswer: -2000*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -236240 - 0?\nAnswer: -236240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b + 266?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -67. Suppose 0 = 3*x - 4*x + b. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 197*v**2 - 143*v**2 - 47.\nAnswer: -340*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2 + 136*d**2 + 4*d**3 - 3*d**3 - 141*d**2 - 3 + 2*d. What is the remainder when 42 is divided by u(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36187?\nAnswer: 36187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6884.6677681251 + -2.\nAnswer: 6882.6677681251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 43. Suppose 0 = 3*t - 2*m - 73, -p*t + 3*t - 5*m = 46. What is the highest common factor of t and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/4 or 0.715?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -16 (c) 1\/8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -3*m**4\/2 + m**2 - m + 1. Calculate u(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.08, -0.2, 1\/10, 2\/13 in increasing order.\nAnswer: -0.2, 0.08, 1\/10, 2\/13, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311 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: Sort 2, 0.3, -0.35, 0.\nAnswer: -0.35, 0, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.02853, 0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b, 2*u - 2 = -1613*b + 1618*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*w*z - 203*w + 2*z - 2179 wrt w.\nAnswer: 7*z - 203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-22 - 4) + 19\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/415 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 4*h + 23, 4*p + 32*h = 33*h + 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5763*d**3*w**3 - 8691*d**3*w - d*w**2 + 121*d*w + 86*w**3 wrt w?\nAnswer: 34578*d**3*w - 2*d + 516*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1134)\/(-45) - 0)*135\/27. Solve -l*c - 8*c - 938 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 440*l - 39035. Give c(124).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*j*n**3 - 14*j*n**2 - 10*j*n + 3*j - n**3 - 42*n wrt n?\nAnswer: 510*j*n - 28*j - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 0, -1, -4104, 5, -4, -3 in decreasing order.\nAnswer: 32, 5, 0, -1, -3, -4, -4104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 166952 and 17655174.\nAnswer: 70620696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -5\/6*t**3 + 0 + 11\/2*t**2 + 10*t. Let g be o(-5). Calculate the greatest common divisor of g and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 3. Let s be f(4). Suppose -2*k = -2*r - 5*k - s, 3*r = -2*k + 2. Suppose -x + 4 = -r. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 + -0.648?\nAnswer: -0.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1538 divided by -141142.\nAnswer: -769\/70571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(720) - 2*sqrt(720)) + sqrt(720) - sqrt(720)))**2 - (sqrt(720) - (1 + sqrt(720))*-5).\nAnswer: -72*sqrt(5) + 6475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*q - 4*v + 37, 2*v = 4*q - 68. Suppose -q*d + 43 = -17. Solve a + 5 = -d*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.64 + 322.36. Let l = -312 + b. Which is smaller: 0.03 or l?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 1:51 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 19020716.713 to the nearest one hundred.\nAnswer: 19020700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c - 6. Let x be (-1)\/(-3) - (-22)\/c. Let z = -20 + 20.1. What is the closest to -0.1 in -2, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 + x - 1. Let s(t) = -21*t**2 + 3*t - 4. Let a(f) = 4*d(f) - s(f). Let b(g) = g**2. Determine a(b(h)).\nAnswer: 5*h**4 + h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(96\/(-40))*1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 88728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 3*c = -14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34410 (base 6) to base 10.\nAnswer: 4902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365975 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7628788 is divided by 756?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 - 2) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + 0*n)*(-n + 0*n - 3*n) + 3*n - n - 2*n**2 - 5*n.\nAnswer: 10*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 8:02 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -558, -361, 306, 1677, 3986?\nAnswer: 7467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.06 and -0.093469.\nAnswer: -0.153469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -9\/2*c**2 + 3 + 0*c - 2\/3*c**3. Find the second derivative of p(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - 103?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -18.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0 = -3. Let v(d) = 91*d**2 + d - 17. Let u(b) = 45*b**2 - 7. Let k(j) = 5*u(j) - 2*v(j). What is k(m)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480826448 is divided by 611?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:00 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 9*y - 10. Let c be x(-8). Let w = c + 4. Put -1, 0, w in descending order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7073985.\nAnswer: 3, 5, 19, 24821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 45 = -0*h. Let a = h - 11. Suppose -a*r + 3*r = -161. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (-3 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 64, 39, -4, -71?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/928 and 73\/5714?\nAnswer: 2651296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, -8, 5, -249, -10, 1 in decreasing order.\nAnswer: 5, 1, -1, -8, -10, -12, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 8*a + 1. Let h(s) = -5*s**2 + 5*s + 67. Let c(r) = 9*r**2 - 10*r - 135. Let t(l) = -4*c(l) - 7*h(l). Let k be t(11). Calculate j(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31984 divided by -8?\nAnswer: -3998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 9. Let k(s) = 322659*s. Give i(k(l)).\nAnswer: -104108830281*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3421?\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 27*k - 466. Determine u(13).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 14) in base 12?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 323*z**3 + 24092*z**2 - 490420*z.\nAnswer: z*(z - 226)*(z - 62)*(z - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(5\/4)*((o*o**(1\/8)\/o*o)\/o)\/o)\/(o\/o**(1\/13)*(o**(-17)\/o)\/o))**(-38\/3) assuming o is positive.\nAnswer: o**(-36461\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 1\/140 (c) 2\/13 (d) 4 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*z = k - 4*k - 451, -5*k + 2*z + 529 = 582 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 352 = -4*q, -3*q - 87 = n - 335. Let o = q + -82. Let t be 1\/2*2*8. Solve -t = -o*j - 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 331696 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 37. Suppose 3*u = w + 414, -5*u - i*w + 690 = -0*u. Let g be u\/(-24) + 1\/(-4). Is -6 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 400 = -3*p - 0*g, -5*g = -4*p + 475. Calculate the highest common divisor of 50 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126661?\nAnswer: 23, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -205583119185 and 4.\nAnswer: -205583119181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 26 = -8. Calculate the greatest common divisor of t and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -54*g + 2159. Calculate n(35).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*g - 292*g - 62 = 20*v, -v - 3 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(700)*1 - 6*(sqrt(7) + 0 + 4).\nAnswer: -26*sqrt(7) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8266827, 16533654, 24800481?\nAnswer: 33067308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.2. Let t = 2 - -3. What is the closest to -2\/7 in o, -3\/4, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (285*r**2 - 377 + 377)*(-3 - r + 3)*(-1 + 1 - 1).\nAnswer: 285*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6.191 times -13734\nAnswer: -85027.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*(sqrt(57)\/(sqrt(12) + sqrt(3)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 251568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 16492*y - 4782695. What is p(290)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17243795 less than -0.12033?\nAnswer: -17243795.12033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/(-15)*4810\/(-296). What is the greatest common factor of g and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 7573\nAnswer: -7\/7573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1359806.6446 to the nearest 100.\nAnswer: 1359800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 0, -27 = -0*k - 3*k - 3*z. Calculate the greatest common factor of k and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63710989?\nAnswer: 23, 2770043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -36. Suppose -2*l - 14 - 7 = -5*b, 2*l + q = 3*b. Suppose -5*y = -3*y + 2*f + 12, -3*y + b*f = 24. Let i(r) = r + 7. Determine i(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5238 + -5200. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 112 (c) -0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 + c**3 - 4*c**3 - 3*c**2 + 3*c**2 - 2*c**3 + (-c**2 + 0*c**2 + 0*c**2)*(4 - 4 - c) - 39*c**2 - 4*c**3 + 39*c**2.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 37 = -3*i, -26*l + 54 = 4*i - 23*l. Solve -231 = -i*c - 291 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/5)*t*t\/t**4)**(9\/4)*(t*t**(-6)*t**(2\/23))**(8\/7) assuming t is positive.\nAnswer: t**(-31121\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.22121 and -4072085.89.\nAnswer: -4072083.66879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 93494.\nAnswer: -1\/93494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 41030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12291 divided by 1?\nAnswer: 12291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6 = -w. Suppose w = -y + 6. Find the second derivative of y*o**5 - 5*o + 3*o + o + 0*o wrt o.\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1788 = 4*p + 344. Suppose 3*l - 4*t - 237 = -t, 5*t - p = -4*l. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3806000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 134450 to the nearest 1000.\nAnswer: 134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1\/q)\/((q\/q**(1\/24))\/q))\/(q**(-3\/10))**(-44) assuming q is positive.\nAnswer: q**(-1579\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50037\/10 or -5003?\nAnswer: -5003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*i + 89*i + 335*i - 7718 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 342046128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -129*p**5\/5 - 307*p**3\/6 - p**2\/2 - 317*p. What is the second derivative of q(u) wrt u?\nAnswer: -3096*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/809 - -1640\/8899. Let r = -0.03 + -2.97. What is the second smallest value in g, 2\/7, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1225*q = -40305 + 15805 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/96*(-715)\/(-84). Let m = x - -1\/896. Sort m, -2\/3, -0.1 in decreasing order.\nAnswer: m, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13021320221 (base 4) to base 15.\nAnswer: -270a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (299\/(5467215\/636))\/((-2)\/(-30)).\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*r + 2*t, -53 = -5*r - 2*t - 35 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4510 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: Let w = -30 + 36. Let i be (-112)\/(-5) - w\/15. Calculate the greatest common divisor of 55 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -985 times -5\nAnswer: 4925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r + 8429 = 8513 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 6*x - 1. Let k be j(-6). Let u be (2 - 0)\/(k\/(-1)). What is the second derivative of -u*h**5 + 0*h**5 - h + 0*h**5 wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11003 by -98.\nAnswer: 11003\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 3, r: 5, y: 5, m: 5, h: 1}. What is prob of sequence hm?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -285. What are the prime factors of y?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*j - 8 = -83*j, -3*z + j + 4 = 0. Let x(m) = -m**3 - 4*m**2 - 7. What is the remainder when x(-7) is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 3. Let l be 100\/g*4\/(-5). Does 15 divide 76 + (l\/(-2))\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 10 = q. Let t(u) = u**3 + 4*u**2 + 2*u - 2. Let r be t(q). What is the units digit of ((-1)\/r)\/(2\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -3\/2*f**2 + 5 - 5*f - 2\/3*f**3. Let b(k) = 6*k**2 - 4 + 20 + 12*k - 2*k. Calculate 5*b(h) + 16*d(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13726854*c**2 + 26597027.\nAnswer: -27453708*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + i + i)*(-4*i + 5*i - 3*i) + 1 - 3*i**2 - 1 + 1723*i + 23*i**2 - 1723*i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1768 by 2.\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(4\/(-3))\/((-15)\/(1620\/24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by -10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 20 = -5*t, -557*t + 556*t = -5*l + 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 185095*b + 159145 with respect to b.\nAnswer: 185095","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 1, e: 4}. What is prob of sequence ce?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q. Let b(t) = -t**3 - 40*t**2 + 84*t. Let g be b(-42). Let l(x) be the first derivative of 0*x + g*x**2 + 10 + 2\/3*x**3. Determine l(s(z)).\nAnswer: 98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 1. Let v(m) = 139*m - 136. Let d(x) = -2*h(x) + v(x). What are the prime factors of d(6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 121, 453, 1105, 2185, 3801, 6061, 9073?\n\"Answer: 18*w**3 - 2*w**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -5 (c) -1 (d) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282073816?\nAnswer: 2, 983, 35869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 8*r**2 + 7*r + 12. Determine y(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162.2921 - 63.297. Let x = -99 + p. Round x to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -5 (b) -0.02 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 3*d = 10*a + 12, 4*a - d = 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11)**(-50) assuming c is positive.\nAnswer: c**(-550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148*g + 10*g + 463*g - g**2 to the form b*g + a*g**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8774 - -17263. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166980813 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: How many micrograms are there in 49\/5 of a milligram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 6, e: 8, y: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) 36 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -20086 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59c (base 14) to base 12.\nAnswer: -792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*c**9)\/(c**(-6)\/((c\/(c\/c**(-13)))\/c)) assuming c is positive.\nAnswer: c**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(432)\/((-2*sqrt(96))\/sqrt(8)))\/(5*sqrt(60)\/sqrt(5)*-4).\nAnswer: sqrt(3)\/40 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 3283955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -312.91 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 390640575 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -271051709.\nAnswer: -3\/271051709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297937108?\nAnswer: 2, 13, 29, 860701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(25)*2 + sqrt(25)))\/(sqrt(20)*1) + 2 + (2 + sqrt(500) + 0)**2.\nAnswer: 49*sqrt(5) + 506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -3\/2346938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 j when three letters picked without replacement from ddiwwajiii.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - z = -0*g - 9, 0 = -3*g + 5*z + 9. What is the units digit of g\/(-5) + (-3706)\/(-85)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 9 (b) 1\/4 (c) 0.3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30 (b) -12 (c) 9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -8 - 18) + (11 - 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((81\/72)\/(-9)). Is 152156\/n*(5 + -7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00063123 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 1. Let k(p) = p + 1. Let l(w) = -6*k(w) + u(w). Let o be l(-8). Let s = -2944 - -2999. What is the highest common factor of s and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 904061 to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1 + 4*u**3 + 7 - 12 + 3. Let x(b) = -9*b**3 - b**2 + 2. What is 5*o(m) + 2*x(m)?\nAnswer: 2*m**3 - 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -457*w + 452*w + 15, 4*w = -14*c + 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*d - 382*d = -6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -27*a**3 + a**2 + 2*a + 1. Let m be i(-1). Suppose 4*h = -t + 3*h + m, 4*h + 53 = 3*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 3) + 3 - -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7193*s**5 + s**3*t - s**2*t - 37*s*t + 224*s wrt s.\nAnswer: -431580*s**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 3*x**2 + 2*x - 2. Let i(q) = q**3 + 12*q**2 - q - 9. Let f(h) = -5*h - 2. Let l be f(2). Let p be i(l). Suppose p = -o + 2*o. What is t(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lleq when four letters picked without replacement from sesslllseeelqlae?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 38*c - 40*c - 7, 0 = 3*y - c - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210 (base 3) to base 6.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*5*(sqrt(2299)*-1 + -2))**2 + (1 + 5*1*sqrt(2299) + -1)**2)*6.\nAnswer: 165000*sqrt(19) + 8981100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -8.888146?\nAnswer: 44.44073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 36591. Let h(v) = -10*v**2. Give w(h(z)).\nAnswer: 30*z**2 + 36591","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 2:26 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5591 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9 - -1.1. Let q = -16.2 + 16. What is the closest to q in d, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1071 - 317. Calculate the highest common factor of r and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 4*h**2 + 3*h + 7. Let d be f(-5). Let k = 310 + -308. Find the first derivative of -10 - d*n**2 + 6*n**2 + 4*n**k wrt n.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11134462 is divided by 1759?\nAnswer: 1751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (214 - 214 + 22*k**5)*(-2 + 1 - 1).\nAnswer: -44*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 7 in increasing order.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11000000100100100 (base 2) to base 10\nAnswer: 98596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Let t(b) = -9 + 5 + 3 - n - b. Determine t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551008.\nAnswer: 2, 67, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 12 - (51 + -38) - -34?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29108 divided by 38\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -594 - 41a?\nAnswer: -9b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 20, -291 in decreasing order.\nAnswer: 41, 20, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 4. Suppose -3*g = -22*o + 19*o - 12, -25 = -5*o. Let a(r) = 4*r + 17. Let n = 2 + 0. Determine g*u(t) + n*a(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12017?\nAnswer: 61, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4448 + 6805. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/22 and (102\/(-54))\/((-56)\/60)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-3)*(126\/6)\/(-21)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s = 25*s. Let r(n) be the second derivative of s - 16*n - 1\/3*n**3 - 1\/15*n**6 + 3\/40*n**5 + 1\/84*n**7 + 1\/6*n**4 + 0*n**2. Factor r(u).\nAnswer: u*(u - 2)**2*(u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1547*l + 1552*l - 215. Solve l = 5*b + 48 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) 0.2 (c) -10 (d) -1\/3 (e) 287\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -124.19 and 226.\nAnswer: -28066.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 325*c*q**3 + 3*q**3 + 23 with respect to c.\nAnswer: 325*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) 15 (b) 0.08 (c) -4 (d) -2 (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1633909 divided by 6?\nAnswer: -1633909\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(72) + sqrt(72)*2) + -2 + sqrt(34)\/sqrt(2) + -5 + sqrt(17)*2.\nAnswer: -7 + 55*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 42483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10688 + -292.59225\nAnswer: 10395.40775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 3)*(16 + 2 + 1)*(-25*z**2 + 11*z**2 - 38*z**2) in the form l*z + a*z**2 + u and give a.\nAnswer: -2964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 312*p**2 + 268*p + 181851. Determine r(-313).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -624635 and -5?\nAnswer: 3123175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 70612531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -3\/25, -5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.95 + -1. Let x = 2.95 - r. Let y = 1 + x. What is the second biggest value in -0.02, y, -1\/3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 56*x**3 - 4*x**2 - x**2 - 55*x**3 + 4. Let p be d(5). Round p to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.7 (b) -1\/25 (c) 0.7 (d) -3 (e) -2\/5 (f) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40248.\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000220172 rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5524, 13748, 21970, 30190, 38408, 46624, 54838?\n\"Answer: -k**2 + 8227*k - 2702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7171.4039 + 7171. Round g to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 3 = -5*t. Let o = 9 + t. Let h(l) = -l + 7. Let w be h(4). Solve 2 = -w*s - o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -77, 4.\nAnswer: -77, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.80512 millennia in years?\nAnswer: 44805.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Suppose -4*a + 3*n + 0*n + 152 = 0, a + y*n - 27 = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65421421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-30)*-7*40\/(-70)*(-650)\/20\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -185*n - 180 wrt n.\nAnswer: -185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(119) + -2*sqrt(119)*3)\/(sqrt(77)\/(sqrt(11)*-2 - sqrt(11)))*-1)**2 + 3.\nAnswer: 3828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3299335 and 1315?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 929 divide 419618006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (33 - -23 - 14) + (0 - -4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**2 + 837*s + 834 = 0.\nAnswer: -278, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2 + 904160*n - 28931072 = 0. Calculate n.\nAnswer: 32, 452048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snss. What is prob of sequence ss?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106 bigger than 3746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 14 - 10)*(-2 + 1 + 3)*(1008 + 1202 - 1931)*(3*f**2 + 3*f**2 - 4*f**2).\nAnswer: -21204*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 393 + -383. Suppose -w*n + 6*n - 5248 = -2*z, 3*z - 7857 = 3*n. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52))**2 + -4 + sqrt(117) + 0.\nAnswer: 3*sqrt(13) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -968, 6, 5 in descending order.\nAnswer: 6, 5, -968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1816, 1817, 1818?\n\"Answer: f + 1815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 3*n - 1. Let k(l) = -16*l + 5*l**2 + 73 - 31 - 37 + 2*l**2 + 2*l**2. Determine -2*k(q) - 11*m(q).\nAnswer: 4*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuffuuufuu. Give prob of sequence fuf.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2329241, -4658493, -6987745, -9316997, -11646249, -13975501?\nAnswer: -16304753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 4*a**2 - a + 2. Let h be g(8). Suppose -2*q + h = 54. Is q\/2 + -4 + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229973585?\nAnswer: 5, 47, 978611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/26)\/((m**(-17)*m)\/m*m)*(m**(-3\/7))**(-1) assuming m is positive.\nAnswer: m**(2997\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000406797 rounded to 7 dps?\nAnswer: 0.0000407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02415 + -0.07585. What is the biggest value in 1\/3, -7, -2\/63, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6097, 6102, 6111, 6124, 6141?\nAnswer: 6162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -16*j**2 - j - 3 - 12*j**2 + 9*j + 20*j**2 + j**3. Let r be g(7). Let n be 2*r\/(-28) - 16\/(-7). Solve -2*o + 6 + 7 = 5*h, n*o = -4*h + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, m: 6, t: 3, c: 2}. Give prob of picking 1 m and 1 c.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -1.8. Let u = 19 + -12. Let x = u - 4. Which is bigger: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.4 (b) -3 (c) 36155 (d) 0.1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 1:41 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 + 6 + -3 + 2. Suppose 0 = -y - 0*y - 2. Let d = y - f. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*d**3 - 9763920*d**2 + 2*d + 11592246 wrt d.\nAnswer: 132*d - 19527840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 118*q**2 + q - 1. Let x(y) = -y**3 + 6*y**2 + 1. Let n be x(6). Calculate the remainder when p(n) is divided by 1\/(8\/32) - (-234)\/9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-15) + 20184\/(-16095) - 24\/(-3182)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*((sqrt(567)*2 - sqrt(567)) + 1) + 4*sqrt(567)*2 + 2)**2.\nAnswer: -162*sqrt(7) + 5110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2074161 to the nearest ten thousand.\nAnswer: -2070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s - 1. Let u be j(-1). Let t = u + -7. Suppose a = 32 + t. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36884466 less than 47723?\nAnswer: -36836743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 12*l = -8*l. Solve l*p - 8 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12220, 24413, 36564, 48661, 60692, 72645?\nAnswer: 84508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1059 - 15892\/15. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/5 - 66*i**2 - 6381*i\/5 - 16254\/5.\nAnswer: -3*(i + 3)*(i + 21)*(i + 86)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1422 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((225\/(-140))\/(35\/(-14)))\/((-540)\/(-126)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 12 + 11 = o, -5*o = -2*t - 27 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*t = -106*t + 22011. What is the remainder when t is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114555 (base 7) to base 14\nAnswer: -7865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -220 or -210?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/18*(-54)\/45?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060609783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69707 is divided by 142?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (2 + 4)) + 2. Let r be n - (115\/(-7) - (-6)\/14). Suppose t + 3 = 3*p - 4, 2*p - t = 3. Solve i + 3*m = -i - 7, 5*m + r = -p*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.087 and -0.116?\nAnswer: 0.010092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-25)*c)\/c)\/(c\/(c*(c**22\/c*c)\/c)))\/(c**(-19)\/c*c*c*c*(c**(-4)*c)\/c) assuming c is positive.\nAnswer: c**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*3)\/(sqrt(8)\/sqrt(2)*6) + ((1*sqrt(1008) - sqrt(1008))\/(sqrt(16)\/(sqrt(16) - sqrt(4))))**2.\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-11 - -2 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 933544837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z - 17 = 3*b, 4*z = b + 13. What is the third derivative of -34*m**6 + 58*m**6 + 4*m**3 - 4*m**3 - 3*m**z wrt m?\nAnswer: 2880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 641858777.0000061 - 641858667. Let b = 3 + -113. Let c = l + b. What is c rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4754*n - 375 = 4679*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*2\/(24\/(-93)). Let v = 22 - 14. Suppose t - 3 = -5*o + v, 2*o = -4*t + i. What is the highest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/1417657 and -3\/242039?\nAnswer: 9923599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2703\/10, 0.2, 0.5, -2\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*sqrt(343) - sqrt(343) - sqrt(343))*-2 + (2 + sqrt(343) + sqrt(343))*-4 + 2)**2.\nAnswer: 896*sqrt(7) + 22016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-2 + -4 + (-44)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.7 - -0.3. Let k = p - 1. Let w = k + -7. What is the second biggest value in 0.5, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12203300 (base 5) to base 10\nAnswer: 116075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3639 + 3631 = -667*s + 18713 + 4624 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - 4004?\nAnswer: -3654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 238*h - 3. Let p(k) = -475*k + 7. Let g(d) = 13*i(d) + 6*p(d). Suppose -n = 3*q + 1, -16*q + 14*q + 6 = -n. Does 35 divide g(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 12 + 6 = 181 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62729 - -44379. Let u be 2*(-3)\/21 - w\/35. Suppose -u = -3*r - s, -1 = r + 2*s - 179. Is r a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*a - 150*a - 31*a + 304*a**3 + 3*a**2 - 3*a**2.\nAnswer: 304*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w - 6. Give o(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10666547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1209, -1218, -1227?\nAnswer: -1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**2 - 117139750*x + 11054045.\nAnswer: 4*x - 117139750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*q + 22, 4*p = -3*q + 6 + 14. Calculate the lowest common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 7) to base 2.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a - 2. Suppose 0 = d + 5*h - 36, 4*h - 93 = -4*d + h. Suppose 2*c - d + 5 = 0. Let l be p(c). Is l equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (300\/3 - 7) + -6 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 469 and 3286003.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -0.9. Let f = 2.21 - 2.71. Let z = 0.03 + -0.13. Sort z, -3\/2, y, f.\nAnswer: -3\/2, f, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 6*m + 7. Let r be o(5). Suppose 0 = -r*s - 13 + 93. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/63? (a) 2 (b) -5 (c) -2\/3391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2647, -21636, -73181, -173560, -339051, -585932, -930481, -1388976?\nAnswer: -1977695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -817*w = 739*w + 482*w - 136546 for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/1*(1 + 0). Let a be (1 - j)*10\/5. Solve -a = d + 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(0\/(-5) + 2). Which is smaller: j or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 287\/245)*(-595)\/(-238).\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 455981116.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1626952, 1626954, 1626956?\nAnswer: 1626958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x*x**23*x))\/(x*(x\/(x\/((x**(-4\/3)*x*x)\/x))*x)\/x))**29)**(-16) assuming x is positive.\nAnswer: x**(35728\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-15))\/(10\/(-75)). Let u = -7 + m. What is the highest common factor of 8 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.34 + 0.06. Let n be (1 - (-7)\/(-5))*-5*1\/4. Which is the closest to n? (a) -1 (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*y**3 - 36*y + 5*y**3 + 6*y**3 - 6*y**3 wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 3, -1370, -2\/53?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -7.06. Let y = t + -0.04. Is -1 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + -7. Let s = 31 + w. Suppose 2*k + 3*f = -6 + s, k + 21 = 5*f. Sort 3, k, -10 in ascending order.\nAnswer: -10, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 18*m**2 + 76*m + 225. Calculate the remainder when y(-3) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 5:15 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 34. Let f(k) = -13*k - 7. Let o be f(-11). Calculate the highest common factor of q and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07 take away -2257329.4429?\nAnswer: 2257330.5129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, 0.44, -72, -2\/377.\nAnswer: -72, -12, -2\/377, 0.44, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 2, 2*s - 4*d = -2. Let i be s\/3 - 152\/(-57). Suppose 0*j = 2*j, 2*r - i*j = 12. Calculate the smallest common multiple of r and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -261498 divided by 3\nAnswer: -87166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 276 - 3*k**4 - 277 + 3*k**3 + k**4 + 0*k**3 - k**2 + 2*k to the form x*k**4 + i + p*k**3 + a*k + s*k**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j**3 + 7*j + 27*j**3 - 15*j + 9*j.\nAnswer: 5*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 6. Suppose -5*l + 16*s - 31 = 12*s, 5*s - 20 = 0. Let u(g) = g - 5. What is l*u(f) - 2*w(f)?\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -0.3, 5, 19\/3, -0.4855, 8 in increasing order.\nAnswer: -0.4855, -0.3, 4\/7, 5, 19\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 267\/36 - (1 - 2) and 79\/46.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 13*s - 2. Let j be k(6). Solve d - j*g = 23, -3*d + 4 = g - 0*g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.034 - 0.434. Which is the biggest value? (a) l (b) -3 (c) 25 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 4*o + 4*o)*(3*o**3 - 5*o**3 - o**3) + (2 - 3*o**2 - 2)*(4 + o - 4)*(2 - 3*o - 2) to the form u*o**4 + z*o**3 + d + k*o**2 + a*o and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a millisecond in microseconds?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, -27, -107, -187?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2*6\/36.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 254 - 597. Let b = -203 - l. Suppose 42 - b = -2*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 371 - 644. Let u be (-2 - -1) + 480 + -3. Let k = q + u. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 + 17. Suppose 0 = -10*w + 203 - 153. Let x(t) = -5*t**2 + 25. Calculate w*x(j) - 7*v(j).\nAnswer: -4*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.895843 litres to millilitres.\nAnswer: 895.843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/2 - 29214*i**2 - 36166464*i + 2122119732864.\nAnswer: 3*(i - 13576)**2*(i + 7676)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53724959.\nAnswer: 53724959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -2) + -96 + 108?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (22 - 79 - -48).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -127 + 211 + -78?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219922, -439849, -659778, -879709, -1099642?\nAnswer: -1319577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**5\/60 + j**4\/24 + j**3\/6 + 4*j**2. Let y be v(-2). Suppose -3*i = y*w + 2*w - 15, -4*i = 0. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*f**2 + 8*f**3 + 8*f**2 + (0*f + 0*f - 2*f)*(-3 + 3 - f**2) + (f + 0*f + f)*(f - f + f**2) + f**3 - 2*f**3 + 2*f**3.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 604990 and 20?\nAnswer: 1209980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - 1*sqrt(70))\/sqrt(10) - sqrt(7))**2 - (sqrt(7) - (-3 + -2*sqrt(7)))**2.\nAnswer: -65 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1238873 divided by -613\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 27?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.6632 + 88?\nAnswer: 77.3368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 441, 1633, 3593, 6315, 9793, 14021, 18993?\n\"Answer: -v**3 + 390*v**2 + 29*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 229, 92, -4, -2, 4?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m + 5*b - 1074 = 0, 3*b + 1432 = 4*m. Suppose -61 = a - m. Is a + ((-4)\/(-2) - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p - 16. Suppose 4*s + 3 = -i - 2, 4*i + 3*s - 6 = 0. Let z be g(i). Solve z*k + 5*j - 16 = k, 5*k = -5*j + 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, f: 3, x: 9}. Give prob of sequence xfx.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/7 (b) 5\/91 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2992829909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l = 12. Suppose 13 = 2*y + 3*y + 2*n, -4*y - l*n + 9 = 0. List the prime factors of -2 + 39\/(y + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1472\/5 at most as big as -295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1174 - 3530?\nAnswer: -46a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 0 (c) 3\/2 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (77*2)\/((-4)\/(-6)). Let b be (-223)\/(-4683) + 2\/7 + (-62)\/(-3). What is the highest common divisor of p and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 964 = 2*v + 2*u - 1376, 0 = -u. Calculate the remainder when v is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11024825 is divided by 291?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6054*w - 4962 - 19134*w + 4961 + (0 + w + 0)*(-1 - 2 + 4) + w - 2*w - w + (-2 + 2*w + 2)*(0 + 1 + 1) to the form o + u*w and give u.\nAnswer: -13077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*t**3*v**3 + 2715370*t**3*v**2 + 168178*t*v**3 - 2 wrt v.\nAnswer: -78*t**3 + 1009068*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5780241 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 greater than or equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 - 192 = -162*f + 157 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -4 + (10 - 6) - (-13 + 10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -35820.94?\nAnswer: -35816.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - p**2 + 11*p**2)*(17*p**2 - 5*p**2 + 12*p**2 - 2).\nAnswer: 336*p**4 - 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(-21*l + 21*l - l**5) + (1 + l**5 - 1)*(3 - 5 + 5).\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.17 and -1.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/1060996287?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 bigger than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 75\/4 of a gram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 2\/7 (c) 39 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, c: 9}. What is prob of picking 1 s and 2 c?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/3 - 8\/(5 - 3). What is the closest to 1 in d, 3\/2, -1\/7, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -17. Suppose -6*d + u = 2. Determine l so that 3*l**d - l**2 + 14 - 13*l - 7*l + 36 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whfxxxthxhxhx. What is prob of sequence xh?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 2*k**2 - 2*k**2 + (-949*k - 33*k**2 + 949*k)*(-5*k + 0*k + 2*k) - 2*k**3 + k**3 + 2*k**3 in the form x*k**2 + o*k**3 + r + c*k and give o.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26479979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*y = -73*y. What is the nearest to y in 3\/5, 0.5, -5, -87?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 2:13 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4522, -4683, -5112, -5941, -7302?\n\"Answer: -22*c**3 - 2*c**2 - c - 4497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/141 and 73\/14688?\nAnswer: 690336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*z + 32 = 0, 5*c + 0*z = z - 16. Let w = 5 + -36. Let t = w - -34. Sort t, 1, c in ascending order.\nAnswer: c, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4671698 is divided by 1167790?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8064 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.89542 litres in millilitres?\nAnswer: 19895.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**3 + 125*c**2 - 98*c + 32. Let b(s) = -s**3 - 31*s**2 + 25*s - 8. Let a(r) = -9*b(r) - 2*k(r). Determine a(28).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*w - 8*w - 17, 5*m - w = -2. What is the biggest value in 1, m, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 11*o**2 + 10*o - 3. Give s(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6016.52 to the nearest 100.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15*-1)\/((-35)\/(-700))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857 is divided by 123.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 5*w**3\/3 + 3*w**2 - 8*w - 70. What is the derivative of h(l) wrt l?\nAnswer: 10*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -2\/21 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5828990849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*w = 7203, 21*s = 19*s - 2*w + 3598. Is s a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 460\/30)*(-84)\/(-16). What is the greatest common factor of 63 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 307 - -1?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*a = 2*a + 20, 0 = -3*f + 5*a - 54. Let u = f + 18. Let c(p) = p**2 - 4*p - 2. Let m be c(5). Solve -y = 3*q + 7, -q = u*y + m*q + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231*k**5 - 1544*k**2 + 940*k**2 + 111*k**5 + 2*k**3 wrt k.\nAnswer: 20520*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.48 + 0.22. Let r = f - -0.45. Let l = r - 0.59. Sort 5, -4, l in descending order.\nAnswer: 5, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3173215329 to the power of 1\/2, to the nearest integer?\nAnswer: 56331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24957 = -14*n + 70719. Suppose 4 - 1 = -i - 2*q, 3*i = -4*q - 1. Suppose -v = i*v - n. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 16*u - 26. Let y be d(2). Solve -4*l = 3*n - 0*l + 6, y*l = 5*n - 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -265, 25\/36?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -240?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 31*m**2 - 5*m + 2. Let s be t(2). Let g = -181 + s. Let x = -61 - g. Solve -3*y + 7 = -x*f, 2*f + 5*y + 11 = -12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-6) - (46 + -1). What is the units digit of l\/(-10) - 2\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5009.659 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in -0.4, -0.6, -8\/9, 2?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.07404\nAnswer: 0.014808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(11) + sqrt(2200)\/sqrt(2) + sqrt(1584) + sqrt(1584) + -1 + -6*((1*sqrt(44)\/sqrt(4))**2 + (sqrt(11) - (-1 + sqrt(891))**2))).\nAnswer: -316*sqrt(11) + 21140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, 52, 82, 112?\n\"Answer: 30*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103 + 4?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.9 - 1.02. Let k = r - 1.88. Let i = 43.8 - 44. Which is the biggest value? (a) 0.3 (b) i (c) k (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4015 by -40.\nAnswer: 803\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55bc1 + 7?\nAnswer: 55bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218 (base 10) to base 8.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/18 (b) -2\/3 (c) 1\/8 (d) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiii. What is prob of picking 2 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -514*q - 881*q - 3 + 4 + 766*q to x + p*q and give p.\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -46*l**3 + 5*l - 19. Let t(p) = -23*p**3 + 3*p - 9. Let r(b) = 3*f(b) - 5*t(b). What is the first derivative of r(w) wrt w?\nAnswer: -69*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.03 (b) 1\/4 (c) -68 (d) 5 (e) -3\/8 (f) -0.4 (g) -6\/103\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/(-10) + 15\/(-25). Suppose 2*o = -3*w + 14, -d*o - 4 = -2*w - 0*w. Calculate the highest common factor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 3)*-1 - (0 + -7). Let v(x) = x**3 - 4*x**2 + 3*x + 5. Calculate v(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*a + 743 - 189 = 0, 3*a = 4*m - 2055. What is the smallest common multiple of m and 24?\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4563443 (base 7) to base 13\nAnswer: 16c769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -18894981\/16 and -1180937 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 3. Let h be z(-5). Solve -3 = -5*c + h*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716 = 163*b - 96 - 6977 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**6\/120 + t**5\/120 + 8*t**3 - 39. Let w(x) be the third derivative of m(x). Give w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 432, 382, 298, 180, 28, -158?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 7*g - 4. Let y be r(6). Let u be (9\/6)\/((-3)\/(-8)). What is the third derivative of u*n**3 - 2*n**2 - 4*n**3 - y*n**5 wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.99123\nAnswer: 0.495615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9174718 divided by 78?\nAnswer: 4587359\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4751\/19 - -250. Let n = 3144 + -119489\/38. Let i = s + n. Sort i, 0.5, 0.3 in decreasing order.\nAnswer: 0.5, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.973 + 0.027. Which is bigger: c or 6\/25?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 9) to base 11.\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wssw. Give prob of sequence ws.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.90955 + 0.01705. Let k = -1.9 + v. What is k rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/3645 and -19\/17827695.\nAnswer: 17827695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 770039 or 769145?\nAnswer: 769145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 17321877?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 17*r = -5, 0 = -3*y - 2*r - 25. Let l = 7 + -2. Calculate the remainder when (2\/1)\/((-1183)\/133 - y) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/17)*(i\/(i*i*i\/(i**31\/i)*i*i)*i)\/i)\/(((i*i**(-1\/23))\/i)\/i**(-2\/85)) assuming i is positive.\nAnswer: i**(50754\/1955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4626?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 19 + 32 + (-2 + 2 - 1)*(-5 - 1 + 4))*(1 - 1 + 5*d)*(1 - 5 + 5) + 4*d + 5*d + 3*d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/11 + 119\/(-11). Let f = k + 10. What is the units digit of (f - 1\/(-1)) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4312842, -1\/5, -0.1 in ascending order.\nAnswer: -1\/5, -0.1, 4312842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from rzrjrrurgrrrrrr.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + -0.69. Let w = -19 + 18.86. Let x = -0.06 + w. Which is the second smallest value? (a) x (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10212112 (base 3) in base 16?\nAnswer: -b06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -115.52 and -95236?\nAnswer: 95120.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -14*p - 9. Suppose -8 = 4*w, -3*u + 3*w = 1 - 13. Sort u, 6, p.\nAnswer: p, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) -0.43 (c) 1\/3 (d) 44 (e) -4257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2478778 is divided by 79960.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-40)*14\/(-21)*12\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = x. Let i be 4 - 2 - -3 - x. Let n(b) = 9*b**2 + 11*b - 11. Let s(u) be the first derivative of -u**3\/3 - u**2\/2 + u - 43. Give i*n(v) + 22*s(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.964 - 16. Let v = q - -0.346. Let s = v + -0.51. Which is the third biggest value? (a) 2\/19 (b) s (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from oxkyyyhhokoyhhyke.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1, 0.7, 1\/5, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 - 1291*q**2 + 6901*q + 88960. Calculate u(640).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37199, 51281, 65363?\n\"Answer: 14082*w + 23117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*i**2 + 1\/7*i**4 + 1\/7 + 0*i + 0*i**3.\nAnswer: (i - 1)**2*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/5*-19 - 6\/(-30). Suppose s*l + 20 = 8*l. Solve -4*r - l = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/15 or 5904?\nAnswer: 5904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, d: 2, y: 4, o: 1, a: 3, t: 3}. Give prob of picking 2 f and 1 o.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -143152 (base 6) in base 4?\nAnswer: -3111230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 72 = 3*p. Suppose -2*n + 4*o - 20 = 0, p*n - 14 = -0*o - 5*o. List the prime factors of 6\/12 - 31\/n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222722 to the power of 1\/2, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 3107*w**5\/20 + w**3\/3 - 524*w**2 + w + 332. What is the second derivative of o(p) wrt p?\nAnswer: 18642*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-338)\/(-110) - 3)\/(6\/(-15)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/12818 and 73\/14.\nAnswer: 89726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3648, 7298, 10948, 14598, 18248, 21898?\n\"Answer: 3650*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 152, 144, 132, 116?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56657246 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155336 is divided by 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 9\/(-3) + 3. Let b = 1 - w. Let j be ((-1)\/b)\/((-2)\/(-10)). Let s(p) = -p + 7. What is s(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + o. Let l(n) = 6*n**2 - 6*n. Let y(s) = 11*k(s) + 2*l(s). Let t(p) = 5*p**2 - 2*p. Give t(q) - 4*y(q).\nAnswer: q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 20403*y + 6. Let k(p) = 40818*p + 15. What is 5*a(x) - 2*k(x)?\nAnswer: 20379*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3288, 13154, 29600, 52626, 82232, 118418?\n\"Answer: 3290*z**2 - 4*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -6. Let x be 5 + 9 - 1*t. Let v = 19 - x. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/((sqrt(44) - sqrt(11)) + sqrt(11)) - (2*sqrt(175))**2.\nAnswer: -700 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2057) + -3) + 4 + -2 + sqrt(2057) - -5*(0 + 1*(-2*sqrt(2057) + sqrt(2057))))*4.\nAnswer: -308*sqrt(17) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 5, 1027, 4 in decreasing order.\nAnswer: 1027, 5, 4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 + -1.02. Let d = 0.7 - -0.3. Let r = f + d. Which is bigger: r or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.9738823 + 0.133.\nAnswer: -14.8408823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11071 = -4*h + 2665. Suppose -h = -5*l - 2*v, 4*l - 3909 = v - 1167. Suppose -l = -5*w + 969. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -500 from -169415.\nAnswer: -168915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -13*p + 468. Let x be y(34). What is the highest common factor of x and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168157 is divided by 370.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2)*(-4*a + a + 2*a) - a - 5 + 5)*(5 - 2 - 1)*(1 - 1 - 27*a)*(2*a**2 - a**2 - 3*a**2).\nAnswer: -324*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q)**(-4\/33)*(q**(-1))**(1\/5) assuming q is positive.\nAnswer: q**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 41592*x + 29. Calculate m(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 328.8 and 33\/16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -85, 2.\nAnswer: -85, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 5*s + 7. Determine q(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07928423 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6267*b**3 - 5*b**2 + 3*b**2 - 12*b - 6268*b**3 + 15*b + 3. Determine i(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 96\/(-32)*-5*(-4)\/(-240). Suppose 0 = -2*h - r + 3, 3*h + 4*r = 4*h - 6. Let -y*w - 1\/4*w**h + 0 = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*d - 2, -2*t = -3*d - 2 + 9. Suppose 0 = -0*c - 4*c - 4*j - 8, 10 = -5*c - 3*j. Let f be c*(5\/6 - 1). What is the closest to 2 in -2, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-527 - 105 - 355*z**2 - 372*z**2 + 723*z**2)*(-2*z**2 + 3*z**2 + z**2).\nAnswer: -8*z**4 - 1264*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24779 is divided by 167?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2979421 is divided by 167.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 8 + 34*r**2 - 31*r**2 + (-3*r**2 + 3*r**2 + 2*r**2)*(-6 + 6 + 4) to u*r + f*r**2 + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2337 = 32*q - 32*q + 57*a, 3*q - 166 = -5*a + 24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18799*r + o - 80 = 18815*r, r + 3*o - 44 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91308 and 1344.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 39*q - 2. Let o be g(1). Suppose 58*u = 64*u - 726. Suppose 138 = 7*s - u. Is o greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-13)*d**(-17\/2))\/((d*d**5)\/(d\/d**22)))**45 assuming d is positive.\nAnswer: d**(-4365\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 0 = -4*q + 21, 3*q - 10 = 5*c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 231\/5*x**2 + 1\/5*x**3 + 46*x + 0.\nAnswer: x*(x + 1)*(x + 230)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*f = 8566 - 49142, 3*k - 30401 = -4*f. Let b = k + -243217\/24. What is the common denominator of 71\/33 and b?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3020*c**3 + 3022*c**3 + 18931*c - 18931*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + -16 + (23 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = -3*s. Suppose -10 = -3*j + 5*b + 13, -3*j + 16 = s*b. Let t = j + 1. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 3) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7123782 and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/21, -1, 1.812, 1 in decreasing order.\nAnswer: 5, 1.812, 1, 2\/21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 1 + 41. Let r(v) = -v**3 + 9*v**2 - 9*v + 5. Let h be r(a). Let i = h + 5. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212466 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -49049, -27, 0 in ascending order.\nAnswer: -49049, -27, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 23 = 4*z. Suppose -z*w + 9 = -20*w. Suppose 0 = 4*i + 1 - 9, -w*l + 20 = 4*i. Solve -17 = -p + l*t, -p + 17 = -5*p - t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -754.973155 to two dps.\nAnswer: -754.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 18*i + 54 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uugvpguvupgvuvvvupv. What is prob of sequence up?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 14*d. Let a(k) = 11*k - 15. Let u(h) = -13*h + 16. Let i(o) = 5*a(o) + 4*u(o). Let l(j) = j - 4. Let w(n) = 4*i(n) - 11*l(n). What is w(c(r))?\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 344, 1, 371, 175, 3 in descending order.\nAnswer: 371, 344, 175, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 88849402?\nAnswer: 44424701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/17028765 and -179\/291090.\nAnswer: 34057530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 7 - 31 = 0. Let k = -5754\/11 + 521. Calculate the common denominator of (-8)\/s*(-1 - 36) and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 64558 - (4 - (-24)\/(-3)). Let d(i) = -i**2 - a + 64562. Let q(z) = -2*z**2 + 11. What is q(d(t))?\nAnswer: -2*t**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*i + 45*i - 8*i)*(-6*i - 2*i**4 + 6*i) + (i - 2*i - 3*i)*(3*i**4 + 4*i**2 - 5*i**4 - 5*i**2).\nAnswer: -108*i**5 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 0)*(2 + 11). Suppose 18*m = t*m + 15. Suppose -2*b + 54 = -5*s, m*s + 0*s - 108 = -4*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1066 and 2501.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(612) + sqrt(17)*-1 + -2)**2 + (sqrt(425) + -3 + -5 + sqrt(17) + -1)*1.\nAnswer: -126*sqrt(17) + 2084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**2 - 2*p**2 + 4*p**2)*(p + 6*p - 2*p) + (3*p + 3*p - p)*(-8*p + 8*p - 7*p**2) + 4*p - 4*p - p**3 as m*p**3 + x*p**2 + i*p + a and give m.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 171, -2, 10, -4, -5 in increasing order.\nAnswer: -67, -5, -4, -2, 10, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10334985, -10334979, -10334973, -10334967, -10334961?\n\"Answer: 6*j - 10334991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/3)\/((-1)\/(-3)). Suppose -g*w + 3 = -w. Suppose 205 = 5*i - 4*s, 0 = -3*i + w*s - s + 121. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 9, -294*y + 4*k = -298*y + 68 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134509491 a multiple of 2911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/9*(-6)\/(-4). Let s = 28 - 24. Let c be -7 + ((-1482)\/(-18))\/13. Sort -5, r, c, s in decreasing order.\nAnswer: s, r, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.31635 to one dp.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4251, 4216, 4177, 4134, 4087, 4036?\n\"Answer: -2*o**2 - 29*o + 4282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25890 + -29483.9. Let y = -3449 - h. What is y rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -2, 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 16 = 5*v, 86 = 3*r - 4*v - 0*v. Calculate the least common multiple of 10 and r.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 5948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 + 2*z + 1. Let l(q) = 0*q - 517 + 508 - q. Let a be l(-8). What is h(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 26*u**2 + 8*u. Suppose -236 = -2*r - 4*p, 5*p - 17 + 156 = r. Let l = 121 - r. Let g(c) = 8*c**2 + c**2 + 0*c + 3*c. Give l*t(q) + 8*g(q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 104589566*f*s - 71555718*s with respect to f.\nAnswer: 104589566*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -9. Let f(a) = a**2 - 10*a - 1. Is f(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 48692 = -2*c, c - 10224 = -v - 488. Let n be -1 + 3 + -6 - (0 - 7664). Let m = n + v. What is m rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/859 + 1712\/2577. What is the second biggest value in q, -0.05, 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73416957919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 6*s**2 - 8*s - 19. Let u be w(-6). Solve 3*n + 0*n - d = 19, -5*n = -d - u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/293370 and 41\/909447?\nAnswer: 9094470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Give g(21).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2 and 45\/454.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 2:28 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, x: 8, u: 2}. What is prob of sequence ucx?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptwttczppcctcccz. What is prob of sequence pt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 5. Let x(y) = -y + 2. Let k(r) = 5*x(r) + 2*z(r). What is k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522\/33 - 4 - (-12)\/66.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4*j - 28, -3*f + 1 = 3*j + 4. Suppose -56 = -f*o + 7*o. Let i be 6\/10 + o\/(-35). Is 2\/7 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a8e8 (base 16) to base 15\nAnswer: 2236b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x + x)*(0*x - 3*x - 12*x)*(x**2 + 0*x**2 + x**2).\nAnswer: -30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/12672 and -85\/34848?\nAnswer: 139392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 722562*z + 243606 with respect to z.\nAnswer: 722562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 5\/151 (c) 0 (d) 2\/7 (e) -2 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(81\/(-12))*-3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0*b. Suppose 2*q = -b - 2. Is q < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 17. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 - 2 - (39 - 45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136785 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 89.62898 weeks?\nAnswer: 54207607104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 7*h**2 - 3*h - 16. Let c be z(-7). Suppose 2 = -c*q + 27. Solve -q*o = 1 + 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*u - 3147, 199*u = 2*s + 197*u - 3182. Calculate the least common multiple of 176 and s.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4}. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, j: 1, i: 1, w: 3, q: 3}. Give prob of picking 1 i and 2 q.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.15 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.6 + 99.6. Let w = 3049085 - 3049167.00265. Let x = d + w. Round x to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -112, -263, -474, -745?\nAnswer: -1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9667 - 2667. What is u rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*u - 0*u. Suppose -u*g - 2*g = -176. Is g\/3*(-6)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 27. Let r = 0.05 - -7.95. Let q = r - 9. Which is greater: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 183 and 43384.\nAnswer: 7939272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4\/197, -0.3, -0.2 in ascending order.\nAnswer: -0.3, -0.2, -4\/197, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 29*n + 3. Let u be m(1). Let x = u + -33. Which is the third biggest value? (a) 1\/4 (b) x (c) 2\/19 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -16*g**2 + 0*g**3 + 0 + 0*g + 1\/30*g**7 - 7\/20*g**5 + 0*g**6 + 0*g**4. What is the third derivative of j(z) wrt z?\nAnswer: 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpibzzpzaazizai. Give prob of picking 1 i and 1 z.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**3 + 2*k**2 - k. Let f be p(1). Suppose -3*s + 4*s = 4*o - 15, -3*o + f = -4*s. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - u**3 - 3 + (3*u + 0 + 0)*(-4*u**2 + 2*u**2 + 0*u**2) + 0 - u**3 + 0 - u**2 + 2*u**3 + u - u to x + t*u**2 + f*u**3 + m*u and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 701202?\nAnswer: -701205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 633477003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**4 + 32*s**3 + 1036*s**2 - 13112*s + 34848 = 0. Calculate s.\nAnswer: -18, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200687544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*d - 23. Let h be 0\/((-3)\/(4\/d)) - 0. Is h > -3\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 - 85. Let l be (9 - 8)*(j - -4). Solve -l - 3 = -2*s, 0 = -2*n + s + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 820743.8 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032672 times -8?\nAnswer: -0.261376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d - 3. Let o be m(3). Let v = -44 - o. Let t be 34\/(-2) - -6*6\/(-9). Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1933 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 + 0.43. Suppose -10 = -7*v - 3. Put 4\/7, -3, f, v in decreasing order.\nAnswer: v, 4\/7, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1218 and -77\/58.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11989?\nAnswer: 19, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from dnncndcdndcdddnndn?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 - 6*c + 3*c**2 + 88.\nAnswer: 3*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -508 + 1012. What is the greatest common factor of 288 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74707012 rounded to 3 dps?\nAnswer: 0.747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 - 12?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.96 - -2.96. Let g = 57.46 + -57.66. Suppose 4 + 1 = 5*i. Which is the closest to g? (a) x (b) -5\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**2 - 10*o - 1. Let h be y(-10). Let c = h - -983. Suppose 611 = 5*a - 2*t, -8*a + c = -4*a - 5*t. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 + 24?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(143) - -1*sqrt(143))*-2 + sqrt(143) + 2*(sqrt(143) - -1*sqrt(143)))\/((-2*sqrt(891) - sqrt(891))*5).\nAnswer: -1 - sqrt(13)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 679246.1840156 - 679246. Let z = 0.184 - j. What is z rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/d**(1\/5)))\/(d*d\/(d**6\/d*d)))**(-45)\/((d**(-1\/4)\/((d*(d\/d**(-3))\/d*d)\/d))\/(d**(2\/7))**(33\/4)) assuming d is positive.\nAnswer: d**(-3847\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-7) + (-8)\/28. Solve x*p + 0*p = 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.544140546 take away 22?\nAnswer: -23.544140546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 + -46. Let n be (-192)\/(-9)*b\/4. What is the units digit of (-1300)\/(-11) + n\/(-176)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a factor of 811111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3277*d**2 - 4*d + 3. Let o(t) = t**2 + t - 1. Let c(m) = n(m) - 5*o(m). Is c(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 57547961 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 16. Let d(z) = 27. Let h(f) = -37. Let m(w) = -4*d(w) - 3*h(w). Suppose 10 + 1 = -l. Calculate l*m(r) + 2*c(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10))\/((-44)\/10)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 24 + 54 = 0. Let u(q) be the first derivative of 6 + 0*q - 5\/3*q**z - q**2. What is the second derivative of u(k) wrt k?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-1)*(-36)\/48. Let w = d + 38. Let b = 10 + 50. What is the highest common factor of w and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -0.5 (c) 2\/9 (d) -1\/3 (e) -64 (f) -119\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-23)*q*(q**(-16\/5)*q)\/q*(q**(-35))**(-18\/13))**(8\/5) assuming q is positive.\nAnswer: q**(12616\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*p**2 - 1 + 0 + 5*p**2.\nAnswer: -44*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -31. Suppose g*p - 226 = 8*p. What is the tens digit of (-1)\/7 - p\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -28*m + 239. Which is bigger: 42 or m?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3844*c**3 - 3853*c**3 - 5*c**2 - c**2 + 5*c**2.\nAnswer: -9*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:57 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110 (base 4) in base 14?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 7788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 2, b: 1, o: 1}. Give prob of sequence cb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8837000 rounded to the nearest 100000?\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((146\/(-2))\/(-146))\/(2*3\/(-492)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22264 by 5566.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + a + 4*a = -17, 2*w = -3*a - 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32785750667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkddkdd. What is prob of sequence dk?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1750463*c**3 + 1205500*c**2?\nAnswer: -10502778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 15 = c - 2*y, 2*c - 22 = 4*y. Let u(i) = -4. Let o(b) = -b. Let d = -47 - -46. Determine c*u(q) + d*o(q).\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33 + -6?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 1. Let l(z) = 2*z**2 - 2. Let n(g) = -4*l(g) + 7*o(g). Let r(b) = -2*b**2 + b + 3. Give 3*n(c) - r(c).\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, 3, 0.5, -77, 61, 1 in decreasing order.\nAnswer: 61, 4, 3, 1, 0.5, -13, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.141468 years to centuries.\nAnswer: 0.02141468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 478510*j**3 - 4 - 5 + 6.\nAnswer: 478510*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5*(sqrt(500) - sqrt(500)*3)*-3 - ((sqrt(500) - (sqrt(500) + -5 + sqrt(500)))*3 + 0)) + 2)**2.\nAnswer: -11880*sqrt(5) + 544824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 39*g**2 + 456*g + 7. Give h(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b**2 + 709*b + 66. Does 7 divide u(-110)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d996 (base 14) in base 16?\nAnswer: -5d950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*t - 16 = 19, 10 = -2*t. Let p(d) = 3*d**2 - d - 29. Is p(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(17))**2*-4*-2.\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -39)\/(6\/4). Let a be p\/(-10)*20\/3. Solve 2*f + 5*h + a = -6, 3 = 5*f - 2*h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y. Let s be (-1)\/1 + 42\/6. Let b = s + -3. Let p(d) = -3 + b - 2*d**2. Calculate g(p(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -70707, -281685, -632913, -1124385, -1756095?\n\"Answer: i**3 - 70131*i**2 - 592*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1932000 and -191\/1932000.\nAnswer: 1932000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 50*c**2 - 19*c**2 - 15*c**2 - 18*c**2. Suppose -5*i + 3*q + 14 = -i, -24 = -4*i - 2*q. Let l(s) = 3*s**2 + i*s**2 - s**2. Calculate u(l(p)).\nAnswer: -98*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7411 + -4891. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 1. Suppose -t*r = 3*g - 0*g + 21, -g - 11 = 3*r. Let n(k) = -k**3 - k**2 + 2*k - 1. Let v be n(-2). Do v and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2488 = -5*c + 12618. What are the prime factors of c?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3970\/(-17865)*(1\/(-2))\/((-10)\/6)*21?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10913869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -222?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22541, -22531, -22529, -22535, -22549, -22571?\n\"Answer: -4*m**2 + 22*m - 22559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2 - -1) + 5)\/((-34)\/51). Let i(z) = -2*z - 7. What is i(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t**2 - 6*t**2 - 7*t**2 - 2*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f**3 - 17*f**3 + 3 - f**2 - 1 + 3*f**3 in the form x*f**2 + o*f + n*f**3 + l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 10*r**2 - 5. Let g be s(5). Let t be (-3)\/3*110\/g. What is the greatest common factor of t and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l - 2*s = 14, -l - 2*s - 6 = 0. Suppose -76 = l*i + 44. Let n be i\/(-18) - 2\/6. Solve 0 = -r - g - 2, 4*r + 1 + 21 = n*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (4 - 3) - ((51 - 151) + -2 + -14)\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126881?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -382?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50987753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1)\/2*-6. Is r\/(-12) - (-355)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32423 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116214, -116221, -116240, -116277, -116338, -116429, -116556?\nAnswer: -116725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 235 - 213. Solve 5*x = c - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 377.87 - 378. Which is the nearest to 2? (a) 2 (b) 2\/3 (c) o (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -89347367610.\nAnswer: 89347367613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9214 at most as big as -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = -5*v + 2, 2*c + 2 = 0. Let u(z) = 8 + 2 - v - 10. Let d(p) = 2*p + 4. Suppose -5*o + 3 = -2*o. Calculate o*d(w) + 4*u(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38481056?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-497)\/(-213) - (1 + 3 + 0)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - w - 11*q + 70, 2*q + 845 - 1595 = -5*w - 887 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 222*z - 2734. Give y(11).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (-10 - -12) + 7. Solve -3*o = o + q, 4*w + 1 = -o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444*u**2 - 139*u**2 - 160*u**2 - 150*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 36*s**2 - 36*s - 32. Let w be t(-35). Let y be -3 + 5 + (-8 - -8). Solve -y = w*z - z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.00536384 and 769.79055.\nAnswer: 769.79591384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77050 - -114166. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = w + 10. Find the third derivative of w*m**2 - m**2 - 5*m**2 - 2*m**6 wrt m.\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138539200 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5377510 or -5377515?\nAnswer: -5377515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.5174921 months to decades.\nAnswer: 0.0126457675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-32 + -6 + 58).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000117302 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 5*w + 6 = -11*b, -2*w = -4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/14 + (-25)\/((-1400)\/91936). What is t rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by -57.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-12 - -2) + -3 + 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1180\/885)\/(4\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89429957 equal to -89429957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from {s: 4, f: 2, e: 4, g: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22510, -22512, -22514, -22516?\nAnswer: -22518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/85 and -121\/680?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Let l = 0 + s. Put l, 3, 4 in ascending order.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/4613 in -0.3, -5, -3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**8\/112 - 31*c**6\/20 - 633*c**4\/8 + 263*c**2. What is the second derivative of t(i) wrt i?\nAnswer: 60*i**3 - 1116*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.5 + 1.7. Let k = l + 7.8. Let a = -9 + 8.7. What is the second biggest value in k, -15, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1768683324 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -1) + (-2 - ((-7 - -4) + 6))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 98*f**2 - 409*f - 786. Determine i(53).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 + 3*w**2 + 0*w**2)*(3 + 3 - 4)*(-63 - 14*w + 63) to o*w**2 + x + g*w + k*w**3 and give k.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4 + 20\/5)\/(-2))\/2. Suppose 11*q + 20*q - 1488 = k. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 13*n**2 + 5*n - 7. Is f(3) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3718 divided by 13\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - -24. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 4, 5, -4, -17 in descending order.\nAnswer: 5, 4, 1, -4, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2. Let d(v) be the third derivative of -13*v**4\/12 + 7*v**2. Calculate d(h(a)).\nAnswer: 52*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-1365)\/26)\/21)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.1. Suppose 0 = -2*w + 19 + 41. Let l be (-168)\/90 + (-4)\/w. Which is the nearest to h? (a) -1\/6 (b) l (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -7.\nAnswer: -7, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 489 - 489. Let x(a) be the second derivative of 0*a**3 + 0 + 1\/6*a**4 + a + 0*a**2. What is x(j(f))?\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 + 20*u + 5. Let r(g) be the first derivative of 4*g**3\/3 - 21*g**2\/2 - 6*g + 8745. Determine 6*b(a) + 5*r(a).\nAnswer: 2*a**2 + 15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121254 is divided by 143.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -21*y**2 + 7*y - 4. Let u(w) = 20*w**2 - 6*w + 3. What is -3*d(j) - 4*u(j)?\nAnswer: -17*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j**2 + j - 13. Let v(d) = -2*d**2 + 3. What is -2*h(c) - 9*v(c)?\nAnswer: 4*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/102*(252\/(-27))\/(-7)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100100101000001000001 + 1?\nAnswer: -100100100101000001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z + 35290 + 6446 = 99*z. What is the smallest common multiple of z and 740?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2261, 2145, 2029, 1913?\n\"Answer: -116*z + 2377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 274463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(-2))\/(10\/26980) is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9734 + 9739. Sort -143, p, 15.\nAnswer: -143, p, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-310)\/217*(306\/(-850))\/((-9)\/(-30)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 9:32 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 2, -5, -3\/13?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -85) + (72 - 74) + (17 - -1)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 72. What is y(-8)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 528751757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3413 (base 5) to base 11.\nAnswer: -3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8304.656 + 8326. What is u rounded to zero decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.683425ml?\nAnswer: 0.000683425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 698 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13607791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -11*b**3 - 7*b**2 - 5*b + 9. Let c(v) = -16*v**3 - 10*v**2 - 7*v + 13. Let i = 321 - 314. Calculate i*k(u) - 5*c(u).\nAnswer: 3*u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-15))\/(-8)*(-6)\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/22)\/((-25)\/(-70400)*128)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.009222 and -2085.\nAnswer: -2084.990778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 96*t + 100*t - 20 = 0, 4*p = 5*t - 23 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5 + 22 - x - 11 + 0*x. Let g be s(13). Let f(p) = 6*p - g*p**2 - 8*p + 2*p**2 - 1. Give f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20387, -20403, -20423, -20447, -20475, -20507, -20543?\n\"Answer: -2*c**2 - 10*c - 20375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (154\/42)\/((-4)\/(71 - -1)). Which is smaller: v or -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 11:52 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -139948 (b) 3\/58 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.066 * -0.2229167\nAnswer: -0.0147125022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**4\/12 + 3*v + 2. Let u(h) be the first derivative of m(h). Let q(o) = -3*o**2. Give q(u(c)).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, -5, -4, -174, -22 in descending order.\nAnswer: -1, -4, -5, -11, -22, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**3 - 2*q**2 - 4*q - 13. Suppose -208*z + 520 = -248*z. Let r(g) = 0*g - g**3 + g**2 + 2*g + 6 - g**3. Give z*r(w) - 6*b(w).\nAnswer: 2*w**3 - w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 72940350*i + 72940347.\nAnswer: 3*(i + 1)*(i + 24313449)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 111010010010001101?\nAnswer: 111010010010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 21 + 11 + 4*v)*(0*v**3 - 4*v**3 + 3*v**3)*(5 + 3*v - 5).\nAnswer: -12*v**5 + 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13181? (a) -0.1 (b) -1\/2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {u: 1, d: 1, h: 1, w: 1, l: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205991586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-121))\/(60\/22)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.4413767 rounded to 1 decimal place?\nAnswer: -21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*a - 2*a + 46*a - 4*a**2 - 5)*(-5*a**2 - 2*a**2 + 10*a**2).\nAnswer: -12*a**4 + 12*a**3 - 15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 12:50 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -3 (c) -2\/11 (d) -1506\/11 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5004 is divided by 297?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.04 - -17. What is v rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -3*i**4 + 5*i + 43. Let n(t) = -33*t. Give k(n(j)).\nAnswer: -39204*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 6*p + p)*(183 - 30*p + 27*p + 203).\nAnswer: 6*p**2 - 772*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.81 + -14.11. Put -3, -0.4, -2\/3, k, 31 in decreasing order.\nAnswer: 31, k, -0.4, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 12\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.02454 + -0.02454. Let a = 2 + -1.7. Put -2, k, a in ascending order.\nAnswer: -2, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129594159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1036, -4976, -14736, -33226, -63356?\nAnswer: -108036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 298 - 300. Suppose -12*j = -16*j + 8. Sort j, u, 20.\nAnswer: u, j, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 36441 = c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 bigger than 275\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/477, -251, -2?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 - 41. Suppose -4*g + 5*t = -163, t = -4*t + o. What are the prime factors of g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80539, 160348, 240157, 319966, 399775, 479584?\nAnswer: 559393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 58 - 80 = 3*n, n = 5*v + 5*n + 119 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 - (-13 + -6 + 17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k - 107. Calculate i(-23).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1)\/((-49)\/7 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 = 4*x, 0 = -2*q + x - 6*x + 7. List the prime factors of (-40)\/q*6\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.71? (a) -0.1 (b) -1\/4 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 9*p**2 - 569*p + 569*p)*(3 + 1 + 5).\nAnswer: -81*p**2 - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 18*m**2 - 15*m.\nAnswer: -3*m*(m - 5)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 112147 - 236982 = 0. Does 50 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 7*i - 6. Let y = 65 - 101. Let f = -17 - y. What is the remainder when f is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30246.99385 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 a factor of 53678496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l + 4*z + 6, 3*l + 14 = -5*z. Suppose -3 = 5*p + l. Let i be (-4)\/12*15*p. Sort i, 2, 3 in descending order.\nAnswer: i, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6799987 to the power of 1\/2, to the nearest integer?\nAnswer: 2608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 - 6*l + 3. Let b(f) = 36*f**2 + 48*f + 1. Let z(u) = 19*u**2 + 25*u + 2. Let o(p) = -4*b(p) + 7*z(p). Give 17*a(v) - 6*o(v).\nAnswer: -2*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2157 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 9. Suppose k*p - 5 = 4*p, t + 3*p + 1 = 0. What is the common denominator of -85\/22 and (10\/t)\/((-27)\/(-51))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/(-156)*84\/(-2744)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(7\/3))**(-1\/93)*(a**(2\/25))**(-3\/11))**(-4\/17) assuming a is positive.\nAnswer: a**(17696\/1304325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 + 1)*(39*o**2 + 283 - 283) + o**2 - o**2 + 2*o**2 - o**2 + 0*o**2 - o**2 as d + b*o**2 + h*o and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 2*x**2 - 2*x**2 - 5*x - 3. Let t = 40 + -44. Let f be w(t). Sort 5, 2, f in ascending order.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119*s**2*t**4 - 11*s**2*t - 8*s*t**5 - 43*s*t**2 wrt t?\nAnswer: 2856*s**2*t - 480*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348576.\nAnswer: 2, 3, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, -201.6, -13, 4, 0.1 in decreasing order.\nAnswer: 4, 0.1, -5, -7, -13, -201.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44\/(-6))\/(3\/(-54)). Suppose 0 = 5*b - 5*l - 297 - 63, -2*b + r = 4*l. What are the prime factors of (-36)\/(-30)*b\/3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o - 4. Give d(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*i - 4 = 0, -5*i - 17 = 2*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.03746l in millilitres?\nAnswer: 67037.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1, -1785, 2\/5, -7.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 18292, 3, -2\/5, -3\/2, 11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 134782367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22\/9 - 35\/18. Let h(t) be the first derivative of -1\/3*t**3 + 0*t**2 + m*t**4 + 1 + 0*t. Find the third derivative of h(g) wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268145?\nAnswer: 5, 53629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35424)\/3690)\/(16\/(-60)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004241669852 rounded to 6 decimal places?\nAnswer: -0.004242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.255 to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + (36 - 32 - -15).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9730 and 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159 + 154. Let a = -4.99744 - n. Round a to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/12*102\/578.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 140217365 - 5?\nAnswer: 140217360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42158 is divided by 40328.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**5\/70 + 11*l**4\/21 - 20*l**3\/3 + 200*l**2\/7 + 13849*l. Suppose u(p) = 0. Calculate p.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 37830.\nAnswer: -75660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 14*x - 29. Determine g(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20120 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 17 - 53 = 0. Let c = 272 + -173. Calculate the highest common factor of d and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42044?\nAnswer: 2, 23, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 119669995 to the power of 1\/2, to the nearest integer?\nAnswer: 10939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 5*j + 3. Let v be c(-4). Let f(t) = -t + 1. Determine f(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 93*h**2 - 651*h + 555.\nAnswer: 3*(h - 5)*(h - 1)*(h + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 3*a**2 - 15*a - 15. Let x be d(6). Let w be x - (-4426)\/(-1896) - 8\/12. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2849 - 2849.4. Sort f, 1\/3, -0.14 in increasing order.\nAnswer: f, -0.14, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 4753?\nAnswer: 23765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 - ((-5000)\/15)\/10. Let k = -33 + g. Suppose -3*c + c - m = -524, k = -5*m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 65*p - 50*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/7)\/l**(-5))\/(l**4\/l**(-2\/9)) assuming l is positive.\nAnswer: l**(58\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 151*a**5\/15 + 193*a**4\/8 + 11*a**2 + 39. What is the second derivative of z(d) wrt d?\nAnswer: 1208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/11)\/k**(1\/17)*(k\/k**11)\/k**(-9\/4) assuming k is positive.\nAnswer: k**(-6113\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*y**3 + 22*y**3 - 5*y**3)*(-29*y - 97 - 3*y + 93) as l*y**2 + d*y**3 + h + j*y**4 + c*y and give j.\nAnswer: -1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -i + 5*l + 2, l + 47 = 5*i. Which is bigger: 10 or i?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/((p**(-7)\/p)\/p)))\/p*p*p**(2\/5)\/p*(p**(-2\/9))**(-5\/16))**(-7) assuming p is positive.\nAnswer: p**(26537\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 1, p: 1, u: 1, c: 2}. Give prob of sequence su.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbhh when four letters picked without replacement from {b: 2, h: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-11 - -8)) + (-3 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssyr when four letters picked without replacement from rrkveksssrykvvr?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 114 - 254. Suppose t = 3*t - x. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4218795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 + 4 + 41*h**3 + 5*h + 15 + 179*h**3 - 18 as k*h + a + v*h**2 + p*h**3 and give p.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -166*d + 868362 + 624144. What are the prime factors of d?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4dc (base 15) in base 2?\nAnswer: 10001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -940 + 939.539. Let x = 0.039 - n. Suppose -2*l + l = -4, -u = -3*l + 7. What is the smallest value in x, 2, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 740798*j**3 + 10*j**2 - 4. Let x be q(5). Suppose v = -5*i - 3*v + 115750008, -x = -4*i + 2*v. Round i to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76\/95 - (-5)\/25. What is the nearest to 3\/20 in -0.1, c, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 312\/22 + (-64)\/352. Solve 4*x - 2 = -s - f, 0 = 3*x + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 - l - 1. Let z = 17 - 15. Calculate i(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 15*c**2 + 5*c - 14. Suppose -2*y + 11 = i - 4*y, -3 = -i - 2*y. List the prime factors of j(i).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 t when four letters picked without replacement from tddtdttdddd.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2 - r. Let n be (-1)\/2 + (-6)\/(-4). Let a be j(n). Suppose 0 = -3*p + 15, -a*i - p + 32 = 3*p. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/1*(-990)\/8250*(-30)\/(-14)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*w - 19 + 7, -w + 1 = y. Suppose n - 3 = -w. Suppose -21 = -i - 0*j - 5*j, 5*j - 13 = -3*i. Sort n, i, 2 in descending order.\nAnswer: 2, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*z = 3*w - 3, 3*w + 23700 = 3*z + 23703 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5678, -22783, -51298, -91229, -142582?\nAnswer: -205363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 31 = 5*z, 76*z - 71*z = 2*y - 52. Solve y*n - 24*n - 7 = -2*q, -6 = -2*n + 4*q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Find the first derivative of -3*r**3 - 9 - 1 + 2 + x*r**3 wrt r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 8:51 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -34. Suppose 0 = -q*h + h + 528. Is 26 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3648 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/(-28))\/(3\/(-2)). Let i = 0.288012 - -0.011988. What is the second smallest value in 90, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (29 + (-44 - (30 - 49)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 266, 134?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*r**3*v - 27*c**3*r**3 + 102*c**3*r**2*v - c**3*r**2 + 11*c**2*r**3 + c**2*r**2*v - c**2*r**2 wrt r?\nAnswer: 12*c**3*v - 162*c**3 + 66*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -239256833*u**3 - 983204*u**2 - 84 wrt u.\nAnswer: -1435540998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 9*d**2 - 9*d - 4. Let v be p(-8). Suppose v*k - 5*z + 10*z = 1203985, -602003 = -2*k + z. Round k to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(-1*sqrt(16)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(102))\/sqrt(3)*4)\/(sqrt(2) + sqrt(24)\/(sqrt(24)\/sqrt(2)) - -3*sqrt(50))*4.\nAnswer: -48*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -4313.\nAnswer: -21565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 203?\nAnswer: -1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43995 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 705383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 4:01 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21791 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 2*z + 3. Let c be l(-4). Let t = -2600 + 2583. Sort c, t, -0.1 in descending order.\nAnswer: -0.1, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f + 6. Calculate l(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 101, -20685, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 14) to base 11.\nAnswer: 32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + t**2 + 22*t - 61. Let u be f(4). Let q(c) = -c**3 - 22*c**2 - 38*c - 21. Let l be q(u). Calculate the highest common divisor of 252 and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 5. Determine q(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 + 5. Calculate the remainder when t(0) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 3\/(-30)*-38. What is the nearest to -0.2 in i, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 19622*g - 3. Give b(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -43559823843 from 27201.\nAnswer: 43559851044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 e, and 1 q when three letters picked without replacement from {n: 1, q: 2, b: 1, k: 1, i: 2, e: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*o = -3*t + 5, 4*t - 13 = -o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (7 - 10)) + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001744 to seven dps.\nAnswer: 0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 - 66. Solve a = 3*t - 5*y + 40, t + 15 = 2*t + 4*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -184\/3*g**3 + 22 - 4\/5*g**5 - 24*g**2 - 13*g**4 + 288*g. Factor d(u).\nAnswer: -4*(u - 1)*(u + 2)*(u + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -12 + 4 + 3 - l. Let w be o(-9). Suppose -m + 52 = -3*d + 8, 0 = -3*m + w*d + 117. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -398548, -398546, -398544, -398542, -398540, -398538?\nAnswer: -398536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.0217, -1\/4, 2\/379, -3?\nAnswer: 2\/379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (2 + -55 + 95)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 1, -0.08, -154\/27, -3, 4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -324917*j - 32. Let o be x(-4). Suppose o = 45*i - 9*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30845906*u**3 + 35001546*u**2 - 2*u wrt u.\nAnswer: -185075436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 99417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 168 + -168.2. Let i = -8\/3 - -31\/15. Let f be 3\/(-10) + (-1)\/2. What is the closest to 2\/5 in i, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82\/(-12) + ((-1225)\/42)\/(-35)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + 4*n + 3. Let o(k) = -4 - 4*k + 0 + 2 + 2*k**2. Let w(d) = 5*o(d) + 4*s(d). Suppose -4 = 5*z - 14. Give w(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 v, and 2 w when four letters picked without replacement from fwihwivm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/22? (a) -3 (b) 2 (c) 4\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5987.2522 rounded to the nearest 10?\nAnswer: -5990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 - -12?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (142\/(-42) - -3)*(-28)\/(-24). Sort d, 2\/11, -0.7 in decreasing order.\nAnswer: 2\/11, d, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + k - 13 = 0, k + 50 = 5*o - 3*k. Let y = -29 + o. What is the tens digit of (y\/(-2))\/(4\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*j - 2, -5*m = -3*m + 3*j. Let a(q) be the third derivative of -q**5\/60 - q**4\/3 - 2*q**3 - q**2. Let g be a(m). Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 650, 1463, 2614, 4115, 5978, 8215, 10838?\nAnswer: 13859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(4\/5)*i*i\/(i**10\/i*i) assuming i is positive.\nAnswer: i**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000079428 to 7 dps.\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -7, -0.2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23092\/3 equal to 7696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/7, -1\/3, 16, 3\/5, -4760 in increasing order.\nAnswer: -4760, -1\/3, 2\/7, 3\/5, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*-1 + 1\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194294 less than 2137250\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 + 11.1. Let y = s + 32.2. Let v = y - 41.999916. What is v rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 358a (base 12) to base 11\nAnswer: 4574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5624.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = 2*d - 193, s = -4*d + 381. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/((-45)\/360).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5698 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 14. Suppose 0 = 2*t - 5*t - r. Let v be (-11 - -1)*1\/t. Solve v = -w, b = 4*w - 3*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6013 - 2*g + 1417 + 3*g + 2868 - 4*g to q + z*g and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 840*v - 877*v = -543, -4*p + 4*v - 76 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iopkipiiiiiiopii. What is prob of picking 1 o and 1 k?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 19 = -2*x. Let t = 30 + x. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/10223 - -10217\/30669. Let b = 0.1 + -0.1. Sort a, -0.6, 3, b.\nAnswer: -0.6, b, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.6634 or -52?\nAnswer: 0.6634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 1:23 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 556558416.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 2*c**2 - 33*c - 82. Determine y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 366*o + o + 4.\nAnswer: 367*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2 - 2388*o - 475212 = 0 for o.\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-44) - 26\/(-22)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -643 <= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78.28 - -79. Let u = o + -0.82. Let v = 0.2 + -4.2. Which is the closest to 1\/2? (a) v (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) -17 (b) 157 (c) 2\/11 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1189096 kilograms in grams?\nAnswer: 118.9096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(1*sqrt(143) + sqrt(143)))\/(1*sqrt(11)*3).\nAnswer: -2*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + l = 77, r - 100 = 6*r - 5*l. Let o be (r\/2)\/((-3)\/6). Let p = o - -7. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/8 or -58079?\nAnswer: -58079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6103205 + -5?\nAnswer: -6103213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(3*(6*(-2 + sqrt(1300)*1 + sqrt(1300)) + -1))**2*-3.\nAnswer: -505440*sqrt(13) + 30353778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/7, 3\/8, 0.09, 0, -487, 3, -52?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*q)*(-4*q - 2*q + 3*q)*(2*q + q - q) - 4*q**3 - q**3 - 10*q**3 + (6*q - 3*q + q)*(4*q - 2*q**2 - 4*q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -6)\/(-4) - 0. Let j(l) = 3*l. Let a(b) = 6*b - 1. Let z(w) = t*a(w) + j(w). Let p(q) = -q. Give p(r) + z(r).\nAnswer: -4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4473227 divided by 5.\nAnswer: 4473227\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*l - 12, -v + 0 + 12 = l. Solve -21 + 21 + l*h**2 - 4*h**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 1090*c**2 + 4300*c - 83127. What is n(-1094)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449 a factor of 1149708510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 23*b**2 + 499*b + 2943. Determine i(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108905, 871200, 2940289, 6969572, 13612449, 23522320?\nAnswer: 37352585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66208, -264842, -595900, -1059382?\n\"Answer: -66212*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 61 (b) -0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52363602 or 52363619?\nAnswer: 52363619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**2 - 5*h + 11. Let q(y) = 4*y**3 + 2*y**2 - 3*y + 9. Let i be q(-3). Let c = i - -83. Let o(n) = -3*n**2 + 2*n - 4. What is c*o(l) + 4*u(l)?\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h - 3. Let g = 2 + 0. Let b be i(g). Suppose 3*u = 4*a - 487, -a = -0*a + b*u - 118. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 2 - 1 - 2) + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7 or -3.46?\nAnswer: -3.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 155526, 622116, 1399774, 2488506, 3888318?\n\"Answer: i**3 + 155528*i**2 - i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 805 - 760. Let c be 1056\/108 + 10\/v. Solve -4*w - c + 1 = -f, 0 = 5*f + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 10 = 2*s, s + 3*v - 4 = -19. Suppose 2*h - 888 = -4*f, -4*h + 14*f - 13*f + 1767 = s. List the prime factors of h.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 7, l: 4, z: 2, j: 1}. Give prob of picking 1 j and 1 z.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26717.27 litres to millilitres.\nAnswer: 26717270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2724 = 318*x - 259*x - 423 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 12:29 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2459*y + 5 - 2 + 2*y**2 - 2429*y + 8*y**3 as f*y + s*y**3 + t*y**2 + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-195)\/(-104))\/((-15)\/80).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 2*w - w)*(-4 + 4 + 2 + (2 + 2 - 3)*(5 + 0 - 1) + 2 - 6 + 0) as i*w + u and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v + 12723 = -47181. Calculate the greatest common factor of v and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8933254 + -0.1239\nAnswer: 8933253.8761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002485 rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(10\/(-12) + 406\/348)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*k*w + 3*d*w**2 - 177*d + 2*k**2*w - 285*k*w**2 with respect to k.\nAnswer: -2*d*w + 4*k*w - 285*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -758.2 - -757.2. Let h = 8.3 + -8. Which is the closest to g? (a) h (b) 10 (c) -0.5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5148608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6*c + 40 = 0. Suppose -7*m = -c*m - 10. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1089*a**2 + 3216*a - 9. Let l(o) = 3268*o**2 + 9643*o - 30. Let r(d) = 3*l(d) - 10*u(d). Find the second derivative of r(v) wrt v.\nAnswer: -2172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.024 + -26.976. Let i = j - -27.3. Put i, 0.1, -4 in ascending order.\nAnswer: -4, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 1614 + 1751. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 a, and 1 n when three letters picked without replacement from {l: 3, n: 2, y: 1, a: 3, u: 3, w: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 172*a - 216 wrt a?\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3*k - k - 36, -2*j + 44 = 4*k. Calculate the remainder when 31 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*(-28)\/1232*-56*(-12)\/14.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1332)\/(-180)*((-108)\/1296)\/(3\/60).\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*p = 203*p - 51548078. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -39, -28, -1, 48, 125, 236?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/15)*y\/(y**(2\/9)*y)*y)\/(y\/(y\/(y**(-2\/21)\/y*y))*y*y**(2\/7)\/y) assuming y is positive.\nAnswer: y**(143\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 19 = 2*j, 2*j - 2 + 8 = 0. Calculate the greatest common divisor of m and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*n = -0*o - o - 177*n + 3, -2*n - 144 = -48*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10) - 16\/(-10). Suppose 0 = 4*i + 3*g + 15, -m*i = g + 2 + 7. Let v(p) = -p**2 - 7*p + 3. What is the remainder when 25 is divided by v(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1541\/522 - 2\/261. Find the common denominator of c and 47\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 1.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -16*l + 1073. Give r(67).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.35065824 to 2 dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 0.32\nAnswer: 2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j + 137. Let t be (-5 + 1)*2\/(56\/21). Let o(p) = 7*p - 138. Let k(d) = t*o(d) - 4*m(d). What is the derivative of k(l) wrt l?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 7. Let r = -84 + 89. Give h(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12, -0.16, 2\/3, -2.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nun when three letters picked without replacement from {u: 5, p: 7, n: 3, q: 1}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 549 and 2574?\nAnswer: 157014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37567, -37565, -37559, -37549, -37535?\nAnswer: -37517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1327, 2226, 3725, 5824, 8523, 11822, 15721?\nAnswer: 20220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, i: 2}. What is prob of picking 1 i and 1 o?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.20139336 to three decimal places.\nAnswer: -14.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5805 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**4\/3 + 3*f**3 + 35*f**2\/3 - 51*f + 110\/3 = 0?\nAnswer: -5, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 l, and 1 w when four letters picked without replacement from aljwfjwjaw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -714, -713, -712, -711, -710?\n\"Answer: v - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -19a?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 13*x + 4. Let h(g) = 3*g + 1. Let i(p) = -9*h(p) + 2*v(p). Let b be i(7). Let o(t) = -t + 1. What are the prime factors of o(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*y = 52*y + 16. Which is greater: y or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + (2 + -5 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7233*w**2 - 50628*w - 10. Calculate o(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28951009, -57902018, -86853025, -115804030?\n\"Answer: p**2 - 28951012*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*f - 3 = 0, -f + 9 = 3*v - v. Solve -6*p - 1 = -4*i - p, -2*p = v*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 12:19 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (14 + 0)\/2. Let x be -2 + (-327)\/(-165) - l\/44. What is the nearest to -2\/7 in x, -13, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24718 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 637*g - 638*g - 75*g**2 - 208*g**2 to the form l + k*g**2 + w*g and give k.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -153 - -298. Suppose 0 = 8*a + q - 2465. Suppose 0 = -15*m + 17*m - a. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 29. Suppose 2*v + 2*r = 10 + x, -3*v + r + 33 = 0. Calculate the lowest common multiple of 9 and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -110001001010001011 (base 2) to base 5\nAnswer: -22420410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 6175*n + 2048*n + 2061*n + 0 + 2065*n.\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppgpppggpg. Give prob of sequence gg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/632 and (2\/(-4))\/((-57820)\/9960 - (-8)\/(-6)).\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-8)\/18)\/(36\/((-18)\/2))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43\/15 in 3, 5, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.012 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + (-328)\/48)\/(-16 + (-60159)\/(-3762)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 89*v. Let p(h) = 23 - 53 + 30 + 2*h. Determine r(p(y)).\nAnswer: 178*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -18*y**2 - 15. Let j(b) = b**2 + 1. Suppose 150 = 4*z + 5*g, 0*g = -5*z + 2*g + 204. Let f = -25 + z. Determine f*j(a) + p(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.09, -8\/5, -10\/19, 0.054, -0.5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*j**2 + 8\/7 + 10\/7*j.\nAnswer: 2*(j + 1)*(j + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.9, -5.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2, 4\/9, -71233, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 424310820, 424310818, 424310816?\n\"Answer: -2*f + 424310822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1923\/4 equal to -480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 3*p - 39. Is 12 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, v: 2, l: 3}. Give prob of picking 2 l and 1 e.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - ((-18 - -15) + 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 13*j**2 + 44*j + 26. Determine g(-9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2588542252.\nAnswer: 2, 463, 593, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36 and -43835?\nAnswer: -1578060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-128)\/(-1224) + (-2)\/(-17). What is the closest to 0 in -2, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*m + 743 + 42, m = 5. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*l - 485, -6*r + 2*l + 167 = -5*r. What is the highest common factor of r and 530?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162 - 132. Calculate the least common multiple of u and 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -1574 + 19*c + 1574 + 2*c**2. Let a(y) = y**2. Calculate a(j(g)).\nAnswer: 4*g**4 + 76*g**3 + 361*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71873? (a) -5 (b) 5 (c) -8 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*(5 + -5*sqrt(72))**2 - (1 + (sqrt(2)*-2*4 + (sqrt(66)\/sqrt(3))\/sqrt(11))**2)).\nAnswer: -3848 + 600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133145 - -133163. Calculate the remainder when t is divided by (-164)\/(-14) - 2\/(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 1070*w - 1074*w. Put 0, w, 78 in ascending order.\nAnswer: w, 0, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 28 = g + y, 4*y + 68 = 5*g. What is the remainder when 29 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*j - 31*j - 44*j)*(165*j**2 - 164*j**2 - 4*j - 2*j) to the form o*j**3 + y + g*j + f*j**2 and give o.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 + -0.76. Let s = u - -0.8. Let g = 9.2 + -9. What is the third biggest value in -0.5, g, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 1512243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-16)\/3 + 4 + 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*g - 1 + 76*g + 10*g + 463*g**2 as j*g + u*g**2 + i and give u.\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-27)*-3)\/(4\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 18*d**2 + 42*d + 14. Let y be m(3). Solve 2*p + 2*r - 14 = 0, 4*p - y*r + 6*r - 13 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**7\/84 - v**6\/60 + v**5\/40 + v**4\/24 - 8*v. Factor q(f).\nAnswer: -f**2*(f - 1)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 345.0193 + -345. Round z to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 517731306?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwxxxxwxxwx. Give prob of picking 2 x.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-7)*(-60)\/80?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2348\/40 - 3 - ((-7)\/(-110) + 96\/(-264))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 15. Let b = -3 - q. Suppose s = b + 7. What is the greatest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/310)\/(((-61)\/(-9) + 20\/90)\/7).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1034 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z = -0*z + 126. Suppose 0 = -2*r + z*j + 70, -13*r + 124 = -9*r + 2*j. Solve -v = 7*v + r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -131?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 21355718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2123 and 772.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = a + 10, 0 = -23*y + 19*y + 4*a + 16. Solve 0*h = 3*h + y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j**2 + 2*j**2 + 4*j**2 + 3*j**3 wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 248.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 8\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 927*u**2 + 899*u**2 - 1544*u**2.\nAnswer: 282*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -10, -65, -176, -361, -638, -1025, -1540?\nAnswer: -2201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*d - 90 + 612 = -646 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 + 8 + -4 - (2 + (12 - (-6 - -18)))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 278337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 45436 = -5*r, -r - 4*p - 6839 = 2238. What is r rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -317209 (base 10) in base 15?\nAnswer: -63ec4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7698?\nAnswer: 2, 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - u. Let q(m) = 780*m**3 + 655*m**2 - 6*m. Let a(v) = 6*b(v) - q(v). Find the third derivative of a(n) wrt n.\nAnswer: -4680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1070296, -1069815, -1069334, -1068853, -1068372?\n\"Answer: 481*h - 1070777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21 - ((-3492)\/(-1358))\/(9\/42)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288915 times -0.5?\nAnswer: -144457.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/85)\/(-1*(-8)\/(-30))*(-90)\/(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -356 - 342?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h**2 + 3*h - 1. Let d be p(2). Suppose d - 137 = -4*m. Let v = m + -10. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 4 (c) 16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1638*j + 433*j - 3607*j.\nAnswer: -4812*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 4*t - 2. Let z(d) = 117*d + 126*d + 127*d + 119*d - 490*d. What is a(j) + 4*z(j)?\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000049244 rounded to seven dps?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0.1, 300\/13, -0.2082 in ascending order.\nAnswer: -0.2082, 0.1, 12, 300\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/1 + (1\/(-5) - (-121)\/4235*707).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237 and 39579.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*k - 25. Let u = 85 - 94. What is the units digit of (u\/k)\/((-2)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 174 = 1. Solve 6*i - i = -j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -59\/4, 0.1, -1.59?\nAnswer: -1.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2401 + 52755\/22. What is the common denominator of -13\/222 and v?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 9:37 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b + 7 = 2*t, 3*t + 3*b = 9. Differentiate -53*z + 53*z - 29*z**t + 16 + 6*z**4 wrt z.\nAnswer: -92*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2743048 divided by 124684?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -750822, -752031, -753226, -754401, -755550?\n\"Answer: t**3 + t**2 - 1219*t - 749605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121.12 - 36.25. Let g = a + -87. Let z = g + 2. What is z rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2473*g*l**3*r*u - 376*g*l**3*r + g*l**2*r - 2*g*l*r - 3*r*u + 496 wrt l?\nAnswer: -14838*g*r*u - 2256*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 37278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3442 divide 2163295562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n**(-1)\/n))**47\/(n**(4\/5)\/n**(-1)))**(6\/7))**(-1\/37) assuming n is positive.\nAnswer: n**(-798\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15655 and 435815.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -4*r + 4*s + 33, 2*r + 5*s - 2 = 0. Suppose -5*x = 15, -p + 5*x + 81 = -0*p. Let q be (r\/(-6))\/(p\/8). Which is smaller: q or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 3*h + 7. What is the units digit of o(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -887, -274, 1355, 4498, 9653, 17318?\n\"Answer: 83*j**3 + 10*j**2 + 2*j - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.9448l in millilitres?\nAnswer: 261944.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1015*z. Let r(w) = 2*w. Calculate c(r(p)).\nAnswer: 2030*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/18)\/((-7)\/(315\/10))*-63?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1920 and 5833?\nAnswer: 7753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 272 = -2*m + 4*r, -4*m + r = 284. Let h = -71 - m. Is (4 - 1) + (h - -175) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 667, 2717, 6177, 11041, 17303, 24957, 33997?\n\"Answer: -i**3 + 711*i**2 - 76*i + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/171 in 3, 0.03, 0.3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2649 - -2649.9. What is the second biggest value in 3\/5, -2\/5, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -552.8 and 0.0287?\nAnswer: 552.8287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 2*l. Is t(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from ayikkmaqaaamamy?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeeeeeeueueeuueeuee?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11\/2 + 35\/6. Let v(u) = -u**3 + 5*u + 5. Let h be v(-1). Factor -4\/3*g - l*g**2 - h.\nAnswer: -(g + 1)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7716469 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) 5 (b) 1124 (c) 4\/16603\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*2)\/(6\/1245). Suppose -h - 3*q = -94, -8*q + 4*q + y = 5*h. Let v = 158 - h. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 248355 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 159.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-22))\/(73\/803))\/((-24)\/(-276))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1113102 + 3?\nAnswer: 1113110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 1156*v**2\/3 + 623968*v\/3 + 84198976\/3 = 0.\nAnswer: -4588\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + l + 1. Let o(s) = 3*s**2 - 4*s - 2. Let f(q) = -4*q - 40. Let n be f(-14). Let m be (n\/(-12))\/(2\/6). Calculate m*c(g) - o(g).\nAnswer: g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2\/103, 5, -3\/5?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.01, 4\/3, -1169.135?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 27. Suppose -a + 52 = 2*g. Let t = 28 + -12. Calculate the smallest common multiple of t and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 8*y = -2, -3*r = 3*y + 74 - 65 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-610)\/(-488)*8\/(-5). Which is the second biggest value? (a) 6 (b) p (c) -0.08 (d) 0 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - 2*z**3 + z + (-2 + 2 + 1)*(5*z**3 - 2*z**3 - 4*z**3) - 2*z**3 + 2*z**3 + 2*z**3 - 4*z + z**2 + 3*z + 5*z**3 - 6*z**3.\nAnswer: -2*z**3 + z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asagssgagggaggwggsag. Give prob of sequence wsas.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*p**5 + 64351*g*p**3 + g*p + 325937*p wrt p?\nAnswer: 20*g*p**3 + 386106*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + y + 1. Suppose -3*t + 21 = -5*n + 6, -6 = -t + 2*n. Suppose t = -26*s - 54 - 76. Let p(k) = 7*k**2 - 5. What is s*o(c) - p(c)?\nAnswer: -2*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 1:17 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 738 = 255. Calculate the remainder when v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - 2*n - n + (-n - 20*n + 260*n)*(-1 + 3 + 0) + 1 - 2*n - 1 as u*n + z and give u.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00126183 to 5 dps.\nAnswer: 0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 9*n = 22*n + 64 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5271224127?\nAnswer: 3, 13, 53, 2550181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 140 = -2*n. Suppose -w + 2*u = -150, -19*u + 15*u = 3*w - 480. Let x = w - n. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -5)*((-12344)\/(-588) + -21).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 317.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-18)*((-21)\/(-7) - 0)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r + 10. What is z(5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 + 2*r + 2*r - 5*r**3 + 0*r**2. Let i(z) = 2*z**2 + 86*z + 923. Let d be i(-22). Let h(k) = k**3 + k**2 - k. What is d*j(a) - 3*h(a)?\nAnswer: 2*a**3 + a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 15*v - 122. Calculate j(-13).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109 - 10 - 4)*(4*x**4 - 5*x**4 + 7*x**4).\nAnswer: -738*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 - 45\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) 1540 (c) 1 (d) 4 (e) -53 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2*v + 43406*h**2 - 247*h*v - 2*h - 2*v + 57492012 wrt h.\nAnswer: 4*h*v + 86812*h - 247*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*w**6 - 4*w**5 + 45832*w**3 + 459214628*w**2 wrt w?\nAnswer: -8280*w**3 - 240*w**2 + 274992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -263 + 251. Which is the third smallest value? (a) 1 (b) -2 (c) -1\/4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110955, 222237, 333519, 444801?\nAnswer: 556083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 761143581 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99 (base 11) to base 5.\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*i**2 - 5371*i + 5 - 5 + 41*i**2 + 5350*i as p*i + l*i**2 + x and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2. Let m(i) = 5527*i. Give b(m(v)).\nAnswer: 122190916*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139689 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1*(-7 + 16)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - x)*(8*x - 4*x + 3*x)*(-24*x + 1611 - 1611).\nAnswer: -168*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 - 4 + 441*i**2 + 2 + 432*i**2 - 755*i**2 to v*i**3 + q*i + w + h*i**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = -5*t, -10 = 4*q + 10. Suppose -19 = -5*g + t*k + 18, g - 17 = -2*k. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 5*n + 4. What are the prime factors of x(11)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 23*p**4\/24 + p**3\/2 + p**2. Let t be q(3). Suppose -5*c = 10 - 50. Calculate the greatest common divisor of c and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffftfffffftff. What is prob of sequence ft?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -35*f**3 + f**2 + f. What is r(1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*t**2 + 302 - 292 - 3*t**3 - 2*t**3.\nAnswer: -5*t**3 + 334*t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*m + 3*m + 3*p, -5*m - 5*p = 5. Suppose -4*z = -9*z. Solve m*s - 6 + 3 = z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 3 = -d. Let g(k) = -330002*k + 16. Let o be g(d). Round o to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1843\/(-123) + (-2484)\/152766?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 1\/5 (b) -0.1 (c) -2\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 1627*u**3\/2 + 1335*u**2\/2 + 347*u + 7. Differentiate p(j) with respect to j.\nAnswer: 4881","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65759, 263116, 592045, 1052546?\nAnswer: 1644619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 5.597 (c) 3 (d) 4 (e) 1 (f) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 17. Let k be b(-7). Let t(a) = 4*a - 7. Let l be t(k). Let s(u) = 5*u**2 - 7*u + 3. Is s(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 5*s**2 - 5*s + 4. Let h be d(-6). Let w be (-2 - (-1 - h))*1. Sort 1, w, 4 in increasing order.\nAnswer: w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 5. Let b = 4 + t. What is the units digit of (b\/2)\/((-3)\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*i**5 + 155*i**5 - 259 + 261 + (-2*i**3 + i**3 + 2*i**3)*(4*i - 4*i - i**2) - 3*i**5 - 2*i**5 + 3*i**5 + 1 - 2*i**5 - 1.\nAnswer: 96*i**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 16*o - 35*o - 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 65*w**2. Let n(x) = -5*x. Calculate h(n(p)).\nAnswer: 1625*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5186657 is divided by 4518?\nAnswer: 4511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 6 = -2*q, q = -4*u - 17 + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/22)\/((-1)\/(-2))*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 15*v - 84)*(-2*v**3 + v**3 + 2*v**3).\nAnswer: -15*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-15))\/((-2)\/(-10)). Let a = 103 + -101. Let p be a\/(-3)*(-3 + (-30)\/(-11)). Sort 0.7, p, i.\nAnswer: p, 0.7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k + 2. What is the remainder when 39 is divided by h(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2)*-1*1)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -50886986 divided by 6\nAnswer: -25443493\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1491 and 306081.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0247 rounded to one dp?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i - 100. Suppose 3*c + 3*p - 30 = -0*p, -4*p - i = 0. What is the remainder when 3 - (38\/6)\/((-19)\/114) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*z + 1. Suppose -a - z - 3 = 0. Does 16 divide (-2 + (-14)\/a)*18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8689289*h**5 - h + 1841859 wrt h?\nAnswer: 173785780*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 - 4*i**2 - 6*i - 10. Let c be l(-5). Suppose 9*a = 4*a + c. Is a a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26501 not equal to 26499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66202803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 386929 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 13. Let b be x(-9). Suppose 8*w = -2*w + 420. Let d be (-4)\/w - 264\/(-126). Solve -d*z + 3 = b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 2*i**2 - 2*i + 1. Let x be j(-3). Let u be 3 + x - (3 + -9). Suppose 27 = 5*o + u, 41 = 5*f + 4*o. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 3*x**2 - x + 1. Let u be y(2). Let d = -1 - u. Let v(q) = -q**3 - 3*q**2 + 2*q + 7. What is the units digit of v(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71? (a) -184 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 7:35 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1722*f + 198*f - 1119*f + 56*f.\nAnswer: -2587*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from {g: 1, l: 1, f: 1, v: 1, j: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 2:57 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 40. Suppose 62 = 4*q + 22. Suppose 5*i = q + z. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220\/(-363) - (-4)\/(-66).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3cb (base 13) to base 3.\nAnswer: -220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 142.\nAnswer: -45\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/18)\/(1\/3). Let y = d - -10. Let c(w) = -w**2 - 77*w + 244. Let k be c(3). Solve 10 = -k*r - y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence leg when three letters picked without replacement from lgzlelllj.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-945) + (-1121)\/(-798) + 41\/(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -6. What is the remainder when 26 is divided by (-18)\/(z + 1)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 6*p - 15. Let a be j(8). Let l(u) = 30*u - 3. Calculate the remainder when l(a) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147 + -84. Let j = v + -29. Let d be 44*-2*(-3)\/8. Is d bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 222.1 (b) -0.04 (c) -85\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 + 3*g - 1. Let s be ((-9)\/(-6))\/((-42)\/56). Let z be s\/((-2)\/11*1). Let b(p) = 7*p**2 - 5*p + 2. What is z*f(h) + 6*b(h)?\nAnswer: -2*h**2 + 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 7\/3*n**3 + 0*n**2 + 6 + 0*n - 3*n**4. Find the third derivative of d(u) wrt u.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 65520?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138\/155 - 9\/31. Let x be (-3726)\/(-1564) - 3\/((-12)\/(-10)). What is the third biggest value in 3, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - -4 - (-3 - 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 122 = -0*l. Suppose -2*g + l = f, f + 4*f - 277 = -3*g. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -500 + 497. Let n = -3.02 - -3. Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 27*c**2 + 60*c + 55. Calculate g(-29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 15*s - 122*h - 456, 2*h = 5*s + 1529 - 1560 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 31. Let x = z + -13. Let j = x - -4.9999933. What is j rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 47\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a hour in minutes?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 622737 or 622738?\nAnswer: 622737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -13*q - 5 + 5 + 11*q. Let i(j) = j**2 + 2*j. Let x(v) = v**2 + 5*v. Let a(k) = 5*i(k) - 2*x(k). Determine c(a(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) -9 (c) 2\/13 (d) 3 (e) -1\/26 (f) 67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h + 2*h - h - 4*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -2*c - c. Let y(k) = k**2 - 46*k - 747. Calculate the remainder when c is divided by y(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -70370, -140736, -211102, -281468, -351834, -422200?\n\"Answer: -70366*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + 0*a**4 + 3*a**4)*(2*a - 1 + 1) + 4*a**5 - 3*a**5 + a**5 + 0*a**5 - 2*a**5 + 0*a**5 - 3 + 2*a**5 + 157*a**4 - 62*a**4 - 93*a**4 + 2*a**3.\nAnswer: 6*a**5 + 2*a**4 + 2*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -5, 2, -32?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8 - 70*x - x**2 + 4 + 63*x. Calculate the least common multiple of 5*(22\/5 - 2) and l(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8047\/11 - -731. Is r <= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/521390 and -45\/28.\nAnswer: 7299460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a + 17. Let d(r) = -r - 4. Let n(v) = -9*d(v) - 2*t(v). Let l be 30\/(-20)*(-4)\/3. Does 2 divide n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -17.1. Which is the nearest to 2\/3? (a) -0.4 (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -63, -7253 in descending order.\nAnswer: -9, -63, -7253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 + 109. Suppose 5*z + f = 16, 5*z = -u*f + 13 - 5. What are the prime factors of (z\/(-5))\/((-22)\/2255)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**9\/3780 - c**7\/630 + c**4\/12 + 3*c. Let t(x) be the third derivative of d(x). Find the third derivative of t(k) wrt k.\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from ggegeregpepeegrgger.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8456.\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1788987 and 49913.\nAnswer: 2627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1245*355.\nAnswer: 441975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/82200 and 41\/42.\nAnswer: 575400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245a (base 15) to base 12.\nAnswer: -4587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 9*n**2 - 16*n - 3. Let k be a(-7). Calculate the highest common divisor of 1881 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**3\/3 - 6. Let h(v) = -2*v. Calculate h(j(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 16) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87631 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2306 = -3*h - 647, -3*i + 3*h + 2214 = 0. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j + v - 49, j - 3*v = 13. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 2*j - j + 2*j - 5*j.\nAnswer: -2*j - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 1068485?\nAnswer: -1068485.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*k**3*l*p**2 - 6787*k**3*l*p + 3*k**2*p - 2*k**2 - 758*k*l*p**2 - 3*l*p**2 wrt k?\nAnswer: 54*l*p**2 - 40722*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 6:16 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, 6, 0, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*-7*(-9)\/18*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d - 7524 = 16*d. Let t = d + -471. Let y(n) = n**3 + n**2 + n - 1. Let l be y(-4). Is t greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24599 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = 2*d - 6*d + 5*x, 3*d - 5*x - 211 = 0. Suppose 36 + d = 12*b. Calculate the lowest common multiple of 7 and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (-1 + sqrt(147)))**2 + sqrt(3) - sqrt(3)) + (3*sqrt(363))**2.\nAnswer: 3268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -3321333323?\nAnswer: 3321333331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 6*sqrt(300)*-1 + sqrt(300) - ((sqrt(300) + -2)*-4 - sqrt(300)) - (2 + -5 + -3*sqrt(3) + -4))**2.\nAnswer: -26*sqrt(3) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/6)\/((-448)\/(-912)))\/((-1900)\/3325)\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1170)\/(-36) - 3\/(-6). Is u smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + u - 1. Let n(l) = 5*l**2 + 4*l - 5. Let r = -5 - -4. Calculate r*n(j) + 4*i(j).\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 43*f + 8092. What is i(-173)?\nAnswer: 653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1. Let k(l) be the second derivative of l**3 + 15*l**2\/2 - l. Let y(g) = -12*b(g) - k(g). What is the units digit of y(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10320 is divided by 206.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2 - 7 + 7*t + 2*t - 5 + t**2. Let g be u(-10). Solve -4*m + 4 - 24 = g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*h + 164*h + 2808 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**4 + 9. Let v(m) = -3 + 1 + 2 - 1. Let o(n) = -j(n) - 6*v(n). Differentiate o(c) with respect to c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -869, -1735, -2601, -3467?\n\"Answer: -866*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1753.786453 rounded to 2 dps?\nAnswer: 1753.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545520 is divided by 272760.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 0*z**3 - 59 + 21*z - 28\/5*z**5 + z**2 + 1\/4*z**4. What is the second derivative of w(l) wrt l?\nAnswer: -336*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1201012221 (base 3) to base 9\nAnswer: 51187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 4*g + 4*g)*(398*g + 1988*g - 1144*g + 2037*g).\nAnswer: 3279*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/15)\/((-1)\/6) + -10. Let b be (-8)\/64*2 - o\/(-8). What is the second biggest value in -3\/5, 4, b?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -28*n - 6. Let w(i) = -19*i - 4. Let z = -5 + 10. Let j(p) = z*f(p) - 7*w(p). Find the first derivative of j(r) wrt r.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 19499994.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + -0.96. Let k = l + 0.99912. Round k to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**5\/20 + 5*x**4\/6 + 96*x. Suppose 3*p - 69 + 99 = 0. Calculate o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at most -122621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -86a249 - -16?\nAnswer: -86a233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k**3 + 2875*k**2 + 4694*k - 374. Give n(361).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - p = 3*z - 20, p + 4 = 3*z. Let u(q) = 2*q - 4*q**z + 0*q + 6*q**2 - 4*q + 5*q**3. Calculate u(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 474 - 199. Suppose 4*m - r - 445 = 0. Let c(q) = -2*q**3 + 2*q**2 + 2*q. Let g be c(-2). What is the highest common factor of g and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3036\/(-792))\/(2\/8*1) - -8) + 5\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrnermjemndm. Give prob of sequence drj.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -83, -79, -71, -59, -43, -23, 1?\n\"Answer: 2*n**2 - 2*n - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21825, 21994, 22271, 22656?\nAnswer: 23149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.2. Let a = 11 + -13. What is the second biggest value in 3, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26596161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 655 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3097.0231 to the nearest 10.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:40 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 2*b = -28*a - 5, 0 = 2*a + 3*b - 10. What is the third derivative of 9443*n**4 + 3*n**a + 5*n**2 - 3*n**2 - n**3 - 9443*n**4 - 7 wrt n?\nAnswer: 180*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 = -0. Let t(n) = -2*n - 10. Let s be t(-7). Let w = -3 + s. Calculate the remainder when w is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/2 + 22*c + 459\/2 = 0. Calculate c.\nAnswer: -27, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(77)*-1*-5 - (sqrt(77) - (sqrt(77) - (sqrt(77) + sqrt(77)*2)))*6)\/((sqrt(110)*1)\/sqrt(10)*-3) + -1.\nAnswer: -1 + 26*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -6. Let c = 137 - 20. What is the greatest common factor of c and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 7*v**2 - 7*v + 9. Let a be h(6). Suppose -3*t + 54 = -12*t. Let q be -1*3\/t - 2\/4. Solve a*k = n + 8, n = -2*k - q + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -186*m - 2524. Calculate f(-17).\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 4*z + 10 + 3 + 5.\nAnswer: -4*z + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.26 minus 0?\nAnswer: 576.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 455 and 34671.\nAnswer: 173355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*h - i + 8, -2*h = 3*i + 7. Suppose 3*j + p = -11, 3*j + 8 = -3*p - h. What is the second biggest value in j, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12519 + 2.80969. What is k rounded to 2 decimal places?\nAnswer: 2.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 721b?\nAnswer: 7219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -94 + 0?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((143\/(-13))\/(-33))\/((-26)\/(-12)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -523 - -562. Let m = 492 - 297. Calculate the highest common factor of m and j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3523089845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/117 and 76\/27?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + 0.07. Let w be (-2)\/7 - (-12)\/(-7). Is w at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/2, -78, -1 in ascending order.\nAnswer: -78, -1, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**(-1\/20)*w**(5\/9)\/(w**0*w) assuming w is positive.\nAnswer: w**(-53\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8971 + -0.0981. Round v to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-8)\/(y*y*y**(-6)*y*y*y)*(y\/y**(1\/9))\/y**(5\/2) assuming y is positive.\nAnswer: y**(-155\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 + 8*s**4 - 2*s**4 + (43 - 10*s**2 - 43)*(-s**2 - s**2 + s**2) as c + o*s**4 + w*s + z*s**2 + m*s**3 and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2400 (base 5) in base 7?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -185, -1, 5, 4 in ascending order.\nAnswer: -185, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3845 + -4?\nAnswer: -3849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -114 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -1.4, 4, 230, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 225562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33645097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c*d*k**2 + 2*c*d*k - 2*c*k**3 - 4*c - 3*d**3*k**3 + 20*d**3 wrt k?\nAnswer: -16*c*d - 12*c*k - 18*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 22*q - 59. Calculate p(23).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-2))\/6 + 34\/6. Let k(n) = 1. Let g(c) = -3*c + 10. Let y(f) = g(f) + 4*k(f). Let w be y(q). Sort 2, 1, w in increasing order.\nAnswer: w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 9*a**2 - 3*a**2 + 3*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 522234 a multiple of 1018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*r + 6, r - 3*r = 2. Let s be ((-55)\/(-3))\/(3\/9). Suppose -8*q + s = -3*q. Calculate the smallest common multiple of a and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*u = -0 - 28, -2*v = 3*u - 2. Let h be 1 + -4 + v\/2. What is the closest to h in 2\/9, 2\/3, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) -0.34 (c) 2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(240)*4 - sqrt(15)))\/sqrt(5) + 5.\nAnswer: -14*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1599?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.5 + -17.3. Suppose -6*x - 8*x + 224 = 0. What is the nearest to o in x, -1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q**4 - 2*q**4 - 3*q**4 + 3*q**4 - 1 - 3*q in the form p*q + h*q**2 + t*q**4 + v + g*q**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169.0112 - -169. Let y = 0.0125 - v. What is y rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18385 minus 478?\nAnswer: -477.81615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:11 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2592*t**3 - 3*t**2 + 9*t - 16. Let i be y(3). Round i to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r - 98. Let k be a(-17). Let y(n) = -n**3 - n**2 - 1. Let i(m) = -27*m**3 - 24*m**2 - 24. Give k*y(v) - 3*i(v).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/20 + (-438)\/(-10). Let k = -22 + a. What is the greatest common factor of 55 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*2 + (-3 - -2). Let n be (-3 - -1 - -1)*i. Suppose -2*c + 305 = n*x, 0*c - 4*c + 3*x + 545 = 0. What is the greatest common divisor of 28 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*x + 32. Suppose x*c = 18 + 414. What is the greatest common factor of c and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31350 and 21846.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14459*l + 14453*l + 14458*l - 38 - 43369*l.\nAnswer: l - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + 55*k + 29. Let i be t(-18). Let n be 8 + -14 - (1 - 326). What is the highest common factor of n and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -2 + (4 - 1). Let a(z) = 7*z + k*z - 6*z - 5*z. Let s(j) = 3*j. Give a(s(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -166 - -166. Suppose r = -7*h - 527 + 2683. What are the prime factors of h?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**3 - 33*t**2 + 12*t**2 + 26*t**2.\nAnswer: -6*t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2475 and 1055505?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/36 + 0*(-1)\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 3*v + 2*v + 38, p = -1 - 4 - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = -0*h. Suppose 3*q = -h*y + 4*y, 2*q + 5*y = 0. Solve 0 = -2*g + 4*g - 2*m + 6, -g - m - 3 = q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddz when three letters picked without replacement from dzdzzzddzdzdzzzdzd?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -213*l**2. Let w(o) = 3*o**2. Give w(c(x)).\nAnswer: 136107*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -192802.6.\nAnswer: 5784.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knknennkkneeknqeiqje. Give prob of picking 2 q.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -15*l - 1. Let y be s(-1). Let p be -18 + 44 + -21 + 10*1. Is p <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by (-105)\/280 + (1\/(-3) - (-3428)\/96).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17072*a**3 + 34*a + 17072*a**3 + 2*a**4)*(0 + 2 - 4).\nAnswer: -4*a**4 - 68*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12275\/6 - -2046. What is the third smallest value in -2, 5, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04512409 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79365 = 25*x + 8*x. Suppose -4*y - 1924 = -4*o, 5*o + 4*y = -y + x. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 6:08 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 8*t + 4 - 2*t - 3*t**2. Let v = 768 - 757. Let n be q(v). What is n rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/((-936)\/(-196)) + (-7)\/91. What is the biggest value in 3\/8, 0, 0.24, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 + 3) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357887 is divided by 71576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10.8, -59, -519?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12)*39 - (-7 + -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8802, 8, 17, 4, 1 in descending order.\nAnswer: 17, 8, 4, 1, -8802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 33*g + 53*g - 1 + 60*g.\nAnswer: 144*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -728*s**2 - 237 wrt s.\nAnswer: -1456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.4032 + -12.48619. Let j = d + 1.089. Round j to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 1. Let u(r) = -14*r + 7. Let a(v) = -27*v + 14. Let q(m) = 6*a(m) - 11*u(m). Let b(g) = -14*k(g) + 2*q(g). Let l(f) = 3*f. Calculate l(b(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 1393256?\nAnswer: 1393256.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -396344, -396343, -396342?\n\"Answer: f - 396345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 0.5 (c) -8 (d) -127\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -441*f**2 - 119*f + 480*f - 601*f**2 + 403*f**2 - 379*f**2 wrt f.\nAnswer: -2036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 56*c - 7. Let j(k) = 28*k - 4. Determine 3*d(h) - 5*j(h).\nAnswer: 28*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-176)\/(-10) + (-2)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 11*u**6\/3 - u**5\/5 + 5*u**3\/3 - 43*u**2\/2 + 1067. Find the third derivative of j(c) wrt c.\nAnswer: 1320*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 20367.\nAnswer: 1\/6789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 12 = 0, -4*j + 16 = -13*z + 16*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 1. Let i = 9 + -15. Let w(l) = 7*l**2 + 6*l + 7. Let p(j) = i*g(j) - w(j). Let c = -182 - -177. Calculate p(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.5507ml in litres?\nAnswer: 0.1325507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d**(-2\/21)\/d)\/d)*d**(-11)*(d*d*d**(-1\/14))\/d**12 assuming d is positive.\nAnswer: d**(-755\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:34 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*b - 16*b - 20*b)*(b - 28 + 10 + 11).\nAnswer: -84*b**2 + 588*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 4 + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 7. Let s(i) = -2*i**3 + 19*i**2 - 13*i - 8. Let l(z) = z**3 + 16*z**2 + 27*z - 5. Let x be l(-14). Let j be s(x). Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1705 divide 9628135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51842?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43460*d**3*x**2 - 36526921*d**3*x - d**2*x**2 - 127*x**2 - 2*x wrt x?\nAnswer: 86920*d**3 - 2*d**2 - 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -145*p**2\/2 + 26*p - 127. Is 83 a factor of k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*z**2 - 20*z**2 + 6*z**2)*(-3*z**2 + 0*z + 0*z) - 2610*z**4 + 2602*z**4 + 10*z - 2*z.\nAnswer: 79*z**4 + 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 divided by -39.\nAnswer: -71\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 121*z**2 - 1. Let o be b(1). Let k be o\/36 + (-1)\/3. Find the first derivative of 0 - p**2 + 3*p**2 - k - p**2 wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13055 by 1865.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7651 and 1366177862.\nAnswer: 7651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24404*k**2*r - 2763127*k**2 + 14*k*r**2 - k*r wrt r.\nAnswer: 24404*k**2 + 28*k*r - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3430 and 1400?\nAnswer: 68600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53\/3 - -18. Put y, 4\/3, 0.2 in increasing order.\nAnswer: 0.2, y, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 7, -44 in descending order.\nAnswer: 7, 0, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((-207570)\/705)\/(-37)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2567, -2500, -2313, -1946, -1339?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -330, -1318, -2964, -5262, -8206, -11790, -16008, -20854?\n\"Answer: c**3 - 335*c**2 + 10*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u**2 + u + 1. Let p(a) = -a**3 - 22*a**2 + a + 51. Let s be p(-22). Let w be 2\/(-2)*(s - 29). What is i(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 7.68\nAnswer: 7.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0.6. Let r = -5.11 - -0.11. Let q = r - -4.97. Is q at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v + 97 - 17 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(1 - 0) - -252. Calculate the highest common factor of t and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 747.963t?\nAnswer: 747963000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108 + -75. Let l(d) = -d**2 + d - 23. Let s be l(0). Let y = s + c. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5078 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236 + 233 + 244 + 92 - 3*z - 790.\nAnswer: -3*z + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1052*z**3 - 46*z**3 - 3402*z**2 - 273*z**3 - 645*z**3 + 1304*z**2 wrt z.\nAnswer: -12096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3079*r - 13193 = 1774*r + 59379 + 126401 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17044448167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -15*s. Let t(p) = 103*p + 5. Let q(r) = -116*r - 6. Let v(j) = -5*q(j) - 6*t(j). Determine v(n(y)).\nAnswer: 570*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146 - -146.86. Let w = 0.860005 - o. What is w rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y - 31*x = -63*x + 37*x - 267, -3 = -y - 4*x for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -45054*0.4\nAnswer: -18021.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, 2675\/9, 2\/15, -2.\nAnswer: -2, -0.1, 2\/15, 5, 2675\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + -5 - -3*sqrt(180).\nAnswer: -5 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1000201 (base 3) to base 6\nAnswer: 3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 13.21. Let l = w + -5.21. Sort -5\/2, -0.1, l in decreasing order.\nAnswer: -0.1, -5\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105.9 + -106. Let w = -0.9 + g. Which is the closest to 2\/9? (a) w (b) -1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 - -146. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 times 130?\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5864 + 9975. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5649761 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 415 - 700. Let c = h - -286.17. Let s = 0.7 - c. What is s rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6838 (base 16) in base 6?\nAnswer: -323304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*u - 30*u + 10*u + 4*u**2 + 11*u**2 + 34*u**3 + 6 as k*u**2 + j*u + d*u**3 + s and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167 = 255*d + 3207 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4 + 10*c**3 - 16*c**2 = 0. Calculate c.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**7\/1260 - w**6\/360 - w**5\/60 + 47*w**4\/12 + 238*w. Let b(n) be the third derivative of r(n). Calculate b(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-21) - 61\/7. Suppose 35 = 2*x + 15. Let c = t + x. Is -0.3 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -665601 or -5990402\/9?\nAnswer: -5990402\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**4 + 1248*o**3 + 45120*o**2 + 435200*o = 0.\nAnswer: -272, -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 11 = 1. Let s be (-2)\/(-4)*(-2 - n). Let 0 + 0*a + 2\/5*a**s = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 4 + 16. Find the second derivative of 0*b**2 + 44*b + 4*b**2 + 9*b**4 + x*b**4 + 2 + 0*b**2 wrt b.\nAnswer: 132*b**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 - 0.2. Let f = 1.1 - o. Which is the closest to 2\/5? (a) 5 (b) -6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 23*y**2 - 95*y + 169. What is s(-19)?\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -153\/7. Let q = 6 - 4. Which is the closest to q? (a) -1\/2 (b) w (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 1. Let k(w) = -4*w**2 - 2*w + 8. Let s(a) = -4*f(a) - k(a). What are the prime factors of s(-6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*f = -94, 4*u - 17 = 3*u - 5*f. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/(-20)*(1391 - 1401).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 - 5.92. Let t = i - 2. Let g = t + 8. Is 3 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 296 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2.9. Let p = 9.53 + 0.47. Is p bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.3 (b) -5 (c) 184\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/14, 0.01, -9, 43, -0.6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95903743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, c: 5, f: 1, r: 2, b: 3}. What is prob of sequence fbc?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9*d = 976. Suppose 2*r = -4*i - 310, r = 4*r - i + 479. Let j = r - d. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -106*u**3 + 11*u**2 - 11*u + 306. Let w(r) = 21*r**3 - 2*r**2 + 2*r - 61. Let p(s) = 2*k(s) + 11*w(s). Differentiate p(z) wrt z.\nAnswer: 57*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 858*w**6 + 3*w**2 + 5*w wrt w.\nAnswer: 102960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143197957\/18 + -7960884. Suppose 3*l - 10667 - 5638 = 0. Let d = s + l. What is the common denominator of 5\/16 and d?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32144060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y - 1. Suppose -g - y*g + 12 = 0. Let o be (-32)\/18 - 1*-2. Sort g, o, -1 in descending order.\nAnswer: g, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n + 4*j - 120, 0 = 5*n - 5*j - 120. Suppose -95 = -5*t - 3*m, -m - 99 = -5*t - n. Let o = -18 + t. Is o bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-48))\/(75\/(-36)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 96 = -3*d, -4*l - 6 = -5*d - 110. Calculate the greatest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10b358 + 5?\nAnswer: -10b353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**6\/60 - j**5\/60 - 13*j**3\/6 - j**2 + 57*j. Let n be z(3). Solve -g - 7*g = n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4418 - -0.3015. Let p = l - -0.14. Round p to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 41 = 6. Solve h - m = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in decades?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 0, -4, -64.\nAnswer: -64, -4, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from vxvxxxvvxxx.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -552886 divided by -276443?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 3*s**8\/8 + 13*s**4\/2 - 43*s**2 + 2*s. What is the second derivative of g(j) wrt j?\nAnswer: 2520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 + -20. Suppose 2*a - 127 = -j. What is the highest common divisor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106427*c*s**2*t - 154*c*t + 2*s**2*t + 33337*s*t - 5 with respect to c.\nAnswer: -106427*s**2*t - 154*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8128741 to the power of 1\/2, to the nearest integer?\nAnswer: 2851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 362048*d - 16384844288.\nAnswer: -2*(d - 90512)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {q: 1, i: 12, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(64\/(-136)) - 15\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*w + 142 = 0, -3*p = -w + 15 - 228. Let h = 73 - p. Suppose l = -4*v + 14, 0 = -0*v + v - 3*l + 3. Solve x + 7 = b, 2*x + v*b = -h*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 2546\/17 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*f = 47*f - 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 15*k**2 + 15*k + 129. Let x be d(13). Sort x, -5, 2, 3.\nAnswer: x, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21)\/4*(-8)\/3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.643 to the nearest integer.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 186305.\nAnswer: -48\/186305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 188 - 8. Let p be -1 + -2 - n\/10. Does 9 divide (p\/1)\/(22\/(-66))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10195 + -10178. Which is the biggest value? (a) t (b) -5 (c) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724184*j + 724020*j = 217 + 4703 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3\/2 - 35*w**2\/2 + 167*w\/2 + 203\/2 = 0. Calculate w.\nAnswer: -1, 7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9897 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*p - 3*l, l = 5*p + 5*l - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -56*k - 6218. Determine d(-111).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -136436, -137108, -137780?\n\"Answer: -672*b - 135764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 99 (b) 1\/13 (c) 2880\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 362205?\nAnswer: 362201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/39260 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 1651*m**2 + 0.\nAnswer: -1651*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 7311, 0.3, 11\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -311.88315 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 + 1 - 8*t**3 - 2*t**2 + t - 5*t**2 + 8*t**2 to the form h*t**2 + j + r*t + m*t**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 19*u - 615*u**3 - 684*u**3 + 13*u.\nAnswer: -1299*u**3 - 6*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = 2*m - 18*v - 15, -2*v - 6 = -3*m. Let u be ((-18)\/(-8))\/(1 + 2). Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 242.4 - 264. Let f = w - -21. What is f rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(153)*5 + -5 - sqrt(153))**2.\nAnswer: -120*sqrt(17) + 2472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/66 and -145\/25613292?\nAnswer: 281746212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1 (c) -2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 108 * -792609\nAnswer: -85601772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6)\/((-2)\/(-3)). Suppose 730 = 3*k + 2*k. Let v = k + -146. What is the third smallest value in u, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 20 = 4*j, -5*j - 4*l = -l - 25. Solve 5*h + 2*i = 3*i + 21, -3*i - 13 = -j*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 30444*c - 1864503. What is h(61)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 243002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8360 and 720005?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 5*f - 3. Calculate u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 369 = 471. What is the highest common factor of 28 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*t**2 + 2*t**2 + 13*t**2 in the form x*t**2 + f*t + r and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, -0.2, 0.5, 5, 3201?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -35, -68, -125, -212, -335, -500, -713?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 11:57 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 - 12\/(-2)) + (2 - 5). Let z be o + (3 - -5 - 1). What is the biggest value in 0.6, 1\/4, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -2)\/(-3 - -1). Let f(g) = 15 + 2 + 3*g**3 - 2*g**3 + 35. What is the remainder when f(d) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*n - 4*n + 52 + 19*n)*(4 - 3 + 0)*(-n + 2*n + n).\nAnswer: 4*n**2 + 104*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609 a factor of 1814754957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -10*f**2. Suppose -6*m - 5 = -11*m. Let l(p) = -m - 4*p + 1 + 3*p. Calculate c(l(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10734 is divided by 1765.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453372 is divided by 325.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11393 (base 12) to base 9.\nAnswer: 34503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 - 109. Let c(b) = 2*b**2 - 4*b + 3. Determine c(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 7136082.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s - 17. Let i be l(5). What is the highest common divisor of i and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10235.691 and -1.\nAnswer: 10235.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39911\/5516 + -20\/1379. Find the common denominator of p and 206*4\/(-1317 - 3).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11101 and -3?\nAnswer: 0.33303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*m - 25 = 0, 2*m - 18 - 2 = -3*n. Let t = n - 4. Let w(k) = 0 - 2*k**2 + 6*k + 3 - 3*k. Let l(q) = -q**2 + q + 1. Give t*w(h) - 6*l(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 4. Let u = x - -6. Suppose q + i + 10 = -3*i, 0 = 2*q + i - u. Solve 0 = -q*h - 3*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*r**2 - 30*r**2 + 1440*r + 576 + 1024 + 4*r**3 - 58*r**2.\nAnswer: 4*(r - 20)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 0*q**3 - 4*q**3 + 2 - q**3 + 6*q**2 + 4*q**3. Is 9 a factor of m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3266 (base 7) to base 5.\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/20 + 5*x**4\/12 + 9*x**2. What is the second derivative of y(p) wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -116387756.3 to the nearest 1000.\nAnswer: -116388000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**2. Let i(o) = -2 + 5 - 1. Let p(a) be the second derivative of a**3\/6 + 7*a**2\/2 - 5*a. Let d(j) = -7*i(j) + 2*p(j). Determine d(r(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/8)*o)\/(o\/(o\/(o**(4\/3)*o)))*(o**(-1\/3))**(-21\/4) assuming o is positive.\nAnswer: o**(25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*w**2*z**2 + w**2*z - w*z - 5*w + 3*z**2 wrt w.\nAnswer: 150*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 y when four letters picked without replacement from llylmmyllm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:03 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3413300 and 3652?\nAnswer: 283303900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t. Let y be w(-1). Let o(v) = -1 - v**2 + v**2 + v**y - 2*v**2 - v. Let s(m) = -4*m**2 - 3*m - 4. Let c be -7*(-1)\/(-14)*-4. Give c*s(n) - 6*o(n).\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) -1 (c) 0.26 (d) -52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - -85. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10454 + 549. Let p be (-3)\/(-1) - x\/1. Round p to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 9 + (-62 - -64).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10777 is divided by 991.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 6*r**2 - 6*r + 2. Give x(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.82 - 7.8653. What is c rounded to 3 dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q - 33. Let w be t(14). Let a(p) = p**2 + 7*p - 11. What is the units digit of a(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263015 smaller than -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**2)*j)**(-27))**(-19)*j**(-1\/8)\/j**7*(j**(-1\/4)\/j)**(-35) assuming j is positive.\nAnswer: j**(12605\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 + 80*y**2 - 608*y.\nAnswer: -y*(y - 152)*(y - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212494101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-25)*-7 + ((-1785)\/175 - -12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from uqqouuoquoo.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 14*s**2. Let h(a) = 144*a**2 - 36*a**2 - 2*a + 4*a + 0*a - a. What is h(o(i))?\nAnswer: 21168*i**4 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -22 + 5 + (0 + 12 - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 4*l**2 + 30*l - 101. Determine v(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 12:43 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.463 + 5.463. Let u be 3 + -1*((-36)\/(-3))\/4. Which is the nearest to u? (a) -1\/3 (b) o (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*2*-1*1 + (sqrt(102) + (1*sqrt(102) + sqrt(102) + sqrt(102) + sqrt(102))*3)\/(sqrt(864) + sqrt(864)*2).\nAnswer: -419*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93 - 192)*(-3)\/27.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/1 + -30 + (25 - -17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3\/7 + 4524412*o**2\/7 + 3231734*o - 9048844 = 0.\nAnswer: -7, 2, 2262211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1555479 is divided by 172748.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, -4, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -648*r**2 - 10. Let o(m) = -42120*m**2 - 648. Give -5*o(h) + 324*p(h).\nAnswer: 648*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -149.8 plus 363754826.3?\nAnswer: 363754676.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2\/41)\/z)*z**(3\/2)\/z)\/(z*((z\/(z\/z**(1\/20)))\/z)\/z*z*z*z**6) assuming z is positive.\nAnswer: z**(-3691\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (8 - (-36 - -3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16883703427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15750 (base 13) to base 8\nAnswer: 117532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**17*j\/(j\/j**(6\/13)*j))**(2\/61) assuming j is positive.\nAnswer: j**(454\/793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 + 6)*(151*c - 77*c + 862*c).\nAnswer: 14040*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 41*j**2 - 639*j + 40. Give z(11).\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*j + 124*j**2 - 278*j.\nAnswer: 124*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n + 7941456 = 26*n + 531*n. What are the prime factors of n?\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-3\/41)*g**(2\/43)\/g*g)\/(g**(8\/9)*(g\/(g*g**(1\/7)))\/g) assuming g is positive.\nAnswer: g**(263639\/111069)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**4\/90 + r**3\/9 - 4*r**2\/15 + 47*r - 1. Find d, given that i(d) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/2040)\/((-3)\/(-8)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 189*k**3 + 8*k**2 - 218*k + 2284458 wrt k.\nAnswer: 567*k**2 + 16*k - 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4421 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, k: 5, v: 5}. Give prob of picking 1 k and 1 v.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1799574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4085949 - -4084080.191. Let p = -1868 - h. Round p to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + 4 = 0. Determine l so that 2*l + 0*l - 9*l**3 - l**2 + 2*l**s + 7*l**3 - l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(-2*d**4 + d**4 - 7*d**4) - 3*d**4 - d**4 + 2*d**4 in the form m*d**3 + s*d + k*d**4 + w + f*d**2 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**4\/24 + u**2 - 593*u. Let p(f) = 12*f - 20. Calculate g(p(q)).\nAnswer: 12*q - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-81)\/729)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 251266181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = 0, 0 = -4*j + j + n + 71. Find the first derivative of -j + 62*z**3 + 98 + 32*z**3 wrt z.\nAnswer: 282*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288 by 4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6.6001 * -16\nAnswer: -105.6016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (82 - -18) + -91 + -76?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13074267169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 49372.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 2*x)*(-1 + 0 - 3)*(509 - 509 - 49*x) + (0 + 0 - 2*x)*(-4*x + 2*x + 0*x) + (x + 3*x - 6*x)*(-3*x + 0*x + 2*x).\nAnswer: 202*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, -8, -12?\n\"Answer: -4*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 29, 24, 21, 20, 21?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-12)\/(-16) + (-26)\/(-8) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*j**4 - 2226*j**2 + 1 - j + 1 + 1071*j**2 + 1101*j**2 as t*j + z + k*j**3 + m*j**2 + c*j**4 and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - ((-12)\/(-10) + (-1)\/5). Let o be (-2)\/(-4) + 21\/6 + x. Solve -10 = -o*w + 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4531 + -4571 - ((-3 - -2) + -101)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -19*v**2. Let n(m) = -m**3 + 5*m**2 + 5*m + 6. Let d be n(6). Let q(s) = -3*s**2 + d*s**2 - 6*s**2 + 8*s**2. Calculate r(q(p)).\nAnswer: -19*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (132\/240)\/(1\/12)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 - -21. Let d be (-2)\/7 - (-22)\/y. Suppose -h - h + 36 = d. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 21*u**2. Let s(i) = 6*i**3 - 252*i**2 + 264. Calculate -12*q(z) + s(z).\nAnswer: -6*z**3 + 264","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -40763925 times 0.2?\nAnswer: -8152785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3137354 centuries to years.\nAnswer: 31.37354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 5\/6*q**6 - 7\/3*q**3 + 0*q**5 + 0*q**4 + 0*q + 9 + 0*q**2. What is the third derivative of l(v) wrt v?\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) 4 (c) -6.43 (d) 0.5 (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 752409751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -9, -511, 3\/10, -1 in increasing order.\nAnswer: -511, -9, -1, -4\/7, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 2384.\nAnswer: 14304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abeaaaeaebaa. What is prob of sequence aeb?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11733, 11734, 11735, 11736?\n\"Answer: s + 11732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219\/(-2)*(52\/(-36))\/13*(5 - 11).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*z + 3*h - 9998, -5*h = -4*z + 19996. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203*v**3 + 33*v**3 - 62*v**3)*(-6*v**2 - 5 + 5).\nAnswer: 1392*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10d904 - -4?\nAnswer: -10d900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28337570 rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -348 - -507. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3256121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 3 + (-32 - -18) + 11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**2 - p + 4. Let f(n) = 254 - 6*n**2 + 7*n**2 - 253. Calculate -5*f(d) + k(d).\nAnswer: d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 609585?\nAnswer: 6095850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 328379\/33 + -9950. Let s = -6\/11 + r. What is the closest to s in -2\/7, 5, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 2*a - 2. Let v be z(4). What is the closest to 2\/11 in v, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18480\/(-12425))\/66)\/(8\/10).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/49148 and -47\/2160278?\nAnswer: 47526116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -45615766 divided by 22807883\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c = 18*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t. Let o(s) = 3*s. Let j be 16\/(-20) + (-42)\/10. Determine j*f(c) - 14*o(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x - 41*x = -2440. Calculate the common denominator of x\/(-2016) + 8\/14 and 77\/10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 8*o**2 - o - 6. Let t be d(-8). Let k(j) = 6*j**t - 7*j**2 + 0*j**2. Suppose -v + 1 = -1. Give k(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r**3 - r**3 - 2*r**3)*(-1 - r + 1) - 152*r**4 - r + 6978*r**4 + r - 1163*r**4 + 3382*r**4 as y + k*r**3 + f*r**4 + h*r**2 + o*r and give f.\nAnswer: 9043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3 = 3*x + 3*n, 0 = 2*x - 5*n - 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2. Suppose -4 = -h - 5*w, 112*w = 114*w + 22. What is the highest common divisor of f and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*s - 135*s - 276*s.\nAnswer: -850*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - -45. Let i(q) = 5*q**3 + 2*q**2 + 12*q + 5. Let o be i(-2). Let k = o + w. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77\/70*5*280\/154\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**3 + 9*t**2 + 5*t + 20. Let z(f) = -52650*f**3 + 10*f + 13*f**2 + 52644*f**3 - 3*f + 30. Give 7*n(c) - 5*z(c).\nAnswer: 2*c**3 - 2*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(95) - sqrt(95)*6) + 2*-4*sqrt(95))\/(sqrt(500)*-2 + sqrt(5) - ((-3*sqrt(20))\/sqrt(4) - sqrt(5))).\nAnswer: 28*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 531*d + 71. Let h(p) = -261*p - 30. Give -2*b(o) - 5*h(o).\nAnswer: 243*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a57 - a?\nAnswer: 1a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32024 (base 15) in base 9?\nAnswer: -261567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**5\/30 + 61*x**4\/3 - 6698*x**2. Factor p(z).\nAnswer: -2*z*(z - 244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 12. Let i(f) be the first derivative of -f**4\/4 + 4*f**3\/3 + 3*f**2\/2 - 2*f + 59. Let d(u) = u**3 - 7*u**2 - 5*u + 4. What is h*i(m) + 3*d(m)?\nAnswer: -2*m**3 - m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 - 5*f**2 + 57*f - 412. Give o(6).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377)*-2 + sqrt(1377) + (sqrt(17) + sqrt(2057)*2)**2 - (((sqrt(34) + 3*sqrt(34))\/sqrt(2))**2 - sqrt(612)*6).\nAnswer: 27*sqrt(17) + 8721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**3 - 39*z**2 - 15*z + 4. Let x be m(-11). Let a = -747 + x. Solve 0 = -3*j - a + 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9*i. Suppose -15*j - 3 = -16*j. Let c(k) = -5*k**2 + 0*k**2 + j*k**2 - k**2. What is v(c(p))?\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 40 = -48*y + 45*y, -5 = 5*d. Solve 10*v - y = 14*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 8668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 14*h - 4*h. Factor 400*u**2 - 11*u**3 - 345*u - 117*u**h + 51 + 3*u**3 + 39.\nAnswer: -5*(u - 2)*(5*u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29279 + -28180. Calculate the remainder when s is divided by 519.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.17956 rounded to two decimal places?\nAnswer: 63.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/1034 - 2259\/1034. Suppose 30 + 5 = 5*o - 5*n, -23 = o + 5*n. Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.17 + -0.27. Let c = j + -1.4. What is the second smallest value in c, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5164*y**3 - 339*y**2 - 15.\nAnswer: 30984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5\/4 - 63*i**4\/4 - 387*i**3\/4 - 813*i**2\/4 - 351*i\/2 - 54 = 0 for i.\nAnswer: -12, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3305020 or 3305130?\nAnswer: 3305020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 49.7 times -6992\nAnswer: -347502.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 3*y**2 - 2*y - 6. Let r be q(-4). Calculate the highest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -2\/17 (c) -5 (d) -15\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*j**4 + 5*j**3 - 8513*j**2 - 482858*j - 3 wrt j?\nAnswer: 108*j**2 + 30*j - 17026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 433*z**2\/5 - 8228*z\/5 + 19\/5.\nAnswer: (z - 19)*(433*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -259642 and -6853122.\nAnswer: -7112764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11244254 - 18?\nAnswer: 11244235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 2:46 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24995669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 7*y + 11 = -6*y, -11 = u + y for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*z - 6*w = 329*z - 108, 11 + 18 = z + 2*w for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*x = 4*x + 2105184. What are the prime factors of x?\nAnswer: 21929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 1 + 4)*(6*f + 8*f - f).\nAnswer: 260*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620 = 8*r - 4*r. Let g = 343 + -606. Let z = r - g. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168812, -337910, -507008?\nAnswer: -676106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -478*y**4 + 247*y?\nAnswer: -5736*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -487 + 507. Solve 36 = 2*p - 6*p + 5*i, w = -2*p + 3*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -103\/60?\nAnswer: -103\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 3253 + 7615 - 1844 = -170*w for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9)\/b*b*b*(b*b**(-3\/10)\/b*b)\/b)\/(b*b*b\/(b\/b**(-2\/9)))**(1\/84)*((b\/b**(-2\/5))**(2\/11))**(1\/4) assuming b is positive.\nAnswer: b**(10028\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1\/4 + (-1)\/(-4)). Solve 4 = k*a - a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862 (base 16) to base 8.\nAnswer: 4142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -24?\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39336757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/6*0\/3. Sort -1\/2, g, -0.01 in descending order.\nAnswer: g, -0.01, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869781561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 19, 29, 43, 61, 83, 109?\n\"Answer: 2*o**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5 + 54*l**4 + 60*l**3 - 112*l**2 = 0 for l.\nAnswer: -2, 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -37*p + 8*p - 300 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1036004, -2071995, -3107986, -4143977, -5179968, -6215959?\nAnswer: -7251950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9901.15 centuries?\nAnswer: 11881380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 8 = 4*m. Let h(s) = 3*s**3 + s**2 - s. Let t be h(1). Suppose -15 = -5*p, 5*v + t*p - 25 = -6. Sort 5, m, v in decreasing order.\nAnswer: 5, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46551191 - 46552731 = -35*j for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 65\/(12870\/2268) + 12\/22. Suppose -31*c + k - 9 = -27*c, -3*c - 3*k + q = 0. Is c less than or equal to -3\/367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -261*n**2 - 40*n**2 - 60*n**2 in the form h*n**2 + m*n + k and give h.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23314 + 5*s + 46648 - 23334 + 2*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 5. Let q be (t*1)\/(-4 + 2). Suppose 0*w + q*w = 2*d + 2384, 4*d + 8 = 0. What is w rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1535*y. Let s(p) = p. Determine s(b(h)).\nAnswer: 1535*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8951 is divided by 1105.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 827306679 to the power of 1\/3, to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/4 - 16*y**3 + 405*y**2\/2 + 1750*y + 6125\/4 = 0 for y.\nAnswer: -5, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**5\/40 - v**4\/32 - 8*v**2. Factor a(n).\nAnswer: -3*n*(2*n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*f + 9*f + 26*f - 61 + 1303 for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from lpuulllhuup?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4930940851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnhmhmmnmmhhm. Give prob of picking 1 n and 1 h.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 357353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, q: 4, r: 4, t: 2}. Give prob of picking 1 q, 1 t, and 1 r.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.417 + -531?\nAnswer: -508.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362674 is divided by 371.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122291690 and 35087.\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.012 - -951?\nAnswer: 898.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1493*m + 1497*m + 1495*m + 1493*m - 5973*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s + 12. Let f = 25 - 23. Suppose -6 = -f*l - 18. Let i be q(l). Put -2\/3, i, -2 in ascending order.\nAnswer: -2, -2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 209 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v + 2. Let q(j) = -j**2 + 6*j + 25. Let c be q(8). Let n(u) = 21*u - 9. Let s(y) = c*f(y) + 2*n(y). Let d(b) = -42*b**2. Calculate s(d(m)).\nAnswer: 126*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -339 divided by -6.\nAnswer: 113\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7040 by 352.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 153, 472, 1053, 1974?\nAnswer: 3313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i*s**2*u**2 - 655*i*s*u - 12*i*u**2 + 2*s**2 + 427*u**2 + 9*u wrt u.\nAnswer: -6*i*s**2 - 24*i + 854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278, -618, -972, -1346, -1746?\nAnswer: -2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 27 - ((-41)\/(-533) + 285\/13).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 744 + 596 - 1330 - 3*q.\nAnswer: -3*q + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/18*2*108\/6768.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 - 4*k - 4. Determine f(-4).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 10. Let z be g(-8). Let h = z - -3. Solve -7*n + 2*n = -h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 273*i - 394. Let u(s) = -s**2 + 25*s + 2. Let d(j) = -g(j) - 3*u(j). Find w, given that d(w) = 0.\nAnswer: -97, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27154 - 3798092972.\nAnswer: -3798065818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 6*l - 7*l. Let w be (-12)\/l + (-4)\/(-26). Let k be w - 8\/(-12) - 0. What is the nearest to k in 0, -2\/17, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9 + 9\/2*q + 1\/2*q**2.\nAnswer: (q + 3)*(q + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 11*k**2 + 10*k + 282. Give c(14).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 123, 188, 253, 318?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.749 and -428782057.\nAnswer: -428782061.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-32))\/(1\/150). Let g = h + 83\/4. What is the common denominator of g and 1 + (-6 - 84\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 3*a - 11. Let g(t) = t**3 + 3*t**2 - 5*t - 23. Calculate 3*g(n) - 5*y(n).\nAnswer: 3*n**3 - n**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-7)\/((-35)\/10). Let u = 1304 - 67811\/52. Let f = -71\/572 + u. Sort b, -2\/3, f in descending order.\nAnswer: f, -2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3733*w - 7510*w + 1484 = -3724*w for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*t)*(287*t + 51*t**2 + t**3 + 159*t**2 - 287*t).\nAnswer: -2*t**4 - 420*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 143126 to the power of 1\/2, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12303 is divided by 2981?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -67 times -27\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.65 - 0.35. Let p = -24.96 - -29. Let x = p + d. What is x rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 8*x + 4. Let u(d) = -d**3 + 5*d**2 + 4*d + 6. Let b be u(6). Let j be r(b). Let g = j - 18. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3183 + 3185.9665. Let r = -0.0335 - m. What is the smallest value in -7, -0.1, r, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 12 = -9*z. Suppose z*s = s - 2*s. Solve -2*y - y = s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/76 - (-54)\/(-513). Let c(d) = 2*d**2 - d + 62. What is c(m)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 1, h: 4, c: 7}. Give prob of picking 3 h.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 4*v + 5*z + 32, 3*v - 1 = 2*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnxnnindvxixnninnnn. What is prob of picking 1 v and 1 n?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 717557 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + -41. Let s = 41 - v. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -428*h**2 - 98*h**3 - 429*h**2 + 13*h + 860*h**2 wrt h.\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (75\/(-4) - 2)*-4 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 20*s**2 + 14*s - 7. Let i(r) = -r**2 - 3*r + 1. Give -4*i(q) - p(q).\nAnswer: -16*q**2 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/29 <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20017 and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*h**3 + 70*h**3 + 68*h**3 - 193*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003538 rounded to 7 decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 819993476 to the power of 1\/2, to the nearest integer?\nAnswer: 28636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) - (-48)\/(-9). Let h(d) = -14*d - 18. What are the prime factors of h(s)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-17))\/t**(-7\/6)*((t**2*t)\/t)**(-25) assuming t is positive.\nAnswer: t**(-389\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 18, 39, 80, 147, 246, 383, 564?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40685028 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -13*g**2 + 79*g - 12. Give b(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14844.835 - 14866. What is f rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -321 - 819. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d + d - 3*d)*(-1 + 3 - 4) + (25 + 6*d - 25)*(2 + 1 - 5))*(2*d - 2*d + 2*d - 4).\nAnswer: -16*d**2 + 32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmgy when four letters picked without replacement from myumgkyn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-4))\/(15105\/(-180) + 84).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22333 - 2123133?\nAnswer: -2100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**18\/r**(-39)*r**17\/(r\/(r*r\/r**48*r)) assuming r is positive.\nAnswer: r**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11685 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54.8 + 55. What is the fourth smallest value in 6\/5, 0.4, u, 0.1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 6862?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -1.2, -3, -0.5, -7, -20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-25)\/(-10)*(-8)\/30*(-24)\/640?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in -2, 0.4, -0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.23554 tonnes to grams.\nAnswer: 1235540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -142*t + 359*t. What is the biggest value in 0.5, t, 2\/17, -2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1*sqrt(136) + sqrt(136)))\/(3*sqrt(64)))\/(1*sqrt(288) - sqrt(50)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19 - 2)\/3*1. Let l = -3 + s. Let h be 3\/30*l\/4. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 433 + 820 - 504 + 3*r. Let u(d) = -2*d**2. What is u(n(y))?\nAnswer: -2*y**2 + 468*y - 27378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5929) - (sqrt(5929) - sqrt(5929)*-1)*-2)\/(-3*-1*(sqrt(63) - sqrt(7) - sqrt(7))).\nAnswer: 55*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/156 - 46\/78)*(0 - 1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102211 + -201202011?\nAnswer: -202011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 17*w = -15. Let y(o) = 0 + 0*o + w - o. Let b(k) = -1. Let q(c) = 2*b(c) + y(c). Give q(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 85499723 and -0.462.\nAnswer: 85499722.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10224974 and 112474714?\nAnswer: 112474714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-294\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1*3*(-13)\/78*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 6*n**2 - 7*n - 4. Let x be v(3). Let w(r) = 210*r**2 - 2*r + 2. Is w(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554059816 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 129\/301 + 3 + 12\/(-28). Let k(w) be the third derivative of 6*w**2 + 0*w**4 + 0*w + 0 + 1\/60*w**5 + w**h. What is the derivative of k(p) wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 213587548 and 1756.\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 526, 5, -14274 in decreasing order.\nAnswer: 526, 5, -14274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*y**2 - 1 + 7 - 6.\nAnswer: -103*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b. Let m(y) = 21*y**2 + y. Determine m(w(d)).\nAnswer: 21*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2365 + -1384. What is the greatest common divisor of 763 and y?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-40) - ((-16)\/(-5))\/(-8)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145932 and 2568.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*i = -976 + 1 + 7779. Suppose -2*b = -4*b + 40. What is the least common multiple of b and i?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kikvkvizkzz. What is prob of picking 1 z and 2 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.06 (b) 0.1 (c) 109 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, j: 1, d: 2, i: 1, p: 8, z: 2}. What is prob of sequence edi?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 8*g**2 - 11*g - 12. Give j(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b239 - b9?\nAnswer: -b2f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 53 = -25. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*h + 9 = 0, -2 = h + h. Let v = -528 + 526. What is the biggest value in 0.13, l, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1 (c) 0.06 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 63, 2.\nAnswer: -5, 2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((((-5635)\/276)\/(-49))\/7).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/t**(-5)))*t*t\/t**(-3\/5))\/(t\/t**(-8))**(-29) assuming t is positive.\nAnswer: t**(1348\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -1\/7, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000080362 to 7 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 578214 and 182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/5455 and 41\/9819.\nAnswer: 49095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide ((-76413)\/(-11))\/((-705)\/(-5170))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13020, 13185, 13460, 13845, 14340, 14945, 15660?\n\"Answer: 55*y**2 + 12965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -11. Let f(a) = -5*a**2 + 2 + 10*a - 5*a + 3*a**3 - 4*a**3. What is the remainder when 14 is divided by f(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -189 + 964. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 18*b**3 - b + 1. Determine w(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*s**2 + 159*h*s - 17277*h + 3*s**2 - 3*s - 2 with respect to s.\nAnswer: 2*h*s + 159*h + 6*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2770?\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gglllgsrlllllgr. What is prob of sequence rl?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 6*m - 5. Suppose 0 = 4*b - 0 - 20. What is the common denominator of i(b) and ((-580)\/40)\/((-8)\/14*70\/60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 7 - 35. Solve -j*b = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*i - 112*i + 534*i - 148*i - 121*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*(sqrt(288) + 0 + 4 + 3)*6*5 + 1)**2.\nAnswer: 2424960*sqrt(2) + 4856164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4255, 4281, 4329, 4405, 4515, 4665?\nAnswer: 4861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - -35) + -3 + 3 + (6 + -3 - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4173*g = 4191*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 11*z**3 - 21*z**2 - 17*z - 51. Let k(f) = -7*f**3 + 14*f**2 + 11*f + 34. What is -5*g(t) - 8*k(t)?\nAnswer: t**3 - 7*t**2 - 3*t - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 2997152?\nAnswer: 50951584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -77?\nAnswer: -51\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45229714.93 rounded to the nearest one thousand?\nAnswer: 45230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(153) + sqrt(153)*1))\/(sqrt(36) + sqrt(216)\/sqrt(6)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/20)\/((-2)\/10). Suppose -r*x + 39 = -0*x. Is 13 a factor of 6\/(-3)*x\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1855132852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (15 + 42)) + 20 - -17?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-150)\/156 - 1)\/((-196)\/(-96) - 2). Is -48 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -18*g + 11*g. Solve -5*h - 13 + g = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - (8244\/(-2290) - -1*3)*25?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a8ce80 (base 16) in base 15?\nAnswer: e87d77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -51, -50, -41 in increasing order.\nAnswer: -131, -51, -50, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -23 + 13 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -1.42.\nAnswer: 2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40.6 and 33.5?\nAnswer: 1360.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 158203222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1056 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.8 + 21.8. Which is smaller: l or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2013 (base 6) to base 10.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 147687662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.560891029263 take away -4?\nAnswer: 64.560891029263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823689 is divided by 823599?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 9302060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {q: 1, h: 1, f: 1, n: 1, b: 1, w: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-3192)*14*8\/(-6)*1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254586.\nAnswer: 2, 3, 151, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 762 = 4*g - f, g - 267 = f - 78. Suppose -204 = -197*o + g*o. Calculate the remainder when 84 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 11*h + 5. Determine x(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-7 + 4)*(-12)\/(-36))\/(7\/3)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 - 4 = 0. Let j(y) = 11*y**3 - 7*y**2 + 15*y + 1. Let r(v) = 7*v**3 - 5*v**2 + 10*v + 1. Let b(z) = -5*j(z) + 8*r(z). Give b(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - (-7)\/((-14)\/(-4)). Let f = -93 - -95.26. Let g = f + -0.26. What is the third biggest value in d, g, 0.05?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6382 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o + 2 - 18*o + 105*o - 2 - 14*o - 67*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-654)\/(-14) - (-150)\/525. Solve -4*n + p = 35 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1734*x**2*y**2 - x**2 - 12044*x + 1 with respect to y.\nAnswer: -3468*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1914 = 3376. Let o = -1674 - i. Suppose -p + 0*p + o = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*o - 251. Suppose -o = -2*i - 33. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*a**3*y**2 + 65*a**3*y - 2*a**3 + 2*a*y**3 wrt y?\nAnswer: -164*a**3 + 12*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - 49. Let z = d - -167. Let f = -49 + z. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 plus -92525?\nAnswer: -92414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 25. Let c(q) = 64*q**2 - 60*q + 5. Let x(y) = -160*y**2 + 150*y - 12. Let u(z) = t*x(z) + 12*c(z). Find the second derivative of u(f) wrt f.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -167\/19 and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzq when three letters picked without replacement from {z: 4, q: 5, w: 4, m: 1, l: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.085417 rounded to one dp?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*m - 2*k*r + 138*k + 273*m*r with respect to r.\nAnswer: -2*k + 273*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) -2 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23283246?\nAnswer: 2, 3, 7, 19, 163, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 9:05 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 450*m**2 - 533*m - 38252. Give n(-449).\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*n - 16, -2*n - 4 + 15 = 5*k. What is the second derivative of 2*t + 27*t**2 + 5*t**k - 27*t**2 wrt t?\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34213*v**3 - 67870*v**3 + 34605*v**3.\nAnswer: 948*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15381 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: Simplify ((sqrt(245)\/(sqrt(7)*1) - -2*sqrt(5040))\/(2*sqrt(605)*-5))**2.\nAnswer: 175\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -145.8\nAnswer: -583.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = 5*y - 196. Let l be ((-5)\/5)\/(15\/y). Which is the third smallest value? (a) l (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(38)\/sqrt(2) - (0 + (sqrt(171))**2).\nAnswer: -171 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 19*p**3 - 10*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 230*c**4 + 454397*c**2 - 447660099*c.\nAnswer: 2760*c**2 + 908794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 4*z**5 - 2*z**2 + (-2 - 4 + 3)*(-z**2 + z**2 - 3*z**5) + 3*z**5 + 0*z**5 - 6*z**5.\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 94 - -a33?\nAnswer: ac7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*9\/6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1159 = 2*v - 3*y + 174, 0 = -2*v + 5*y + 995. Let t = v + -483. Solve 3*c + g + 18 = -2*g, 5*c = -t*g - 27 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56950 + 249042358\/4373. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 32880057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998750143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -5*r**5 + 170*r**4\/3 - 248*r**3\/3 + 48*r**2 - 2*r + 3. Suppose q(z) = 0. What is z?\nAnswer: 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -302236, -302228, -302218, -302206, -302192?\n\"Answer: k**2 + 5*k - 302242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1140)\/(-80))\/19)\/(3\/(-96))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.036 (b) -1.7 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-4))\/((-6)\/(-12)). Suppose 0 = 3*n - d*n, 5*z = -n + 18065. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4*(sqrt(128) - (0 + sqrt(128))) - (1 + sqrt(128))*4)*-5 + 0)**2.\nAnswer: 160000*sqrt(2) + 1290000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**4\/2 - 7*p**3\/6 - 2*p + 2. Let n(x) = -2*x**2. What is n(f(o))?\nAnswer: -72*o**4 + 168*o**3 - 98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18998 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 7*z = -36. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/28 - (-24)\/27*3 and 10\/(-28) + -1 - 2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaee when four letters picked without replacement from aaeaaeaeeaaee?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5458619 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1392 = 7*h - 5*h, b - h - 464 = 0. Which is smaller: 462 or b?\nAnswer: 462","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -17 (b) -19 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9325, 9294, 9263, 9232, 9201, 9170?\n\"Answer: -31*q + 9356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 13. Suppose 0 = 4*a - w*g - 24, 5*a = -g + 15 + 21. Solve -3*z = -a*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {s: 7, q: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**6\/120 - m**5\/12 - 7*m**4\/24 + m**3\/6 + 2277*m**2. Suppose 0*v + 6 = v. Calculate c(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-51)\/(-12) + (-15)\/(-20). Suppose 0 = -p + 5*x + 11 - 4, 3*p = -o*x + 21. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 4:27 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, l: 5}. What is prob of picking 2 z and 1 l?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -5079356.\nAnswer: -5\/5079356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -332 (c) 4 (d) 6 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-78.3\nAnswer: -77.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2. Let f(y) be the first derivative of 5*y**6\/72 + 5*y**3\/3 + 13. Let b(a) be the third derivative of f(a). Give b(z(g)).\nAnswer: 25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**1))**(4\/9)\/(k\/(k*k\/k**(2\/5)))**(-33) assuming k is positive.\nAnswer: k**(-911\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10)*178\/(-1335)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p - 9. Let n be ((-30)\/5)\/((-3)\/2). Let m(y) = -y**3 + 4*y**2 + y + 2. Let v be m(n). Calculate t(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 84 + 117 = 0. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 2122111?\nAnswer: -2122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102100200 (base 3) to base 9.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vaooaassoh. Give prob of picking 3 o and 1 v.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33053 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 14. Let m be 120\/36*6\/5. What is the remainder when (x + 0)*(-18)\/m is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84785, -84803, -84821, -84839, -84857?\nAnswer: -84875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 4*o + 2*o)*(-5 + 8 - 3 + 325*o**2).\nAnswer: -650*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -643a25?\nAnswer: 643a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -21, -0.6 in descending order.\nAnswer: 4, 1, -0.6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 1, -3\/7, 11, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/16*(-424)\/(-2014)*-152?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -4\/9*l**3 + 1\/9*l**4 + 5*l + 2\/3*l**2 - 5. Let q(i) be the first derivative of h(i). Let q(z) = 0. What is z?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/42 and 99\/464?\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 3:25 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**5 + 45*q**4 + 32330*q**3 - 162170*q**2 - 52520325*q + 52650125 = 0?\nAnswer: -55, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-2*(-2*sqrt(231) - sqrt(231)))\/sqrt(11))\/((sqrt(2112)*2 + sqrt(2112))\/sqrt(11)*-3))**2.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4536 + 190 = -y, -4*y = -4*p + 17384. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7776*b**3*d**4 + b**3*d**3 - 9*b**3*d + 2*b**2*d**2 - 52*b**2 + 239*b*d**2 - 13*d**4 - d wrt d?\nAnswer: 186624*b**3*d + 6*b**3 - 312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*r + 839 = 6*u, 4*r - 4 = 0. Is 59 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 2:41 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 12750\/27 - (-2)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -1\/9, 0.4, -316 in decreasing order.\nAnswer: 79, 0.4, -1\/9, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-35)*5\/3*(-176580)\/(-2725)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 4*f - 2. Let j = -107 + 85. Let g = j - -27. Calculate r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -273 - -275. Solve 10*l = 8*l + p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.49 + 0.49. Let i = 14 + d. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-13456)\/174 + -21)*(-6)\/20).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2812*p = -4*u - 2773*p + 464, 38 = 22*u - 5*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 7*d**2 + 6*d - 4. Let z be 12 - ((-20)\/(-8) + (-3)\/(-6)). Is u(z) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-35) - 580\/3962. Is z > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6 = 4. Suppose -4*i - 17 + 51 = 2*u, -3*u = -p*i - 27. Let x = -7 + u. Calculate the smallest common multiple of x and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -356 (base 8) to base 5\nAnswer: -1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4297486725.\nAnswer: 3, 5, 7, 909521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 5*o**2 - 20*o + 5*o**2.\nAnswer: 5*o**2 - 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 40 = -2*x. Let a be 14 - (-5)\/x*-4. Solve -s - 3*s - a = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + -2 - -7 - -2533333. Let c(l) = 0 - 10 - g*l + 2. Let o be c(-3). Round o to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 29*r + 4. Let d(u) = -86*u - 11. What is -4*d(y) - 11*m(y)?\nAnswer: 25*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zje when three letters picked without replacement from jwzce?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or -11475?\nAnswer: -11475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -776\/7, -165, 1?\nAnswer: -776\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 16. Let s be 5\/20 + -1 + 58\/v. Do s and -8 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0 (b) -23 (c) -0.2 (d) -2 (e) -0.045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.157760468 to three dps.\nAnswer: -0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -81. Let g(p) be the third derivative of p**2 + 0 + 1\/6*p**4 + 0*p + 1\/40*p**6 + 0*p**u + 0*p**3. What is the second derivative of g(d) wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 86*y**4\/3 - 224*y**3\/3 + y**2 + 237. Differentiate p(d) with respect to d.\nAnswer: 688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, -12, 44, 3, 6 in increasing order.\nAnswer: -12, -3, 3, 6, 9, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3845, -3855, -3855, -3839, -3801, -3735?\nAnswer: -3635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/4 - 369*c\/2 + 741\/4.\nAnswer: -3*(c - 1)*(c + 247)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 4423?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21534 and 388.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 16, s - j + 11536 = 43845. Suppose -b + u - s = -4*b, -4*b + u = -43084. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 2*m**2 + 7 - 4 - 5*m**2.\nAnswer: -4*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60712666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 207813 = 17*v - 27*v. What are the prime factors of v?\nAnswer: 53, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1 = 3. Let u be 8\/(-64)*14*-4. Suppose -40 = -u*v - v. Solve -2*d + 9 = -3*y, 2 = -v*d - y - a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22646863?\nAnswer: 73, 310231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1 - s**2 - 3 + 3 + 2. Let u(o) = -2*o**2 + 7. Let w(p) = 14*i(p) - 6*u(p). Let f(x) = -26*x**2. Determine f(w(k)).\nAnswer: -104*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 divided by -1.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*w - 3 = 0, 39*l + 5 = 36*l - 5*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0 + 8. Let p = m - 10. Calculate the smallest common multiple of 22 and (p\/4)\/((-15)\/40).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172 and 39689?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151277278 by -674.\nAnswer: -224447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29336 = -996*t + 544 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 11*v - 5*b + 40 = 0, 3*b = 2*v + 15. Let s be v\/(-5)*50\/30. Let l be -62 + (2\/(-6))\/(s\/(-27)). What is l rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 282870.25 and 4453.\nAnswer: 287323.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1112765 (base 9) to base 3\nAnswer: -1010102212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2 - (-7)\/4). Suppose i*f = -f - 10. Let g(t) = t**3 + 6*t**2 + 4*t - 1. Let s be g(-5). Which is the closest to 0? (a) -2\/11 (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/112371 and 36\/161.\nAnswer: 2584533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 655015?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}