diff --git "a/data/dm_maths/full_data/1077_11255.jsonl" "b/data/dm_maths/full_data/1077_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1077_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many minutes are there between 2:19 PM and 9:56 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48105978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 29*a**2 + 35*a**2 + 24*a - 63*a**2 + 30 - 49.\nAnswer: a**2 + 24*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1138 and 14?\nAnswer: 7966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -14*f**2 + 313*f + 12. Let q(g) = g**3 - 18*g**2 + 313*g + 15. What is -5*n(j) + 4*q(j)?\nAnswer: 4*j**3 - 2*j**2 - 313*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-90)\/(-10)*(-2)\/(-12)*2. Suppose -p*x - 459 = -3*v, 4*x = 2*v + 3*v - 760. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 5:37 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.31*-0.015\nAnswer: -0.01965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**2. Let s(n) = 3 + 33*n - 2*n**2 - 33*n. Let z(x) = -10*x**2 + 14. Let o be (-6)\/(-24) + 110\/8. Let h(d) = o*s(d) - 3*z(d). Calculate h(a(u)).\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4*y**3 + 0 + (-3*y + 0*y + 0*y)*(y**2 + 2*y**2 - 2*y**2) + 189 - 48*y**3 - 189 to c + b*y**3 + n*y**2 + l*y and give b.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27430902 divided by -3.\nAnswer: -9143634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38770 + 61070. What is l rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**9\/1008 - o**6\/120 - o**3\/6 + o. Let r(j) be the second derivative of z(j). What is the third derivative of r(m) wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3828, -15208, -34176, -60732, -94876, -136608, -185928?\n\"Answer: -3794*u**2 + 2*u - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 640\/11 or 57?\nAnswer: 640\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 62680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/7 and -23\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnnnuun. What is prob of sequence nnd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4139*r - 4. Let y be k(-2). Let c be ((-1)\/3)\/((-7)\/y). Suppose c = 5*n + 2*b - 1591, 15 = 3*b. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 12*s + 3744000. Round s to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -138, -135, -130, -123, -114, -103, -90?\n\"Answer: j**2 - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u - 94*u - 25*u.\nAnswer: -125*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 14*l + 23. Let o = 200 - 124. Suppose a - o = -62. List the prime factors of x(a).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118 + 131. What is the remainder when 51 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.36699 to 2 decimal places.\nAnswer: -24.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 0, -5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -15*i - 102. Let s = -122 + 109. List the prime factors of t(s).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000104608 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1648)\/12 + 3\/9. Let j = z - -258. Suppose q - 5*m - j = -2*q, 4*m - 214 = -5*q. What is the greatest common factor of q and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**4\/4 + 4*y**3 - 6*y**2 + 11*y - 9. Let l be j(-13). What is the units digit of (-1)\/l - 133\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.3, 24?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.024 - -0.176. Which is the fourth smallest value? (a) -0.07 (b) 2\/11 (c) 1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860843 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 11*v + 6. Let y(j) = -j + 4. Let k be y(10). Let r(c) = 45*c + 25. What is k*r(q) + 25*w(q)?\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -25565 - 4*v + v**2 + 28948 + 4*v as u + b*v + i*v**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (390\/104)\/(25\/(-40)*-13).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a. Let j be (-3)\/12 + (-292)\/(-16). Suppose -j = -6*z + 3*z. Let t(x) = 9*x - z*x - x - 4*x. What is t(o(y))?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2681 and -66?\nAnswer: 66.2681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*k = 235, 11*v + 5*k - 170 = 8*v. Suppose -34*w + v + 377 = 0. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.280731705 + 11?\nAnswer: 15.280731705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.6296 + 15.5995. Let d = 8.02 - s. Round d to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 15. Find the third derivative of -8*u**3 + 2*u**2 + 3*u**4 + i*u**3 wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 10:24 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 14*r + 13. Suppose 5*v + 15 = -50. Let c be g(v). Determine b, given that 2\/11*b**4 + c - 10\/11*b**5 + 10\/11*b**3 - 2\/11*b**2 + 0*b = 0.\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 + 84. Let a(s) be the first derivative of s**4\/4 + 7*s**3\/3 + 3*s**2\/2 - 4*s + 6. Does 10 divide a(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10208 + 224627\/22. Find the common denominator of c and -63\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 3*s**2 - 2*s - 1. Suppose 2*c = 3*a - 32, -4*c + 9*c = -a + 39. Let d = a - 16. Calculate n(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119732 + -59239. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 + 176*p**3 + 172*p**2.\nAnswer: 4*p**2*(p + 1)*(p + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 - 10 - -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = -7*h + 103 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 9699053?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12709967?\nAnswer: 67, 189701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 16, -4*v - 4*o + 47 + 9 = 0. Let k = 11\/204 + 287\/2244. Which is the third biggest value? (a) k (b) v (c) 0 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2 + 5*y - 4. Let d(l) = -11*l**2 + 9*l - 7. Let j = -475 + 472. Give j*d(h) + 5*k(h).\nAnswer: 3*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 5*n**2 - 66*n - 268. Let y be w(-9). Factor 0 - 1\/4*s**4 + 3\/4*s**3 + 1\/2*s + 5\/4*s**y - 1\/4*s**5.\nAnswer: -s*(s - 2)*(s + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + ba?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 22*r**2 - 188*r + 10. Calculate d(7).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a meter in millimeters?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136359 and 5057793.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1466 + 74 = 308*h. Put -5, 4, h, 12, -1 in increasing order.\nAnswer: -5, -1, 4, h, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**5\/7 + 759810*t**4\/7 - 8358122*t**3\/7 + 11397534*t**2\/7 + 20515464*t\/7 = 0.\nAnswer: -379916, -1, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 0.444.\nAnswer: -3.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 143. Let k(a) = -50425*a**2. Calculate i(k(v)).\nAnswer: -5085361250*v**4 - 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2425 (base 9) to base 2\nAnswer: 11100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w\/(w\/(w**(-1\/4)\/w*w*w))*w)\/w*w*(w*w\/(w*w**(2\/3)*w))\/w)**(1\/2)*(w\/w**1)**(-50)\/(w**(2\/5)*w**(-1\/3)\/w) assuming w is positive.\nAnswer: w**(79\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 7, y: 3, r: 6}. Give prob of sequence jzy.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 11*l**2 - 18*l - 195. Calculate u(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 t, and 1 k when three letters picked without replacement from tdnhhkdt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/4 - 382401*y\/2 - 48743508267\/4.\nAnswer: -3*(y + 127467)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1070 by -5.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/56 + 1874\/1904. Let h be (-9245)\/(-1428) - -2 - 2. Let z = j + h. What is the common denominator of z and 65\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4601.\nAnswer: 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w - 2. Let i be o(8). Calculate the highest common factor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15854188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-72)*(-1)\/((-15)\/3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y. Let g = 132 - 130. Suppose 22 = g*q + 12. Let z(j) = -4*j. Determine q*z(b) + 4*x(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21733*-0.319\nAnswer: 6932.827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20001111 - -1?\nAnswer: 20001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -d + 1621, -63*d + 61*d + 3214 = 4*i. Calculate the remainder when d is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 - m + 2. Let w be g(4). Is 21 a factor of 2*(1 - w\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 426 or 830?\nAnswer: 426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, q: 1, i: 2, a: 2, u: 1}. Give prob of sequence qu.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 20, 37, 62, 95?\n\"Answer: 4*o**2 - 3*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9839497.8 rounded to the nearest 10000?\nAnswer: 9840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/24 and 37\/3026840.\nAnswer: 9080520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5)*l**8)**(3\/10)\/(l**(-3)\/l**(2\/3)*(l**(-3\/5)*l)\/(l\/(l\/(l*l*l**(2\/7))))) assuming l is positive.\nAnswer: l**(8161\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573197411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(-1*sqrt(48)))\/(sqrt(528)\/sqrt(11)*2).\nAnswer: -sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 93 - 109. Sort -2, g, 5, 1.\nAnswer: -2, 1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/118313400 and 21\/6730?\nAnswer: 118313400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 299 - -304. What are the prime factors of z?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14296 and 80?\nAnswer: 142960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j - 74. Let n be k(-13). Suppose -63 = -v - n*c + c, -3*v - 5*c = -181. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 14*v**2 + 14*v - 10. Let j be o(-15). Solve -2*h = -j*p - 10 + 1, p - 3 = 2*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22805*g + 4176 + 2208 = 22007*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 3:41 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6823270261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 37045.68 centimeters?\nAnswer: 0.3704568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -857, -1665, -2473?\n\"Answer: -808*n - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23814 (b) 2\/15 (c) -0.029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 3*p + 1. Let r(y) = -y**2 + y + 1. Let l(q) = -4*r(q) + z(q). Let k be l(3). What is the greatest common factor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 8. Let g = y - 5. Suppose 0*r + 2*r - 2*i - 254 = 0, 0 = g*r - i - 377. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -286*f + 77. Let y(x) = -15*x + 4. Let d(o) = 4*q(o) - 77*y(o). Let a = 279 - 280. Calculate d(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*j, -4*i - 4*j + 9635 - 9647 = -2*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - o + 1. Let x(y) = -4*y**2 - 12*y + 12. Let l be -5*184\/220 + (-4)\/(-22) + 2. What is l*x(a) + 24*v(a)?\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -11*z + 2982. What are the prime factors of z\/14 + (2\/(-4) - -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 1. Let o(b) = 68. Determine -o(x) + 68*q(x).\nAnswer: -68*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/3 + 3412*u**2\/3 + 5654*u - 27216 = 0. What is u?\nAnswer: -1701, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1245\/86, 1\/4, -5, 4 in increasing order.\nAnswer: -5, 1\/4, 4, 1245\/86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pncnfnfbfncccc. Give prob of sequence pc.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:18 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 5, -0.01, -1\/26816?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(8\/3)*t**(-17))\/(t*t\/t**(11\/2)*t*(t\/((t*t**(-24)\/t)\/t))\/t))**(-39\/7) assuming t is positive.\nAnswer: t**(2873\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -39760952 divided by 77\nAnswer: -516376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85131*q**4 - 375*q**2 + q - 7.\nAnswer: -2043144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 - 3*q - 4 + q**3 in the form j*q**2 + c*q + l*q**3 + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 158 - 158. Solve 0 = 3*n - 4*c + 12, v = 2*n + c - 2*c + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-12)*16\/(-14))\/(168\/18)?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277017 is divided by 513.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41.111 and 45.9.\nAnswer: 1886.9949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1060041 and -0.5.\nAnswer: 530020.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6317999 litres in millilitres?\nAnswer: 631.7999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**3 - 205*s**2 - 10*s - 84. Determine q(41).\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 53 - 10. Differentiate 33*z + 27*z - p*z - 121 wrt z.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2852, 2853, 2854, 2855, 2856?\nAnswer: 2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -57, -179, -469, -999, -1841, -3067?\n\"Answer: -12*c**3 - 12*c**2 - 2*c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.58 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.5 - -2. Let o = -3.029 - -0.029. Let m = o - q. Sort m, -3, 4.\nAnswer: -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/322864 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 50180000 to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 8*f**2 + f + 34. Let t(i) = i + 3. Calculate the remainder when w(8) is divided by t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(8 - 3 + 1)*(-95*b + 307*b - 48*b).\nAnswer: 984*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 10, m: 3, c: 1}. Give prob of picking 3 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 902552 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 30. Put -3, -17.1, y in increasing order.\nAnswer: -17.1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/60 + a**4\/6 + a**3 + 2*a**2. Let p be q(5). Let y(u) = -u - 3. Let v be y(0). Sort v, 4, p.\nAnswer: v, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21005 (base 6) in base 10?\nAnswer: -2813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88.6603 litres?\nAnswer: 88660.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-63)\/120 - 4\/(-32))*30. Which is the smallest value? (a) 4 (b) 1 (c) -2\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5 + 47*d**2 - 4*d**3 - 5*d - 3*d + 14 + 3*d. Is i(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 take away 3308478?\nAnswer: -3308417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 1 + 6*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by 1.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-28)*f*(f**(-27)*f)\/f)\/(f\/(f\/f**(4\/11)))**19)**(-26) assuming f is positive.\nAnswer: f**(17134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 - (16 + -52) - -67 - 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 1066 + 2156. Suppose -11*o = -13*o + 8. Let p be v\/9 - o\/6. Round p to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40174?\nAnswer: 2, 53, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1074*m - 2 - 287*m + 496*m. Let l = -22 - -16. Let k be n(l). Round k to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5adb34 (base 14) to base 11.\nAnswer: -1835502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.2. Let z = h - 0. Let g = 14 + -12. Which is the nearest to 0.1? (a) g (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1 - (-15)\/4)*4 and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(3) + sqrt(3) + 1*sqrt(21)\/sqrt(7))**2.\nAnswer: -18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 42, 67, 94, 123?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3638 is divided by 140?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 7*z + 6 = 0. Suppose -8 + z = -b. Let o(l) = -l + 1. What is o(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210\/(-140)*(-1 + -1)*(-2775260)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215033093.\nAnswer: 11, 1777133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 + 3.8. Let l = -0.1 + 0.3. Let g = 0.4 - l. What is the closest to -1 in g, 0.4, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4)*(-265 - -11). Find the common denominator of (n\/(-15))\/((-48)\/40) and 49\/102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -119*i**2*n**2 - 73*i**2 + 2*i + 43*n**3 - 42 wrt n?\nAnswer: -238*i**2*n + 129*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 z, and 1 t when three letters picked without replacement from {m: 1, t: 1, z: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 253\/2 or 126?\nAnswer: 253\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 6. Calculate the remainder when 171 is divided by (-5)\/r + (-1750)\/(-100).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865112 is divided by 2552?\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*h + 278*h - 47*h - 24*h - 40*h.\nAnswer: 102*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 9. Determine w(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2968404 divided by -6?\nAnswer: 494734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 217850, 435702, 653554, 871406?\n\"Answer: 217852*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 162a (base 14) in base 2?\nAnswer: 111101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(-j**5 + 4*j**5 - 4*j**5 + (0*j**2 - j**3 + 0*j**2)*(-2*j**2 + 6*j**2 - 3*j**2)) - 378320 + 378320 + 12*j**5.\nAnswer: 16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16 and 30091.\nAnswer: 30107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 19*j**2 + 23*j - 11. Let y be h(20). Suppose 9*f = -4 + y. Find the second derivative of -138*i + 133*i - 11*i**5 + 7*i**5 - 9*i**f wrt i.\nAnswer: -260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08865 + 55.61265. Round m to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1163 = -10*r. Suppose r*y = 98*y + 187. Calculate the greatest common factor of 154 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 107, 126, 165, 230, 327, 462?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 15 - 3. Let l(n) = -4 - n - n**y + 2 + 9*n - 5. Suppose -o + 3 - 4 = -4*g, 0 = -2*o + 5*g + 4. What is l(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -7*j - 32. Differentiate -9 + 3 - 6 + 2 - j*x wrt x.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 3*g + 140. Sort g, 2, -2, 1 in increasing order.\nAnswer: g, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2293 + 5356. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 663*s. Let d(c) = -6*c**2 + 5*c + 10. Let x(f) = -14*f**2 + 12*f + 24. Let n(m) = 12*d(m) - 5*x(m). Determine n(i(p)).\nAnswer: -879138*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1746172274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75840*p + 1 - 1 + 151705*p - 75863*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3782 - 3477. Let w be -306 - (-1)\/(3\/6). Which is greater: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 - 17*n + 17*n)*(4*n - 10*n - 27*n).\nAnswer: 132*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - (sqrt(720) + (-4 + sqrt(720))*-1) - (sqrt(60)\/sqrt(6)*-2)\/sqrt(2))*1.\nAnswer: -4 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331435 (base 8) to base 7.\nAnswer: 642515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/1*16\/12. Let g = b + 57. Find the common denominator of -3\/2 and 3 + (g\/(-15) - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -241 and -46551\/194 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -111010010001011110010 (base 2) in base 7?\nAnswer: -22142012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 127\nAnswer: -4\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -340*s**3*x**2 + 37*x**2 - 3 wrt s?\nAnswer: -1020*s**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/5 + 64*b**3\/5 + 438*b**2\/5 + 676*b\/5 + 304\/5 = 0 for b.\nAnswer: -4, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 40 = -u + 7*j, -21*j + 17*j - 34 = 11*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 0*v**4 - 6 + 2\/3*v**3 + 0*v + 0*v**6 + 0*v**5 + 0*v**2 - 3\/7*v**7. Find the third derivative of f(w) wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65, 119, 161, 185, 185, 155, 89, -19?\n\"Answer: -q**3 + 61*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 6\/((-24)\/(-20)))*1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - g + g)*(-1 - 4 + 3)*(0 + 0 - g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00491 less than -332473765?\nAnswer: -332473764.99509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2\/4 + 11239*x + 764541\/4 = 0.\nAnswer: -17, 44973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 0*c**3 - 26*c**2 - c + 6\/5*c**5 - 1 + 0*c**4. Find the first derivative of z(p) wrt p.\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 14) to base 7.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 - 0.11. Let n = 2.8 - u. What is the second smallest value in n, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 + 0 + 0)*((10 - 10 + 5*v)*(-7 + 1 + 0) - 2*v + 2 - 2).\nAnswer: 64*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2 + 18*o - 64. Calculate n(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 630 - 8017. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + 3 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (52 - 27 + 42)*(-2 + 0 - 2)*(3*q + 2*q - 4*q) in the form k + o*q and give o.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -9) + 4 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 79, 107, 149, 211, 299, 419, 577?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4267 in -2\/417, 1\/5, 0.16?\nAnswer: -2\/417","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*n = -112*n + 1539391. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 18 = 2*c, 3*p - 6*p + 4900 = -c + 2*p + 4885 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*b - 27962 = 209*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -348 plus 54226637?\nAnswer: 54226289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8195933, 8195900, 8195869, 8195840, 8195813, 8195788, 8195765?\n\"Answer: y**2 - 36*y + 8195968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1 - 6 - 5*p - 2*p. Let s(m) be the third derivative of 5*m**4\/6 + 7*m**3\/3 + 977*m**2. Determine -17*l(u) - 6*s(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 76, -5, 22 in descending order.\nAnswer: 76, 22, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 9*c + 10. Let w be p(9). Let b be 2\/(w\/95 + 0). What is the second derivative of 5*k**3 - 2*k**3 + 341*k**2 - b*k - 341*k**2 wrt k?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667856500?\nAnswer: 2, 5, 373, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069917247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1. Let o(x) = 2*x - 2. Calculate o(y) - 3*s(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7973, -16019, -24065?\n\"Answer: -8046*d + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 591*o + 303*o = -292*o - 44, -5*h - o = -5*h - 1 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 2*i**2 - i - 3. Let s be f(3). Is 321\/2*((-55)\/s - 3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -0.03 (c) 0 (d) 0.27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 at least as big as 2529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276518 + -460.53.\nAnswer: 276057.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 119 = 205. Solve 3*u - 3*v = f, 4*v = -2*u + u - 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**2 + 4618 - 4618 + 4*f**2. Let z(l) = 172*l**2. Determine z(p(s)).\nAnswer: 688*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**3 - 10330*x**2 - 5251845*x + 86694480 = 0.\nAnswer: -1041, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - t**2 - 2*t + 1. Let j(z) = 11*z**3 - 3*z**2 - 18*z + 44. Let n(l) = -2*j(l) + 18*q(l). Find the first derivative of n(m) wrt m.\nAnswer: -12*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13853, 55393, 124623, 221543, 346153?\nAnswer: 498453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44 + 13?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1689530 divided by 2?\nAnswer: -844765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + -2 - 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m - 4*t = -84, -4*m + m + 67 + 9 = -m + 20*t - 3*t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a. Suppose -20 = -4*m - s, -4*m + 13 + 7 = -3*s. What is n(m)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 840075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0)\/(1\/(-14)). Suppose 5*u - 3*b = 16, -5*u - 2*b = 3*b. Calculate the highest common divisor of u and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*b - 394 = -2*w, 2*b - 376*w = -371*w - 41 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w**2 + 12*w - 5. Let g(n) = 10*n**2 - 18*n + 7. Let o(i) = 7*d(i) + 5*g(i). Give o(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 654.7 * 15.2.\nAnswer: 9951.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 10*n**3 + 4 + 35 + 21*n**2 + 1 as p + h*n**3 + a*n**2 + z*n and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4 - 4326*y**3 - 105057*y**2 - 724620*y - 1539300 = 0. Calculate y.\nAnswer: -14, -5, 1466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*j + 114*j = 309*j - 264 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203405021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(136))\/sqrt(8))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9082195 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/(f*f**(1\/6)))**(-23)*(f*f**0)**15*(f**(-2\/7)\/f)**(-6\/11) assuming f is positive.\nAnswer: f**(9025\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55616 divided by -4.\nAnswer: -13904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 413254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = c - 3. Suppose -5*m - 5 = -0*m. Let g be 0 + (0 + m)\/(-5). What is the closest to 0 in c, 3\/8, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.3 - -24.3. Let u = 0.1 + 5.9. Let l = -7.1 + u. Is l not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, c: 2, w: 2, g: 6}. Give prob of picking 2 w and 2 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27744600 rounded to the nearest one hundred thousand?\nAnswer: 27700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 2232310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 1)*162\/540. Factor -12\/5*y - 3\/5*y**4 - z - 18\/5*y**2 - 12\/5*y**3.\nAnswer: -3*(y + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {m: 3, h: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 173\/24*d**4 + 0*d - 256*d**2 + 12\/5*d**5 + 0 + 0*d**3. Find the second derivative of u(w) wrt w.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7)\/(((-648)\/63)\/9)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -849390, 2\/7, 1 in descending order.\nAnswer: 1, 2\/7, -849390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 683563, 683571, 683579, 683587?\nAnswer: 683595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 4:12 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/7 + -5\/21. Let p = -18 - -18.5. Sort p, -5, h.\nAnswer: -5, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044467102 a multiple of 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h**2 - 11*h + 7. Calculate o(4).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.141 and 9558?\nAnswer: 1347.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnqqoqttdnqtyynnyqn. What is prob of picking 1 d and 1 o?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21570145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6\/2)\/((-18)\/108*3312\/8)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000055 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/59 + 77\/354. Put k, -10, -1\/2 in increasing order.\nAnswer: -10, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oeofobe?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.00873 + 0.39127. Let j = 38 - 42. What is the second smallest value in 9, j, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*10\/(-60)*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53656130 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2040 and 50?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r*t**6 - 2192*r*t**2 + 4*r - t**4 + 2998*t**3 wrt t?\nAnswer: -480*r*t**3 - 24*t + 17988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 3*b**2 + 8*b + 3. Let u be i(-5). Let d(g) be the third derivative of g**5\/60 - 13*g**4\/24 + g**3\/6 + 9*g**2 + 518*g - 7. Give d(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 1133 = 1265 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0 = -8. Suppose 2*b - 5*g - 27 - 40 = 0, x*b - 57 = 3*g. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32 + 0 + (2 - (4 - 3)). Is 33 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x = 2*p + 12, 3*x + 5*p = -6. Solve -15 = 3*r - x*c, r - 5*r + 1 = 3*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 8640.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 212\/3. Let w = -20\/39 + z. Let g = -0.3 - -0.1. Which is the nearest to 1\/2? (a) -3 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15611 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2b171b (base 12) to base 13\nAnswer: 1c679c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3, -1\/134, 2\/7, -0.12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-43 - 89) + 49.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 2 - (-18 - (-9)\/(-3)). Suppose 95*s - 97*s - x = 0. Which is the fourth smallest value? (a) 1 (b) 0.1 (c) s (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*p - 33*p - 50976 = 0. What are the prime factors of p?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*q - 4, a + q = -2*q + 7. Which is smaller: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 193 = -2*f, j + 3*j - 5*f = -262. Let p = j - -70. Calculate the least common multiple of 3 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l**2 - l + 1. Suppose 0 = -k + 5*o - 2, -o = k + 2. Let z be y(k). Let m = z + 50. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f**2 + f + 1. Let v be r(-2). Let m = v + 22. Let b = m - -21. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d + 4. Let a(j) = 8*j + 5. What is 5*a(f) - 6*c(f)?\nAnswer: -8*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112101 + 11?\nAnswer: -112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 2\/(-7))*(-98)\/((-13524)\/(-345))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1 + 2 + 8\/(-2). Let u = 87 - n. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f + 29. Suppose 0 = 2*t + 4 - 0. What is the remainder when v(-11) is divided by ((-1)\/1)\/(t\/34)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.9 (b) -2\/19 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 0.832434?\nAnswer: 1.332434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 404467411 a multiple of 1162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 31. Calculate u(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lslr when four letters picked without replacement from klkggkdklkrlslll?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380991837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332196 by 282.\nAnswer: -1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-1)\/(-2)*14. Suppose 2*i - l = -1. Let z = i + 15. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12*q**2 - 5*q + 5. Let f(h) = -12*h**2 - 4*h + 4. Let c(n) = 4*f(n) - 3*y(n). Let d be c(1). Let s = d + 25. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -5*b + 11, 108*t + 13 = 113*t + b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a gram in milligrams?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -4220992\/31 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -49. Let o = -1 + g. Solve -4*t + 15 = 5*k, -k + o - 41 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/6398 and 17\/11.\nAnswer: 70378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9)*l*(l*l\/l**(2\/17))\/l)**34 assuming l is positive.\nAnswer: l**(508\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*a - 206 = -2*a, -i = -4*a + 61. Let t = -37 - i. What is the remainder when 30 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81 - 218 - 162)*(-p + 0 + 0)*(-1 - 1 + 3).\nAnswer: 299*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*y + 51. Let n be ((-6)\/(-4))\/(9\/y). Let b(i) = -i**3 - 8*i**2 - 8*i - 3. Let l be b(-7). Solve n*z + 24 = l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 - 119.38. Let f = 0.72 - w. Which is the closest to f? (a) -1\/5 (b) -1\/3 (c) -9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 516 - 518. Let w = 338.5 - 339. What is the second biggest value in w, m, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j + 2 + 10*j**3 + 3 - j**3 + 175*j**2 - 170*j**2. Let w(z) = -44*z**3 - 24*z**2 - 24*z - 24. What is -24*u(k) - 5*w(k)?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + 2*a**3 - a**3)*(1 + 4 - 3)*(-2*a + a + 3*a).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 10*x - 20. Let y be m(6). What is the second derivative of 123*c**y - 115*c**4 - 71*c**4 + 220*c + c**2 wrt c?\nAnswer: -756*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25623*g - 25042*g = -31955 for g.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**4)\/k)\/(k\/(k\/k**(-1))))\/(k**(-1)*k**(-5)\/k) assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-2)*28\/(-98))\/((-6)\/27).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/26 + -12*(-871)\/2028. Suppose 4*z = 5*z - 6. Suppose -u*d + z*d - 2 = 0. Solve 6 = -3*p - 3*b, 0 = 3*p + 3*b - d*b - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 = -3*m - 25, 2*m + 18 = -j. Let z(k) = k - 6. Let r be z(10). What is the remainder when 45 is divided by (-90)\/(-4) - r\/m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 9:31 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*o**4*y + 28*o**3*y + 2*o**2*y + 2*o**2 + 193 wrt o?\nAnswer: 1344*o*y + 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 9:28 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**(-3\/4)*l*(l*(l*(l*l\/(((((l*l**(-7\/2))\/l)\/l)\/l)\/l*l))\/l)\/l*l)\/l)\/(l**(1\/4))**48)**16 assuming l is positive.\nAnswer: l**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 5. Let s be y(-4). Let m = 12 + 18. Suppose -5*c + k = -77, c - s = -5*k + m. What is the remainder when 47 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -274\/7873?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(143)\/(sqrt(77)\/sqrt(7)) + 4 - (5 + sqrt(39)\/(sqrt(12)\/(sqrt(4) - 3*sqrt(4)))))**2.\nAnswer: -6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5396002118 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*w + 3*j + 3227 = 138*w, -3*w + 2*j + 4828 = 0. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -18\/5, 2, 0.22 in descending order.\nAnswer: 2, 0.5, 0.22, -18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-50190)\/245)\/((-27)\/(-12)) + ((-1798)\/609 - -3)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -21. Suppose h*j + 2*t - 9 = 5, 2*j - 2*t = 4. Solve 6 + 0 = j*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 28 - 8. Let c be 2\/1*(-3 - b). What is the third derivative of 6*d**2 - 6*d**c - 2*d**6 - 2*d**2 wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -713, -712, -705, -686, -649, -588, -497?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -1, -91, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 3*w**2 - 2*w + 1. Suppose 11*h = 4*h + 70. Suppose 2*f - 4*p - h = f, -f - 3*p = 4. What is c(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + 6. Let x be n(5). Calculate the highest common factor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 13*s - 30. Let x be k(-8). Let h be 2 + -8 + 5 - x. Solve 1 = -h*l - 3*v, 12 = 4*l - 5*v - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2042 + -3297. Is 8*4\/((-80)\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.7 and 0.14?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689388 is divided by 137865?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -5*p**2\/2 + 2. Let j(a) = 4*a. Give b(j(h)).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 567 and 204?\nAnswer: 38556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*o - 3*a + 139, -59 = 2*o - a. Let d = 49 + o. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:19 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5000137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3140 = -1084*p + 628*p - 27412 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from {j: 1, c: 1, m: 1, l: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121303 + 5?\nAnswer: 121312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 146705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 34*x + 17*x - 2*x**3 + x**2 + 17*x as v*x + s*x**2 + m + g*x**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**5 + 7*g**3*z**2 + 107*g*z**2 - g*z wrt g.\nAnswer: -40*g**3 + 42*g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1615 and 11875.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188322 is divided by 6581.\nAnswer: 4054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 - 18*m**2 + 17*m - 133. What are the prime factors of q(-16)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 35\/162 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20\/72*106*(28050\/375 + -76)\nAnswer: -106\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1. Let d(f) = -14*f**2 + 2*f - 1. Let v be d(1). Let g = c - v. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n*s**3 - 2*n*s - 3*n + 3*s*x*z - 38*s*z + 59*x*z - 2*z with respect to s.\nAnswer: -9*n*s**2 - 2*n + 3*x*z - 38*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -112, -233, -382, -547?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 l, and 1 p when three letters picked without replacement from lapvv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {n: 4, o: 1, d: 2, v: 1, r: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-12)\/18) - (0 + 3*58). Which is the biggest value? (a) u (b) 0.03 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 3058848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23144 (base 11) to base 13\nAnswer: -122b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1091389 and 20872.\nAnswer: -1070517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, i: 3, d: 7, q: 3, l: 2, y: 1}. What is prob of picking 1 y and 1 e?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 0*t**3 + 2*t**3 - 11*t**2 - 11 - t + 1 - 3*t**3. Let c be n(-11). Which is greater: c or 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 w, and 1 j when three letters picked without replacement from grggjgjjwj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1891, -355, 2197, 5759, 10325, 15889?\n\"Answer: -s**3 + 514*s**2 + s - 2405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -97 - (-3 + 6)*1. Let b = a + 233. Let o = b - 95. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7524 - 7498. Solve -g = -5*o + 18*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.37 or -20?\nAnswer: 3.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 8:04 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3327062*-21\nAnswer: -69868302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-62)\/(-210) - ((-12)\/20)\/(-3). Let d = 61\/2 - 1035\/34. Which is the third smallest value? (a) d (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 - -1?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.51 - -8.51. Which is the second biggest value? (a) -2\/7 (b) -2\/11 (c) i (d) 1\/75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d**3*n**3*p**2 - 20*d**3*n**2*p - 2*d**3 + d*n**3 - 3*n**3*p**3 + 2*n*p**3 wrt n?\nAnswer: -30*d**3*p**2 + 6*d - 18*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 - 2*u - 1. Let m be q(-1). Let p(r) = -3*r**3 - 3. Let y(x) = -6*x**3 + x - 7. What is m*p(i) - 2*y(i)?\nAnswer: -3*i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 404 by -3.\nAnswer: -404\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehvp when four letters picked without replacement from heuvcpuvppv.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35072 is divided by 142?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210124042 - -10?\nAnswer: -210124032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4728 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: Add together 13 and -5134275.3.\nAnswer: -5134262.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*j**2*p**2 + j**2*p - 128*j**2*u - 5*j**2 + j*u - 6*p*u wrt p?\nAnswer: -56*j**2*p + j**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1195352813 and 13.\nAnswer: 1195352826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/24*(-8)\/90?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*o + 3*o + 274 = 0, 4*a + o + 388 = 0. Is (-1)\/7 - 30786\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2 - 39*m + 66 = 0.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.310988km?\nAnswer: 7310.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/16 - (-927)\/72. Let z = 15 - b. Let d be z\/(-9) + (-4)\/(-18). Solve d = -5*s - 7 - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 736608*g**3 + 193654*g**2 wrt g.\nAnswer: 4419648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1.3 (b) 2\/9 (c) -139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**5\/20 + 5*b**4\/12 + 11*b**3\/6 + 13*b**2 - 4*b + 67. Determine s(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2939363 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66043446 - -4?\nAnswer: 66043453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 2*h = 7*f + 20, -3*h = f + 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uve when three letters picked without replacement from {m: 1, e: 1, s: 1, u: 1, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -785687, -3146310, -7080681, -12588800?\n\"Answer: -786874*t**2 - t + 1188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -53 + 11\/12*c**4 - 2*c + 1\/40*c**5 + 35\/3*c**3 + 50*c**2. Suppose a(k) = 0. Calculate k.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 3*a**2 + a**2 - 5*a**2. Let l(u) = -7*u. What is x(l(t))?\nAnswer: -147*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 58043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 45862506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0648 plus -166229?\nAnswer: -166228.9352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171764.\nAnswer: 2, 23, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 1, t: 1, k: 1, d: 1, y: 2}. What is prob of picking 1 t, 1 k, and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(-2*(0 + sqrt(1872)) - sqrt(1872)) + (sqrt(1872) + 1)*5*2*-5)**2*-1.\nAnswer: -7198468 - 74400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -40, 6, -6, -1.\nAnswer: -40, -10, -6, -5, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykj when three letters picked without replacement from ylkjjjy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1146 + 5?\nAnswer: -1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(4 + (-682)\/172)*-2. Is g equal to 344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107405*c**3*x**3 + 28*c**3 - 801358*c**2*x**2 + 3*c*x**3 - 2*x**3 + 2 wrt c?\nAnswer: -644430*x**3 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 + 4*a**3 + (-4*a**3 + 4*a**3 + 2*a**3)*(-3 - 3 + 5) + 3*a**2 - 2*a**3 - 3*a**2 + 77*a - 57*a**3 - 77*a as t*a**2 + r + d*a + h*a**3 and give h.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -330 + 45. Let x = -406 + 407. Calculate the common denominator of -55\/27 and i\/(-30) + (0 - x)\/(-3).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 132788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 + 16*m + 1. Let i(s) = -2*s**2 - 8*s - 1. Let y(w) = -3*g(w) - 7*i(w). What is the remainder when y(8) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1053 + 568. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 3, -8, -23, -42, -65, -92?\n\"Answer: -2*u**2 - u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 142377 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 121, 473, 1053, 1861, 2897?\n\"Answer: 114*c**2 + 10*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (1*(-48)\/40 + 22569\/(-5)) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*v = -3*v + 5, v = 5*r + 30. Let i = -0.15572 - -0.05572. What is the biggest value in r, i, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3125285?\nAnswer: 5, 625057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8778164, 8778163, 8778162, 8778161?\n\"Answer: -i + 8778165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145 + 293. List the prime factors of w.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 104d4 - 2?\nAnswer: 104d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/11 > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2338035 and 40441118?\nAnswer: 42779153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18358, -36706, -55052, -73396, -91738?\nAnswer: -110078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4744*m + 1 = 3*f - 4743*m, -13*f = -3*m + 69 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 26 - 49*x + 27 - 87.\nAnswer: -49*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -667 - 2a684?\nAnswer: -2b12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v. Let d(s) = s**3 - 5*s**2 - 6*s + 2. Let c be d(6). Suppose -2*z - 1 + 22 = 5*o, -z - o + 6 = 0. Let h(y) = z - 3 - c*y. Give h(j(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 3) to base 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {k: 5, t: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140431 (base 7) to base 12.\nAnswer: -134b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130369 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 22\/(-5)) + 4\/(-10). Suppose 4*y = j*d + 564, -3*y + 168 = d - 250. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 - 4*x**5 + 0*x**3)*(-1 + 6 - 3) - 8*x**5 + 7*x**5 + 18*x**5 - 20*x + 9*x**2 - 2*x**5 - 9*x**2.\nAnswer: 7*x**5 - 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 21*b**2 - 1016*b + 187. What is the hundreds digit of c(55)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75639756 divided by 619998?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -270, 2, 0, 5 in descending order.\nAnswer: 5, 3, 2, 0, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 9*h**2 - 1354*h + 1344.\nAnswer: (h - 32)*(h - 1)*(h + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 353 - -21. Find the first derivative of -39 - w*a - 394*a + 805*a wrt a.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a395 (base 11) in base 5?\nAnswer: -420102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -8*y + 4. Suppose -4*q + 28 = 4*f, -y*f - 23 = -5*q - 3*f. Suppose 33 + 557 = j - m, 0 = 4*j + q*m - 2333. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.072 and 1640?\nAnswer: 118.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5 + 5. What is the second derivative of -s*m**5 + 0*m**2 - m**2 + 4*m + m**2 wrt m?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38, -28, -4, 40, 110, 212?\n\"Answer: m**3 + m**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 715 a factor of 904632373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60735, -60775, -60815, -60855?\n\"Answer: -40*u - 60695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/3 in -2\/51, 0.4, 9, -10\/3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k - 13. Suppose -2*j + d = 72, 5*j + 3*d = -d - 193. Let o be (2 + 9\/(-6))*38. Let r = j + o. Let f(b) = b - 3. Determine r*f(w) + 4*g(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 20 = -5*h, -2*l - 1 = 5*h - 10*h. Let d be (1\/(-3))\/(1\/(-3)). Let o be 0 + d\/2 + -1. Which is the biggest value? (a) 1 (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let h(u) = u - 2*u + 6*u + 0*u - 483 - 4*u. Calculate w(h(i)).\nAnswer: i - 483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 496, 743, 988, 1231?\nAnswer: 1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-28 - -7 - -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1910 and 2955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qid when three letters picked without replacement from {d: 4, i: 8, q: 1, l: 1, e: 1}.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2723, -10875, -24419, -43319, -67539, -97043, -131795?\n\"Answer: 6*y**3 - 2732*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/15 - 65176*g\/5 + 1592966616\/5 = 0.\nAnswer: 48882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6117*c**3 - 6119*c**3 + 12194*c**3 + 38*c**2 to the form v + g*c**2 + p*c + k*c**3 and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*g - 43145 = -264146. What are the prime factors of g?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(57\/(-190))*(-9)\/3285.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -15 + s - 3*s + 16. Let o be d(-6). Suppose b - o - 8 = 2*j, -5*j = -b + 6. What is the remainder when 120 is divided by b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - (sqrt(99) + -3*sqrt(99)*4)) - ((sqrt(99) - 4*(sqrt(99) + -3*sqrt(99))) + sqrt(99) - sqrt(99)))\/(sqrt(144)*2 - -4*sqrt(9)*3).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4919 divided by -913?\nAnswer: -4919\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 5*x**2 - 8*x - 5. Let h(p) = 22*p - 93. Let g be h(7). Suppose g + 5 = -11*j. Give z(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -1)\/((-8)\/(-12)). Suppose -8 = -p - 3*u, j*u - 7 = -4*p + 25. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27201259, -27201258, -27201257, -27201256?\nAnswer: -27201255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31973 divided by -12?\nAnswer: -31973\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20062 by -1433.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -18 - 2*y + 0 + 2*y - 23*y. Is p(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1236812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002066235998 rounded to six dps?\nAnswer: -0.002066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40879 is divided by 81.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -238*t - 4200. Give g(-15).\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 - 30*m**4 + 12*m**4)*(2*m - 2*m + 2*m) + 1 + 66*m**5 - 1870330*m**3 + 4*m**4 + 1870330*m**3.\nAnswer: 36*m**5 + 4*m**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + o**2 - 1. Let f(p) = 30*p**3 + 32*p**2 - 3. Let d(z) = f(z) - 3*t(z). What is the third derivative of d(h) wrt h?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 65. Suppose j = 4*d - 97 + 5. Let t = 48 - d. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2296174 is divided by 483?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -13*l**3 + 7*l**2 - l + 1. Let m(n) = n**3 - 2*n**2 - 3*n. Let d(t) = 2*t**2 + 4*t. Let r(x) = -3*d(x) - 4*m(x). Calculate -7*r(f) + 2*s(f).\nAnswer: 2*f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 + 7 + 2 - -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**2\/5 + 1164*w\/5 - 169362\/5 = 0?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + 0.1. What is the nearest to 1 in -3, -3\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 4906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 3, -5, 343798, 0 in descending order.\nAnswer: 343798, 3, 0, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/8 - (-22)\/8. Suppose 5*f - 170 = -2*h, -o*f = f + 3*h - 102. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 - 4*m\/3.\nAnswer: 2*m*(m - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12048, 48190, 108410, 192708, 301084?\nAnswer: 433538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 883.632 milligrams in grams?\nAnswer: 0.883632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 9:52 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3438985 and 1104840.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21a8 + -4?\nAnswer: 21a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, -15, 0.5 in descending order.\nAnswer: 0.5, -0.12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1067 - 13231 = -g, b = -g + 4054. Suppose -7*d + b = -3043. Does 26 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 i when three letters picked without replacement from {i: 6, h: 12}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*r + 52. Let y = 2 + r. Is y equal to 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (372\/184884)\/((-7)\/(-98)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 1. Let g(i) be the second derivative of 5*i**3\/6 + 3*i**2\/2 + i. Let x(o) = -g(o) + 3*w(o). Find the first derivative of x(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1074744\nAnswer: 1\/537372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 3*k**2\/2 - 19*k - 477. Let n be 40\/6*12\/10. Let z be r(n). Solve z + 5 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pee when three letters picked without replacement from eeeieepeeee.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 + -106. Let v = p + -27. Calculate the lowest common multiple of v and 34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15 - 2) + -3 - -15) + 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21c (base 16) to base 14\nAnswer: 2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23853, -23867, -23881, -23895, -23909?\nAnswer: -23923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.152 + -8.912.\nAnswer: -9.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + f. Let c be i(0). Suppose c*a - 4 = a + 2*g, -5*a + g + 2 = 0. Suppose a = -6*b + 2*b. Sort 5, -2, b in ascending order.\nAnswer: -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4 + 10042*j + 8 + 4.\nAnswer: 10042*j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 32084592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10966 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -6 - -2 - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzntnnpnt. Give prob of sequence nt.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 1 - 1)*(0 + 0 - 5*y)*(3 + 2 - 7)*(4139 - 4139 + 76*y) as m*y**2 + r + f*y**3 + d*y and give f.\nAnswer: 1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 1. Let w(g) = g**3 - 6*g**2 + g - 1. Let f(d) = 3*c(d) - w(d). Let a be f(4). Calculate the remainder when 59 is divided by 1\/2 + 273\/a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -802001\/171 - -4690. Let c = -3808\/27 + 428\/3. What is the common denominator of l and c?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 1 - 3*4\/(-24). Which is the third smallest value? (a) q (b) 4 (c) 0.5 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 1 + 3 + s)*(-2*s + 1 - 1 + 2).\nAnswer: -4*s**2 - 4*s + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 2*s - 3*s)*(3*s**4 + 2*s**3 - 2*s**3).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -46, -103, -182?\n\"Answer: -11*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1351676*p - 2703355*p - 2 + 1351676*p.\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**4\/24 - 69*t**2\/2 + 19. Let y(r) be the second derivative of f(r). Let i(g) = 7*g**2 - 3*g. Calculate i(y(z)).\nAnswer: 7*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*-15*(-2)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1946089 divided by -6.\nAnswer: 1946089\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0744098 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - ((-30 - -34) + -9).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**5*(u\/((u**(-1\/4)*u)\/u))\/u)\/(u**(9\/4)*u**(-9)))\/((u**0)**37*u**(-2\/3)\/((u\/(u**(-2\/3)*u))\/u*u)) assuming u is positive.\nAnswer: u**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20 times 0.5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhhphhhh?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 32 = 0, 5*t = -77*r + 79*r + 798911. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000114796 rounded to six decimal places?\nAnswer: 0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(32) - (sqrt(128)\/sqrt(4) + -3) - sqrt(32) - (sqrt(192)\/sqrt(96) - sqrt(32)))**2 + -3.\nAnswer: -6*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/24)\/(-7)*254. Let g = 42 - i. Suppose 4*z = 5 - 1. Which is the nearest to -0.1? (a) g (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75698 + 49941. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 0) + (11 - (-1)\/1). What is the highest common divisor of w and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {q: 7, a: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 11:14 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 316, -22, 4\/5 in increasing order.\nAnswer: -22, -0.4, 4\/5, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n - 3. Let r(f) = 13*f + 0 + 0 - 2 + 80*f - 88*f. What is -10*r(p) + 6*x(p)?\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56121378 is divided by 644.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from uaiuljliulajljll?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**2\/2 + 4*k + 1. Let m be z(3). Let f(q) = -20*q + 6 + 42*q - 12*q + q**3 - 1 - 8*q**2 - 5*q. What is f(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 6. Suppose -4*b = b - 20. Suppose p - 165 = n - 172, 3*n + 3*p = 9. Solve -4*v + 8 = b*h, -n*h = -2*h + f*v - 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 529637 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + a - 17. Let m be 2*4\/(-8)*-1*10. What is the units digit of d(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -289 - -293. Suppose 0 = -4*c + i + 753 + 952, 5*c - 2134 = l*i. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14654 + 28807 - 14153 - 176*x**2 + 60*x**2.\nAnswer: -116*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2 + 23. Let w be (1\/o)\/(2 - 1). Find c such that -1\/5*c**3 + 2\/5 - 2\/5*c**2 + w*c = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -38*l**3 + 141*l**2 + 26*l - 4. Calculate g(4).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-70)\/(-15) - 4)*(-9)\/(-2). What is the closest to 4 in 1\/3, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21634, -21683, -21732?\nAnswer: -21781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168 - 150. Suppose p - 3*t + 0*t - 3 = 0, -4*p - 3*t = m. What is the nearest to -1\/4 in -0.9, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*n**2*y + 5*n**2 + 2*n*y + 26*n wrt n.\nAnswer: -18*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1634?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-324)\/(-756))\/((297\/7)\/11)*2\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-9)\/13 - 4\/26. Suppose -7*w + d*w = -7797. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2595 (base 10) to base 8\nAnswer: 5043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:02 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -43*v**2 + 22*v + 89. Let s be p(-5). Let h be 290\/s - (4\/(-16) - 0). Let u be -1*0*(-1)\/2. Which is bigger: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 - 3.68. Let l = z + 0.08. Let m be (-36)\/108*12\/(-34)*1. What is the closest to 0.1 in l, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77745?\nAnswer: 3, 5, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.066162.\nAnswer: 0.33081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16601 - 12985. Calculate the highest common factor of h and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*((-435)\/30)\/29.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1320*k + 20. Let p be f(-8). Suppose -5*w + 11505 + p = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times 11.435\nAnswer: -1.02915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62917034*b**3*m**3 - b**3*m**2 + 4*b**2*m**3 - b**2*m**2 + 240656*b*m**3 + 115*m**3 - 2*m wrt b?\nAnswer: -377502204*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -7. Let m be (5\/(-4))\/(d\/4). Suppose -m*b + 3*b = -6. Put -13, b, 2\/5 in decreasing order.\nAnswer: b, 2\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13772 and 1838121.79.\nAnswer: 1824349.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5*227855\nAnswer: -1139275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -806 + ((-12)\/(-42) - (-222)\/(-42)). Let v = 827 + g. Which is smaller: v or 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 - 9*f**2 + 7*f + 4. Let x be u(6). Suppose -2 - 6 = y. Let k be (8 - (1 - y))*-22. Calculate the highest common factor of x and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 235, 3\/11, 6\/83?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + -0.1. Let b = -34394.95 - -34396.9500002. Let g = b + y. Round g to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -11*r**2 - 9*r + 4. Let c be 6\/8 - (-5)\/4. Let s(j) = 3*j**2 + 2*j - 1. Let z(w) = c*m(w) + 9*s(w). What is the derivative of z(k) wrt k?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 + -56. Suppose 0 = -34*y + j*y. Solve y = -4*k - k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -c4 (base 15) in base 7?\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10996 - 7161. Let t be (-2)\/7 - (-443187)\/(-63). Let q = t + h. What is q rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*4441175.\nAnswer: 444117.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 3.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/12)*b)**(-2\/31))**(-9\/11) assuming b is positive.\nAnswer: b**(3\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 18. Let a be t(-13). Suppose 153 = 5*r - a*w - 302, 3*w + 447 = 5*r. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-12))\/(-1*(-65)\/(-39))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35632 and 303361940?\nAnswer: 8908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*r = -7*v + 40, 4*r = 20. Let w be 2*(28\/(-8) - -5). Let j(l) = 0*l**3 - 1 + 54*l - 5*l**2 + l**3 + 0*l**w - 50*l. What is j(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58\/17 - -4\/51. Calculate the common denominator of u and -47\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/42*(-3417)\/(-134).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times -0.56\nAnswer: 0.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 660113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkn when three letters picked without replacement from {n: 2, k: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(891) - sqrt(891)) + -3 - (4*sqrt(891)*1 + -1*sqrt(891) + 0)**2.\nAnswer: -8022 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 5*p = v - 5, -5*p - 20 = 0. Suppose -318 + 295 = -5*w - 4*m, 0 = -6*w + m - 13. Put w, v, -3 in decreasing order.\nAnswer: v, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 6*t**2 - t + 8. Let v be o(-6). Suppose -4*q + v = -14. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) + (sqrt(165) + 2*sqrt(165))*-5)\/((sqrt(132)*2)\/sqrt(12)))\/(sqrt(162)\/(sqrt(672)\/sqrt(7))).\nAnswer: -28*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n - 3 - 6*n - 10*n + 9*n - n**2. Determine c(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/7))**(-1))**(-1\/38))**(-4\/13) assuming t is positive.\nAnswer: t**(-4\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83294096 = 3*g + 3*i + 70125898, -3*g - i - 153419998 = 0. What is g rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x - 2 + 5*x**3 + 4*x - x**3 + x**2 - 5*x**3. Let t be (-2)\/(-1 + 15\/9). Let p be m(t). Calculate the highest common divisor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8660839 and 3201?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75542623?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.4 (c) 0.16 (d) 1473\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(1\/15)*c)\/(c*c*c**(-1\/9)))**(10\/13)*(c*c\/(c**1\/c))**(1\/31)*c**(-3\/7)\/c*c\/(c**(-3\/7)*c) assuming c is positive.\nAnswer: c**(-107\/3627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 36466809*f. Let v(u) = -2*u. Give x(v(m)).\nAnswer: -72933618*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (65 - 5) + (-83028)\/814\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 69\/36 + (-6)\/9. Put -1\/4, -1, u, -0.3 in ascending order.\nAnswer: -1, -0.3, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + (0 + (sqrt(95) - -6*-2*sqrt(95))\/((sqrt(5) - -1*sqrt(5))*-1) + -3)**2 + 2.\nAnswer: -33*sqrt(19) + 2319\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhhw when four letters picked without replacement from {q: 4, h: 2, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 152*i**2 - 4*i + 5. Is r(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/4*15\/50. Which is the third smallest value? (a) z (b) -5 (c) 9 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 22, 5, -0.2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 5) to base 12\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56698 (base 11) in base 12?\nAnswer: 3b574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71556*t**4 - 37*t**2 - 440 wrt t?\nAnswer: 1717344*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 + ((-1)\/(-1))\/1. Let d = -6 + r. Solve 0 = 2*q + d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5 + 2 + 2*v**2 to the form o + m*v + h*v**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 - -140. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186\/13, 1\/5, -1, 28, 0.5 in ascending order.\nAnswer: -1, 1\/5, 0.5, 186\/13, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of -3*((-16)\/(-6))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 165081.\nAnswer: 495243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -424 + 245. Let p = -122 - v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.818 + -0.318. Sort n, 1, -67\/3 in increasing order.\nAnswer: -67\/3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 38*j**2 - 33*j - 88. Determine g(37).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 824 + -816.62. Let v = x - 0.38. Let r = -221 - -226. Put -2\/7, 3, r, v in descending order.\nAnswer: v, r, 3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97\/84 + -2\/21. Sort g, -4, 5, -13 in increasing order.\nAnswer: -13, -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 0 (c) -1 (d) -186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21912, -21913, -21914?\n\"Answer: -p - 21911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -24.892\nAnswer: -124.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-4 + 1 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 24*p**2 + 24*p + 35. Let r be z(-23). Solve 2*t - 6 + r = 4*n, -4*t = 3*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (199\/(-38805)*13)\/(3*(-4)\/(-198)).\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(sqrt(16)\/sqrt(2)) - (sqrt(39) - sqrt(273)\/(sqrt(112) - sqrt(7) - sqrt(7))))\/(sqrt(3) + sqrt(3)*-1*-6 - sqrt(3) - sqrt(48)*1).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2\/(-165)*(-5)\/(-1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22*(-54)\/2970)\/((-4)\/5 - 1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4597962\/973 or 4727?\nAnswer: 4727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 402453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.05 - 10.85. Sort x, -1, 11 in increasing order.\nAnswer: -1, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 2, k: 2, x: 4}. Give prob of picking 1 l, 1 x, 1 k, and 1 h.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 0.2, 9\/4, -20?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n - 22. Let m be s(13). Suppose -4*f - 2*i - 15 = -9*f, -f + m = 5*i. Let j(t) = 0 - 23 + t**2 + 4*t**3 - f*t**3 - t. What is j(0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 25*v**3 - 2*v - 1. Let n be t(-1). Let d = n + 29. What is the third derivative of -c + 0*c + c**4 + c - d*c**2 wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.12 - -5.82. Let b = -5.734 + s. What is b rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. Let i = -487 - -496. What is the least common multiple of g and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -61*d + 419. Determine g(6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -25.5.\nAnswer: 12.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.68 + 11.9. Let v = 1.28 + k. What is the second biggest value in v, 1\/7, 0.2, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/20 - (-6)\/15) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32016 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312 and 880992?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 - 109*f**2 - 46*f - 179. Give r(-36).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 12:26 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1015, -2031, -3047, -4063?\n\"Answer: -1016*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 + 6*g)*(-5 + 2 + 2) - 4*g - g + 3*g + (2*g - 5*g + g)*(-2 + 7 - 3).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-1\/2))\/q*q)\/q)**(-6\/17)\/(q**(2\/9)*q*q**22))**32 assuming q is positive.\nAnswer: q**(-112832\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 14. What is the remainder when 6 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 9:22 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 442*n - 44. Let t(w) = -882*w + 97. What is -11*f(i) - 5*t(i)?\nAnswer: -452*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12b4122 (base 12) to base 5.\nAnswer: -1423000301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ab2a4 (base 15) in base 5?\nAnswer: 114401404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - r = 5 - 2, 4*r - 2 = 3*w. Let o(m) = m + 4. Let d be o(w). Solve -d*q = 2*q + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 s, and 1 z when three letters picked without replacement from vzmmvvxcxxs.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 11. Factor -3*i + 4*i**w + 0*i + 7*i + i**3.\nAnswer: i*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 1280.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*u = -18, -2*s + 5*u - 58 = -53. Which is the third biggest value? (a) 0.4 (b) 3\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3161 or -2991?\nAnswer: -2991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45511250 and 200?\nAnswer: 182045000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -989357787*j**2 + 216543*j - 211.\nAnswer: -1978715574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/2? (a) 1.3 (b) -5 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q + 1387. Let o(c) = c - 277. Determine -11*o(d) - 2*p(d).\nAnswer: 3*d + 273","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1775 and 1171003?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 0 + p**2 + 0. Let t(y) = -3 - 1 - 1 + 5 + 7*y**2. What is m(t(r))?\nAnswer: 49*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/43, -4, 2\/23, -2, -2\/17?\nAnswer: -5\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 529 = 14*c. Sort 0, c, -2, 3.\nAnswer: c, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + (-61742)\/(-8) + (-525)\/700 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(105)\/sqrt(3))\/sqrt(7))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93779 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1841 (b) -1\/3 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2351430 + 0?\nAnswer: 2351430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 315 and 244232 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/27364842 and -26\/93807?\nAnswer: 191553894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 843966 = 114*v + 17*v - 1943976. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 16) in base 10?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -551\/525?\nAnswer: -551\/525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 - 88\/(-14). Let w be 3\/m*6*1. Solve z - w*z = 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, 1, 0, 0.4, -255\/277?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.51 and 0.141543.\nAnswer: -0.368457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 71980, 143965, 215954, 287947?\n\"Answer: 2*s**2 + 71979*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 32, 4.\nAnswer: 0, 4, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*y = 260, 88 - 304 = -4*b - 4*y. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 7, m: 1, z: 4}. Give prob of sequence aa.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4491346*y**4 - 13*y**3 - y**2 - 61263535 wrt y.\nAnswer: 107792304*y - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25149 is divided by 433?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(-8)\/a)\/a)\/(a\/(a**(-4)*a*a))*(a**(7\/2))**(-48) assuming a is positive.\nAnswer: a**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*240\/(-1260))\/(4\/(-30))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k + 53*k = 55. Suppose 37 + 5 = 4*w + 2*v, w + 2*v - 15 = 0. What is the lowest common multiple of w and k?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 577, 1136, 1693, 2248, 2801, 3352?\n\"Answer: -n**2 + 562*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558*x - 494*x - 576*x - 605*x - 756*x + 2486*x.\nAnswer: -503*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21346693 divided by -3007\nAnswer: -7099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.3 and 115.51815429?\nAnswer: 113.21815429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36116 divided by 2.\nAnswer: 18058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 1391 = -1385, -5*t + 22 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-10 - (-6 + 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010100010000000 (base 2) in base 7?\nAnswer: -2213332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10252 = -3*z + 5*g, -3*g + 6769 + 6939 = 4*z. Which is greater: 1\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 8*h - 6. Let x be m(-7). Suppose 47 - 2 = -114*w + 109*w. Sort x, 5, w, -5 in increasing order.\nAnswer: w, -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 0*b**5 + 0*b**3 + 0 - 5\/2*b**2 - 2\/15*b**6 + 6*b + 0*b**4. What is the first derivative of i(y) wrt y?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -315.266225 and -183.44.\nAnswer: -498.706225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r + 95. What is o(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (6 - (10 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbqblhlhhholololhqq. Give prob of sequence hh.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n = -3. Let s be 0\/(-2 + 9\/n). Suppose s = g + g. Solve g = 5*k + 5*j - 35, 4*k + 7*j = 2*j + 33 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wib when three letters picked without replacement from zbbinnwbininznbwi?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*n - 3*p, 2*n - 27 + 11 = 4*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + -92. Let v = w + 71. Let n = v - -45. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2*b + 35 = 0, -2*k = -11*b + 8*b + 14 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 1, -81?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a second in milliseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Solve 5*b**3 - 3*b + 8*b**2 + b**5 - 11*b**3 + j*b**5 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 - -353\/4. Sort n, 0, -27 in increasing order.\nAnswer: -27, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 + 73. Solve b = 3*a + 4 - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1611*a + 16114. Let f be k(10). Put f, -0.3, -2260 in ascending order.\nAnswer: -2260, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/((-3)\/(-56)). Suppose d - 40 = -d. Let z = f - d. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*2\/(4\/2). Suppose a = 5*u - 4*y - 3, 5*u - 2*u + 5*y = 24. Suppose u*n + 2*n - 65 = 0. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 296 + 315 = 0. What is the units digit of j + 15 - 3*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -115, -113, -111?\n\"Answer: 2*v - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165975)\/(-11065)*4\/(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1699 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(x + 0*x + x) + 2*x - 4 + 4 - 4*x + 5*x + 0*x + 2*x - 1 + 1 + 0*x - 10*x - 4*x + (-2*x + 2*x - 2*x)*(-3 + 4 - 2).\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) + 2964\/(-48). Let h = r + 68. Let b be ((-130)\/h)\/(11\/(-283800)). Round b to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16928*j**2 + 184*j - 1\/2.\nAnswer: -(184*j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/389164?\nAnswer: 5\/389164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*((1*sqrt(99) + -2 - (-3 + 1*sqrt(99))) + 2*(3 + 0 + sqrt(99)))**2.\nAnswer: -2670 - 504*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 2*i. Let d be g(2). Let a = -1 + 4. Suppose 2*o + 26 = c, 3*c - 87 = -0*o - a*o. Calculate the greatest common factor of d and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1217*s**2 + 482*s**2 + 3*s**3 + 363*s**2 + 361*s**2.\nAnswer: 3*s**3 - 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324) - (sqrt(324) + 1*sqrt(324) + sqrt(324) + sqrt(324) - sqrt(324)))*-6)\/sqrt(12) - ((sqrt(72)\/sqrt(4))\/sqrt(6) - (sqrt(6)\/sqrt(2) + 2)).\nAnswer: 2 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 16*y - 411. Calculate n(25).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1651397 and 1258?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-40) - -2*(-2)\/8. What is the nearest to 0 in -0.2, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s = 0. Suppose -3*l - 1 = 3*q - 7, 5*q - 3*l - 26 = s. Let a = 9 - 8. Solve u + 2*n + q = 0, -n + 2*n = -a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 divided by 27\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y**5 + 4415*y**4 - 6855*y**3 - 25475*y**2 + 17440*y + 10500 = 0. Calculate y.\nAnswer: -2, -2\/5, 1, 3, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*y**2)*(y**2 - 2*y**2 - y**2) + y**4 + y**4 - y**4 - 5*y + 5*y - 8*y**4.\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 940 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-2)\/((-2)\/(-2)). Let o(a) = -2*a + 9*a**2 - 3*a**2 + 1 - 5*a**2. Determine o(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*f + 296, 0 = 3*f + 4*p - 53 - 169. Calculate the highest common factor of f and 3404.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 1. Let i(u) be the first derivative of u**2\/2 + 5*u - 1. Let o be i(-7). Which is greater: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 5*u**4\/12 + 13*u. Let x(y) = 6*y**2. What is q(x(l))?\nAnswer: 180*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.1404?\nAnswer: -0.01404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 9*p - 301. What are the prime factors of d(-50)?\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 1\/16*k**4 - 1\/4*k**2 - 1\/12*k**3 + 0*k - 2. Find a, given that j(a) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 7726560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.222 - -0.17. Let n = 2.892 + j. What is n rounded to 1 dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 29980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -4\/5 (c) 17\/4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -z**4 - 2*z**3 + 20*z**2 - 1990*z + 3000775 wrt z?\nAnswer: -4*z**3 - 6*z**2 + 40*z - 1990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/122212 and -55\/353912.\nAnswer: 10813073336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 43*b**6\/15 + 7*b**5\/20 + 2*b**3\/3 + 14627*b**2\/2 + 2176*b. Differentiate m(l) with respect to l.\nAnswer: 344*l**3 + 21*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -24, 3, -6 in ascending order.\nAnswer: -24, -6, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166194, 166164, 166130, 166104, 166098, 166124, 166194?\nAnswer: 166320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*t - 4*t. Let l be 188\/60 - 4\/30. Solve l*g = 4*g + t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77.804 - -902669.196. Let u = r + -902790.99892. Let b = 44 + u. Round b to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, d: 1, i: 2, f: 2, c: 1, y: 2}. Give prob of picking 1 d, 1 i, and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 102*b**2. Let u(z) be the third derivative of -z**4\/24 - z**2 + z. Give a(u(o)).\nAnswer: 102*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10965*p**3 - 2*p**2 - 13*p**2 + 6*p + 10963*p**3 - 8. Let l be t(-8). Solve 5*v - 4*c - 2 + l = 0, -5*v - 15 = 5*c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135.5 + -815.5. Let c = -681 - j. Sort 0.1, -1.5, -0.2, c in increasing order.\nAnswer: -1.5, c, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13845\/109 - 127. What is the third biggest value in 0.5, 0.3, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8174 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**2 + 4*n**2 - 2*n**2)*(-2 - 3 + 10) - 2*n + 20*n**2 - 11*n**2 - 2 - n**2 in the form t + b*n**2 + x*n and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28401.\nAnswer: 3, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5007 - -5009. Solve -z*r = 4*h - 1 + 29, 5*h = -r - 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {p: 3, n: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 930 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 12*q**2 - 31*q - 28. Let k be n(-14). Calculate the remainder when 188 is divided by (-1206)\/(-126) + (-8)\/k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qlwzzfsqlfll?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6*d + d = 25, -p + 5*d = -13. Find the common denominator of (-23)\/90*(-1 + (-8)\/p) and 111\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 62, -4, -125, -3.7, -15\/2?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 15. Let a = -4.9 + -1.1. Let q = -6.5 - a. What is the second smallest value in q, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*r - 12*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5\/5 + 5227*o**4\/5 + 657897*o**3\/5 + 1300117*o**2\/5 + 647446*o\/5 = 0. What is o?\nAnswer: -5098, -127, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + y**3 + y**3)*(-7 + 0 - 6)*(-3*y - 1 + 6*y + 2) - y**4 - 3*y**4 + 3*y**4 + (-y**2 + y**2 - 3*y**3)*(3*y + y - y).\nAnswer: -49*y**4 - 13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -26*h**3 + 11*h**2 + 18*h + 7. Let q(g) = -22*g**3 + 10*g**2 + 15*g + 6. Let a(m) = -7*q(m) + 6*w(m). Suppose -3*r + 8 = 2. Calculate a(r).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37 + 22475?\nAnswer: 22438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3\/4 + 42087*w**2\/4 + 110701962*w - 110712484 = 0.\nAnswer: -21044, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 4 + 11*v**3 - 12*v**3 - 5*v**2 - 2*v**2 - 8*v. What is the units digit of h(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(384) + -1*sqrt(384))*1)\/(sqrt(512)*2 + sqrt(800) + (sqrt(800) - sqrt(800)*2 - sqrt(800))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00040786 rounded to 5 decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - 2.94. What is the nearest to 2\/9 in -1, n, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*j + 4*s, -3*s - s = 2*j + 6. Suppose -4*v + 2*v - 4*m = -16, -m + 4 = -2*v. Which is smaller: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 59*f**2 + 106*f - 2616. Let o be g(60). Solve 88*t = 16*t - o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190025.\nAnswer: 5, 11, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5624\/(-370)*(0 + (-5)\/2). What is the first derivative of 15 + 32*b + 24*b + o*b - 113*b wrt b?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3414*v - 9943 - 33792 = 41615 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x - 1. Let y be j(1). Let k = 13 + -8. Let n be (0 - (-2)\/2) + -1. Sort y, n, k.\nAnswer: n, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 11 (b) 1 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) -11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2. Let d(l) = 931*l - 17*l**2 - 931*l. What is g(d(i))?\nAnswer: 578*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*h**4 - 20*c**2 + c*h**4 - 39*h + 3 wrt h.\nAnswer: 4*c**2*h**3 + 4*c*h**3 - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 9*n + 14. Let q be k(8). Let j(s) = -5*s - 36. Let p be j(q). Let a = p + -274. Round a to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31\/2, 3, -92, -15 in descending order.\nAnswer: 31\/2, 3, -15, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.84872 - -0.15128. What is the nearest to 0.3 in -2, i, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(14)\/sqrt(2))**2 - sqrt(14)\/(sqrt(2)*-2)) + sqrt(70)\/(1*-2*sqrt(10)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -53*v**3 + 8*v**2 - 20*v - 53. What are the prime factors of z(-7)?\nAnswer: 2, 19, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10143044424 + 34?\nAnswer: 10143100013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/10 + (-424)\/(-20). Let v be -2*(-3)\/(-6)*1*-3. Suppose -v*p = 18 - c. Solve 14 + p = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (18 + -2)\/4. Let c = 4 - 6. Calculate the smallest common multiple of 22 and c - -3 - w*21.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = 22. Factor -11 + z + 11*q**2 + 16*q**3 + 2*q + 7*q**4.\nAnswer: q*(q + 1)**2*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -647\nAnswer: -9\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1184*h - 896 = 1170*h for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 11*r**5\/20 - r**4\/6 + r**2\/2 - 3*r. What are the prime factors of z(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**4\/4 - 5*h**3\/3 - h**2 - 250. Give v(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3208 - -3213. Let h(u) = -16*u**2 - 2*u. Let i(r) = -32*r**2 - 5*r. Calculate b*h(p) - 2*i(p).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/26 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-4)\/(-18)*(-60)\/120)\/(3\/246)\nAnswer: -82\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3 - (-20)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/981?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3\/5, 0, 32 in descending order.\nAnswer: 32, 12, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 305.9209 milligrams?\nAnswer: 0.0003059209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2.6, 2, 774?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - x. Let r(a) = a**2 - 3*a - 1. What is k(w) - r(w)?\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/585 and 40\/72891?\nAnswer: 364455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**6\/120 + h**5\/60 - h**4\/6 - 2*h**2 - 4. Let u(s) = -4*s**3 + 5*s**2 - 17*s. Give -2*u(g) + 9*z(g).\nAnswer: -g**3 - g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*a + 38*a + 85*a**2 - 75*a to z + s*a**2 + u*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/11, 828, -1\/4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j**5 - 9\/4*j**4 - 1\/3*j**3 - 3*j**2 + 19 - 1\/2*j**6 + 0*j. What is the third derivative of f(b) wrt b?\nAnswer: -180*b**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6\/5 + 23\/15. Put b, 3, 2 in ascending order.\nAnswer: b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**3 + 56*j**2 - 256*j + 384 = 0.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 5*s + 5. Let x be u(5). Suppose -12 = 3*b - 7*b. What is the third biggest value in x, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4 - 738*y**3 + 8205*y**2 - 25442*y + 17976 = 0. What is y?\nAnswer: -749, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -713561 (b) 1\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19452521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 678158 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8045 less than 8044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 + 5*r**2 - 4*r - 4*r**2. Let h(a) = -31*a**2 + 24*a + 8. Let p(y) = 27*y**2 - 21*y - 7. Let i(c) = 7*h(c) + 8*p(c). Give i(g(o)).\nAnswer: -36*o**4 + 48*o**3 - 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*s = -87, -4*y + 5*s + 387 = 73. Let a = y - 57. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Suppose 2*g = -3*f + 35, 0 = 5*f - g - x*g - 51. Let y = f + -7. Which is the nearest to 2? (a) -0.1 (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2883 - -2893. What is the lowest common multiple of n and 5506?\nAnswer: 27530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s. Let k(l) = -9*l**2 - l**2 + 0*l**2 - 6*l + l**2. Let d(w) = -w**2 - w. Let m(t) = 5*d(t) - k(t). Calculate v(m(f)).\nAnswer: -4*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(sqrt(204) + sqrt(204) + sqrt(204) + sqrt(204) + 2*sqrt(204) + sqrt(204)))\/(1*sqrt(108)).\nAnswer: -28*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389 = -13*g + 2*q - 357, 4 - 4 - 3 = q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**4 - c**3 - c - 1. Let d(x) = 2*x**3 - x - 11. Let t(z) = -d(z) - 2*o(z). Let v(p) be the first derivative of t(p). Differentiate v(m) wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -20. Suppose -j + 32 = -0*j - 4*n, -5*j + 2*n + 142 = 0. Let x = j + -16. Calculate the remainder when h is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/626340 and -97\/2254824.\nAnswer: 11274120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*((a*a\/(a**(-2\/11)\/a))\/a)\/a*a)\/a)\/((a*a**(-1\/5))\/a*a*a))\/(a**(-4)*a**6) assuming a is positive.\nAnswer: a**(21\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-9) - (-57)\/9. Suppose 0 = 5*a + m - 240, 2*m - y*m = -20. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 4. Let f = -11 + 2. Let d = f - -14. Do r and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 351, 372, 415, 486, 591, 736, 927?\n\"Answer: k**3 + 5*k**2 - k + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2220)\/(-16)*(-231)\/(-3465).\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2879*z - 9988 = -2652*z for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*k - 2*k. Solve k*g - 19 = -3*g - w, 4*g - w - 17 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111*a**2*o**2 + 2*a**2*o + 613*a**2 - 2*a*o**2 wrt o?\nAnswer: -222*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/3267 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*u + 31 = -4, 2*p = -5*u + 5. Suppose 2*m - p = 4*m. Let f(g) = -g**3 - 4*g**2 + 7*g. Calculate f(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -822.26 + 0.1.\nAnswer: -822.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3006 - 3003. Solve 2*i = -5*t + 16, 3*t - 16 = -c*i - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:20 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21200953*s**2 - 218258*s - 118 wrt s?\nAnswer: 42401906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -5*s + 4*p, -4*s + 4*p = -3*s - 23. Suppose 50*y - 134967 = s*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 1010430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.8. Let p = n + 0.71. Let k = p - 0.0106. What is k rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -6*m + 2*m + 38, 22*m = -4*a + 15 + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/14 - 51\/119. Let l(t) be the first derivative of -1\/3*t**3 - 1\/12*t**4 - s*t**2 - 1\/3*t + 1. Factor l(b).\nAnswer: -(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 3*p + 4. Let v be b(3). Suppose -y = -0*y - v*m - 167, 5*y = -2*m + 725. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1428)\/(-357))\/((-4)\/24).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 18. Let k = -6 + p. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 1\/8*x**4 + 0*x + 3*x**2 - 1\/3*x**3 + 0. List the prime factors of s(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 4, -13, -155, 566, 2\/3 in descending order.\nAnswer: 566, 4, 2\/3, 1\/6, -13, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-138)\/(-17) + (-18)\/153. Solve -13 + g = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:31 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98576492 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1134160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 475183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 182934 or 182930?\nAnswer: 182934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 642160 by -1396.\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -13. Calculate the remainder when 49 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*w = 7*w + 37999, 25338 = 2*r + 2*w. Let i = 21409 - r. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 4:17 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41072 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2804?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11977 + -11983. Calculate the common denominator of (-2)\/(-6)*(-324)\/30 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8602 and -13.791.\nAnswer: -118630.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -189, -516, -1071, -1908?\nAnswer: -3081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 13655*m**2 - 41*m + 76. What is the units digit of f(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3445 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -517, -810, -1041, -1180, -1197?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/36313782 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -63494.8 * -144\nAnswer: 9143251.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*r + 11. Is -3\/34 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -21*((-30)\/21 + -2 - -2). Solve 12*s - d - 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(9)*-4)\/sqrt(4) + sqrt(15)\/(sqrt(2541)\/sqrt(7)).\nAnswer: -43*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 + 0.07. Let w = 0.0027 - 0.0827. Which is the nearest to z? (a) -0.2 (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3369*s**5 + 38582*s**2 + 713795967*s?\nAnswer: -67380*s**3 + 77164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n - 13*n - 136 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s - 4. Let m = s + -6. Let b = -8 + 12. What is the nearest to m in 0, b, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4582, -3914, 2002, 13166, 29578?\n\"Answer: 2624*g**2 - 7204*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -857.5 rounded to the nearest 10?\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1581 and -27\/208165.\nAnswer: 624495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f = -3*s + 37*f - 373, -4*f = 2*s + 282. What is the common denominator of -43\/16 and -8 - -14 - 4 - s\/(-40)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*l + 19, -3*a + 1412*l - 1409*l - 33 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - v. Let g(c) = 19*c. Determine 2*g(r) + 38*x(r).\nAnswer: 38*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 1\/4, 0.1 in descending order.\nAnswer: 1\/4, 0.1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/25 - (-208)\/10. Let p be -8 - (-1 - -1 - 3). Let t be (p + -37)*(-21)\/6. Calculate the highest common factor of t and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 4 - 1 - 2*w.\nAnswer: -3*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 9*i**2 + 10*i. Let d be l(-10). Find z, given that -5*z**3 + 6*z**2 + 5*z + 11*z**2 - 2*z**2 - 15*z**4 + d*z**2 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, u: 1, m: 2, g: 2}. What is prob of sequence gugm?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55158?\nAnswer: 2, 3, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9747446 is divided by 3500?\nAnswer: 3446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 9*j**2 - 8*j + 26. Let m be z(9). Let r be 3 + m - (-3 - 1). Let t(a) = -2*a. Let y(p) = -12*p. Determine r*t(f) + 6*y(f).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4015.082 microseconds in milliseconds?\nAnswer: 4.015082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -19*i + 2580. What are the prime factors of i?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390775347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5042\/5 + -1008. What is the closest to 0.7 in 1\/2, 4\/5, -4, t?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 2545 = 1385. Let k = a - -391. Sort k, 1, 4, -4 in increasing order.\nAnswer: -4, k, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b - 18020 = 15*b. Let a = -526 - b. Solve -4*u = -a*m, 6*u - 40 = -4*m + 2*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 2*h**3 - 4*h**3)*(-5*h + 0*h + 3*h + 4*h + 0*h - 3*h + (-h + 2*h - 3*h)*(-1 - 1 + 1)) - 4*h**4 - 2*h**4 + 4*h**4.\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1137 and 2274?\nAnswer: 2274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17185 * 9.88\nAnswer: 169787.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8761843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242*r**3\/7 - 2860*r**2\/7 + 4864*r\/7 + 23104\/7.\nAnswer: 2*(r + 2)*(11*r - 76)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5591500 divided by -25?\nAnswer: -223660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 309*q**3 + 85*q**2\/2 - 328*q. Is l(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 17\/95 (b) 2994 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/(5 - 7) - (-856 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -83, -192, -353, -572, -855, -1208?\nAnswer: -1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 55708.69 hours?\nAnswer: 200551284000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -770, -1541, -2316, -3095?\nAnswer: -3878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -5, 0, -2, 258, -15 in descending order.\nAnswer: 258, 6, 1, 0, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9072)*1 + sqrt(63) + 2*sqrt(252)\/sqrt(4))\/(4*(sqrt(441) + (sqrt(441) - (sqrt(441) + (sqrt(441) + sqrt(441) + -2*sqrt(441) - sqrt(441)))))).\nAnswer: 15*sqrt(7)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 38 = 6. Suppose 4 = 10*q - o*q. Let z = -2.89 + 3.19. Which is the biggest value? (a) 0 (b) z (c) -3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 4828\/(-12)) + (-2)\/6. Let f = s + -255. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 8:57 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:30 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9634.\nAnswer: 2, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212277 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5370 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.016432 grams in kilograms?\nAnswer: 0.005016432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*k + 13 + 12, -4*k = 4*s + 4. Let y be (-58)\/(-18) - k\/(-18). Solve -y*l = -7*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 5*k + k**2 - 5*k**2 + 5*k**2 + 14. Let o be s(6). Solve 6 = 2*c + o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*(p**(-1\/18)*p)\/p)\/p)\/(((p**1*p)\/p*p)\/p) assuming p is positive.\nAnswer: p**(-1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 4. Let f(z) be the third derivative of z**4\/8 + 2*z**2. Let o be f(-2). What is the units digit of i(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6975, -7031, -7199, -7533, -8087?\n\"Answer: -9*l**3 - 2*l**2 + 13*l - 6977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 13*g**2 - 2*g. Let u(i) = 14*i**2 - i. Determine 3*l(o) - 2*u(o).\nAnswer: 11*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*y**2\/5 - 667308*y\/5 - 6184721762\/5.\nAnswer: -2*(3*y + 55609)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3648)\/36*(-5706)\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 10:38 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 11:29 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 - -1.4. Sort l, -2, 3\/7 in descending order.\nAnswer: 3\/7, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(450)*-3 + sqrt(450) - sqrt(450))\/sqrt(10))\/((sqrt(81) + sqrt(81) + sqrt(81)*-1)*5).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y + 8 = 4*s, -20 = -5*y + 5*s. Put 0, y, 5 in ascending order.\nAnswer: 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1370514031 - 5?\nAnswer: -1370514036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325150*-24.\nAnswer: 7803600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675242483.\nAnswer: 675242483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78706*u**4 + u**3 - 268011*u wrt u?\nAnswer: -944472*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0542 * 1\nAnswer: -0.0542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5471 - 3920. What is s rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114166.\nAnswer: 2, 13, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -57982, -57980, -57978, -57976?\n\"Answer: 2*c - 57984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 468709447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1\/120407, 0.02, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (207 - 214*w**3 - 207)*(-2 - 1 + 0)*(w - 6*w + 3*w) to y*w + j*w**3 + p*w**2 + h*w**4 + a and give h.\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 550487.85 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12460500 divided by 16614.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 2 = 3*x, 4*g - 17 + 31 = 3*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 179, 1799, 6279, 15047, 29531, 51159?\n\"Answer: 238*s**3 + 2*s**2 - 52*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1475480 divided by 10\nAnswer: 147548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 286112800 rounded to the nearest 100000?\nAnswer: 286100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6980021.\nAnswer: 6980021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1008a2a (base 12) to base 4\nAnswer: -23130233002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 7*f**2 - 18*f - 30. Let v be c(9). Let o be -2 + (-48)\/v + (-114)\/(-10). Calculate the greatest common divisor of o and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10) + sqrt(10)*-2*-4).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12271648 (base 9) to base 2.\nAnswer: -10110111011100011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304157?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310 - 304 = 4*k + 5*z, 0 = 2*k + 5*z + 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -7. Suppose 0*y = 2*y - r*l + 17, -y - 4*l = -8. Let j = -1 - y. Solve -4*d + 11 = -j*n, -5*n + 0 - 3 = d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(1 - 1 + 2)*(-1 + 0 - 1)*(-9*m + 0*m + 3*m) as u + c*m and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 17*v**2 - 17*v - 17. Let k(o) = -2*o**2 - 2*o - 2. Let a = -35 - -29. Give a*x(z) + 51*k(z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3*s - i = 7, 3*i - 7 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**5 + 2*x**5 - 2*x**5 + 2*x**5 - x**5 - 8*x**5 + (0*x**2 - 3*x**2 + 4*x**2)*(-2 + x**3 + 2).\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461 + 266 = f. Let v = -717 + f. Solve 19*p - 14*p - v = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y - 2 = 0. Sort y, -4\/3, -4 in increasing order.\nAnswer: -4, -4\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 8*u - 27. Let o(z) = 331*z + 2637. Let r be o(-8). Give i(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**6\/24 - 2*k**5\/3 + 25*k**4\/6 + 151*k**2\/2 + 9*k. Let x(z) be the first derivative of f(z). Let x(v) = 0. What is v?\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 488 + -324. What are the prime factors of i?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7340.\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 4*n - 1. Let p be d(3). Let h(t) = 136*t**3 + 2*t**2 + 2*t - 1. Is h(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*a**3 - 388*a**2 + 4488*a + 33120.\nAnswer: -4*(a + 6)*(a + 15)*(9*a - 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1720068\nAnswer: -1\/573356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 0.0266063218.\nAnswer: 0.5266063218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-168)\/15)*76\/760\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**2 - 2*w + 2. What is m(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g - 4 = -42*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 133779282.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 109, -2, 0.3, -31, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.13 not equal to 665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66285137*n**2 - 109934979*n?\nAnswer: -132570274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.22103914 + -3.221. Round m to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1023\/2 + -511. Suppose 2*j + 5 + 12 = 5*d, -j + 2*d = 6. Let o = 53 - 57. Which is the nearest to k? (a) j (b) 8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 18*j**2 - 7*j + 19. Let l be q(-9). Suppose 7*w - l = 93. What is the greatest common divisor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3736 is divided by 631.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3\/1367218 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 34. Let x = -3 - l. Let g(z) = -10*z**3 - 2*z**2 - 3*z - 4. Is g(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89\/606 - -2\/101. Let x(f) be the third derivative of -1\/12*f**4 + 0 + 0*f - f**2 - l*f**3. Calculate x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25, 49, 73, 97, 121?\n\"Answer: 24*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mua when three letters picked without replacement from mqummymuqqa.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321 (base 4) to base 15.\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 67 - 205. What is the units digit of 2\/(((-30)\/o)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4482?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 12, 5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 2*u**2 - u + 7. Let a be g(5). Let b be 6424\/a - 8\/(-14). Let m = b + -48. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 202*b**2 - 3488*b + 30. What is y(16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 10:43 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/30)\/((-1)\/3). Let t be (-13 - -39)\/(3 + d). Factor 3*v**3 + t*v + 3*v**4 - 9*v**2 - 25*v - 3*v**2.\nAnswer: 3*v*(v - 2)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46\/5 - 10. Let g = -22.1 + 21. Let l = -0.7 - g. Which is the third smallest value? (a) 2\/3 (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -398*m + 18301. Let x be n(46). What is the fourth biggest value in 0.4, -19, x, -4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 135 = 6*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49445 and 124.\nAnswer: 197780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 801\/80 - 285\/16. Let m = -19 - -37\/2. What is the common denominator of j and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356322957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*y = 4*y - 16, 5*k + 35 = -5*y. Let s = k - 13. Let z = -14 - s. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-680)\/(-510)*(4 - 58\/4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5639*r + 3*r**2 + 5639*r - 2*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f + 65. Let p = 10 + f. Calculate the common denominator of (-53)\/p + (-1 - 0) and 14\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 3*t + 2. Suppose -s = s - 6. Let y be b(s). Suppose 5 = -y*u + 35. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - 4*n**2 + n**2)*(461 - 461 - 36*n + (0 + 1 + 1)*(-n - 3*n + 2*n)) + 2*n**3 + 1 - 1 + 3*n**3 - 3*n**3 + 5*n**3.\nAnswer: -73*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12298 + 4?\nAnswer: 12302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -5390 and -5385 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 913 and 8798.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/13 - -11\/78. Let o = -258 - -1286\/5. What is the biggest value in p, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10259 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1699 or -15304\/9?\nAnswer: -1699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -14. Let i(f) = -f**2 + 42*f + 52. Calculate the least common multiple of i(43) and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -550 or 12\/23?\nAnswer: -550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**5 + a**4 + a - 1. Let o(l) = 3*l - 2*l + 3*l**5 + 6*l**4 - 6 - 10*l**5. Let m(q) = -6*d(q) + o(q). Find the second derivative of m(n) wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*s - 413 - 7. Solve -14*k - 84 = s*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 28 = -3*n, -4*n - 56 = -3*v - v. Let r(k) = k**2 + 41*k + 43*k + 41*k - 129*k - 3. What is the least common multiple of r(-3) and v?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (280\/6 - -3)\/((-4)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p**2 - 56*p - 2. Let a be g(8). Put -66, a, -5 in descending order.\nAnswer: a, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u*y**3 + 12*u*y**2 - u*y - 6*u + 37438*y**3 - 83*y**2 + 1 wrt y.\nAnswer: 12*u + 224628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6 = -3*l. Let y = -10 - -20. Calculate the smallest common multiple of y and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 46*s + 172. Let u be g(4). Which is the nearest to -2? (a) 0.03 (b) u (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -256 - 4?\nAnswer: -25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 93\/7. Factor 4\/7*h**4 + 2\/7*h**3 + 0*h**2 + p*h**5 + 0*h + 0.\nAnswer: 2*h**3*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*b = 9, -h + 4*b - b = 5. Let l be h\/((-6)\/(-3))*8. Suppose 0 = 4*j + 4, 2*v - 2*j + 0*j + 8 = 0. Sort v, l, 1 in ascending order.\nAnswer: v, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/(-4) + (12 - -3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -116\/673241?\nAnswer: -116\/673241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -19\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 + -2b5?\nAnswer: -2ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p = 2. Solve -3*l + 4 = p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11351 (base 6) to base 4.\nAnswer: -121303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1839*x - 3694. Give t(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35348248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 243 = 239 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - x - 1)*(x**2 - 4*x**2 - 2*x**2)*(-3*x**2 + 0*x**2 + x**2).\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -14*n + 10. Let r be z(-9). What is the highest common divisor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24485 is divided by 8122.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/13)*i**(-6))**(-4\/11) assuming i is positive.\nAnswer: i**(268\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - sqrt(65)*-3)\/sqrt(5) + sqrt(13) + (sqrt(130)*-2)\/sqrt(10).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/2 of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 1\/6*h**4 - 1\/2*h**2 + 0 + 6*h - 1\/6*h**3. Let x be l(-1). Solve 11 = -3*w + x*n, 2 - 1 = w + 4*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18437807*z**3 - 26719994?\nAnswer: -55313421*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*a + 3*t, 532*a - 573*a = -4*t - 111 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 - 0 - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185 - 186.045. Let z = -0.85 - j. What is z rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1970005?\nAnswer: 5, 47, 83, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.53 - 28.6. Let b = g + 11. What is the smallest value in 4, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1122288625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 0*f + 4*f - f + (4*f - 3*f + 24*f)*(4 + 1 - 3).\nAnswer: 49*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36490 + 549*y - 36490)*(-5 - 4 + 6) + (-3 + 1 + 1)*(2 - y - 3 + 2).\nAnswer: -1646*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 9*r = 4*r - 22, 26 = 5*x - 3*r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -111230113, -222460227, -333690341, -444920455, -556150569, -667380683?\n\"Answer: -111230114*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11037 - 19?\nAnswer: -11056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1353 = -3*v - 10800, 0 = -2*v - 2*d - 8098. What is the hundreds digit of (5\/15)\/((-10)\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -504, -737, -968, -1197, -1424?\nAnswer: -1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -1198*a + 1200*a + 4, -4*a = -4*q + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -109*v**4\/5 - 66*v**3 - 227*v**2\/5 - 6*v\/5 = 0.\nAnswer: -2, -1, -3\/109, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1668773737 - -2.\nAnswer: -1668773735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879894865?\nAnswer: 5, 7901, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120*k**4 - 690*k**3 + 56*k - 41425093 wrt k.\nAnswer: 480*k**3 - 2070*k**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 2*u**2 + 0*u**2)*(-5 + 2 + 2)*(66 + 14*u - 35 - 32).\nAnswer: 42*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/35382579 and -62\/11229.\nAnswer: 35382579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40089.\nAnswer: 3, 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 13*g + 23. Calculate t(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2. Let s be 0*(-2)\/(-4)*1. Suppose 15 = 2*m + 3*m. Let i(z) = -2*z**2 + s*z**2 + m*z**2. Calculate h(i(r)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8550, 34257, 77088, 137037, 214098?\nAnswer: 308265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 4?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, -0.4, -597\/7, 26, 1.3?\nAnswer: -597\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33167 is divided by 307.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - 0.3. Let m be 123\/205 + (-6)\/5. Let k = 19.1 + -19. Which is the closest to -2? (a) k (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 34*j**2 - 8*j - 37. Is f(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789554096.\nAnswer: 2, 2719, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18430 + -552?\nAnswer: -18982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-5 + 5 + 2*z)*(-3 + 3 - 4).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 922, 3692, 8312, 14776, 23078, 33212, 45172?\nAnswer: 58952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a**3 + 11*a**2 - 7. Let m(h) = -4*h**3 - 25 + h**2 - 6*h**2 + 12 + 16. Determine 7*m(v) + 3*s(v).\nAnswer: -v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:49 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-2) - -3 - -2. Let t = -22 + d. Let q(j) = -2*j + 8. What is the remainder when 31 is divided by q(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 61*l**5\/20 - 13*l**4\/24 - 3*l**3\/2 - 183*l**2. What is the units digit of k(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52562 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/18)\/c*c*c*c)\/c*c)**(-31)\/(c**(4\/13)\/(c**(-2\/25)\/c)) assuming c is positive.\nAnswer: c**(-562243\/5850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229435 is divided by 3370.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039435257 rounded to five dps?\nAnswer: 0.00394","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 8 = 4*p - 4*p, 7*j = -5*p + 68 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hafbi. What is prob of picking 1 f and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4176 - -0.5.\nAnswer: -4175.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from rqrurquqrqqqulrlur?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11635088519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 34*m + 12. Let g be w(0). Solve 0*t - g = 4*t, 2*t + 9 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13615421 bigger than -13615420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61778599 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*j**3 + 4*j**3 - 5*j**3)*(1 - 2 - 1)*(24 - 17*j - 24).\nAnswer: 1734*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 109229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*p - 4*p + 84, -5*p = -15. Let z = m - 78. Which is the closest to z? (a) -5 (b) 6\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 228 = 6*x. Let n = 64 + x. Let w(y) = 10*y + 12. Let h(u) = -3*u + 6*u + 5 + u. What is n*h(j) + 5*w(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 8*d**2 + 3. Let q be a(-8). Suppose 3*o = -q, -o - 3*o - 4 = 5*s. Suppose -x + 1 + 6 = s. Let n(k) = -k**3 + 7*k**2 + k - 5. Calculate n(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00429814 to 4 dps.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bobe. Give prob of picking 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f. Let r(z) = 701*z. Determine y(r(q)).\nAnswer: -1402*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:32 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**4\/4 - z**3\/2 - 9*z**2 + 24*z. Factor h(i).\nAnswer: 3*(i - 3)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**5\/4 + 7*d**3\/3 + 16*d**2. Is l(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = u - 3*i, 0 = 3408*u - 3412*u + 5*i + 22 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, 8, -9, -44, -103, -192, -317, -484?\n\"Answer: -k**3 + 2*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*h - h - 14, 5*h = -15. Let f(d) = 7*d**c - 5*d + d**3 - 4 + 4*d - 8*d. Let k be f(-8). Solve 0 = q + k*a + 17, 2*q + 3*a - 2*a = -13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74455 times 995\nAnswer: 74082725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/22 and 346\/48 + 2\/(-6).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddddddxdddddddddddd.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Four letters picked without replacement from vvvvhvvvvvvhvvvvc. Give prob of picking 2 v and 2 h.\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 0.5 (b) -5.4 (c) 2\/9 (d) -0.08 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -2 (b) 4 (c) 438\/7 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(130)*3)\/(sqrt(120)\/sqrt(12)*4).\nAnswer: -3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1402 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1 = -5*j, -2*j + 14 = 45*t - 50*t. Let m be ((-3)\/(45\/6))\/(t\/8). Solve 2\/5*r**4 + 0 + m*r**2 + 6\/5*r**3 + 0*r = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v**2 + 47*v**2 - 33*v**2 to p*v + n*v**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 168 + -162. What is the lowest common multiple of 321 and k?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/(-2) + (-130)\/(-104).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -1 - (4 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11344 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2986371cm to kilometers.\nAnswer: 0.000002986371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525 != 3049\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + r + 1. Let o(t) = t**2 - 6*t - 6. Suppose -8249 = -21*f - 2264. Suppose 5*q - 290 = -f. Determine q*o(y) + 6*g(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**2 - j**3 + 4 - 75*j - 4 + 2*j**4 + 77*j as d*j + n + s*j**2 + k*j**4 + h*j**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-468)\/104)\/(90\/(-20)))\/((-3)\/(-81))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4+-24321519\nAnswer: -24321523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -261700 to the nearest 1000.\nAnswer: -262000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 396992875*j**4 - 1413572752*j wrt j?\nAnswer: 4763914500*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, o: 1, d: 1}. What is prob of picking 3 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 2*n + 5*s + 21, -2*n = 5*s + 19 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331, 576, 799, 988, 1131, 1216, 1231, 1164?\nAnswer: 1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/4 and 26\/(-5)*(-2710)\/(-18428)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 26. Calculate x(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k + 2*k**2)*(0 + 3 - 2) + (5*k**2 - k**2 - 3*k**2)*(1 - 1 - 1).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.239 - -123.331. Let n = 152 - o. What is n rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s + 20*s - 9*s)*(0*s**2 + 3*s**2 - s**2) + 11*s**2 - 5*s**3 - 11*s**2.\nAnswer: 37*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:14 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 17*o - 66. Let t be h(4). Let c = 13 - 12.9. Let a = -4 + 8. What is the biggest value in a, t, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65465562 and 37920?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3270\/140 - -3) + (-1)\/(-7) and 31\/532.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149174340 a multiple of 489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uss when three letters picked without replacement from {s: 2, u: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4*v + 8, -5*p - 2*v - 5 = 7. Let i(b) = -3*b - 23. Let y(g) = g**3 - 9*g**2 + 6*g + 8. Let r be y(8). Let u be i(r). Sort p, -1, u.\nAnswer: p, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 4*v - 19. Let t(b) = b**2 + 5*b - 19. Suppose -u - 20 + 10 = -p, -2*p - 15 = 5*u. Calculate u*r(g) + 4*t(g).\nAnswer: -g**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10714891 and 2233.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.323 in 3, -14, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993381 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -7. Let y be -45*(-10)\/1 - 2*h. Suppose y = 4*g - 56. What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 54. What is the remainder when t is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - x - 2. Let l(b) = 3*b**2 + 2*b + 5. Let m(d) = -2*l(d) - 5*o(d). Let i = 4 + 11. Suppose 5*c - 3*c = 3*t - i, 2*t - 10 = 4*c. What is m(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - 9. Let u = i - -55.0000031. Round u to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from {a: 1, i: 1, b: 1, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.8 + -13.4. Which is the closest to -0.5? (a) -0.3 (b) 1\/11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -13*n**2 + 12*n - 7. Let b(r) = 7*r**2 - 6*r + 4. Let o = 11 + -7. Let z(y) = o*v(y) + 7*b(y). Factor z(k).\nAnswer: -3*k*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3845 and -0.406.\nAnswer: 1561.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -11971.\nAnswer: -1197.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3553\/1122 + (-10)\/(-12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2705*l + 441 - 135691 = 0 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -216, -229, -264, -333, -448, -621, -864?\n\"Answer: -2*z**3 + z**2 - 2*z - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 + -296. Let q = 261 + l. What is the remainder when q is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454806 is divided by 201.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -17*g + 9*g + 5*g + 0*g + g - 20. Give z(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -36775*x + 94. Let h(d) = 4*d. What is i(h(z))?\nAnswer: -147100*z + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdkkdd. Give prob of sequence kkd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 632*p**2*r**4*v - 5*p**2*r**2*v + 2*p*r**2*v - r**4*v - r**4 - 15*r**2*v - 2 wrt r?\nAnswer: 15168*p**2*r*v - 24*r*v - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 481135 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2*i - 5 = 0, 2*a + 0*a + 2 = -2*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 10:23 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -983.54 + 507.41. What is d rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -87 (b) -0.5 (c) 5 (d) -11\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 91202\/3 or 30401?\nAnswer: 30401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -137\/4. Let f be (-2)\/(1 - -1)*-1. Let m be (f - (1 + -2))\/(-2). Which is greater: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t + 0*t + 11700 = 0. Let o be 780\/t + (-1 - -3). Suppose -5*q = 2*h + 13, -3*q + 3*h - 2*h - 10 = 0. Sort o, 0.2, q, 1\/7 in ascending order.\nAnswer: q, o, 1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.42? (a) 1 (b) 0.1 (c) -1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0622 and 1444.70056.\nAnswer: 1444.63836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 0.4 (c) 2\/53 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.2 + 6.6. Which is the fourth biggest value? (a) 3 (b) -1\/3 (c) l (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 568856 - 157262. Suppose -30519 = 15*p - y. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f + s + 5, 3*f = -4*s - 9. Let j(z) = -z**3 - 4*z**2 - 2*z. Let p be j(-3). Put f, -4, p, 10 in increasing order.\nAnswer: -4, p, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -5. Let o = 12 - -8. Let s = o + v. Calculate the remainder when 25 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35175 and 1809.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5863*i*m**4 - 19*i*m**2 - 2*i*m + 2*i + 925*m**2 wrt m.\nAnswer: -140712*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4314*w - 8637*w + 0 + 4321*w + 0.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/21 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/156 and 67\/72.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 minus -0.27309732?\nAnswer: 74.27309732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**5\/60 + n**4\/12 + 13*n**2. Calculate a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6877, 6876, 6875, 6874?\n\"Answer: -g + 6878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvsufurg. What is prob of sequence fug?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11664.6 + -29804478.9?\nAnswer: -29792814.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -927\/5 - -185. Which is the nearest to r? (a) -2 (b) -1\/4 (c) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = 0. Suppose -4*c**3 + 0*c**3 - 2*c + 5*c**2 + i*c**3 + c**4 + 0*c**2 = 0. What is c?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7062 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-52)\/(-14) + (-2)\/(-7). Let l be (-6)\/(-24) + 30\/8. Solve 3*d = n*d + l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-20))\/((-14)\/(-35)). Let p(y) = -1 + y + 2 - 3. Let h(w) = 2. Calculate l*p(k) - 2*h(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228409*c + 189 = 228400*c for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18256 divided by 5?\nAnswer: -18256\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + 1091?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0)*(10\/(-4) + 2). Suppose z = -4*x + 704 - 144. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (55 - 17 - 91).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 677892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 51*b + 5581. Calculate a(-110).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/20 + (-1)\/(-5). Which is the nearest to 0? (a) -0.5 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**2 - 2452*i + 7392 = 0. Calculate i.\nAnswer: -616, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 0*d**2 + 6*d**2 + 2*d**3 - 5 - 2*d**3. Let r be k(-6). Let j(q) = -2*q - 1. What is j(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/92)\/((-3)\/12)*-7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - 2*t**3 - 2*t**3 + (3*t + t + t)*(-14*t**2 + 8*t**2 + 19*t**2).\nAnswer: 64*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 56\/(-165 + 171 - -6*2\/(-3)). Solve a*n + 5*n + 198 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 34. Let c be ((-1)\/(-1) + 7)\/2. Suppose -w = c*w. What are the prime factors of v(w)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - r - 12 = 0, 3*r = 7*r - 16. Calculate the lowest common multiple of 22 and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53229.2 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5917.623g to milligrams.\nAnswer: 5917623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 65449, 65457, 65465, 65473, 65481, 65489?\n\"Answer: 8*f + 65441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/18*7 + (-656)\/2952.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30203173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 2*b**2 + 2*b**2)*(-2 - b**2 + 2) + 5 - 5 + 23*b**4 + 5*b**3 + 3*b**4 - 5*b**3.\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159 + -104. Suppose u - 5*u + d = -5*o, -u = -5*o + 5. Suppose -4*j + 8*j - u = 0. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + 404*j**4 + 0*j**3 - 1 - 4*j**3 - 2*j + 0*j**2 - 405*j**4 to f*j + y*j**4 + p*j**3 + a + l*j**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-276)\/(-207)*(-24)\/1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1703656?\nAnswer: 2, 23, 47, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**4\/4 - 5*y**3 + 7*y**2 - 18*y + 8. Let g be h(-16). Let m be ((-36)\/g)\/((-2)\/14). Solve 3 = -3*z + m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13184, -52740, -118672, -210986, -329688, -474784?\nAnswer: -646280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/2 - (13 - 0). Let a be (m\/(-4))\/(10\/(-40)). Is a < -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 64 = -5*p - 52, -24*w + 320 = 6*w + 5*p for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88737\/1064 + 1570\/19. Let h = 4187713\/126 + -33236. What is the common denominator of n and h?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(2\/4*2). Let g be 16\/(-6) + (-2)\/s. Is 4 a factor of ((-4)\/3)\/(g\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494079431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298537417?\nAnswer: 89, 641, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**23)**(-8) assuming f is positive.\nAnswer: f**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 158 and 0.283.\nAnswer: 44.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/15196643 and 47\/1776231.\nAnswer: 136769787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 10, -2\/13, -2.1, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2345*r - 38 = 2349*r, -21*r = -6*n + 183 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 + 4*h**2 - 10*h**2 + 3*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2877497 + 7?\nAnswer: -2877490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d - 2*v = 30*d - 28, -4*v = v + 5 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -14*a + 11 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1415 (base 7) to base 5\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -121340100 (base 5) in base 3?\nAnswer: -1002011221002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3935035500.\nAnswer: 2, 3, 5, 11, 23, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 7*y**2 - 11*y + 19. Let m be z(8). Which is the second smallest value? (a) 0.4 (b) m (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*r + 7. Let k = r + 6. Solve 3*c = -k*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnmnnnetennntjnnndt. What is prob of picking 1 t and 1 m?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, u: 3, o: 1, h: 1, r: 6}. Give prob of picking 1 r and 1 o.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -221 + 220.87. Let w = 3.13 + i. Let c = -417\/8 - -52. Put w, c, 2\/9 in descending order.\nAnswer: w, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/55, -5, -1, -4, -7 in descending order.\nAnswer: 8\/55, -1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335982 is divided by 157.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1090280*n**4 - 36665*n + 4?\nAnswer: 13083360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Suppose -23 = -5*x - a, 0 = -q*x - x - 2*a + 18. Find the second derivative of -p**3 - p - p**x + p**3 wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -467 + -64?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*l = a + 1550, -4*a + l = -2065. What is the greatest common factor of 36 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000150695 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1509*g**2*z - 108*g**2 + 23979*g*z + 67098 wrt z.\nAnswer: 1509*g**2 + 23979*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1848*l*v - 1626*v with respect to l.\nAnswer: -1848*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 7*d**2 + 5*d + 8. Let g(x) = -3*x**2 - 4*x - 2. Let l be g(-2). Let k be j(l). Suppose k = 5*b - 11. Solve -b*n = -11 + 31 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20406 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: What is 646.4058 micrograms in kilograms?\nAnswer: 0.0000006464058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d + 5. Let h(g) = g**3 - 3*g**2 - 2*g + 14. Let m = 178 + -175. Let l be h(m). Let r(s) = 3*s - 3. Calculate l*r(f) + 5*z(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -492, -1106, -1954, -3030?\nAnswer: -4328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 13452*v - 67858614.\nAnswer: -2*(v + 10089)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*w - 5*d = -70121, 35061 = 2*w + 3*d. Suppose w - 708 = 27*p. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -145. Let c = -44 + o. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2173\/18, -2\/7, 0.3.\nAnswer: -2\/7, 0.3, 2173\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175072?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145*d**2*i*p**2 + 3*d**2*p**3 + 3*d*i*p - 2*d*p - 20*i*p**3 + 4*i + 2*p**2 wrt d?\nAnswer: -290*i*p**2 + 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 5*o - 9. Put o, 3\/4, -2\/13 in decreasing order.\nAnswer: o, 3\/4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -135*o - 135*o - 10269 + 269*o in the form m + w*o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-15))\/(2\/(-6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105514947.\nAnswer: 3, 107, 36523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z + 9. Let p be z + (-4)\/(180\/(-141)). What is the nearest to -1\/2 in -3\/8, -0.2, p?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/7)*b*b*b**(2\/39)*b*(b**(-1\/4))**(-2\/55))**(-1\/13) assuming b is positive.\nAnswer: b**(-79033\/390390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 7*p**2 + 3. Let v be b(7). Suppose v*k - 2 = 5*k. What are the prime factors of 16 + 2*k + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 - 222230?\nAnswer: -222141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 278*j**2 + 17379 + 977*j**2 - 17377 to i + q*j**2 + w*j and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let i be (-6)\/(-10) + (-10)\/25. What is the nearest to 1 in f, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/11 in -3\/115, 1\/19, -0.1, 2\/3, -7, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 470 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64427.\nAnswer: 11, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/(((-27)\/(-15))\/(-3))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1448? (a) 1 (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304*0.5.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Suppose 6*o - 6 = 12. Let t(q) be the first derivative of 2\/3*q**3 + o + 0*q**2 + 0*q. Calculate t(p(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.8988 - -0.1228. Let c = p - -10.2807. Let m = c - -1.5. Round m to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -0.2 (b) 0.3 (c) 0.12 (d) -2578.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -47*o - 7. Let z(j) = -46*j - 6. Let q = -2426 + 2432. Calculate q*z(i) - 5*f(i).\nAnswer: -41*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -706*i**3 - 4*i**2 - 116*i?\nAnswer: -4236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 8. Suppose l + 0*l = v. Factor 2\/7*x**2 + 2\/7*x**4 + 0 + 4\/7*x**3 + l*x.\nAnswer: 2*x**2*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3082 - -3095. Solve h = -4*t - j, h + 10 + 7 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 180 + (4 - 9). Let z = r - 139. What is the remainder when 194 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.45 - -1.45. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/50 - 22\/(-30)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 (base 13) in base 10?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5780 is divided by 1914.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y**3 - y**2 - 3*y + 2. Let r(o) = 21*o**3 + 2*o**2 + 7*o - 5. Calculate -3*r(c) - 8*x(c).\nAnswer: -7*c**3 + 2*c**2 + 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 2554*a\/7 + 468420\/7.\nAnswer: 2*(a + 222)*(a + 1055)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*(1 + 21\/(-15)). Suppose 0 = -4*r + 4*u - 32, -x = -0*r - r - 2*u. Let t(q) = 241 - 242 + 7*q - 3*q - 12*q + 4*q + 2*q. Calculate t(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*j = -3 - 1, 0 = 5*j. Let p(r) = r. Let b(u) = 7*u + 1. Calculate d*b(m) - 3*p(m).\nAnswer: 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*o + 4*i, -8*i = -5*o - 3*i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(153) + -2)*1*6)**2 + 3.\nAnswer: -432*sqrt(17) + 5653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1116662 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 406 and 35264.\nAnswer: 246848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -655140 + 13.\nAnswer: -655127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 473274974 and 12?\nAnswer: 2839649844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(4 + -6). Let s be -3*p*15\/9. Let a be 14 - (-4)\/(s - 3). What is the highest common factor of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 - -146.029. Let g = 16.971 + v. Which is smaller: g or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 712 and 20?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*k - 3*n = 244*k + 63, 2*k = 3*n + 84 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24 - (-7990)\/51)\/(3\/1). Is 59 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55940338137 + -55940338396.00000147. Let p = l - -259. What is p rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1330 = 4*a. Suppose -g - 13*g = -a. Calculate the remainder when 71 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(2\/7)))\/o)**(-30)*o**(-5)*o*o**(1\/3)*o*(o**0*o*o)**(-1\/9)*o**3\/o*o**(-1\/5) assuming o is positive.\nAnswer: o**(6407\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 17 - 7 - 12 + d - 1. Let j(f) = 2*f - 6. Determine 4*j(n) - 9*u(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 + -6.9. Let b = -2.2 - -2.3. Let h = 51\/10 + -38\/5. Put t, h, b in descending order.\nAnswer: b, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 4)*153\/(-2). Let w be n\/42 + 4\/(-14). Solve w*c = 5*c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -23. Let w = v - 5. Let q = 17 + w. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1516.9 times 0.3\nAnswer: 455.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njja when four letters picked without replacement from nnacjjaagj.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -31*p**7\/42 + p**6\/120 + p**5\/60 - 113*p**3\/6 - 53*p**2 - 3. What is the third derivative of k(a) wrt a?\nAnswer: -3720*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7 - t + 2 + 4*t. Let y be n(4). Let u = 13 - y. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 656 and 5520?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 51120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5070320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2. Suppose -4*m + 4 = -h*m. What is the units digit of 6 - m*(0 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714a67 (base 11) to base 6.\nAnswer: 40341341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - 44\/66 - -1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21082862 or -21082849?\nAnswer: -21082862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -2 + 1 - (113 - 114) - 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3759642 is divided by 1406.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*z + 2, 5*z + 4 = -a - 2*a. Let d be 256\/12 + a\/3. Let j = -13 + d. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or -166481\/6140?\nAnswer: -166481\/6140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -1.5. Let b(w) = -5*w + 7. Let l be b(-5). Let q be l\/63 + (-4)\/14. What is the nearest to p in 3, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1181 + 593 + 16377*d + 588 as s + z*d and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -27*q - 8. Let w(l) = -l**2 + 3*l + 7. Let v be w(5). Calculate the remainder when t(v) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6) + (-4)\/15. Let x = 4.993334 - -0.006666. What is the biggest value in a, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 68, 7, -22, -6 in descending order.\nAnswer: 68, 7, -1, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*n - 779*n = 280 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4))**(-9\/5)*(q*q*q*(q\/(q*q**(-2)))\/q*q*q)\/q*(q**(-2\/31)\/q)\/q)**(1\/2) assuming q is positive.\nAnswer: q**(1541\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2. Let o(y) be the first derivative of 13*y**3\/3 - 5*y + 10. Let n(u) = 84*u**2 - 32. Let a(s) = -5*n(s) + 32*o(s). Give a(m(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 2*z**2 + 4*z - 4. Let s = 26 + -13. Suppose -4*p = -s + 1. Is w(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 17*x**2 - 5 - x**2 + 0*x**2.\nAnswer: 18*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 23 - 3)*(337*b - 3*b + 127*b) to the form t*b + f and give t.\nAnswer: 4149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 f when three letters picked without replacement from ieivdkikkiedfee.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173 divided by -586.\nAnswer: -173\/586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 6*h - 4*h + (4 - 2 - 3)*(3*h + 21 - 21) - h + h - h + (7 - 2 - 3)*(h - 3 + 3) + 2 - 2 - 2*h - 3*h + 3*h - 2*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 96815.81 days?\nAnswer: 13830.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 0 + 0 - 3*r**2. Let l(o) = 244 + 3*o - 81 - 83 - 80. Give l(s(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3750 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*t - t - 1225597. List the prime factors of t.\nAnswer: 103, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 + 20*i + 25. Let w be t(-5). Suppose 2*z + 4 = 2*c, 0 = 6*c - 3*c + z - 22. Solve c*r + 12 = -w*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -0. Let i(l) be the second derivative of -l**4\/12 + l**3\/3 + 3*l**2\/2 + 10*l. Determine i(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 3366756?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from {z: 3, d: 4, x: 1, k: 1, b: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 - 2.5. Let p = -0.48 - -0.18. Is p <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -188 - -188.0018. What is k rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -22. Let t(j) = -z*j + 2*j - 4*j + 3*j. Let g(l) = l**2 + l**2 + l**2. Calculate t(g(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2671 and 9204.\nAnswer: 24583884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1096, -2\/3, -42\/131, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1344 is divided by 47 + (-5282)\/114 + (-3962)\/(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -5.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 15 + -7 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(80) + (sqrt(80) + -3 + (sqrt(80) - 3*sqrt(80) - sqrt(80)) + sqrt(80))**2).\nAnswer: -445 - 140*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from sfhsihfz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 + -0.4. Let w = -136 - -135.144. Let i = c + w. Round i to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -72 + 234. Suppose 2*u + 212 = 4*u. Let c = k + u. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-6630)\/3672*12\/(-5).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(147) + 0 + sqrt(147) + 1 + 5 + -2 + sqrt(147))*-3)**2.\nAnswer: -12051 - 1512*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -381?\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a factor of 1157785567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/72 - 214\/24. Calculate the common denominator of (-2)\/x*(-101)\/(-8) and -86\/15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*q**4 - 9*q**4 - 73*q**4)*(-2 - 4*q + 2).\nAnswer: 444*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 12 - (-181 - -298).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 106 times -1\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 80*w - 151. Let b be y(2). What is the greatest common divisor of 288 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349020724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h + 0*h + 4*h)*(-1 + 1 + 1) + 4*h - 6*h + h + 17*h - 15*h + 24*h to the form o + x*h and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/5308 and -41\/29194.\nAnswer: 58388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 + 6*h**3 - 4*h**3 - 3*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = -2*o + 8, -4*v = 3*o - 11. Suppose 2*d = -2*u + 3 - 1, -3*d + o = 4*u. Solve -5*l = u*b + 29, 11 = b + 3*l + 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7 + 11 - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7343 - 7339. Which is the nearest to -0.2? (a) -0.2 (b) -3.7 (c) t (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 324142839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414 a factor of 11809817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -77, -217, -467, -857, -1417, -2177?\n\"Answer: -5*m**3 - 10*m**2 + 5*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*w - w + 79, 0 = -4*t + 2*w + 70. Calculate the remainder when t is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11200 - -11305. Solve 34*l - 13*l - y = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-1)\/(-39)*27\/9\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319517 is divided by 415.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4\/7 - 1821*h**3 + 41170406*h**2\/7 - 3487083060*h\/7 + 3445925400\/7 = 0. What is h?\nAnswer: 1, 86, 6330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011033855 rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1410*i**3 + 25*i**2 + 45*i - 581448432 wrt i.\nAnswer: 4230*i**2 + 50*i + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4*-18)\/((-3)\/84*2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/14 - (-4)\/14. Calculate the remainder when (-53)\/(6\/(-3) + a) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3425430119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. What is the third derivative of -6*k**5 + k**2 + 3*k**5 + k**m wrt k?\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151 by -410862.\nAnswer: -151\/410862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 857469 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 60850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -50928 >= -50930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbi when three letters picked without replacement from iwiqiidbiiiqiiddqdq?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*l + 3*g - 6*g, l + 4*g + 4 = 0. What is the remainder when (2449\/(-186))\/(2\/l) is divided by ((-9)\/2)\/(1\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9135541 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3821 divided by -5.\nAnswer: -3821\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1 - -113) + -52 + 10 + -4 + 35.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*z - 57. What is the greatest common factor of z and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -49*s**3 - 26*s**2 - 6*s. Let t(r) = -25*r**3 - 12*r**2 - 3*r. Calculate -13*t(x) + 6*v(x).\nAnswer: 31*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - -8) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -80, -303, -674, -1193?\n\"Answer: -74*v**2 - v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15392 or 15387?\nAnswer: 15392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, y: 1, p: 1, m: 1, l: 5, t: 3}. Give prob of picking 1 m, 1 q, and 1 y.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + 27*z - 28*z - 2*z**3 - 84*z**2 - 2*z**2 + 0*z**3 in the form y*z + w*z**2 + d*z**3 + b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwijyjyyjyjyjyyj. What is prob of sequence jy?\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**4\/6 + 29*v**3\/3 + 62*v**2 - 76*v - 4. Factor m(h).\nAnswer: -2*(h - 31)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 64*q**2 - 124*q + 6. Calculate the remainder when 3279 is divided by l(62).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t - 18. Let u = -0.11 - 1.89. Which is the biggest value? (a) t (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373422344?\nAnswer: 2, 1723, 27091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 7 + 4 + (-1 - -4) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -55, -109, -173, -241, -307?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 + -35. Suppose -n - 43 = -4*x, -4*x = -0*n + n - a. Solve 2*m + x = 4*q, m - 3*q = -m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 317 - 311 - (2 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38897976*v**5 - 67*v**2 + 17802 wrt v.\nAnswer: 2333878560*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 - 2*p**2 - 1 + 0 + 2 + 0*p**2 as s*p**3 + z + c*p + t*p**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**4 + 2*k**3\/3 + k**2\/2 - k + 63. Let p(v) = -13*v**3 - 7*v**2 - 4*v + 2. Calculate 7*c(y) + 2*p(y).\nAnswer: 2*y**3 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (451*p + 1 + 2*p**2 - 451*p)*(3*p - 5*p + 0*p).\nAnswer: -4*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 + 91. Let q = -0.578 + -0.112. Which is greater: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23533 = 6*t - 23497 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:54 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -304, -2\/19, 0, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, 0.1, -40, 4.\nAnswer: -40, 0.1, 1.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d - 224*d + 4 + 66*d + 3 - 13 + 5.\nAnswer: -136*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -3 + -2 - (29 + -24)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2122557*w - 2122557*w - 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1496*o - 106225. Calculate h(-71).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.3445ml in litres?\nAnswer: 0.1443445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -85503 - 37.4?\nAnswer: -85540.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**6\/15 + a**4\/12 + 31*a**3\/6 + 2*a - 3. Let q(i) be the second derivative of n(i). What is the derivative of q(u) wrt u?\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 0, 5 = -5*j + s + 4*s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12036 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/64 + (-162)\/(-4)*(-92)\/(-16) is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in decades?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-15)*684\/798.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2)\/(((w\/w**5)\/w)\/w*w)*(w**1)**(1\/24))**(1\/44) assuming w is positive.\nAnswer: w**(133\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12608249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35482, 70957, 106426, 141889, 177346, 212797, 248242?\nAnswer: 283681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(7) + 1))**2 + sqrt(21)\/sqrt(27) + 3.\nAnswer: 25*sqrt(7)\/3 + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31086659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(24)\/(sqrt(8)*-1)) + -4.\nAnswer: -4 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 92 = -u. Suppose 41 = 2*o + o + 5*c, 5*o - u = 3*c. Let b = -93 - -95. Solve -o + 1 = -b*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*k + 25*k - 28*k - 80*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 133605 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -345\/101 or -2?\nAnswer: -345\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3331 + -3321. Calculate the lowest common multiple of h and 172.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 9*q**2 - 253*q + 39. What is the remainder when 139 is divided by p(21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + 5 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**4\/12 - f**3\/2 - f**2 - 2*f + 24. Let u(h) = h**3 - 5*h**2 - 12*h - 9. Calculate 9*n(t) - 2*u(t).\nAnswer: -2*t**3 + t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 4:34 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 522 = -u + 59, -5*u - 383 = -4*q. Let p(m) = 179 - 87 - 14*m - q. Let d(t) = -t**2 + 4*t**2 - 2*t**2. Give d(p(h)).\nAnswer: 196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*f + 7. Calculate the common denominator of (f\/(-36))\/(1\/17) and 49\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -215, -260, -343, -476, -671, -940?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001581 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 3*p**2 - 2*p**2)*(-334*p + 328*p + p**3 + 0*p**3) + 22*p**5 + 2*p - 48*p**5 + 20*p**5.\nAnswer: -5*p**5 - 6*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = o - 19, 5*o - 5 = -3*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.947354 to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 89. Let t(c) = -578*c. Calculate t(d(q)).\nAnswer: 578*q**2 - 51442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 10*n - 45. Let u be h(4). Suppose 2*a = -u*m + 6*m + 4614, 5*a + 3711 = 4*m. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131234 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: -1013 (base 4) to base 15\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2525, -10113, -22761, -40469, -63237, -91065?\n\"Answer: -2530*l**2 + 2*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-4)\/64 - 70\/(-16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 9 = -3*j, 2*z + 2*j + 1 = 3. Suppose 0 = -q - z*i - 39 + 451, 5*q - 2060 = 5*i. Suppose q = 3*m - 221. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**5*t - 6*i**5 - 3*i**3 + i**2*t + 73*i**2 + 1 wrt i.\nAnswer: -120*i**2*t - 360*i**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + 0 + 3 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 13801\/29 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) - (-1325)\/(-20). Let a be 13253\/6 + (-11)\/w. Suppose -a = -5*h + 4*d, -5*h + 1675 + 546 = -d. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*b, -2*b = 6*w - 8*w + 60 - 56 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (251 - 254) + (622\/5 - (-6)\/(-15)). Solve -109 = -2*f - q for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7466917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33260?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2451 or -2383?\nAnswer: -2383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 - 0.1?\nAnswer: 791.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 15 = -3*z. Suppose 5 + 1 = -z*c. What is the units digit of ((-10)\/c)\/((-1)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, a: 9}. What is prob of picking 4 a?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 47*b**2 - 84*b - 111. Calculate f(-23).\nAnswer: 1292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21763990\/20 - (5 - 8)\/6*1. Round q to the nearest 10000.\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 - 9 + 41*j - 10 - 6 - 7 + 28.\nAnswer: 41*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 5, 7, 13?\n\"Answer: 2*c**2 - 8*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924861439 to the power of 1\/2, to the nearest integer?\nAnswer: 43873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 56. Solve 24 = x*p - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 33*g + 161. Let t be b(6). What is the closest to 0.1 in t, 14, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukgu when four letters picked without replacement from gukuggggggugggggk?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 45. Let y be w\/5 - (-24 + 1). Determine r so that -12*r - 12 - y*r**4 + 25*r**3 + 37*r**2 - 4*r**2 - 7*r**3 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 33*j**4 - 11*j**3 - 11*j**2 + 11*j - 15. Let u(o) = 17*o**4 - 6*o**3 - 6*o**2 + 6*o - 8. Let r(x) = -11*u(x) + 6*w(x). Differentiate r(g) wrt g.\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 2*w - 3. Let k be x(4). Let q = 8 - k. Suppose -5*z = -q*z + 4. Sort 3, 5, z in descending order.\nAnswer: 5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478282 is divided by 321.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212 - -214. Let s(o) = 2 + 8*o**k + 4 - 6. Let b(m) = 20*m - m**2 - 6*m - 14*m. Calculate b(s(l)).\nAnswer: -64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141 + 100. Let t = d + 40.945. Let p = 0.455 + t. Is 2\/17 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o - 452 = 38*o. What is the remainder when o is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2040 and 4520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 + 14 = -4*h. What is the remainder when h is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 9*i - 40. Solve 0 = 5*a - z - i, 2 = -2*z - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131200100 (base 4) to base 15\nAnswer: -25c18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.901 + -0.099. Let l = -0.1 - 3.9. Which is the third biggest value? (a) -2\/11 (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3\/11 + 788*o**2 + 9426354*o\/11 + 74857104\/11 = 0.\nAnswer: -2163, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uiuuuiuuuuu?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -31\/28619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*h + 3*y - 18, -2*y + 22 = -4*h. Let b = 23 + h. Let t be 1\/6 - b\/(-6). Solve -t*c - 4 = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + s**2 - 1. Let l(p) = -p**3 + 2*p**2 - 6*p - 3. Determine l(x) - 2*o(x).\nAnswer: -3*x**3 - 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 56 + (5 - 1)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23574, -28387, -33200?\nAnswer: -38013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + -12 + 20 + (-9 - 24).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 15*u + 1. Let j = 38 + -44. Let n(c) = -61*c - 3. Let f(s) = j*n(s) - 26*r(s). What is the derivative of f(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 51*s - 415. Give y(58).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.79 + -0.79. Let f = -40.99999944 + h. What is f rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112112022111 (base 3) to base 15\nAnswer: 59b17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(8 + 259\/(-14))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + k + 1. Suppose -2*r + 3*n = -5, -3*r = -8*r - 2*n - 16. Let u be c(r). Suppose 36 = -0*p + u*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*t + 3567 + 666 = 53*t + 427 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 5*z - 4*z. Suppose -d + 4*d - 36 = 0. What is the remainder when z is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37\/7 - 40\/8. Put 4\/5, 1\/8, p in descending order.\nAnswer: 4\/5, p, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 2*s = s - 23, 0 = -2*o + 3*s + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -172*d - 38. Let b be s(-10). Suppose 5*g - 4183 = -3*p, 0*g - 2*g + p + b = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 793608, 1587220, 2380832, 3174444, 3968056, 4761668?\n\"Answer: 793612*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 169682.7 - 2.493822.\nAnswer: 169680.206178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p + 15. Let t be -3 + (-3 - 0 - -1). Let b be s(t). Solve -5*r - 2*i - 3*i = -35, b = -5*r + 2*i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2537 + -2310. Does 33 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/5)\/(p*(p*(p**(-4)*p)\/p)\/p))\/(p**0)**(-1\/5)*(p*p**(-1))**41\/(p**(1\/3)*p*p**(1\/3)*p) assuming p is positive.\nAnswer: p**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -15. Let g = 8 + k. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*a - 20 = 3*y, -a = 2*y + 22. Let p be y\/63 - 1\/7. Suppose 0 = 2*n - 1 - 1. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1326 (base 13) in base 10?\nAnswer: -2736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1187 and 1.5351?\nAnswer: 1185.4649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1092*d**5 + d**4 - 5209*d**3 + 7*d**2 - 34191*d - 11 wrt d?\nAnswer: 65520*d**2 + 24*d - 31254","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 720 = 140781*i - 140736*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190616, 190615, 190614, 190613?\nAnswer: 190612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 17*n - 16. Let c be (-95)\/6 - 10\/60. Let g be j(c). Let r(l) = -l**2 + 10*l - 9. Let x be r(6). Solve 4*v - x - 1 = g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33\/58 - -2\/29. Let v = 27 + -14. Let t = v - 22. Which is the second biggest value? (a) n (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*p + 5*s, 3*s - 9 = 4*p - 28. Let k(a) = 19*a - 1441. Let r be k(76). Solve -2*h - r*h - p = -2*v, -5 = -3*v + 2*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**5 - 6*m**5 + 2*m**5)*(5 + 1 + 6)*(-4 + 1 + 2).\nAnswer: 12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaauua. Give prob of sequence au.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2512211 (base 6) to base 7\nAnswer: -1065445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 2*x**2 + 4*x**2. Let u(n) = 2*n. Determine u(p(f)).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 91.05107t?\nAnswer: 91051.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, t: 2, g: 11, u: 2}. What is prob of picking 1 t and 3 g?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (320\/(-40)*(-2)\/4)\/(52\/39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*k + 6*k - 3*k)*(44*k**2 - 3305 + 3305) to b + y*k**2 + r*k**3 + z*k and give r.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*u + 114*u + 1 + 1 - 2.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -246, -225, -206, -183, -150, -101, -30, 69?\n\"Answer: x**3 - 7*x**2 + 35*x - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdud when four letters picked without replacement from wuwxgwwddwugwdwww.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*o - 2220. Let d be (-423)\/(-39) + -5 + 2\/13. What is the units digit of d\/14 + o\/(-105)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -686*-2821.15\nAnswer: 1935308.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-2)*214\/(-963)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79016 by -7.\nAnswer: -11288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5010 and 150?\nAnswer: 25050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(10) - -4*-1*sqrt(10)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16496.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1224\/340)\/(6\/(-15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t**(2\/3)*t*t**(-5)*t*t*(t*t**1)**(-38))**(-47) assuming t is positive.\nAnswer: t**(10481\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*p - 4*p. Let t = p - -6. Find the third derivative of 10*s**4 + t*s**2 - 7*s**4 + 0*s**2 wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16424341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3595, -4647, -5699, -6751, -7803?\n\"Answer: -1052*f - 2543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o - 28. Let y be 12\/18 - (-20)\/(-3). Let d be x(y). Find the second derivative of 127 - 22*k - 127 + d*k**5 wrt k.\nAnswer: 160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 6. Let i be o(-4). Let m = i + 17. Calculate the remainder when 25 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (130\/(-15))\/(-26)*(-855)\/60.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*15847\nAnswer: 4754.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28 + -1.01. Let k = -0.43 - h. Let r = -34 - -32.7. What is the third biggest value in k, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505591523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 15*t**2 + 25*t - 11. Let v be u(-13). Suppose -2*z = -5*o + v*z + 31, -13 = -3*o + z. Sort -2, o, -4.\nAnswer: -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4082.\nAnswer: 2, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + z**2 - 3*z - 3. Let d(s) = -1. What is -6*d(l) + 2*t(l)?\nAnswer: -2*l**3 + 2*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 1. Let o(f) = -4*f**2 - 8*f - 4. Let v(s) = -5*b(s) + o(s). What is v(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 26 - 29. Suppose 3*b + d*q = 30, -3*q + 15 = 2*b - 1. Solve -5*y = -3*t - b, 2*y - t - 8 = t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63410051 is divided by 20962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 12, -2*s = 21*v - 24*v + 11837. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/7 (b) -3 (c) 5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 554, 1132, 1704, 2270, 2830?\n\"Answer: -3*c**2 + 587*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*c + 6860 + 12481. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/8)\/(9\/6)*8. Solve y*o - 2 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o**2 + 28*o + 94. Let v = -10 - -3. Let u be -1 - v - (9 - 7). Let m(n) = 11*n**2 + 56*n + 189. Let h(a) = u*m(a) - 7*p(a). What is t in h(t) = 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 1\/6*v**3 - 3*v + 0 + 5\/2*v**2. Is 5 a factor of g(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 8 + 6. Factor 20*o**2 - 8 - 28*o + 8*o + 6*o**2 - l*o**3.\nAnswer: -(o - 2)**2*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103613 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 3)*(-3*a + 0*a + 2*a)*(-970*a - 1069*a - 1519*a) + 4*a - 2*a**2 - 4*a as c + i*a**2 + k*a and give i.\nAnswer: -7118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Let s = u - 1. Suppose 3*z - 4*c = -13, 5*z + 13 = -0*c - s*c. Which is greater: z or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z + 2*z - 1 - 2*z + z. Let q(y) = -y - 7 - y - y - 3*y. Suppose -2*n = -2, 0 = 2*l + 4*n + 25 + 13. Give l*b(f) + 3*q(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**4 - n**2 - 47 + 2*n - 40 + 52*n**3 - 51*n**3 + 72 as z*n**3 + r*n**2 + k*n**4 + a + u*n and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 16*l**2 + 15*l - 6. What is p(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02515324 + -6859.2?\nAnswer: -6859.22515324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/644453120 and -57\/16111328?\nAnswer: 644453120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11*o**2 + 29*o + 184. What is f(-7)?\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157888 + 173535.6. What is p rounded to the nearest one hundred?\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/4578 and 53\/2616.\nAnswer: 18312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/5)\/(3\/115)*3. Suppose 59*r = 57*r + f. Calculate the remainder when r is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) + (-161)\/(-21). Let i(x) = 3*x - 17. What is the remainder when (28\/10)\/((-7)\/(-35)) is divided by i(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 5*l**2 + l + 5. Let x be b(-5). Suppose -16 = -4*g - x*g. Suppose -2*v + 0 = -4. Sort v, g, 1 in descending order.\nAnswer: g, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2719, -4, -4690 in increasing order.\nAnswer: -4690, -2719, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21384744188776 - -0.5.\nAnswer: 21384744188776.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k**2 - 3*k + 1. What is the remainder when 22 is divided by p(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 1)\/(4\/(-56)). Let p = v + -11. Let 5*u**2 - 2*u**2 + 3*u**2 - p*u**4 - 3*u**3 = 0. What is u?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 13*g**2 - 2*g + 2. Suppose -60 = 22*z + 116. What is the remainder when o(z) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/545?\nAnswer: -1\/545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372246 = 119*s - 374388 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501558 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:32 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7050 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: Solve 25 = 5*f - 5*r, f + 2*r + 3 = r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37150 - -38646. Calculate the least common multiple of o and 616.\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531 = 4*w - 5*i, -6*w + 501 = -2*w + 5*i. Suppose 4*s + 0*u - 114 = 2*u, -4*s = -5*u - w. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 76, 25, 3 in decreasing order.\nAnswer: 76, 25, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j - 13*j = 7050. Let c = j + 152. Find v such that -4\/3*v + 1\/3*v**3 + 0 + 4\/3*v**c - 1\/3*v**4 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6570 and 512022?\nAnswer: 7680330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = -5*t + 8, -3*d - 6 = 0. Solve -16 + 4*s**2 - 4 + s**t = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 12*g - 30. Give i(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 10:33 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 16565\/19543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 3:08 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = n - 7, 2*n - 5*t - 13 = 4 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 4. Let w be b(0). Suppose 8 = w*v - 3*v. Solve -2 = -5*f + v*d - 4*d, -2*d = -4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) + sqrt(156)\/sqrt(4)*-6)\/(1*sqrt(363))*-3 - (sqrt(65)\/sqrt(5) + 1 + sqrt(325) + 1)*-1)**2.\nAnswer: 324*sqrt(13)\/11 + 85777\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33233\/30 + 1108. Is 1 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5))**(2\/25)*(f*f**(-2))\/((f**(-3\/7)\/f)\/f) assuming f is positive.\nAnswer: f**(1264\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = -4*r, -3*f + f = r - 3. Let o be 5\/(-2) - (-7)\/(-42)*r. Sort 0, o, 3, -4 in ascending order.\nAnswer: -4, o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 4*d - 100. Let s = -51 + d. Solve 0 = s*c - 0 - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*f + 6. Suppose 5*g - 24 = -f*x - x, 0 = 3*x + 2*g - 15. Find the second derivative of -10*h - 19*h + 3 - x + 6*h**4 wrt h.\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -203 + 238. Let h be (-136)\/(-115) - (-2 - (-84)\/l). Sort -0.1, h, 0.3 in decreasing order.\nAnswer: h, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6 (b) 0.3 (c) -2 (d) -70 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*v + 183*v = -380. Suppose -41 = 2*f - v. What is the remainder when 160 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96482 is divided by 121?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - 3*u + 4*u)*(-u + 0*u + 9*u)*(3 + 2 - 4)*(-1 + 2 + 0) to the form v + m*u**2 + p*u and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a decade in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**3 - 4*a**3 + 2*a - 12*a wrt a?\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 11*d + 6*d - 2, -5*t - 5 = d. Let a(c) be the second derivative of -317*c**3\/6 + c. Is a(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2. Suppose 94 = -4*q + 6*q. Let l = -33 + q. Let k(z) = 16*z + 21*z + 14*z - l*z. Determine c(k(b)).\nAnswer: 1369*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnz when three letters picked without replacement from jjnnjfnjfffjnzjfzj?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 2 - 2 + i + 4*i - 3*i + (1 + 1 + 1)*(2 + i - 2).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000721258 to 6 decimal places.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1607*g + 6550. Determine q(-4).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -20*m**2 - 9*m + 2. Let v(k) = -43*k**2 - 19*k + 4. What is -13*a(w) + 6*v(w)?\nAnswer: 2*w**2 + 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*x + 5*c, 5*x + 4*c = -0*c + 84. Solve -3*f = -f + 3*p + x, -2*f + 16 = -5*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 404\/40602*(-1206)\/(-108)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 901.0562 - 0.0562. Let d = i + -906.03. Let y = d - -0.03. Which is the second biggest value? (a) 1\/11 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2313801181?\nAnswer: 2313801181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 7:27 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 14*p - 2. Give q(-6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/45*(-2 - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460467 is divided by 3510.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1366*i + 3*i**3 + 1366*i - 4 - 2.\nAnswer: 3*i**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-162*w + 162*w - 31*w**2)*(7 - 2 + 5)*(2*w + 4 - 4) in the form t*w + x + p*w**2 + j*w**3 and give j.\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 55680, 5, 0.5, -0.11, -0.1, 0.4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15940313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 258 and 606?\nAnswer: 26058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*z - 4*l - 346, 5*l + 237 = 2*z. Let n(f) = -f**3 - 4*f**2 + 3. Calculate the remainder when z is divided by n(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.1 - -9. What is the smallest value in 1\/4, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152958, -152959, -152960, -152961, -152962, -152963?\nAnswer: -152964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 1 - 13\/13. Suppose -4*s + 21 = 3*h, 1 - 4 = 4*h - 5*s. Solve l = b*l - h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 40*k = -38*k + 11, -2*k - 12 = -2*a. Is a smaller than -7\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 67*y = -36*y - 167997. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*9\/(162\/(-12))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 315 - 626 + 340.\nAnswer: y + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -1, -24, 7597 in decreasing order.\nAnswer: 7597, 3, -1, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52\/3 of a year?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + 5*d + 2*d. Let k(c) = 5*c - 857 + 1712 - 855. Give y(k(g)).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**6\/30 - 6*p**5\/25 + 13*p**4\/20 - 4*p**3\/5 + 2*p**2\/5 - 7. Factor o(c).\nAnswer: c*(c - 2)**2*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*24\/9)\/(10\/(-30))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 62, 4 in descending order.\nAnswer: 62, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -318.4 - -314.9. What is the third smallest value in 4, -6, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 3:19 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37732 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3937126169.\nAnswer: 17, 5669, 40853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -13, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -45, -238, -569, -1044, -1669?\n\"Answer: -g**3 - 63*g**2 + 3*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717118923.1 rounded to the nearest 100000?\nAnswer: 1717100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 times 1230.62?\nAnswer: 125523.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqqk when four letters picked without replacement from qkjgq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 7*h**2 - h - 3. Let b = 6 - 13. Let u be t(b). Suppose -5*a + 16 = -u*n, -21 = -5*n - 0*a - 4*a. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + t + 1. Let z(g) = 3*g**2 + 2*g + 2. Let x(o) = -10*l(o) + 5*z(o). Let v(p) = 4*p**2. What is v(x(h))?\nAnswer: 100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 8*x - 5*r = 300, 14*x + 11*r + 669 = 16*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 464 and 1624.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) -1 (c) -0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.143636 years?\nAnswer: 1.723632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**2 - 786*f - 783. Give j(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*g - 6, l = -4*g + 4*l + 21. Suppose 5 + 4 = -g*r. Let t = 1681 - 1680. Sort r, 3, t, -9 in descending order.\nAnswer: 3, t, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 7:43 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 3*y**2 + 3. Let w be g(-3). Let q = 1 + w. What is the second derivative of -b**5 - b**q - 3*b + b**4 wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15771507*g**2 - 10523*g + 5814?\nAnswer: -31543014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -176 + 184.3. Let b = 8 - d. Let m(t) = -t - 8. Let p be m(-7). What is the closest to 0.1 in -3\/5, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**2\/2 + 13*v + 1. What is the least common multiple of h(7) and (2\/(-3))\/((-8)\/84)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(3 + 2*sqrt(171) + -4*(3 + sqrt(171))))**2.\nAnswer: 2592*sqrt(19) + 18360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.128? (a) 0.2 (b) -1\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1377) - (sqrt(1377) + 1)) + (sqrt(272))**2*-5.\nAnswer: -1364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**2\/2 - 393. Let q(c) = -114*c**2. Determine h(q(b)).\nAnswer: -114*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10 = 8*w - 12*w, -5*c = -4*w + 3. What is the second derivative of -13*x**2 + 35*x - 2 - 30*x - 35*x**w wrt x?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(315)\/(sqrt(28) - sqrt(7)) - (-1*sqrt(180) + 0)) + 2 + -3)*2)**2.\nAnswer: -72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 12, -5, 2\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2533409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55287*n**4 - 15997 wrt n.\nAnswer: 221148*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/8 - 10881*y**2\/8 + 347303*y\/8 - 1464615\/8.\nAnswer: (y - 10849)*(y - 27)*(y - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (1 + 5)) + (-66 + 114 - -21)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -186, -4 in increasing order.\nAnswer: -186, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 - 76*a**4 - 9*a - 10*a + 15*a - 2*a**3 + 26 - 28 + a**2 as o*a**2 + d*a**3 + w*a**4 + h*a + s and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003713 to five dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*t - t + 592, -552 = -4*t + 5*a. Let i = 42 + 2. Calculate the highest common divisor of i and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-45)\/6)*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 91*d**3 + 5*d**2 - 14*d - 32. Let l(o) = -50*o**3 - 3*o**2 + 7*o + 17. What is 11*l(z) + 6*m(z)?\nAnswer: -4*z**3 - 3*z**2 - 7*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170044, -170041, -170036, -170029, -170020?\nAnswer: -170009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(4\/7))\/(z\/z**(-1\/26)))\/((z*z*z**(1\/41)*z)\/(z\/(z*z**(1\/4)))) assuming z is positive.\nAnswer: z**(-57969\/14924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -15, -2, 2, 3\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) 1 (c) -8 (d) 1\/7 (e) 45866\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 15466.\nAnswer: -1\/7733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 695642250 and 875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28100, 28266, 28696, 29516, 30852?\n\"Answer: 21*r**3 + 6*r**2 + r + 28072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1aa8 + 11?\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 9701 = -538. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 - 197760*x**3 + 1955253110*x**2 + 3911099520*x + 1955648645.\nAnswer: 5*(x - 19777)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -74122.\nAnswer: 14824.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6697.463g in nanograms?\nAnswer: 6697463000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -862*m**2 + 1044 - 740*m**2 - 376*m**2 + 797*m**2 wrt m.\nAnswer: -2362*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**3 + 2 - 465*i**3 + 233*i**3 + 12 as s*i**2 + f*i**3 + o + g*i and give f.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u - 14*u + 20*u - 36*u**3 - 22*u**3 in the form n*u**3 + x + b*u + w*u**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -4*z - 23. Let x = 878 + -829. Let b = z + x. What is the highest common factor of b and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 2}. Give prob of sequence dcc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(-8)\/12)\/(((-61776)\/4400)\/117)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-5)*(957\/792)\/29.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90200 by 182.\nAnswer: 45100\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h + 4 = 0, 2*f = 5*h + 10. Suppose -2272 = -3*o + u - 0*u, 2*u = 4. Let p = o + -14396\/19. Are p and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11016*o - 15868 - 8703 = -2539 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wymg when four letters picked without replacement from mmnymgmwggmg.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 32050 = -4*v, -196*v = -201*v + f + 40057. Which is greater: v or 8013?\nAnswer: 8013","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 187, -2189, -6153, -11711, -18869, -27633, -38009?\n\"Answer: -o**3 - 788*o**2 - 5*o + 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 181374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -6356\/13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 9 = 0, -4*w - 74 = -9*w - 2*q. Suppose 3*v - 8 - w = 0. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 111 = -2*v - 5*o, 4*o + 195 = 5*v. Let s(m) = -m**3 + 2*m**2 + 11*m - 10. Calculate the remainder when s(-6) is divided by v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 9*h**2 + 9*h - 6. Let q be a(8). Suppose -v - q*v = -9. Let y = -1 + v. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -38*w - 18. Let a be y(-5). Suppose 0 = -5*n - 162 + a. Factor 2\/13*d - 2\/13*d**n + 4\/13.\nAnswer: -2*(d - 2)*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + (-60 - -54) + 0 - 18.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -1 (b) 83 (c) 1\/7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 6. Let o be q(-4). Let m = o + 5. Suppose f - 2*c - 22 = -3*f, m*c = 15. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + eae8?\nAnswer: eaec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 656 (base 9) to base 6.\nAnswer: 2253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*f + (-f - 1 + 1)*(0 + 1 + 0) + 7*f + 0 + 0.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 3021*a**5\/5 + 1952*a - 4797. What is the derivative of o(d) wrt d?\nAnswer: 12084*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = -4*w + 26, -2*w - 2*h = -16. Suppose -2*b = -7*b + 20. Sort 3, w, b in increasing order.\nAnswer: 3, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 9*r**4 + 11301*r**3\/2 + 950358*r**2 + 19541514*r - 3283344 = 0.\nAnswer: -302, -24, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 7) in base 6?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, 1, 4.\nAnswer: -16, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 627670*l**2*s**2 - 62*l*s**2 + l*s - 562*s wrt l.\nAnswer: 1255340*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219518 and 9191?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + (-104)\/(-12). Suppose -14*v - 13 = -13. Solve -2*x - w + o = -v*x, 2*x - 7 = w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 421 - 297. Suppose -6*z = 2*x - z - 91, -f = -3*x + 5*z. Calculate the remainder when x is divided by 7 + -3 + ((-56)\/(-7) - -10).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71882?\nAnswer: 2, 127, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**9\/362880 + x**7\/30240 - 7*x**5\/60 - 2*x**2. Let h(o) be the third derivative of w(o). Find b such that h(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24477 - 73429\/3. Which is the smallest value? (a) -2\/35 (b) o (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4)\/(14\/644) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + 12059597205?\nAnswer: 12059597285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 371640857 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463080 is divided by 42096.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 105991205 less than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 9*p - 50. Suppose -5*y = -3*f + 21, -4*y - p = -3*f - 4. Let g(r) = -r**3 + 7*r**2 + 6*r - 2. List the prime factors of g(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3155050669?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 487*y = 6787 + 11232. Let w(u) be the second derivative of -2\/3*u**3 - 1\/12*u**4 + 4*u**2 + y*u + 0. Calculate w(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1)*(4 - -3). Let t be -3 - q - (-1)\/1. Let j = 117 + -69. What is the greatest common divisor of t and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 divided by -6?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3624 + 3632. Let g be 1 - 3 - (-2)\/1. Let x(b) = 3 + g*b**2 + 1 + 7*b - b**2. Calculate x(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h**3 - 3*h - 3. Let f(u) = -4*u**3 - 2*u - 2. Let p(l) = -l**3 + 2*l**2 - 4*l + 3. Let v be p(2). Let s = v + 8. Give s*f(z) - 2*j(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (114*h + 188*h + 189*h)*(-85*h**3 + 148*h**3 - 81*h**3) to t*h**4 + q + u*h**2 + m*h + g*h**3 and give t.\nAnswer: -8838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -29935612 and -29935613 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 60?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3374 - -5?\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7190411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 3292365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85284*l**4 + 16178*l**2 + 3 wrt l?\nAnswer: -2046816*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2. Let n(h) = -h - 1. Let y(a) = 6*a + 4. Let f(b) = -b**2. Let q be f(-2). Let m(s) = q*n(s) - y(s). Give m(u(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -252.685 and 263211?\nAnswer: 263463.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**4 - 5*k**4 + 4*k**4)*(3*k + 0*k - 2*k) - k**5 - 2*k**5 + 5*k**5 + 2*k**3 - 2*k**3 + k**5 + (3*k**2 - 3*k**2 - 2*k**4)*(4 - 4 + k).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (52\/20 - 1)\/((-8)\/(-140)). Let o(m) = -7*m**2 - 2 - 19 + 5 + 29*m**3 - i*m**3 - 6*m. Let n be o(8). Which is smaller: n or -2\/245?\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 10) to base 4\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -144 - -1334. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2934, 2028, 518, -1596, -4314, -7636?\n\"Answer: -302*i**2 + 3236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a75 (base 13) in base 8?\nAnswer: -7617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, m: 1, w: 3, v: 3, b: 6}. Give prob of sequence wm.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Are 145674912 and 145674912 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f + 6. Let l(z) = 14*z + 18. Let i(n) = 4*l(n) - 11*t(n). Let s be i(-4). Solve -s*d - 7 = 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 1\/2*q**4 - 75 + 23\/6*q**2 + 77\/6*q**3 - 231\/2*q = 0.\nAnswer: -25, -3, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15393 and 1176?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 4:38 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z + 6*z - 11*z. Let i(m) = -7*m**2. Calculate c(i(l)).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1446*h + 1174*h + 5712 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/103, 7, -11 in increasing order.\nAnswer: -11, 2\/103, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*x + 5150 = 24851 + 15957. Let u(f) = -40*f + 4. Let d be u(5). Let z = x + d. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by -64\nAnswer: -27\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 34 = -4*u. Which is smaller: u or 28\/27?\nAnswer: 28\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 36*f**2 + 15*f + 11. Let v be (-2)\/3*(-189)\/(-21). Is b(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 11 + 9 - 9)*(-2*m**5 + 6*m**5 - 48*m**5).\nAnswer: 1276*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 32*x**3\/11 - 5424*x**2\/11 + 246*x - 338\/11 = 0.\nAnswer: 1\/4, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/5 and -8\/71?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**5\/20 + 5*z**4\/12 - 2*z**3\/3 + z**2 - 22*z. Let a be s(4). Solve -3*t - a*t = 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**15*u*u)**(-1\/24)\/(u*u\/(u\/(u**(3\/20)*u*u)*u))**(7\/2) assuming u is positive.\nAnswer: u**(-331\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 2212*b**2 - 591224*b - 11370384.\nAnswer: -2*(b - 562)**2*(b + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2051035 * -0.04\nAnswer: 82041.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 224201 + -224173. Let n(b) = -13*b + 2. Let w(c) = 14*c - 2. Let o(y) = -6*n(y) - 7*w(y). Let g be o(-2). What is the highest common divisor of g and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + -2 - (-11 - 5)*12\/(-112)?\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 6*g**2 - 7*g + 4. Let f be x(-7). Let n = 1214\/117 + -92\/9. Sort f, -0.2, n in decreasing order.\nAnswer: f, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + 3*z**2 - 9*z + 13. Suppose -4*x - 4*l = -20, -29 = -4*x - 3*l - 9. Is j(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f*f**(-6))\/f)\/f*f*f*f)\/(f\/(f**3*f)))\/((((f\/(f\/(f*f**2)))\/f)\/f)\/f)**(-19\/5)*(f\/f**(2\/11)*f)\/(f**(-3)*f)*f**(3\/4)\/f**(-4) assuming f is positive.\nAnswer: f**(377\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -553385124, 2\/5, 5.\nAnswer: -553385124, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.11. Let c = y + -0.49. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-231)\/(-9) + (-2)\/(-6). Let x be 2\/1*1 + -11. Let n = 20 + x. Solve n = -3*c + p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**5\/20 + d**4\/12 - d**3\/6 - 13*d. Let p(y) = 5*y**3 - 2*y**2 + y. Give -3*i(l) - p(l).\nAnswer: -2*l**3 - l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 15. Let x = -21 + 32. Suppose 0 = 5*n - 89 - x. Calculate the smallest common multiple of n and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -2. Calculate the lowest common multiple of t and (-14)\/(-1) - (-1 - 1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146420580 divided by 5.\nAnswer: -29284116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 8*u**2 + 7*u + 2. Let h be z(-7). Suppose -3*q + 2*q + 2 = 2*t, h*q - 4 = 5*t. Suppose -b**2 - 4*b + q*b + 3*b**2 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 8:29 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9535443 months?\nAnswer: 0.0079462025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from {l: 3, b: 3, u: 1, x: 5, t: 1, n: 4}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434281 is divided by 54274.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 13*b**3 - b**4 - 13*b**3 - 2*b**4 - 2*b**4 + 2*b**4 + (-3 - 4*b**2 + 3)*(-b + b - b)*(-5*b + 3*b + b).\nAnswer: -7*b**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 145353 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 7 + 2)*(1 + 3 - 5)*(-3 + 2 + 3)*(d + 2*d - d) to the form k*d + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 895446*o**3 + 915399*o.\nAnswer: 5372676*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 5*a + 3. Let p(d) be the third derivative of d**6\/120 - 7*d**5\/30 - d**3 + 12*d**2. Let c be p(14). What is j(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**8)**(1\/5)\/((m\/((m\/m**(-9\/7))\/m))\/(m**(8\/13)*m)))**5 assuming m is positive.\nAnswer: m**(1593\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5}. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 5*a - 9. Let i(g) = g - 7. Let c(x) = -6*x + 35. Let w(f) = 2*c(f) + 11*i(f). Let p be w(0). What is d(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v - 100 = 20. What is the smallest value in v, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 10*i - 6716 + 69831. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 33 + 39. Let y = -15 - s. Solve -o = y*o + 5*t + 35, 0 = -2*o - t - 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -115)*(1 + -2). Let j(v) = -24*v + 10. Let f be j(-7). Let m = f + y. List the prime factors of m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**3 - 18*w**3 + 37*w**3.\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -31 + 86 - 27 - 2*t - 26. What is b(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*u - 265*u + 482*u + 4 + 251*u - 241*u.\nAnswer: -25*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37099 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -336, -479, -644, -831, -1040, -1271, -1524?\n\"Answer: -11*o**2 - 110*o - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uddqellz. What is prob of sequence de?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)*n)\/n**29)\/(n**(-2\/51)\/n)**44 assuming n is positive.\nAnswer: n**(649\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(-3\/19)\/((d\/(d*d*d*d*d\/(d\/d**(-7))*d))\/d*(d\/(d*d**(-1)))\/d*d*d))**(-2\/7) assuming d is positive.\nAnswer: d**(158\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6110 + 6110.2. What is the closest to n in 0.21, -2\/3, 3?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 587, -1, -5, 0, -2.\nAnswer: -5, -2, -1, 0, 9, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -9899.68 and -121793138.\nAnswer: -121803037.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Let y = -12 + 5. Let o = 11 + y. What is the closest to -1 in w, o, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/21 and 2*(1\/(-5))\/((-96)\/220).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -42281 + 3*r + r + 42284 - 2*r. Let t be (27 + 0)\/((-1)\/1). Let f = -1 + t. Let o(d) = -10*d - 14. Give f*j(w) - 6*o(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 50632986200 to the nearest one million.\nAnswer: 50633000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnmimnmmii. What is prob of picking 1 i and 1 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*((-285)\/45)\/19*-3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 18\/11, -0.3, 1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34125761.\nAnswer: 31, 1100831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 15*z + 5. Let v(n) = -19 - 9 - 23 - 29*n + 42. Calculate -11*k(w) - 6*v(w).\nAnswer: 9*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 7:49 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001630730691 rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 7*y + y + (-3*y + 0*y + 4*y)*(0 + 1 - 4) + (-11 - 5 - 5)*(-8*y + 5*y - 8*y) as c + j*y and give j.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 4*x - 176 = -3*d, -x - 255 = 5*d. Let q = d + 96. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 + 81 + (8 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 14457\/790 + (-56)\/20.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*t + 4. Suppose -4*i + 4 = -t. What is the units digit of 183\/21 - i\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((79576\/29)\/(-28))\/(-2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79657 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845 (base 14) to base 15.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5177.443 litres?\nAnswer: 5177443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/63 of a week in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 3*q = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c - 89*c = 66*c - 8*c + 660 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/4, -4\/5, -334, -0.34 in ascending order.\nAnswer: -334, -4\/5, -0.34, -1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 6*w + 40. Suppose -964 = -w*n - 2*k, 4*n - 475 = 2*k + 473. What are the prime factors of n?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10870603\/8 + 1361845. Let o = -3032 + v. Find the common denominator of 17\/3 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p**2 + 33*p - 25. Let a(y) = -8*y**2 - 28*y + 17. Let i(u) = -7*a(u) - 5*x(u). What is i(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -450*y*z**3 + 19*y*z**2 + 20*y*z + 1421621*z**3 wrt y.\nAnswer: -450*z**3 + 19*z**2 + 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 64232 from 64709.\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Let d = 0.028 + 3.972. Which is bigger: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)*5*-3)\/(sqrt(55)\/sqrt(396)))**2 + 5.\nAnswer: 89105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 2, c: 2, w: 1, p: 1, k: 1}. Give prob of sequence kf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4035089 is divided by 156.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*t**2 - 23724882*t + 5211759499203.\nAnswer: 3*(3*t - 1318049)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 116?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 10:07 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 less than or equal to -839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15546516 divided by 1295543\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + (5 + -2 - -7). Let n(l) be the second derivative of 0 + 1\/24*l**4 - 1\/80*l**z - l + 1\/24*l**3 - 1\/4*l**2. Factor n(g).\nAnswer: -(g - 2)*(g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 2*k + 4. Let b be q(5). Suppose -1 = -4*a + b. Calculate the smallest common multiple of 2 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 274080841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z + 3. Let l be ((-6)\/(-3) + 4 + -14)\/(-3 + 1). Let i(s) = -s**3 + s. Determine l*i(v) - k(v).\nAnswer: -4*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(-1 + 0 + sqrt(720))**2 + ((1*2*sqrt(720) + sqrt(720) + 2)*5)**2 + 2.\nAnswer: 3648*sqrt(5) + 160660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 210.1181 and -8123.\nAnswer: -7912.8819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + 9. Calculate the greatest common divisor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -974*w - 1559*w - 1016*w + 135*w - 758*w.\nAnswer: -4172*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.02, 1, 2522 in ascending order.\nAnswer: -0.4, 0.02, 1, 2522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 16 = -4*m + 43, 3*m - 19 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18997987 is divided by 681?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -161641924.59 to the nearest one thousand.\nAnswer: -161642000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51836 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2344 - -2350. Let y(j) = -7*j + 6. Let w be 40\/6 + 1\/3. Let b(g) = 8*g - 7. Determine v*b(s) + w*y(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3985*y - 3490867. What is u(-876)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13923903 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -45. Suppose -2*l + 4*g = -j, -g + 0*g = -4*l + 78. Let c = -3 + l. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -9. Suppose 0 = l*o, 5*o + 1 - 11 = -5*v. Factor 2*y + 25\/4*y**4 + 0 - 9*y**v + 15\/2*y**3.\nAnswer: y*(y + 2)*(5*y - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151716, -303437, -455158, -606879, -758600, -910321?\nAnswer: -1062042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-4)\/(((-420)\/7)\/(-15)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 631\/1165, 16, -0.5 in decreasing order.\nAnswer: 16, 631\/1165, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -383?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (80\/6)\/8*3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 10:09 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2. Let x(i) = 4855*i. Give f(x(a)).\nAnswer: 164997175*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z + 16*z + 1 - 22*z**2 - 6*z to the form f*z + x*z**2 + d and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -69478, -69659, -69914, -70243, -70646, -71123?\n\"Answer: -37*h**2 - 70*h - 69371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, -57, -0.1, 63, -20\/7?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7 - 5 = -2*p, -4*p = -5*b - 50. Suppose 3*w - 5*r - 71 = 0, 69 = 3*w - r - p. Let j = -27 + w. Solve m + 2*m + 9 = j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**5*t + 2*q**4 + 11782*q**3*t - 2*q**2*t - 1406*q wrt q.\nAnswer: -120*q**2*t + 48*q + 70692*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g. Let f(w) = 14711*w + 2585. Let k(s) = 57*s + 10. Let l(b) = 2*f(b) - 517*k(b). What is m(l(c))?\nAnswer: 141*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = 0, -80*r + 34 = -2*n - 76*r. Let j(s) = -39*s**2. Let o(d) = -77*d**2 - d. Give n*j(l) + 2*o(l).\nAnswer: 41*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 14444938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 6*h - 10. Let z be t(8). Suppose -4*y + z = -6. Suppose 10 = 2*b + 3*b. Which is greater: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3 + 3*x**2 - 5*x + 2*x + 2*x. Let f(a) be the first derivative of -3 + 16\/3*a**3 - 5\/2*a**2 + 16*a. Calculate -22*b(w) + 4*f(w).\nAnswer: -2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -45\/5635711?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.62 and 13307.1.\nAnswer: 13315.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -15630845 >= -15630842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -s + 4*l, 3*l = 3*s. Solve 2 = -2*a - s*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -144971 and 2?\nAnswer: -289942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let w be (p\/16)\/((-1)\/(-15)). Suppose 2*r + 12 = -2*y, -2*y + 12 = 3924*r - 3925*r. Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 76700*k + 3721 wrt k?\nAnswer: 76700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9277587?\nAnswer: 3, 11, 31, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1374 - 284 = 396*i - 470 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/5478 and -88\/1245.\nAnswer: 27390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28243 + -28131. Calculate the remainder when 665 is divided by q.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -14. Let l = 9 + s. Let f = -7 + 9. Solve f*q - 5 = -l*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39323?\nAnswer: 39323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 - 13*n**2\/5 + 289*n\/5 - 55.\nAnswer: -(n - 11)*(n - 1)*(n + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12*t**2. Let z(h) be the third derivative of h**4\/24 + 2*h**2 + 26*h. Determine z(r(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142274153 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2. Let u(g) = -21*g**2 - 18*g. Let s(m) = 6*m**2 + 5*m. Let v = 0 - 18. Let o(b) = v*s(b) - 5*u(b). What is k(o(z))?\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by (-22)\/33 - (-40)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -6\/7, 1\/6, -0.2, 1\/4, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3, 19\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5893*q**5 - q**2 + 15649*q + 1.\nAnswer: 353580*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, h: 3, q: 4}. What is prob of picking 1 h and 2 q?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**4\/4 - 20*i**3\/3 - 25*i**2\/2 + 15*i - 516. Calculate a(-19).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 2:43 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*r = -19, -4405*r + 22 = -4400*r - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58296?\nAnswer: 2, 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34343 and 58.\nAnswer: 1991894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpcbbpciibbbbxcc. What is prob of sequence bcp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -18. What is the remainder when 58 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 9 - 18. Let r be (6\/u)\/(2\/(-15)). Suppose 95 = 6*o + 5. Solve 2*w = r*w + o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 50*x**2 - 4*x + 16. Let z be y(6). Suppose -4*i + z = -0*r + 4*r, -2*i = -5*r - 889. List the prime factors of i.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 575, 1153, 1731, 2309, 2887?\n\"Answer: 578*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - n = -130, -24*n + 26*n - 22 = -u. Solve 48*d - 56 = u*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*x - 4*c, 2*x - 70 = -0*x + 3*c. Let z be (9\/4)\/((-1)\/(-8)). Let w be (-16)\/72 - (-292)\/z. What is the highest common divisor of x and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-97)\/679*(-105)\/5. Find q such that -24\/13 + 8\/13*q + 2\/13*q**4 - 12\/13*q**r + 18\/13*q**2 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -193.89695 + 6.91355. Let x = z + 187. Round x to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -718 and 554.842488.\nAnswer: -163.157512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*d - 122*d + 5261 = -1204 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7088966 is divided by 2612.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 194\/3, -4 in ascending order.\nAnswer: -4, -0.04, 194\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/24 + (-117)\/(-52). Let i(m) be the first derivative of 5 + 17*m - q*m**2. Find the first derivative of i(z) wrt z.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*i + i**2 - 3*i**2 + 0*i**2 - 7*i**2 wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (266\/(-28))\/(-19)*((-20 - 5) + 5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -1\/60*p**5 + 0*p - p**2 + 0 - 2\/3*p**3 + 0*p**4. Give f(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 2*h**6\/15 - 21*h**5\/5 - 895*h + 2. What is u in y(u) = 0?\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 3, q: 4, u: 3, e: 2, n: 2}. Give prob of picking 1 m and 1 n.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2940 (base 10) in base 13?\nAnswer: -1452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 36*x**2. Let c(t) = 267*t**2. What is c(y(p))?\nAnswer: 346032*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/36*(-1 + 4). Suppose 23 = a - 5*i, -11 = -5*a + i - g*i. Calculate the least common multiple of a and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqo when three letters picked without replacement from {v: 2, o: 1, f: 2, l: 3, q: 2, n: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + 67. Suppose 0*h = -2*i - h - 85, 3*h - c = 3*i. Let s = 11 - i. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30465 - 30465. Let l = 22 - 25.1. Let f = 3 + l. What is the closest to f in 0.01, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198297106?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*i = -95 + 339, 2*i - 1266 = -5*g. What are the prime factors of g?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27802 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 2*p = 8*v + 4371, -1447 = -v - 4*p. Suppose 0 = -4*x + 433 + v. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stz when three letters picked without replacement from zlslzswtzswsszltwzw?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 2*i**2 - 4*i - 2 + 2*i**2. Let p be (-5)\/2*(-16)\/10. Suppose 2*r - p = -2*d, 0*r = 4*r + 4. Give w(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 - 2*g + 2. Let x be c(-3). Let i(u) = u**3 + 19*u**2 + 2*u + 9. Let w be i(x). Let z = w + 35. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -55.99999964. Round v to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 66 = 5*w. Suppose -5*c + 30 = 4*j + j, -j + 4*c = -w. Suppose j*d = 18*d - 396. Calculate the remainder when 105 is divided by d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let t(g) = -5*g. Let m(u) = -9*l(u) + 2*t(u). Let s(h) be the second derivative of -1\/4*h**4 + 0*h**3 + h + 0 + 0*h**2. Calculate m(s(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - p + 18. What is b(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -21 + 94 - 2*k - 31 - 19 - 27. Suppose -2*z = 3*i + 9, -3*i - 26 = 3*z - i. Calculate p(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2033366 and 18.\nAnswer: 18300294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 12*b - 65. Let y be c(6). Let p be (-1 - -1)\/2 + 91. Suppose -6*r + 203 = -p. What is the highest common divisor of r and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1541318*g**2*n**3 - 53*g**2*n**2 - 2*g*n**3 + 193579*g - 8*n + 10 wrt g.\nAnswer: 3082636*n**3 - 106*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (10 - (-4 - 5 - -15)) - 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**1*k)\/k)\/k)**39\/(((k\/(k\/(k*k**(-4)*k*k)))\/k)\/k)**(8\/13) assuming k is positive.\nAnswer: k**(-483\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1418.\nAnswer: 1\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922*i + 841*i + 644 = -4*p, p - 5*i = -39 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2 (b) 1.8 (c) -2\/9 (d) -1408\/7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*2207535.2.\nAnswer: -28697957.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 + 36*p + 6*p - 50 to the form m*p + f and give m.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 20 = b. Suppose 4*u - b*u = 171. Find the first derivative of -5 - 17 + u*k**4 - 179*k**4 wrt k.\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167295.390482 + -167467.391. Let j = c + 172. Round j to 5 decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13dd0a + -3?\nAnswer: -13dd0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**2 - 11*u - 11. Let j(d) = d**3 - 4*d + 7. Let g be 19\/5 + 130\/25 + -6. Let i be j(g). Let t(z) = 2*z**2 - 3*z - 3. Give i*t(o) - 6*v(o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1))\/(r*(r\/r**(-2\/9))\/r))\/(r*r**(-6)\/r*r**(2\/13)\/r)*r**(-6)*r**(-6)*(r*((r**2\/r)\/r*r*r)\/r*r)**(-2\/59) assuming r is positive.\nAnswer: r**(-30910\/6903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*y - y. Let u = -0.021 - -0.321. Which is the biggest value? (a) -2 (b) y (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -838 times -8?\nAnswer: 6704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*d + 80 - 1263, -4*d - 5*c + 1562 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*p - 63498, p + 3*z + 5853 = 37624. Let u = p - 762107\/24. Calculate the common denominator of 19\/30 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = -s + 22*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -6*q - 31\/30*q**6 + 0*q**2 + 17\/6*q**3 - 1\/4*q**4 + 0*q**5 + 2. What is the third derivative of o(z) wrt z?\nAnswer: -744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 193, -19, 0.5, -2\/19, -0.03, -0.2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760 is divided by 128?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 6*i - 24. Suppose 5*x - 17 = 2*u, 2*x - 1 = -i*u - 2*u. Solve 5*y + 12 = -x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) + (-2817)\/(-5). Suppose x = 13*q - 2401. What are the prime factors of q?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 12:36 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586417 is divided by 1652.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 79*t**3 + 3*t**2 - 32*t - 4. Determine h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*-5*18\/(-135)*24\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -3*q**2 + 0*q**4 + 0*q**6 + 0*q + 0*q**7 - 5\/336*q**8 + 0 + 0*q**3 - 7\/60*q**5. Find the third derivative of t(v) wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -3, -13\/3715?\nAnswer: -13\/3715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -552784 rounded to the nearest ten thousand?\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 - 5670598*k\/5.\nAnswer: -2*k*(k + 2835299)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1847326564, -1847326565, -1847326566?\n\"Answer: -u - 1847326563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + 3*n**4)*(-12 - 5 - 2).\nAnswer: -57*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = -10. Suppose -4*i = -3*s + 17, 6*i + 10 = j*s + 3*i. Find the common denominator of 73\/20 and (19\/(-44))\/(s\/(-22)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 311 + -309. Factor -3*d**4 + 81*d + 4 + z - 44*d - 3*d**2 + 9*d**3 - 46*d.\nAnswer: -3*(d - 2)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40160457?\nAnswer: 3, 353, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -185*f + 312 + 1648 + 1038 + 2922 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12065683?\nAnswer: 7, 1723669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a kilogram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-552)\/1564*26\/(-39)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-78)\/(-117)*6\/(-16)*2*-2176774 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*i + 247*i + i**3 + 253*i - 5*i**3.\nAnswer: -4*i**3 + 602*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 615972 and 12730088.\nAnswer: 38190264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2\/4 + 43341*a\/2 - 96826855\/4 = 0.\nAnswer: -87785, 1103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((127050\/44)\/(-33))\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -36.94. Let a = -1.94 + w. Put a, -0.2, -0.02 in descending order.\nAnswer: -0.02, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3 - 273*l**2 + 6282*l.\nAnswer: 12*l - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*s**4 + 40*s**4 + 14*s**4 + (-3*s**3 + 3*s**3 - s**3)*(3*s + s - 3*s) + 5*s + 5*s**4 - 5*s.\nAnswer: 50*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526312.\nAnswer: 2, 65789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*a + 111 - 138 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101320 rounded to the nearest one thousand?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*y - 12 - 22 - 26. Let o(z) = -z**3 - 2*z**2 - 3*z. Let a be o(-2). Suppose a*c = y*c + 102. What are the prime factors of c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from mammaamammaamaaa?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 13*k + 301. Let l be d(-24). Let m(w) = w**3 + 11*w**2 - 3. What is m(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 56 = 140. Let r be 6\/f + (-140)\/(-441). Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - -1) + 28 + -19 + 4 + -7 + 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-110))\/(-5 - -4)*(-8)\/(-12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + s + 14 = 0, 0*j - 4 = 2*j - 2*s. Let x be ((-21)\/j)\/((-7)\/(-112)). Suppose 3*n = -r + 128, -2*r + x = 2*n - 0*r. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 - 64. Solve -2*z - n + 3*n - p = 0, 4*z = n - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/20)\/(2\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 960*z**6 + z**2 + 272*z.\nAnswer: 115200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdllslsllss. What is prob of sequence sl?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 - 48 = 0. Suppose -3*t + 5 = 5*c - 4*c, -h = -4*c - 4*t. Let j = c + -5. What is j rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (151 - 159 - (-25 - -1 - 2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 117\/5 - 23. Suppose i - 8*i = 7. Are l and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7075*i**4 + 1038810 wrt i.\nAnswer: 28300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*i - 1181062 = -1182948 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 212.6241131197.\nAnswer: 216.6241131197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.48 + -0.79. Let s = r - 25.69. Let i = s + 29. Which is the closest to 1\/2? (a) i (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 342.4 + -430.45. Let y = h + 90. Let z = -0.05 - y. Is z at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from hbhbhbbbbbbbbb?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*y - 49 - 156 = -155 - 1909 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -33121013301323?\nAnswer: -33121013301320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10990002337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2345 + -1.339. Let i = -1.57 - l. Round i to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 21*i**2 - 67*i - 1703. Determine p(10).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7789.5 + 7789. Which is the nearest to 0.3? (a) 2\/11 (b) 2.4 (c) 1\/4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4189457988 to the nearest integer?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 408?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4110 + 4115. What is the fourth smallest value in -8, z, -2\/5, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1004175, -1004167, -1004145, -1004103, -1004035?\nAnswer: -1003935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1339.038 years to decades.\nAnswer: 133.9038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11 - -2) + (2 - 3). Is 12 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -12 + 0 + 6 + -28\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312811957.\nAnswer: 312811957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -331 - -10?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -436, -462, -518, -622, -792, -1046?\nAnswer: -1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 12. Suppose 4*u + 0*s = 2*s - 236, -2*s - 244 = 4*u. Find the common denominator of q\/(-2) - (-123)\/u and 133\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -6247.\nAnswer: -624.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 1. Let s(g) = -10*g + 18. What is -22*i(c) + 2*s(c)?\nAnswer: 2*c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d + 4. Suppose 0 = -p - 2. Let l be p\/((-1)\/3 + 1). Is x(l) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198947 (base 14) to base 8.\nAnswer: 3354123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3419 = -2*v + d - 3439, -4*v = 7*d + 4 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25591, -25385, -25041, -24559, -23939, -23181?\n\"Answer: 69*o**2 - o - 25659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = 2*o, -655 = -z + 5*o. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870852?\nAnswer: 2, 3, 31, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/(29\/232).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*d + 14. Let h(f) = -f + 10. Let u be h(d). Let a(q) = q**3 - 2*q**2 - 3*q - 2. Let p be a(u). Is p smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttqy when four letters picked without replacement from ytyyqstyqttyy.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015125 to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -33*x - 56. Let t be n(-3). Suppose 6*s - 169 = -t. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461457.4t to nanograms.\nAnswer: 461457400000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 1 in descending order.\nAnswer: 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147 - ((-68 - 4) + 162).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 b when four letters picked without replacement from {z: 4, b: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001040258883 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57663023 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/12 + 9\/4. Let c be ((-36)\/15)\/(r\/(-10)). Suppose 0 = l + 3*l - c. Solve -l*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -654\/35 - -128\/7. Let z = 156\/35 + -27\/7. Let v = 139 + -138. Which is the nearest to t? (a) z (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398*c = -206*c + 260*c - 9362728. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + -0.1. Let f = o - 0.8. Let z = 0.2 + 0. Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 9*o - 20. Let m be (11 + -5)*-1*(-1)\/(-2). Let g be u(m). Solve 0 = 6*p - 10*p + g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 7 = 4*s + 15, -21 = -4*w + 5*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 1\/12*k**4 - 1\/3*k**3 + 0 + k + 0*k**2. Find the second derivative of d(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + -13)*(1 + (-58)\/6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 49\/5 of a millimeter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18164, 36453, 54742, 73031, 91320?\n\"Answer: 18289*n - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1\/6 (c) -0.107 (d) -15\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*y + 35804 - 995. What is the smallest common multiple of y and 9?\nAnswer: 2547","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 1544653296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 - 80. What is the third derivative of -r*d**2 + 32*d**6 - 5*d**6 - 30*d**2 + 2*d**6 wrt d?\nAnswer: 3480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4492 + 0.5492. Sort -3, 25, s, -0.29 in descending order.\nAnswer: 25, s, -0.29, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2891 - -2877. Is y greater than -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1189, 1226, 1263, 1300, 1337, 1374?\nAnswer: 1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - d = -2*l + 8, 3*d = -5*l + 16. Suppose -4*m - i + 12 = 20, 2*i = -2*m - 4. Sort m, 0, l in increasing order.\nAnswer: m, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -4 - (2 + 2 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.142 times 194598?\nAnswer: 27632.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 13*u = -4, -5*o - 2 = -u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131*t**5 - 8*t**4 + 2*t**3 + 38*t**2 - 8*t - 1 wrt t.\nAnswer: -7860*t**2 - 192*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -233427\nAnswer: 233432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2927479*o + 2927464*o + 8 - 8.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 574, -11, 0.5, -21\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7877631?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3599408 to the nearest 1000.\nAnswer: -3599000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -83.7 and 13.\nAnswer: -1088.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1039, -1724, -1691, -580, 1969, 6316, 12821, 21844?\n\"Answer: 60*p**3 - p**2 - 1102*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 940.5333nm to micrometers.\nAnswer: 0.9405333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {y: 2, r: 3, h: 1, a: 4, v: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025621202 to six dps.\nAnswer: -0.025621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 6*f**2 - 2*f + 13. Let h be p(6). Suppose 5*q = 4*k - 1, 0 = -55*q + 50*q + k - 4. Sort 0, h, q, -4 in decreasing order.\nAnswer: h, 0, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5046 and -5012 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -393*d**2 + 124 wrt d.\nAnswer: -786*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10819 + 54096\/5. Sort d, 2\/17, -3, 204, -0.5 in descending order.\nAnswer: 204, d, 2\/17, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15650 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 1. Suppose 0 = -d - 2*d + 18. What are the prime factors of i(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61598269699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16716017*g**2 + 8358006*g**2 + 5*g**3 + 8358011*g**2 - 2*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(-1*sqrt(1053))**2 + 1)*1.\nAnswer: -2107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, k: 1, i: 2, c: 2, n: 1, l: 1}. Give prob of picking 1 r and 1 i.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.06484 to three dps.\nAnswer: 1.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -386\/15 - -1111\/30. Let i be ((-6)\/8)\/((-6)\/(-8782)). Let b = i - -1078. Find the common denominator of a and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261445.\nAnswer: 5, 52289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/2 + 115*t**3\/2 - 717*t**2\/2 + 1089*t\/2.\nAnswer: t*(t - 3)**2*(t + 121)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i\/((i\/((i**(-2)\/i)\/i)*i*i)\/i)))\/i*i))\/i**(-7\/4)*i**4*i*i*i*i**(-2\/7) assuming i is positive.\nAnswer: i**(97\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 + 28*f**2 + 4*f. Let u(k) = k**2 + 2*k - 1. Give 2*u(o) - x(o).\nAnswer: -2*o**3 - 26*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 25 = p - 5*a, -5*a = 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 17183760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121374 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 17 = -44. Suppose -15 = -c - 3*w, -5*w - 2 = 2*c - 35. Let h be (c\/(-80))\/(v\/4). Sort h, 1, 2\/13 in descending order.\nAnswer: 1, 2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y - 8 = -2*r, 0 = 5*r - 4*y - 20. Solve d = -d + b, 2*b - 16 = -r*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + t**2 + 1. Suppose -5*k + 2*u = 2, 5*k - 3 = -0*k - 3*u. Let o be f(k). What is the second smallest value in o, -1\/9, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411816 is divided by 205903?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - ((-15 - -5) + 6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 985219\/19 less than 51855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71741, 71756, 71773, 71792, 71813, 71836, 71861?\nAnswer: 71888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 910, 1814, 2716, 3616?\nAnswer: 4514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 76*d**2 + 152*d + 18. Calculate the remainder when 252 is divided by g(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -20, -1, 6, -92, 11, 4.\nAnswer: -92, -20, -4, -1, 4, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + 0*l**2 + 0*l**2 + (6 + 2*l - 6)*(0*l**2 + 9*l**2 - 2*l**2) + l**3 - 4*l + 4*l + 0*l**3 - 2*l**3 + 5*l**3.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*h + 9 = 0, u + 4*h = 2 + 1. Suppose -f - u = -11. Suppose -r + 5 = g + 2*r, 0 = 3*g + 2*r - f. What is the least common multiple of g and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*h**5 + 2481*h**3*r - h**2*r - 21390*h*r + 2*h - 24 wrt h?\nAnswer: -520*h**3 + 14886*h*r - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 - (-27)\/6. Suppose w*j - 8*j = -36. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 70*d + 371. Determine x(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -13.55. Let y = a - 0.05. Let q = 0.09 - -0.01. Sort q, 2\/5, y in decreasing order.\nAnswer: 2\/5, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 104962.24.\nAnswer: 41984.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -331247 greater than or equal to -331217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 288?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.09125 to one dp.\nAnswer: 32.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 a when three letters picked without replacement from {e: 1, d: 1, a: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14158.\nAnswer: 2, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 2*i**2 - 3*i + 30. What is r(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from asrbjsorsjbabjab?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 6*w**2 + w + 10. Calculate g(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65\/44 + -8\/11. Let h be ((-6)\/4 + 1)*-6. Let s be (1 - (-6)\/(-4))\/((-78)\/(-52)). Which is the closest to s? (a) w (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u**2 - 2*u**2 - 5*u**2 - 1 + 7*u**2 + 2*u. Let a be w(1). Let c = a + 7. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 a factor of 92980725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**2 - 2. Let n be (-2)\/(-12) + 88\/48. Let p = -6 - -8. Let m(v) = -6 + 8*v**p + n*v**2 + 6*v**2. Calculate 10*c(x) - 3*m(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12221200 + 112102020?\nAnswer: 22110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 5 + 4)*(8 + 11 - 29)*(0*a + 0*a + a) + 6 - 4*a - 6 in the form i*a + h and give i.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/845025 and 43\/444750.\nAnswer: 8450250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-42) + 27\/(-336).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-11 + 2 + -4. Let z = g + 34. Solve -6*w - z = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1275) + sqrt(51)))\/(sqrt(36)\/(sqrt(12)*-1)).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + 4*x**3 + 2*x**3)*(224*x**2 + 229*x**2 - 452*x**2).\nAnswer: 2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 2*w + 7. List the prime factors of t(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57794 and 4?\nAnswer: 115588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -14*j**3 + 8*j**2 + 4. Let l(g) = g**3 + g**2 + 1. Let y(i) = 4*l(i) - x(i). Find the third derivative of y(o) wrt o.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 10:20 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, k: 9, e: 1}. Give prob of sequence we.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 156 - 129. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178*t**3 - 24*t?\nAnswer: 1068*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 + 2*l + 1. Suppose -5*i = 12 - 7. Let u be b(i). Suppose u*j = 2*j + 1010. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Suppose -w = 2*i - 3, -h*i + 9 = -3*w - 0*i. Calculate the remainder when 7 is divided by (-2 + w - 0)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1707 - 1696. What is the remainder when 230 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2)*(-7)\/21.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*b - 13 - 18. Let w(l) = -6*l**3 + 4. Let o(z) = -z**3 - z**2 + 1. Suppose q - k + 8 = 0, 4*q + q - 4*k + 36 = 0. Determine b*w(r) + q*o(r).\nAnswer: -2*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2) + (1 - -7). Let a = 16 - 10. Suppose -2*f - 2 = -2*h, -4*h + f = -2*f - a. Solve -h = 4*t - u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169920?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 6*k + 3. Let x be q(-6). Let h be 24\/(-42)*(-14)\/12 + 416\/96. Put h, 4, x in descending order.\nAnswer: h, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.628428mm?\nAnswer: 5628428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21320 - 4*v - v**2 - 21323 + 4*v**2 - 3*v**3 to k + l*v**3 + o*v**2 + p*v and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1090439 + -11666606882\/10699. Let r = o + 47396801\/117689. Let b = r + -403. What is the common denominator of b and 45?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2. Let a(u) = 9*u - 20*u + 18*u. Give c(a(k)).\nAnswer: 49*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 + 0*g**2 - 4*g**2 + 9*g**2. Let j(y) = 2*y + 2*y - 5*y + 0*y. Calculate p(j(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5 + -2 - 5) + 34 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1310 + -11122?\nAnswer: -13032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 16129145*v + 32258310.\nAnswer: -5*(v - 2)*(v + 3225831)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50\/9 - -2\/45. What is the common denominator of 63\/20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let m be ((-36)\/3)\/3 - 66\/(-6). What is the greatest common factor of j and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7305 = 1571. Let v be 3\/(-3)*1 - s. Let h = v + 53237\/12. What is the common denominator of h and 125\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13195173 is divided by 209447?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20667071627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2012200 (base 4) to base 3\nAnswer: -102210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139079015 is divided by 657?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35607728, -35607731, -35607736, -35607743, -35607752?\n\"Answer: -z**2 - 35607727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 12:00 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 12608.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k - 3*k + 4*k)*(1 - 9 + 1) + 4*k + k - 2*k + 415 - 415 + 97*k as t + g*k and give g.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5535*i - 5535*i - 25*i**2 - 5 in the form o*i**2 + n + z*i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 56*n - 2*n**3 + 5\/6*n**4 + 1\/10*n**5 + 0*n**2 - 1. Factor b(f).\nAnswer: 2*f*(f - 1)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, x: 4, m: 9}. What is prob of picking 4 x?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.8 - 12.2. Which is the second biggest value? (a) -4 (b) n (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0 - 12 - 4*s + 11 + 9 + s**2. Let m be f(3). Solve 2*g = 3*l - m*l, 15 = -2*g + 3*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = -17*d + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.09562 and 348138.\nAnswer: 348138.09562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + -10 + -61 + 57.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1636*m**3 + 121309*m**2 + 2172836*m - 630761. Let l(w) = 544*w**3 + 40436*w**2 + 724279*w - 210254. Let s(u) = -4*a(u) + 11*l(u). Factor s(j).\nAnswer: -5*(4*j + 145)**2*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17896?\nAnswer: 2, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 40775\nAnswer: -122325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465973 is divided by 86?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggyynygygygggggyyyy. What is prob of picking 1 n and 2 y?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 8*o**2 + 56*o - 11. What is b(-12)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4037, -4, -20, -5, 5.\nAnswer: -4037, -20, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*d + 133, 4 = -3*d - 11. Let b be ((-100)\/(-12))\/(2\/60). Let k = p + b. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 24 = 1. Suppose -4*f + 93 - j = 0. Let b(p) = -10*p - 35. Calculate the remainder when b(-12) is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79462 - -79828.89. Let z = 362 - n. Let p = z - 0.11. Which is the biggest value? (a) -1\/2 (b) 2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/5, -1\/7, -3, 1445, -1\/5, -0.16, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319542928?\nAnswer: 2, 19971433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + 0.6. Let j = -7.8 + 10.8. What is the nearest to i in j, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*t - 1081*t**2 + 26 + 62*t - 19*t - 21*t - 1071*t**2 wrt t.\nAnswer: -4304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -427.84 + 1.84. Let m = g - -380.4. Round m to zero decimal places.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(343) + -2 + 0 + sqrt(343)).\nAnswer: -4 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801470 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -52.0007. What is p rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**3 - 5*f**2 + 6*f + 8. Let s(v) = v**3 + v**2 - v - 1. What is 6*s(a) + u(a)?\nAnswer: -a**3 + a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*z = z - 2, -2*z = 4. Let t(w) = w**3 - 31*w**2 + 28*w + 64. What is the remainder when l is divided by t(30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17477 + -986.\nAnswer: -985.82523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, x: 2}. Give prob of sequence kx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316675983.\nAnswer: 3, 13, 17, 19, 23, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 7. Let s be c(-3). Suppose -s*h + 2*f = -910, h - 445 = -0*h - f. Round h to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 50*d**3 + 4*d**2 + d + 9. Let t(y) = -y**3 + 10*y**2 - 12*y + 31. Let l be t(9). Is c(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruru when four letters picked without replacement from {r: 3, u: 4, h: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1442 and 215?\nAnswer: 310030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(5\/6)\/(((t*(t*t*t**4\/t*t)\/t)\/t*t)\/(t*(t\/t**(-2\/7))\/t*t))*(t**(-1\/2)*((t\/(t*t**(-8)\/t*t))\/t)\/t)**8 assuming t is positive.\nAnswer: t**(282\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 817361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-487)\/(-138) + 0 - 13545\/1032*(-24)\/(-90)\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 13\/4, -3, 18\/11, -5, 3?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 460, -126, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 3, s: 2, t: 2, h: 4}. What is prob of sequence st?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**2*o**3 - 2*h**2*o*y + 15*h**2*y + 27*h*o**4 - 2*h*o**2 + o**3*y wrt o.\nAnswer: -18*h**2 + 648*h*o + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*d**2 - 22*d**2 - 14*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5613?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.5 - 6.5. Which is the fourth biggest value? (a) -4 (b) v (c) 1\/2 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 25. Suppose 0 = 10*z - 22*z + 120. Calculate the least common multiple of j and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, s: 6}. What is prob of picking 4 s?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247539851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**2 - 7*d + 7. Let t(f) = f - 1. Calculate k(u) + 6*t(u).\nAnswer: 6*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**2 + 7*f - 2. Let v(c) = 4*c - 15. What is -13*j(i) - 6*v(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.058 + 0.03. Let r = -0.128 - o. Which is the nearest to -0.3? (a) 5 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*d - 133, -3*t + 5 = 2*t. Let q = d - -74. What is the greatest common factor of q and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 691920 and 7200.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*d + 96*d + 98*d + (0 - 1 + 3)*(-d + d - d) + 5*d - d - 3*d + 2*d + 0*d - 3*d to r*d + m and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i + 322. Let h(o) = o - 42. Let y(m) = 46*h(m) + 6*n(m). Let l(v) = 5*v**2 + 92*v. Give l(y(j)).\nAnswer: 80*j**2 + 368*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 + 25 + 39 = -i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106957573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/3 in 129\/2, 0.1, 14\/9, -0.1377?\nAnswer: -0.1377","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -89*t**3 - 9*t**2 - 9*t. Let p(m) = -22*m**3 - 2*m**2 - 2*m. Suppose -495 = 42*s - 97*s. Determine s*p(j) - 2*f(j).\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.037*0.5\nAnswer: -0.0185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-14)*(6\/(-9))\/1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5 = 2*s - 3, 4*r = 4*s - 12. Let l be s*2 - 9\/18. Let q be (7 - 1)*2\/(-8). Which is the nearest to -1? (a) l (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, n: 1, q: 3, o: 1, j: 4, p: 3}. What is prob of sequence po?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) + -2*(3*sqrt(204) + sqrt(204) - sqrt(204)) - sqrt(204)))\/sqrt(12).\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94.60000786 - -94.6. Round b to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-2)\/4*2). Is -1*55\/(p + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojw when three letters picked without replacement from vjyokwvk?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/112*(-385)\/(-20).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y - 9*y**3 - y**2 - 2*y**2 - 5*y**2. Suppose c - 4*p + 14 = 0, -3*c + 0*c + 43 = 5*p. Let k(l) = -8*l**3 - 7*l**2 + 7*l. Calculate c*h(m) - 7*k(m).\nAnswer: 2*m**3 + m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3469 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*f*s**2*v**3 + 40*f*s*v**3 + 4*f*s*v**2 + 16*f*v**3 + 29625*s**5*v**3 - 9*v**2 wrt s.\nAnswer: -106*f*v**3 + 592500*s**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4866657 is divided by 27188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 100808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 3 + 5 - 5)*(0 + 2 + 3).\nAnswer: 5*y + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9667.9374 + -9480.92. Let q = 312 + -125. Let b = q - i. Round b to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.3 + 3.7. Let h = z + -19.000003. What is h rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45619 + -1?\nAnswer: 45618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 - 335\/(-20). Suppose 3*h = 7*h + 5*r - l, 5*h - 2*r - 13 = 0. Suppose 0 = -h*o + 2*n + 48, 3*o - 4*n = n + 48. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -105, -182, -295, -450, -653, -910, -1227?\nAnswer: -1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60.5 or 27.1?\nAnswer: -60.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6 + 2) + -13. Let q = s - -15. Solve -q*v = -4 - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93.468 * 3\nAnswer: 280.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/4616670 and 95\/26.\nAnswer: 60016710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2846.11 micrometers in kilometers?\nAnswer: 0.00000284611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1896 - 1749. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7858356 and 10434?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 - 324?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 35557 - 21944. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919 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 0.044 times -2?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369461487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92688174 to the nearest integer?\nAnswer: 9627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 2*u**3 - 3*u + u**3 + u**3 - 4*u**3 + (4*u**2 - u**2 - 2*u**2)*(-5*u + 3*u + u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**4\/12 - 5*b**3\/3 + 21*b**2\/2 - 6*b. Let d be x(-10). Suppose 6*s - 99 = d. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128\/5*y**2 + 0 + 168*y - 2\/5*y**3.\nAnswer: -2*y*(y - 6)*(y + 70)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4bb - -5?\nAnswer: 4c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 248*k - 274*k + 338 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from xxqxv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7813023?\nAnswer: 3, 31, 84011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 - 7 + 1 - 3 - 1 to o + u*s**3 + i*s + t*s**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 298354560 to the power of 1\/2, to the nearest integer?\nAnswer: 17273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001010111100001 - 10?\nAnswer: 101001010111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + 7*p**2 + 5*p - 8. Let c(y) = -y**3 - y. Let d(n) = 3*c(n) + h(n). What is the units digit of d(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -11. Let y(d) = -119*d**3 - 3*d**2 - 2*d + 5. Let r be y(w). Is (-1 + 2)\/((-11)\/r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p = -46*p + 10. Suppose -12*t**3 + 6*t - 3\/2 + 6*t**5 - 3\/2*t**4 + 3*t**p = 0. Calculate t.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h - 11. Let v be u(5). Suppose 0 = -0*o + o. Differentiate 2*y**4 + o*y**v - 1 + 3 with respect to y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77424370?\nAnswer: 2, 5, 7742437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.434 to the nearest integer.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4420058*f**4*w**3 + f**2*w**3 + 4*f**2*w**2 + 70*f**2*w - 23*w**3 + 4 wrt f?\nAnswer: 106081392*f*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 4, -4, -1435, -2, 2 in decreasing order.\nAnswer: 5, 4, 2, -2, -4, -6, -1435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7151 - -214?\nAnswer: -6c3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 415*z**2 - 11*z + 5. Let p(u) = -83*u**2 + 2*u - 1. Calculate -2*g(w) - 11*p(w).\nAnswer: 83*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100711095 and 558.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 12. Let p(d) = -d**3 - 15*d**2 - 16*d - 12. Let k be p(-14). Let o = k - 12. Solve -o*y + 3*y + n = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163626 by 3.\nAnswer: -54542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14, -27, -40, -53, -66, -79?\n\"Answer: -13*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 at most -80074\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + -2 + 5)*57\/(-2). Which is smaller: s or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85747 - 60295. What is the thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-6)\/(-1 - -4). Sort q, -1, 1 in decreasing order.\nAnswer: q, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12 - 14*f**3 - 386*f**2 + 35 + 385*f**2. Let s(v) = 27*v**3 + 2*v**2 - 94. Let r(w) = -11*h(w) - 6*s(w). Find the first derivative of r(p) wrt p.\nAnswer: -24*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182 - 114. Find the third derivative of 74*u**5 + 254 - y*u**2 - 254 wrt u.\nAnswer: 4440*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -0.5, 48\/5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469049549.\nAnswer: 469049549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 161318 less than 77?\nAnswer: -161241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/(-112)*(25\/15)\/(20\/56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 21800688.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100101 (base 2) in base 8?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -5*g**2\/2 - 3*g + 1. Calculate the remainder when 31 - (-15 - -12) - 7 is divided by y(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-4 - -4 - 2). Suppose i = 2*y - 0*m - 4*m - 58, 3*y = -3*m + 60. Is (-51)\/(-17) + 0 + y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/85354 + -1664149\/21679916. Calculate the common denominator of h and -19\/28.\nAnswer: 3556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 38117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -20 + -11 + (-10 - -29).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 28 = 7. Let s(m) = -5*m + m - l*m. Let r(g) = -2 + 2 + g. What is r(s(w))?\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2783, 9473, 20629, 36251, 56339, 80893, 109913?\n\"Answer: 2233*k**2 - 9*k + 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 458921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61597 - 24192. Suppose -42*i + 37*i + s = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 44 - 11. Suppose 5*i = l - 21, -5*l - 26 = 5*i - h. Calculate the remainder when 45 is divided by ((3 - -10) + 3)*(2 - l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 16. Let r(o) = o**2 - 12*o + 6. Let p be r(11). Let m be y(p). List the prime factors of 26\/143 - 64\/m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, l: 2, m: 1, c: 1}. Give prob of picking 1 m, 1 l, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q + 2. Suppose 0 = 3*i - 10*i. Suppose -v + i + 4 = 0. What is x(v)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 4*z**2 + 5*z - 3. Let k be i(3). Suppose -o + 2437 = p, 0 = k*o - 3*p + 167 - 7478. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 7*q**2 - 5*q + 1. Calculate b(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 286*r**4 + 656*r**3 - 72388*r**2 + 3*r.\nAnswer: 6864*r + 3936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6162065.7 to the nearest 10000.\nAnswer: -6160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 874 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: Put 0, 5, -2, -22.773 in descending order.\nAnswer: 5, 0, -2, -22.773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 202000110 (base 3) in base 8?\nAnswer: 34400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79315, 158764, 238239, 317746, 397291, 476880, 556519?\nAnswer: 636214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459849927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, 1\/7, 9446\/5, -3\/2 in descending order.\nAnswer: 9446\/5, 1\/7, -1\/12, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13.5726587242+-2\nAnswer: 11.5726587242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 74646097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 115 and 249 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 5*x - 4*x)*(-2 + 0 + 1)*(3 + 24 + 1).\nAnswer: 280*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 1 = -103. Suppose u - 2*m = s, -8*u + 4*m + 55 = -3*u. Solve -u*o + 20 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67051 by -19.\nAnswer: 3529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 21.89. Let w = u - -3.89. Let r = -2.2 - -1.2. Put 0.3, w, r in decreasing order.\nAnswer: w, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/525 + 1077\/63?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-306*c + 101*c**2 + 306*c)*(-3 - c + c**2 - 3*c + 5*c).\nAnswer: 101*c**4 + 101*c**3 - 303*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 divided by 5?\nAnswer: -73\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8800\/2420 + 20\/55\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.6925 seconds in days?\nAnswer: 0.00152421875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101012001102 - -10?\nAnswer: -101012001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -52. Suppose 6 = s + 11. Which is the closest to -0.1? (a) y (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155 divided by 31.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 15. Let w be (-4)\/28 + x\/(-7). Which is smaller: 1\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 65, 64, 63, 62?\n\"Answer: -x + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**3\/3 + 9*x**2\/2 + 3*x - 1. Let u be h(7). Suppose 4*j - 2*s = 3*s + 65, -u = -j + 2*s. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*b - 82, 2*v = 11*v - 3*b - 156. What is the highest common factor of v and 768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4790\/120 + 3\/36\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2818 - 5416 = -254*o - 2392 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1615 = -2*m. Let a = 63 - m. Suppose -722 = -2*l + a. What is l rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19 (b) -17 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 1. Let z = s - -3. What is the second smallest value in z, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2.2. Suppose 0 = 10*g - 79 + 49. Which is the closest to g? (a) 3 (b) f (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2 - 4 + 3 + 3 + (0 - 3 + 2)*(1 + 3 - 2))*((1 + 1 - 3)*(6 - 1 - 4) + 5 - 3 + 1 - 1 + 4 - 4)*(z**2 + 3*z**2 - 19*z**2).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o + 4781*o**3 - 4734*o**3 - 5*o - 11*o.\nAnswer: 47*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**3 - 3*v**2. Let r(d) = -5*d**3 - 2*d**2. What is 3*r(t) - 2*y(t)?\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27, 123, 283, 507, 795, 1147, 1563?\n\"Answer: 32*d**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 774.000000726 - 774. Round c to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*n - 73*n + 1595. Let y = 583 - n. Is y a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -569 divided by 108.\nAnswer: -569\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -16246?\nAnswer: 16241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -22*p + 3. Let x(s) = 21*s - 2. What is 2*k(u) + 3*x(u)?\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 6*l**2 - 5*l. Let f be w(-5). Let m(d) = 4*d**2 - 3*d. Let o be (2\/6)\/(7\/(-21)). Let c be m(o). Sort 1, c, f.\nAnswer: f, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -96*p - 5514. Let s be w(-65). Solve 4*y + s = 742 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1908475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = 3*b, q + 4*b = -7 + 3. Let o = -12 - -12. Suppose o = 4*a - 12 - q. Solve 0 = -a*r - 15, -21 + 1 = 3*s + r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7124618 + -1?\nAnswer: -7124619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1045, 4285, 9775, 17515, 27505, 39745, 54235?\n\"Answer: 1125*x**2 - 135*x + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-14) + 12\/(-126). Factor w*k**2 + 0 + 1\/3*k.\nAnswer: k*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 2:15 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298737 is divided by 149368.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1173.9 + -1173.8. Sort -10\/97, k, -5 in increasing order.\nAnswer: -5, -10\/97, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.25*0.0867\nAnswer: 0.021675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*h + 1187, -4*h - 4*p + 1556 = -8*p. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6133131 is divided by 1278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6452*m - 433159 = 190*m + 470845 - 83682 for m.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9751491*y**2 - 9751482*y**2 + y - 3*y + 3*y.\nAnswer: 9*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/45))**(8\/13)\/(s**(-1\/2)*s\/((s\/(s*s\/((s\/s**9)\/s)))\/s)))**(-39) assuming s is positive.\nAnswer: s**(13487\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 21\/10, -0.05, 1\/2, 1\/3, -3?\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2. Let k(o) = 34957526*o**2. Give q(k(n)).\nAnswer: 1222028624040676*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.079159 centuries?\nAnswer: 7.9159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 265380 (base 10) to base 13\nAnswer: 93a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -996\nAnswer: -199.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -7*y**3\/3 + 12*y**2 - 48*y + 8. Let g(v) = 6*v**2 - 24*v + 48. Let j(k) = -3*a(k) - 4*g(k). Factor j(n).\nAnswer: -3*(n - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20, 81, 180, 317?\n\"Answer: 19*a**2 + 4*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2512\/(-1884))\/((-20)\/(-585))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnn when three letters picked without replacement from nnnnbnbnnnnnn.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/4 - 0)\/((-6)\/(-16)). Let k be 5102\/45 - (n - 392\/63). Let u = -114 + k. Which is the closest to 0.1? (a) -5 (b) u (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344563, 344559, 344555?\nAnswer: 344551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 l, and 1 o when four letters picked without replacement from mmjojlljoxjxo.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - 2*(sqrt(832) - (sqrt(832) - ((sqrt(832) - (sqrt(832) - sqrt(832)*1 - sqrt(832))) + sqrt(832)))))**2.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmzz when four letters picked without replacement from zzmzmzmmzmzz.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/11 - 818*k**2\/11.\nAnswer: 2*k**2*(k - 409)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l**3 - 1 + 3 - 2.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -13 - (51 + -33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 172448448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13137666 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from rgfgivvffvrffrirtfv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/4)\/3*(-6)\/14.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3\/13 (b) 0.02 (c) -2\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l - 1. Let x(q) = 6*q**2 - 21*q + 19. Let c(j) = -d(j) + x(j). Let w(v) = -v + 1. Give c(s) - 20*w(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**3 + 6*r**2 + 6*r - 5. Let d(n) = -n**3 - n**2 - n + 1. Determine 6*d(z) + l(z).\nAnswer: -z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 55 = -8*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*y = 0, -78*n = -72*n - y + 7*y - 60 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 18*o + 13. Let n be g(17). Let h(y) = -5*y - 19. Let q be h(n). Solve 2 = u + q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 478. List the prime factors of o.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 882911*a**3 - 21*a**2 + 11124 wrt a?\nAnswer: 5297466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12 + -19)\/(-21))\/((-2)\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4\/5 - 16*m**2\/5.\nAnswer: 4*m**2*(m - 2)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5466 divided by 1.\nAnswer: -5466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + -1.01. What is the nearest to 1 in f, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 220*a**6 - a**5 - 240*a**4 - 103*a**2 + 174*a - 6?\nAnswer: 26400*a**3 - 60*a**2 - 5760*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 7*b**2 + b + 8. List the prime factors of q(4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94312235\/3174 - -29714. Let l = b + -38884\/7935. Calculate the common denominator of l and 29\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2017 by 1.\nAnswer: -2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125 and 37650?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 405 + 134*d - 74*d - 68*d. Determine s(51).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**2 + 5*d**4 - 16*d**4 + 0*d**2 - 4*d**2 wrt d.\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 3 + 1)*(-5 + 22*c**2 + 5)*(c**2 + 0*c**2 - 4*c**2).\nAnswer: -594*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 15*z - 242. Let i = z + 116. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 47*l**2. Let t(b) = -5*b. Determine d(t(c)).\nAnswer: 1175*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*c + 4 = 0, 7 = 4*y + 3*c - 4. Calculate the smallest common multiple of 1 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/100 + 2*(-17)\/(-10). Sort 15, t, -0.1, 0.2.\nAnswer: -0.1, 0.2, t, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1363 or -1?\nAnswer: -2\/1363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -1 - (33\/(-12))\/((-497)\/(-2485))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 100123231?\nAnswer: -100123310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + -2*sqrt(704) + 2) + -1)**2.\nAnswer: 192*sqrt(11) + 25348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0 (c) -30 (d) 12623\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/(-12))\/((-4)\/6). Let q(r) = -1178*r**2 - 10 + k + 1 + 2*r. Let c be q(3). Round c to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 6*z**3 + 0*z**3)*(3*z - 3 + 3) + (z**2 + 2*z**2 - 4*z**2)*(-3 + 3 + 4*z**2).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 21. Calculate n(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -919284 divided by 4?\nAnswer: -229821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11209626*x + 22419250*x - 11209634*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1175, -10, -2 in descending order.\nAnswer: -2, -10, -1175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4f6bd6 (base 16) to base 10.\nAnswer: -5204950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e7 - -1a?\nAnswer: -1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6122 + 14220. Let n = 843 + a. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpps when four letters picked without replacement from hyzyyzpzphys.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -74*v**3 - 7. Let l(q) = -154*q**3 - 7*q**2 - 7*q - 22. Let a(s) = -51*s**3 - 2*s**2 - 2*s - 7. Let o(u) = -7*a(u) + 2*l(u). What is 5*k(h) + 7*o(h)?\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let b(r) = -9796*r. Give m(b(f)).\nAnswer: 19592*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-8)*-4)\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 10. Let y = j - 24. Solve -11 - 3 = y*m + 2*a, m - 2*a = -6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 121 = -163. Calculate the remainder when g is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-14) - 3\/2. What is the units digit of 55\/(-20)*(h + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*v = -16988, 3*v + 4182 = t - 1477. What are the prime factors of t?\nAnswer: 2, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 2:41 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101012 + 323302?\nAnswer: 1030320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14525 + 27488. Suppose 72*g = 69*g + d. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*h**(1\/4))\/(h**(-3\/14)\/h**(-7)) assuming h is positive.\nAnswer: h**(-351\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 456 + 2*c + 230 - 2*c**2 + 222 + 459 - 1056 as r*c**2 + p + z*c and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4448 - -4439)\/(2\/(-6)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 553931 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 + 1 = 0, i - 2*o - 10 = 0. Let c be (-1)\/(-3) - (-16)\/i. Let n be (-16)\/(-6)*(c - 0). Solve 0*m = 2*m + n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 36\/3 + (-2805)\/(-51)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) 0.0382 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 1.6, 6, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s = -19 - 44. What is the second derivative of 17*z + 27*z - 3*z**2 - 15*z**3 - 21*z**s + 57*z**3 - 10*z**3 wrt z?\nAnswer: 66*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11 - 368*u + 363*u + 6*u**2 - u**2. Let i be t(-10). Let f = -318 + i. Calculate the greatest common factor of f and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -197064*d**3 - 151*d**2 - 44*d - 1?\nAnswer: -1182384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 9 = w, -3*j - 2*j - 20 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - h**2 + 2 - h)*(8 + 0 - 3)*(3 + 6 + 2) as x + j*h**2 + k*h and give j.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, t: 3, g: 10, w: 2}. What is prob of picking 1 t, 1 a, and 1 g?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2644.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 2*t + 8, 4*h + t + 3 = 2. Let w = -25449 + 127737\/5. Let c = w - 98. Is h < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -454985 and 0.0943?\nAnswer: -42905.0855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 1:27 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -1, 1, -30, -1012 in descending order.\nAnswer: 2, 1, -1, -2, -30, -1012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 1:45 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 6*z**2 + z**2 + (2*z - 2 + 2)*(z - z - 2*z) + 2*z - 13*z**2 - 15*z**2 + 32*z**2.\nAnswer: -3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 29, 32, 33, 32, 29?\n\"Answer: -m**2 + 8*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4 + 36027*l**3 + 108896832*l**2 + 4404415488*l = 0. Calculate l.\nAnswer: -5984, -41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(-12)*51*-4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 - 5 = 0. Suppose s = w + 5. Suppose 2*y + 0 = 22. What is the least common multiple of y and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 - -31. Let y = d + 60. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 23 - u + 19 - 29. Let n be t(-6). Let y(q) = -q + 22. Let z be y(n). Solve -k = -z*v + 5, -3*v + 3*k = -1 + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 55*z - 6 + 3 - 11*z.\nAnswer: -66*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from ozoooozoooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 541*f**5\/5 + 1096*f**3 + f**2 - 2928. What is the third derivative of b(u) wrt u?\nAnswer: 12984*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*26\/4 + 0. Let a = p + -6. Solve -2*r - 4*v = -a*r + 36, 5*r + 5*v = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 g when four letters picked without replacement from {g: 5, e: 8}?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 781.2 - 718. Round y to zero decimal places.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -645 + 210 + 219 + 216 - 15520*o**2.\nAnswer: -15520*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 0)\/((-14256)\/(-62370))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36213 - -72145. Calculate the greatest common divisor of 52 and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 5:08 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/9)\/(0 + (-2)\/(-24)). Let j = z - 14. Let c = 3 - 1. Solve c*w - j = 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21631146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*d - 5*k - 35 = -234*d, -k = 3*d - 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9072 + -1885. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77983\/29 + 2689. Sort 0, -4, 0.32, u.\nAnswer: -4, u, 0, 0.32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 253714.95.\nAnswer: 50742.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81 + 81 - 7*u - 5*u + u + 2*u + 1 - 1 + 2*u + (-u + 2*u - 2*u)*(3 - 1 - 4) + 2*u - 2 + 2 - 2*u - u + 4*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -303 and -1825\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/((416\/24)\/13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**2 + a - 7. Let u be f(-9). Let l = 434 + u. Which is smaller: l or 18?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-5 + 9\/1). Is 77\/35*587 - r\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + -5 + 1 - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50135723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r**3. Let u be (-46)\/4 + -5*4\/40. Let z(t) = 40*t**3. What is u*s(h) + 5*z(h)?\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 113*a**2 + 119*a - 779. Give l(112).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1270145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 278744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/15)*w*w*(w*w**(2\/9))\/w*(w\/(w*w*w\/(w\/((w**(2\/7)\/w)\/w*w))*w)*w)**(-7\/5))**(-42) assuming w is positive.\nAnswer: w**(-1736\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -20694456688126\nAnswer: -20694456688125.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 6*w**2 + 15*w - 2. Give v(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -534\/25? (a) 0 (b) 0.2 (c) 4 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 24911.\nAnswer: -4\/24911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -1\/3*c**3 - 3 + 1\/24*c**4 + 0*c + c**2. Calculate t(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 + 202\/(-22) + -6 + 4. Which is the nearest to 2? (a) -6 (b) -11 (c) -2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5 = 19. Let c = k + -3. Suppose 2*m = 5*d - 0*d + 171, -c*d = 4*m - 272. What are the prime factors of m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1572 by 3.\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2750 - -2921. Calculate the highest common factor of 323 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12924 equal to 0.107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w + 28*w = 0. List the prime factors of -49*338\/(-13) + (w - -4).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 less than 5336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4*d + 2*l = 1251, l + 1260 = 3*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 10\/(4 - (2 - -1))?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.42 + -24.42. Let l = 23 + f. What is the closest to l in 4, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224.6 minus 2441815824?\nAnswer: -2441816048.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 694 and 3.\nAnswer: 2082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 w when four letters picked without replacement from {x: 17, w: 3}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1 (c) -3 (d) -2 (e) 21\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - 1 + 1 + (s**2 - s**2 + 2*s**2)*(5*s - 6*s + 0*s) + (47*s - 47*s - 31*s**2)*(-s + 3 - 3).\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 987 + -967.16. What is x rounded to zero decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 67 in 8, 1, 1\/3, -2\/9, 2\/7, -2\/37?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 18*h = -868. Is h a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -735. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**8\/560 - 4*j**7\/525 + j**6\/150 + j**5\/50 - 7*j**4\/120 + j**3\/15 + 5*j**2. Let k(w) = 0. Calculate w.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82705.66 years in centuries?\nAnswer: 827.0566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Let v = -21 + 21.4. Which is the biggest value? (a) v (b) -8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 150*s - 3033 + 33 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1022602.28265 and -0.4.\nAnswer: 1022601.88265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00105388 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -202*f + 1611. Determine x(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {n: 1, h: 1, g: 1, c: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (3 - 4))\/1. Suppose -5*s + v - 94 = -604, 4*v = g. Round s to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.02 + -294.\nAnswer: -309.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - (4 - 46)) + (-6)\/1 - 32.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 10:53 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 28046*a + 1149778. Give x(-41).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o + 101. Let h be z(11). Suppose 7*m - 5 = v + 5*m, -14 = h*v - 5*m. Solve l - 21 = -v*q - 4, -5*l + 5 = -q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**3 - 46*j**2 - 147*j + 48. Let i be d(-8). Solve -35*x = 47*x - i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**6\/165 - p**4\/22 - 2*p**3\/33 + 20*p. Let a(q) = 0. Calculate q.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 = 5*m, -4*n + 5*m = -9 + 19. Factor 0*z - 21\/4*z**4 - 15\/4*z**3 - 3\/4*z**2 + n - 9\/4*z**5.\nAnswer: -3*z**2*(z + 1)**2*(3*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 7*j**2 + 4*j. Calculate the remainder when 237 is divided by m(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51708 and 372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36255?\nAnswer: 3, 5, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -55*w + 59. What is the hundreds digit of s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51, 103, 155, 207, 259?\n\"Answer: 52*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*x = -74, s - 2*s + x + 22 = 0. What are the prime factors of 12\/s + (-112)\/(-3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25*6\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i**2 + 16*i + 3 - 20*i + i**2. What is the remainder when 11 is divided by m(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -12036, 4, -2 in decreasing order.\nAnswer: 4, -2, -3, -5, -12036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1842*y**4 - 1011*y**4 - 10436557 + 8*y + 10436090 wrt y.\nAnswer: -34236*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*f**3 - 49 + 5 + 22 + 22 - 145*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2. Let h(a) = 15*a**2 - 9. Let w(t) = 4*t**2 - 2. Let s(n) = -4*h(n) + 18*w(n). Determine m(s(v)).\nAnswer: 576*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfshahffihfffhffi. What is prob of sequence sff?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100101 (base 2) to base 14.\nAnswer: -1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2131 from -196326355.\nAnswer: -196328486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006731967 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 6 + 10. Suppose 4*p + 2*l = -18, -4*p - 22 = -3*p + 4*l. Let t be g\/p + (-3 - -3). Solve -x = -t*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b + 3. Let q(z) = -12*z + 6. Give -2*q(f) + 5*t(f).\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 5168651.\nAnswer: -4\/5168651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -292 + 117. Let b = 228 + l. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Suppose -7*p = -3*p + l. Is p bigger than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 5 = -9*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -905 = -9*m + 4*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79086, 79013, 78820, 78447, 77834, 76921, 75648?\nAnswer: 73955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2508.816065 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 3. Suppose 5*q - 5*j - 25 = 0, -t*j = -2*q - 6*j. Suppose -3*f + 27 = 6. Solve q*d = f*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddccdcfffdfff. What is prob of sequence ccc?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 72425340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - ((sqrt(136)*-3 - sqrt(136)) + sqrt(136)))*-1)\/((sqrt(80) - 4*sqrt(80))\/sqrt(10))*-3.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*h**2*t - 4*f**2*h**2 - 16*f**2 - f*h*t - 6*h**2*t - 90*h**2 wrt f.\nAnswer: -4*h**2*t - 8*h**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 661574 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.9 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 0*q + q)*(-3 + 2 + 3)*(3*q - 4*q - 4*q) to the form v + c*q + i*q**2 and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 0. Let x = 276 - 849. Is (0 - -1)\/(v\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(80)*-2*4 + -3)**2.\nAnswer: -64*sqrt(5) + 5121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 950978 and 14.\nAnswer: 950978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 95698\/27?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 391170 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2881 is divided by 884?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 250*t - 1. Let d(b) = -3*b + 2. Give -4*d(o) + z(o).\nAnswer: 262*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2019\/8 - -252. Let s = 0.04 + -0.03. Let a = s - -0.29. What is the closest to 0.1 in 0.4, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 + 5*x**2 - 5*x - 17. Let a(l) = 4*l**3 - 8*l**2 + 8*l + 25. Let h(w) = 5*a(w) + 8*g(w). Let t(y) = -2*y**3 - 6. Determine 6*h(f) - 11*t(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4058\/460 + 652\/(-29992). Solve -2\/5*f**2 - r + 46\/5*f = 0.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and 16?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5 - 3825*k**4 + 919383*k**3 + 22113561*k**2 - 919386*k - 22109736 = 0. What is k?\nAnswer: -22, -1, 1, 356, 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156953 or 156954?\nAnswer: 156953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0059 or -3?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1.492, 0.08, -5, -2\/13.\nAnswer: -5, -1, -2\/13, 0.08, 1.492, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22562867, -45125731, -67688595, -90251459?\n\"Answer: -22562864*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385340 is divided by 1262?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 87312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12533.993 + -12534. What is the third biggest value in 4, t, 37?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -24 + (-24694040)\/(-1073624). Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2 + 1386312*j + 240232620168 = 0.\nAnswer: -346578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 1 - 2*h + 2*h. Let x(v) be the second derivative of -v**3\/3 + v**2\/2 + 449*v - 5. Determine f(p) - x(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 8*w**2 + 2*w + 19. Let l = -22 - -14. Let m be j(l). What is the derivative of 3 + 14*a**3 - 24*a**m + 5 wrt a?\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6349224 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 388 - 397 = 8*n. Let q = -15 + 34. Sort q, 3, n in decreasing order.\nAnswer: q, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 237 + -226. Let y = d + -1. Sort -2, 5, y in decreasing order.\nAnswer: y, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1367728*y - 1460. Let m(s) = 7515*s - 8. What is -2*a(r) + 365*m(r)?\nAnswer: 7519*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8319 - 8316. Let b(q) = -3*q**2 + 11*q + 3. Let i(w) = -6*w**2 + 22*w + 5. What is l*i(t) - 5*b(t)?\nAnswer: -3*t**2 + 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/22 or 0?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -328*k**3 - 2*k + 53 wrt k.\nAnswer: -1968*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q - 36*q + 305 = 0. Let n = -43 - q. What is the least common multiple of n and 105?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 73, -1056, 5, 9.\nAnswer: -1056, -1, 5, 9, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ratrfftrrrrppp. What is prob of picking 1 r and 1 a?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-64)\/20 + 3 + 534\/(-30). Is ((-9)\/(-4))\/(27\/z)*-16 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5185 divided by 138.\nAnswer: -5185\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 less than 671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2 or -1\/20?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6923?\nAnswer: 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/sqrt(3)*3)**2 - (-3 + sqrt(2736))**2) + (2 + -2 + sqrt(19) + 1)*1.\nAnswer: -2573 + 73*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 3*w. Suppose w = -5*n - 4*s - 10, -3 = n + 5*s - 1. Put n, 3, -1 in decreasing order.\nAnswer: 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 - -147. What is the highest common factor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -60489.4 and 13932.\nAnswer: -46557.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -4, 674?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 521.59.\nAnswer: -104.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -81. Let x = 43 + k. What is the least common multiple of 22 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 times 0.24?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -2c?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -165, 0.5, 159?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45758 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 3*i**2 + i - 3. Let u be h(3). Let w be ((-3)\/6 - 0)*u. Suppose 2*r = g - w*g, -r + g = 0. Solve 3*y + r*y = 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20275 divided by -5.\nAnswer: -4055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85581\/23 + 3721. Which is the closest to r? (a) -6 (b) -3\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z + 3. Let x = 6446 - 6440. Let m(l) = -8*l + 2. What is x*m(u) - 4*a(u)?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 19*p - 21. Calculate d(-23).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -245 - -354. What is the remainder when i is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 9*m**2 - 63*m + 542. Calculate c(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 - (6 + -33 - (-2 - 84)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181260 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + 7 + -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.04, 23, -4\/31.\nAnswer: -0.3, -4\/31, 0.04, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*j + 24, 5*q = -j - 24 - 9. Let l be (-39)\/q - 15\/(-35). What is the second derivative of -15*m**4 + 6*m + 3*m**2 - 3*m**2 + l*m**4 wrt m?\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 + 11 - 10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 520772 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34461292183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6730 and 0.06.\nAnswer: 403.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6856 by 3428.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 966 - 518. Calculate the highest common divisor of 32 and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 7 = -853*r + 850*r, o = 3*r + 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -10.98. Let w = 13 - t. Let k be -1 + 5\/2 - 34\/12. Which is the nearest to 2\/3? (a) w (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35923 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, v: 2, h: 1, z: 1, e: 2}. Give prob of picking 1 g and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6653414154 - 1280*n + 6653414154 + 4153*n.\nAnswer: 2873*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -55190 rounded to the nearest one thousand?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**0\/w))**32*(w*w**(-4))\/(w\/(((w*w*w**(-7)\/w)\/w)\/w*w)) assuming w is positive.\nAnswer: w**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m = 19*m - 400. Let k(q) = -3*q + 27. Give k(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 15. Let c be (-830)\/(-4) - b\/10. Suppose c = -7*h + 690. List the prime factors of h.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.5 - 19. Let a = t - 11.5. Let i be 2\/(-22)*(-6)\/(-3). What is the second biggest value in i, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -930, -931, -932, -933?\n\"Answer: -q - 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5298*z - 121898. Calculate q(23).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -239 + 238.42. Round g to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 81*q**4\/8 + 1778238*q**3 + 1580653*q**2\/2 + 87814*q = 0. Calculate q.\nAnswer: -175628, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11747502 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -733, -732, -731?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*r + 8*r - 12, 5*r = 3*q + 15. Suppose 3*c + 0*c - 6 = q. Suppose 0 = -c*i + 6 + 2. Solve 3*n - i*o + 19 = 7, 3*o = -4*n + 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-21) + 170\/7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -24 + 0 + (9 - -11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26098 - -26294. What is the remainder when 748 is divided by g?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 = 32*k - 263 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4719 + 4738. Let h(n) be the first derivative of -6 + 19\/3*n**3 - w*n + 0*n**2. Differentiate h(i) wrt i.\nAnswer: 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 613717 and 221.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(80)*-2*-5)**2.\nAnswer: -80*sqrt(5) + 8001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3720 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d32ddc + -4?\nAnswer: -1d33002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 5. Calculate y(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 7:55 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 669673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6. Which is the closest to -1? (a) o (b) 2\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Let w(o) = m + o - 3*o**2 - 3*o + 4*o**2 + o**2. What is the units digit of w(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84620 is divided by 15838?\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 0 + 1\/114*o**4 + 25\/19*o**2 + 10\/57*o**3 - 2*o. Factor a(r).\nAnswer: 2*(r + 5)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 8, -21, -4 in descending order.\nAnswer: 8, -4, -21, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g**3 + g**2 + 3*g + 2. Calculate q(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -0.4. Let z = -2.49 - 0.41. Let t = r - z. What is the smallest value in 1\/3, -1\/3, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3\/4, -2\/5, 13, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2597824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43413\/11 + 3943. Let d = g + 156\/55. What is the second smallest value in -5, d, 3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177363 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 7*x + 3. Let s be f(-6). Let a = s - -5. Suppose 3*c - 4*q = 6016, c + 3*q - 1996 = a*q. What is c rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 11 = 17. Suppose -4*a + g = -1. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 2)*(2 + 0 + 0) + 5 + 17 + 7)*(0*z**3 - z**4 + 0*z**3).\nAnswer: -27*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -5*t - 10, -6*p = -9*p - 2*t + 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 32 = -u, 3*t + 2*u + 50 = -0*t. Let d be -2*9*t\/21. Suppose 3*c - 5*j = 37, 0*j + 2*j + d = c. List 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 highest common divisor of 20139380 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -293 + 289. Put 0.05, 0, 2\/7, n in decreasing order.\nAnswer: 2\/7, 0.05, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/12 - 75\/(-12). Let z(p) = -17*p**3 + 2*p. Let j(w) = -8*w**3 + w. Determine g*z(m) - 13*j(m).\nAnswer: 2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 + 178. Suppose -2*t + 2 = 0, 2*h - 2*t - k = -8. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*x + 55*x. Is 146\/(-219) - (x - 7498\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0434089 - -0.061?\nAnswer: 0.1044089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + (sqrt(91) + (sqrt(91)*-2 - sqrt(91)))*2)*2)\/(sqrt(252) + (sqrt(28) - sqrt(252))\/sqrt(4)).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + 0*f**4 + 3*f**4)*(6 - 23 + 11).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2 + 2. Which is the nearest to -0.1? (a) -6 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 528 = 8*r. Calculate the greatest common factor of r and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*w - 679072 = -709690 for w.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -42.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = 2*b, 5*g + 4*b = 5 + 4. Suppose j = g - 4. Suppose 5*c = 4 + j, 0 = -3*t + 2*c + 73. What is the highest common divisor of t and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/177284100 and 113\/25326300.\nAnswer: 177284100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i - 4. Let p(h) = -9*h - 7. Let c(u) = 11*g(u) - 6*p(u). Let d be c(-5). Put d, 4, -7 in increasing order.\nAnswer: -7, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 24*k + 134. Suppose 6*q = 8 - 38. What is the remainder when 136 is divided by d(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -83476, -167003, -250578, -334201, -417872?\n\"Answer: -24*v**2 - 83455*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -34454.478 to the nearest one hundred.\nAnswer: -34500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 389403127 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(-1*(sqrt(288) + sqrt(8))))**2.\nAnswer: 19\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403236873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q - 5*v - 35 = 0, v = 3*q + 11. Sort q, -1, 4.\nAnswer: q, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -3*p + 68, 78*p + 0*w - 783 = -w + 4*w + 480 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1454 - -2?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-63)\/105)\/((-1)\/45). Let c(o) = 65*o - d*o - 37*o - 5. Determine c(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 6*c + 5. Let d be p(5). List the prime factors of 8*(d - (-6)\/2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.032 (c) -0.7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/15 - 28\/(-5). Suppose j + 10 = -c. Let v be 3*c\/(-108)*-3. What is the second biggest value in v, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44009, -87788, -131341, -174668, -217769?\nAnswer: -260644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 0. What is the closest to c in -5, -5\/4, -0.4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -6. Suppose -z*v - 2130 = -3*v. Round v to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.16 smaller than 945.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**6\/120 - v**5\/10 + v**4\/24 + 4*v**3\/3 + 10*v**2. Let w be s(7). Calculate the greatest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, n: 8}. What is prob of sequence nnng?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 416465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -0.6. Let x(p) = -6*p**2 - 5*p - 3. Let s be x(-5). Let z = -1150\/9 - s. Which is the third biggest value? (a) z (b) 0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 26*j + 182. Let s be o(17). Let f = s + 712. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 4*q - 3*q + 8*q + 3*q + 15*q + (4*q - 4*q + 2*q)*(0 + 1 + 1).\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2704 + 12568 - 3718 - 585 - 2*h**2 + h**2 in the form z*h + m*h**2 + y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*r + z - 8, 25 = 5*z. Let u(o) = -6 + r - 6*o. Let i(h) be the second derivative of -h**4\/6 - 2*h. What is u(i(a))?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7303 - 7304. Put -3\/2, 0.1, -0.5, -241, v in descending order.\nAnswer: 0.1, -0.5, v, -3\/2, -241","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19035*w - 17464*w + 6923*w - 53 + 53.\nAnswer: -29576*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3310?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 600 and 15150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 39*w**2 - 36*w - 125. Is 150 a factor of p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-9 + 8))\/(24\/(-10)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = x + 2, -3*x - 4*w - 1 + 2 = 0. Let i be ((-8)\/6)\/((-1)\/3). Sort i, -2, x in descending order.\nAnswer: i, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202020 - 11211000000010?\nAnswer: -11210222020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 733*z**2 + 69892*z + 12009. Determine i(-445).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 11. Calculate the lowest common multiple of h and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - 8 - 2*z**3 + z**3 - 3*z**3 wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -200, -187, -172, -155?\n\"Answer: a**2 + 10*a - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 969 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*z - 7 + 3, 0 = 3*z + 5*b - 4. Suppose 3*g = z*g - 25. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 976988558 to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i = 4. Which is smaller: 12 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 105, 361, 855, 1665, 2869?\nAnswer: 4545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3511? (a) 0 (b) 0.4 (c) -4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 32. Let m = 25\/4 - 221\/36. Sort m, r, 2\/19 in increasing order.\nAnswer: 2\/19, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 + 19*a + 7. Let r be s(-6). What is the hundreds digit of (r - 239)*(5\/2 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -0.9, -142?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 5:26 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 754?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-3613603.\nAnswer: 3613603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 20 = -4, 4*j - 2*a = -8. Suppose 2*k - k - 4 = j. Solve -k + 3 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.9 (b) -4 (c) -0.059\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 960214498 and 22?\nAnswer: 10562359478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(4 + (-3 - 2)). Let a be 0 - (3*(t + -3) + -1). Solve 3*v + 3*f + 11 - 2 = 0, -4*v + a*f - 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309066592?\nAnswer: 2, 9658331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2074 - 2079. Which is the closest to -2\/3? (a) -0.78 (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -244 + 378. Let b = q - 90. What is the remainder when b is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 1 + 0 + 9*b**3 + 2 - 9*b**2. Let y(n) = 5*n**3 - 5*n**2 - n + 2. Let c(x) = 4*j(x) - 7*y(x). What is the remainder when 23 is divided by c(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 65 - (20 - -18)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -55, 2, -1, 1\/2, 0.3 in ascending order.\nAnswer: -55, -8, -1, 0.3, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.00104102 from -5920.\nAnswer: -5919.99895898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 508588147 = 508588147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 272 and -113?\nAnswer: -30736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 18*t - 81. What is the tens digit of h(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 651296623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:59 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52.6 and -0.06.\nAnswer: -3.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/62? (a) -1\/6 (b) -2 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -37 - (1 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -54031 (base 7) to base 8\nAnswer: -32127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*f + 11 = 36, -5*f = m - 2. Suppose -4*k + j = -44, -18 = k - 2*k + 2*j. Let p(z) = -2*z**3 + 9 + 3*z**3 - 3*z + m*z**2 + k*z. What is p(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, v: 5}. What is prob of picking 2 v and 2 m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 421542.5 nanoseconds in seconds?\nAnswer: 0.0004215425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + (2 - -9))\/(-1). Let p(d) be the third derivative of -d**6\/120 - d**5\/6 + 11*d**3\/6 - 1258*d**2. Determine p(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/70 and -52\/211940155?\nAnswer: 423880310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19404 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h + 3*h + 3*h + (13*h - 2*h + 3*h)*(4 - 4 - 1) in the form s + l*h and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*(4 + -1 + sqrt(448)) + (sqrt(112)*5 + (2*sqrt(28))\/sqrt(4))**2).\nAnswer: -10119 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 1\/4*d**4 - 74\/3*d**3 + 0*d - 24 + 0*d**2 + 27\/5*d**5. What is the third derivative of g(j) wrt j?\nAnswer: 648*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (15\/(-39) + -1). Let i = f + 61\/78. What is the second smallest value in 0.5, 2, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 * -0.4152.\nAnswer: 0.053976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8397786ms to microseconds.\nAnswer: 839.7786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 4, -14468 in descending order.\nAnswer: 8, 4, -1, -14468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-3525)\/(-2068))\/75).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 955*h - 935*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 2:10 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.678868 months?\nAnswer: 0.00223239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(((-63)\/12)\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(612).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25302\/106853 or 0?\nAnswer: -25302\/106853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 12*p - 108. Let d be o(13). Calculate the common denominator of -99\/56 and ((-83)\/d)\/((-3)\/12).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23287500 divided by -33750.\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 11099*h + 665867. Determine j(-60).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 102 = -s - 115, 0 = -4*r - 6*r + 5*s - 55 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111442224 (base 6) to base 5.\nAnswer: -1010334031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r - 10\/3*r**3 - 29 - 1\/2*r**2. What is a(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-5) - ((-66897024)\/80)\/19. Round h to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(110) + sqrt(110) + -2*sqrt(110)))\/sqrt(10))**2 + -1 + sqrt(121)\/(sqrt(66)\/sqrt(6)).\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Suppose -4*c + 11 + 5 = h. Solve 0*u + 20 = c*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 51. Let l(k) = k + 6. Let w be l(-6). Suppose w = -2*x + 3*x. Does 11 divide o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o - 3*h + 15, -2*h = o. Suppose 0 = -q + o*q - 50. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2, 2762*x - 8 = 3*p + 2763*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-852)\/1836 + 56\/(-140) + (-46)\/(-90).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 4*b - 16, -8*b + q - 136 = -27*b - 42 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/3, -15 in increasing order.\nAnswer: -15, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + o - 6*o + 91312, 0 = -4*s + 2*o + 182720. What are the prime factors of s?\nAnswer: 2, 19, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*o - 61*o + 511 = -127 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -5\/24*y**4 + 3*y**2 - 1\/6*y**3 + 0*y + 0. Differentiate r(f) with respect to f.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1483 (b) -2197 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-15))\/(((-16)\/(-2))\/(-240)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*t - 339 = 0, -4*t = 4*x - 406 + 146. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - w + 14 = 31, -w = -3*x + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 29.2. Let z = 8 - 3. Let k = -8 + z. Sort -4, k, n in decreasing order.\nAnswer: n, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (53\/(9646\/(-156)))\/(4800\/840)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.46634 kilometers to centimeters.\nAnswer: 46634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6287549us?\nAnswer: 0.0006287549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16240607.\nAnswer: 307, 52901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6791.\nAnswer: 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -735*y**2 - 8*y + 4. Let r(z) = -2940*z**2 - 36*z + 18. Determine 9*a(k) - 2*r(k).\nAnswer: -735*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 52695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**4\/24 - i**2. Suppose -8 = 3*l + 7. Give z(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10072215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*o + 351*o = 109*o + 1559 - 7917 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 14403994.\nAnswer: 115231952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -30. Calculate the remainder when 27\/(-18)*232\/(-12) is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 4*g**2)*(g - 6*g + 4*g)*(1 - 1 - 8*g) to the form l*g**4 + h*g + x + j*g**2 + u*g**3 and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: d2913 (base 15) to base 9\nAnswer: 1225750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k**2 + 32. Let p(b) = 5*b. What is i(p(l))?\nAnswer: -125*l**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-88616)\/(-1643) + ((-460)\/(-2852))\/(10\/4)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61316055?\nAnswer: 3, 5, 67, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 3:12 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8418 - 8410. Solve 3*d + s = -4*t, 0 = -t + 12*d - 7*d - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2916527?\nAnswer: 2916527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5058 - 38*w - 5058 to the form r + p*w and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1*15\/6. Let a = 465 - 272. Suppose 287 = 3*p + 5*b, 5*p + v*b = 3*p + a. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4914 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((2 - 4) + 1)*-3. Solve 5 = 2*j + f*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16045 - 16044.999936182. What is b rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**5\/7 + 3316560*l**4\/7 - 13266270*l**3\/7 + 19899420*l**2\/7 - 13266285*l\/7 + 473796.\nAnswer: 3*(l - 1)**4*(l + 1105524)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 13*l**2 - 2*l - 2. Let g(c) = -40*c**2 + 7*c + 7. Give 4*g(h) + 14*y(h).\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 + 0.21. Suppose b - 29*q + 30*q + 6 = 0, -4*q - 16 = -4*b. Let z = 0.1 + 2.9. What is the closest to z in m, 2\/7, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63910656 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 486 - 538 = 0. Let w(m) = 47*m - u*m - 2*m. Let p(o) be the first derivative of 2*o**3\/3 + 1. Determine w(p(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 31*s**2 - 206*s + 286. Calculate y(-21).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74128 by 16.\nAnswer: -4633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 23. Let n = y - 15. Let c = -2 + 5. Solve 14 = -n*o - 2*s + 7*s, 7 = -c*o + 2*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12197940 divided by -2.\nAnswer: -6098970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**7\/420 - u**5\/12 + u**3\/3 + 13*u**2. Let y(v) be the first derivative of j(v). Find the second derivative of y(k) wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(114) + sqrt(114)*-1)*-5 - sqrt(114))*2*1)\/(-5*(sqrt(72) + -4*(sqrt(72) - sqrt(72)*1))\/sqrt(12)))**2.\nAnswer: 76\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)\/(sqrt(180) + sqrt(5)) + -4 + sqrt(17) + 0)**2 - (-3*-2*sqrt(85) - sqrt(85) - sqrt(85))\/(-2*sqrt(245)))*3.\nAnswer: -186*sqrt(17)\/7 + 5616\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h**2 - 13 + 322*h - 8*h**2 - 303*h - h**3. Let p be i(-19). Are -3 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925844273?\nAnswer: 3, 11939, 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 + 68*h - 383. Calculate a(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2964\/8)\/(-1*(-9)\/(-48)). Let a = 3360 + t. What are the prime factors of a?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*j**3 + 16*j**3 + j + 2*j**4 - 1 - 4 as m*j + w*j**4 + x + l*j**3 + s*j**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1484511, 2969023, 4453533, 5938041, 7422547?\n\"Answer: -c**2 + 1484515*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 926 - 415. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02186 - 4.02186. Let r = -11989\/17 - -705. Which is the third smallest value? (a) r (b) -1 (c) -2\/9 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 56269*w - 56265*w + 2*p, 4*p = -3*w + 19 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*j - 17*j - 13*j + 3.\nAnswer: 5*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -610, -1065, -1464, -1921, -2550, -3465, -4780?\nAnswer: -6609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.471341 days in milliseconds?\nAnswer: 559123862.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1557\/23 + -4763\/69. Which is the closest to 0? (a) v (b) -1 (c) -5 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (39\/(-78))\/(2 + (-3)\/2). Let m be r\/((9 - 10)\/(3 + -1)). Solve -4*t = m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2. Let f = 3 + -1. Let a(s) = -f*s - 6 + 5 + 1. Calculate n(a(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 l when three letters picked without replacement from {k: 5, l: 12, n: 2}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 2*l - 1. What is the remainder when s(1) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*l**2 + 155*l**2 + 17*l**3 + 4*l**3.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1107974 take away -637?\nAnswer: 637.1107974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**2 + 132*u + 124*u + 10 - 256*u to i*u**2 + o*u + v and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4615 + -4614.998045. What is a rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/14 and -223\/12180.\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 904*w - 70 = 894*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41327525*a**2 - 45393*a - 171 wrt a?\nAnswer: -82655050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -668 + 649 + (30 - 1) - (-5 - 4 - -6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 9*o + 7. Calculate z(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 z when four letters picked without replacement from {w: 7, c: 4, z: 4, a: 2, q: 1, u: 1}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192 or 594?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and 226.\nAnswer: 27.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34354 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 - 3*v**3 - 2 - v + 5 + 2*v**2 - 2*v. Calculate k(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5364264 by -4.\nAnswer: 1341066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + (0 + -39 - (83 + -88)) - 9\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11612 = -729*d - 28379 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g**2 + 4 + 26*g - 49\/2*g**3 = 0. What is g?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 15551512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 34*x**3 + 5*x**2 - 5*x + 5. Let b(j) = -35*j**3 - 4*j**2 + 4*j - 4. Let w = 3971 + -3966. Give w*b(n) + 4*a(n).\nAnswer: -39*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 0 - (-1 - 2). Suppose 3*z = 2*w - 15, 0*w = -2*w - q*z - 6. Factor x**2 + x**2 + 11*x**w - 6*x**3 - x**4 - 6*x**3.\nAnswer: -x**2*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212919206.\nAnswer: 2, 19, 541, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -218, 18, 1, -9\/7 in descending order.\nAnswer: 26, 18, 1, -9\/7, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7410 and 36.\nAnswer: 44460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(99) + -1)*-5)**2.\nAnswer: -600*sqrt(11) + 10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 345\/48*2\/(-15) + 200\/240\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -14 - -8) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/815267 + -77449441\/376653354. Let p = 2\/231 - x. Let n = 1 - -2. Which is the third smallest value? (a) 0.2 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 24. Let y be q(-28). Let w(g) be the second derivative of 2*g**2 + 0 + 4*g + 1\/12*g**y + 2\/3*g**3. Give w(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-88))\/(243\/(-324)). What is the closest to -401 in 0.4, 6\/7, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*o - 0*o. Let k(g) = 54 + 43 + 5*g - 111. Let h(j) = -3*j + 9. Determine o*k(s) + 8*h(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13109.\nAnswer: 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 8 = 32*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 72 + 18 = -3*p, -2*z = 6. Let o be (3\/(-2))\/(3\/p). What is the units digit of ((-5)\/(-5))\/(-1) - o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 times 1?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2217316 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 1. Let a(y) = y - 1. Let s(n) = 4*a(n) - 3*v(n). Let z be s(1). Suppose 84 = 4*g - z*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 7*m + 5*n - 165, 3*n = 5*m - 125. Suppose 6*s = 8*s - 30. What is the remainder when m is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11025435 divided by -5?\nAnswer: -2205087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*t)*(-6*t**2 + 5*t**2 - 4*t**2)*(184 - 95 - 89 - 2*t) as s*t**3 + p*t**2 + u*t**4 + j + w*t and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (33\/(-55))\/(6\/(-50)). Suppose -v*f = j - 483, 399 = 2*f + 2*f + 5*j. What is the highest common divisor of f and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*29\/(-174))\/((-3)\/(-63)*4)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 62. Suppose -33 = -y + u. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -322, -494, -666?\nAnswer: -838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/280385 and -61\/1682310.\nAnswer: 1682310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -212\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i + 200*i - 24*i - 25*i - 174*i - 19*i + 50*i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - -0.3. Let l = 0 + u. Let v = -848\/9 - -94. Which is the nearest to v? (a) l (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1512901 and 115\/626028.\nAnswer: 18154812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -77*o - 68*o + 145*o + 2*o**2. Let l(n) = 3*n. Calculate l(m(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4282712, -17130827, -38544352, -68523287, -107067632, -154177387, -209852552?\nAnswer: -274093127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 4*o + 3*s, -70*o - 3*s = -68*o + 30. Which is smaller: o or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(2)*5 + sqrt(60) + sqrt(60))\/sqrt(3))\/(2*sqrt(324)*-6).\nAnswer: -7*sqrt(5)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {i: 1, j: 7, q: 12}?\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 424.1 - 245.2. Let f = 203 - y. Round f to 0 dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 12*h - 114. Let x be m(9). Sort x, -4, -2 in increasing order.\nAnswer: x, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -13*a + 25*a. List the prime factors of 7284\/a - (-16)\/(-40).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/6 + (-77)\/(-6). Suppose 0 = c - 4 - s. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -11516523.\nAnswer: 2303304.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11514 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, 5, -11, -1\/4, 2.54?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/10800 and -139\/1296?\nAnswer: 32400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 67, -4, -2249?\nAnswer: -2249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqqqqqumqmuqqquum. Give prob of sequence mq.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54187\/4 or 13548?\nAnswer: 54187\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -15*v - 8. Let t(o) = 99*o - 13. Let y(n) = 413*n - 56. Let k(s) = -21*t(s) + 5*y(s). Calculate -2*h(q) + 3*k(q).\nAnswer: -12*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 + 5*b**2 - 6 + 6*b**2 + 6.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + 4 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4, x - 20 = -x - 4*l. Let k = x + -12. Let z(v) = -v**2 - 7*v - 5. What is the units digit of z(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 58.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1509859\/2679999 - 8\/22521. Let c = i + 1\/119. What is y in 0 - c*y + 1\/7*y**2 = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - -1 - (-2 + 4). Let z = 41 + -38. Suppose 0 = -2*a + 2*w + 14, w - 11 = -z*a - w. Put -4, a, n in increasing order.\nAnswer: -4, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10211 + -2?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -245*w - 633*w + 1287*w + 1227*w + 924*w - 2 in the form r + z*w and give z.\nAnswer: 2560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 5*v**2 - 16*v - 10. Let i be x(-7). Calculate the common denominator of 4870\/(-840) - i\/14 and (0 + (-158)\/468)\/((-3)\/(-9)).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43\/121 - -59\/847. What is the nearest to -2.1 in 0.1, c, 29, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -1 - -5 - (4 - 1). Let c(y) be the second derivative of t + 0*y**4 + y**2 + 4*y + 3\/20*y**5 + 0*y**3. Find the first derivative of c(k) wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*z - 955 = -1275 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041500 divided by 2?\nAnswer: 1020750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 0 + 3*-1. Let o be (0 + 1)\/(0 - a). Let t be (2\/1)\/(3 + 1). Which is bigger: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 697.5314mg?\nAnswer: 697531.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 20*a**2 + 176*a - 47. What are the prime factors of s(-16)?\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/22205400 and -71\/14280.\nAnswer: 22205400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*m - 1)*(10*m**3 - 17*m**3 + 25*m**3) - 18 + 18 - m**3 - m**4.\nAnswer: 35*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-134)\/(-4)*(-62)\/(-837) and (-8)\/(-64) + (-517)\/72?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -90, -118, -166, -234?\n\"Answer: -10*j**2 + 2*j - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 664515904.6+60338\nAnswer: 664576242.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 + 8*o + 6. Suppose -10 = 2*j + v, 4*j - v - 4 + 24 = 0. What are the prime factors of x(j)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19167\/40 - 1873\/4. Let d = c - 89\/5. Find the common denominator of d and (32\/(-10))\/(17 + -18).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -263412, -1054030, -2371726, -4216500, -6588352, -9487282, -12913290?\n\"Answer: -263539*b**2 - b + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*sqrt(550))\/sqrt(10))\/(sqrt(245) + 1*-2*sqrt(245)).\nAnswer: 6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106537275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 2618043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -35767 divided by 6?\nAnswer: -35767\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1553765240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 u, and 1 w when three letters picked without replacement from yyuwgyyuguuwy?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 20*m**2. Suppose -32 = -11*b + 3*b. Let v(i) = 5*i - 7*i + b*i. Calculate l(v(a)).\nAnswer: 80*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**5\/20 - 3*f**2\/2 - f + 1. Let l(t) be the first derivative of i(t). Differentiate l(b) with respect to b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*c + 33*c - 55*c = -24108. Solve -31*n - c = 11*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.414 millennia in years?\nAnswer: 184414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -38, -26693 in decreasing order.\nAnswer: -1, -38, -26693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0 + 1\/39*f**3 + 1\/39*f**4 + 3*f**2 - 15*f - 1\/455*f**7 + 1\/195*f**5 - 1\/195*f**6. What is m in o(m) = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + (1 + 5 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 127*o + 49 = 122*o, -f + 22*o + 219 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1573) - (sqrt(208) + -3 + sqrt(13)).\nAnswer: 2 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/11*19250\/(-250)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 s when four letters picked without replacement from {m: 2, s: 10}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 25, 66, 125, 208, 321, 470, 661?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + -2?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127228 is divided by 2090?\nAnswer: 1828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykkxkhykkckxkykckkk. Give prob of sequence xck.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by -24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 8 - ((-3107)\/(-221) + -24)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192 - 222) + (1 - -23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -9235*d**2. Let f(i) = -5*i**2. Calculate f(b(m)).\nAnswer: -426426125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2*(-169)\/(-507)*-1*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -651.7012066 to the nearest ten.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/3739 - -306570\/26173. Let s = 17400 + -17387. Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4 + 8*m + 2 - 9*m. Let w(k) = -k**3 - 3*k**2 + 3*k. Let a be w(-4). Let i be z(a). Solve -2*t - i = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {c: 1, b: 2, y: 1, p: 3, f: 5, x: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 261.7770509 to 0 decimal places.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -23264399*r + 8*r**2 + 23264399*r. Let p(k) = -933*k**2 + k. Determine p(b(s)).\nAnswer: -59712*s**4 + 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 - (-3 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-12)\/(-6))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2 - 7*n - 4. Let x(m) = 13*m**2 + 20*m + 11. Determine 17*h(u) + 6*x(u).\nAnswer: -7*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 141*g*k**3*m**2 + 772*k**3*m**2 + 2*m**2 wrt g?\nAnswer: 141*k**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 656.1165 milligrams in nanograms?\nAnswer: 656116500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13201 (base 4) in base 12?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and (6 - (8 - 4))*16.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6177257\/11 or -1?\nAnswer: 6177257\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 57018945 + 1?\nAnswer: 57018946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8) + (-195)\/30.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*i**2 + 434*i**2 - 196*i**2 - 2786*i + 2786*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 462247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + -2121334?\nAnswer: -2121224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -149, -210, -263, -308, -345, -374?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.1. Let k = 23 - 22.82. Let l = 1.82 + k. What is the second smallest value in 1, w, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.756 - 35. Let n = v - -0.24965. Round n to four dps.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -528 - -761. Suppose -109 = -2*p + 5*i, -p - 3*p + s = 5*i. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, q: 1, p: 2, r: 6, v: 1, e: 1}. What is prob of sequence qre?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 24 = -5*a. Let t(g) = -g**2 + 12*g - 18. Let p be t(a). Differentiate -15*i**4 + p + 0 - 2 + i**4 wrt i.\nAnswer: -56*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 bigger than 6114\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -8, -9, 5, -2, -13.\nAnswer: -13, -9, -8, -2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 4. Let a(g) = 2*g - 4. Let n = 1711 - 1708. Determine n*a(p) - 4*q(p).\nAnswer: 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 5*w - 1. Let d be p(-6). Let x be 4\/(-3)*60\/d. Let i be (-4)\/x - 11\/12. What is the third biggest value in -1\/2, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 162364 + 611?\nAnswer: 163305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**5 + 3*m**5 + 22*m**6 + 26*m**2 + m**5 wrt m?\nAnswer: 2640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.71*-486868\nAnswer: -345676.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*y - 2. Suppose y = 3*u - 10. Suppose o - 55 = -u*o. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10140000 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {l: 4, v: 6, t: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -35.5. Let a = 1230 - 1234. What is the nearest to -1 in a, 8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -4699174\nAnswer: -21\/4699174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 2*m**3\/3 + 11*m**2\/2 - 7*m + 104. Let d(k) = -k**2 - 7*k - 5. Let v be d(-4). Is 24 a factor of n(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (12 - ((-42)\/6 - -9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 - -134. Let o be 272\/(-40) + 6 + q\/10. What are the prime factors of (-170)\/(-5)*-9*(-3)\/o?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 842*f**2 - 5999*f + 709. Calculate z(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 857666 (base 10) in base 7?\nAnswer: 10201325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, 1, 393, 1149, 2389, 4233, 6801?\nAnswer: 10213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*g**5*t**2 - 806*g**3*t**2 + 8305*g*t**2 + 2*g*t wrt g.\nAnswer: 380*g**3*t**2 - 4836*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, j: 4}. What is prob of sequence jq?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4))**29*x\/(x\/(x*x**(1\/9)\/x*x))*x\/((x**(-2)*x)\/x)*x assuming x is positive.\nAnswer: x**(445\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 - 0.23. Let j = 1809.6 + -1810. Sort 3, j, -0.8, d in ascending order.\nAnswer: -0.8, j, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w + 100 = -8. Solve -5*y + w = -3*l - l, -6 = -2*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1161, -1087, -1013, -939, -865?\n\"Answer: 74*w - 1235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 12:32 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 341515752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7. Let m = 3 - 5. Let d(g) = -g - 8. Let r(q) = m*d(q) - 3*u(q). Let t(c) = -c + 1. Give r(k) + 5*t(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-139140)\/69555 - (-4)\/2. Let b = x - 542509\/46370. What is the common denominator of -1*2 + (-228)\/88 and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 6:48 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -326*u**2 - 2607*u + 6. Let n be p(-8). Sort n, -511, 0.\nAnswer: -511, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 6 + 4)*(-1 + 2 - 3) - 4 + 12 + 21)*(-4*h + 3*h + 0*h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4\/15 - 446*z**3\/15 = 0.\nAnswer: -223, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(2\/(-8) - (-70)\/216). What is the nearest to k in -2\/9, -1, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 10:55 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*o**5\/3 + 328*o**4\/3 + 200*o**3 - 1072*o**2\/3 + 308*o\/3 - 8 = 0 for o.\nAnswer: -2, 1\/7, 1\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(1\/(-2)). Let j(k) be the third derivative of -k**6\/120 - k**5\/60 - k**4\/12 - k**3\/6 + 2275*k**2. Determine j(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/5 - 4748796*t - 14094414656010 = 0. Calculate t.\nAnswer: -5935995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 136973827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48510 and 1323.\nAnswer: 145530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4166919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g**3 + 2*g**2 - 14*g. Let h(d) = -28*d**3 + 7*d**2 - 42*d. Let v(m) = -7*a(m) + 2*h(m). Find the second derivative of v(r) wrt r.\nAnswer: 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 14*y**2 + y - 4. Let c be a(-3). Suppose 33*w - 11*w - 8228 = 0. Suppose 7*g = -4*g + w. Calculate the greatest common divisor of c and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 42556, 42552, 42546, 42538, 42528, 42516, 42502?\n\"Answer: -u**2 - u + 42558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 9*i + 11*i)*(-4*i - i + 4*i) + (-i - 3*i + 3*i)*(-2*i - 4*i + 4*i) - i - i**2 + i.\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-64))\/(3\/24*-1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z + 7. Let k(n) = -18*n + 15. Give 3*k(u) - 7*r(u).\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 4. Determine v(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49275 + -26700. Is 175 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-26)*(-1)\/3*4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(((q\/(q\/q**(-20)))\/q)\/q))\/q*q**(3\/10)*(q**(-4\/3)*q)**(1\/27))**3 assuming q is positive.\nAnswer: q**(18053\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.33 and 6.\nAnswer: 15.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -99. Let n = 24 - 17. What is the remainder when a is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159201 + -1751209\/11. Factor -26\/11*v + 0 - b*v**3 + 28\/11*v**2.\nAnswer: -2*v*(v - 13)*(v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/130825 or 2\/303?\nAnswer: 2\/130825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -4. Let d = z + -1. Which is the smallest value? (a) d (b) -0.2 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 - 34. Let x = m - 27.933. Round x to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 0*x**5 + 0*x**4 - 2*x**3 + 1 + 0*x**2 - 4\/7*x**7 + 0*x**6 + 0*x. Find the third derivative of j(p) wrt p.\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.2056 + -4.28. What is b rounded to 3 decimal places?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10042 - 3638 = 2251*m - 16106 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -873393, -1746804, -2620215?\nAnswer: -3493626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -31, -68, -127, -214, -335?\n\"Answer: -d**3 - 2*d**2 - 8*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40674387 is divided by 2553?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 8*z**2 + 5. Calculate p(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 22 - (-1 - -7 - 7 - -6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.3 * 4.\nAnswer: -77.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 - j**5 + 4*j**5 + j**5 - 5*j + 5*j + (-1 - 3 + 3)*(0*j**5 + 2*j**5 + 0*j**5) - 4*j**5 + j**5 + 2*j**5 - j**5 + 3*j**2 - 3*j**2.\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13028356.\nAnswer: 2, 11, 296099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6066 and 175266?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 861 = -5*y, 0 = 3*y + 15*r - 10*r - 511. What is the remainder when y is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 2 - 2)*(-91*x - 799*x + 159*x) to the form g + c*x**2 + n*x and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 2*n**3 + n**3)*(-4*n - 6 + 6).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n + 5*s - 4 = 0, 4*s = 0. Let l(x) = 13 - n*x + 0*x - 5 + 0*x. Calculate the smallest common multiple of 4 and l(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27 + (6 - 1) + -4. Let p be 3*7 + -1 + 1. Let y be 2*4\/(4\/p). Calculate the highest common divisor of y and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/2 of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3205 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59263305 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/21)\/(-3))\/((-8)\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6.3 (b) 2 (c) 0.5 (d) 8 (e) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 248.1 - 247.6. Let s = 85.99 - 0.99. What is the nearest to 2\/5 in -3, h, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - 7)*(3 + 1). Suppose 4*s - y = 104. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135458 = -34*r - 9148. What are the prime factors of r?\nAnswer: 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 107 = -2*p - 77, 18 = 2*y - p for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5919893226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t + 45. Suppose 0 = -4*m - 4*u + 248, 0 = 96*u - 91*u. Suppose -t*z - m = -11*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9155.35l?\nAnswer: 9155350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = -35*w - 138 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 40114.1.\nAnswer: 40114.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.98898346 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52808 (base 9) to base 16.\nAnswer: -8867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 5)*(9 + 2*-1). Solve -2*d = n - 5, -2*d = 3*d - 2*n - k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 184, 0, -1 in increasing order.\nAnswer: -1, 0, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 806.4283 days?\nAnswer: 69675405120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 338, 680, 1026, 1376, 1730, 2088?\n\"Answer: 2*w**2 + 336*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, v: 5, s: 1, f: 2, p: 6}. Give prob of picking 1 f and 2 p.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1992.5 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007 is divided by 751?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 118533684 to the power of 1\/3, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -915*n**3 - 760*n**3 + 1523*n**3.\nAnswer: -152*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -288133*c**2 - 70347*c wrt c?\nAnswer: -576266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2656 or -19?\nAnswer: -2656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67228.245us to weeks.\nAnswer: 0.0000001111578125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aworqioaq. What is prob of picking 1 i and 1 a?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f**3 + 4*f - 3. Let g(w) = 13*w**3 + 8*w - 5. Let q(a) = 3*g(a) - 5*s(a). What is the second derivative of q(h) wrt h?\nAnswer: 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((-156)\/(-312))\/((-172)\/(-56) - 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from ttpttmttfttpmmtttpm.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21413 (base 10) in base 8?\nAnswer: -51645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6017, -6032, -6047?\n\"Answer: -15*v - 6002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 2.6 (b) 553 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47 - 18?\nAnswer: -5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 4*g**3 + 4*g**3 + (g**3 + 2*g**3 - 4*g**3)*(1 + 2 - 5) + 2*g**3 - 2*g**2 + 2*g**2 as w*g**2 + h + x*g + z*g**3 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 12 = 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, -1, 0.0043643?\nAnswer: 0.0043643","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 3*j + 39. Let t be f(-9). What is the greatest common factor of t and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 88, 129, 170, 211?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 15 = -c - 17, 2*c = 4. Suppose -5*s + 4*n + 75 = -f, 3*s - 54 = 3*n. What is the smallest common multiple of s and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.976 - 42. Let b = f - -0.024212. Round b to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a9 + 1758a6?\nAnswer: 175993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78280*t**2 + 30*t - 18*t + 78285*t**2 - 156552*t**2 - 12*t.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472428*p = 472447*p - 247 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000986483159 rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 1. Let j = -2 + p. Which is the nearest to -1? (a) -4 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.817733 micrometers to kilometers.\nAnswer: 0.000000000817733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30376 or -30375?\nAnswer: -30376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 44 - 12 = 0. Suppose -n = -0 - 2. Solve 0 = -n*r - 6, r - 11 = -2*g + z*r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -0.5, 0.0466, -12?\nAnswer: 0.0466","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1157445 and 99\/117030550?\nAnswer: 1053274950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 9*l - 116. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1437, -2875, -4313, -5751, -7189?\nAnswer: -8627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*h + 3004 + 2644 + 22*h + 1664 + 19*h.\nAnswer: -8*h + 7312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:39 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.626 - -25.126. Let t = 0.21 - 0.01. Let k be 10\/(-6)*4\/(-10). What is the nearest to 1 in t, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and 168.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.76 - -46.24. Let x = 28 - g. Which is the biggest value? (a) 5 (b) -1\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7463056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 2*n + 3. Let q be t(6). Let u = 3 + q. Suppose -2*j = -4*a - u, -a - 54 = -2*j - 0*a. Solve 6*s + j = 2*s + 5*l, -s = l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (9 - 16 - 71) + -25?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/192 and 95\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -10. Let n(d) = d**3 + 10*d**2 - 12*d + 1. Let b be n(o). Suppose -2*p + 75 = -b. Calculate the highest common factor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 43 - (5 - -1 - (44 - 56))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*x + 330, -x = 2*x + 2*f - 491. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 10*x**2 + 22*x + 11. Let o = 295 + -289. Let k be h(o). Which is smaller: k or 2\/35?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9436 = 115*p - 364*p + 6199 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8893293?\nAnswer: 3, 47, 63073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-2))\/(1\/(-1)). Let n(b) = 21*b**3 - 2*b**2 + 1. Let r be n(d). Calculate the remainder when 13 is divided by ((-2)\/4)\/((-2)\/r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 480 = 2*q. Suppose 0 = q*y - 77*y. Solve y = 2*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*h + h - 23 = 0, m = -5*h + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*c - 15, 5 = -c + 2*c. Suppose -x - 4*l = -5*x - 20, 5*x - l = -21. Put k, 2, x in decreasing order.\nAnswer: 2, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6 and 63\/2096?\nAnswer: 6288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {j: 1, i: 8, n: 1, w: 1, m: 3, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1167 - -1165.2944. Let f = -2.1 - -0.4. Let o = f - h. Round o to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -672.9999785 + 673. Round b to seven dps.\nAnswer: 0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70636020 divided by -2716770.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 628 + -417. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1884)\/(-78) - 2\/13. Let y be 94\/8 + 6\/q. Let f be y\/4 - (-3 - -4). Solve f*m + 0*g - 22 = 4*g, -4*g = 20 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99732656 divided by 24933164\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2 - i - 9. What is o(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4806863 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 6*s**2 + 3*s - 7. What is n(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, a: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2535, -2973, -3705, -4731, -6051?\n\"Answer: -147*r**2 + 3*r - 2391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Suppose -z*x = -6 - 0. Suppose x*v = 5*r + 13, -v + r - 19 = -6*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - b - 15. Suppose 0 = 5*v + 54 - 204. Let h be v\/8 - (-1)\/4. Sort b, -2, h in increasing order.\nAnswer: b, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 166, 222, 278, 334?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2423431 (base 6) to base 16\nAnswer: 1f34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osonnq. Give prob of sequence on.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {o: 2, l: 4, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(98)\/((sqrt(315)\/sqrt(5) - sqrt(63))\/sqrt(9) - sqrt(7)))\/(1*sqrt(7)*4 - sqrt(63)*-5) + -1)*1.\nAnswer: -1 - sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19 - 116\/203*-35) + 9\/1. Let k = 7 + -5. Solve k*n - t = -4*z, n - 6*n - 5 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 718*z - 2 - 715*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.388 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 3*sqrt(162)*1)\/(-6*(sqrt(441) + (sqrt(441) - (sqrt(441) + sqrt(441) + -2*sqrt(441))))).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -2*l - 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7511785067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6*q + 3*q = 264, -8 = 2*q. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21208091054 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 3)*(-6 - (-220)\/33). Let b(c) = 8*c - 2. Let t(w) = -17*w + 81*w - 7 - 41*w. Give o*t(y) + 7*b(y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**3 - 4*l**2 - 4. Let a(r) = r**3 + r**2 + 1. Let k(s) = -4*a(s) - t(s). Let f(c) = 2*c**3 + 17*c - 17*c. Calculate f(y) + 2*k(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151768533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8408197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 43*j = -4*r - 46*j + 54, 254 = -4*r + 11*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(8\/(-3))*(-4)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52385073?\nAnswer: 3, 13, 109, 12323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -152, -239, -314, -377, -428?\n\"Answer: 6*h**2 - 105*h - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -302679 - -302702. Suppose 7 = 2*g - g. Solve k = -4*v + g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*k + 30 = 0, -2*i - i - k + 80 = 0. Let p = i + -16. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001\/1001*2\/(-62)\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17672235 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 - -1)\/(-17 - -19). Let r be 1\/(v*2\/(-8)). Let y(g) = 15*g**3 - 1. Calculate y(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*(29 - -3)\/4. Solve u*i - 4 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x + x)*(1 - 1 - x) + 572*x**2 - 47*x**2 + 470*x**2.\nAnswer: 993*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 324.2*-5\nAnswer: -1621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140215 is divided by 8242.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3540 - 47232?\nAnswer: -43472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535*j**3 + 124 + 128 - 250.\nAnswer: 535*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 9 (c) -302670 (d) -14\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -256142?\nAnswer: 3\/256142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79011.5573 + 79007. Let s = 0.0127 - d. What is s rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 5*c - 33. Let k be f(-8). Let n(z) = -29*z. Let l be n(2). Let q = l + k. What are the prime factors of q?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -14. Let r(y) = -5*y + 2. Let g(c) be the third derivative of -c**4\/4 + c**3\/6 - 2*c**2 - 29003*c. Give o*r(t) + 6*g(t).\nAnswer: -t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 69 + 759 = 0. Calculate the smallest common multiple of 42 and t.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 1. Let v = 2 - -1. Let j be (-4)\/14 + 100\/(-630). What is the nearest to y in v, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -9. Let f(j) = -j**2 - j + 3. Let t be f(0). Let p(i) = -3 + 6 + t*i - 2 + 4. Determine p(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2210 + -285a?\nAnswer: -4a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + c = 39, -21*t + 17*t + 3*c - 49 = -0*c + 12*c for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1543\/15 - -103. Which is the closest to -2? (a) 1 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -7. Suppose 3*d + d = 0. Solve 3*a + q - 6 = d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = 2*h. Suppose 0*k + 115 = 5*y - 5*k, -h*y - 3*k + 71 = 0. What is the smallest common multiple of y and (0 + 3)*40\/6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k + 0 - 1\/6*k**3 - 1\/2*k**2. What is f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*q - 28, -32*f + 16 = -34*f + 3*q. Put 29, f, -4, -2 in decreasing order.\nAnswer: 29, f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**3 + a**2 - a + 1. Let g(v) = 2*v**3 + 68*v**2 - 119*v + 31. Let d(b) = g(b) - 3*n(b). Solve d(f) = 0.\nAnswer: 2\/7, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15317 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:00 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 7955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 922 + -9211\/10. Let m be ((4\/(-10))\/(4\/(-526)))\/11. Let f = m - 13\/11. What is the common denominator of f and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*6 + -5 - -5*-4*(sqrt(11) + 1).\nAnswer: -25 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**10\/226800 + f**9\/15120 + f**8\/3360 - 71*f**5\/30 - 2*f**2 - 23*f. Let w(q) be the third derivative of l(q). Factor w(v).\nAnswer: 2*v**2*(v + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(1\/2)\/(-1). Suppose -d = -5*b + 23. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12036 and 2?\nAnswer: 12036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -361.\nAnswer: -4\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from {w: 9, a: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {j: 3, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 743919.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 16, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - g = -2576, -2*v - 3*v + 3*g + 2572 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-1)*121\/(-484)*4\/15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -0.08, -8, -10\/7 in increasing order.\nAnswer: -8, -10\/7, -4\/9, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -8*s + 7*s. Let x = -5 - s. Factor 1\/2 - 2*k + 3*k**x - 2*k**3 + 1\/2*k**4.\nAnswer: (k - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11925783.\nAnswer: 3, 139, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1718, -3421, -5124, -6827, -8530, -10233?\nAnswer: -11936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 = 3*f, -4*f + 2*i = 3*i - 11. Suppose 4*r + 0*r = 4. Put r, f, -1 in decreasing order.\nAnswer: f, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.7 + -4. Suppose 346 = 4*y - 1478. Let n = y + -458. Which is the fourth biggest value? (a) -1\/6 (b) -3 (c) n (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.29 - 1.29122. Round o to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0 (c) -51 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-79)\/(-6) + (-191 - -178))*-4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 - -364. Let s = g - 13. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -536*k**3 - 488.\nAnswer: -1608*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 3 (b) -1\/2 (c) 2.97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 + -6?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (11 + (-138)\/12)\/(2*1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or -118\/5?\nAnswer: -118\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from qddnqdddqddnqd?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6581)\/(-198) - (-1 + (-13)\/(-11)). Let q = 32\/9 - v. Find the common denominator of q and -63\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*y - 22. Solve y*z - 4 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 814\/765 - 10\/9. Let y = -223\/680 + s. Suppose r + 2 = -5*d + 3, -r - 5 = -d. Which is greater: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(264)*1 - sqrt(264))\/(sqrt(12) + sqrt(12) + sqrt(300)*-2))\/(-1*sqrt(242) - sqrt(24)\/(sqrt(12)*1)))**2.\nAnswer: 11\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t**2 + 3. Let q be l(0). Suppose -q*r + 3 = -6. Solve 2*h + r = 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -662421, -1324975, -1987515, -2650035, -3312529?\n\"Answer: j**3 + j**2 - 662564*j + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/2 (b) 0.05 (c) 2 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -85*y - 19. Let t be f(-8). Suppose -8*z + 539 = -t. Suppose 5*c + z = 410. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-11) - -1 - 620\/(-465).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v - 60 - 31 + 121 - 30.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007694953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 43*t - 41*t - 1312 = 0, -2*t - 6 = 0. Are -661 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101100100 + -10000001?\nAnswer: -101111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -0*l + 3*l. Suppose 4*r + l = 5*j, -2*r + 11 - 1 = 0. What is the greatest common divisor of j and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(16\/2)*24\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 4*f**2 + 3*f - 1. Let w(y) = -y**3 - 3*y**2 - 2*y + 1. Let o(q) = 4*m(q) + 3*w(q). What is o(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1636 - 886. Let z = 1110 - b. 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 nearest to 23 in -4, 101, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18819, -37638, -56457?\nAnswer: -75276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -j - 8, -16 = -3*j - w - 3*w. Let z be 531\/(7 - 120\/18). Suppose j = -4*a + z - 4913. What is a rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19103436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, w: 4}. What is prob of sequence waaw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.75 in -0.3, -1, 0, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -104 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 883068.\nAnswer: 4415340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8871, -8878, -8887, -8898, -8911, -8926, -8943?\n\"Answer: -s**2 - 4*s - 8866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**2 - 4. Let l(j) = 4*j + 3*j - 3*j. Determine b(l(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 13*y**2 + 183*y + 1119. What is k(-8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33186366 - 1?\nAnswer: -33186367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 177.2 + -178. Let v be (-1)\/(-8) - (-858)\/(-1232). Which is the fourth biggest value? (a) -2\/9 (b) s (c) v (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -19*g**3 - 828*g**2 - 9018*g + 44. Calculate i(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 522936*d**3 + 5*d**2 + 20134*d wrt d?\nAnswer: 3137616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-10880.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 - -128. Calculate the smallest common multiple of t and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2040848157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24912168 divided by -2076014\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10674473.\nAnswer: 41, 167, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26214, -104926, -236142, -419862, -656086, -944814?\nAnswer: -1286046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.019 + 0.041. Let f = -2.6 + p. Let s = f + 0.44. Which is greater: -1\/6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12050 divided by -1?\nAnswer: 12050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13760, -27515, -41270, -55025, -68780, -82535?\nAnswer: -96290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*q + 30, 0 = -2*l + q + 20 + 10. What is the greatest common factor of 75 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2420774*b + 4847714*b - 2426947*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 924207*u**3 + 2*u**2 + u + 122253 wrt u.\nAnswer: 5545242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 19*h**3\/3 - 7547*h. Let j(k) = 14*k**2 - 1. Calculate w(j(d)).\nAnswer: 532*d**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10488)\/(-4788) + (-16)\/84. Let j(c) = -c**2 + 6*c - 4. Let d be j(6). Sort -168, d, o in decreasing order.\nAnswer: o, d, -168","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:35 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23616 * -0.4.\nAnswer: -9446.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s + 1 = 0. Let h(n) = 4*n. Give h(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 233\/160650 and -113\/776475.\nAnswer: 4658850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1053 (b) -2\/19 (c) -1165 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 212 = -15*n. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4 = -5*w, 14 - 16 = 4*w - 2*r. Let x = -3959\/558 - -64\/9. Is x >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4, -3108, -4, 0.1 in ascending order.\nAnswer: -3108, -4, -0.5, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -44.9. What is the nearest to 3 in c, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46, 83, 118, 151, 182?\n\"Answer: -x**2 + 40*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 3, -42639, 4 in increasing order.\nAnswer: -42639, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 17 = 4*q, -2*q + 13 = -h + 4. Let y(n) = -7*n**3 - 33*n**2 - 8*n - 13. What is the lowest common multiple of y(h) and 196?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 42*g - 916. Let p be v(22). Solve -7*y - l = -9*y - p, l + 10 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -250) + 5 - 5. Is 31447\/r - (-1)\/6 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 8. Let h be 3 - 2\/(n + -2). Solve 0*p + 16 = h*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 2. Let y be (b\/10)\/((-6)\/8). Let -2\/5*q + 0 + 0*q**2 + y*q**3 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*n + 82*n + 363 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18636 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 4*s - 3*s**2 - 5*s to the form a*s + d + x*s**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**3 + 9*o**2 - 14*o + 10. Let t(z) = 2*z**3 - 8*z**2 + 12*z - 10. Let q(s) = -4*t(s) - 3*y(s). Give q(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)*o)\/o**(-29) assuming o is positive.\nAnswer: o**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28652388 - 24?\nAnswer: -28652412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2176 - 2168. What is the nearest to -2 in -1.6, v, 0?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*y**4 - 171*y**3 + 123*y**2 - 21*y.\nAnswer: -3*y*(y + 7)*(3*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 11626, 426 in ascending order.\nAnswer: 8, 426, 11626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 2*j - 4*j - 4*j**2 + 3*j.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.88 (b) -2\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**26*(c*c**(-3))**(-1\/4))**(6\/19) assuming c is positive.\nAnswer: c**(315\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 292769 at least 292770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -14*x**2 - 6*x + 17. Let r(c) = 5*c**2 + 2*c - 6. Let h(i) = -6*k(i) - 17*r(i). Determine s so that h(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2) + (-11)\/(-6). What is the closest to g in -2, -1\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2 + 7*w + 1. Let v(x) = -9*x**2 + 13*x + 1. Give 5*r(s) - 3*v(s).\nAnswer: 2*s**2 - 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57381137699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - z + 117, -4*s + 132 = -5*z + z. Let g = 35 - s. Let 22\/3*l**4 + 11*l**3 + 20\/3*l**2 + 0 + 4\/3*l + 5\/3*l**g = 0. Calculate l.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1 (b) -0.4 (c) -9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, y: 1, g: 1, k: 11}. Give prob of picking 2 r.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21312 = -3*j - 4*i, -j = 4*j + i + 35503. Round j to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 43.336 micrometers?\nAnswer: 43336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/2 - 515*w**2\/2 + 34036*w - 225806 = 0 for w.\nAnswer: 7, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 231 (b) 5 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.295 + 137.705. Let p = u - 138.5. Let r be (-15)\/(-9)*(-4)\/(-70). Which is the closest to 0? (a) 3 (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -123*k - 21. Let v(l) = -31*l - 6. Determine 4*t(m) - 15*v(m).\nAnswer: -27*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1 + 7*l**3 - 8*l**2 + 3*l**5 + 3 - 9. Let a(u) = -2*u**5 - 4*u**3 + 4*u**2 + 4. Let p(k) = 7*a(k) + 4*t(k). Find the third derivative of p(c) wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/2100 and 117\/15278300?\nAnswer: 320844300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {z: 4, a: 3, g: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(500) + -4 + sqrt(20)\/sqrt(4)))**2.\nAnswer: -88*sqrt(5) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 + 2*h**2 - 3*h. Let x be l(2). Let b = -108\/5 - x. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6827 less than 4?\nAnswer: -6823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 101, 846, 2865, 6794, 13269, 22926?\n\"Answer: 106*s**3 + s**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**3 - 3*j**2 + 14. Let x(t) be the first derivative of -11 - 1\/3*t**3 - 1\/4*t**4 + 5*t + 0*t**2. Give 4*l(g) - 11*x(g).\nAnswer: -g**3 - g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*k + 43*k - 86*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**5\/60 - t**4\/3 + 7*t**3\/6 - t**2 - 1. Let n(w) be the second derivative of o(w). What is the units digit of n(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 6:59 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*m - 7*m = 7, 3*g + 5*m + 16 = 0. Suppose -39 = -3*k - g*y, -5*y = 5*k - 9*y - 110. Calculate the greatest common factor of 102 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 288\nAnswer: -57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-22) + 0 - 276\/(-660). What is the third biggest value in -3, 10, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.766117062 to two dps.\nAnswer: -11.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 354448 = 4*i - 6*k, 5*i - 2*k - 443045 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361184, -361174, -361164, -361154?\nAnswer: -361144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h. Let q(b) = 4*b. Calculate q(p(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-1 + 1 - 3) + (-12 - -12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33653 - 25225. Is j < 8427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408741196, 408741197, 408741198?\nAnswer: 408741199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 4*s + 5*t, 4*s + 66 = 2*t + 3*t. Let v = -16 - s. Solve 13 + 2 = -v*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 889 is divided by 44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/4 - 90*r + 2997\/4.\nAnswer: 3*(r - 111)*(r - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -193 - -44. Let n = a - -149.073. What is n rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = f + 12, -5*f + 10*r - 6*r + 4 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3835*y - 272 - 3834*y + 272.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 11*d - 1. Calculate a(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**4\/12 - 4*m**3\/3 + 2*m**2. What is a(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Let o(p) = -p**3 + 10*p**2 + 13*p - 18. Let f be o(11). Find the second derivative of m*w**4 + 0*w + 0*w + f*w wrt w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, p: 1, k: 8, g: 2, w: 5}. Give prob of picking 1 p and 3 w.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 359316 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 2803\/19?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexxxex. Give prob of sequence eee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -10. Let a(p) = 0*p - p**2 - 6*p**2 + 5*p + 3*p**2 + 5. Let k(q) = 10*q**2 - 12*q - 12. Give c*k(n) + 12*a(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + sqrt(108)\/sqrt(12) - sqrt(36))\/(sqrt(1200) + 1*sqrt(1200)) + ((sqrt(48)\/sqrt(4))\/sqrt(4))**2 + ((sqrt(3) + 2)*1 - sqrt(3)).\nAnswer: sqrt(3)\/40 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -115*0.02\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeuuqeqquu. Give prob of picking 2 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 2138.6.\nAnswer: -12831.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znnndzznwdzzzz. What is prob of picking 2 z?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1848)\/(-6) - (-30)\/5. Let m = 319 - n. Calculate the highest common divisor of 65 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 + 6394*a**2\/5 - 177856*a\/5 + 1242248\/5.\nAnswer: -2*(a - 3169)*(a - 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (46 - (7 + -8))*7 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -26 + 1. Let p be 36\/(-21)*(-21)\/6. Suppose 2*t - p = -0. Calculate the least common multiple of t and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 4\/1 - -11. Suppose -w = -4*i + 5*b + 80, -3*b = 12. Let z = 149 + -64. What is the greatest common factor of i and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -2, -0.68, -33, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 + 21*u**3\/2 - 4*u**2 - 654*u + 2448.\nAnswer: -(u - 17)*(u - 6)**2*(u + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/738 + (-352)\/3157?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 1 - 19. Let i(r) = -t*r**2 + 4*r**2 + r**2. Let v(h) = -2*h. Determine i(v(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1082983 bigger than -1082839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152749145 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**3 + p**2 + 0*p**3 + p**4 + 2*p**3 - 5*p**3 + 5*p**2 + 2 wrt p.\nAnswer: 24*p - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3161 and 1090.\nAnswer: 31610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 + 2*l**3 + 2 - 5)*(7*l + 2*l - 4*l)*(3*l - 4*l + 2*l).\nAnswer: -5*l**5 - 15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 12*n + 100. Determine c(18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.09134 - 0.09134. What is the fourth smallest value in k, -2, 0.1, 4\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5 - 3 + 10*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 126 in ascending order.\nAnswer: -4, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50839955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 0*d + 5*d**2 + (4*d - 2*d + 0*d)*(1 + d - 1) - 142*d**2 + 67*d**2 - 6 + 73*d**2 - 5*d.\nAnswer: 5*d**2 - 5*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 28 = 5*z, -4*t + 2*t + 26 = 4*z. Suppose 2*a + 258 = 4*m, -4*a = z + 4. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(sqrt(34) - (sqrt(34) + sqrt(2754)*2))\/sqrt(2) + 5.\nAnswer: -162*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -5*k**4\/12 + 10*k**3 - 90*k**2 - 7*k. Determine o, given that w(o) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111202.\nAnswer: 2, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 - 3*v**2 + 0*v**2)*((13*v - 60 + 60)*(v - 2 + 2) + (1 - 4 + 2)*(2*v**2 - v**2 + 0*v**2)) to i*v**2 + p + d*v**3 + k*v**4 + g*v and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 7*d**2 - 7*d + 9. Let p be x(6). Suppose -g = -0*g + 1, p*g = 5*j - 63. Suppose -i = -2*i + j. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43.1 + 43. Which is the third smallest value? (a) 1\/7 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51996, 104002, 156008, 208014, 260020?\n\"Answer: 52006*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -419675, -839358, -1259041, -1678724, -2098407, -2518090?\n\"Answer: -419683*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366327556 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4720272169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*q - 5, 5*q = n + 22. What is the third derivative of 3*j**3 + 0*j**2 + j**2 - 2*j**n wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 + 105. Suppose -d*i + 5*h = -6*i - 110, -3*i - 3*h - 282 = 0. Let l = -48 - i. What is the least common multiple of 10 and l?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89870 divided by -5\nAnswer: 17974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, i: 7}. Give prob of picking 2 h.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r. Let b(h) = 0 - 5 + 10 + 185*h - 1. Give i(b(f)).\nAnswer: 185*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/11 in -9, -1, -4, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 t when four letters picked without replacement from ftfktjtttfjafaktft.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -851062197.1486 + 6.\nAnswer: -851062191.1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -p - 12 + 13, 5*m + 3*p - 3 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/3 - -11\/6. Let s = -3.16 - -0.16. Which is bigger: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 115427.2661 and 487.\nAnswer: 115914.2661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-12)*(-4 + (-72)\/(-20)). Solve i + y + 14 = 5*p, -9 = -3*p + 4*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 6*j + 0*j)*(-3 - 3*j + j - j).\nAnswer: 21*j**2 + 21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 7278.\nAnswer: 21834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*g + 17 = 0, 90*l + 21 = 87*l + 2*g. Put l, -1, 53 in ascending order.\nAnswer: l, -1, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2 = -6. Let o(y) = y**3 + 25*y**2 + 31*y - 342. Let i be o(-23). Solve -4*k = 4*v - 4, -i*k = 4*v - z*v - 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10920103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/5 + 516*d**4\/5 + 67078*d**3\/5 + 132612*d**2\/5 + 66049*d\/5.\nAnswer: d*(d + 1)**2*(d + 257)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 19*g**3 + 15*g**2 - 13. Let i(k) = -12*k**3 - 10*k**2 + 9. Calculate -5*c(n) - 8*i(n).\nAnswer: n**3 + 5*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bav when three letters picked without replacement from abvabbab?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -219.8 - -14112?\nAnswer: 13892.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1012 and 6.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 5:01 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15 = -3*c. Suppose 22 = 5*z - 3*l, -2*z + 16 = c*l - 6*l. Let x(j) be the second derivative of -j**4\/6 + j**3\/3 - j**2 + 7*j. What is x(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -11 - -9 - 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*q - 491*q = -40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:58 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2507 in 0.48, -1\/8, 5, -2, 1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5833972 to the power of 1\/2, to the nearest integer?\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 10*v + 2. Let i(f) = -23*f - 5. Let z(t) = -9*d(t) - 4*i(t). What is z(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 8:44 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + s - 8 = 0, 80*u - 152*u + 3*s + 16 = -74*u - s for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, b: 2}. Give prob of picking 2 o and 1 b.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13022 + -39?\nAnswer: 12a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 16*a**2 + 30*a.\nAnswer: 2*a*(a + 3)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14438914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -719992*n**3 - 1646769*n**2.\nAnswer: -4319952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -200, -760, -2280, -5240, -10120, -17400?\n\"Answer: -80*c**3 - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -411 - 2000?\nAnswer: -2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144 + 200*p**2 - 111*p**4 + 2360*p**4 - 146 wrt p?\nAnswer: 53976*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -3 + 12\/(-32). Let v = -113 + 227\/2. What is the closest to v in -4, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/16*-6*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 93*a**2 - 4*a + 1. Let r be t(4). Let f = r + -790. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1018725 divided by 141\nAnswer: 7225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*y = 3*y - 11, 2*y - 53 = -5*a. Let g = -3 - a. Let o(l) = -l**3 - 10*l**2 + 22*l - 23. Let u be o(g). Solve q - u = 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from fsssisfo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8421 and 1290.\nAnswer: 3621030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754384157.\nAnswer: 37, 20388761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004659 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -180 - -181. Let r = 6\/35 + 3\/7. Which is bigger: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184 or 28\/9?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15806 and 660233?\nAnswer: 1490806114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 194*z - 2914. Give r(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -4c3474?\nAnswer: 4c3477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 17. What is the common denominator of -23\/9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 517 = -3*c. Suppose 14*b - 225 - c = 0. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(76) + sqrt(76)*1 - sqrt(76)) - sqrt(76))\/(sqrt(400)*-1 - sqrt(4)) + 2.\nAnswer: 5*sqrt(19)\/11 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2836)\/(-118) + (-334)\/9853. Solve 5*t = -a - 16, 12*t + n = 5*a + 11*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -259087\/40 - -6476. Find the common denominator of -67\/1252 and w.\nAnswer: 12520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 x when four letters picked without replacement from gggogaagxbxaggga?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -248, -1605, -2, 2 in decreasing order.\nAnswer: 2, -2, -3, -248, -1605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1480.94 - 1468. Let i = n + -13. Let r = i - -0.36. Which is the third biggest value? (a) 3\/5 (b) 1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*s - 24. Let f be 4 - ((-40)\/4 + -3 - s). Solve -3*r - 5*d + 10*d + 28 = 0, -f = 5*r + 5*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2004 by -2.\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 65. Let b = 31 - 51. Which is bigger: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*h - 3*l - 16 = 0, -5*l - 6 = 2*h. What is the third derivative of 2*p**h - p**6 + p**2 + 0*p**2 wrt p?\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29.08 and 52?\nAnswer: -1512.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 2.2. Let t be (-37)\/(-18) + 8\/(-36). Let l = 3\/2 - t. What is the smallest value in l, 5, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/45 and -9\/12550.\nAnswer: 112950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 2*q + 6. Let t(v) = 1. Calculate 5*t(w) - x(w).\nAnswer: -w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 102775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 4*w**2 - 3*w - 2. What is the least common multiple of 4 and g(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from {a: 2, b: 7}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 - -95.0584. Let q = j - 33.3584. Let t = q - -33. Put -1\/4, t, -1\/5 in descending order.\nAnswer: -1\/5, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - y**2 + y - 9. Let d(a) = -6*a**3 + 6*a**2 + 23*a + 31. What is d(h) + 4*j(h)?\nAnswer: 2*h**3 + 2*h**2 + 27*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -38*i + 2594. Let o be t(57). What is the greatest common factor of 2461 and o?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f**3 + 21*f**5 + 60*f + 5*f**3 - 11*f**5 wrt f.\nAnswer: 200*f**3 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.13 and -13?\nAnswer: 274.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 928*b - 5289 = 8485 + 2002 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 1:05 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z + 3816612 = 158*z + 163602. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42458 and -122.\nAnswer: -5179876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(-23)\/276*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 107059647 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuggutuuuuguagugaua. Give prob of picking 1 g, 1 a, and 1 t.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n + 9. What is s(8)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + sqrt(91)*1)*3 + -3*sqrt(91)*1)\/(-1*sqrt(252) - (sqrt(126)\/sqrt(3))\/sqrt(6)).\nAnswer: -3*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m - 6. Suppose 0 = 5*p + h - 37, -4*p + 21 = -3*h - 20. Calculate the lowest common multiple of p and l(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3481 at least as big as -3429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from ieeeiie?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o**4 - 2*o**4 - 3*o**4 + (-2*o**2 - o**2 + o**2)*(-5 + 5 + 2*o**2) + 202*o**4 - 57*o**4 + 423*o**4.\nAnswer: 566*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = 8*u - 28*u. Find the third derivative of r**5 - u*r**6 + 2 + r**6 + 51*r**2 + 16*r**6 wrt r.\nAnswer: 840*r**3 + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - ((-364)\/(-21) - (-7)\/(-21)) - -7. Let q(l) = -l**3 + 2*l**2 - 3*l + 2. Let h be q(3). Put h, -2, i in ascending order.\nAnswer: h, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-1)*36\/84. Let s(o) = 4*o**4 + 37*o**3 + 105*o**2 + 88*o + 12. Let m(v) = -2. Let l(n) = j*s(n) + 6*m(n). Let l(b) = 0. Calculate b.\nAnswer: -4, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 914150 = 25*d - 3*d. Is d a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -347 divided by -102329\nAnswer: 347\/102329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -368*o**3 + 1908*o**2 - 4000195*o?\nAnswer: -2208*o + 3816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*p - 12, -q - 31 = -6*q - p. Let z = 51 - q. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4 - 3 - k - k**3 - k**2 - 3*k**2 - k**2. Let r(v) = -v**3 - 5*v**2 - v. Let g(d) = -4*h(d) + 3*r(d). Let f be g(-4). Solve 4*y + f = -4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8360 and 143074712?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from vdvvndnnvegvdn?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 2452*r**2 - 178088*r - 1127840.\nAnswer: -4*(r + 7)*(r + 76)*(r + 530)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 12. Let q be -3*4\/(-12) - -4. Let i be m(q). Is 18 a factor of (59 - (1 + 2)) + i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230548 is divided by 20460.\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + 164\/40*10. Solve -6 = 2*q + 2*a, -5*q + 3*a + 0*a - n = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345416417 to the power of 1\/3, to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let p be (-4)\/(-14) - (-104)\/28. Let c(u) = -u - 2*u - 3*u + p*u. What is n(c(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*b + 12. Let h(g) = 0 + g + 0 - b. Determine h(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 2182.\nAnswer: 2185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-40)\/(-16)) + 15\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1053.34 + 1024. Let d = -29 - g. Let y = d - 0.04. Which is the third smallest value? (a) 2\/3 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 10. Let b(d) = -h*d - 6 + 6. Let j(w) be the first derivative of -w**3 - 3. Calculate j(b(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g + 5272 = -604*g - 10978 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5206 is divided by 1716?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -17*s + 5. Let n be o(-3). Calculate the greatest common divisor of 140 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/162*123*120\/18040?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9009 and 411425.\nAnswer: 420434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 757348*h**5 - 17*h**4 + 60072620*h**2 wrt h?\nAnswer: 45440880*h**2 - 408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, g: 7}. Give prob of sequence gll.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6841.\nAnswer: 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189 is divided by 299?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 78 + 53 = 0. Suppose -94 = -o*f + 1. What is the first derivative of 70 - f*t**3 - 143 + 60 wrt t?\nAnswer: -57*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4371?\nAnswer: 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*1\/(-1)*6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490878*c + 490896*c + 490900*c - 1472729*c.\nAnswer: -55*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/36*(2 + 0) and 107\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 2*n = 10 + 1, -4*n = -2*i + 2. Put i, -5, 76 in ascending order.\nAnswer: -5, i, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 12, -217, -27, -2, 3 in decreasing order.\nAnswer: 12, 3, 2, -2, -4, -27, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 740 - 740.2. What is the second smallest value in 0.5, 7, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -r + 6. Differentiate -11*i**2 + 2*i**r + 335 - 332 wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 106 = -26*y. Let r(x) = 6 - 2*x**3 + 107*x - y*x + x**3 + x**2. Let k = 4 + -4. What is r(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3442 - -4479. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/23421315 and 73\/90.\nAnswer: 140527890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.069 + -6.1. Is l <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -16363032.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1232 + -166537176\nAnswer: -166537175.8768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (15 - 10) - -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -20*w + 21*w**2 + 17*w - 1 + 2. Is l(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/1 - (2 + -3). Suppose 0 = 8*a - q*a - 150. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10301, -20692, -31179, -41762, -52441, -63216?\n\"Answer: -48*b**2 - 10247*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (0 + sqrt(1300) + sqrt(1300))*-3) + -6*(sqrt(1300) + 2) - (4 + (1 + sqrt(13)*-1 + -1*sqrt(13)*5)*2))**2.\nAnswer: -792*sqrt(13) + 6616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f**2 + f)*(f - f + f)*(2 - 4 + 1).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5876051012 to the nearest integer?\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 248\/(-155)*(-25)\/4. Let z(u) = u + 12. Let q be z(-9). Let l be (q\/1)\/((-12)\/(-32)). Do l and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -c + 442, -6*l + 11*l + 2170 = 5*c. Let n = c - 107. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-9)\/18)\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9 - -1.4. Sort 0, a, -0.4 in ascending order.\nAnswer: a, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0*i - i)*(5485*i**4 + 2983*i**4 - 1937*i**4).\nAnswer: 13062*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q = -3. Suppose -2 + 3 = w. Suppose q + w = -2*m + 5*n, -5*m + 36 = -n. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*k - 17273, -23*k - 5735 = -n - 18*k. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {r: 5, i: 2, e: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/25)\/(r**2*r))\/(r**(-16))**(10\/9) assuming r is positive.\nAnswer: r**(3343\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196891 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiyioqv. Give prob of picking 1 o, 1 y, and 1 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14323890.38 rounded to the nearest 1000?\nAnswer: 14324000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 5*a**2 + 7*a + 8. What is q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3334 - -3367. Calculate the highest common divisor of c and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457553 is divided by 1809.\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from lllkllkl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.61? (a) 38 (b) 4 (c) 0.02 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o**2 - 6*o**2 - 4*o**4 + (-o**2 - o**2 + 4*o**2)*(-2*o**2 + 2*o**2 + 2*o**2) - 1 + 1 - o**4 + (7*o**4 + 3*o**4 - 3*o**4)*(4 - 3 + 1).\nAnswer: 13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.63 (b) 7\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-23)\/322*6\/(96\/8)*12\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -3\/2 (c) -6 (d) 0.06 (e) -0.2 (f) 1\/7 (g) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109 and 545?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**8\/672 + f**7\/420 + f**6\/240 - f**5\/120 - 4*f**2. Factor o(j).\nAnswer: -j**2*(j - 1)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16450129.\nAnswer: 23, 715223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 921449 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o = -o. Suppose o = -7*z - 2*z + 18. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1, -0.195, -9\/5, 4, 6, 5\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 1.13.\nAnswer: -0.4, 1.13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2070 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.3 - 6.4. Let h = 4.4 - n. What is the smallest value in -0.1, h, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1365, 2713, 4061, 5409?\n\"Answer: 1348*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 125 - i**2 - 16 to the form u + h*i**2 + c*i and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4363982\/9 - -487808. Let z = -2924 + p. What is the common denominator of 13\/10 and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-264)\/36)\/((-2)\/3). Let y = s + -6. Solve 2*t - 3*t + q - 5 = 0, -t + 5*q = y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v**2 - 98*v + 63*v + 39*v. Let l(b) = 7*b**2 + 4*b. Give 6*j(r) - 5*l(r).\nAnswer: r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z*z)**(21\/4)\/(z*z\/(z*(z\/(z\/(z*z**10)))\/z)*z**(-6)) assuming z is positive.\nAnswer: z**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 15. Solve 2*i = -p + 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**4\/24 + z**3\/6 + 6*z**2. Give q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4416893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 9 + 4)*(-6*p**2 + 3*p**2 + 1 + 0) + (-p - p + 4*p)*(42*p - 10*p + 10*p) as m*p + k*p**2 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 3*t + 8*t + (-2 - 2 + 3)*(-t + 3*t + 0*t) - 4*t - 2*t + 4*t - 39*t + 45 - 45 + (5 - 4 - 2)*(0 + 0 - t) + (-1 + 2*t + 1)*(3 + 0 - 1).\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*g - 21*g**4 + 71*g + 16*g**4 + g**2 - 25*g**4 + 1 to the form j*g**2 + i*g**3 + u*g + c*g**4 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 9. Let k be 21 + (-3 - u) + -2. Let t = k + -16. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14 + -14)\/(-1 + 0) - 1. What is the remainder when 2\/6 + y - (-805)\/15 is divided by 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 140 + 22. Let z = -14 - -11. Let y be 25 + (-2)\/(-6)*z. What is the highest common factor of d and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*x = 0, -i - x + 4*x = 0. Find the first derivative of -t**3 + 50 + t**3 - t**3 + i*t**3 + 17*t wrt t.\nAnswer: -3*t**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 30*p**4 - 16*p**4 - 12*p**4 - p**2 + p to t*p**3 + q + x*p + n*p**4 + b*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13901, 58057, 131651, 234683, 367153, 529061?\n\"Answer: 14719*v**2 - v - 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5*m**2 - 3 + 2 - 13*m**2 as q*m**2 + n + h*m and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyeooebteyeo. What is prob of sequence yt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - -1.97. Let m be (-4)\/6*(-438)\/(-4). Let z be (-2)\/(-13) - m\/(-52). Which is the third smallest value? (a) -5 (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.9 - 3. Let c = l - 2.9. Is c bigger than 5.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -807804 divided by 42516.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = l + 31, -572*l = -576*l + 3*f - 33 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 13*q**3 + 23*q**2 - 444*q - 14. Let m(s) = 9*s**3 + 15*s**2 - 315*s - 9. Let t(a) = -7*m(a) + 5*p(a). What is t(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39*o - 54*o + 80*o)*(-189 + 2*o + 189)*(-2*o + o - o) to the form u*o + z*o**3 + g*o**2 + y and give z.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 + -2. Let g = 278 + v. Suppose -2*s + 81 = i, -5*s - 3*i + 5*i = -g. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b**5 + 2*b**4 - 2*b**4)*(0 - 11 + 3).\nAnswer: 72*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 273871818*g**4 + 1166*g**2 - 383*g + 29?\nAnswer: 6572923632*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/4 (c) -0.11 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*n**2\/15 + 106*n\/3 + 1148\/15.\nAnswer: 2*(n + 14)*(16*n + 41)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*b**3 - 213*b**3 + 97*b**3 + 67*b**2 + 89*b**3 - 67*b**2 - 84*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 292 = -12. Calculate the remainder when 45 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 2)*(23 + 31 - 96) - 4 + 1 + 2 + 2 - 1 + 1)*(-b**4 + 0*b**2 + 0*b**2).\nAnswer: -85*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -49867?\nAnswer: -49866.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 14697462321719\nAnswer: -14697462321721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*h - 138*h - 85750 = 473*h + 893*h for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - m**3 + 2*m**3)*(-2*m + 2*m - m**2) + (-4*m**5 - m**5 + 4*m**5)*(0 + 0 - 7).\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5120*m + 21485 - 65114 = 33171 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4\/5 - 196*b**3\/5 + 914*b**2\/5 + 111024*b\/5 + 820512\/5 = 0.\nAnswer: -12, -11, 37, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 24*c - 21*c + 22. Sort c, -93, 5\/4, -4 in increasing order.\nAnswer: -93, -4, 5\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -7, -13, -31, -67?\n\"Answer: -a**3 + 3*a**2 - 2*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1812519 - 2*w**2 + 1812437 - 3624956.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, 3, 1, 0.5 in decreasing order.\nAnswer: 3, 1, 0.5, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000893149 to six dps.\nAnswer: 0.000893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 - 6*f**2 - 2*f - 4. Determine i(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637567.\nAnswer: 7, 91081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*l = 920, 3*l + 3 + 0 = 0. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*l + 11494 - 5423 = -361*l - 4597 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 8:04 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*l + 46*l + 2. Which is the closest to l? (a) 0.3 (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 + -70b07?\nAnswer: -70b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 118410404 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 568*s**2 + 880*s**2 + 571*s**3 + 226*s**2 + 321*s**3 + 148*s**3 wrt s?\nAnswer: 6240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1781397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -s - 823, -2*h - 67 = -5*s - 456. Let b be 46\/h + (-6091)\/(-9). Suppose -i - 3*n = -b, 4*i + 4*n = 3*i + 673. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) 1050 (c) 0 (d) 4 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75018020 is divided by 1768?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10.2 + 5136587\nAnswer: 5136576.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927478629?\nAnswer: 3, 7, 11, 137, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401034 is divided by 747.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9805556*z**3 + 9297737*z?\nAnswer: 58833336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0. Let k(n) = 58*n + 178. Let s be k(-3). Let x = i + s. Solve -3*p = x*d + 3, 3*d + 41 = -2*d + 4*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(5472) - sqrt(38))\/(5*sqrt(8)))**2.\nAnswer: 41971\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 3*d - 7 = 0. Let h be 4\/6 + (-40)\/(-3). What is the units digit of -3*d + h + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 + -152. What is the remainder when 42 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**3*t + 3*j**3 + 308*j**2*t - 13782*j**2 - 53*j*t + 3*t + 7 with respect to t.\nAnswer: -3*j**3 + 308*j**2 - 53*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.8371ug to nanograms.\nAnswer: 90837.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and -6448.009466559.\nAnswer: -6441.009466559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(8 - 2)*-12. Find the second derivative of 3*u**4 + 4*u**4 - 5*u**4 - c*u wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/7257236 and -105\/7268?\nAnswer: 573321644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412 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 w = 2 + -1. Let g(f) be the first derivative of -5 + 7*f + 0 - f**3 - 6*f. Determine g(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10223 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139458, -139672, -139886?\nAnswer: -140100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 2. Let k be x(3). Let s be (-2)\/k - 150\/35. Let w(t) = t. Let j(z) = 4*z. Let y(o) = s*j(o) + 14*w(o). Let l(u) = 12*u**2. Calculate y(l(b)).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11201 (base 9) in base 2?\nAnswer: -1110100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 569*u - 4*u**2 - 423*u + 2 + 2*u**2 + 2*u**3 to the form j*u**2 + t*u**3 + g + q*u and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2 and 15\/19384.\nAnswer: 19384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-3 + 3)) + -62 + 57.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 237 + -242. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559589 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(2760\/(-270))*4\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18586 + -562?\nAnswer: 18024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -14cf?\nAnswer: -14cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2. Let y(k) be the third derivative of -5*k**7\/1008 - 3*k**5\/20 + 6*k**2. Let d(i) be the third derivative of y(i). Determine d(c(t)).\nAnswer: -50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/50 + -35*(-91)\/19500. Which is the fourth biggest value? (a) s (b) -1 (c) -21 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (240567 - 240567 - 1285*z + (-3 - 4*z + 3)*(2 - 4 + 3) - 1 - 2*z + 1)*(-2 + 0 + 1) as i*z + q and give i.\nAnswer: 1291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 12:08 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**3 - 7*j**2 - 7*j - 11. Let r be k(-4). Let f = r + 0. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 58982367 + 2*x - 5*x + 2*x + 58983186.\nAnswer: -2*x + 819","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1838583 divided by 612861.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 25*a = 13*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19546456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 24 = 5*t, b + 4 = -4*t + 25. Let n(y) = 4 + 49*y**2 - 50*y**2 - 4 + 6*y. What is n(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -402.4 + 402. What is the closest to -19 in 1\/4, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1586*a - 73047. Calculate v(-46).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -3, 3, -4.\nAnswer: -4, -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1386)\/(-35) - (-3)\/(-5).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 908246 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 12*y**2 - 7. Let n(j) be the first derivative of -3*j**2\/2 - 24. Determine b(n(m)).\nAnswer: 108*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 246*m - 251*m. Solve 0 = -0*y - y + 5*d - m, 0 = 5*y - 4*d - 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3910 and 80546.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + (-24 - -7))\/(-2). Solve 4*q + 2*a + 20 = 0, -2*q + 3*q = -2*a - y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 10230 = 15*l + 7*l. Which is bigger: -0.6 or l?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -242\/75 + 7219\/2400. Suppose -4 - 1 = 5*b. Is b at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/(-25)*(34 + -35) and 38\/275?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {f: 4, w: 6, y: 1}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n - 9*n + 0*n**2 + 3*n**2 + 3 = 0. Calculate n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -189609*r**2 - 5*r - 1. Let q be i(6). Suppose -2*w - 11948091 = -n, 14*n - 12*n = 2. Let g = w + q. What is g rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b - 5. Suppose 0*i + 5*l = i + 20, 4*l = -5*i + 45. Suppose i*k - 4 = -2*n, 5*n + k + 0*k = 56. What is the remainder when s(5) is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -376782*a**2 - 219*a - 63?\nAnswer: -753564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(24\/21)\/(76\/133*1).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 67338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -15, -7, 1, 9, 17?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -81 (b) -3 (c) -6 (d) -0.06 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(63) - (sqrt(252) + 0)**2.\nAnswer: -252 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + -6)\/(-1 - -2). Let p(a) = a**3 - 16*a**2 + 14*a + 19. Let k be p(15). Suppose -y + m + k = 0. Are y and 6 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/4 of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/9 and 43\/271689?\nAnswer: 815067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5214 > -464035\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-24)\/(-2 + -2). Suppose z*v - 2*v = 12. Let c(n) = 5*n + 17. What are the prime factors of c(v)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:06 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 27963*q + 27968*q + 6, 2*b - 6 = -2*q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {t: 5, i: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((4*195\/(-12012))\/(10\/4))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.6 + 14. Let f = 9.4 - s. Let m = 8.03 - f. Round m to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -124 and -131 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 - -0.27. Put j, -2\/5, -3 in increasing order.\nAnswer: -3, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + (-15 - -15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8 take away -0.7?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -893 - -1415. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 438992 and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3530a0a + 0?\nAnswer: 3530a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 11:20 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.016, 4, -66, -29.1 in descending order.\nAnswer: 4, 0.016, -29.1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + q = -5, -c - 382 = 3*q - 411 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142125 (base 7) to base 11.\nAnswer: 19456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 5:09 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1141671887 take away 26?\nAnswer: -1141671913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 4:06 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1408*0.43421.\nAnswer: -611.36768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 4693796?\nAnswer: 122038696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 390632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.034 (b) 1\/48 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 826226*i**3 + 3611*i**2 + 29*i.\nAnswer: 4957356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*p - 13*p - 79420. Suppose -2293 = -9*i + p. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83900 (base 10) to base 3\nAnswer: -11021002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000 + -11000?\nAnswer: -10110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(6 - 2) + 1*-3. What is the units digit of (1 - m\/2)*(-189 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 83*n - 1092 = -15*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 3.611.\nAnswer: 7.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 8. Let l = 24 - 24. Determine t(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**6\/12 - 17*g**5\/2 - 41*g**4 - 54*g**3 + 9047. Factor h(s).\nAnswer: -s**2*(s + 2)**2*(s + 81)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793090 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2 + 1 - 3 + 1. Let x(s) = s**2 + 5*s - 1. Let h(j) = 3*k(j) - x(j). Let f(i) = -7*i**3 + 2*i**2 - 5*i + 3. Let y be f(1). What is h(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475859 divided by -475859?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z - 135 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 - 706*f - 110. Let a(h) = 3*h. What is i(a(q))?\nAnswer: 27*q**2 - 2118*q - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:05 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2093756?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(0 - 4) + (32\/(-8) - -4). Sort -1, -6, 5, h in descending order.\nAnswer: 5, h, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = c, 3*i = -0*c + 3*c - 18. Let q be (6 + i + 434)\/(2\/500). What is q rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 16) to base 15\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.69 + -20.49. Let z = i - -18.80819. What is z rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 243232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4974 at least 4974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 5*c**2 + 2*c**2)*(-c + 2*c + 0*c + (-5 - 1 + 4)*(1 - 1 + c) + 3*c - c - 3*c - 4*c + 4*c + c)*(3*c**2 - 6*c**2 - 8*c**2)*(-3 + 7 - 1).\nAnswer: -132*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 40 * -6\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -264 + 267. Suppose -2*m + 849 = -h*t + 120, -2*m - 486 = 2*t. Round t to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + w**2 + 63*w - 102. What is n(6)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, -0.32, -10, 3\/8 in ascending order.\nAnswer: -10, -2, -0.32, 0.2, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4198*t - 4226*t + 247688. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -12 - (0 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460 - 460 - 43*w.\nAnswer: -43*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/5*((-4)\/2 - -2). Let d be (u + 3)\/18 + (-195)\/(-18). Calculate the highest common factor of 99 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -18. Suppose -6*w + w = 5*g - o, 2*g - 8 = -w. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/11*h**3 - 91\/11*h**2 - 280\/11*h - 188\/11.\nAnswer: (h - 94)*(h + 1)*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90859*z + 14198 with respect to z.\nAnswer: -90859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10177*o + 807*o - 19597 = 102213 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.173 + -0.203. Let m = 2.96 - 3. Let h = u + m. Which is smaller: 1\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11831 rounded to 3 decimal places?\nAnswer: -0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 4*h**2 + 6*h + 4. Let x = -10 + 5. Determine l(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92727+-5546341\nAnswer: -5639068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 831 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*v + 9. Suppose -6 = -w - n, -6*w - 3*n + 11 = -v*w. Solve -10 = 9*s - w*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 59.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*d**2 + 0*d - 4*d - 1 + 30*d**2 in the form m*d**2 + l*d + c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5026975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 3. Suppose 5*f + 308 = 3*l, 5*l = -4*f - f + 460. Let q = -53 + l. Calculate the remainder when q is divided by d(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6977*j**4 - 3 + 0 + j - 7*j**3 - 6975*j**4 + 2*j**3 - j**4 - 2*j**3 + 0*j**4 - j**4 - j**4 + j**4 - 5*j**4 + 3*j**4 + (4*j - 4*j + j**3)*(-2*j + 0 + 0).\nAnswer: -4*j**4 - 7*j**3 + j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -225, -315, -403?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -679? (a) -6 (b) -2\/15 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100269739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 119623351 to the power of 1\/2, to the nearest integer?\nAnswer: 10937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 6\/10 - -2. Let r = -508.2 - -508. Which is the biggest value? (a) j (b) -2 (c) -3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 + 3326*q + 36465. Give z(-11).\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 175, 693, 1813, 3781, 6843, 11245?\n\"Answer: 41*m**3 + 55*m**2 + 66*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + a + 2*a + 4)*(2*a + 25 - 27 - 11*a)*(0 + 0 - 1)*(0 - 2 + 1).\nAnswer: 9*a**2 - 34*a - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.53316192 rounded to one dp?\nAnswer: -19.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 34, -4 in decreasing order.\nAnswer: 34, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, k: 2, r: 1, b: 2, n: 4}. Give prob of sequence xkr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*i**2*z**2 + 4958*i**2 + 1180380*i*z - 72*i - 4 wrt z?\nAnswer: 16*i**2*z + 1180380*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*a**6 + 2*a**4 - 22*a**3 + 16983*a**2 wrt a.\nAnswer: 1920*a**3 + 48*a - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 0 - 37\/6*t**3 + 21*t + 0*t**4 + 11\/5*t**5 + 0*t**2. What is the second derivative of d(q) wrt q?\nAnswer: 264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.6, -1\/5, 3, 5 in increasing order.\nAnswer: -1\/5, 1\/3, 0.6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -189\/95 - -473\/190. Let 1\/2*w**2 + 0 - z*w**3 + 3*w = 0. What is w?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180 + 175. Suppose 0*z = 5*z - 5. Sort d, z, -2.\nAnswer: d, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 6. Let c be t(-4). Suppose 0 = 2*j - 2*a - 3 + 1, -4*j + 10 = c*a. Find the third derivative of -2*i**6 + i**6 - 2*i**2 + 3*i**j wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + y - 6 = 0, 2*y - 47 = 7*z + 5*y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 35*v + 74. Let m be g(-2). Solve 14 - 2 = -m*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -106, -292, -508, -754, -1030?\n\"Answer: -15*r**2 - 141*r + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eawweewnvvnwwnwuw. Give prob of sequence wwa.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*((-4)\/2)\/4. Let x be (-2*(-1)\/(-6))\/(121 - 120). What is the nearest to 2\/7 in 2\/11, j, x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:07 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 11*s - 1. Calculate the lowest common multiple of 6\/s*8\/6 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, -2805, -9420, -22303, -43542, -75225, -119440, -178275?\nAnswer: -253818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21896 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: What is the derivative of 4*o**3*s**3 - 6*o**3 - 37*o**2 - 50*o*s**3 wrt s?\nAnswer: 12*o**3*s**2 - 150*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5700000*o**3 - o**2 + 1. Let f be k(-1). Round f to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16051, 32093, 48135, 64177, 80219, 96261?\nAnswer: 112303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 106, -4\/5, 0, 0.3, 80154?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-138)*(-6 - (-182)\/35)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) 0.08 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6834 less than -6880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t**(-5\/4)\/t))\/t)\/t**(-2\/7))**24 assuming t is positive.\nAnswer: t**(594\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**4 - 427640*i**3 - 9144653720*i**2 - 36573483360*i - 36571772880 = 0.\nAnswer: -42762, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6121936?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2502 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 8 = -2*v, 2 = -4*r + v + 6. Suppose r = -9*k + 106 + 236. What is the highest common factor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6505381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*p - 2)*(-4 - p**4 + 4) + (-p + 2*p - 3*p)*(1465*p**4 - 3247*p**4 + 481*p**4).\nAnswer: 2604*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n**2 + 0*n**2 - 10*n**2 + n**2 + 2*n**2. Let a = 1 + 10. Let f(v) = a*v - 2 + 2 + 0. Give u(f(p)).\nAnswer: 242*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l - 14*l + 32*l**2.\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 57736845 to the power of 1\/3, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.8028 to 1 decimal place.\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 23*k + 26. Let r be -1 + 21 - (5 + -8). Let t be m(r). Let v = 31 - t. Solve 1 = i + v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p**3 - p**2. Let r be 1 + (-2 - (13 - 4)). Let t(s) = s**2 + 2*s - 4. Let i be t(r). Let z be i\/57 - (-1)\/(-3). Calculate l(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 < -345\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123130404431 + 3?\nAnswer: -123130404423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.319651962 rounded to five dps?\nAnswer: 0.31965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(5))*6 + (3 + sqrt(5))*-2 - ((sqrt(240)\/sqrt(8))\/sqrt(6) - (-2 + sqrt(320))))**2.\nAnswer: -308*sqrt(5) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2454711 and 574.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(343) - (-1 + sqrt(343) + -1)) + sqrt(343))**2 - (sqrt(343) - ((-2*sqrt(343)*1)**2 + sqrt(343)))) + -2 + 0.\nAnswer: 28*sqrt(7) + 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-760)\/(-1254))\/((-45)\/18*14\/(-21)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-1))\/(((-66)\/68)\/11). Suppose y - 2*y + 8 = -c, 5*y - 3*c = t. Suppose -4*r - 2*s = -0*s + 18, 5 = -s. Put r, 1, y in decreasing order.\nAnswer: y, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100224620 rounded to the nearest 1000000?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/10 (b) 1\/3 (c) 2.7 (d) 0.036 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4202018 - -366.869.\nAnswer: -4201651.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 3231, 148 in decreasing order.\nAnswer: 3231, 148, 18, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 - 8*d - 13. Let o(w) = -2*w**2 - 4*w - 7. Let h(m) = 3*i(m) - 5*o(m). Let a be h(6). Solve -9 = -2*j - 3*x, 4*x - a = -5*j + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.5 (b) -0.4 (c) -329.23 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m**2 - 9*m - 10. Let t(u) = 15*u**2 + 18*u + 21. Let o(l) = -9*q(l) - 4*t(l). Solve o(g) = 0 for g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 35*y - 150 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 670 - 66. Let b be n\/10 + 4\/(-50)*5. What is the highest common divisor of b and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*r - 28*r = 15 + 99. Factor 26\/3*i**3 + 70\/3*i**4 - 98\/3*i**5 + 2\/3*i**r + 0 + 0*i.\nAnswer: -2*i**2*(i - 1)*(7*i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 2. Let l be g(-4). Suppose 5*b - l = 6*b, -26 = 2*c - 3*b. Let w = 14 + c. Put -3, -4, w in decreasing order.\nAnswer: w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -162, -243, -340, -459, -606?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1263, 1284, 1293, 1290, 1275, 1248?\n\"Answer: -6*v**2 + 39*v + 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*s + 27068 = 0, 17776 = 5*w - 3*s - 16081. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88685.9736 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 1 = 12*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, s: 2, o: 1, a: 3, i: 5, r: 1}. What is prob of sequence anr?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -14*f - 5. Let l be i(10). Let w = 149 + l. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-14))\/(1\/((-12)\/9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*g - 31 - 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6865 + -5?\nAnswer: 6860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -10. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -21*b**3\/2 + 291*b**2 + 84*b = 0.\nAnswer: -2\/7, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*i**4 - 4*f + 13964*i**3 + 10*i - 48 wrt i?\nAnswer: 36*f*i**2 + 83784*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16567004?\nAnswer: 2, 29, 251, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -42*k**2. Let o(s) = -2381*s**2. Give o(i(d)).\nAnswer: -4200084*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-74)\/3)\/(2\/12). Suppose -35 - 67 = -3*z. Let d = z + n. What is d rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -42*m + 397. Let p be k(9). Calculate the greatest common factor of 19703 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*f + 18 = 0, 3*z - 357*f + 168*f + 16 = -187*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-5 - (-4 - -1)). Suppose -i*m + 0*m + 4 = 0. Let k(f) = -3*f - m*f + 3*f. Let n(d) = -6*d**2. Calculate n(k(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*m - 2*m - 3*q, 0 = -m + 4*q + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -63, -149, -285, -465, -683, -933, -1209?\n\"Answer: x**3 - 31*x**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 66029045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5470178*m. Let y(l) = 3*l**2. What is y(i(f))?\nAnswer: 89768542055052*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 1015933?\nAnswer: -8\/1015933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 129437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 57 = 4*f - l, -5*f - 63 = -4*l. Let i = f - -8. What is the units digit of 1\/3*(i - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9944516.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:03 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o - 26*o + 1820 = 0. Calculate the greatest common divisor of o and 4564.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 1:33 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -241*b*g**3 - 3*b*g**2 + 3*b*g + 4*b - 40204*g**3 + 3*g**2 - 29*g - 2 wrt g.\nAnswer: -1446*b - 241224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.12, -339.65?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54218 + -54216. Factor 16*l - 1\/2 - 128*l**m.\nAnswer: -(16*l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9732937219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*a**4 - 191*a*s**2 + 9*s**2 - 115 wrt a.\nAnswer: 16*a**3 - 191*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.820041ms to nanoseconds.\nAnswer: 5820041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2980*j. Let z(g) = -2*g - 103. Determine z(f(x)).\nAnswer: 5960*x - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/13)\/a*a**19)**(-48) assuming a is positive.\nAnswer: a**(-11328\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9009292ms to minutes.\nAnswer: 0.00004834882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(54) - (sqrt(54) + sqrt(216))) + 1*sqrt(12)\/sqrt(2)))\/((sqrt(20)\/sqrt(2)*4)\/sqrt(5)*5).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 + 3*l**2 - 2. Let n = -82 + 83. Let b be m(n). Solve -2*p + 0 = b*t - 2, 2 = -t + 2*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 - 131?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 4*a + 4. Let q be (3\/(-2))\/(9\/84). Let i = -11 - q. Let d be o(i). Let v(u) = 3*u - 1. Calculate v(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*q, -304 = -x - 4*q + 368. Let j be 8\/((-32)\/x) - -4. Let h = -98 - j. Calculate the greatest common divisor of h and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - n + 2)*(-3 - 2 + 4)*(-3*n + n + 5*n)*(-n**3 + 3*n**2 - 3*n**2).\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**3\/15 - 11*a**2\/10 - 6*a - 354. Factor d(m).\nAnswer: -(m + 5)*(m + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(20\/(-8)))\/((-2)\/(-180)). Let z = i + 248. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/840*-5*2\/(-4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence paz when three letters picked without replacement from {p: 1, e: 1, n: 2, a: 1, z: 1, k: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most as big as -73737306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(1\/19)*m))**(-21) assuming m is positive.\nAnswer: m**(21\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 171*u**2 + 8 - 169*u**2 + 3*u - 20 as c*u + p + s*u**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 2*x**7\/7 - 5*x**6\/2 - 2*x**3\/3 + 5*x - 43. Find the third derivative of y(n) wrt n.\nAnswer: 240*n**3 - 900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 5*s**2 - s - 1. Let u be p(-5). Solve u*d + 31 = 5*w, -11*w + 8*w + 4*d + 25 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441 and 3250611.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*y - 30 = 0, -8*y - 15 = -r - 7*y. Suppose -3*u + 2*b + 171 = 0, -4*u = 2*b - 3*b - 228. Calculate the remainder when u is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014004462398 rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 1 = -5*d, 7 = -3*i - 4*d - 0*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 6d37c?\nAnswer: -6d381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 3767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*d - 75*d - 2465 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*n**3 + 2*j*n - 4097226*j + 187777*n**2 - 2*n wrt n.\nAnswer: -3*j*n**2 + 2*j + 375554*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2188 and 26.\nAnswer: 28444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/315)\/(2\/5))\/((-756)\/(-588)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a - 4?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 104410 (base 5) to base 12\nAnswer: 21aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182202596?\nAnswer: 2, 23, 83, 107, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.8 + -9.5. Let v = f - -2.5. What is the biggest value in -2\/13, v, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 minus -11478280?\nAnswer: 11478280.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(11))**2 + sqrt(11) + (sqrt(11) + -1 + 3)**2.\nAnswer: 5*sqrt(11) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 20 = -8*a + 3*a, -4*x - a = -7. Let g(b) be the second derivative of b**4\/12 - 2*b**3\/3 - b**2 - 2*b. Let w(t) = t. Calculate x*g(z) + 2*w(z).\nAnswer: z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/75 and -4\/87.\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74470124?\nAnswer: 2, 157, 118583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558462 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 176 (b) -1\/6 (c) -3\/4 (d) 3787 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 5, n: 1, m: 3, z: 1, r: 1}. What is prob of sequence rl?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33*(0 + 3)*(11 - 2). Calculate the greatest common factor of 108 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946*r - 2*r**2 - 13*r**2 - 1885*r + 2*r**2 + 940*r.\nAnswer: -13*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 12. Put l, 21, -1 in decreasing order.\nAnswer: 21, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 869208 and 869208.\nAnswer: 869208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -152\/15, -13, -1\/6 in decreasing order.\nAnswer: -1\/6, -152\/15, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-63)\/(-28))\/9)\/(12\/6)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*l = 25. Suppose -27 - 12 = -3*k + 3*b, 51 = 4*k - l*b. Calculate the remainder when k is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 514*o**4 + 9246*o**3 + 17882*o**2 - 151326*o + 1764 = 0?\nAnswer: -14, -7, 3\/257, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 784 and 60.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(-30)\/2*65\/(-26). Suppose -9 = -3*x + t. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 11:55 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 60895*g. Let z(w) = -w**2 - 10. Calculate z(h(d)).\nAnswer: -3708201025*d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -1\/9*g**3 + 6 - 3*g + g**2. Factor n(w).\nAnswer: -(w - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 9, 0, 1\/3, -0.1 in decreasing order.\nAnswer: 9, 1\/3, 0, -0.1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 307791 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 - 72*q - 322. Let r(z) = 4*z**2 + 72*z + 321. Let o(n) = 2*r(n) + 3*v(n). Suppose o(x) = 0. What is x?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7897872 divided by 35576\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -7 - -1) + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 5788?\nAnswer: 5783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**2 - 14. Let b(n) = 7*n. Determine t(b(m)).\nAnswer: 490*m**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-7 - -29)) + 6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m + 1 - 3*m)*(3*m**4 - m**4 - m**4).\nAnswer: -m**5 + m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -2 - -7) + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2306 and 37\/248.\nAnswer: 285944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjjtjttjttttjtttjt. Give prob of picking 2 j.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -258, -383, -568, -819, -1142, -1543, -2028?\nAnswer: -2603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21 + -21)*3*(-9)\/(-189). Solve -g = -5*j + 4 - 13, y = j - 2*g - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.069 * -154.\nAnswer: -10.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2.6. Let z be 10 + (-76)\/14*2. What is the closest to -1 in b, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**4\/2 + p**2 + 2*p + 1. Let v be t(3). Suppose -4*r = -2*r - v. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12413 (base 5) to base 7\nAnswer: -2603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 77, 112, 145, 176?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31589, -126348, -284281, -505388?\n\"Answer: -31587*m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 10*l + 16. Let y be u(8). Solve -4*j + 1 = -2*b + 5, y = j - 2*b + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 1\/2, -0.07, -2\/311 in descending order.\nAnswer: 1\/2, 1\/7, -2\/311, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.799 + 0.181. Let h = -0.02 - f. Which is the second smallest value? (a) h (b) -1\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 15*s**2 + 21*s + 49. Let t be v(16). What is the tens digit of 0 - (t + -1)*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001951802 to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -285804 and -0.8.\nAnswer: -285804.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -148?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sllvllllllglslgslll. What is prob of sequence gg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 859.1276 + -0.1276. Let w = 859.0017 - t. Round w to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -164 at most as big as -165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4 = -4*g, 11*g - 8*g = -2*y - 2. Suppose -2102 + 7152 = y*h. List the prime factors of h.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 - (59 - 65).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (6\/12)\/((-2)\/24). Suppose -c*x = -19*x + 65. Solve 0 = -x*m - 25 - 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + x - 7 = 0, x + 5 = 6*x. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/8*(-30)\/9. Factor 2*b - 4*b**2 - 1\/3 - b**4 + j*b**3.\nAnswer: -(b - 1)**3*(3*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 304800 and 18.\nAnswer: 914400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -504352643 or -504352641?\nAnswer: -504352643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 840368 to the power of 1\/2, to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w - 31. Let z = -17 - w. Suppose 2*d + 5*m - 88 = 2*m, 2*d + 4*m - 92 = 0. Calculate the remainder when d is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 3336?\nAnswer: 3335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 minus -1871?\nAnswer: 1869.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*s**3 + 0*s**4 - 4 - 3*s**2 + 2*s - 6*s**3 + 0*s**4 + 12*s**4 - 13*s**4 to the form o*s + n*s**4 + t*s**2 + m + j*s**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -308547 + 308547. Determine z so that 11\/2*z - 1\/2*z**2 + h = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8897 rounded to 2 dps?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-264)\/20)\/((-3)\/15). Let p = d - -42. Let s = p - 95. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06803 rounded to 3 decimal places?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 4 + (-1)\/3*-21\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1558*k**2 - 2*k - 669*k**2 + 9*k + 14*k - 21*k.\nAnswer: -2227*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112245 and 426531.\nAnswer: 2132655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 0.2, 0 in ascending order.\nAnswer: -78, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*1 - (-3 - -2). Let r(u) = -3*u**2 + 2*u. Let g(y) = 4*y**2 - 3*y. Suppose -13*q = 7 + 32. Calculate i*g(o) + q*r(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23155.9 + -25141. What is r rounded to the nearest ten?\nAnswer: -1990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - 4*v**2 - 8*v + 7. Let b be r(6). Suppose -244*c - 2010 = -b*c. Does 70 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-126)\/33 - -4) + (-3348)\/22. Let j = h + 256. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -8, 3513?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 - (-115 - -39) - -78?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 19 = 5*y. Let f be 8\/32 + 22\/8. Suppose 0*g + 31 = 4*g + v, f*g - 2 = -5*v. Calculate the highest common divisor of g and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 635 and 631 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 7. Determine u(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4\/3 - 5*h**3\/3 - 17*h**2\/3 + 7*h = 0. Calculate h.\nAnswer: -3, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 3*d - 3. Let y be w(-3). Let b be ((-2)\/2 - 1) + y + 5. Suppose -p - p + 238 = b. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453608 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + -2 - (1 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90.969 + 105.31. Let z = -8.2 + -6.2. Let m = q + z. Round m to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/12 and 73\/195.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 509521 and 0.5?\nAnswer: 509520.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20\/9 + 50\/9*o**2 - 82\/3*o = 0. What is o?\nAnswer: -2\/25, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 343488 and 384.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x + 4 = 0. Suppose -2*h + 49 = -83. Suppose p = -x*p + h. What is the remainder when 64 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20727 a multiple of 329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/68)*k*k**(-6\/11) assuming k is positive.\nAnswer: k**(351\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1188 and 11286.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4156*a**4 - 15684.\nAnswer: 16624*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y + 0*y)*(-3 + 16 + 18)*(2*y - 3*y - 2*y).\nAnswer: -186*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from zzxzxxxzmzxzxzzzlzbz.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 25*u - 57. Is 6 a factor of s(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-12)\/(-16)*((-3)\/5)\/((-468)\/59280)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*q - 387*q + 520 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.17428 kilograms to grams.\nAnswer: 51174.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = -u + 3*m + 71, 5*m = 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 415501 to the power of 1\/2, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/8 - (-2)\/8. Let k = 1 - p. Which is the third smallest value? (a) k (b) 0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 26. Let j(w) = -w**2 + 6*w - 7. Let l be j(s). Solve -l*b = -2 - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 - 141*a**2 + 973*a - 60. Calculate o(7).\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b4 (base 13) to base 9.\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-469 + 469 + 45*v)*(1 + 4 - 1) as d*v + h and give d.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(704) + 5.\nAnswer: 2 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -7. Let w = -6 - d. Let s = -204 + 197. Which is the third biggest value? (a) w (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50 in -2, -30, -1\/4, -0.4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -534, -53, -2, 4, 3, -29.\nAnswer: -534, -53, -29, -13, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*x + 3795 = -19*x + 106*x for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -544*j**4 - 10159 + 10159 + (-2*j**2 + j**2 - j**2)*(0 + 3*j**2 + 0) + (2*j**2 + 0*j**2 - 3*j**2)*(2*j**2 - j**2 + 0*j**2).\nAnswer: -551*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = k + 2*k. Let y(a) = 2*a**2 - 4*a. Let t(g) = 2*g**2 - 5*g. Let f(v) = 5*t(v) - 6*y(v). Determine f(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttetttttet. What is prob of picking 1 t and 1 e?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -s - 7, s - 4*s = -5*f + 9. Is 151 - (f + 2 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1264 divided by 1.\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 + g - 1. Let x be f(1). Let l = x - 23. Let j = l - -35. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392918 = -24*r + 216466. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1155 and -1\/22275.\nAnswer: 155925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -99*s**3 + 9*s**2 - 3*s. Let c(z) = -293*z**3 + 26*z**2 - 8*z. Give 3*c(f) - 8*p(f).\nAnswer: -87*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 26*n**6\/15 + n**5\/20 - 479*n**4\/6 - 393*n. Find the third derivative of r(x) wrt x.\nAnswer: 1248*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 392 = 2*g, -4*g + 0*g = -16. Suppose 2*y + 108 = c. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1825*b - 16873. What is p(-9)?\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.91, -1\/5 in descending order.\nAnswer: 0.91, 0.4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111399, -223003, -334807, -446811?\nAnswer: -559015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5484 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365769171.\nAnswer: 3, 19, 103, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.62 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -5*x**4\/24 + x**2. Let o(g) = -5*g + 84810 - 22*g**2 + 11*g**2 - 84810 + 7*g**2. What is o(m(z))?\nAnswer: -100*z**2 + 25*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-10 - 10\/(-5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -177. Suppose -v - a = -5*r - 6*v, r - v - 20 = 0. Calculate the remainder when 38 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**4 + 57*p**3 - 135*p**2 - 35803 wrt p.\nAnswer: -8*p**3 + 171*p**2 - 270*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2822.123326 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 411\/6)\/(5\/50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1124*s - 1126*s + 4*w + 20, -3*w + 11 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewl when three letters picked without replacement from dluedldeweceudd.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/21? (a) -0.02 (b) -2\/3 (c) -2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 10) in base 16?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 174*p - 17. Let w(h) = -484*h + 53. Determine -17*q(y) - 6*w(y).\nAnswer: -54*y - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 36?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, -27, -1717.\nAnswer: -1717, -27, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/487 - -35524\/4383. Calculate the common denominator of (-4155)\/(-360) + (1\/(-6) - 0) and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -0.02, 5\/3, 9, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**2 + 25*g - 11. Let q be x(-6). What is the second derivative of -q*z**2 - 54*z - 32*z**2 + 64*z**2 wrt z?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38042.\nAnswer: 2, 23, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*-1*(-20)\/(-12). Suppose 0 = -5*f + 4*f + 5*z + 30, f = z + 10. Let w(l) = 0*l + 9*l**2 + f*l - 2*l. Let b(d) = -8*d**2 - 2*d. Give p*b(s) - 4*w(s).\nAnswer: 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 112 = 2*n. What is the remainder when n is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 997.5045 to the nearest 10.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 26 (b) 0 (c) -1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175891?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2594850176?\nAnswer: 2, 20272267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*j + 256*j - 87*j - 79*j + 88*j in the form k*j + u and give k.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15669373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/((15\/(-6))\/5). Suppose 3*f - 2*f = r. What are the prime factors of (-8)\/f - (-84)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f\/f**2*f**(1\/2)\/f*f\/(f\/f**(-3\/4))*f**(3\/8)*(f\/(f\/f**(1\/2)))**(-14)\/(f\/(f\/f**(-1)*f))**4 assuming f is positive.\nAnswer: f**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -10\/7*h**4 + 18\/7*h**2 + 4\/7*h + 0 - 12\/7*h**3 = 0.\nAnswer: -2, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*m**3 + 763*m**2 - 18*m + 5223596?\nAnswer: -42*m**2 + 1526*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + 11*k**2 + 6*k - 56. Give m(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - 21*f + 4. Let x be l(7). Let g(a) = a**2 - 3*a - 5. Determine g(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1284, -4470, -9776, -17202?\n\"Answer: -1060*o**2 - 6*o - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/249 in -23, -2\/9, 1.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a + 20*a + 0*a)*(25*a**3 - a**3 + 9*a**3) to f*a**4 + p*a**3 + u + g*a + d*a**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 33*m + 1. Let t be -3 - -5 - (1 + -1 - -3). Determine q(t).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58364*s = -58827*s. Let q(u) = -u**2 + 5*u + 5. Let v be q(6). Put 4, s, v, 3 in descending order.\nAnswer: 4, 3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 1\/(12\/(-46)*19 + 5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16075, 16066, 16045, 16006, 15943?\nAnswer: 15850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476 divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27372180*m*u**3 - 306*m - 6639*u**2 wrt u.\nAnswer: -164233080*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 (base 12) in base 3?\nAnswer: 201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 8*g**2 + 9*g - 3. Calculate the smallest common multiple of h(7) and 3*(-12)\/9 - -10.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -28*x + 3597. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - g = -11, -15 = -7*g + 2*g. Suppose -2*x = q, 5*i + 1 - 26 = 5*x. Calculate the remainder when 2 + i\/(-4)*-19*3 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(190)*2*5)\/((5*(sqrt(90)*2 + sqrt(90)) + sqrt(90))\/sqrt(9)) + 2)**2.\nAnswer: -15*sqrt(19)\/2 + 4531\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.1 - -3.2. Let o be ((-30)\/(-40) + (0 - 3\/(-12)))*0. Which is the nearest to 39? (a) -1\/5 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60876, -121750, -182614, -243462, -304288, -365086?\nAnswer: -425850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 14 = 16. Let z be -2*(-2 + 10\/(-4)). What is the common denominator of -127\/12 and (49\/7)\/(t\/z)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**4 - 1646759*i**3 + 22*i**2 - 987*i - 24 wrt i.\nAnswer: 48*i - 9880554","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**6\/180 - s**4\/2 + s**3 + 79*s**2. Let c(a) be the second derivative of k(a). Let o(n) = 5*n**2 + 4. Determine c(o(y)).\nAnswer: 20*y**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -769375*i**3 + 2*i - i + 774694*i**3 + i**3 - 2*i**3 + 3*i**3 + 2*i**3 + 2*i**2 - 2*i**2 + (0 - 2*i**2 + 0)*(2*i - 2*i - i).\nAnswer: 5325*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -0.2 (c) 6467\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -1) + 6896\/2304. Is z less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 363 * 0.03.\nAnswer: 10.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*20\/36*3. Let a = 16 + -6. Suppose -4*x - 5 = 5*g, 4*x + 5*g = 3*g + a. Calculate the highest common divisor of c and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2363, 6, 5 in increasing order.\nAnswer: -2363, -4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15b (base 14) in base 12?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*p - 3*p, 15 = -3*p + 3*r. Let a = 10 + p. Is a smaller than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1437255, 2874441, 4311623, 5748801, 7185975, 8623145, 10060311?\n\"Answer: -2*k**2 + 1437192*k + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113 - 108. Suppose -x = -4*d + 16, 5*d + p*x = 10*x + 5. Solve -u + 3*a - 4*a - d = 0, -2 = a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -5*h + 235, 13*j - h = 5*j - 47 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**3\/3 - 13*a**2\/2 - 38*a - 103. List the prime factors of j(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 9. Let j(l) = -l + 2. Let i be j(m). Which is the biggest value? (a) i (b) -0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, c: 4}. Give prob of sequence cccc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 22 = -5*x. Let z(v) = v + 4. Let m(c) = 2*c + 7. Let d(g) = x*z(g) + 4*m(g). Let r(u) = -12*u. Calculate r(d(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*w + q + 4, 0 = 4*w + q - 13. Sort -18, -4, -2, w in descending order.\nAnswer: w, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83342.9 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/4)\/((-2)\/(-40)). Suppose r = -5*l + 2*v - 7*v, -2*v - 25 = 3*l. Let y = -5 - l. Solve 3*n = -y*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18635029 divided by 1169?\nAnswer: -15941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -723 - -723. Let o(m) = m**3 + m - 52. Give o(z).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 74, 115, 84, -55, -338, -801, -1480, -2411?\n\"Answer: -6*m**3 + 83*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 99\/(-24)) + 11 + -17. Determine p so that 0 + 1\/8*p + k*p**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Evaluate -2 + -4 + (7 - -1) + -40.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43176 + -215882\/5. Let w = 0.2 - 0.1. What is the closest to s in -6, w, -5\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/10 not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/7))\/(x\/((x**3\/x)\/x*x*x)))\/((x*(x*x\/(((x\/(x\/(x\/x**(-10))))\/x)\/x*x))\/x)\/(x*x**(2\/9)*x)) assuming x is positive.\nAnswer: x**(851\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-5 - -11)) + 7 + (20 - -10).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8589330 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 57467 = 57466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 236*k - 3732. Give v(-19).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -121121 (base 3) in base 5?\nAnswer: -3243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 5*t - 3. Let h be c(3). Let a be (-2)\/(-1) - (5 - h). Suppose 6*o - 2*o + 4*w - 40 = a, -2*w = 6. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 238 + -249. Let b(f) = -f**3 - 10*f**2 + 11*f. Calculate b(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 4*d - 4*s, 2*d - s + 5*s - 64 = 0. Let x = 107 - 103. Let a be 4\/14 - 66\/(-14). Solve x*n - 12 + 0 = -a*w, -3*n - d = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18152 (base 9) to base 11\nAnswer: -9453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-102)\/4)\/(-1 - 2) and (1 + (-143)\/(-6))\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1956*m - 661130. Determine a(-338).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d*m**3*w + 181513*d*m**3 + 229*d*m**2 + 65*d*w - d - 2*m**3 - m**2 wrt m?\nAnswer: 30*d*w + 1089078*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142703932 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(-3*d + 7*d - d) + 5*d + 2*d - 5*d + (-2*d - d + 4*d)*(8 - 2 + 21)*(0 + 0 - 2).\nAnswer: -55*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -163 + ((-216)\/(-104) - (-5)\/(-65)). Which is bigger: v or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p. Suppose p = r + 2*r. Which is smaller: r or 2\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*a + 10, -2*b - 14 = 3*a - 0*a. Let t = 1.4 - -0.6. What is the smallest value in 0.4, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + -3*sqrt(1008) + 5 + 2.\nAnswer: -24*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 182124623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 - 151*z**2 + 554*z + 95. Let p = 3 + -3. Suppose -3*s + 138 = -p*s. What is the remainder when s is divided by g(-79)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i = -5*b + 56*i - 15, 3*b + 1 = -i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -923 + 923 + 41*q to u + h*q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 - 91. Let h = -2.98 + -0.02. Let i = h + 3.5. What is the second smallest value in 0, i, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 2\/17, 116, -1, 0.5, -1\/154?\nAnswer: -1\/154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**4\/4 - 7*m**3\/3 - 3*m**2 + 4*m - 15. Calculate t(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59428.18 nanograms to micrograms.\nAnswer: 59.42818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 133?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**3 - 73*n**2 + 107*n - 65. Let r be b(-16). Suppose q - 3*s = s + 44, 2*q = -s + 43. What is the greatest common divisor of q and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 9*v - 3*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5*h = 0, 99*t + 3*h + 17 = 100*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 10692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -882*w + 736*w + 3358 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10.5 or -4?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -15*b - 52. Let q(j) = -9*j - 32. Let h(t) = 8*f(t) - 13*q(t). Let a(g) = -197*g**2. Give a(h(o)).\nAnswer: -1773*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -2*a**3\/15 + 434*a**2\/5 - 94178*a\/5 - 674. Factor f(k).\nAnswer: -2*(k - 217)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30815150 divided by -9950?\nAnswer: 3097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/111 and -26\/75.\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23462678 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*h + 428, -138*c + 139*c + 4*h = 422. Let u = -82 - -101. What is the remainder when c is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -784383 > -784384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -57 and -0.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - -2*5\/2. Suppose 0 = -3*h + o*h + 16. Let y be ((-5)\/h)\/(3\/12). Solve -4 = 2*q, -6 = y*i - 3*q + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633278.5l in millilitres?\nAnswer: 633278500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3 - 693459*u**2 - 15256461*u - 83911201 = 0.\nAnswer: -11, 693481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -22, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:13 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-45))\/((-112)\/(-72))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5089 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 824 = -q + 2678, -2*q = -3*s + 2096. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 298337521 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -51, 1, -4 in ascending order.\nAnswer: -51, -4, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1835 * 7.\nAnswer: -1.2845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 15*f**2 - 2. Determine b(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5287999?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*h**4 + 105\/2 - 18*h**3 - 51*h**2 + 18*h = 0 for h.\nAnswer: -7, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761685 is divided by 14104?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.04 (b) -1.158 (c) -0.1 (d) -5 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1733 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*v - 67*v + 222 = 0. Suppose 0 = -24*i + 29*i - 40. What is the remainder when v is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/(-9) + 1\/3. Suppose 0 = l + 2*p - 14, -2*p + t*p - 34 = -3*l. What is the remainder when 9 is divided by (2\/l)\/(1\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-45))\/(9\/15).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llwwwwwl. What is prob of sequence wlw?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (-62)\/14)*((-312)\/(-32) - 8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2 + 88 = -2*s, -5*v + 125 = 5*s. Solve 2*y - 6*y = v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 28*j - 158613*j**3 + 158700*j**3)*(j**2 - j**2 - 2*j**2).\nAnswer: -174*j**5 + 48*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vossoogosgggvs. Give prob of picking 2 g and 2 v.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 114311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3045 - -3165. Calculate the greatest common factor of 1620 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.25 from 6639.\nAnswer: 6638.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/78 and -17\/60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38104 by -4.\nAnswer: -9526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 75. Let h(c) = 56*c - 904. Let k be h(18). What is the greatest common factor of g and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-156)\/(-20))\/(1\/15)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30099672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 859 - 316. Let m = k + -543.000001032. What is m rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8503*r**2 + 113*r - 26. Let i(x) = 14171*x**2 - 189*x + 43. Let u(h) = 8*i(h) + 13*m(h). Find the second derivative of u(g) wrt g.\nAnswer: 5658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5 + 3*v + 1 + 2*v + 2. Let g be l(2). Let k(p) = g*p - 4*p + 6 - p**2 - 8*p. Determine k(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1503859 is divided by 187972.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 33951375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkgkk. What is prob of picking 4 k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 8*f**2 + 5. Suppose -28 = 4*y + 52. Let a be (12\/(-10))\/(3\/y). What are the prime factors of k(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**2 - 108*q**2 + 82*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/43219 and -85\/62864?\nAnswer: 691504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5868 + -3658. What are the prime factors of j?\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 11:25 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/8037 and -71\/204?\nAnswer: 546516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3. Let b(u) = -16*u**3 + u + 1. What is the tens digit of b(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46515 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/2*n + 11\/2*n**3 - n**2 + 1.\nAnswer: (n - 1)*(n + 1)*(11*n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, 7 in increasing order.\nAnswer: 0, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 666103 - -3168553\nAnswer: 3834656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/162)\/(7\/42*4*(-48)\/256).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (18 - -4)) + 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 16. Let s be p(12). What are the prime factors of 1\/(-2) - 92\/s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9 + -5.3. Let s = -302 - -302.3. Which is the nearest to 5? (a) s (b) -0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 46324.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.33625 + -0.2.\nAnswer: 0.13625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 551342 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 2*o**2 - 2*o - 3. Let s be r(-2). Let f be 145\/(-15) + (4\/6)\/s. Let p(c) = 5*c - 11*c - c**3 + 60 + 66 - 116 - 10*c**2. Give p(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from {t: 1, q: 9, k: 3, y: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5*c - 25, 3*t - t = -3*c - 25. Let w = t - -12. Let h = 95 - w. What is the highest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*k - 14440 = 126*k. Let b = 733 + k. Calculate the least common multiple of b and ((-2)\/(-4) + 0)*60.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 less than 68207\/1452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(2475\/70) + (-8)\/(-88)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 28*r**3 + 3*r**4 - 38*r**3 + 5 + 3*r**2 - 33*r**3 + 126*r**3 - 30*r**3 as m*r**3 + t*r**4 + k + q*r**2 + b*r and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -2 (b) 2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000298425305 rounded to 7 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2106 - 0.1215. What is f rounded to three decimal places?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*x - 14, -31*a = -27*a - 4*x + 24 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v = -3*m + 18, 4*v - 4 = 0. Suppose -5 = -r - 0. Let u = 8 - r. Solve u = m*d - 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**3 - 13*s + 182. Let t(o) = 13*o**3 + 28*o - 364. Let g(i) = -7*h(i) - 4*t(i). Differentiate g(n) with respect to n.\nAnswer: -9*n**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7421004.\nAnswer: 2, 3, 68713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 46057192 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 18*p - 64 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1401004291 and 191.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**5 + 112*l**4 - 1060*l**3 + 4408*l**2 - 7936*l + 4480 = 0.\nAnswer: 1, 4, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5820?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/7 (b) 2.6 (c) 0.2 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.028 (b) 0.2 (c) -98540\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = 0, 5*b = -5*t - 0*t. Let v be -3 - (-2 - -4) - t. Let w(r) = -r**2 + r. Let k be w(-1). What is the closest to -2 in k, v, 3\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*j - 11*j - 92*j + 2*j**2 - 85*j to z + k*j + r*j**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -53909?\nAnswer: -30\/53909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (1 - 2)) + -1 + (-429 - 159) + 523\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (352 - 357)*4\/50.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 557006?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17518832447 less than -0.1751?\nAnswer: -17518832447.1751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Let t = v + -3. Let y = t - 2. Sort y, -1\/3, -3 in descending order.\nAnswer: -1\/3, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2372774*g**3 + 11*g - 81863.\nAnswer: -14236644*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 48.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14874 and -116.\nAnswer: -1725384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384523068.\nAnswer: 2, 3, 17, 1884917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 198, 201, 204, 207, 210?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*y - 155, -2*u - y = 4*y - 95. What is the remainder when 99 is divided by u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 10 = g. Let v be 11676\/140 - (-6)\/10. Let q be v\/210 + (-17)\/5. Sort q, 1, -6, g.\nAnswer: -6, q, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*sqrt(153) - sqrt(153))**2 + (sqrt(102)\/(sqrt(6) + sqrt(18)\/sqrt(3)) - (sqrt(68)\/(sqrt(4)*-1) - sqrt(17))**2).\nAnswer: -4964 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 92, -0.02, -0.01627 in decreasing order.\nAnswer: 92, 0.3, -0.01627, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 1:18 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -332562, -665124, -997686, -1330248, -1662810, -1995372?\n\"Answer: -332562*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508 - 5148 - 7934 = -11242*v - 1332 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-9)*(-3)\/(-2). Let i = j - 0. Calculate the remainder when 11 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-2)\/(-4) + -39. Let w = -598\/15 - u. What is the biggest value in 0.04, -2\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*p = 3*m - 27, -4*p + 20 = 0. Let i(r) = -3*r**3 + 3*r + 7. Let s be i(-2). Suppose 6*o - s*o - 95 = 0. Sort o, m, 5 in ascending order.\nAnswer: o, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2015*f + 97. Let y be m(0). Put 9\/2, 1, y, -0.3 in descending order.\nAnswer: y, 9\/2, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**12*f)\/f**(-2\/11))**(-4\/9) assuming f is positive.\nAnswer: f**(-580\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g - 43. What is t(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 6*g - 6. Let m be x(-7). Let y be m - 2 - (-6 - -2). What is the third derivative of 3*l**6 - 5*l**6 - l**6 + y*l**2 wrt l?\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, 2\/11, 2, -142631?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 18, q: 2}. Give prob of sequence qyyy.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d - 5*i = -15, 3*i + 23 = 5*d. Suppose m = -3*m. Suppose m*s = -3*s + 6. Calculate the highest common factor of s and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95279\/3 or 31761?\nAnswer: 31761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -21 (c) 15 (d) -0.016 (e) -0.4 (f) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -256 + 255. Which is the smallest value? (a) w (b) 2\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s + 2\/17*s**3 - 180\/17 - 8\/17*s**2.\nAnswer: 2*(s - 10)*(s + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**6\/24 + 11*s**5\/12 - 1505*s**4\/24 + 6125*s**3\/6 - 211*s**2. Factor x(r).\nAnswer: 5*(r - 7)**2*(r + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, e: 2, i: 2, g: 1, p: 2, l: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-5 + sqrt(75))) + (5*sqrt(12)\/sqrt(4))**2 + (6*sqrt(726))\/sqrt(2).\nAnswer: 80 + 62*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3323, 18623, 3, 1 in increasing order.\nAnswer: 1, 3, 3323, 18623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 37*g + 4. Let k be a(6). What is the second smallest value in -137, -4\/17, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 55169280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1131 = -10*w + 1589. Calculate the greatest common divisor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-2 + 0) + (743 - 722)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + 23 + -19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 2*s**2 + 2*s + (4*s - 3*s + 0*s)*(2 - 2 + s) + 233*s**2 + 5112*s**2 + 3294*s**2 - 3273*s**2 + 3866*s**2.\nAnswer: 9231*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -106. Calculate the highest common factor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) + 125\/(-24) - 0. Let s = -211\/40 - i. What is the closest to 0 in s, -13, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 2\/(2 - 1). Let g = d + -23. Let r = g + 46. Solve -2*s + r = -4*h - s, -2*s + 1 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/5 or 441?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**2*c*c\/(c**0*c))\/(c**0)**(-23))**(3\/5))**3 assuming c is positive.\nAnswer: c**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*c - 16*c - 86 = -20. Solve 0 = -6*a + 5*a - d - c, -4*a + 4*d = -20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**6\/15 - 4*l**5\/25 - l**4\/5 + 8*l**3\/15 + l**2\/5 - 4*l\/5 + 20. Solve f(b) = 0 for b.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than 0.087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 14*s - 19. Let l be g(-13). Does 2 divide (-88)\/(-33) - (-4)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 30*f**2. Let o(m) = 11*m + 4. Let u(d) = 8*d + 3. Let b(j) = -3*o(j) + 4*u(j). What is c(b(x))?\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5 = -3*s. Suppose n + 2*j - 12 = -n, 5*j = -2*n + 21. Solve 2 = -n*w + s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 20. Suppose 3*i - 5*i - 124 = o*t, 4*t + 122 = -i. Let v = t - -73. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6585 + -1.5585. What is the closest to -0.2 in 8, k, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2735136953?\nAnswer: 17, 160890409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - i = 239, -5 + 1 = i. Suppose 305 = 9*h - c. What is the greatest common factor of h and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39587.\nAnswer: 31, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 57*j - 1470 = 33*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**3 - 3*u**2 + 2*u - 3. Let l(q) = 11*q**3 + 7*q**2 - 4*q + 7. What is -6*l(t) - 14*x(t)?\nAnswer: 4*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1872) - (sqrt(1872) + sqrt(1872)*2))**2*2)*-5 + -1.\nAnswer: -74866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {k: 2, z: 3, r: 4, s: 8}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*((-9)\/198)\/(-1) + (-166)\/(-1100). What is the second smallest value in h, -0.3, 6, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -15*p + 9. Determine u(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3846 rounded to two dps?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/3? (a) 3 (b) 0 (c) 1 (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 15 = 8*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -24346?\nAnswer: 1\/12173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*h = -12, -22 = -4*y + h - 2*h. Let q = 8 - y. Solve 0 = -0*x - q*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 2. Suppose l - 10 = c*l + 5*i, -2 = i. Suppose l = 6*m - 3*m - 6. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 3*a + 12. Let y(g) = -g**3 + 2*g**2 + 4*g - 3. Let j be y(a). Suppose 13 + 29 = x + 3*b, 2*b - 8 = j. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65871 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -917 + 915. What is the nearest to w in -1\/3, 0, 0.4, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:25 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -70. Suppose c + 4*p = 5*c - 24, -p = c. Let q be (10\/(-1))\/(-5 + c). Solve q*r + k = -0*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 14*m**2 + m. What is the least common multiple of d(14) and 52?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2059 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31715*r + 37515.\nAnswer: 31715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27\/8 + 373\/24. Calculate the common denominator of (-645)\/36 + (-4)\/(-6) and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - v - 28 = 0, -27 + 4 = -s + 2*v. Suppose c - 38216 = -s*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 4. Let g be k(4). What is the units digit of (2 - -23)*(g + 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 72\/5, -4.\nAnswer: -4, 0.3, 72\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -796453220 rounded to the nearest one hundred thousand?\nAnswer: -796500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcwcw. What is prob of picking 1 x and 2 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o\/(o**(-7\/2)*o))\/o)\/(o**(-7)*o))**36)**32)**(-2\/135) assuming o is positive.\nAnswer: o**(-2176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84947 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -649409\/4847248 + 2\/43279. What is the common denominator of 5\/63 and r?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 5*m - 0 + 4, 5*m - x = -1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 2732 = -1532. What is the least common multiple of c and 525?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -15 - (110 - 103)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56.9 + -57. Let f = -0.34 - -0.24. What is the nearest to f in -0.2, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2394413 is divided by 76.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -20) + (-17 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 3 + 3)*(2 + 0 + 2) + 1 - 3 + 0 - 1 + 2 + 0)*(-h + 4*h - 2*h)*(2 + 0 + 0) to the form j + g*h and give g.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s**3 - 7*s**2 - 24*s + 7. Let n(f) = -9*f**3 - 6*f**2 - 23*f + 6. Let z(a) = 6*i(a) - 7*n(a). What is the second derivative of z(b) wrt b?\nAnswer: 90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 45\/13 and -333 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4 = 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 9*b**2 - 5*b**2 - 2*b**2 + 3*b to x + l*b**2 + s*b and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 + 414*u**2 + 412*u + 27. Calculate d(-137).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -37*r**2 - 16*r - 1. Let j(p) = -6197 + 2*p + 6197. Determine f(j(k)).\nAnswer: -148*k**2 - 32*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 4, e: 4, i: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*t + 79 = -79, 2*q - 88 = -5*t. Let r = -32 + q. Suppose u - 5 = -h, -2*u - r*u + 4*h = -4. Solve u + 12 = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7193?\nAnswer: 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -2*s**3\/3 + 11*s**2\/2 + 47*s - 49. What is the first derivative of i(t) wrt t?\nAnswer: -4*t + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.1 - 15. Let q = c - 1. Which is bigger: -0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**9\/252 - g**5\/12 - 19*g**2. Find the third derivative of w(o) wrt o.\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*l - 130, -4*v + v = l - 67. Suppose -t = -0*t - 2. Suppose -t*g + 22 = -10. Calculate the greatest common factor of v and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18160 - 8940 - 9220 - 999*d.\nAnswer: -999*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3976013cm to meters.\nAnswer: 0.003976013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -92*h + 215 wrt h?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2549226372.\nAnswer: 2, 3, 7, 11, 394129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 45605*i**3 + i + 2958*i**3.\nAnswer: 48563*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 621 divided by 206.\nAnswer: 621\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -112131?\nAnswer: 112213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -13*f. Let m(l) = -2*l**2 - 191139. Give z(m(d)).\nAnswer: 26*d**2 + 2484807","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -529682040 to the nearest one hundred thousand.\nAnswer: -529700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*r + 173*g**3 - 9*g**2*r + 11*g**2 + 710*g*r + g + 54*r + 1 wrt g.\nAnswer: 12*g*r + 1038*g - 18*r + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 15656568.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203248855.\nAnswer: 5, 17, 67, 89, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 108, 139, 242, 453, 808, 1343, 2094, 3097?\n\"Answer: 6*x**3 - 11*x + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 98 - 38. Suppose -28*a = -33*a + x. Suppose -3*y = -2*i - 737, 2*y - a*i = -3*y + 1227. What are the prime factors of y?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1) - 4\/(-2). Suppose -b + 3 = -x*i, 8*i = -3*b + 3*i + 23. Suppose -b = 2*z - 20. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 2}. What is prob of sequence jj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**2 + y + 1. Let f be i(-1). Let s = 5 + f. Suppose 58 = 4*w + s. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152991978861.49981 + -152992763119. Let m = c - -784220.5. Let j = -37 - m. What is j rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 - -1001001?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11654379271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 729442146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-150))\/((-6)\/(-10) + -1). Let r(c) be the second derivative of d*c**4 + 0*c**3 - 3*c + 0 - c**2. Find the first derivative of r(b) wrt b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 70207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 - 9\/(-2). Let m(s) be the second derivative of 0 + 1\/2*s**2 + 1\/20*s**5 + 1\/6*s**3 - 5\/12*s**4 - 10*s. Give m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3539 - 4964. Let p = 3160 + u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3) + sqrt(192))*-3.\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 64601910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {w: 2, a: 2, p: 4, q: 3, k: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 1:10 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13645 = -5*b - 4900. Let l = b - 517. Suppose -4*m + l = 2*n, -m = m + 3*n - 620. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 238*t + 6400. Determine v(-27).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -b - b. What is the smallest common multiple of b and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + 1 + (16 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(-5*7\/175).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14760 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -401, -3.\nAnswer: -401, -3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppy when four letters picked without replacement from {d: 7, p: 4, y: 7}?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from xwdxxwwwxw?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 16*f**3\/3 - f**2\/2 + f - 39. Suppose 0 = 101*c - 93*c - 8. Give n(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*b - 0*b. Suppose 0*j + 12 = j - 4*q, -5*q - 1 = -3*j. Let k = 5 + j. Which is bigger: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111151883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 34, 71, 140, 253, 422, 659, 976?\nAnswer: 1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpd when three letters picked without replacement from plddpldl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74864 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 523416 divided by 6?\nAnswer: 87236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*k**3*y + 16234*k*y**2 - 24590*y**2 - 9 wrt k.\nAnswer: 90*k**2*y + 16234*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 5*i**2 + 2. Let j be o(5). Let u = 257\/3 + -84. Let h = 1\/14 - -3\/14. What is the smallest value in u, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -491095 - -697124. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + v - 2135, 38*d - 2145 = 33*d + v. Let h = 465 - d. Calculate the remainder when 247 is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4 - 51*v**3\/2 + 90*v**2 - 118*v + 48 = 0.\nAnswer: 3\/4, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4950*n + 74172. Calculate a(15).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 2*a**3 - 2*a)*(-1 + a + 1) - 2*a**3 - 7*a**2 + 7*a**2 - 3*a**4 as j*a + h + s*a**3 + q*a**2 + v*a**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-6\/19)*y*y))\/y)\/(y\/(y*y**(-31))) assuming y is positive.\nAnswer: y**(-640\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1590 + 1590 + 108*v**2)*(-1 + 3*v**2 + v**2 - 3*v**2) to u*v**4 + w*v + y*v**2 + c + r*v**3 and give y.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3162 and -22?\nAnswer: 69564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**5 - 4*s**5 + 3*s**5)*(-1 + 2 - 3)*((1 - 3 + 3)*(-43 - 19 + 5) - 4 - 1 + 4).\nAnswer: -232*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -397 - -403 - (0 - -27).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 50*w**2 + 97*w - 49. Calculate y(48).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141b (base 12) to base 15.\nAnswer: a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -772*l - 125254 + 125254 as h + z*l and give z.\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.0316, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59487 and 264.\nAnswer: 5234856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, r: 1, z: 2, q: 1, y: 3}. Give prob of picking 1 z and 1 q.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -174?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*d + d. Suppose n - d*r = -2*r + 12, -r = -n + 8. Suppose n*v = 3*l - 84, 3*v + 28 = l - 5. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = l + l. Let k(a) = -2*a**2 - 13*a - 19. Let b be k(-5). Is b bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 31336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*n - 4*n**2 - 1518*n**3 + 6*n**2 + 1520*n**3 to d*n + u + y*n**3 + g*n**2 and give d.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 20*i - 19. Let m(g) = 20*g - 19. Let a(t) = 2*m(t) - 3*p(t). What is the tens digit of a(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14434 + -4006?\nAnswer: 1042a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62318221*f**4 + 27550520*f**2 wrt f?\nAnswer: 1495637304*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11687, -13216, -14731, -16226, -17695, -19132, -20531?\nAnswer: -21886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61764347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**2 - 32835*b + 65650 = 0. Calculate b.\nAnswer: 2, 6565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/8 + 2\/(-8). Suppose -5*s + 3*k = 4*k - 6, x*s - 4*k + 1 = 0. Which is smaller: s or 2\/101?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1075823 and 1.8.\nAnswer: -1936481.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 8 = -m, -5*m + 8 = 2*h - h. Suppose 4*d - 2*d = -m*q, -d - 5*q = 20. Factor 3\/5*o**d + 0*o**2 + 0 - 2\/5*o**3 + 0*o - 1\/5*o**4.\nAnswer: o**3*(o - 1)*(3*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2607a91 - -45?\nAnswer: -2607a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/21)\/((-460)\/(-690))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192438 and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 5*b**2 + 3*b - 4. Let k(o) = -11*o + 126. Let r be k(11). Determine j(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -338269375*x**3 + 8861*x**2 - 25*x - 3.\nAnswer: -2029616250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 487 - (0 - 3). Let d be (-4)\/10 + r\/(-15). Suppose p - d = 10. What is the highest common divisor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 6*c + 13. Let j be d(4). Let a(v) = -v + 0*v - 6*v + j*v. Let q(x) = x. Determine q(a(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/16 and 23\/692958.\nAnswer: 5543664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(-1\/5)))\/d)**(-1\/6)*d*d**10*d*(((d*d*(d\/((d\/(d\/(d\/d**12))*d)\/d)*d)\/d)\/d)\/d)\/d)**(-31) assuming d is positive.\nAnswer: d**(-10757\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6f60 (base 16) to base 3\nAnswer: 1110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178252227 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -2642 in descending order.\nAnswer: -3, -4, -2642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2994*i - 70 + 5963*i - 2993*i to y + p*i and give y.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 869 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/7 + 264*r**2\/7 - 36*r - 520\/7.\nAnswer: -4*(r - 65)*(r - 2)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1001100001?\nAnswer: 1001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*s = 370, -y - 2*y - 4*s = -368. Suppose -3*m + 3*z - 149 = -z, -3*m = z + y. Let x be (-4)\/(-28) + m\/7. Do x and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 + 172. Let l = z - 24. Is l > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 6*k**2 - 14*k + 12. List the prime factors of f(-13).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 991*u**2 - 10*u. Let r be j(10). Round r to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -27*d - 3. Let h be z(-3). Suppose h = -4*m + 10*m. Calculate the remainder when 62 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7859, 31204, 70113, 124586?\n\"Answer: 7782*r**2 - r + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -674762\/921 - -2198\/3. Is 0 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196634 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -58. Are 19 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173 by 12090.\nAnswer: 173\/12090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 36 = 102. Suppose l - 4*u = u - 3, -5*l = 3*u - y. What is d in -14*d**4 + 14*d**2 - 2*d + 6*d**4 + 6*d**4 - l + 2*d**3 = 0?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.4, -0.7, 3\/28561, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + 83. Suppose -2*y - r - 21 - 19 = 0, 0 = 4*y - 2*r + g. Is 18\/99 - (42690\/y)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -611169 + -113374.\nAnswer: -724543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 222074323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i - 6*i - 8*i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/3 (b) 83 (c) -0.3 (d) 841 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 603.3578 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/(-48)*9*188. Suppose -w = 6*k - 7803. Does 30 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let i = 3 - k. Solve c = -i*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.13 + -23948?\nAnswer: -24069.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61, 132, 227, 358, 537, 776?\n\"Answer: 2*i**3 + 57*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 12 - c - c**3 - 5*c**2 + 5*c - 3*c + c. Let n be v(-5). Solve -n*x + 4 = -0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 16. What is the nearest to -3\/4 in -3\/7, -3\/5, w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2746318 times -5?\nAnswer: 21.373159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 47. Let b(t) = t**2 - 15*t + 38. Let d be b(g). Solve -h - 12 = d*z, -h = 4*z - 0*z + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**3 - 42*y**2 + 30*y - 9. Is u(38) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309733979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2334892 * 0.3.\nAnswer: 700467.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11060, 10987, 10880, 10745, 10588?\n\"Answer: u**3 - 23*u**2 - 11*u + 11093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1097 - -1105. Suppose 0 = -3*r - 20 + 5. Let z = -109 + 105. Sort r, z, k in decreasing order.\nAnswer: k, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1047085, -2094170, -3141255?\n\"Answer: -1047085*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*w - 66 + 176 = 0, 3*w = -z + 20. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6\/17))**(15\/4))**(-9\/4) assuming r is positive.\nAnswer: r**(405\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30, 50, 116, 252, 482, 830, 1320, 1976?\n\"Answer: 4*z**3 - z**2 - 5*z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - -107) + -109 + (-5 - (-2 + 3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n**2*v**2 - 3*n**2 - 35831*v**4 - 7683 wrt v?\nAnswer: -4*n**2*v - 143324*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/29, -0.5, 2\/5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91450*-167.\nAnswer: -15272150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oat when three letters picked without replacement from tottoarotootrtoto?\nAnswer: 49\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 3:55 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 40329*y - 40313*y + 0 + 80632*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**2 - i - 5. Let x(t) = -20*t**2 - 3*t - 14. Let h = -38 - -43. Let y be -2 - 5\/h - 14. What is y*b(d) + 6*x(d)?\nAnswer: -d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 249\/2*3*10\/15. Suppose -z - 81 = -3*t. Calculate the greatest common factor of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oho when three letters picked without replacement from oxxxohxo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.95961 not equal to -407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.2 - 17.95. Let p = -11 - m. Round p to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101\/(-1919)*18\/(-108)\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4*r**(-10))\/(r**10)**(-37) assuming r is positive.\nAnswer: r**364","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 116 = -5*s, 0 = -s - 2 - 1. Let x = 166 + c. Factor -44*o**2 + 243 + 25*o**2 + 3*o**4 - x*o**2.\nAnswer: 3*(o - 3)**2*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.280774571 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 5 = 5*k + 5*b, 18 = 2*k + 5*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r - 2. Let p(b) be the second derivative of b**5\/20 + 13*b**3\/6 - 3*b**2\/2 - 205*b + 2. Determine 5*n(j) - 3*p(j).\nAnswer: -3*j**3 - 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 12 + 22 - 2*r**2 - 188*r + 26 + 12.\nAnswer: -2*r**2 - 188*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 7*g - 3. Let u be d(6). Find s, given that -10*s**4 + 6*s**5 - 2*s**5 - 2*s**5 + 3*s**3 - 16*s + 8*s**2 + 9*s**u = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 344*f**2*s**2 + 390*f**2*s + 3*s wrt s.\nAnswer: 688*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-8))\/(7\/140). Suppose -o*w + 2*d = 368, 2*d = -3*d + 20. Let q = 235 + w. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/305 or -1?\nAnswer: -2\/305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 16*g - 247. Determine h(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 560*j**2*n**3 - 2*j**2*n*y**2 - 288*j*n**3 + j*n*y**2 - j*y + n**3 wrt j?\nAnswer: 1120*n**3 - 4*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6) + (-1515)\/6. Let t be 14\/m - 4\/(-18). Put -5, 0.2, t, 0.5 in ascending order.\nAnswer: -5, t, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117.2 - -95. Let r = 21.2 + n. Let a = 34 + -8. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + (-1)\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -320 + 319.6. Let q = -0.9 - -1. What is the third biggest value in 2\/15, q, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1039 or -16619\/16?\nAnswer: -16619\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/9*(-28701)\/(-148820))\/((-5)\/(20\/18)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**3 + 4*u**2 - 18*u + 8. Let k(s) = -16*s**3 + 18*s**2 - 91*s + 39. Let x(z) = 2*k(z) - 11*q(z). Let y be x(5). Which is greater: -44\/9 or y?\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**2)\/i**(-1\/5))**11*((i*i**(1\/5)\/i)\/(i\/i**(5\/6)))**(8\/5) assuming i is positive.\nAnswer: i**(-656\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2685, -0.5, 3, -1\/8, 4\/9, 2\/3.\nAnswer: -2685, -0.5, -1\/8, 4\/9, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 381?\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -195\/49 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 10:28 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/8 and (-44039)\/(-43992) - (-4)\/(-26).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3133627 bigger than -3133627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5720\/3744*(0 - -36).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 321881798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 + 20*j**2 - 2*j - 4. Is 18 a factor of y(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154 - -154.00223. What is x rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/5, 0.1, -1\/2, 0, 2\/37?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 66\/8 - 3\/12. Let b(q) = -q**3 + 7*q**2 + 7*q + 9. Let p be b(a). Let x = -2.9 - -3. Do p and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 157 (c) 1529 (d) 3\/2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 18 + 8 = 0. Let o(q) = k - 23 + 13 + 13 - q. Calculate the remainder when 175 is divided by o(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 507006?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3552979*o + 24870869. Give i(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 7*t - 8*t - 251 + (-7 - 5*t + 7)*(4 - 2 - 3) + (0*t + 3*t - t)*(2 - 2 - 4) to the form b + g*t and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/((-39 + 37)*(-3)\/(-15)). Let c(n) be the third derivative of u*n**2 + 0*n + 0 - 1\/20*n**5 - 2*n**4 - 32*n**3. Let c(h) = 0. What is h?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 + 63 = 94*b - 101 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 6*i = -2*i - 8, -32 = -2*l + 5*i. Let n = -139 + 139. Suppose n*g + d + 59 = g, l = 3*d. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osziszissssf. What is prob of sequence ooi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*z + 12, 0 = 4*j - 2*z - 1 - 7. Suppose -4*i + 27 - 3 = j. Suppose -i*g = -5*g - 33. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 + 8*x - 8. Let l be s(4). Let m = l - -27. Is 153 + 5 + -4 + m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-10 - (-7 + 2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 59*c**2 - 53*c - 5483. Is n(-67) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 10*o + 9. Let s be g(9). Sort 0.02, 4, s.\nAnswer: s, 0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -250 - -147. Let d be (5 - 7) + (0 - 1) + a. What is d rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(231) - sqrt(231)*1)*3)\/(2*sqrt(448) + sqrt(448)))\/(sqrt(88)\/((sqrt(14) + sqrt(14)*-2 - sqrt(14))\/sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 - -959?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 11:59 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1911 and 859803?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7809092?\nAnswer: 2, 911, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 94646843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1927293591 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -3*d**7\/35 - 2*d**6\/5 - 37*d**5\/50 - 2*d**4\/3 - 4*d**3\/15 - 3*d. Factor x(q).\nAnswer: -2*q*(q + 1)**2*(3*q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 + 24*x**2 + 41*x + 8. What is p(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-30) + 1808\/60. What is the greatest common divisor of d and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 96892?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 + 4*h**2 - h**2 + (-h + 3*h - h)*(-3*h + 5*h - 3*h) as y*h**2 + d + u*h and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 108\/7, 2, -0.5?\nAnswer: 108\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-6))\/10*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 3 = -11*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 19*m**2 + 61*m + 33. Let l be ((-11)\/(55\/(-2)))\/(1\/65). Let u be a(l). Let v = 4366 + u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25969, -51391, -76815, -102241, -127669, -153099?\nAnswer: -178531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.08 + -0.08. Let z = -45.29 + g. Let a = 0.29000021 + z. What is a rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqrrppopprt. Give prob of sequence ppqp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (588\/77)\/(-21)*(-67859)\/(-398)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -3*j**2 + 0 - 1\/32*j**4 + 1\/2*j**3 - 12*j. Determine x, given that l(x) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2\/89, 117, -2\/3, 2\/17?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzzzdxdxddzddddd. What is prob of sequence ddz?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 709642159*a*k + 168037188*a wrt k.\nAnswer: 709642159*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*u - 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - -3c29?\nAnswer: 3c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5812 * 0.3474.\nAnswer: -1.24410888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56\/42 + 6\/9 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**2\/2 + 9*y + 5. Let t = -11 + 7. Let n be o(t). Solve d + n*g = -3*d + 6, 0 = 2*d - 5*g + 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327db (base 14) in base 3?\nAnswer: 20012202200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.57372 milligrams to tonnes.\nAnswer: 0.00000006157372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 1:44 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*83\/2 + -2. Suppose j = r - 4*r. What is the remainder when 2*(-3)\/(12\/r) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*l**2 - 30*l**2 - 4*l**2.\nAnswer: -38*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 122631495 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, a: 5}. What is prob of sequence yaay?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 4, z: 4, r: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r - 25, -4*g + 5*r + 133 = 0. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - ((-38)\/(-8) + -10). Find v, given that 0 + 1\/2*v**2 - r*v - 1\/4*v**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -39*o - 5. What is the remainder when 162 is divided by u(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 46 - 10 = -2*j, -5*i - j + 73 = 0. Suppose -d = -20*d + 304. Calculate the least common multiple of i and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x + 21. Let y be u(5). Let j be (y\/9)\/(4\/(-54)). Is (4926\/j)\/(14\/(-21)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7345709*v - 14690662*v + 7344956*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*u = 18, b = -4*u + 3 + 19. Solve 4*f = -5*i - 29, 0*i = -3*i - b*f - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 138765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 - -2010012122102?\nAnswer: 2010012200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*d - 45 - 163 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(684)*-4 + -2.\nAnswer: -48*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*t + 11*t - 16*t)*(125*t**3 + 0 - 1 - 136*t**3) to the form a + h*t**4 + s*t**3 + z*t + x*t**2 and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012101000 + 111120000?\nAnswer: -200211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 6. Let b be a(4). Let u be 45\/9 + (19 - -1). Suppose 13 = 4*g - 7. Solve 0 = g*c + u, b*c + 2 = m - 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -411 by -193.\nAnswer: 411\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1001095327?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 15. Let y be -609*(42\/(-9) - g). What is the units digit of (-21)\/35 + y\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8982462 to three dps.\nAnswer: -2.898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138030 is divided by 27519?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(500)*-3)\/(6*(sqrt(4) - sqrt(20)\/sqrt(5)) - sqrt(4)*1*-3).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19498 - -19498.000019362. What is s rounded to seven decimal places?\nAnswer: 0.0000194","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 17*y + 23. Let x(h) = -h**2 - 6*h + 8. Suppose 12*g - 18 = 15*g. Calculate g*z(s) + 17*x(s).\nAnswer: s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 2. Let v be l(0). Suppose 0 = v*g - 6 + 4. Which is the closest to 2? (a) -3 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 15*i + 7. Let h be u(7). Solve -2*l + 5 = -4*c + 3*c, -4*l = h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 times 28?\nAnswer: 9352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 731148811 a multiple of 3402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*j - 22 = -4*t, 350*j + 12 = -2*t + 349*j - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -206 + 206 - 86*m + (2 - 5 + 0)*(-4*m + 0*m + 0*m) as a + o*m and give o.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276031893 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttyt. What is prob of sequence tyt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1546*y - 1784?\nAnswer: 1546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10929011, -21858007, -32787003, -43715999, -54644995?\n\"Answer: -10928996*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 195156 a multiple of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.823 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006565 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205047 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 18234 = 21*j - 18*j, 3*p + 12169 = 2*j. What are the prime factors of j?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/16608 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - g = -p + 10299, 0 = -5*p - 4*g + 12900. What is the greatest common divisor of p and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 55 = -5*n - o, -3*n + 25 = -5*o. Let z = -680 - -709. What is the remainder when z is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/4, 0.5, 0.9, 1\/17, -1, 0 in descending order.\nAnswer: 0.9, 0.5, 1\/17, 0, -1, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74696576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**3 - 28*h**5 - 50 + 20*h**4 + 50.\nAnswer: -4*h**3*(h - 1)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-10400)*-91*(-15)\/12\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1133 + 41?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -5*w + s + 82, -w + 37*s + 1535 = 1403 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -6*r**5 - 2145*r**4\/4 - 20379*r**3\/4 - 14136*r**2 - 12087*r = 0.\nAnswer: -79, -51\/8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3, -44, -0.02, 10971?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 48 = 6*h. Let k = -16 + 16. Let a be 8 - (k + 0 + 4). Solve 5*u = 3*c - 24, -4*u + a*c - h = 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 0. Let o(d) = d**2. Let c be o(-2). Let t(y) = -5*y**2 - 3*y + 2. Let z(u) = -4*u**2 - 2*u + 2. Calculate c*z(q) + i*t(q).\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 52. Is 33 a factor of 1874\/v - (-28)\/(-154)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4410050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -512*v + 5. Let o be r(4). Let w = o + 12305\/6. Let q = 8 - w. What is the second biggest value in q, 4\/3, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10146428857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25.2 and -134168?\nAnswer: 134142.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 239987 divided by -21817?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 771*r**4*v + 38*r**3*v + 12*r**2 + 2*r*v - 129*v - 1 wrt r?\nAnswer: 18504*r*v + 228*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*p + 2*p = 3, -5*g = p + 5. Let x = 254 + -250. Which is the closest to x? (a) 0 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-180)\/(-70))\/(1\/7) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1009 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1185641*p**5 + 428*p**2 - 480*p.\nAnswer: 71138460*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -445*k**2 + 4*k - 333. Let p(r) = -1335*r**2 + 11*r - 999. Let y(m) = -4*p(m) + 11*s(m). Differentiate y(o) with respect to o.\nAnswer: 890*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90114 is divided by 29740.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 10*m**2 - 9*m + 4. Let j be i(-9). Suppose v - 3*z = -5, 3*v - 3*z + z = -1. Solve v = 3*t + j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.23376319 rounded to 3 decimal places?\nAnswer: -60.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((2 + sqrt(5) + sqrt(5))*-3 - ((sqrt(5) + -2)*-4 + sqrt(5))) + -1)**2.\nAnswer: 96*sqrt(5) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**4\/7 - 108*r**3\/7 - 28*r**2 + 108*r\/7 + 200\/7 = 0. Calculate r.\nAnswer: -25, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 12*q - 3. Let h(t) = 2*t - 292. What is h(s(l))?\nAnswer: 24*l - 298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 6b600740?\nAnswer: 6b600739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.81 and 6080752.72.\nAnswer: 6080754.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.52.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from {a: 2, h: 4, m: 3, c: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 + p**2 + p + 1. Let h be t(-1). Suppose 4*o + 12 = a + 5*o, -2*a = -5*o - 24. Solve q = h*q - a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -480 - -479.999743. Round i to five decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 19, 37, 73, 133, 223, 349?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30600 + -7861. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 4*f - 3. Suppose q - 3*t = -0*q + 10, 5*q - 30 = 5*t. Let j be 48\/8*q\/6. Determine s(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001101100101 (base 2) to base 9\nAnswer: 6726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 428 by -107.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*s**2 + 140*s - 140*s + (-2*s + 3*s - 2*s)*(-4*s - 3 + 3))*(0 - 1 - 4)*(-8*s + 14*s + 5*s) in the form x*s**2 + i*s**3 + w + k*s and give i.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 2 - -1 - -108. Let s = 1739 - 1800. Let o = b + s. Does 24 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 6\/17, 2\/7, 12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-22) - (-45)\/187. Let g = -0.81 + 0.01. Let j = g + -0.2. What is the closest to j in z, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -62. Let i be (-2*2\/(-30))\/(6\/m). Is -2\/3 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68023 is divided by 80.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/9 and 58\/39.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5568 = -4*d, 2*d + 918 - 916 = 0. Are v and 2785 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 855 - 4777 = -37*x. What is the greatest common factor of 3021 and x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 32, 86, 170, 290, 452, 662?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 18, 34, 52, 72, 94, 118?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 269879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1.7, -3, 1.3, -62 in ascending order.\nAnswer: -62, -3, 0, 1.3, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0 = 15. Solve f*y = 8*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 + 18*g**2 - 139*g + 139*g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17 and -0.012161?\nAnswer: 16.987839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 241 - 240.897. Let z = -0.297 - c. Put -2, 2\/19, 0.16, z in descending order.\nAnswer: 0.16, 2\/19, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*m**3 + 251 + 221 + 6*m - 92 - 2*m - 7*m**2 wrt m?\nAnswer: -126*m - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 234656, 234592, 234510, 234410, 234292?\n\"Answer: -9*r**2 - 37*r + 234702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o + 14*o + 88413 + 8*o**2 - 88413 - 27*o.\nAnswer: 8*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33227189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9 + 6 + 0*j - j. Let z be f(-5). Suppose b + b = 2*h + 276, 0 = -b + z*h + 137. What is b rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 5 + 5)*(-1 - 3*s + 1) + 4*s**2 + 5 - 8*s**2 + 5*s**2.\nAnswer: -8*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(-2*1\/3*21)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/10)\/3*-5. Calculate the remainder when 5 is divided by (-3)\/2*8\/y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u = 0. Let y = 75\/2 - 303\/8. Do y and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 413 + -368. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -13*h**2 - 16*h - 1. Let v(w) = 7*w**2 + 7*w + 1. Let a(u) = 11*v(u) + 6*z(u). Suppose 0 = 2*l - 4*l - 38. Let x be a(l). Solve -x = -0*q - q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/4*(-300)\/45. Let w(i) = 10*i - 4. Let s(t) = 14*t - 1 - 4 - 3*t. Let f(o) = n*w(o) - 4*s(o). What is f(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605209 is divided by 302558.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, and 1 u when three letters picked without replacement from tuxffufftxmmmmmfxmf.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -101 + 197. Suppose -5*t + 6*t - q = 0. Let j = 5 + t. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70513500*o**2 - 295820919*o wrt o?\nAnswer: -141027000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3269 >= 7484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 a factor of 10048971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 19\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1290 + -900. Let f = -390.0000167 + s. Round f to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10111, 81531, 275385, 652891, 1275267, 2203731, 3499501, 5223795?\n\"Answer: 10203*o**3 - o**2 + 2*o - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*y - 48716 = -219*y - 14660 for y.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -35481305 > -35481303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t = 0. Suppose t = -r + 2*a + 141, a = -4*r - 0*a + 600. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.7 - 9.3. What is the closest to h in -5, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 232?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 11) in base 16?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 13 = y, -4*y - b + 30 - 107 = 0. Let i be 0\/(-4 + y\/(-3)). Suppose i = -2*q + 3*n + 139, -3*q + 190 = -4*n - 18. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010555 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4085*l**2 + 1546*l - 30. Let p(g) = 8172*g**2 + 3092*g - 50. Let w(o) = -5*k(o) + 3*p(o). What is the second derivative of w(d) wrt d?\nAnswer: 8182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 41535756?\nAnswer: 415357560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1676 times 5.6555\nAnswer: 9478.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 4*f - 2*f)*(-3*f + 3*f - 2*f + 3*f - f - 4*f + (-4 - 2 + 2)*(-f + 0*f + 2*f)) to the form w*f + b*f**2 + x and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78939333.\nAnswer: 3, 11, 67, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1.243\nAnswer: 0.1243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 - 5*q**2 + 4*q**2 - 1 + q**3)*(7*q + 17*q + 7*q).\nAnswer: 31*q**4 - 155*q**3 - 31*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - p - 5. Let y be v(0). Let x = -3 - y. Suppose x*j - 7*j + 480 = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + 2*z)*(10*z + 11*z - 25*z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29\/10 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 3*a + 24 = -21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -834640*q**3 - 1071*q**2 + 308*q wrt q?\nAnswer: -5007840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -164. List the prime factors of n.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/(-7) + (24 - (21 + -18)) + (-1776)\/84.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 20. Suppose 0 = -c*d + 6*d + 4*d. Solve d = -4*q - 0*q + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14697 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3) - (-126239)\/123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 7600*z**2 + 7605*z.\nAnswer: -5*z*(z - 1)*(z + 1521)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b - 3. Let m be l(-2). Suppose m*i - 2 = 5*p - 7, -2*p = 2*i - 18. Suppose -4*r + 5*r = i. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/71 in 1\/6, 6, -1\/4, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 5 = 3*p + 3*u, p - 28 = 4*u. Let l(w) = 3 + 4*w - 3*w - 5. Give l(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 + 281*d**2 + 3. Let t(i) = -2*i**3 + 279*i**2 + 2. Calculate -2*g(k) + 3*t(k).\nAnswer: -2*k**3 + 275*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.24 (b) -1 (c) 3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -44, -43, -42?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271 a factor of 282124482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -5*w + 8. Let r be 70\/w*6\/(-30). Which is bigger: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 621, -2, 3, -3, 2, 7 in descending order.\nAnswer: 621, 7, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6718 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1475217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, u: 1, m: 1, p: 1, c: 1, x: 6}. Give prob of picking 1 m and 1 p.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15219342301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/3 - (2 - 0). Let u be 0\/((-3)\/d + 1). Solve u = -s + 1 - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 1 s when three letters picked without replacement from {s: 2, n: 1, j: 1, x: 1, r: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*l + 5*c = -79*l + 50, 4*l - 88 = -4*c. Solve -w - l = 4*o - 6*o, -2*o + 4*w + 30 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 89732314*b**2 - 1088*b - 89732317*b**2 - 2)*(3 + 1 + 0)*(0 + 3 - 1) to q*b**2 + y*b + u and give y.\nAnswer: -8704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, f: 2}. What is prob of sequence lffl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2728\/(-550) + 5). What is the highest common divisor of l and 12725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1397 and 78870.\nAnswer: 10016490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7024932, -4 in descending order.\nAnswer: 7024932, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-67)\/2*-2 + -2. Suppose 0 = 2*b, -26 + 2 = -4*l - 5*b. Suppose 0 = -l*a + 25 + m. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9529 + -6050913\/635. Suppose 10*w - 21 = 31*w. Which is greater: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(1\/(-1)))\/((-700)\/2380)\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/3 - 248*a**2 + 30752*a - 3813248\/3 = 0.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163 + 239. Let m = v - 76.5. Which is the biggest value? (a) 0.5 (b) 3\/4 (c) m (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 331 + -15. Let y = r + 2. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -415*r**2 - 4*r - 4. Let i be v(-1). Let g be i\/11970*45\/(-12). Let l = -2\/399 + g. Sort -2\/7, l, 3 in decreasing order.\nAnswer: 3, l, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60 + 739*p**3 - 54*p - 135*p**3 + 59 wrt p?\nAnswer: 3624*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - r = 2, 0 = 2*m + m + 2*r + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*x - 26, -4*h - 5*x = -33. Let w(k) = -h*k - k + 3*k + k. Let j(o) = -4*o. What is w(j(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -247 - -277. Calculate the remainder when 177 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a centimeter in micrometers?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 112 = 2*r, -r - f + 64 = 3*f. Let y be 3\/(44\/r + -1). List the prime factors of (y\/30)\/((-2)\/30).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/29? (a) -2220 (b) 2\/5 (c) 0.1 (d) 2 (e) 0.2 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 436245822 to the power of 1\/2, to the nearest integer?\nAnswer: 20886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30064 or 30070?\nAnswer: 30064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5\/4 + 851079*k**4\/4 - 3404259*k**3\/4 - 2553255*k**2\/4 + 7659603*k\/2 = 0. What is k?\nAnswer: -2, 0, 3, 283689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from ssszh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 2, -10.\nAnswer: -10, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 74. Solve q*t + 12 = 7*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 16*i - 14. Factor -7\/4*b + 7\/4*b**3 + 1\/2 - 1\/2*b**i.\nAnswer: (b - 1)*(b + 1)*(7*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*i + 4 = 2*g + 221*i, 4*g + 2*i = i - 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 182837244887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 170 - 110 = 0. Solve 8*n = z + 26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**4\/3 + 40*j**3\/3 + 196*j**2 + 1760*j\/3 + 1216\/3 = 0.\nAnswer: -4, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1)\/(20\/(-840)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(2 - 1 - 6)*(2*s - 4*s + 4*s + (0 + 1 - 2)*(0*s + 6*s - 3*s)) in the form g*s + z and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/49)\/(20\/(-14))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1040?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.64 * 183.\nAnswer: 483.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58.3017711 - -5092.3181809. Let o = -5146.62 + h. Let q = 4 - o. Round q to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/((-682)\/(-2409))*-2)\/(-3).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, i: 3, k: 3, r: 3}. Give prob of picking 2 e and 1 k.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -13*z**2 + 5*z**2 + 4*z**2 - 9 + z**3 - z + 10. What is g(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + k**2 - 3*k + 3. Let x be b(1). Sort -2, x, 5.\nAnswer: -2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2555488 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 24*h + 166. What is a(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 30 = -7*m. Is 127\/(-2*3\/m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.389 - 3.611. Which is the closest to -55? (a) t (b) 3 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*j**3 - 149*j**3 + 11*j**2 - 6 + 9*j**2 - 20*j**2 + 14*j to the form z*j + o + h*j**2 + t*j**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -38, -3, 18, 104 in increasing order.\nAnswer: -38, -3, -2, 1, 18, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 407 - 406. Let s = 5 - 0. Let h(j) = j**2 - j. Let w(t) = -4*t**2 + 6*t - 3. Give k*w(c) + s*h(c).\nAnswer: c**2 + c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 3*k**2 + 2*k**2)*(6 + 0 + 0)*(0 + k + 0).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 3 + -1*8. Let c be 24\/f*1\/(-12). Are c and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o + 6. Let y be s(5). Let m be 4\/y + (-663)\/(-91). Solve -4*h = -5 - m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v\/(v*v**(1\/4)))\/v)\/v*v**(-5\/3)\/v)\/(v*v*v**(3\/13)*v)**8 assuming v is positive.\nAnswer: v**(-4643\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 2*h**3 + 793. Let o(b) be the second derivative of b + 0*b**2 + 0 - 1\/6*b**3. Give y(o(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**4 + 256*f**3 - 5488*f**2 + 42240*f - 64512 = 0.\nAnswer: 2, 14, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.035 + -0.103. Round h to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 14*a**2 + 20. Let k be (7\/4)\/((-13)\/104). Let z be x(k). Solve z = 3*y + 5*i, 4*y - 2*i - 20 = -2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**5\/300 + r**4\/12 - 11*r**3\/30 + 147*r**2. Factor a(t).\nAnswer: (t - 1)*(t + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000070750833 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1*((-245)\/2 + 2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o = -1651 + 1621 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 4. Let h be z(-14). Is 15 a factor of (-3 - (-54)\/h)\/(2\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.19, 0.1, 2\/9, -0.021?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9*y + 102. Let m be t(0). Suppose -3*q = -3*u + 693, 3*u + 2*q = m + 591. What is the highest common divisor of 66 and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32137641 (base 9) to base 11\nAnswer: 8824537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11*g**2 + 23*g + 33. Let l(k) = -13*k**2 + 24*k + 32. Let n(i) = 6*l(i) - 7*u(i). What is the remainder when 197 is divided by n(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -14*n + 1076. Give x(68).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k + 21. Let o be j(-4). Let g be 1\/6*1652 - 2\/o. Suppose -6*z + 4*z = -g. List the prime factors of z.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29254021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 9. Let z(v) = v**2 - 6*v. Let t be z(5). Let c be u(t). Solve -c*i + 2*w + 6 = 0, i + w + 1 = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 + -68. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -18. Let l = -130 + 118. Let r = s + l. Solve -2*d - k = -2, -4 = d + k - r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -4) + 6 + 0 - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 - 10 + 10.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 1, r: 1, h: 1, f: 1}. What is prob of picking 1 h and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19*(-3)\/(-15) - (-36)\/45?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7291 + 14589 - 7297. Let b = -9 + 8. Let j(m) = -2*m**3 - m**2 + m + 2. What is b*j(d) + 2*t(d)?\nAnswer: 2*d**3 + d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 29499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -501*4418.4.\nAnswer: -2213618.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2\/95, -5?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202 (base 3) in base 11?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 7:43 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + v + v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 0.3 (c) 45 (d) 1\/2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 317506346*v - 332363308 wrt v.\nAnswer: 317506346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -28aa?\nAnswer: 28a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.42 and 229\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6144.394 litres in millilitres?\nAnswer: 6144394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(744*w - 737*w + w**2 + 66*w**2).\nAnswer: -134*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-26)\/(-18) - (-6 - -6)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14040\/48438*12\/(-200)\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-12))\/(-7*(-11)\/((-308)\/8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -257*z + 256*z - 12*s, -4*s = 2*z - 30 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y - 3 + 5 + 7*y)*(5 - 1 - 5)*(0 - 10 + 7)*(1 + 1 + 0) to the form x*y + k and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 - 8*z**2 + 1 - 1 in the form g*z**2 + p*z + k and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 7*g**2 + 21*g + 74. Give v(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z. Suppose z*n + n - 5*k - 24 = 0, -k - 8 = 3*n. Let y = -25\/154 + 1\/14. Is y smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89248875?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26559 divided by -8853?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 93016b + -16?\nAnswer: 930155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -611*m**3 + 613*m**3 + 2*m - 2*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 347844645 - 347844626.0000013. Let x = c + -19. Round x to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*a**2 - 2*a**3 - 21 + 36 - 16 + 4*a**2 - 3*a wrt a?\nAnswer: -12*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 64. Let i be (-119)\/(-51) + o\/6. Suppose -i*j = -10*j + 24143. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/71, 2871, 1, 0.011?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35892 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.065983 microseconds to hours.\nAnswer: 0.0000000239072175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124704117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 3*28\/12*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brbhe. What is prob of picking 1 e and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) - 13\/(-5). Let m be (-2*4\/(-120))\/(5589\/(-270) + 21). Which is the second smallest value? (a) m (b) d (c) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 12. Let z = -59 - -55. Let r be g(z). Let a be -3 - 0 - 2\/(r\/(-18)). Solve k - a*k + 5 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/9)\/(2 - (-24)\/6). Suppose 3*l - 11 = -5*d - 0, -4*d + 13 = l. What is the fourth biggest value in -2, l, 0.7, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*n - 90 = 414*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - n = 3*n. Solve 6*l - l = n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 2\/3*a**3 - a**2 + 0*a + 3. What is the second derivative of v(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -141161.2 and 1.\nAnswer: -141161.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3566111 is divided by 2904?\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011230171 to 4 decimal places.\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022222 - -121?\nAnswer: -2022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((x\/(x*x**(-2\/41)\/x))\/x))\/(x*x\/(x*(x\/((x*x*x**(-1\/22)*x*x)\/x*x*x))\/x)))**21 assuming x is positive.\nAnswer: x**(-75831\/902)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191\/42 - -29\/6. Suppose 5*k + 8 = k. Let a be -9*(4 - (-6)\/k). Are a and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2349883 + 0.235. What is h rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*v**4 - 139*v**2 + 139*v**2 + 2*v + 3*v - 3*v + 3*v**4 + (-v**3 + 0*v**3 - v**3)*(-1 + 1 + v).\nAnswer: 13*v**4 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b - 53*b + 14767 - 14767.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 6 - p + 5 - 5. Give q(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 44 = -68. Let b(g) = -5 - 4*g + 4 + 4*g**2 - 2*g**2. What is the remainder when t is divided by b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -625 - -1445?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*l + 2*l + 2*l)*(9 - 9 + 3*l) + 2 - 2 - 2*l**2)*(-1 + 0 + 3) as s*l + n + m*l**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t - 10 = 0. Let q = -1.9 + 2. Let n = q - 0.2. What is the third biggest value in n, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3.4. Let q = -0.7785 - -1.0785. What is the closest to 1 in -0.1, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/9 (b) 0.1 (c) 0.18 (d) -29.673\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 2612, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52260 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 - 3*c**2 + c + 2. Is x(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*i = 2, -2 = -5*z + 3*i + 3. Which is the nearest to z? (a) -3 (b) 2 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + -1 + sqrt(425) + sqrt(17) + sqrt(17) + (sqrt(170)*3 + sqrt(170))\/sqrt(10))**2.\nAnswer: -32*sqrt(17) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 3*o + 2. Let p = -20 - -42. What is the least common multiple of v(3) and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1964 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39998686 a multiple of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 964626773?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**2 + 0*p**3 - 59 - p**3 + 94 - 48 as h + w*p**2 + v*p + x*p**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.4 - -0.4. Let w = -0.1 - -1.3. Let m = w + s. What is the second smallest value in m, 1\/2, 4\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 27867, 1 in ascending order.\nAnswer: 1, 28, 27867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*p - 1625 + 17433 = -32 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*m**2 + 4\/5 + 0*m.\nAnswer: -(m - 2)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 + 3) - -3 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 23, 10, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55464176?\nAnswer: 2, 137, 25303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-336)\/(-882)*14\/(-12).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 16*z. Suppose 3*f = 4*f + 10. Let h be b(f). Let j be (h\/8 - 0)\/(4\/(-8)). Solve 5*k = -0 + j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 3*z + 15, -44*r + 16 = -3*z - 48*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 + 4*l - 4. Let i be u(1). Let o = i - -22. Solve 0 = 4*f - 3*a - 15, 6*f - f - o = 3*a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7087215077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d**2 - 2. Let v(m) = -29*m**2 - 9. What is -18*c(k) + 4*v(k)?\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1701*h**2 - 3399*h - 6.\nAnswer: 3*(h - 2)*(567*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 232\/32 + (-8)\/32?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 79519.45m?\nAnswer: 79519450000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 + 9*d**2 + 23*d - 4. Let x(j) = -j**3 - 3*j**2 - 8*j + 1. Let v(r) = -4*l(r) - 11*x(r). Suppose -237*o - 43*o + 358 = 1478. Give v(o).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 12:36 AM?\nAnswer: 276","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2028782 is divided by 1014383?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 244128700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17760524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2630392 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22670 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 38. Let d = 158 - 257. Let t = d - -92. What is the fourth smallest value in t, j, 2, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-7)\/(70\/(-285)). Let f = -50 + q. Suppose -x - g = -2*x - f, -4*x = -g + 25. Let v(c) = c. Give v(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 840, 837, 834, 831, 828?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 20*s - 897. Let p be d(45). Sort 462, p, -3, 0.\nAnswer: -3, 0, p, 462","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33190 and 0.0417.\nAnswer: -1384.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 8823*v**2 + 105360*v + 246036.\nAnswer: 3*(v - 2929)*(v - 14)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -7. Let n = -18 - -13. Let a be ((-7)\/5)\/(1\/n). Solve r*g - a - 3 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - o + 2*o)*(-14*o - 10 + 10).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/42 - -5\/14. Suppose -3*g + 7*g = -8. Let c = -2891 - -2895. What is the biggest value in g, x, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 8*u + 1. Suppose -3*d + 4*a - 2*a = -16, -4*d + a + 23 = 0. Suppose 35*z - 34*z + d = 0. Give n(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**6\/210 - l**5\/35 + l**4\/84 + l**3\/7 - 477*l. Let g(w) = 0. What is w?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 16. Suppose -46 - 62 = 12*b - 36. Give r(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 6*i**2 + 11*i - 6. Let b be a(-5). Is 11 a factor of (-20)\/(-16)*203 - (-27)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10248, -10202, -10120, -10002?\nAnswer: -9848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 1)\/(1\/311) is divided by 151.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - -3. Calculate the remainder when z is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -337 - -336.8. What is the nearest to j in 17, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 572 and 731718?\nAnswer: 16097796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*w - 7896 = -1728 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13370 is divided by 6526.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 12.4.\nAnswer: 99.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.043 + -0.957. Which is the nearest to -0.2? (a) -5 (b) 1\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -12*h. Let k(j) = -235*j. What is u(k(f))?\nAnswer: 2820*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 13, -2, -605, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1735*t - 520*t - 2 + 541*t.\nAnswer: 1756*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -28 + (5 - -13) + -9 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -10. Let i be (-3)\/(-7) - (-24608)\/91. Let q = i - 271. Which is the nearest to r? (a) -5 (b) q (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -9*z - 68. Let a be i(-8). Let d be 4*(15\/6)\/(-5). Let o = d + a. Put o, 5, 0 in ascending order.\nAnswer: 0, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-15.6547\nAnswer: 31.3094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.3. Let m = -20 - -15. What is the second biggest value in 3\/8, m, u, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (69 + -10 + -25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -307 - -312. Put -4, -20, l in descending order.\nAnswer: l, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4702257?\nAnswer: 3, 7, 101, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*x + 0*x - 521 = 0, x - 788 = 3*z. Let t = 267 + z. What is the second biggest value in t, 0.4, 38?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-14))\/(8\/(-308)). Let x = 27 - t. Suppose 4*y + 2*b = 44, -4*y - x*b + 56 = -0*y. What is the greatest common divisor of 6 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 22*o**2 + 18*o - 7. Let r = -125 - -102. Is 9 a factor of d(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.012, -2855, 2\/11, -0.1?\nAnswer: -2855","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 25*v**2. Let b = 257 - 151. Let o(x) = -53*x + b*x - 55*x. Determine o(a(h)).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(p + 0*p + 0*p)*(-p**2 + 2*p**3 + p**2 + (-1 + 1 - 2*p**2)*(-3*p - 5 + 5)) as r*p**3 + b*p**4 + y + k*p + v*p**2 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-112)*-8*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 + -32973?\nAnswer: -32994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 48.9. Let t = 0.331 - 0.331. What is the third biggest value in t, 4.5, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6011277 is divided by 398.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 25787803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r**5\/7 - 512*r**4 - 8452*r**3\/7 + 284224*r**2\/7 - 296806*r\/7 + 3520 = 0. What is r?\nAnswer: -160, -11, 1\/11, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-4)*(-7)\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -1 - 8\/2. Let n(g) = -g**3 - 3*g**2 + 5*g + 3. Let f be n(l). Let p = -4 + f. Sort 4, -1, p.\nAnswer: p, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 6*n**2 - n + 7. Let r be a(6). Suppose -5 = -5*j - f, -r = -2*j - f + 1. Which is smaller: -2\/7 or j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1397 smaller than -1404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**3 - 16*s**2 - 8*s + 79. Calculate p(-3).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let g(w) = 5*w - 10. Let f(a) be the first derivative of 11*a**2\/2 - 21*a + 21. Let d(q) = -4*f(q) + 9*g(q). Give p(d(c)).\nAnswer: c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/3*1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 11. Let v be z(-7). Let t be (v + 9)*200\/(-6). Suppose 0 = 7*j - 10*j + t. What is the greatest common divisor of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-138)\/(-8) - (-9)\/12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2395970 is divided by 149?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6 - ((-2)\/(-2424))\/((-947)\/566306).\nAnswer: -2\/303","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34242?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(200) + sqrt(200) + sqrt(200)*2))**2 + sqrt(119)\/(2*sqrt(7)*-2).\nAnswer: -sqrt(17)\/4 + 17\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-c + 0*c - c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 167, -2, -37, -1\/6, 1\/2?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - i**2 + i + 1. Let n be z(-1). Let t(w) = 0 - 2 + w + n. Let m(g) = -g**2 + 14*g + 5. Let j be m(14). Calculate t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) 30 (c) -124.547 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15751 - -928634.\nAnswer: 912883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - r. Let n(x) = 6*x**2 - 7*x. Let c(t) = -t**3 - 7*t**2 - 13*t - 11. Let a be c(-5). Suppose 0 = -18*h - a + 76. Give h*n(o) - 28*g(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*(-8)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10741.32 and 1.29?\nAnswer: -13856.3028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10359495563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 7, 16, -2\/9 in descending order.\nAnswer: 16, 7, -2\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.34 - 2208209466\nAnswer: -2208209465.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 9570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 315.5541 to one decimal place.\nAnswer: 315.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -7932)*2\/4*2. Suppose -3*y + i + 2437 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/15 and 303\/15*3\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -153*q - 6719 + 853*q**4 + 152*q + 17364 wrt q?\nAnswer: 3412*q**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -16. Let p = 5.6 - 6. Let r = p + 0. Sort v, 0.2, r.\nAnswer: v, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924022 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 - 2*b + 2*b)*(1 + 3 - 3) + 16 - 55 + 18 - 11295*b**2 - 12219*b**2 + 21 as v*b + l + g*b**2 and give g.\nAnswer: -23513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*((sqrt(78) - (sqrt(78)*-2*-6 - sqrt(78))) + sqrt(78))\/(3*sqrt(150)))**2.\nAnswer: 6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**3 + 2*p**2 + 3*p - 3. Let z(n) = 5*n**3 + 2*n**2 + 2*n - 2. Let j(a) = -3*m(a) + 4*z(a). Suppose 2*g = 9 - 13. Determine j(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = -0*v. Let d = v - 2. What is the closest to -0.1 in 1\/6, d, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h**2 + 7*h**2 + 8*h**2)*(437*h - 193*h + 105*h)*(-5*h**2 - h**2 + 5*h**2) + (h**3 - 5*h**3 + 2*h**3)*(2*h**2 + 3*h**2 - 4*h**2).\nAnswer: -2445*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d. Suppose -3*i + 6 = -d*i. Does 12 divide (-2)\/2 - (i + -27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-35) + (-4941252)\/(-4060) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 21*g**3 - 5*g**2 - 5. Let p(o) = 84*o**3 - 21*o**2 - 21. Give 5*p(v) - 21*t(v).\nAnswer: -21*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427049?\nAnswer: 7, 61007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/219 + -433\/1095. Let b = -8 - -8.3. Sort -3\/2, b, z.\nAnswer: -3\/2, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -650? (a) -8 (b) 2\/3 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 8 - 5 + 136*u - 121*u. Let m be n(-16). Suppose m*b + l - 43 = 2*b, 0 = 3*b + 5*l - 133. What is the remainder when 203 is divided by b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5148746833 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 11545*t + 209. Let i(c) = 2887*c + 50. Let m(h) = 9*i(h) - 2*q(h). Differentiate m(a) wrt a.\nAnswer: 2893","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 12*i - 157. Let d be c(-8). Let o(q) = 4*q - 2. Let j(u) = -7*u + 5. Let b(g) = 11*g - 8. Let v(y) = 5*b(y) + 8*j(y). Determine d*v(l) + o(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*d = 70, -4*d = -3 - 1. Does 37 divide (128\/2)\/(w\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(24 - 14315\/595).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107779\/1060 - -153\/212. Let d = -6606\/65 + k. Which is the second smallest value? (a) 2\/9 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*z - 183*z + 72*z + 48*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**20*j)\/j**(2\/51))\/((j*j**15)\/(j\/(j\/(j*j**(-1\/10))))))**(-19) assuming j is positive.\nAnswer: j**(321119\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78924199 to the nearest integer?\nAnswer: 8884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:05 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqj when three letters picked without replacement from {t: 4, q: 1, n: 1, r: 8, j: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -91 (c) -0.5 (d) 4 (e) 0.62 (f) -2\/25 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 644456 (base 7) to base 14.\nAnswer: 2cb9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 23 + 29 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 14. Suppose -5*b = -b + 28. What is the second biggest value in p, b, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108552789.\nAnswer: 3, 41, 294181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*i - 19 = -i - 156 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 16*j**2. Let f(u) be the second derivative of u**5\/10 + 21*u**2 + u - 4. Let z(l) be the first derivative of f(l). What is r(z(c))?\nAnswer: 576*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 139662192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r - 10 = 0. Suppose b = 4*q - 26, -2*q + 11*b - 9*b = -10. Find the third derivative of 3*v**5 + 6*v**5 + 0*v**5 - q*v**r wrt v.\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*y + 208*y + 5 = -370 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - i + 1. Let u(s) = -11*s**2 - 2*s + 4. Suppose 4*y + 11*y - 30 = 0. Determine y*k(g) - u(g).\nAnswer: 9*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 2)\/2*-2. Find the second derivative of -20*g**2 - 2*g + 20*g**y - 9*g**3 wrt g.\nAnswer: -54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 c when three letters picked without replacement from {c: 3, n: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1) + -3 + (-1961)\/(-653). Let t = g + 639\/4571. Determine y so that t + 0*y - 1\/7*y**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p - 1. Let l = 31 - 25. Suppose l = -t - 5*t. Calculate u(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156*v**3 - 3 + 128*v + 1 - 126*v + 2 to the form s*v**3 + r + m*v**2 + q*v and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -73226668019608 - 19\nAnswer: -73226668019627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*i**6 - 8*i - 6*i + 10*i**2 + 14*i wrt i.\nAnswer: 960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 18 + -2 - 4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1202, 2411, 3620, 4829, 6038, 7247?\n\"Answer: 1209*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2844 and 6818569.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v + 78. Let x = v - -288. Suppose r = 4*r - x. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*n - 6 = -5*v, -2*n - 3 = -v. Sort v, -3, -2, 0 in decreasing order.\nAnswer: v, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k. Let u be t(1). Let b(y) = y + 8. Let i be b(-7). What is the closest to 0 in -2\/5, u, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - a**2 + 4)*(2*a**2 - 3*a - 4*a + 6*a).\nAnswer: -2*a**4 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 165*l. Let z(o) = 8*o**2 + 1701*o - 2. What is z(a(h))?\nAnswer: 217800*h**2 + 280665*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v = -q + 3*q, 5*q - v = 0. Let f = 19 - 16. Let d = 10 + -5. Sort d, q, f in ascending order.\nAnswer: q, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15058*n - 5158. List the prime factors of g(2).\nAnswer: 2, 12479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 11*x - 30. Let u(q) = -q**2 + q - 8. Let g(c) = l(c) - 4*u(c). Calculate g(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 1. Let f(z) = 9*z**3 - 9*z**2 + 14*z - 1. Let h(m) = -f(m) - 4*q(m). Give h(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625350.\nAnswer: 2, 3, 5, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c - 2*c + 4*c**2 - 2*c. Let j be u(1). Let a = 8 + -13. Put a, j, 5 in decreasing order.\nAnswer: 5, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 12, 1, 5, 16 in descending order.\nAnswer: 16, 12, 5, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k - 223. Let i(d) = 6*d - 223. Give -4*i(g) + 5*q(g).\nAnswer: g - 223","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14627 = 1324*c + 6557 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = -1. Let f = 3 - a. What is the second derivative of -r**2 + 2*r**2 + 2*r + 0*r**f wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (122*m - 123*m + 2 + 3)*(2*m**2 - m**2 + 0*m**2) to the form z + r*m**3 + c*m**2 + v*m and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 166.7 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u - 6480. Let m be (-1)\/8 - 302\/u. Let t = 49\/270 - m. Which is the biggest value? (a) -2\/7 (b) 2\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.5, 2, 205, 1, 17.05, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4\/3 + 9971*s**3\/3 + 650497*s**2 - 1981399*s\/3 - 3922918\/3 = 0.\nAnswer: -193, -1, 2, 10163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 816377 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608*j - 19509 = -4309 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 6*w**2 - 19*w - 93. Determine s(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 90030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 c, and 1 l when three letters picked without replacement from ccezhll.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5\/9 - 2281*h**4\/9 + 6973*h**3\/9 + 276481*h**2\/9 + 29692*h = 0.\nAnswer: -2284, -9, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -81. Calculate the highest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 3*f + 0*f + 4*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*u + p, -2*p + 0 + 4 = -u. Suppose 0 = 343*i - 340*i - 6. Solve 4*a = v + a - u, -4*v + 3*a = i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75011366, 150022749, 225034136, 300045527, 375056922, 450068321?\nAnswer: 525079724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 48*d + 1 + 0 + 2 - 93*d + 46*d. Let h(j) = -j - 2. What is -4*h(s) - 5*n(s)?\nAnswer: -s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1330 and 67099830?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37 + 3 + 3 + -1. Let t be -1 + (-3)\/(p\/(-1772)). Let x = 126 - t. What is the common denominator of -36\/5 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9928 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 6. Let s(v) = 109*v - 1. Determine 3*q(c) + s(c).\nAnswer: 106*c + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/10810 and 61\/490774.\nAnswer: 2453870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20238, 20239, 20240, 20241?\n\"Answer: s + 20237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -13. Let d be 6*(-3)\/a + (-113)\/(-5). Suppose d*l - 26 = 10*l. Solve -5*b + 4*w = -b, -l*b = 4*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (20774\/(-1008))\/(-13) - (-660)\/(-1155)?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = o - 12*q + 72, 5*o + 5*q - 53068 = -53058 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6 + 7*q - 7 - 9. Let o(r) = -8*r + 11. Let j(g) = -3*o(g) - 4*z(g). Find the first derivative of j(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 26857.\nAnswer: 80571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**3 - i**2 - 3*i + 3. Let h be l(1). Solve -3*v - 11 = a, -h*a + 6 - 22 = 3*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*s - 4 - 43 = 0, -3*o + 30 = 2*s. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -477*k + 443*k + 102 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70663715, -141327424, -211991133, -282654842, -353318551?\nAnswer: -423982260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by (-1)\/((-510)\/(-57) - 9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4452 = 8*p - 204. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/7 + 48*h**4\/7 - 368*h**3\/7 + 960*h**2\/7 - 800*h\/7.\nAnswer: -2*h*(h - 10)**2*(h - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 - 38 = -3*l. Suppose -4*q + l = 34. Suppose -q*c - 1555 = -7*c. Round c to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1315037 hours in days?\nAnswer: 0.0471459875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 120\/75 - (-10)\/25. What is the fourth smallest value in -2\/7, i, -4\/25, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*k - 72, 2*k = -2*v + 6*v + 88. Suppose -6*m - 63 - 111 = 0. Let o = v - m. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*c - 107*c**2 - 157*c**2 + 325*c**2 in the form p*c**2 + n + o*c and give o.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**2. Let w be l(-1). Suppose w*r - h = -1052, -3*h - 2*h = 5*r + 1040. What is r rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117 times 2125.92\nAnswer: -248732.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 220*w - 77. Let b(o) = 17*o - 6. Let y(g) = -77*b(g) + 6*m(g). Let k be (-5)\/(-4) - (-9)\/(-36). Calculate the least common multiple of 3 and y(k).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 - 1. Which is the nearest to 2? (a) -1 (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 1547405?\nAnswer: -1547403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34, -157, -362, -649, -1018?\n\"Answer: -41*q**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 277*r**2. Let c(i) = 2*i**2. Give l(c(v)).\nAnswer: 1108*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 + 132. Let v = 4 - 3. Solve l = -2*w - 3 - v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let i(y) = -6*y**2 + 3*y. Let b(p) = -p**2 + p. Suppose 4*h = -2*o - 14, 13 = -21*o + 20*o - 4*h. Give o*i(f) + q*b(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 48 = 3*k, -5*k + 422 = 437. What is the remainder when 1167 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13355678 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-16)\/(336\/77)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - -0.79. Let h(t) = t + 15. Let q be h(-10). Let g be (-85)\/51*(-2)\/q. Which is the smallest value? (a) 2\/5 (b) -4 (c) y (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -77)*(-39)\/(-26). Suppose 3*d + 256 = -d. Let l = d + w. Is l a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a + 367 + 369 - 1107 + 40*a + 369.\nAnswer: 79*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*c = -27, 2*z = 3*c - 0 + 9. Let y(f) = 3*f + 43. Calculate the remainder when z is divided by y(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/9*-1*320. Suppose -2*a = -6*a + p. Let y(n) = -4*n + a - 80. Let j(c) = 3*c**2. Determine j(y(t)).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120.54 + 120.77. What is the closest to 0.2 in -3, -2, 6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78039*v**4 - v**2 + 15*v - 191 wrt v?\nAnswer: -1872936*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330103 + 11?\nAnswer: 330120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**20*h*h**(-25) assuming h is positive.\nAnswer: h**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4648, 37077, 125118, 296587, 579300, 1001073, 1589722?\nAnswer: 2373063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**2 + 4*y**2 - y**2)*(1 - 1 - y + y - 3 + 3 + (-3 - 1 + 6)*(-y + 3 - 3) - y + y - 2*y + y - 2*y + 2*y + (-5 + 1 + 3)*(0*y + 0*y - y)).\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/4 - (-286)\/8. Let n = 53 - 14. Let h = n + z. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 39 - 18. Let y = 0 - -3. Suppose -5*n + 113 = -y*x, -2*n + 4*n = -s*x + 41. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + 1 = 67 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 - 24\/8*13\/(-1) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, s: 8}. Give prob of sequence skk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1108*y - 378. Is x(-6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8*c + 2)*(-5*c + 42*c + 29*c) + 3 + 4*c**2 - 4*c**2 - c**2.\nAnswer: -529*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*u - 21*u - 73*u)*(-6*u**3 + 2*u**3 - 7*u**3).\nAnswer: 1606*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from aii.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqge when four letters picked without replacement from {e: 4, q: 1, z: 5, g: 8}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 + 2*t**2 + 20*t - 169. What are the prime factors of c(13)?\nAnswer: 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56121133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p + 4*p)*(-4*p**4 + p**4 + 4*p**4).\nAnswer: 7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-50) + 475926\/10. Let t = 28182 - z. Let q = -30410 - t. Round q to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n - 31*n - 71*n.\nAnswer: -124*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 8:39 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**7\/280 + j**6\/180 + 2*j**3\/3 - 2. Let b(i) be the third derivative of n(i). Find the third derivative of b(x) wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 12) to base 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21 + -da4d?\nAnswer: -da6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*h = -379*h + 195. Solve 26 - 91 = -h*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1730*j + 5163 = 24642 + 8201 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6163419 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 3. Suppose 62 = j + 61. Let r be u(j). Suppose -11*w + 16*w - 63 = r*c, -4*c + 5*w - 101 = 0. Round c to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -0.6 (b) 4 (c) -822 (d) 2\/5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 2*o**2 - 2*o**2)*(-o + o + o) + 3*o**3 - 2*o**3 - 3*o**3 + (-o + 4*o - o)*(3*o**2 + 3*o**2 - 4*o**2) - o**3 + 0 + 0.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10760432 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3561 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157716.5 + -0.4.\nAnswer: -157716.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -659*f**6\/2 - 5711*f**4\/12 - f**2 - 9662*f. Find the third derivative of r(s) wrt s.\nAnswer: -237240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 7:50 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-6)*-4*-3. Let o be (h\/(-1))\/18*2. Let w(a) = a**3 + 11*a**2 - a - 11. Let c be w(-11). Is o >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**5\/20 + k**4\/4 - 2*k**3\/3 - 5*k**2\/2 + 86*k. Calculate z(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1 + -3 + 31. Suppose -2*m + 36 = -0*m. Let a = k - m. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 3875*r + 65 - 56.\nAnswer: -3875*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795.\nAnswer: 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631785 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 + 8.12. Let o = -7.9999614 + h. What is o rounded to six dps?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ec (base 15) in base 7?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, -0.5, -2\/31, 520, -35?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 206*x + 30 = -209*x, -4*x - 26 = 2*m. Let z = -11 + 9. Which is the nearest to -1? (a) m (b) z (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 4*y**2 - 2. Suppose z - 2 = -2*v, -5*z - 25 = -2*v + 1. Calculate x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10114, -10097, -10078, -10057, -10034, -10009, -9982?\n\"Answer: z**2 + 14*z - 10129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -19. Suppose 2014 = 5*p + i, 0 = p - 5*p - m*i + 1608. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 2958.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 5. Suppose j*y - 76 = -4*p, 5*p + 0*p + 2*y = 98. Suppose 0*n = -2*n + p. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145717 is divided by 763?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (157 - 153)*(-6)\/44*1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 55.1, 4, -4, 0.02 in descending order.\nAnswer: 55.1, 4, 0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 a when three letters picked without replacement from xaxaaaixia?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 6*l + 58*l**2 + 7*l.\nAnswer: 58*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0105194131 rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -363280000 to the nearest one million.\nAnswer: -363000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**5 + 3940*f**4 - 81030*f**3 + 379060*f**2 + 464035*f = 0. What is f?\nAnswer: -1, 0, 11, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134162*i**2 - 308349860*i + 177173186450 = 0.\nAnswer: 297635\/259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 244, 481, 720, 961, 1204, 1449?\n\"Answer: f**2 + 234*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from lyypcypypy?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -703 - -1385\/2. Let t(b) = 2*b - 14. Let v be t(9). Find the common denominator of (v\/6)\/(156\/(-65)) and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o - 13*o**2 + 8*o - 2*o as s*o + j*o**2 + x and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 3*v**2 - 9*v - 2. Suppose 5*l + 110 - 55 = 5*u, 1 = l + 3*u. Let w(m) = -9*m + 14. Give l*a(x) - 5*w(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3843 and 220149.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2 = 3. Suppose 0 = 5*b - 6*b + 5. Suppose z + 3*w = b, 10 = z + z - 3*w. What is the greatest common factor of r and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5) + 18\/10. Let v(l) = 0*l**2 + l**2 + 0*l**2 - o*l. Calculate v(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069896 rounded to 3 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 4:37 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = k + 3 - 61, 0 = -4*k + 5*m + 132. Let l = k - 22. Let y(o) = -16*o - 3. What is the remainder when y(-4) is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -231 in -27, -1\/2, 35?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/9)\/(-2) + -20*90\/(-648). Let i(d) be the first derivative of -24 + 0*d + 31\/2*d**2 + 29\/3*d**a. Find the second derivative of i(y) wrt y.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a9 - 13?\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 305960754, 611921508, 917882260, 1223843010, 1529803758?\n\"Answer: -n**2 + 305960757*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/55 + 24\/(-10). Let u(g) = -2*g**2 + 3*g**2 - 3*g + 0*g**2 - 3. What are the prime factors of u(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n - 9*n - n**3 + 32*n + 13*n**2. Let x be l(14). Factor 0*f**2 + 0*f - 1\/3*f**5 + x*f**3 + 1\/3*f**4 + 0.\nAnswer: -f**4*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2461 (base 9) in base 15?\nAnswer: -827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-2)\/693*9.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14388694 or 14388695?\nAnswer: 14388695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4800717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*h - 10. Let l be (4 + -1 - 1)*4\/(-2). Let k = h - l. Solve w = -w + k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 6*y - 7. Suppose 0 = -4*v + 5*v + 80. Let t = v + 88. What is w(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 5*r - 22. Let l be x(-7). Sort -0.5, 0.2, 5\/4, l in ascending order.\nAnswer: l, -0.5, 0.2, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 180176*z + 180178*z = -3, 0 = -11*u - 4*z + 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 107730 and 43092.\nAnswer: 215460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*j + 1, -2*r - 2*j - 3 + 1 = 0. Let i = -145 + 136. Let w = r - i. Solve 5*g = 9*g + w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -0.487, -16, 0.06?\nAnswer: -0.487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13314955 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*a + 1 = 0, 0 = -4*d - a + 1 + 3. Let r(n) = -n**3 - 41*n**2 + 84*n - 81. Let b be r(-43). Sort b, -2, -19, d in descending order.\nAnswer: b, d, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 211.5 + -211.6. Sort 2, -0.07, w in increasing order.\nAnswer: w, -0.07, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Suppose -3 = -2*a - 5, -3*a = g*b - 177. Suppose 2*r = 244 + b. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2272281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 772578733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-1)*((6 - 1) + -4). Let p be c\/(-5)*20\/8 - -3. Suppose -x = -2*l - 3*l + p, -3*x = 3*l - 42. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 19*r + 14. Determine u(9).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1997506914 rounded to 3 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.736 + -0.176. Let n = b + -3.92. Round n to 1 dp.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 674.\nAnswer: 7\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3502*h + 3498*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 4, 8\/25, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1245101\/144 - -8647. Let a be (-8)\/18 - 3\/1188*-563. Let c = a - 1603\/132. Find the common denominator of c and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 6. Let g be y(4). Let a be (-3 + 7)\/(-1 + g). Solve -12 - 4 = -a*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242131?\nAnswer: 17, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/(-343)*(-5)\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 5:19 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 652 + -640. Let l be (0 - 10)*(-12 - -6). What is the highest common divisor of w and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 0.2, 0.89, 198, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2860 + 2896 = 6*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51301\/3 or -17100?\nAnswer: -17100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 382963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.66? (a) -2 (b) 5 (c) 687 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 749799893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -2*n**7\/105 + n**6\/6 - 2*n**5\/5 + 37*n**2 - 38*n. Let t(c) be the first derivative of s(c). Factor t(g).\nAnswer: -4*g**2*(g - 3)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6993*w - 6774*w = -6789 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5 + 4978*n**4 + 94132*n**3 - 441282*n**2 + 342171*n = 0. Calculate n.\nAnswer: -4959, -23, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (513\/95)\/(26\/(2080\/48))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 122798, 5, -4 in decreasing order.\nAnswer: 122798, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 264999 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: Calculate the lowest common multiple of 203 and 15.\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -3. Let u = o + -3. Suppose -u*v + 19 + 14 = 0. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 18*g - 211. Calculate v(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(448))**2 - (-3 + sqrt(7) + 4).\nAnswer: -2689 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**3\/6 - 2*a**2 + 139*a + 2. Suppose -4*x - 4*j + 18 = -2*x, 4*j = x + 15. Let i be h(x). Is i less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o - 3. Let d be r(5). Let m = d - 10. Suppose 0 = m*y + 5*l - 41, -4*y - 3*l + 74 = y. What is the remainder when 37 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 26. Suppose o + 1 = -5*f. Let y = f + 5. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291852.\nAnswer: 2, 322963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225314514?\nAnswer: 2, 3, 29, 143879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 31. Let r be o(10). Solve -3*z = 5*v - 0*v + r, 2*z - 4*v - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2142 and 2528648?\nAnswer: 159304824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5*a = -69, -6*m + a = 97 - 320 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5138, -10401, -15674, -20963, -26274, -31613, -36986?\n\"Answer: -j**3 + j**2 - 5259*j + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1298 + -0.5028. Let j = 1.323 + -1.25. Let r = g + j. Which is the biggest value? (a) r (b) -4 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4254000 to the nearest 10000.\nAnswer: 4250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1635 - -1623. Let f(p) = p**3 + 11*p**2 - 9*p - 11. Give f(a).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -324 + -32044012?\nAnswer: -32044341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (142 - 162) + (-1 - -11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 202*5\/(-990) - 2*7\/(-126)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 252 + -258.7. Does -1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(10) + 4*sqrt(10)))\/(sqrt(288)*-3).\nAnswer: -25*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1983 + 1736. Put s, 0.2, 0.4 in increasing order.\nAnswer: s, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 38484 = -2*h. List the prime factors of (-2)\/(-6) + h\/9.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9*o**3 - 4*o**2 + o + 3. Let v(n) = -8*n**3 - 3*n**2 + n + 2. Give 5*k(f) - 6*v(f).\nAnswer: 3*f**3 - 2*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lss when three letters picked without replacement from {s: 10, l: 1, a: 1, y: 2, u: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -30 - 18. Let l(f) = -15*f + 3. What is the tens digit of l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -11*b**3 + 4*b**2 - 4*b - 9. Let f(x) = 5*x**3 - 2*x**2 + 2*x + 4. Determine -9*f(j) - 4*s(j).\nAnswer: -j**3 + 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/20 in -5, -3\/8, 7.7, -4\/5, 0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 40, 39?\n\"Answer: -g + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 3. Let g be x(3). Let f(r) = g*r - 10*r + 7*r. Let c(q) = -15*q**2. Give f(c(p)).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7320, -7373, -7426, -7479, -7532?\nAnswer: -7585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-75)\/1215*-9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.921 + 11.079. Is 0.026 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*p, 2*a + 2*a + 3*p - 11 = 0. Suppose 0 = a*b + 2622 - 9482. Let q = b - 75411\/22. Calculate the common denominator of q and -47\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-4) - (-1)\/(-4). Let f(m) = -4 - 3 + 4*m - m**3 + 2*m**2 - 6*m**q - m. Give f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -4.9. Let i(j) = -j**3 + 42*j**2 - 422*j - 71. Let m be i(25). What is the second smallest value in -0.5, k, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43 or 41?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/14)\/(29\/((-13195)\/26))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(1 + -1 + sqrt(72)*1 + 1 + sqrt(72) + 2 + -2))**2.\nAnswer: 240*sqrt(2) + 7204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 7*q - 15. Let m be f(9). Let u(y) be the second derivative of 1\/2*y**2 + 0 + m*y + 1\/2*y**3. Find the first derivative of u(o) wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(-20))*x**(1\/4)\/x assuming x is positive.\nAnswer: x**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35562202 and 3250.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2 - s + 2*s**2 + 0*s - s. Is n(5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - l + 1 = 18*t, 3 = -2*t + 3*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8041612 centimeters?\nAnswer: 0.000008041612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37244419 - 1692736?\nAnswer: 35551683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/15 + 8202\/30. Let g = c - 121. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 7*l = 40 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1871394 and 714?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5)*m)\/(m**(-2)*m))\/(m**(-7\/6)*m*m**9*m*m*m) assuming m is positive.\nAnswer: m**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/2 - 1*-57. Suppose 6377 = p*b - 47*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*(-69)\/345.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 246*n**2 - 1002*n + 637. Let h(b) = -b**3 + 3*b**2 + 4*b - 2. Calculate the remainder when s(250) is divided by h(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*w - 845*w + 310*w + 456*w.\nAnswer: 166*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/12 and 1\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 31*g**3 + 2*g + 1. Calculate a(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**4\/4 - 5*p**3\/3 + 3*p**2\/2 - 25*p. Suppose 2*t = 11 + 3. Is j(t) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26332 to 3 dps.\nAnswer: 0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - l. Let r be o(4). Let a be (-6)\/4*r\/(-9). Let u(s) = 5*s + 1. What are the prime factors of u(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.84422 litres to millilitres.\nAnswer: 25844.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**3 + 3*d**3 + 0*d**3)*(2 + d - 6 - 2)*(5 - 2 - 2) as n + x*d**4 + s*d**2 + h*d + y*d**3 and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 2*c + 31. Suppose -16*s - 225 = -17. Is p(s) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 10. Let x be s(-5). Solve -3*b + b = 2*c + 2, x = -c - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 4*j + 0 - 2)*(-1 + 4 - 7).\nAnswer: 4*j + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9548*d - 1159. Is z(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 14 = -n. Let j = 67 + -64. Calculate the remainder when n is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/l**0)\/l)**(5\/2))**(31\/4) assuming l is positive.\nAnswer: l**(155\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**24*(x**(-3)*x*x*x*x)\/x)**(-8\/5) assuming x is positive.\nAnswer: x**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (132\/(-15))\/(-11)*5. Suppose 25*n - 2*g = 22*n + 8, -n - g = s. Suppose -27\/2*l**2 + 21\/2*l**5 + n - 3*l - 15\/2*l**3 + 27\/2*l**4 = 0. Calculate l.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*p + 10. Let y be (3 - 1) + -9 - -1. Calculate the remainder when 8\/5*(-45)\/y is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26329 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10636 + -10643. Sort 0.4, d, 0.026.\nAnswer: d, 0.026, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Suppose -b + g = -0*b. Suppose -6*f + b*f + 22 = 0. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-62)\/(-930))\/((-11)\/(-2805))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17438 - 19343. Is x bigger than -1910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3744567 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 203\/796155?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 14*i + 0 - 56*i + 41*i + 5. Give k(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50*a**3 - 23*a**3 - 2*a**2 + 104*a**3)*(5*a + 5*a - 2*a) as d*a**4 + y*a**2 + w + r*a**3 + u*a and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 789036 and 79692636?\nAnswer: 79692636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 688839*z**2 - 229611*z**2 - 3*z**3 - 229612*z**2 - 229616*z**2 + 0*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -65, -78, -91, -104?\n\"Answer: -13*h - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 60?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113654213 (base 7) to base 11.\nAnswer: -3a89a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*y - 13, -5*q + 4176 = 4*y. Suppose 4*u - q = -2*a, -2*u = a + 2*u - 410. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 31 - 35. Let q be 14\/d + -3 + (-124)\/(-294). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + z + 45 = 0, 2*s + 5*z + 125 = 2*s - 6*s for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from mdkiid.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + 282. Is 62 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -75, -312, -707, -1260, -1971, -2840, -3867?\n\"Answer: -79*s**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*d = -221*d + 446*d + 4*a + 2*a - 30, -3*a + 63 = -9*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4 - 1)\/((-9)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246 and 30176.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, g: 6, y: 2, l: 1}. Give prob of sequence gdy.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 93 and -8161506.\nAnswer: -8161413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -3*t**6\/40 - t**5\/60 + t**4\/3 + 4*t**3\/3 - 153*t**2. Let s be j(-1). What is the greatest common factor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3963757 to the power of 1\/2, to the nearest integer?\nAnswer: 1991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - (2 + 0)\/(-2). Suppose -1 - 3 = -m. Find the common denominator of 11\/16 and (-10)\/g*29\/m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 153*h + 1641. What is c(36)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -63, -101, -137?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c - -65b503?\nAnswer: 65b4b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 58 = -2*o + o, 5*o - 2*q = -272. Let y = o + 99. Let s(d) = d**3 + 5*d**2 + 5. Let u be s(-5). What is the greatest common factor of u and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -567.7 + 545. Let r = i + 23.7. What is the third biggest value in -3, 3\/2, r, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-27)*2*(-6)\/20)\/(48\/900)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 321e + -1f2?\nAnswer: 302c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 2*l + 10*l)*(-3 + 0 + 2)*(-3*l + 3*l - 5*l) to j + i*l + q*l**2 and give q.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 2*t**3\/3 - 91*t + 49. What are the prime factors of u(-17)?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 13) in base 7?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 5) to base 15\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, -2\/9, -40, 82, -3 in increasing order.\nAnswer: -40, -5, -3, -2\/9, 14, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 639, 1623, 2601, 3573, 4539?\n\"Answer: -3*k**2 + 993*k - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 0.5 (b) 1\/3 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 8*z - 7*z. Let j = -149 + z. Calculate the greatest common factor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five halves of a day?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + x**2 + 4*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*h = -2116, 3*s + 4*h - 9*h - 1561 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**3*q**2 + 54*f**3*q + 66*f**3 - 143*f**2*q - 23*f*q**2 + 2*q**2 - 21 wrt f.\nAnswer: -30*q**2 + 324*q + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5971 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-1\/11)*v**4*(v**3)**(-3\/50))**(-1\/27) assuming v is positive.\nAnswer: v**(-3251\/14850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29034 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 232 - 197. Suppose -k + 33 = -2*v + 26, -5*k = 4*v + c. Sort 4, 12, 0, v in decreasing order.\nAnswer: 12, 4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**4 + 138*h**3 - 6141*h**2 - 265260*h - 504900 = 0. What is h?\nAnswer: -55, -34, -2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2825 and -35.\nAnswer: -98875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75936530078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-2 - (-10 + 9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p + 22*p + 18*p**2 + 19*p**3 - 42*p.\nAnswer: 19*p**3 + 18*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4621144 (base 7) to base 15.\nAnswer: b5ce4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-7227)*-73 - 5\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102924 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 7. Suppose -2*q + 16 = -2*s + 2*q, -3*s - 2*q = 16. What is the units digit of g(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31\/76 - 3\/19. Which is the nearest to 1? (a) 6 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**6\/225 + 7*p**5\/75 - 2*p**4\/3 + 8*p**3\/5 + 197*p. Factor f(o).\nAnswer: -2*o*(o - 6)**2*(o - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1436*h. Let d(i) be the third derivative of i**4\/24 - 235*i**2 + 6*i. Give d(q(b)).\nAnswer: 1436*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3, -2\/9, 4, 6\/7, -1\/10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396\/(-42) - -10 - (-385749)\/49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 4330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*k = -58, 4*k - 18 = -q + 3*k. Let f = -31 + 22. Let s = 14 + f. Solve -4*v + q = s*l, -2*l = -4*v + 2*l + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - k + 2. Suppose 4 + 14 = -3*d. Let z be m(d). Solve -43*n**3 - 7\/2*n - 73\/4*n**2 - 16*n**5 - z*n**4 - 1\/4 = 0 for n.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 342 + -314. What is the remainder when 52 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 9:10 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 9*t + 0 - 7*t)*(28*t**3 + 24*t - 24*t).\nAnswer: 56*t**4 + 28*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*w = -53, -m + 4*w = -0*w - 17. Let a be 4*2\/4 - 21. Let b = a + m. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 131, 250, 385, 536, 703, 886?\n\"Answer: 8*g**2 + 95*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w + 2*n - 1 = 0, 5*w - 15 = 5*n. Let u = -2114 - -67651\/32. Is w at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 26 = -5*m, 10*m = b + 14*m - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 17, 0 in increasing order.\nAnswer: -3, 0, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3044.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2 and 99\/6136?\nAnswer: 6136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 136297768 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 593*g - 586*g - 6244. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63868230*t**3 + 171544072*t.\nAnswer: 383209380*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28947, -115344, -259297, -460794, -719823?\nAnswer: -1036372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 559413585 to the power of 1\/2, to the nearest integer?\nAnswer: 23652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 56, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 3\/14 (c) 0 (d) -0.23 (e) -3198\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42245332 to the nearest integer?\nAnswer: 6500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = -3*h. Let w(z) = z + 1. Let n be w(h). Find b such that 0*b**2 - 1\/3*b**3 + 0 + n*b = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -235868.6\nAnswer: 471737.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17399 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*y + 1131 - 544 + 1368 = 0 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5 (b) 67 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/(-30))\/(1878\/(-1860) - -1). What is the highest common divisor of 93 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 0, 0*u + 2*u - 4*u + 3*d + 420 = 0. Which is greater: 214 or u?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -447644560 divided by -223822280?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52629488 is divided by 5372.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2628 is divided by 295?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*d**4\/2 - 14246*d**3 + 60994*d**2 - 16264*d = 0. Calculate d.\nAnswer: 0, 2\/7, 4, 4066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*i + 1850 = -5110 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*b - 19*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18018*o**3 - 664*o**2.\nAnswer: 108108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12 + 11*d + d**3 - 2 + 5*d**2 - 2 - 15*d**2. Let u be q(9). Solve -6 = -2*s - 2*z + z, 0 = -u*s + 5*z + 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/251 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 135\/18*3*2\/(-9). Suppose 3*i - 17 = -4*n - 4, 9 = 3*i. Let u = -8 - -4. Sort d, n, u in increasing order.\nAnswer: d, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.8 and -0.5814128?\nAnswer: -6.86067104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 - 111. Let a(j) = 4*j**3 - 3*j**2 - 5*j + 7. Let i(g) = g**3 - g**2 - g + 1. Let n(l) = p*a(l) - 3*i(l). Determine n(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*l**2 + 4 + 7*l**2 - 3162*l**3 - 2*l + 3158*l**3 to j*l**2 + p*l + v + z*l**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 89627855105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/4 and -8\/29.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6 - -2.6. Let k be (-12)\/((-66)\/44*2). Put s, -2, 20\/9, k in ascending order.\nAnswer: s, -2, 20\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y - 32 = 42*y. Solve y*o - 3*o = -20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: In base 6, what is 10 - -3523?\nAnswer: 3533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.242955818 to 1 decimal place.\nAnswer: -14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*p + 15 = 0, 2*c = 2*p - 7 + 21. Let a(v) = 2 + c - 6 + 4*v - 3*v. What is the remainder when 8 is divided by a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24689472169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -8b5?\nAnswer: -8ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69033 + -8849.3.\nAnswer: -77882.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5304659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27299.103 + 0.313.\nAnswer: -27298.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 z when three letters picked without replacement from pwgmxxxmwgppgmmwwzpw?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + -36 + (-8 - -40 - 46)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 291*w**6\/10 + w**5\/60 - w**4\/8 + w**3\/6 - 110*w**2. Is s(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/6*(1 + 8). Suppose 0 = 5*b - b - j. Let y = 0.8 + -1. Put -5, y, b in ascending order.\nAnswer: -5, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902461863 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1789 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**3 + 54*c**2 - 27*c - 30. Let h(y) = 12*y**3 + 109*y**2 - 53*y - 61. Let i(v) = -7*a(v) + 3*h(v). What is x in i(x) = 0?\nAnswer: -9, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (106 - (344 - 119)) + 150\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90213, -360707, -811479, -1442529, -2253857, -3245463?\nAnswer: -4417347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -361 + 321. Suppose w + 2*w - 7 = -5*y, -2*y = 4*w. Suppose -y*x + 0 + 10 = 0. Solve -i*g - x = 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3763 + 3742. Let g(m) = m**2 + 25*m + 83. Calculate g(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 4*t - 15, 613*m - 6 = 615*m - 2*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from jjjajjjjtjaaaajaajaa.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -5*g - 3*q, -4*g - 24*q + 8 = -26*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 785969051 a multiple of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 40736484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 13) in base 16?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i + 44*i - 15103 = -14995 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4*z)*(186 - 2*z + 166 + 4 + 85).\nAnswer: 8*z**2 - 1764*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.12653 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11673770*s**4 - 11432217 wrt s.\nAnswer: 46695080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24\/17? (a) -1436 (b) -210 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -3 (c) -10 (d) -654.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/30 + 3*k**3\/2 + 10*k**2. Let w(o) = 3*o**2 - 13. Let t(m) = 7*n(m) + 5*w(m). Determine t(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 + 4*m**2 - 1 - 3*m**3 - 2*m + 4*m**3. Let c = 3687 - 3690. Calculate v(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 201760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/31, -5957.3, -32 in descending order.\nAnswer: 2\/31, -32, -5957.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*m + 14 = 0, 4*c - c - 5*m - 22 = 0. Let v be 4\/22 - 26\/22. Let p = v + c. Solve -p*f + 4 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 64559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 161 + -546. Let t = -169 - u. Let c = t + -3453\/16. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7354 - -3089. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-240)\/(-75))\/4)\/(14\/15)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(54) + 2 + sqrt(125) - (-1 + (-1 + 3 + sqrt(5))**2).\nAnswer: -6 + 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (-1 - 0) - -4) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*k - 28, -40 = 5*k - f - 17. Let g be 1\/(-4)*4\/k. What is the nearest to -0.07 in 2\/15, g, -3\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2. Let c(h) = 10079*h**2. Give c(p(u)).\nAnswer: 90711*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qoqouqjcqjoqjqc. What is prob of picking 1 c, 1 j, and 2 q?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**7\/f**(2\/5)*f*f*f**5*f**(-3)\/f assuming f is positive.\nAnswer: f**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-595)\/(-2))*10\/(-15). Suppose 6*l = h + 11. Suppose -3*i = -2*r + 82, -4*i + 9*i + 195 = 5*r. What is the highest common factor of r and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22.8 (b) -2\/11 (c) 0.0992912\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o**3 + o**3 + 2*o**2 - 2*o**2.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 65 = -5*m, 3*s + 4*m - 217 = -0*s. Suppose 0 = 3*j - s - 42. Suppose -4*k + 111 = -5*r, k + r = -0*k + j. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 5) to base 8\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 691 - 687. Let i(o) = o**3 + 7*o**2 + o + 8. Let v be i(-7). What is the nearest to 1\/11 in -2\/7, f, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -5. Find the third derivative of 69*b**3 - 12*b**2 - 67*b + i*b**2 + 74*b wrt b.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + d**2 - 3*d + 11. Let o be c(2). Let r(v) = 21*v - 17. Let f be r(o). Solve -2*h + 5*h = f*q, -10 = -h - 2*q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.546754292 rounded to three dps?\nAnswer: -0.547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*u**3 + 3*a*u**2 + 288*a - 79*u**3 + 4 wrt u?\nAnswer: -6*a*u**2 + 6*a*u - 237*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**3 + 9*y**3 + 2*y**3)*(0 + 2 - 1) + 2 + y**3 - 2 to the form x*y**3 + n*y**2 + v*y + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -1, 1315*i - 4*g - 20 = 1311*i. Factor 5\/8*b**i - 15\/8*b**2 - 13\/8*b + 1\/8*b**3 - 1\/4.\nAnswer: (b - 2)*(b + 1)**2*(5*b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 h when three letters picked without replacement from eeeh.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 222*t**2 - 9*t - 4. Let z(y) = -445*y**2 + 16*y + 9. Let s(m) = -5*f(m) - 3*z(m). Find the second derivative of s(u) wrt u.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -341*t - 9611. Determine q(-37).\nAnswer: 3006","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-12)\/(-36))\/(2\/14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/16)*i)**(6\/7)\/(i*(i*i**22)\/i*i**(-3)))**(-18\/7) assuming i is positive.\nAnswer: i**(9567\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -4, -312, 4 in descending order.\nAnswer: 25, 4, -4, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5333 at least -239\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 138, 480, 1136, 2208, 3798, 6008?\n\"Answer: 17*p**3 + 4*p**2 - p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 c when four letters picked without replacement from {b: 2, h: 2, c: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.2 (c) -881\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 10*p + 4. Let h be v(10). Solve -z = -6 + h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/32 + 25*(-192)\/(-25600).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.053 and 0.1521.\nAnswer: -4.9009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5351?\nAnswer: 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29520 by 105.\nAnswer: -1968\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 12410502?\nAnswer: -12410455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from ttgttttttttccttct?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjijswwwjcjjjj. What is prob of sequence iww?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3) - (-8 + 910\/120)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 3*t**7\/7 - 7*t**6\/15 - t**5\/5 - 27*t. Factor f(g).\nAnswer: 2*g**3*(g - 1)*(9*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 16*k**2 - 18*k + 27. Let a be n(15). Let t(g) = -g**2 - 16*g - 15. Let s be t(-15). Sort s, a, 1, 2 in descending order.\nAnswer: 2, 1, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(5 + -3 - 1). Suppose y = -3*l + 13. Differentiate q**4 - q**4 - 2 - l*q**4 wrt q.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11220122121 (base 3) in base 10?\nAnswer: 96703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6)*(-2)\/(10\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4\/19 - 4*u**3\/19 - 24*u**2\/19 + 80*u\/19 - 64\/19 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04551869665 to 6 decimal places.\nAnswer: -0.045519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 104. Let w = d + 60. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6)\/(-3*(3 - -1)\/20) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 6*v**2 + 2*v + 7. Let g be a(6). Suppose -20*t + 5 = -g*t. Suppose -q - 160 = -6*q + t*p, 4*p = 0. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:27 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2 + 38900*u - 15589420 = 0. Calculate u.\nAnswer: -8162, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.39193 millilitres in litres?\nAnswer: 0.05439193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.784 to 1 decimal place.\nAnswer: 15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 33*u**2 + 14*u + 636. What are the prime factors of o(-20)?\nAnswer: 2, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 524562.\nAnswer: 104912.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 239201.01 microseconds?\nAnswer: 0.0039866835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670156 is divided by 7884.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*z - 108, -4*p + z + 392 = -z. What is the greatest common divisor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8649 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-6))\/((-1)\/(-3)). Let j(c) = -41*c - 32. List the prime factors of j(t).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 7) + 4 + -9 + 11 + -3. Let l(m) = 2*m**3 + 8*m**2 - 20*m + 30. What is l(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (8 - (29 + (-6 - 3)))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38748748 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145368*1.94.\nAnswer: 282013.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 499965 (base 10) in base 5?\nAnswer: 111444330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.03, 0.2, 13\/8?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**5\/120 + 23*g**4\/24 + 107*g**3\/3 + 90. Let w(f) be the third derivative of h(f). Give w(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -20\/7, 2\/5, 1, 2\/21?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9330, 1\/3, -1.\nAnswer: -9330, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(-3))\/(37\/26973).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -10*z + 2*z + 2 + 4. Suppose 2*w + 16 = -5*q, -3*w = 1 + 8. Let x(b) = 16*b - 5. Let t(p) = 3*p - 1. Let u(r) = q*x(r) + 11*t(r). Give i(d) + 6*u(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 14*v - 2 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9*13)\/(0 - 1). Let y = c - -164. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205513 (base 8) to base 3.\nAnswer: -10110212100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 470 + -331. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/4*217\/((-223293)\/(-294)))\/(2\/(-276))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 - -1 - (-28 - -29) - 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-2)\/4*-11. Let j = s - 9. Solve -9 = -j*h + 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 1. Let r(q) = -q**2 - 13*q + 3. Let h be r(-13). Suppose 4*y + k + 19 = 0, -y + 22 = -h*y + 2*k. What is the units digit of o(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146 (base 7) to base 10.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17042*y - 17042*y - 4235*y**3 + (y + 0*y - 2*y)*(-4*y**2 + y**2 + y**2).\nAnswer: -4233*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32221233332 (base 4) to base 13.\nAnswer: a463c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998.8056km to millimeters.\nAnswer: 998805600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -261.6 * 0.03.\nAnswer: -7.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 + 0*w + 0*w)*(-w + w - 2 - 4*w) - 3*w**5 - 6*w + 6*w.\nAnswer: -11*w**5 - 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let d(a) = 2*a - 2*a - 2*a + u*a. Let v(l) = -3*l**2 + 3*l**2 - l**2 + 0*l**2. What is d(v(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 11*i + 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -2432.7.\nAnswer: 7298.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**4\/6 + x**3\/6 - 8*x**2. Let y be (-3)\/1*4\/6. Let l(s) = -s**3 - 17*s + 5. Determine y*l(v) + 9*k(v).\nAnswer: 2*v**3 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t - 64. Let g be f(6). Suppose -241*i + 243*i + g = 0. Is i greater than 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skkdsyfeekfysy. What is prob of picking 1 e and 2 k?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 15*t + 6. Let g(k) = -8*k**2 - 44*k - 19. Let n(l) = -6*g(l) - 17*u(l). Suppose n(f) = 0. Calculate f.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/8 + 3\/8. Let b = -11 + 10.9. What is the nearest to 0 in -4, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10658 (base 9) in base 6?\nAnswer: -52512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s + 9. Let r(f) = f**2 + 16*f - 5. Let m be r(-17). Is 12 a factor of h(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.082 or 6\/7087?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69678.\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-8)*4168\/7824 - (-195)\/1040?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z)\/z**(2\/9)*z**(-4\/3)\/(z*z**(3\/5)*z)*(z\/(z*z**(7\/2))*z*(z*z*z**(-2\/5)*z*z*z)\/z)\/(z*z**(-1\/2)*z**(-2\/9)) assuming z is positive.\nAnswer: z**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3600 divided by -676.\nAnswer: 900\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:50 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 17.5. Let j be (-6)\/9*(-3)\/4. Let d = 2 - 3. Which is the nearest to j? (a) 3\/5 (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 140098 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*w - u + 25, -4*w + 4*u = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4304 (b) 26.4 (c) -1\/3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -144 + 160.5. Let d = -6.7 + y. Let r = d + -9.8021. Round r to four decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 12:07 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 27 = -21. List the prime factors of -1*(-4)\/2*-254*i.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let p(s) = -1 - 3 - 9*s - z - s**2. Let a be p(-8). Put a, -5, 1 in decreasing order.\nAnswer: a, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17\/3 + 2\/(-3). Which is the second smallest value? (a) 3 (b) p (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 9. Let i be t(-14). Let s = 99 + i. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 10*k**2 - k - 8. What is s(7)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(900))\/(1*sqrt(3)*-1 + sqrt(33)\/(sqrt(11)*-1)).\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 8*m - 56 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 14*h + 78. Let o(a) = -a**3 - 2*a**2 + 16*a + 5. Let i be o(-5). What are the prime factors of k(i)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -50*u - 467. Calculate w(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 5. Let s(w) = 7*w - 24. Let v be s(13). Let t = 62 - v. Which is the closest to -1? (a) -0.5 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + 13 - 3\/1. Suppose 4*f - c*f - 11 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.7883nm in micrometers?\nAnswer: 0.2407883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(119))\/(2*sqrt(7)*4).\nAnswer: 3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-50) + 5548\/1900. Sort 300, -1, v, 4 in ascending order.\nAnswer: -1, v, 4, 300","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 17*y - 42. Let r be o(-13). Suppose 2*v = -4*n - n + 26, 2*v = 4*n - r. What is the third smallest value in 0.3, v, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -729.92 - -729.52. Let k = -206\/5 - -41. What is the nearest to k in -0.5, s, 1, 3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76\/7 in 2\/7, 329, -3, -2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*p**2\/2 - 38895*p + 11112.\nAnswer: 3*(p - 3704)*(7*p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 244360 - 159058. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1116 (base 12) to base 5.\nAnswer: 30030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 divided by -25?\nAnswer: 69\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 t when three letters picked without replacement from tektkkeeeokezezezeez?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1974*a**2*j**5 - 18*a**2*j - 4*a*j**5 - 53*j + 2 wrt j?\nAnswer: -39480*a**2*j**3 - 80*a*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x**5 + 841420*x**4 + 4487940*x**3 + 3366080*x**2 - 4488000*x = 0. What is x?\nAnswer: -4, -2, 0, 2\/3, 56100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**3\/2 + 33801*u**2 - 135213*u\/2 + 33804 = 0.\nAnswer: -22536, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89.7007 - -0.0993. Let s = -90 + r. Let m = -4.84 + -0.16. What is the second biggest value in s, -4\/9, m, 4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 172679 from -6.\nAnswer: -172685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + (7 - 7) + -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-270)\/(-4)*(-19)\/95. Suppose h = 5*m + 68, 4*m - 6*h + 2*h = -48. Do b and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -300 - -194. Is l at most -106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -987316 divided by 246829\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s - s)*(-3*s**2 + s**2 + 0*s**2)*(946 + 574 - 10909).\nAnswer: -37556*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11002222 (base 3) to base 14.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-16) + 4*2\/(-16).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -10. Let l(t) = 26*t**2 + 9*t - 1. Let v be l(-9). Suppose -3*d + 6*f - 4*f = -1543, -m*f = 4*d - v. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 2:39 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**5*q*q*q**2)**46\/((q**(-3)*q)**(-21\/4))**(3\/13) assuming q is positive.\nAnswer: q**(-63\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235832, 943315, 2122452, 3773243, 5895688, 8489787, 11555540?\nAnswer: 15092947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(7) + 2 + -1 + 3*sqrt(56)\/sqrt(8))*-1 + 1)**2.\nAnswer: 96*sqrt(7) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*m = -3, a = -m + 14 - 12. Put -5, a, 36 in descending order.\nAnswer: 36, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-10))\/(-1*(-20)\/(-25)). What is the closest to -2\/3 in -1\/4, x, -3\/22?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2))**(-1\/18)*o**(1\/2)*o*o\/(o*o**0)*o*o)**45 assuming o is positive.\nAnswer: o**(635\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5921 and 3185116?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 94*u - 281. Let l be b(3). Let p(i) = 2*i + 1. Let h(w) = w. Let n(d) = 4*h(d) - p(d). Calculate n(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 16*w = 15*w - 7, -5*o + 12 = 2*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, f: 9}. What is prob of sequence ii?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o + 2423089 + 952911 = 0. Round o to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 2\/161 (c) 5 (d) 0.5 (e) 56\/3 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -116426 and -41.\nAnswer: 4773466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 37403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 7) to base 12\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -20*l + 2. Suppose 8 = -2*h - 3*m, -m = 3*m + 8. What is the tens digit of p(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 894561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 222 = -14*g. List the prime factors of g.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 223 = 3*q, 5*q = -2*n + 3*n + 410. Calculate the greatest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86778394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*q**4 - 4*q*u - 2*u - 10 wrt q.\nAnswer: -176*q**3 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 488, 723, 958, 1193?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 5. Let b be 173 + (-12)\/((-108)\/63). Suppose -7*r = -h*r - b. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2419 divided by -628\nAnswer: 2419\/628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 5. Let m be c(11). Let g(k) = -16*k**2 + 11*k + 5. Let h(l) = 3*l**2 - 2*l - 1. Let r(q) = m*g(q) - 33*h(q). Solve r(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4622, 3\/2, 1\/2, 8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*s**3 - 133*s**3 + 21 + 62*s**3.\nAnswer: -s**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13702560?\nAnswer: 2, 3, 5, 28547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263 + -236. Which is the second smallest value? (a) 4 (b) -5\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/27)\/((-11)\/(-44)))\/(2\/(-4)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**3\/6 + 11*k**2\/2 + 2*k. Let b be v(6). Put b, 4, 3 in decreasing order.\nAnswer: b, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-65) - 6\/39?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-20))\/((-12)\/5)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/900 - 11*h**5\/225 - 7*h**4\/60 + 22*h**2 - 1. Determine w so that t(w) = 0.\nAnswer: -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10091781 is divided by 2482.\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8874.834 litres in millilitres?\nAnswer: 8874834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55799950 and 24650.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1652564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2*m = 2*p - 2, -8 = -p - 3*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g - 6. Determine n(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43504, 87009, 130514, 174019?\nAnswer: 217524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 177589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 10*l + 25. What is the smallest common multiple of l and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4)**(1\/27)\/(r**16*r*r**(-11)) assuming r is positive.\nAnswer: r**(-158\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*r, -r = -3*h + r - 37. Let c = h + 19. Solve o = -2*o + c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31913 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 - 2*k - 4. Let x be (10\/4)\/(-5)*-18. Let h(z) = -7*z**3 - 9*z - 16. Let a(u) = x*d(u) - 2*h(u). What is the derivative of a(r) wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 38 = -23 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-23))\/((-6158)\/(-5523726))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -391*o**3\/6 + 40*o**2 + 2*o - 4. Let x be f(-20). Round x to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50211.\nAnswer: 3, 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2737 and 5824865.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, c: 3}. Give prob of picking 2 c.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109068, 109059, 109046, 109029, 109008, 108983?\nAnswer: 108954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -2\/5, -0.3, 83, 3\/7, -2 in increasing order.\nAnswer: -2, -2\/5, -0.3, 0.03, 3\/7, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/1151577 and -191\/24948?\nAnswer: 50669388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 2*a = o - 196, 4*o + 60 = 2*a - 5*a for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 346 = 9*g. Suppose 3*u - 27 = -2*f + 14, -4*u = -4*f + 92. Calculate the remainder when g is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*s + 1678 = 66*s + 5910 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1.01. Let p = 0.29 - u. Which is the nearest to 0.1? (a) p (b) -0.5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1259181 and 22122?\nAnswer: 3095066898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/10394 and -63\/114334.\nAnswer: 114334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*x**3 - 4*x**3 + 11 - x**3 + (0*x**2 + 0*x**2 - 2*x**3)*(4 - 7 - 4).\nAnswer: 16*x**3 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + -0.52. Let p = -36524 + 36524.59969. Let m = o + p. Round m to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 6*a**2 + a - 2. Let z be 32\/6 + (-2)\/(-3). Let f be x(z). Let o be f\/14 + 430\/14. Calculate the highest common factor of 124 and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 17*r - 9. Let h be 52\/8 + 2\/(-4). Let g be h\/33 + 136\/(-22). Let o(y) = 8*y - 4. Let a be (-80)\/60 + 86\/6. What is a*o(m) + g*k(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 287 - 173. Is 38 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(-1\/20)\/(c**6\/(c**3\/c)) assuming c is positive.\nAnswer: c**(-79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3*f**2 - 4)*(-9 - 5501*f + 5491*f + 29) in the form o + n*f**2 + s*f**3 + u*f and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u - 30. Let v be 4\/6 - 30\/(-27) - (-1104)\/4968. Let w(n) = 7*n - 60. Calculate v*w(t) - 5*p(t).\nAnswer: -t + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16939861 to the power of 1\/2, to the nearest integer?\nAnswer: 4116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 748 + -799. Is b != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.407 + 298.407. Let p = 297 - d. Let r = 0.5 + -0.9. Which is the second smallest value? (a) 4\/3 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q = -15, -5*t + 170 = -5*q. Let v be 0 - (t\/(-252) - 0). Let z = -3\/140 + v. Which is the third smallest value? (a) 2 (b) 2\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -b690?\nAnswer: b688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1939 and 61\/5943?\nAnswer: 1646211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 9 = 0, 10 = h - 3*s + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 2, b: 1, i: 1}. What is prob of picking 1 v and 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 609\/(697305\/(-458))*510\/32?\nAnswer: -51\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-5)\/(-4)*414\/690)\/(9\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 5*w**2\/2 + 4*w - 2. Let y be k(4). Let s = -14 + y. Solve 5*i = -2*v + s, -i + 0*v = -v - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 534 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 10. Let r = 3.036914 + -0.036914. Which is the nearest to 0.1? (a) 5 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(68) + 3*sqrt(68)*4)**2.\nAnswer: 156*sqrt(17) + 11501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 11 in ascending order.\nAnswer: -9, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -317 equal to -316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40006 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*f - 687 = -65*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 142*h**2 - 38*h - 76. Is a(-2) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaanaanaaaaaaaanaaa. Give prob of sequence naa.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22214687 to the power of 1\/2, to the nearest integer?\nAnswer: 4713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 233317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2016)\/49)\/(-9) + -4)\/((-670)\/35 + 8).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 27809 + 1034. Let p = c + 3407. Let i = -1365 - p. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62589.45l?\nAnswer: 62589450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 814 = 4*q + 5*v - 696, 5*q - 1894 = -3*v. Let c = q - 2100. Round c to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -164*b**2*l - 13*b + 7*l wrt b.\nAnswer: -328*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16480, -16231, -15982?\nAnswer: -15733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000201 rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*h**3*p**2 + 11*h**3*p*y + h**2*p**2 - 3*h**2*y + h*p**2*y - 16*h*p wrt h.\nAnswer: -174*p**2 + 66*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3, 18, 204, -1.\nAnswer: -18, -3, -1, 18, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -41237 divided by 2\nAnswer: -41237\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54204 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25235 + 112398. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 2*c + 9. What is y(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irpr when four letters picked without replacement from {i: 3, r: 3, a: 3, p: 1}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**4\/24 + 5*s**2. Let t(c) = c**2 + 2*c - 2. Let p(m) = -4*m**2 - 9*m + 9. Let o(i) = 4*p(i) + 18*t(i). What is o(y(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 176696471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 7*l**4\/3 - l**3\/6 - 48*l. List the prime factors of a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 + -1.68. Let n = i - -5.5. Let f(x) = -x. Let r be f(-5). Which is the third smallest value? (a) n (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10.63 and 49.1?\nAnswer: 38.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/27)\/(10\/270) + 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*n + 5. Let y be (-1)\/n - 6\/4. List the prime factors of 3 + y - -5*2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uufffwfmffuuwwwwquw. Give prob of sequence wuw.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/21 smaller than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 57?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4*4846\nAnswer: 19384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6473 + -6473. What is the nearest to z in -5, -20, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - (-17)\/3) + 7\/(-6). What is the second smallest value in z, 1\/2, -9\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from xdxhw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-52)\/40*-2. Calculate the greatest common divisor of 65 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 11. Let n be y(-14). Suppose 47 = n*c - 5*k, 2*c + 3*k + 21 = 3*c. Calculate the smallest common multiple of c and 17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-4 + -5 - -9) + -49.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 161971933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j + 1. Let c(h) = -12*h - 1. Let d(w) = w**3 - 2*w**2 - 5*w - 20. Let n be d(4). What is n*q(x) - 5*c(x)?\nAnswer: -4*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 5*f - 2*f + 0*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -1314360?\nAnswer: -1314361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -c099 (base 16) to base 13\nAnswer: -19599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/3811 - 34257\/26677. Which is the fourth smallest value? (a) -0.3 (b) u (c) -5 (d) -0.041\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 0\/2 - 1190\/(-35).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 42464*t + 8. Let d(w) = w**3 - 6*w**2 + 8*w - 12. Let v be d(5). Let a be n(v). Round a to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 3, -3.9783?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*g**3 - g**4 - 13*g**3 + (-g + 5*g**2 + g)*(1 - 1 - g**2) + 6*g**4 - 51*g**4 - 9*g**4 + (1 + 2*g - 1)*(4*g**3 - 8*g + 8*g).\nAnswer: -52*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18682 + 18734. Solve -b = -16*n - 36*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((sqrt(168)*-1 + sqrt(168) - sqrt(168)) + sqrt(168))\/sqrt(7))\/(sqrt(96)\/sqrt(2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7220 and 570?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**5\/660 + 7*c**4\/132 - 69*c**3\/22 + 21*c**2 - 37. Factor o(p).\nAnswer: (p - 9)*(p + 23)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 3*r. What is the closest to r in -5, -6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghpnbgnvgbnn. What is prob of picking 1 h and 1 v?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*n**2*t - c*n**2 - 322*c*n*t - 15*c*t - 7*c + n + t - 8 with respect to n.\nAnswer: 2*c*n*t - 2*c*n - 322*c*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.424 + 0.024. Put -1\/3, g, -3\/5, -1 in ascending order.\nAnswer: -1, -3\/5, g, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 552910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - -48. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*p - 26, w - 13 - 1 = -3*p. Suppose 4*f - 24 = 3*n, -5*f - 2*n - w*n = 1. Solve -3 = f*m + 4*y, 0 = m - y - y + 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:50 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 287489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 10*p - 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 845, -12, 29, -1 in ascending order.\nAnswer: -12, -1, 5, 29, 845","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15.82 (b) -5 (c) 5 (d) 1\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s**2 - 7 + 7 + 0 + 0 - s**2 + (2*s - 3*s - 2*s)*(s - 2*s + 0*s))*(-23 + 142 + 55) as d*s**2 + v*s + x and give d.\nAnswer: 1392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 519361 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -607 + 611.704. Let k = -0.296 - g. Put k, -3, 2 in decreasing order.\nAnswer: 2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-14))\/(5 - (-170)\/(-35))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4082 - -8760. Suppose 6*x - u + 1384 = 0. What are the prime factors of x?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1748660, 3497306, 5245946, 6994580, 8743208, 10491830?\nAnswer: 12240446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -300, -5, -7, -2 in descending order.\nAnswer: -2, -4, -5, -7, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/8)\/(17\/68). What is the second derivative of -j - 6*d - 2 + 3 - 6*d**3 wrt d?\nAnswer: -36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, i: 1}. What is prob of picking 1 p and 1 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/26691 and 24\/2009.\nAnswer: 186837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2731, -0.2, -8285?\nAnswer: 2731","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19324*f + v = 19319*f + 27, -5*f + 34 = 2*v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 8, 2*y - 5*t - 5 - 23 = 0. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -35 + (-17 - (-13 + 13 + -33)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2437.789ml to litres.\nAnswer: 2.437789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -201011122111021 (base 3) in base 7?\nAnswer: -152414065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.93564ms in nanoseconds?\nAnswer: 88935640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38177?\nAnswer: 38177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 - 4*l + 10. Let u(b) = b**2 - b + 2. Calculate -2*d(a) + 11*u(a).\nAnswer: a**2 - 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232168533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 1:42 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 4 + 3 - 6*k. Let x(a) = -13*a - 6. Let y(d) = 13*d + 7. Let p(n) = 5*x(n) + 4*y(n). Let t(v) = -2*p(v) + 7*s(v). Determine t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20 - 17*y**3 + 126*y + 34*y**2 - 5*y**3 - 43 - 2*y**4 + 95.\nAnswer: -2*(y - 3)*(y + 1)**2*(y + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, d: 1, u: 6}. Give prob of sequence uu.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 31*h**3 - h**2 + 2*h - 1. What is the units digit of r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4736 and 402930?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -221 - -480. Is 260 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from wiwwwiiiiwww?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g**2 + 6*g + 12. Let n(l) = 17*l**2 + 11*l + 22. Let h be 5\/(5\/(-22))*1\/(-2). Let v(d) = h*r(d) - 6*n(d). Let y(t) = 55*t**2. Calculate v(y(f)).\nAnswer: -9075*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 600654 to the power of 1\/2, to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*u + 8 + 15 = 0, 2*u = -o + 7. Let z be (-1)\/(-6) - o\/((-6)\/(-269)). What is the greatest common divisor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, -217, -4, -60, 0.064 in decreasing order.\nAnswer: 2.3, 0.064, -4, -60, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 145*n + 1950.\nAnswer: -5*(n - 10)*(n + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3739*u - 261 = -3710*u. Is u <= -413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u**2 - 66 - 1869*u**3 + 1872*u**3 - 86 - 5*u**2 to t + i*u + r*u**2 + c*u**3 and give t.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 2*o**2 - 1. Let a be c(1). Let y(t) = -6*t**3 - t**2 - a*t**2 + 12*t**3 - 27 - 9*t - 7*t**3. What are the prime factors of y(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 18*q**2 + 15*q - 19. Let b be g(-17). Let p = 14 - b. Which is bigger: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 346952320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1181898*t**3 - 221040*t**2 - 2*t wrt t?\nAnswer: -7091388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/475*-10*-5.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 35. Suppose -3*x - 2*n - 25 = 0, -5*x - g = n - 4. What is the units digit of (-5)\/(-2)*(-8)\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 12. Suppose 0 = 3*i - 49 + k. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7242 at least as big as -7241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 220*y - 5700.\nAnswer: -(y + 30)*(y + 190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001033 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-110)\/(-25)*(-10)\/(-4). Let g = 4 + k. Suppose 0 = w + 2*w - g. Sort w, 2, 4 in descending order.\nAnswer: w, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Suppose 17 = 2*j + 5*x, -x + 3 = -0*x. Let p(n) be the first derivative of 1\/2*n**2 + 0*n + 1\/3*n**3 - 1. Calculate j*p(k) - g(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6873 = -223*y + 158*y - 172*y for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 163 + 38395.6255714\nAnswer: 38558.6255714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 6*y - 18. Let z(o) = -17*o - 1. Calculate the remainder when z(y) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-8)*8\/20 + 5. Solve m - 2 = 3*g, -4*g - 2*m - o + 0 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -490.6071 times -0.02\nAnswer: 9.812142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-4*(sqrt(68)*1 + sqrt(68)) - sqrt(68) - sqrt(68) - sqrt(68) - sqrt(68))*6)\/(-4*(sqrt(64) + -2*sqrt(64))))**2.\nAnswer: -27*sqrt(17) + 1413\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 14*q. What is the tens digit of n(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -14\/5, 7, 34, -2\/7, 29, -3?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2 = 4*u, -13*u - 13 = -11*u - 3*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 2, r: 1, f: 2, t: 1}. Give prob of sequence ftr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 20 = 22 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 - 32*n**2 + 333*n - 83. Calculate w(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12507744559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*c**2*t**3 - c**2*t**2 - 2*c**2*t - 7*c**2 - 27*c*t**3 + 395*c - 212*t**3 - 3*t**2 wrt t.\nAnswer: -102*c**2 - 162*c - 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + i**2 + 5*i)*(i + 3 - 3) - 3*i**3 + 2*i**3 + 2*i**3 - 11*i**3 + 4 - 9*i**3 - 3.\nAnswer: -18*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2559\/81055 - -1\/1247. Let g = 28\/65 + r. Let 6\/5*c**4 - 2\/5*c**3 + 4\/5*c - 6\/5*c**2 - g*c**5 + 0 = 0. What is c?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 12 - (-57 + 50).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 83 - 7*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -3\/31 (c) -0.1 (d) -3\/2 (e) 15.393 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5350*t**2 - 10696*t**2 + 5360*t**2 + t + 0*t - t.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/44*196\/6)\/(11\/22)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-2)*5\/(-10). Suppose x + 3*x = c. Suppose i - 32 = -x. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40165 is divided by 13376.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*w. Let h(f) = f**2 - 3*f + 1. Let x be h(w). Which is bigger: x or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.1286 + 0.1286. Let t = -242704 + 242717.0021. Let k = t + r. Round k to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1481)*-1 - (-6)\/(-3). Let c = v - 910. List the prime factors of c.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + q - 21. Let i be r(0). Let j = 42 + i. Suppose -n = -177 - j. What is the highest common divisor of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/2 - 1083*i**2\/2 + 54936*i - 1058400.\nAnswer: 3*(i - 168)**2*(i - 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from qcncqcnnnqcqcqccc?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10 - (-852)\/(-355) - (-115)\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/35)\/((-2)\/10). Let r(l) = 3*l + 4. Calculate r(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6958235 hours in milliseconds?\nAnswer: 2504964.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*a**5*m**3 + 5*a**3*m**3 - 10*a**2*m**3 + 453*a**2 wrt a.\nAnswer: -1140*a**2*m**3 + 30*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/126)\/(2\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11 - 23) + 21 - (-4 + 7) - 9) + -116.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 23 = 12*i + k, -2*i - 3*k = -1. Put -2\/17, 0.5, 168, i in descending order.\nAnswer: 168, 0.5, -2\/17, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in 10, 2, 5, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 664, 418, 172, -74, -320, -566?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Suppose 0 = -3*s + 9, -5*n = -i*s + 24. Which is the closest to 0.1? (a) -1\/4 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4926117 (base 10) in base 4?\nAnswer: 102302222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 62 = 2*r, -2*r = -u + 3 + 7. What is the lowest common multiple of 12 and (0\/7)\/2 + u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bybsbih. Give prob of sequence iiii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 1, x: 4, i: 1}. Give prob of sequence xi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*z**2 + 84*z**2 - 177*z**2 as c*z + q*z**2 + d and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 31*g**2 + 7*g + 55. Calculate the remainder when r(-30) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4571 - -5?\nAnswer: -1.4571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 0 + 3\/14*y**4 - 1\/140*y**5 + 0*y - 3*y**2 - 27\/14*y**3. Factor n(h).\nAnswer: -3*(h - 9)*(h - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4066594 millennia to centuries.\nAnswer: 4.066594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 112.477+10.37\nAnswer: 122.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3888 and 648.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 283978 not equal to 283978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 v, and 1 t when three letters picked without replacement from vpatpt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 22, -37, -4, 28 in descending order.\nAnswer: 28, 22, -4, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 + -79. Which is the closest to 0? (a) 2\/11 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (20\/(-5) + 8))*-10. What is the highest common divisor of y and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1173 (base 9) to base 8.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*h**2 + 20*h**2 + 178*h**2)*(0 - 2*h**2 + 0) in the form b*h**4 + j*h + i*h**2 + l*h**3 + z and give b.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) -1 (c) -5 (d) 180 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/240 - 7*o**5\/60 - 13*o**4\/48 - 3*o**2 + 7*o - 6. Factor f(t).\nAnswer: -t*(t + 1)*(t + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 5039d?\nAnswer: 5039a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 249 = -0*v. Suppose -4*l = -v - 77. What is the remainder when l is divided by ((-24)\/(-38))\/(246\/2337)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1173599, 4694401, 10562399, 18777593, 29339983, 42249569?\nAnswer: 57506351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 95008431407 - 1\nAnswer: 95008431406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from ijllj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 3:27 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, 409\/449 in descending order.\nAnswer: 409\/449, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4997\/4 - 1243. Let r(w) = w**2 - 10*w - 10. Let p be r(12). Find the common denominator of z and (13 - p)*(-1 - -40).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 - 217*p**2 + 52*p + 111. List the prime factors of a(-73).\nAnswer: 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 3*y**2 + 3*y**3)*(4402*y + 5109*y - 11556*y).\nAnswer: -6135*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103509764 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 2, -4 in descending order.\nAnswer: 2, -4, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-20)\/(f*(f**(4\/5)\/f)\/f*f) assuming f is positive.\nAnswer: f**(-104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/36 and 127\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 1107.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 2*x**3 - 2*x**2)*(-x**2 - x**2 + 3*x**2) - 2*x**5 - 6*x**5 + 0*x**5 + (-4*x**5 + 0*x**5 + 2*x**5)*(1 - 1 - 1).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303892 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303538644?\nAnswer: 2, 3, 997, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 392*d**2 + 0.\nAnswer: -392*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 51624 divided by 12906\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 304602, 4, -4 in increasing order.\nAnswer: -4, -2, 4, 304602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 1382 = 1368 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3267773?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**5 - 51398*w**4 - 2*w**3 - 3288*w - 1.\nAnswer: 40*w**3 - 616776*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (0 - 1))*1. Let d(v) be the third derivative of -v**5\/60 + v**4\/8 + v**2. Let o be d(u). Solve b = o*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**3 - 4*c**3 + 16*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmmkkjkkmmkmj. Give prob of picking 3 k.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/27 and 121\/23990946.\nAnswer: 215918514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 10:20 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 10 = -n, 9 - 11 = -2*n - 3*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60245456 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(98) - (2*(sqrt(98) + sqrt(98) + -1) + sqrt(98))) + 5) - -6*(1 + (-4 + 0 + sqrt(98) - sqrt(98))))**2 + -2.\nAnswer: -10304*sqrt(2) + 27202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9519 from -4613.2.\nAnswer: -14132.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/18 and (-7)\/(7\/(-4)) - (-73)\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**2 - 4*g**2 - 40*g**2 - 21*g**2.\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*o - 204 = 0. Let v = 42 + o. What is the remainder when 23 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3809 = -2*i - 3757. What is the remainder when 34 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340915, 681826, 1022723, 1363600, 1704451, 2045270, 2386051?\nAnswer: 2726788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*d = -2*f + 84, 3*f + 4*d - 89 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - 10. Sort f, 3, 2\/5 in descending order.\nAnswer: 3, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1203103104*x + 557092451.\nAnswer: 1203103104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 3)*(-8081 + 195*j + 321*j + 8080) to p + o*j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**3 + 14*c**2 + 1711*c + 613333 with respect to c.\nAnswer: -15*c**2 + 28*c + 1711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3875 - -4967. Calculate the greatest common divisor of v and 312.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1152230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9241 is divided by 440.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1545460928 to the nearest integer?\nAnswer: 39312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -30*a + 64. Let i be y(2). Solve 30 = -4*h - 2*j, -5*j + j - 40 = i*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3, 5, -0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/15*(-8)\/(80\/(-1965)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -60 - (-8 - (0 + -1)) - -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 4*z)*(-z + 0 + 0 + 1).\nAnswer: -z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 2589.\nAnswer: 20712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 30.1 (b) -1 (c) 45 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - -62) + (5 + 1 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -895 divided by -26931\nAnswer: 895\/26931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2285 - (4\/6 - 16\/(-12)). Suppose -5*o = 2*h - 7562, 0 = -3*h - 3*o + 9078 + s. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-2))\/(45\/720). Find the common denominator of 650\/(-204)*12\/o and -38\/3.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2 - 6440696*i + 193224480 = 0. What is i?\nAnswer: -1610204, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 3, 13.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 4*i**2 + i + 1. Let a be p(-3). Suppose -2*x - 2*l + 4 = -7*x, 2*x + a = -4*l. Let u be ((-2)\/(-4))\/(x\/(-16)). Solve y = -u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*r, 4*q - 87*r + 91*r = 1072. Calculate the remainder when q is divided by 95.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58, 76, 112, 172, 262, 388, 556?\n\"Answer: k**3 + 3*k**2 + 2*k + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 28\/17*p**2 - 2\/17*p**5 + 0*p + 18\/17*p**3 - 12\/17*p**4 + 0 = 0?\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = 29*r - 150. Solve 22 = 4*j + 2*y, 2*j + 3*y - r = -0*y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b + 54. Suppose 55 + 1 = -2*f. Is f at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2\/23 (c) 0.5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g**2 + 5*g**2 + 7*g**2 + 0*g**2 + 5*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2871 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -155, -323, -489, -653, -815, -975, -1133?\n\"Answer: j**2 - 171*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2\/21 (c) -6 (d) -138\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*g + 3*w + 443 = 11*g, -g + 100*w - 55*w - 49*w - 5 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - s - 2. Let f(d) = 2*d**2 - 2*d - 2. Suppose -261*c = -283*c + 44. Give c*f(m) - 3*k(m).\nAnswer: -2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 3)\/(2\/(-10)). Suppose -x = -4*x - 3*z + 45, x = 2*z + q. Let t(i) = 3*i**2 + 6*i - 1. Calculate the remainder when t(-5) is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and (-185)\/(-7) + 3\/(-13 - (5 - 11)).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (6\/5)\/(12\/30). Let l be s\/2 - 0 - (-4 + 0). Solve -h + 1 = l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 21683\/19223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212 - 2210?\nAnswer: -12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3005 = i - 2*t + t, -3*i + 9029 = 4*t. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 108*f**2 + 966*f + 2886. What are the prime factors of t(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -v + 1589, b + 5*v = 26 + 376. Let i = b - 392. Solve i = d + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 21*c + 26*c + 22*c = 67*c - 23, 0 = -n + c - 11 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9800 = -6*p - 22*p. Let n = -348 + p. Solve -2*l + 3*l = n*h + 12, -4*l = -4*h - 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 703 and 629.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*s + 0)*(-24 + 17 - 263*s + 6).\nAnswer: 789*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19327243 take away -0.006?\nAnswer: -19327242.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 184409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juuu when four letters picked without replacement from {j: 6, u: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 425, 890, 1375, 1880, 2405, 2950?\n\"Answer: 10*s**2 + 435*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9275 - 15675. Round q to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800942579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 153228*s**2\/7 - 4068*s\/7 + 27\/7.\nAnswer: 3*(226*s - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 858887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 + 1.6. Let a = 34 - 30. Let w = a - x. Sort 2, -2\/13, w.\nAnswer: -2\/13, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3160\/2054 - 3010\/182?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**4 + 25*r**2 - 338*r wrt r?\nAnswer: -36*r**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q + 24*q = -92 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71082, -71084, -71086?\nAnswer: -71088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.13, -4\/131, -2\/15?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 5:55 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1812288 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -o + 12545, -969 = -2*i - 5*o + 5290. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2233516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 585, 584, 583?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 4:05 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1793563043 to 3 decimal places.\nAnswer: 0.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/369*(20\/8)\/(-5)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-75 - -81) + (-7)\/308*270\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, a: 13}. What is prob of sequence akk?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 33*s**2. Let a(p) = -p + 2. Let y(j) be the third derivative of -j**4\/24 - j**3\/6 + 124*j**2. Let f(q) = a(q) + 2*y(q). Determine f(g(n)).\nAnswer: -99*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -11*m**2 + 12*m + 5. Let o(t) = 20*t**2 - 22*t - 9. Let z(x) = 6*o(x) + 11*v(x). Determine y, given that z(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - (4*sqrt(132) + sqrt(132) - sqrt(132)))*-6 - sqrt(132))\/(4*sqrt(60)\/sqrt(5) - sqrt(12)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-13)\/k*(k\/k**(-11\/3)*k)\/k)\/(k**(9\/5)*k\/(k\/(k*k\/k**(-5)))))**(-31) assuming k is positive.\nAnswer: k**(7967\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 9*i + 6. Let m be y(-8). Let l = m - -18. Let n be l\/9 - (-8)\/36. What is the highest common divisor of n and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 1:51 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -63*q**3 + 11*q**2 + 9*q + 15. Let i be g(-7). What is i rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 100 = -84. Let l = a + -125. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppp. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 41?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 2*m**2 - m + 7. Let s(n) = 4*n**3 - 7*n**2 + 3*n - 21. Let l(y) = -7*o(y) - 2*s(y). Calculate l(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 409\/8. Which is the closest to 14? (a) s (b) 3 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 63*b**2 + b - 1. Let x be s(1). Suppose 0 = 3*a - x - 117. Calculate the remainder when a is divided by 3\/((-1926)\/279 + 7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**4\/4 + 2*f**3\/3 + 3*f**2 + 6. Let t(m) be the second derivative of x(m). What is the first derivative of t(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c = -52. Let q = 23 - 10. Calculate the greatest common divisor of q and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1101*y**6 + 3266*y - 3265*y + 35*y**2 + 35*y**2 wrt y.\nAnswer: -132120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28299\/4 - -7075. Factor -1 - l*j**4 + 3\/4*j**2 - j + 1\/2*j**3.\nAnswer: -(j - 2)**2*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 564 and 47868.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + 2*w**3 - 5*w**3 + (1 - 1 + w)*(w + w**2 - w) - 3*w**3 + w**3 + 4*w**3 as m + r*w + f*w**2 + p*w**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -22916?\nAnswer: 22916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303 + -21034?\nAnswer: -21342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 10 = 0, -t - 4*f + 3760 = -20222. Suppose 10012 = u - 3*s, -4*u - 5*s + t = -16109. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 7:49 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 5503501?\nAnswer: 5503443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tddm when four letters picked without replacement from {d: 7, t: 3, m: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**3 - 120*k**2 - 220*k = 0.\nAnswer: -22, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1)\/(-3 + 5). Let o be 2 + 3\/6*m. Let u(g) = -4*g + 3. Let t(x) = 5*x - 4. What is o*t(c) + 3*u(c)?\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = -5*a, g - 3 = -4*g + 3*a. Suppose -1 = -5*y - 66. Let r(b) = b**2 + 14*b + 13. Let s be r(y). Solve g = -s*f + f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3\/8 (b) -0.07 (c) -5 (d) 15190\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232037283 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.16 + -1.06. Let k be ((-2)\/8)\/(3\/(-4)). Suppose -4*n + 2 = -14. Which is the nearest to j? (a) n (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -169*w**4 + 32838*w**3 - 2*w**2 + 373032.\nAnswer: -676*w**3 + 98514*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -6 + -1 + 2 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - b**2 - 27*b + 5. Let n be z(0). What is the second derivative of -2*h**3 + 3*h + 8*h**5 + 0*h**3 - 94*h**n + 12*h - 1 - 18*h wrt h?\nAnswer: -1720*h**3 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -283244 - -283243.5. Let m = 39 + 47. Sort v, m, 2.\nAnswer: v, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -119 + 1?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(19) + (-3 + sqrt(19) + -3)**2.\nAnswer: -11*sqrt(19) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 898*w + 889*w - 102, -w - 11 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174933 and 1419.\nAnswer: 7522119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 12:38 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14652*r**3 - r**2 + 8535*r - 1?\nAnswer: 87912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 0*m + 0*m)*(m + 2*m - 2*m) + (-m**2 + 0*m**2 + 0*m**2)*(-4 + 4 - 2) + 117*m**2 - 82*m**2 + 110*m**2 to the form j*m + p + o*m**2 and give o.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67392163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 9*i - 18. Let g be q(-15). Suppose -7*m + g = -m. Calculate the remainder when 295\/15 + (-8)\/(-6) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.946+-0.14\nAnswer: 28.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + c = 2*c + 25, 3*k + 2*c - 15 = 0. Let b(s) = -s**3 - 8*s**2 - 7*s. Let j be b(-7). Let g = j + 0. Solve g = k*n - 9 - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263 + 7*a**2 - 263.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/6 or -120317?\nAnswer: -120317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**2\/7 + 637094112*x\/7 - 33824075628755712\/7 = 0.\nAnswer: 106182352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 824835*h**4 + 346*h**2 - 294 wrt h.\nAnswer: 19796040*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**4 - 170*g**3 + 90*g wrt g.\nAnswer: -12*g**2 - 1020*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 167205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115471070 and 15746055?\nAnswer: 346413210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**3 + u**2 - 3*u + 1. Let o(g) = -61*g + 9701. Let d be o(159). Give p(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -173\/11059374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-27))\/((-2)\/(-3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1674999*f - 4. Let s be y(-4). What is s rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14915.835 minutes in hours?\nAnswer: 248.59725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-4 + 1 + -1). Suppose 0 = y - 2*z + 6, -y + 2*z = -z + 9. Solve 4*b + j*l - 6 - 8 = y, -3*l = -4*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -67 (b) -15 (c) 15013 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35704297*i**6 + 50147*i**2 - 70*i + 3 wrt i?\nAnswer: 4284515640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388667.\nAnswer: 67, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -47*d**2 + 27*d - 12 + 44*d**2 - 20. Let w(f) = -f**2 + 9*f - 10. Let u(a) = 2*b(a) - 7*w(a). Calculate u(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1442*w - 72 = 1436*w. Suppose n + 15 = 6*n. Calculate the lowest common multiple of n and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooxe when four letters picked without replacement from ioxnoxeolixxxeo.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 8) to base 15\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9090367 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36139199563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-3 - -5) + 6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oulq when four letters picked without replacement from qlouzzb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 1068?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, d: 1, l: 1, r: 2, o: 1, m: 1}. Give prob of sequence fodl.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**3 - 10*p**2 + 2*p - 12. Let n be g(16). Suppose -5*v + 27708 = -v - 5*s, -5*s - n = -2*v. Let x = v - 62468\/9. Which is greater: -10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145645501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36664356*w**2 - 13488297*w wrt w?\nAnswer: 73328712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -3\/4 (b) 5 (c) -5 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 360216 (base 7) to base 15.\nAnswer: 14393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.3 (c) 1\/4 (d) -70 (e) 134 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*r - 6 = 41*r + 5*z, 0 = z + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 147578*j**2. Let t(q) = 5*q**2. Give t(v(g)).\nAnswer: 108896330420*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 7:20 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3315, 2822, 2031, 942, -445, -2130?\n\"Answer: -149*t**2 - 46*t + 3510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*sqrt(228)\/(sqrt(48)\/sqrt(4)))**2.\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 4*y**2 + 7*y + 9. Let w be q(5). Suppose w*x = 45 + 145. Solve -h - h + x = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.4 + -6.4. Let r = 7 - p. Are 3 and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -48, 17 in ascending order.\nAnswer: -48, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -704 (base 9) in base 11?\nAnswer: -47a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/1896)\/(30\/45).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(2 + -4) - (-146 - -1). Calculate the greatest common divisor of p and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2751*j**2 + 85*j + 553. Is o(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*i - 24 = 0, 8 = 3*a + 3*i + 20. Let p(c) = -c**2 - 2*c + 1. Let z be p(a). What is the common denominator of 53\/20 and z - -10*(-5)\/(-28)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.020687 grams to kilograms.\nAnswer: 0.002020687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 646508, 646504, 646500?\n\"Answer: -4*t + 646512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14641163*u + 1767731 wrt u?\nAnswer: -14641163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47955.\nAnswer: 3, 5, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48.1 - 57. Let r = -1.1 + b. Let g = -9 - r. Do -0.01 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 237658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 5:27 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -5*i, 3*i = -t + 4. Let z = 3 - 2. Calculate the remainder when t\/3 + (-25)\/(-15) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 y, and 1 u when four letters picked without replacement from {u: 1, q: 1, i: 1, y: 2, x: 1, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfncfcvvncccfccc. Give prob of picking 3 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -155489*k**3 + 427*k - 854. Let z(o) = -1095*o**3 + 3*o - 6. What is -3*r(j) + 427*z(j)?\nAnswer: -1098*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-10)\/y)\/y**(-1\/3))\/((y**(2\/5)*y)\/y*y)**(-43) assuming y is positive.\nAnswer: y**(743\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.7616681 and 3.\nAnswer: -68.2850043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 2. Let t be s(0). Suppose 0 = -2*m + 3*m + t*y - 12, -3*y = -5*m + 125. Calculate the least common multiple of 2 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.6 times -0.28\nAnswer: 1.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 168*i\/5 - 3528\/5.\nAnswer: -2*(i + 42)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35430009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 13.2. Let l = k + -0.7. Let w = -3 - -2. Put w, 0.2, l in increasing order.\nAnswer: w, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -17.2?\nAnswer: 6.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -107. Let y = -28 - g. Let j be 14\/30 + 51\/(-85). What is the second smallest value in 3\/5, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 189 - 179. Solve 70 + m = 16*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26228, 52461, 78708, 104963, 131220, 157473?\n\"Answer: -g**3 + 13*g**2 + 26201*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1761549 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 8215*g + 8189*g + 8 - 3.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/17? (a) 0.1 (b) -0.1 (c) 1 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697.8157 years in months?\nAnswer: 8373.7884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3845)\/25 - (-1)\/(-5). Let z be (28\/u - (-28)\/33)*3. Solve -4*b = 3*v + 5 - z, -3*b + v - 12 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2*(-4)\/166. Suppose 17 = 2*b - 5*h - 14, -h = 4*b - 7. Let p be (-10)\/10 + b + -3. Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430719735.\nAnswer: 5, 311, 653, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-388*x**2 + 388*x**2 + 5*x + 2*x**3)*(-3 + 0 + 4).\nAnswer: 2*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 51 = -3*u, 94*s - 92*s + 19 = u. Calculate the remainder when 11294 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 596.75?\nAnswer: -41.7725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lerr. Give prob of sequence err.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 (base 8) in base 10?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*15*2\/4. Suppose 4*p + 5*l - 4*l = 3, 5*p = l + q. Solve p*v - 2 + 0 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 15\/4*r**5 + 17\/120*r**6 - 5*r**2 + 0*r**3 + 18*r + 0 + 0*r**4 - 1\/210*r**7. What is the third derivative of p(h) wrt h?\nAnswer: -24*h + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378980997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23237 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + r + 23, 14 = -11*l - 5*r - 101 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -x - 4*q - 127, 97*x + 4*q = 114*x - 208 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 111100101110100000?\nAnswer: -111100101110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 11*f - 8. Determine v(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 4*u - 14*u + 6*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -u + 5*f, 5*u - 17 = -5*f + 8. Suppose 3*v - 13*v = 520. Let b = v + 59. What is the highest common factor of u and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186955?\nAnswer: 5, 7, 11, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 6 (b) 14 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 182*n - 4711 = -20732, 2*n + 581 = 2*z - 2*z + 405 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -2791*c + 2786*c for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2164 times -275\nAnswer: -595100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -324.7 + 325. Let v(n) = 9*n. Let p(t) = 5*t. Let o(z) = -11*p(z) + 6*v(z). Let u be o(-1). Which is the closest to 0.3? (a) h (b) -1\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 3\/5 (c) -4 (d) 0.36 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16857*d - 2*d**2 - 1798*d - 2*d**2 + 2*d**2.\nAnswer: -2*d**2 + 15059*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2176 is divided by 232?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2. Suppose -a = 2 - 6. Let s be 2\/a*-3*-6. Let d(n) = -s + 2*n + 9. Determine d(i(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 37. Let y = -10 + o. Let u = -4 + y. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1666) - (sqrt(1666) - (-4*sqrt(1666) - sqrt(1666))))*6)\/((sqrt(16)\/sqrt(4))\/sqrt(2) - -2*-2*sqrt(2)).\nAnswer: 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 + 5\/2*n + 5\/4*n**2.\nAnswer: 5*(n - 2)*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 155, 152, 149, 146, 143, 140?\n\"Answer: -3*v + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 195 = 8*x. Let t(f) = 2*f + 62. Let b be t(x). Is 118\/9 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2790, -2787, -2784?\nAnswer: -2781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48076688 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.138585 litres in millilitres?\nAnswer: 7138.585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*k**3 - 59*k**3 + 126*k**3 + 162*k**3.\nAnswer: 268*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 7*b**2. Let q(l) = -l**3 + 7*l**2 - 4*l - 5. Let v be q(6). Let r be z(v). Put 5, -2, r in decreasing order.\nAnswer: 5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 23*z - 28. Determine p(-4).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 421751 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 559903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 708.4572728 to 0 decimal places.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226 = -8*p + 11*p + q, -788*p + 35*q = -784*p + 374 for p.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10104 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2839*n - 462756. Determine i(-163).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2. Let c be a(-1). What is the units digit of (0 + 23 - 3)*c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 108*w**3 + 5*w**2 + 2*w - 25. Let p be a(11). Suppose -15*x = -5*x - p. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*m - 1914640 + 539880, 15 = -3*m. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {c: 5, p: 1, v: 2, i: 2, n: 2, e: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oll when three letters picked without replacement from {l: 3, o: 1, g: 3, p: 1, x: 1, d: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6912)\/(-384)*-4*(-3)\/12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r + 349 = -151 - 310 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 2 (b) 1 (c) 4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 245*k**5 - 100765*k**4 + 3093655*k**3 - 36810215*k**2 + 196330800*k - 394038720 = 0.\nAnswer: 8, 57\/7, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 489390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-170)\/(1*(15 - 20)). Solve s - 132 = c*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*v - 401 = 761 + 553 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 - -2 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f - 10. Solve 3*l**3 - 7*l**3 + 3*l + 3*l**5 - l**4 - f*l - l**4 + 2*l**2 = 0 for l.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-64)*4*0. Solve f + a + 4 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 6*u**2 - 4*u. Let d(v) = -2*v**3 - 13*v**2 + 7*v. What is -13*c(j) - 6*d(j)?\nAnswer: -j**3 + 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56216?\nAnswer: 2, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbv when three letters picked without replacement from {b: 12, v: 7}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*d**6 - 104*d**4 - 2*d**3 + 102*d**2 + 17*d + 2 wrt d?\nAnswer: 1080*d**3 - 2496*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1852, 10 in ascending order.\nAnswer: 5, 10, 1852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1102 + 2042. Suppose -4*b = -3*d + 1210, 2*d - 5*b + 131 - z = 0. What is the derivative of 16*h**2 - 21 - d*h + 402*h wrt h?\nAnswer: 32*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/((-51)\/(-24) - 2). Suppose 2*y - 160 - q = 0. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 24. Suppose 4*g - j = 3*g. Let c(r) = -r + 33. Let z be c(8). Solve -s - 4*s + z = g*t, t = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -8. Let i = 1 + -3. Which is the nearest to m? (a) -2\/7 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 11 = -5*y. Suppose -224 = -t - y*t. Suppose 2*p = -0*p - 5*h + 16, -2*h = -4*p + t. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -48449?\nAnswer: -48449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 7*i**2\/2 + 207. Let d(f) = -7*f. What is o(d(u))?\nAnswer: -49*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/9 - (-8)\/36. Let y(h) = 2*h + 8. Let l be y(-3). Suppose l*t + 2 = 2*z, 0*z = -5*z + 3*t + 11. Solve 4*i + z = 0, 0 = -5*q - o*i + 4*i - 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = -8. Let i = -3 + x. Put -3, 4, i in descending order.\nAnswer: 4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90.9996 - -94.26. Round x to 1 decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 3:38 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5 - 2\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0615*3\nAnswer: -0.1845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 58. Let f be 38 + (l - 4) + -3. Calculate the greatest common factor of f and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 5*u - 475 = j, 0 = j + u - 101. What is the remainder when j is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 3. Let m be q(-2). Let o be (0\/2)\/(-7) - -4. Put 0.3, o, m, 1 in increasing order.\nAnswer: m, 0.3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -904105 - -904105. What is q in n*q - 1\/2*q**2 + 0 - 1\/2*q**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1503.25944997291 and 0.5.\nAnswer: -1502.75944997291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3087132 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 859318793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1872) - sqrt(2548)*-2)\/((sqrt(4) - 2*sqrt(4)*-6) + (sqrt(4) - sqrt(8)\/sqrt(18))).\nAnswer: 24*sqrt(13)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 5*z**2 - 11*z - 14. Let f be h(-6). Suppose 3*v - f = 95. Round v to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 8*k**2 + 9*k + 4. What is the remainder when u(9) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 107686699.\nAnswer: -1\/107686699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*h**3*p*s**3 - 87*h**3*p*s**2 - h**3*p + 52*h**2*p*s**3 + p*s**3 - 4*p*s**2 - 5*s**2 wrt s.\nAnswer: 156*h**3*p + 312*h**2*p + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 6:16 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 22*w + 324. What is p(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -21*x**2 + 2*x + 1. Let j be t(-1). What is the tens digit of (-466)\/j + (-2)\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*5*-2*sqrt(784))\/(sqrt(200)*2*4*6))**2.\nAnswer: 245\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 17 = 5*p, 2*t - p - 2*p - 57 = 0. Calculate the remainder when t is divided by (11\/(-33))\/((-2)\/72).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/121, -2\/9, -3\/8?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-3 - -3) + -3. Suppose a*b + 4*c + 30 = 2*b, -b + c + 15 = 0. What is the remainder when 28 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/3 (b) -1.32 (c) 7 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (352\/27)\/2 + (-24)\/324 - 6\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -639 - -1517. Let l = -881.79 + x. What is l rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyhahjt. What is prob of picking 1 y and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j - 18 + 9*j + 32*j + 16.\nAnswer: 46*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 3*s - 2*s**2)*(0 - 1 + 0) + (3 - 1 + 2)*(-3*s**2 + 2*s**2 + 5*s**2) as t + l*s + n*s**2 and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 - 5*n**2 - 4*n - 3. Let l(j) = -j**3 + j**2 + 1. Let x be l(2). List the prime factors of o(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3 - 947*b**2 + 2*b + 1282991 wrt b.\nAnswer: -3*b**2 - 1894*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054311270.\nAnswer: 2, 3, 5, 17, 2067277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1. Let h = 215 - 214. Let m(w) be the second derivative of w**3\/6 - 2*w**2 + 63*w. Determine h*m(l) + 6*s(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.176 - -0.024. Let u = -10 + 20. Let f = -5 + u. What is the third biggest value in f, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.1 + -4. Let d(t) = -t**3 - 10*t**2 + 12*t + 14. Let w be d(-11). Suppose x + 3 = -w. Which is smaller: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392792, -785581, -1178370, -1571159, -1963948?\nAnswer: -2356737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 26. Let f(v) = 26 + 41*v + 23*v + 15*v - 80*v. Calculate -4*f(c) - 3*q(c).\nAnswer: c - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 15463, 0, 3, -6 in increasing order.\nAnswer: -6, 0, 3, 15463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**2 - 251180*s + 753576 = 0. What is s?\nAnswer: -62798, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48562 is divided by 15090.\nAnswer: 3292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 2:26 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -101331323?\nAnswer: 101331322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddrz when four letters picked without replacement from rzrrrzzrrrddrzrdrdz.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608202.\nAnswer: 2, 3, 7, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*t = -9, -2*d + t - 2*t + 4 = 0. Let m = 13 - -3. Let n = m + -11. Calculate the greatest common divisor of n and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaoao. Give prob of picking 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**(1\/2)))**(-3\/22))**24*((i\/(i*i**(-3)*i*i))\/(i*i**(3\/4)\/i))**(21\/8) assuming i is positive.\nAnswer: i**(807\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -13239444 greater than -13239445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2098*k + 1045*k - 19 + 1052*k)*(2*k - 2*k - 3*k)*(3*k - 5*k + 0*k) + 0*k + 3*k - 3*k**3 + 0*k as t + a*k**2 + z*k**3 + y*k and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 873\/4, -41.2, -4 in descending order.\nAnswer: 873\/4, -2, -4, -41.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.08 + 0.08. Let t = -5.7 - -6. Let b be (-14)\/7*2\/(-8). Sort t, y, b.\nAnswer: y, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 14 = 822*d - 823*d + 11 + 17, -2*s - 28 = -3*d for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -43*f**3 - 2*f**2 - 1098*f - 3292. Calculate the remainder when q(-3) is divided by 399.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -255 + (1 - -1) - -1. Suppose -4*t + 4*b = -t - 4, -b = -2. Let f be t\/((-16)\/a)*2. Calculate the greatest common divisor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2671321 (base 8) in base 9?\nAnswer: -1363174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from idyiyiidiyii.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-3*5\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 14*z + 35. Let y be v(11). Suppose 0 = 3*o + 4*a - 5, 4*a + y = o - 5. Solve 4 = o*k - 7*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 475965 and 5643585?\nAnswer: 39505095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26475 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*d - 120*d**2 + 4 + 145*d**2 - 10*d**2)*(-4*d**2 + 2*d**2 + 0*d**2).\nAnswer: -30*d**4 + 36*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 547.\nAnswer: 2188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 190*c**2. Let d(w) = 2*w**2 - 12*w + 4. Let y(g) = -2*g**2 + 15*g - 5. Let z(i) = 5*d(i) + 4*y(i). Give z(m(n)).\nAnswer: 72200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z + 6*z**2 - 6*z**2 - 5 + 673*z**2. Let d be i(5). Suppose -2*s = 2*s + d. What is s rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 16. Suppose t - 4 = h*u + 5*t, -5*u = -5*t - 25. Suppose -u*p + p = 0. Solve 5*v + p*v = -25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 20. Let c be g(-14). Let i(y) = 8 + 5*y - 2*y - 2*y. What is the remainder when 40 is divided by i(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -7, 2, 3, -2\/59, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 81 (b) -1\/4 (c) 12 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let x(s) = 355*s. Let m(p) = -13*p. Let r(q) = -55*m(q) - 2*x(q). Determine r(v(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/19337?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 - 4*b**4 + 0*b**4)*(-2877*b + 1 + 1017*b + 975*b).\nAnswer: 1770*b**5 - 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-8))\/(-2 + 4). Suppose -1\/4*k**2 + 0*k**3 + 0 + 0*k + d*k**4 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 21261?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -528.1 (c) 1 (d) -6\/11 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-1 - 2 + 2)*((0*y - 3*y**2 + 0*y)*(-4*y**3 + 0*y**3 + 5*y**3) - 2*y**5 + 0*y**5 + 0*y**5).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.21799915 + 0.218. What is v rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67 - 59)*(2 - (-15)\/(-6)*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123848778 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/65 and 31\/150.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -886630\/9, 4, 0.5 in descending order.\nAnswer: 4, 0.5, -886630\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8240 and 2753520?\nAnswer: 283612560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**8\/84 - 11*t**7\/315 + 11*t**6\/90 + t**5\/90 - t**4\/6 + 8*t**2 + 2. Solve c(d) = 0.\nAnswer: -3, -1\/2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + 13. Let g be d(-5). Let y be g\/12 - 353\/4. Let h = -86 - y. Solve -4*t + 16 = -h*j, 0 = j - 2*j + t - 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 16278 and 16278 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from goggoopggttotgog. What is prob of sequence optt?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 4*u**2 + 3*u - 3. Let l be b(3). Let a(j) = -j**2 + 15*j + 95. Let h be a(-5). Sort h, -90, l.\nAnswer: -90, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51491389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3\/20, -0.02, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 35 = -6*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8384, 16768, 25154, 33542, 41932, 50324, 58718?\nAnswer: 67114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27 - -35)*((-6)\/(-8) - -1). Suppose -2*z - 13 = -4*o - 3*z, 5*z + 23 = 2*o. Solve 0 = -o*g - 0*u + 3*u - l, 3*g + 5 = 5*u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 divided by 12?\nAnswer: -91\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 16 = 12*f - 10*f, -3*f = 5*l + 42 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6 and -1225095.\nAnswer: -1960152","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 3.26 times -692596?\nAnswer: -2257862.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -190 - 4?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -330 + 7*k + 98 - 2*k + 107 + 112. Let j(o) = -3*o + 12. Let g(w) = -3*j(w) - 2*n(w). Give g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -13\/3 (c) -5 (d) -2\/5 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.396 - 0.604. What is the fourth biggest value in 0.06, 0.5, -6, h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -221?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -20. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1312 - 3?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (-39)\/(-15))*5. Suppose 0 = 3*f - 0*f - s. Calculate the remainder when 55 is divided by (28\/f)\/((-2)\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**3\/7 + 64*i**2 + 7116*i\/7 - 1080 = 0.\nAnswer: -15, 1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1052*g + 5*g**3 - 973 + 7*g**3 + 1052*g + 973.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 + -15. Suppose -4*q - j + 232 = j, -o = -q - 2*j. Calculate the remainder when q is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.67 and 4.0269.\nAnswer: 10.751823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 21. Let q be ((-20)\/6)\/((-12)\/l). Suppose -q*w + 363 = 143. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:24 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 5, -4, 1.\nAnswer: -5, -4, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -12*i - 71 + 145 - 74. Let j(c) = 3*c. Let d(t) = 2*t**3 + 2*t**2 - 2*t + 1. Let u be d(2). Give u*j(k) + 5*x(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 118790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - o + 5*o)*(-2 - 2*o**2 + 2)*(-4*o - o + 3*o)*(-5 + 1 + 2)*(0 - 1 - 1) to the form h*o**3 + w*o + n*o**2 + s + k*o**4 and give k.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159057 and 7672?\nAnswer: 8907192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/18335?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 10480?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -13, -15, -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-4*(-3)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129*d**3*p + 57*d**3 - 472*d**2*p - 8446872*d + 2*p wrt d.\nAnswer: -774*d*p + 342*d - 944*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43493, -91285, -139079, -186875?\n\"Answer: -r**2 - 47789*r + 4297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = 0. Suppose -4*g - 4*z + s*z + 52 = 0, 2*z = -g + 16. What is the remainder when 37 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049938 rounded to five dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.3 (b) 0.1 (c) 0.2 (d) -27\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*k = 6, 354 - 348 = u + 2*k. Sort u, -4, 27.\nAnswer: -4, u, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 6 = -2*t. Suppose 3*y = -28 + 94. Let o = 29 - y. Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/10 + 6\/15 + -3. Is l greater than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/730710197?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42164 and 1270.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*c - 4*k, -c - 7 = -5*k + k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.409, -2\/5, 2\/3, 0, -31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, -5, 0.2, 5, 1\/8, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -532.4 - -599. Let w = 67 - s. What is the smallest value in -1\/3, -4, w, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmffcjefmmj. What is prob of picking 1 j and 1 e?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 14*w**2 + 587*w - 39. Calculate j(-42).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4382818 and 430?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 plus 0.0768?\nAnswer: 0.0268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 3 + 3 - 5 - 4. Calculate the least common multiple of 11 and n(8).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1148*g + 573*g + 564*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g = -180*g + 21630. Calculate the remainder when 503 is divided by g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 0.718, -2511 in descending order.\nAnswer: 0.718, 0, -1, -2511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1007e4 - -2?\nAnswer: 1007e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-40)*(-5)\/76. Let d = u + 299\/760. Sort -0.5, 3, d in increasing order.\nAnswer: -0.5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 80*x - 2108*x - 3 - 3219*x.\nAnswer: -5407*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) 2\/3 (c) 9 (d) 8\/5 (e) -1\/2 (f) 2\/5 (g) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1913 divide 16688022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 2:29 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -863 by -1.\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/60 of a minute?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2882*j**3 - 5*j**4 + 2*j**4 + 1 - 2892*j**3 - 2*j**2 to x + w*j**4 + r*j**3 + q*j + d*j**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 3. Let y be h(0). Suppose 100 = -y*r + 4*r. What is the highest common divisor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -1709 + 1618. Solve 12 = 13*a - n*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5561 - 3749. Let f = -335 + x. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**7\/42 - 7*t**3\/6 - 6*t**2. Find the first derivative of s(n) wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4\/13 - 662956*v**3\/13 + 13921192*v**2\/13 + 662956*v\/13 - 13921194\/13 = 0. Calculate v.\nAnswer: -1, 1, 21, 331457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 790 and 90.\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 52. Let g = -1 + 3. What is the highest common factor of x and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5667*r + 3231*r - 5400*r)*(2*r**2 - 1 + 1)*(3 - 3 - 1) in the form l*r**2 + s*r**3 + c*r + d and give s.\nAnswer: -6996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 + -80. Suppose -4*d - 80 = -4*a, 5*a - 11 = -4*d - 46. Let l be ((-6)\/(-105))\/(3\/d). What is the second biggest value in y, l, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-36) + (-7144)\/6327. Is 0 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_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 f = 2 + -10. Let v = f - -12. Let w = v + -7. Sort 2, 1, w in descending order.\nAnswer: 2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2878964 divided by 118?\nAnswer: 24398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 4*w - 4. Let v be b(-3). Let k(g) = -g**3 - 7*g**2 + 4. Let i be k(v). Suppose -10 = -3*j - i. Solve -3*l - 12 = 0, j*n - 3 = l + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 560736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0.4. Let k = 0.1 - t. What is the biggest value in -4, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 690 = h. Let m = h + -50. Let f be (-12)\/((-1)\/2 - 1). Calculate the greatest common factor of f and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vap when three letters picked without replacement from {a: 5, m: 3, f: 1, p: 2, v: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l - 4. Let s be 1\/((-1 + 0)\/l). Suppose 27 - 5 = s*r + f, -2*r + 12 = -4*f. What is the lowest common multiple of r and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 47*i - 45*i - 3200535, 0 = 5*t + 3*i - 3200540. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422847721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/4416 and -101\/42.\nAnswer: 30912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 263 - 259 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11\/6)\/1 + (-56)\/168. Let o = 13.8 + -14. Which is the closest to i? (a) -1\/3 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 5 = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**3 - 28*f**2 + 368*f - 12. Determine y(10).\nAnswer: -2132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 431, 450, 469, 488, 507?\n\"Answer: 19*a + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 9*r - 714.\nAnswer: 3*(r - 17)*(r + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*a = -14, 21*t - 17*t - 5*a = 28 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1222.294 centuries?\nAnswer: 122229.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**3 + 184*h**2 + 98*h + 11. Is y(-29) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -81 (b) 5 (c) 4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 704 by 11.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7066176 divided by -1766544\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*o + 778, -5*z + 4*o + 1572 = -307. Let c = z + -169. What are the prime factors of c?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836 and 68841828?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -n + 14. Suppose 3*o + n = 7*o. Suppose 0*j - 36 = -3*j. Solve j = -3*z + o*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 54. Let v be z\/(-4) + ((-3)\/(-2))\/3. Factor 4\/13*a + 0 + 18\/13*a**3 + 10\/13*a**4 + 2\/13*a**v + 14\/13*a**2.\nAnswer: 2*a*(a + 1)**3*(a + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28975327*s**5 + 238832482*s**2?\nAnswer: 1738519620*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - f**3 + 0*f**3)*(0*f**2 - f**2 - f**2)*(4 - 4 + 2 - 1 - 1 + 0 + (-1 - 2 + 1)*(-1 - 3 + 5) + 2 - 2 - 3).\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5024753537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -86, -83, -82, -83?\n\"Answer: -u**2 + 6*u - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**5\/180 - r**4\/36 - r**3\/18 + 5*r**2\/2 - 2*r. Let c(t) be the first derivative of l(t). Suppose c(a) = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 - 226 = -4*p. What is p rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 932, 2124, 3804, 5978, 8652, 11832?\nAnswer: 15524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -711.5 and 0.3?\nAnswer: 711.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5889520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**6\/24 + 13*n**5\/6 - 45*n**4\/8 - 205*n**2. Let k(u) = 0. Calculate u.\nAnswer: -27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/(-6) - (-7)\/(-21). Let k(o) = o**3 + 8*o**2 + 3*o + 19. Let q be k(-8). Sort q, -6, n, 3 in descending order.\nAnswer: n, 3, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 112 and -922\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 3 + 0*j + 2. Let z = 0 + 7. What is the units digit of d(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 740569824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, p: 2, w: 3, o: 5, b: 3, a: 6}. What is prob of sequence ewab?\nAnswer: 3\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 9) + 2 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = s + 8, 2*s - 2*m = -10. Let g = s - -11. Suppose n - 2 = 4*j, -j - 5 - 5 = -5*n. Which is the second smallest value? (a) j (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(3) + 0 - sqrt(3) - sqrt(3))**2.\nAnswer: -114 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) -4 (c) 5 (d) 1 (e) 132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14956 or -0.0802?\nAnswer: -0.0802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*t - 323 = 172*t - 317*t for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(152)\/(sqrt(1152)*3).\nAnswer: sqrt(19)\/36 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v = 60. Let m(a) = a**3 - 36*a**2 - 36*a - 53. Let l be m(37). List the prime factors of ((-153)\/v)\/((-3)\/l).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -36. Suppose -u + l*u = 15. Suppose -4 = -5*i - u*k, 3*i + 2*k = -0*i + 2. Solve -5*f + 6*d - i*d = 45, 5*f + 20 = -d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -209 divided by 11\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, z: 4, y: 2, d: 2, s: 1, i: 2}. Give prob of picking 2 d, 1 x, and 1 y.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20076 (base 8) to base 9\nAnswer: 12281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.88 + 24. Let z = k - 0.12. What is the closest to z in -2\/5, -2, -3\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694265?\nAnswer: 5, 11, 13, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.620401 tonnes in milligrams?\nAnswer: 6620401000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 96\/1008 + 61\/21. Solve -8 = 2*v + x*t, -6*v + 14 = -v - t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 1161.\nAnswer: 1160.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.47 + -0.03. Let m = -78.3 - -84. Let r = -6 + m. Which is the second biggest value? (a) 5 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*o**3 + 865*o**3 - 1700*o**3.\nAnswer: -487*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 19. What is the units digit of (u\/5)\/(27\/(-90))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -488837 and 68534.\nAnswer: -420303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 2*a**2 + 1\/12*a**4 + 1\/30*a**5 + 0*a**3 + 0 - 2*a. Let d(q) be the first derivative of u(q). Factor d(m).\nAnswer: 2*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2210 (base 4) to base 9\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3216 = -u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842*p + 785*p - 2274*p + 831*p = -5888 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 825, 6536, 22005, 52110, 101729?\n\"Answer: 813*v**3 + v**2 + 17*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let u(c) = 7*c**2 + 18*c. What is u(m(i))?\nAnswer: 7*i**2 - 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -3, -715 in descending order.\nAnswer: 1, -3, -4, -715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 9*l + 15. Let f(v) = v**2 - 1. Let g(h) = -3*f(h) - s(h). Let c be g(8). What is the units digit of 2\/(-8) + (-49)\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.29786558.\nAnswer: 0.59573116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -69*r**3 + 44*r**4 - 8 + 69*r**3 + 2*r - 59 - r**2. What is the second derivative of v(t) wrt t?\nAnswer: 1056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = -4. Let h = u - -1. Let b be (2\/h)\/((-5)\/(-125)). Solve -5*s - b = 0, -2*q - s - 5 = -0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3694776?\nAnswer: 2, 3, 153949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yam. Give prob of sequence mya.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3203550 and 45360?\nAnswer: 25628400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, i: 1, d: 1, c: 2}. Give prob of picking 2 u, 1 d, and 1 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -5*p**4\/12 - 17*p**3\/6 - 3*p**2 + 2*p. Let z(l) = -2*l**2 - 8*l - 3. Let n(c) = -3*i(c) + 7*z(c). Calculate n(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -38. Suppose d = -6*v + 39 + 27. Suppose -c + 31 = 5*j, -c + j + v + 8 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 7*f - 4. Let j be l(7). Let o = 7 - j. Let w = 26 + -2. What is the greatest common divisor of w and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390887293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 minus 2362046.8?\nAnswer: -2362148.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16371?\nAnswer: 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**2*v**2 - 2*q**2*v*w**3 - q**2*v*w**2 - 634*q**2*v - q**2*w - 3*q*v**2*w**3 + 235*v**2 wrt v.\nAnswer: 4*q**2 - 6*q*w**3 + 470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-135)\/(-10))\/(-3 - 5\/(-2)). Suppose -56 = -t + 3*t. Is t less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66956830?\nAnswer: 2, 5, 769, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 93011792489514?\nAnswer: -93011792489513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2375 or 1067007\/449?\nAnswer: 2375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 - 5 - (-136)\/(-28). Sort 3, -0.1, -33, v in increasing order.\nAnswer: -33, -0.1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52*k - k + 18*k)*(-89 - 8*k + 7*k - k) in the form m + t*k + s*k**2 and give t.\nAnswer: 3115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610 = -44*w + 220 + 302 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81199968.63 + -113364.63. Let q = 81085397.99239 - j. Let w = 1206 + q. Round w to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*x**3 - 2*x**3 + 2*x**3 + 2 wrt x?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*x - 28 = 0, 0*c + 10 = 4*c + 3*x. Let f = c - -14. What is the highest common factor of 162 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 764586*o + 2. Let g(k) = -7*k. Determine g(u(z)).\nAnswer: 7*z**2 + 5352102*z - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-483)\/(-20) - (121\/(-110))\/11 and -89\/2390.\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8984*s**2 - 9083*s**2 - 9088*s**2 - 9079*s**2 + 36237*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 2, g: 3, h: 1, v: 4, q: 1}. Give prob of picking 1 d and 1 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 21. Let t = -4 - g. Suppose 3*k = -4*s + 49, -2*s + t*k + 44 = s. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 465, 1117, 2211, 3753, 5749, 8205, 11127?\n\"Answer: v**3 + 215*v**2 + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22320)\/10540 + 3555\/595?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (9 - 6)) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - -1. Let s be (-18)\/(-14)*-1 + 1. Let z = -1.94 - -2.04. Which is the nearest to 1? (a) m (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 - 495*r**2 - 213*r + 7434. What is n(-247)?\nAnswer: -964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 81\/4 of a century?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 0*m**3 - 3*m**2 + 0*m**4 - 1\/6*m**6 + m + 0 + 0*m**5. Differentiate c(r) wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 - (124 - (-32 + 100)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 5. Let k be g(-5). Let o be (k + 4\/6)*3. Let l(s) = 2*s + s**2 - o*s. Let t(a) = 2*a. Determine t(l(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 8*q**2 - 12*q - 38. What is y(-6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 155*x**2 + 1435*x - 4165.\nAnswer: 5*(x - 17)*(x - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 11*w**2 + 7*w - 69. Determine q(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/4))**36\/(q\/(q**2\/q))**(20\/3) assuming q is positive.\nAnswer: q**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33762.927644 + 33763. What is g rounded to 4 dps?\nAnswer: 0.0724","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 45 - 17 = 0. Suppose -7*i + 164 = -32. What is the greatest common factor of a and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-3 - -4 - 4) + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/4 of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) + 1 - sqrt(19))*5 - sqrt(19))*-2 + (-1 + sqrt(1539))*-1 - (-5 + 1 + -4*(sqrt(1539) + 1)))**2.\nAnswer: -58*sqrt(19) + 15980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52200*g**4 - 1767*g + 233818596?\nAnswer: 208800*g**3 - 1767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1805 - 4410 - 12808 = -1119*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-28))\/((-28)\/78). Let u be ((-259)\/(-343) - -5) + (-24)\/4. Let j = v - u. Calculate the common denominator of j and 1\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147865 - 82081171?\nAnswer: -81933306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 15695.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1267500 and 2856438.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 8215 = 3748. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651811784 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 16 in descending order.\nAnswer: 16, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q = -127 + 55 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/3369 or 1?\nAnswer: 5\/3369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 176\/440*2504270\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/20 and -13\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -16\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 1, 7 in ascending order.\nAnswer: 0, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -10. Let q(i) = -i**2 - o*i + 6*i. Let g(u) be the first derivative of -u**2\/2 - 9. Calculate q(g(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 78671 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = -3*q, -42 = -5*q - k - 2*k. Let i(l) be the third derivative of -l**6\/120 + l**5\/10 + l**4\/24 - 4*l**3\/3 - 2*l**2. Determine i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*n + 784*n - 34784 = -329*n - 1282*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8725.4 - 8723.4. Let u(m) = m**3 - 7*m**2. Let f be u(7). What is the fourth smallest value in -2\/9, -2, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.094831 (b) 2\/11 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11623488 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 19*p**2 - 35*p - 18. Give b(17).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -325*g - 1. Let o(n) = -n**2 + 54*n. Give l(o(t)).\nAnswer: 325*t**2 - 17550*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -59, -60, -61, -62, -63?\n\"Answer: -q - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164182, 328376, 492570, 656764, 820958, 985152?\nAnswer: 1149346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.149 from -64.\nAnswer: -64.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + (112 - 90) + 46?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -411? (a) -0.5 (b) -0.4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (67 - 9) + (410 - 409)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 39*y**2 + 73*y - 33. Let u be x(-37). Solve 2*a + 4*r = -8, a + 3*r + u = -0*r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125960 and 10105.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -567339, -1134676, -1702013, -2269350, -2836687, -3404024?\n\"Answer: -567337*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13662 and -1212?\nAnswer: 16558344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**10\/4320 + t**7\/2520 - t**4\/4 + 4*t. Let r(y) be the third derivative of n(y). Find the third derivative of r(c) wrt c.\nAnswer: 420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227179492?\nAnswer: 2, 43, 1320811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**3 + 6*f**2 - 4*f - 14. Let s(m) = -6*m**3 - 5*m**2 + 4*m + 13. Let u(n) = -5*g(n) - 6*s(n). Does 19 divide u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100432 (base 5) to base 3.\nAnswer: 11110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**4 + 70*i**3 - 260*i**2 + 330*i - 135 = 0.\nAnswer: 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4148 and 56236.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, t: 4, z: 4}. What is prob of sequence zkt?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1428*t - 2849*t + 34*t**2 + 1421*t - 115*t**2.\nAnswer: -81*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + -7)*2\/1. Suppose 2*g = 3*i + g - 5, 0 = -i + r*g - 5. Solve -2*w + 6*t - 9 = t, 0 = i*w + t - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2046 - 1983 = -150*j - 129 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362511384.\nAnswer: 2, 3, 103, 146647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2133 (base 5) to base 13.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, 2226, 6254, 11904, 19182, 28094?\nAnswer: 38646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (360\/(-55))\/(-12)*-3*(-2)\/(-12)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12614?\nAnswer: 2, 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i = -4*z - 32, -i - 4 = 0. Let g be z\/14 - 204\/21. Let l = g + 18. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3214688.\nAnswer: 2, 100459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*4\/(-1)*(-1640)\/5740?\nAnswer: 104\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 23467*y**3 - y - 7*y**4 - 5*y**2 - 4*y**4 - 23467*y**3 - 2 in the form p*y**4 + q*y**3 + d + u*y**2 + o*y and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-6 - -4) + (3 - (-5 + 0)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 169*o**2 + 336*o + 35. Calculate m(-6).\nAnswer: 4103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4883 - -116874?\nAnswer: 122867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8680000 and 160000?\nAnswer: 34720000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 68*o - 66. Let p be z(35). Suppose -5*b = -2*q - 577, -q - p*q = -5*b + 565. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5004\/15 + (-24)\/(-60). Let q = x - 333. Let k(p) = -p - 3. Let d be k(-6). Sort d, q, -5, -1 in descending order.\nAnswer: d, q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 5*g**2 - 91 + 48.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 20*p**2 - 30*p - 2. Calculate the lowest common multiple of 10 and k(3).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 - 118. Let y be (12\/3)\/(c\/75). Let s = -54 + y. Let j(d) = -d**2 - 4*d. Give j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 6862129?\nAnswer: 6862126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58487 and 6626191?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*c = -0*r + 268, -4*r = c + 554. Let l = r - -147. Put -2\/7, 1, l, -4 in increasing order.\nAnswer: -4, -2\/7, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/9 + 202058*m**2\/9 + 2020130*m\/3 + 5049950 = 0. Calculate m.\nAnswer: -100999, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 36 + 61)*(-4*q**2 + 0*q**2 + 0*q**2).\nAnswer: -304*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 0 + 0*r**2 + 0*r**5 - 12*r - 5\/21*r**7 + 0*r**4 - 2*r**3 + 0*r**6. Find the second derivative of n(t) wrt t.\nAnswer: -200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*d + 3*d + 13, -3*d = -3*v - 27. Let p = d + -2. Suppose 0 = -p*u + 8*u. Is u greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3*f**2 + 6*b**3*f + 23*b**3 - 5*b*f**2 with respect to f.\nAnswer: -2*b**3*f + 6*b**3 - 10*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50696897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 + 3*n**4 - n**4)*(148*n + 9 - 2*n - 9).\nAnswer: 146*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/f)**(-2\/15)\/(f\/(f*(f*f*f**0*f)\/f*f))**(-1\/6) assuming f is positive.\nAnswer: f**(-19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 4*j**3 - 48 - 2*j + 102.\nAnswer: -4*j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1110945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**14*u)*u*u**31*u assuming u is positive.\nAnswer: u**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*s = 2735 - 183. What is the remainder when 259 is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -158\nAnswer: 3\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*d - d = 4, 0 = -o - 4*d + 19. What is the smallest common multiple of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 + 4*j + 8. Let s(z) = 9*z**2 - 11*z - 22. Let p(t) = 11*n(t) + 4*s(t). Let o(x) = 5*x - 7*x + 5*x. Calculate o(p(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 300?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - -4 - (-1 + 9). Let y = b + 11. Let x(q) = -q**3 - q**2 + 2*q - 3. Calculate x(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from {p: 4, l: 6}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181221 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/465 and 77\/692694?\nAnswer: 107367570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7 + 22 = 0. What is the second derivative of -6*s**x - s + s + s wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244214594 to the power of 1\/2, to the nearest integer?\nAnswer: 15627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uookzzoozgoooguzuz. What is prob of picking 1 o, 1 u, and 1 k?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 5*p = -34*w + 3105, 0 = 3*w - p - 4683. What is the smallest common multiple of 182 and w?\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/12 and (-1)\/(-2)*(-3 + (-233)\/(-21)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -611 or -613?\nAnswer: -611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 35*d - 882. Let a be v(52). Let g(u) be the first derivative of 6 - 1\/2*u**a + 3*u. Calculate g(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(72\/136) + 8 - 2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 0.362.\nAnswer: 2.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10067107417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1649, 1784, 1999, 2288, 2645, 3064, 3539?\n\"Answer: -d**3 + 46*d**2 + 4*d + 1600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 287\/2 or 145?\nAnswer: 287\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q - 32*q + 6 = 0. Solve 4*w - q*u + 18 = 2*w, 0 = -2*w - 5*u + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i + 4. Let j be s(-2). Let b be 15 + 1 + 0\/2. Let c = b + j. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 25*p - 38. Let f(i) = 75*i - 113. Let d(j) = 17*b(j) - 6*f(j). Find the first derivative of d(v) wrt v.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i**2 - 6*i**2 + 21*i**2. Let t(r) = -17*r. Let s(k) = -84*k. Let c(n) = 5*s(n) - 24*t(n). Calculate c(f(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*p**3 + 3\/2 + 9\/2*p**2 - 9\/2*p.\nAnswer: -3*(p - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8034 and 824382.\nAnswer: 84911346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1350 (base 8) in base 7?\nAnswer: -2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -17*v - 31. Let x(m) = 25*m + 46. Let f(k) = -7*r(k) - 5*x(k). What is the units digit of f(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m - 18. Let s be j(-7). Differentiate -4*c**s - 8 + 8*c**3 - 10*c**3 with respect to c.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 49*m**2 - m. Suppose 3*r - 2*r - 7 = 4*b, -4*r = 2*b - 10. Is 19 a factor of n(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358965782 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20325 or 1?\nAnswer: 20325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, -11641, 9, 4\/3 in ascending order.\nAnswer: -11641, 4\/3, 9, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8693 - 5122. Is 44 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/13968 and 59\/11640.\nAnswer: 69840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/10 + (-6)\/15. What is the second derivative of 0*b - 10*b**2 + 6*b**u + 7*b**2 + 4*b wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, f: 3, a: 4, v: 2}. Give prob of sequence fv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - d + 12. Let n = d + 17. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + -1*5*sqrt(27)\/sqrt(81)))**2.\nAnswer: 160*sqrt(3)\/3 + 448\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 56\/90 + (-2)\/5. Let n = 17535 - 17535.53. What is the closest to 0 in p, 5, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -268, -255, -274, -325, -408?\n\"Answer: -16*b**2 + 61*b - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -35450684?\nAnswer: 35450687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 70?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(64) + sqrt(4)) - sqrt(5) - (sqrt(5) + 5 + -5))**2.\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-15)*3 + 153\/45. Which is the smallest value? (a) k (b) -0.12 (c) 0.3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 o when four letters picked without replacement from oooleeoeo.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3556 = 4*c, -p + 3584 = -8*c + 5*c. What are the prime factors of p?\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27632461139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 2 - (99 + -75)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**4\/9 + 80*f**3\/3 - 2932*f**2\/9 + 1720*f\/3 - 2464\/9 = 0.\nAnswer: 1, 14, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-645)\/(-30) + (-2)\/(-8)*-2. Suppose 32*q = 35*q - k. Calculate the remainder when 12 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5413\/35 + 774\/5. Factor 1\/7*m + 0 - v*m**2.\nAnswer: -m*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 2 f when four letters picked without replacement from {b: 2, n: 1, c: 2, f: 3, r: 6, z: 5}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, -0.3, -5, -0.24, 0.2?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 4 - (-151 + (-62 - -116))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ttttytttttttttttttt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -49*k**2 - 81*k**2 - 2 + 5*k + 8 + 2 + 12*k**3 + 97*k**2. Let s be g(28). Round s to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 - 436*s + 9 + 437*s to u + h*s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4*l\/((l\/(l*l\/(l**(-5)\/l)))\/l))**31*(l**(-1)*l)**(-9\/8)*l**(-2\/13)*l**(1\/3) assuming l is positive.\nAnswer: l**(15724\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1 - 2*h**2 + 2*h - h**3 + 3 + 1. Let s be f(-2). Let m = 11 + s. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.124 - 31.1204751. What is r rounded to 4 dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 40*r**2 + 46*r - 176. Let l be p(4). Calculate the greatest common divisor of 72 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neeeeeeen. Give prob of sequence eene.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-8) - 114\/(-8). Let d(i) = i**3 + 34*i**2 + 33*i + 14. Let p be d(-33). What is the greatest common factor of c and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**4\/12 + u**3\/3 - u**2\/2 + u + 1. Let r(n) be the first derivative of f(n). Give r(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 26*b - 36. Let h be i(-7). Find the third derivative of 114*f**3 + 202*f**2 + 391*f - 196*f - h*f wrt f.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*s - 8*s - 21 = 0, -8 = -m + s. Let g(q) = q**2 - 6*q - 8. Let v be g(8). Solve -m*o = 17 - v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(5 + -2) - 0. Is 0.6 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 7)*4810\/(-10). Is h smaller than 482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 5*s + 102. Calculate j(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.151? (a) -9 (b) 0.5 (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/10*((-10)\/5)\/((-84)\/(-105))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-42) + (-74)\/14. Let v = 7 + a. Solve -i - v*s = -1, 5*i + 0*s = s - 28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -830 - -1415. Let n be 4\/10 + (-104)\/j. Determine w so that -n + 0*w + 2\/9*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kugn when four letters picked without replacement from nlguggkuulkg.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r. Suppose r = -2*x - 3*o, 5*o = 2*x + 2*x. Solve x = -s - 1 + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*k*r - j*k + 26*j*r*u - j*r + 4*j + 3*k*r*u - 2*k*u with respect to u.\nAnswer: 26*j*r + 3*k*r - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from nqnqlqx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3))\/(6\/558). Calculate the common denominator of 10\/(-10) + c\/32 and -1\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**5\/450 + 37*w**4\/10 + 12321*w**3\/5 + 965*w**2. Factor p(o).\nAnswer: 2*(o + 333)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280\/42*2\/(-4)*(-97)\/((-12125)\/(-300))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + sqrt(2057))**2 - (sqrt(2057)*2 + -4 - sqrt(2057)).\nAnswer: -55*sqrt(17) + 2065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*i**2*o + 209*d**3*i*o - 7013*d**3*o + 145181*d**2*i**2*o - 41*d*i**2*o + d*i**2 - o wrt d.\nAnswer: -6*i**2*o + 1254*i*o - 42078*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -469.625621 to 1 dp.\nAnswer: -469.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((2\/(-2))\/(-1))\/(14\/(-1358)). Let p = r + 103. Calculate the least common multiple of p and 76.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -5, 20\/19 in descending order.\nAnswer: 20\/19, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16740107 rounded to four dps?\nAnswer: 0.1674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Suppose -96 = -4*l - p*h, -3*h - 96 = -4*l - h. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 24*f - 6. Suppose -5*c + w - 79 = -3*w, -c = 3*w + 12. Let t be u(c). Let d = 179 - t. What are the prime factors of d?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -188 + 191. Let s = 0.0016 + 0.3984. Which is the nearest to -2? (a) s (b) r (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-1 - (4 - 9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 16. Let q be p(-5). Let g(i) = -i + 6. What is g(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Let r(b) be the third derivative of b**4\/2 - b**3\/3 + 162*b**2 + 1. What is 5*j(h) + r(h)?\nAnswer: 7*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -19*l - 110. Calculate x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25434 - 2994 = 68*q. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 14. What are the prime factors of g(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from garqj. What is prob of sequence ar?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011 - 1010110111001?\nAnswer: -1010111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.5 (c) -3578\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5897 - -47253\/8. Let f be ((-12)\/2490)\/((-184)\/446694). Let c = f - -3\/9545. What is the common denominator of c and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102627?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 92 = 452. Let c be 5 - -4*(l\/(-16) + 2). What is the greatest common divisor of c and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 99, 225, 401, 627, 903, 1229?\nAnswer: 1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 217*n - 104*n - 60*n - 99*n. Let t(d) = 0 + 1 - 1 - 7*d**2. Calculate o(t(q)).\nAnswer: 322*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -15207*f - 136851. Determine d(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -19*n + 108. Let u be f(4). Let i(j) = j**2 - 31*j - 16. Let o be i(u). Suppose 320 = 4*b - 0*b. What is the highest common divisor of b and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14298.7 millilitres?\nAnswer: 14.2987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 53418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/2)\/(-3)*23\/((-1104)\/(-64))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 - k**2)*(-2*k**3 - 7*k + 7*k).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.6 + 29.6. Let j be 42\/(-92) - (-1)\/1. Let s = j - 1\/23. Which is the second biggest value? (a) -0.08 (b) s (c) -0.1 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129 + 131. Let k(w) = 141*w**2 - 17*w + 32. What is the hundreds digit of k(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -10*w**2 + w + 3. Let r(n) = -n**2 - n - 1. Determine d(t) + 3*r(t).\nAnswer: -13*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 372 - 265. What is the remainder when s is divided by (-3956)\/(-215) - 4\/10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 190 + 4*j + 243 - 6*j + 49 + 77 to o + k*j and give o.\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - (2 - 3 - -2)) + 1. Suppose -2*f - 15 = 3*x - 14, 0 = 2*f + r. Sort 21, -2, 3, x in ascending order.\nAnswer: -2, x, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 597 = 77. Suppose z - o = -4*z. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**3 - 9*s**2\/2 + 11*s - 9881. Let b(c) = c + 16. Let k be b(-5). Let v(w) = -w**2 - 3*w + 4. What is k*v(t) - 4*x(t)?\nAnswer: t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 48, 40, 18, -24, -92, -192, -330?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 18*j + 102. Calculate h(-23).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3 + -3 - (1 - 3)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -147922707, -147922694, -147922657, -147922584, -147922463, -147922282?\n\"Answer: 2*j**3 - j - 147922708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/121 or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 345, 777, 1383, 2163, 3117, 4245?\nAnswer: 5547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + 408697?\nAnswer: 408714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 149*s + 5 + 13 + 88*s.\nAnswer: -61*s + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29679681151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 52*i**2 + 3*i + 3. Let r be l(-4). Let z be 1*(0 + 2\/1). Suppose -z*b + 2*a = b - 2493, b = -2*a + r. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -846\nAnswer: -676.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1097187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-18)*((-90)\/140)\/(159\/(-371)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442267883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4 = h - 2*u, -u - 4 = -2*h. Suppose 15 = -h*o + 7*o. Suppose -o*t + 8*g - 4*g + 41 = 0, 4*t = 2*g + 34. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1973*y - 1278*y + 4085*y + 4509*y + 3385*y + 576*y.\nAnswer: 9304*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -135054 (base 15) to base 3\nAnswer: -1202011020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 5 - 16) + -20 + 22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 9624*z = -9629*z + 75, 0 = -5*c - 7*z - 71 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 329011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + l**2 - 4*l**2 + 8 - 3*l**2 + 13*l**2.\nAnswer: l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 29 + 1 = -4*w, 3*y = -12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1089) + sqrt(9))\/(sqrt(108)*-4).\nAnswer: -17*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**6\/180 + 3*j**5\/20 - 5*j**4\/6 + 4*j**3\/3 + 305*j. Let t(y) be the second derivative of u(y). Suppose t(d) = 0. What is d?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76449 + 203\/58*16\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**7*t*t))**(-2\/75)\/((t*(t**(-10)*t)\/t)\/(t*t\/t**4*t*t*t)))**(-20\/11) assuming t is positive.\nAnswer: t**(-592\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 13*o + 33. Calculate u(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, 1, 0, -5 in descending order.\nAnswer: 133, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 790351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 7. Let k be 420\/80 + 6\/8. What is m(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, 7, -294 in ascending order.\nAnswer: -294, -112, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 4*g**2 - 4*g + 3. Let l be -1 + -3 + 5 - -1. Let y be n(l). Sort y, 2, 4.\nAnswer: 2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1335531 + -1335513. Let f = 0.31 + -0.01. What is the biggest value in f, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 5*q + 23, 3*q + m + 929 = 924 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45174.2 - -45174. Let q = 11 + -8. Let x = q + -3.05. What is the third smallest value in -2\/3, x, m, 3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-17 + 0)) + -18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 8*y**2 + 14*y - 123. Calculate c(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + 107 + 45 = -o, -3*o = 4*q - 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*q + 328 + 112, 5*d - 540 = -5*q. Suppose z + 3*r = 2*z - q, 0 = -2*z - r + 204. What are the prime factors of z?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + k - 2. Let x be h(2). Suppose 0 = x*d - 19 - 5. What is the remainder when 29 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/88 and -1\/1988.\nAnswer: 43736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 0.037, -1\/4?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325703272?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/7751 and 27\/1505716?\nAnswer: 34631468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-118)\/(-3) + (-32)\/6 + 5 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 8*r**2 - 18*r + 24. Let j be o(-10). Suppose -3*x - 5*v = 20, 0 = j*v - 1 + 17. What is the units digit of x - 0 - (-3 - 288)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -0.11838.\nAnswer: -0.41838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2354 and 214?\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -162?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 29*d**2 + 2*d. Let a(o) be the third derivative of 17*o**4\/24 - 2*o**2 - 204. Calculate a(v(x)).\nAnswer: 493*x**2 + 34*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-2 + 1 - (1 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 + -1. Let h(t) = 3*t**2 - 10*t - 111. Let y be h(8). What is the closest to 0 in z, -3, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106533 - 11079325\/104. Let u = 17\/627 - -14\/57. Calculate the common denominator of c and u.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3 (b) 1 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3905874279.\nAnswer: 3, 263, 1650137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82771068.9999924 - 82771026. Let k = -43 + b. Round k to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4324689 millilitres in litres?\nAnswer: 0.0004324689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-6))\/((-9)\/(-6)*9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**2 - 2 - r**3 - r + 5 + 2 + 3*r**2 to the form g*r + q*r**3 + i*r**2 + p and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8506 - -8940. Calculate the lowest common multiple of 682 and y.\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -274381 + 417144. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 4*k - 2*z, -4*k - 2*z = 2*z + 84. Let b(f) = 2*f**2 + 15*f - 56. Let v be b(-16). Let x = -224 + v. Is k <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 234789 - 234783. Let t(o) = o + 8. Let x be t(0). Let q = x + -3. Sort q, g, 4 in increasing order.\nAnswer: 4, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-5)*f*f**(-1\/4))\/(f**(-1\/8)*f**(-1))*(f**4*(f*f*f**(2\/33)*f)\/f*f*f)**(-47) assuming f is positive.\nAnswer: f**(-100577\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 9 + 13 = 1892*t - 1894*t, -5*b = -11*t + 41 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o = -12. Let l = -0.05 - 0.05. Let t = 14\/13 - 96\/65. Which is the closest to t? (a) o (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2 - 253\/22. Let q be (5\/(-10) + 0)*y*1. Sort -3, 1, -4, q in decreasing order.\nAnswer: q, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*g = -29 + 337, -2*a + 625 = g. Calculate the highest common factor of a and 1144.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*r - 85*r - 6*r)*(-4 + 4 + 3*r) + (-2 + 2 - 2*r)*(-r - 4*r + 3*r + (-3*r - 4 + 4)*(-1 - 3 + 2)).\nAnswer: -191*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -238 + 223 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*z**2 - 327*z**2 - 150*z**2 - 917*z**2.\nAnswer: -1201*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-27))\/(2\/4). Let y = -7 + 2. What is the third smallest value in -4, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 5:31 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 5*l**2 - 54*l - 243. Let s be y(-8). Which is the fifth smallest value? (a) 0 (b) s (c) 2 (d) 18 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2. Let s(c) be the third derivative of -1229*c**5\/60 - 10*c**2 - 15*c. Give t(s(b)).\nAnswer: -4531323*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -28*d + 146. Calculate n(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1088215 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1046*j - 2. Let d be o(-7). Let m = 43805\/6 + d. Find the common denominator of 1977\/(-210) - 2\/7 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1900 - -2351. List the prime factors of x.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v + 8*v + v**2 - 6*v)*(-4 + 2 + 4)*(0 - 5 + 4)*(-2 + 2 + 3) in the form x*v + r*v**2 + c and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27, 58, 109, 180?\n\"Answer: 10*o**2 + o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/4 - 17*n\/4 - 13 = 0.\nAnswer: -13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -11\/4*w**4 - 35\/2*w**2 + 34\/3*w**3 + 12*w - 51. Determine j so that f(j) = 0.\nAnswer: 1, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m + 10. Let f = -229 + 223. Let y be (3\/f)\/((-6)\/(-48)). Sort y, 4, m in descending order.\nAnswer: m, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, 0.009, 0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2159*j - 2155*j + 24 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-44)\/(-154) - (-11670)\/21?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (35\/7)\/(2\/2). Suppose -r = b + 14. Let y = -8 - b. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) -21 (d) -1\/5 (e) 79 (f) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0385106899 to 6 dps.\nAnswer: -0.038511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16066, 16078, 16084, 16078, 16054, 16006?\nAnswer: 15928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - (-3 + 4 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1263946845?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 2:57 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/10 + (-6)\/(-30). Suppose x = -o + 3*n + 18, n - 76 = -5*o + 94. What is the smallest common multiple of 30 and o?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 227*s + 226*s = -3, m = 4*s + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3 - 17 + 10 - 10*w + 6 - 5*w. Let h(n) = 45*n + 13. What is 2*h(m) + 7*o(m)?\nAnswer: -15*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Suppose 12 = -v + y*v. Let i be v\/18 - 21324\/(-27). What is i rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5633, 24782, 56705, 101408, 158897?\nAnswer: 229178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.5 - 34.47. What is d rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 1:37 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - u - 29. Determine i(12).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.75876 + -1.75876. Let u(h) = 2*h - 9. Let o be u(6). Which is the closest to l? (a) o (b) 1\/9 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 3*a, -o + 2*a = -286 + 271 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 9 + 110 + 8*f - 6*f + 3 to a*f + w and give w.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 3. Suppose 7912 = 47*q - 1535. Let z = 205 - q. Let s(x) = x - 7. Give z*s(n) + 9*v(n).\nAnswer: -5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 207 and 24.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1445138912 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*s**2 - 13*s**3 + 46 + 2*s - 20 - 26 + s**4 to f*s**4 + y*s**2 + r*s**3 + n + k*s and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 183*(104\/60)\/(1\/25). What are the prime factors of (2\/(-5))\/((-13)\/t)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2. Let m(t) = -t**2 + 17*t - 4. Let z be m(16). Let d be -1*z*(-4)\/4. Let j(v) = v - 12 + d. Determine j(i(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2038089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 849391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -42090 times 2?\nAnswer: -84180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*u = -291 + 330, -30 = 3*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310 - k**2 + 0*k**2 + 1915*k - 1750*k - 4*k**2 = 0.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0036740066 to 6 dps.\nAnswer: 0.003674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.54879 to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)\/(sqrt(7)*4))\/((3*sqrt(27))\/sqrt(3)))**2.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9138.619l?\nAnswer: 9138619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (5 - 6) - (8 - (33 + -11))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 62.55407mg?\nAnswer: 0.00006255407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 872, 2325, 4692, 8165, 12936?\nAnswer: 19197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-15)\/(-1125) - 21\/30\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (20 - 11) - (5 - 22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 1:42 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/199, 0.2, -1\/2 in decreasing order.\nAnswer: 0.2, -2\/199, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q. Let r(u) = 41*u**2. Give b(r(w)).\nAnswer: -246*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 36 = -b + 5*b, -8 = -4*b - 3*r. Let p(z) = -2*z + 10. Let v be p(4). Suppose 4 = 2*w + v. Solve b = t - 2*q + q, -t - q = w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 3*p**4 - 10*p**3\/3 + 7. Find the third derivative of r(o) wrt o.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.55, -8, -2\/25?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2179*s + 2694*s + 1297*s + 1406*s to p*s + j and give p.\nAnswer: 7576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 279278 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q + 25838 = -4*z, 6464 = -z + 4*q. Round z to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3230 + -3200. Solve 35 = -p + y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -214*u**2 - 351*u**2 + 166*u**2 - 210*u**2 in the form s*u**2 + y*u + i and give s.\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + c + 28 = -4*n, 4*c - 14 = n. Let g = 31 - 43. Let l = n - g. Is 6 != l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8855 - 0.7855. Is s greater than -57\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688178 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 4761?\nAnswer: 4763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*k - 1259 = 172 + 2393 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 425080\/70 + 8\/(-14). Suppose -42*u = -19*u - p. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -33*q**2. Let b(a) = -72*a**2 - 18*a + 54. Let c(p) = -43*p**2 - 11*p + 33. Let v(i) = -11*b(i) + 18*c(i). Determine v(o(x)).\nAnswer: 19602*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -15*k. Let x(y) = 12*y**2. Calculate x(t(w)).\nAnswer: 2700*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*d + 28750, 2*d - 11479 = -0*b - 5*b. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1885 = -8*q - 2*x, -3*x = 3*q - 1122. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16*(-10)\/160*-10. Solve 4*j + 3*p - p - h = 0, -2 = j + 5*p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -14*v**4 - 10*v**3 + 130*v**2 + 90*v - 36 = 0.\nAnswer: -3, -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vervxxrrreer. What is prob of picking 1 e and 1 r?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6925, 27492, 61785, 109816, 171597?\n\"Answer: 2*u**3 + 6851*u**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-408)\/56)\/(16884\/(-1764)).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 22*p + 34 to t + m*p and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*c = -46, -4 = 2*x - 176*c + 174*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-4)*(10 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -122, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.67933 to two decimal places.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + (3 - -4 - 5) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42607188 minus -0.057963?\nAnswer: -42607187.942037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 31 - 1. Let x = -6 - t. Which is greater: x or -2\/105?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3968, -7994, -12078, -16220, -20420?\n\"Answer: -29*h**2 - 3939*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 3:48 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -1\/24*s**4 + 0*s - 4*s**2 + 0*s**5 - 1\/168*s**8 + 0 + 0*s**6 + 0*s**7 + 0*s**3. What is the second derivative of t(r) wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -5*z + 3*b - b, -2*z = -b - 44. What is the greatest common factor of 16 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**3 + 38*o - 460. Let w(k) = -k**3 - k. Let h(v) = -l(v) - 2*w(v). Find the first derivative of h(r) wrt r.\nAnswer: -6*r**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 3*g + 30891 = -10*y, 5*y = -4*g + 51485. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-2\/9)))\/q*q*q*q*q**5*(q**(2\/5))**(-36))**(-11\/7) assuming q is positive.\nAnswer: q**(3553\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3561 - 3525. Calculate the highest common factor of 1332 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14 + 0\/11 - -14. Let w(n) be the first derivative of 3\/2*n**2 + o*n - 12. What is w(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12603 is divided by 155?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 12*k**2 + 13*k + 9. Let u(m) = -m**3 - 2*m**2 + 6*m - 9. Suppose 38*y - 33*y = -2*j + 24, 5*y = -j + 22. Let i be u(j). Determine w(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338253 and 411.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.875572 rounded to 3 dps?\nAnswer: -6.876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 347*b**4 - 8*b**3 - 9*b**2 - 8*b - 1730474 with respect to b.\nAnswer: 1388*b**3 - 24*b**2 - 18*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4\/8 + 12*n**3 + 927*n**2\/8 + 1437*n\/4 + 255 = 0.\nAnswer: -17, -10, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/125)\/(4\/(-20))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1513+80.833174\nAnswer: 80.681874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*s + 10. Which is the third biggest value? (a) -0.4 (b) 0.5 (c) -4\/3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 2. Let b be x(-6). Suppose p = -4*p + 40. Let a = b + p. Solve a*g - 19 + 3 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -992.1 - -991. What is the third smallest value in -0.2, x, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -107763641?\nAnswer: -107763636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 98 + 77 + 88 - 446*r - 255 in the form h + p*r and give p.\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2070*y + 86930. Give r(42).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*q**3 - 517*q wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586733 - 851875 = -86*u. List the prime factors of u.\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 6 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 214, 5, -2 in ascending order.\nAnswer: -2, 0, 3, 5, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3\/5, -1\/6, -1\/18, 0.22, 0.2 in decreasing order.\nAnswer: 6, 3\/5, 0.22, 0.2, -1\/18, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 2*o - 270 = 0. What is the highest common divisor of 243 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1586 or -1589?\nAnswer: -1589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (66\/2)\/3 + -5. Let h = 7 - 5. Suppose 3*q - 2*x - 56 = -x, 0 = 5*q - h*x - 94. Solve -4*k + g = -k, 5*m = -4*k + q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1567360?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 116*z**2 - 122*z - 590. Determine r(-117).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9*o - 356. Let d(y) = 5*y + 178. Let l(j) = 7*d(j) + 3*m(j). What is the remainder when l(0) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 3*r. Let l(a) = -10*a**3 + 14*a. Give 14*j(d) + 3*l(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.479727 times 0.4?\nAnswer: -0.1918908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 3*j**2 + 3*j + 2. Let r be a(-2). Let w = 209 - 205. Suppose 0 = -4*d + 5*c - 7, 0 = -2*d - 2*c + w + 6. Solve r*u = -d*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n. Let h(d) = -31*d + 9*d + 20*d. Determine a(h(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 6*l. Let q(t) = -t**2 - 6*t - 1. Let o(c) = -4*g(c) + 5*q(c). Determine o(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107442 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = x - 4*u - 54, 0 = -3*u - 3. Let y = x - -27. What is the remainder when y is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2 - 3*d - 3. Let w(b) = 4*b**2 - 2*b - 2. Let c(q) = -2*k(q) + 3*w(q). Let i(h) be the first derivative of -3*h**2\/2 + 2. Determine i(c(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 divided by 2?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + ((-4)\/(-4) - -5). Let c = -1.17 + 1.27. What is the second biggest value in -2\/7, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -31210032?\nAnswer: 31210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, j: 2, c: 7, i: 4, v: 1, x: 3}. Give prob of sequence ijv.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46, -176, -394, -700, -1094, -1576?\n\"Answer: -44*t**2 + 2*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 2*l - 1, 11334*l - 11332*l + j = 13 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -1.1 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -30. Let n = -4 - f. Which is the nearest to -20? (a) -1 (b) -0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -906580*x - 206590?\nAnswer: -906580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*j + 9, -m + 18 + 11 = -5*j. Suppose 6 = 3*v - 0*v. Let o(r) = 5*r**2 + 6*r + m - 6*r**v + 3*r**2 + 3. Let g(h) = h + 1. Give 6*g(i) - o(i).\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.001 in 4, 0.511, -2, 4\/3?\nAnswer: 0.511","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 5*t**2 + t - 5. Let y be q(4). Solve 0 = -4*n + n + y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.12966 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/((-1)\/(-18)). Suppose 0*z = -m*z. Suppose 4*v - 1 = t, z*t - 91 = -4*t - 3*v. What is the remainder when t is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 5. Let s be z(-7). Suppose 26 = c + s. Suppose -5*g + c = -v - v, 2*g = 4*v. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 29. Let k = -15 - q. Solve 2 = -b - k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19995 = 161*u - 806*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1655 less than 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1257.9 - 1207. Let o = g + -50.8. Which is the nearest to o? (a) -1 (b) -121 (c) 0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50652762 by -16884254.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 2*v + 9. Let c be y(-9). Let d = 75 - c. Let j be (d\/65)\/(2\/(-55)). What is the highest common factor of j and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*z = 111823, 149060 = 4*r - 57*z + 61*z. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine halves of a century?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 65854.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from nunynuggggnuuggynqqg?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 38 = -1503*b + 1506*b, 9*b - 3*p + 39 = 6*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 7*j - j - 1 - 2*j + 1 + 3 - 3 - 2*j + (1 + 2*j - 1)*(-3 - 3 + 8) + 3*j - 4*j + 2*j + 4*j + 0*j - 3*j + 2*j + 2*j - 6*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 w, and 1 a when four letters picked without replacement from {g: 9, a: 4, c: 1, w: 2}.\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2188*k + 2 - 81 - 1771*k + 351 wrt k.\nAnswer: 417","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**4\/4 + 4*a**3\/3 + 5*a**2\/2 + 4*a - 2. Let j be u(5). Suppose -5 + 21 = j*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -979183, -979173, -979161, -979147, -979131, -979113?\n\"Answer: w**2 + 7*w - 979191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 + 4*x**3 - 15*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 607 + 608 - 1213 + 17*v**4 - 3*v**3 as k*v**4 + n*v**3 + s + a*v**2 + u*v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1187*s. Let a(i) = -130*i**2 - 56. Let p(r) = 14*r**2 + 6. Let u(k) = 3*a(k) + 28*p(k). Calculate u(m(g)).\nAnswer: 2817938*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4556\/510)\/67*5*(-15)\/12.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13530650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + l - 14 = -6, 0 = 3*w + 5*l + 25. Let x be -2 - (-2)\/((-2)\/w). Let k = 371 - 368. Solve 0 = k*v + v - 3*q + 21, -3*v + x = 4*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1160385670 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 176\/104 - -14*(-8)\/56?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21500 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 1. Let p be n(-4). Let l be (-2 - 1)*(-14)\/21. Find y such that -4*y**4 + 3*y**2 + 2*y**4 - 4*y + p*y**l + 0*y**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**8\/56 + t**4\/3 - 6*t - 3. Let a(g) be the first derivative of c(g). What is the third derivative of a(x) wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/15 (b) 0.2 (c) -159\/4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 15*n**2 + n. Let g(o) = -6*o. What is g(s(z))?\nAnswer: -90*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = 2*q. Suppose q*z - 48 = -3*z. Let -4*u**4 + 2*u**4 + 4*u**3 + 32*u**2 - 7 - z*u - 1 - 26*u**2 = 0. What is u?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-20)*(-377)\/(-58)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72026401 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 12:55 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - -36. Let h = o - 40. Solve -t + 3*z = 0, -2*z = -h*z - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7498 is divided by 3648.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/45 - (-2)\/5. Let x = 13.5 - 1.5. Let o = x + -8. What is the second biggest value in c, 0.2, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -257, -260, -267?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/22? (a) 0 (b) -21\/5 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 22*m**2 - 16*m + 100. Calculate the remainder when z(21) is divided by 71.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745436871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138 - 136. Suppose w*j - 74 + 68 = 0. Solve 0 = -j*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p = -30*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90228331 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-153)\/5032)\/((-4689)\/4168).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -91*g + 1369. Determine l(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-4 - -2)) + (-11 - -21) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + 20*(-39)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, k: 3}. What is prob of picking 3 i and 1 k?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 37 = -32*p + 333 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -5. Suppose -5*k = -4*x - 21 + 9, 68 = 5*k + 4*x. Solve 23 = d*v + k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 76*p + 0*p**2 - 454 - 75*p.\nAnswer: 3*p**2 + p - 454","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 216*t**3 + 408*t**2 - 58*t - 20 = 0?\nAnswer: -2, -1\/6, 5\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126617*x**2 - 62305*x**2 - 59879*x**2 to a*x**2 + p + w*x and give a.\nAnswer: 4433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 36*o + 11. Determine l(-36).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**8\/10080 + w**5\/30 + 3*w**2. Let c(y) be the third derivative of n(y). Let u(q) = 3*q**2. Give u(c(g)).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**4\/4 - 8*q**3 - 23*q**2\/2 - 40*q + 59. Calculate the remainder when o(25) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7603, 7831, 8059, 8287?\nAnswer: 8515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 111.341 - 110.3. Let z = i + -0.041. Which is the closest to 0? (a) 0.2 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -812*s = -808*s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -28, 1575, 3, -18, 0, 1.\nAnswer: -28, -18, 0, 1, 3, 4, 1575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4333326 (base 9) in base 14?\nAnswer: -44746c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)*2 + sqrt(45))\/sqrt(9) + sqrt(5) + sqrt(10)\/(1*sqrt(2)) - -1*sqrt(30)\/(sqrt(24)\/sqrt(4)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 - 30*j**3 + 135*j**2 - 20*j - 180.\nAnswer: -5*(j - 2)**2*(j + 1)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/40 and -75\/108784?\nAnswer: 543920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-1\/32)*o**16*o assuming o is positive.\nAnswer: o**(575\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -54. Suppose -t = a*t - 253. Let c = 529 + -368. What is the highest common divisor of t and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 120 = -2*b, -92 + 158 = 2*w - 2*b. Solve -2*l - 6 = -x, 28*l + 13 = -2*x + w*l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-13) - 1\/((-91)\/53). Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 2*a**2 - 4. Let k be i(3). Suppose k*q + 0*q = 55. Let n be (-9899998)\/(-11) - (-2)\/q. What is n rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.5 (c) -4\/23 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -110*z**2 - 234?\nAnswer: -220*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/31 and ((-3)\/20)\/(8*(-4)\/(-2000)).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63778 to the power of 1\/2, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 2)*(-6 - 6 + 4)*(3 - 3 - 1)*(20 + 28*m - 20) to l*m + p and give l.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Suppose -i*j + 62 = 2*j + 3*v, -2*v + 13 = j. What is the remainder when 48 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24831 by -2776.\nAnswer: -24831\/2776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6 less than 1.42844983?\nAnswer: -2.17155017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -57894.\nAnswer: 7\/57894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 631 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 + 287*v**4 - 128*v**4 - 136*v**4 + v**4 + v**4 - 3*v**4 + (-4 + v + 4)*(-2*v**3 + 2*v - 2*v) + v**4 - 2*v**4 + 0*v**4 + 0*v**3 + 0*v**3 - v**4.\nAnswer: 18*v**4 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -194.69?\nAnswer: -778.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70371)\/(-31276))\/((30\/8)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 178126414.9 to the nearest one hundred thousand.\nAnswer: 178100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 78.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:13 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10702303 - -21?\nAnswer: 10702324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from lsnnlillsnnlislinnl.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*s**2 - 5*s**4 + 14*s**4 - 15*s**2 wrt s.\nAnswer: 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 364 = -4*w, -2*w - 273 = -5*w - 4*p. Suppose -3*f + 14 = -w. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 26 = 20*o - 4*q, -6 = -o - 4*q + 1 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/51 (b) 4\/93 (c) -0.317\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*b + 120*b - 266*b)*(-4 + 321*b - 409*b + 1).\nAnswer: 3608*b**2 + 123*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1737 = -433. Suppose -8*j + b = -3*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73332 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 90265?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8222101297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 12 + n**2 + n in the form h*n**2 + v*n + g and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7969 - 7967. Factor -2*p**r - 19\/2*p + 5\/2.\nAnswer: -(p + 5)*(4*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 0.1, 2\/31, 5, -4\/7, -4?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 + 111*j + 127*j - 59*j + 46 as h*j + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -1)\/((-3)\/(-33)). Suppose o*p = 9*p. Suppose 4*c + 8 = 0, p*q - 2*c + 5 = -3*q. Put q, 3, 5 in ascending order.\nAnswer: q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 2*x**2 - 2 - 37*x.\nAnswer: -2*x**2 - 37*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 733823383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvz when three letters picked without replacement from zvvzz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 4, z: 3, x: 9, u: 2}. What is prob of sequence xuo?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-81)\/(-18)*(-56)\/(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*32\/(-200)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 421\/6. What is the nearest to n in -1\/2, 4, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-10) - (-71)\/10*52. Suppose 0 = h + 3*h + 5*p - 447, 0 = -3*h + 3*p + s. List the prime factors of h + -2 + (1 - -3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43285834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 199667000 to the nearest 100000.\nAnswer: 199700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 33. Suppose 2*j - d = -0. Do 9 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/48 and 49\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -18*y - 27. Let g be x(-6). Let c = -17 + g. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 1964764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*y = v - 689975, -4*v + 4*y = -2760020. Round v to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + m)*(2*m**2 - 6*m**2 - m**2)*(-2*m**2 + 2*m**2 - m**2).\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, b: 1, v: 1, w: 1, o: 8, g: 2}. What is prob of sequence vw?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**9)\/c)**4 assuming c is positive.\nAnswer: c**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3300 = -6*j. Suppose -12*d + d + j = 0. Factor 6*b**4 - 5 - d*b**2 + 3*b**3 - 21*b - 1 + 42*b**2.\nAnswer: 3*(b - 2)*(b + 1)**2*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132\/145 or -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 618 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -475 + 477.77. Let a = -2.77497 + v. Round a to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/5)\/(152\/1900). Let v be -5*(1\/1 - 2). Let j(u) = -u**3 + 5*u**2 + 3*u + 7. Let s be j(v). Solve -3*d - 5*l = s, w*l + 9 = -1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5859 - 1462. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4151)\/35 - 2\/5. Let h be 52\/(-14) + (-4)\/14. Let q be p\/(-14) + (-6)\/h. Solve 3*i = -d - 20, -3*i + 2*d - q = d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 0, -3*j - 4*d + 18 = -2*j. Suppose -3*s = -3*t + j, -5*t - 5*s = 8 + 2. Solve -14 = -r - 4*a, t*a - 9 - 9 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 45*o**2 - 41*o + 14. Determine a(44).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v - 4*v + (5 - 2*v - 5)*(-1 - 5 + 4) - 3*v + v + 3*v + 1 - 1 - v)*(19*v - 20*v - 27*v).\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1833\/(-621) - (-3352)\/19274) + 3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 13. Calculate the remainder when 13 is divided by p(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o - b = 30*o + 4, 2*o = 2*b + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -88625 divided by 5?\nAnswer: -17725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25431 and 64356.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1757362 - 1757349. Let -40\/3*s + 53\/2*s**2 - 1\/6*s**4 + 0 - b*s**3 = 0. Calculate s.\nAnswer: -80, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2*j = 7, -q + 4*j + 15 = 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 17, 4\/7, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3))\/(j\/j**(-2\/3))*j**6\/(j*j\/(j\/j**(-14))*j) assuming j is positive.\nAnswer: j**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13*(-3)\/(-3) - -2. Let x = -9 - h. Is x != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 4*n + 3*n**3)*(0*n + 0*n + 2*n)*(4 + 3 - 11).\nAnswer: -24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -37, 63, 255, 569?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 1060742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152895801 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4600227 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1 - 2*p - 5*p - 2*p. Let m be h(3). Let d = 44 + m. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304240 and 4840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 35761*k - 893. Is x(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/6*-1*764\/2101.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((-20)\/(-12))*(-10)\/(-15). List the prime factors of o + (-13)\/(-3)*51.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/370620 and -119\/324.\nAnswer: 3335580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {z: 1, u: 1, v: 1, h: 5, k: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.3. Which is smaller: -11 or s?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 divided by -1?\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/6)\/((-732)\/(-9) + -6). What is the closest to 0.1 in v, -6\/7, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6254.032996 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -6*v**3\/5 + 288*v\/5 - 768\/5 = 0.\nAnswer: -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069\/985 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + 554*w**3 + 220*w**3 + 7*w.\nAnswer: 774*w**3 + 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -69. Suppose 5*r - k = i, -i = -2*i. Solve 5*y + 4*v = 5, -r*y + v - 30 = -2*v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -14*a. Suppose -11 = 4*c - 3. Is 14 a factor of n(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95880.84l?\nAnswer: 95880840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**6\/960 + 57*q**5\/160 - 3249*q**4\/64 + 61731*q**3\/16 + 4*q**2 + 22*q. Factor p(t).\nAnswer: -(t - 57)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24058, 23803, 23548, 23293, 23038?\nAnswer: 22783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -5\/1742568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 423*b**4 + b**2 - 46?\nAnswer: 10152*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 1:58 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + -1 + 2 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 948012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 499.23*4\nAnswer: 1996.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*1)**2*-2 + (4 + 3*sqrt(252))**2 - (sqrt(252) + (1*2*sqrt(252))**2 + 4)*2) + 3.\nAnswer: -241 + 132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50545 * -0.3.\nAnswer: 15163.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i - 6 = 3*z, -3*z - 5 = -4*i. Let l be 3 - (z - -3)\/(-2). What is the third derivative of -m**2 - 2*m**2 - l*m**2 + 2*m**2 + 4*m**5 wrt m?\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -846.\nAnswer: -844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864.778 millennia in centuries?\nAnswer: 18647.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 7*k = 36*k - 285312. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1783 + 9*l**3 - 10*l**3 + 4*l**3 - 13.\nAnswer: 3*l**3 + 1770","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -16*k - 266. Let f be a(-17). Let u be 3*(-8)\/f + 5 + 19. Calculate the highest common factor of u and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -98283b - 4?\nAnswer: -982840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 372824 at most as big as 372826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - -4) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68486 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 160.6736 and 2.\nAnswer: 321.3472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3 + 8 = 0. Let q = z + -3. Put 2, q, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 73 + 8 = 3*n, -4*n - 3*y + 113 = 0. Calculate the greatest common factor of 1184 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 951779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14045\/1144 - -14\/143. Which is the fifth biggest value? (a) 5 (b) 3 (c) n (d) -1\/2 (e) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 49?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -243041294.\nAnswer: -243041294.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -823 (base 9) to base 8\nAnswer: -1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*h - 4*r + 1909980, -3*h + 5*r - 2864975 = 0. Round h to the nearest 10000.\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19529233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 298\/5 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 3700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0 = 2*a - 3, -a + 3*g + 3 = 0. Suppose -3*o + o - 14 = a. List the prime factors of 28 - (1 + 3 + o).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {f: 4, c: 2, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/168480 and -157\/50400.\nAnswer: 5896800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559666 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35\/87 + -2\/29. Let t(i) be the second derivative of i + 0 + 1\/6*i**4 - 2*i**2 + h*i**3. Factor t(o).\nAnswer: 2*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - ((-3)\/(-3) - 1). Suppose 0 = q*p - 5 - 3. Suppose -156 = -2*m + p*l, -m + 2*m = -5*l + 72. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -4, -6\/119?\nAnswer: -6\/119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-6)\/(-12)*24\/(-15). Let c = -26 + 58. Suppose 2*x + 5 = 2*w + 3*w, 0 = 4*w + 4*x - c. Solve 35 = -5*t + 4*z, w*t = -o*z + 2 + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304476.5 months in years?\nAnswer: 108706.375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 5*f**2 - 36*f + 15. Is 13 a factor of s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5288826685 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -201 from 17.2.\nAnswer: 218.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhhd when four letters picked without replacement from mhgmddhtyyymdygt.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 176 - 160. Let j = -20 + d. What is the fourth biggest value in 2, -0.5, j, 27?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3377270 is divided by 420.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -810623\/334 + 2427. Let g = k + 349\/1002. Factor 0 + g*s**3 + 1\/6*s**2 + 0*s.\nAnswer: s**2*(2*s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 17*f - 271. Give j(-17).\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 59.99322 minutes?\nAnswer: 0.999887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -132, -534, -1204, -2142, -3348, -4822, -6564?\n\"Answer: -134*h**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -30. Let q be n\/(-4) - (3 - -1). Suppose 0 = q*i + 3*k - 31, 4*i + 5*k - 27 - 32 = 0. What is the remainder when 30 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {g: 3, j: 15}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 51. What is the highest common divisor of b and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*w = -44*w + 2905 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-230 + 231 + 139*c**2 + 493*c**2)*(-3*c + 3*c + c + c**2)*(6 - 10 - 9) as o*c**3 + z + f*c**4 + r*c + v*c**2 and give f.\nAnswer: -8216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 - 10*g**3 - 3 + 12 - 11*g**2 + 2*g. Let w be z(-4). Let c = 1008 - w. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/499786 and 13\/638.\nAnswer: 5497646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -427581*y**2 + 1127718 wrt y?\nAnswer: -855162*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 62*u + 232. What is k(28)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.5 (c) 37 (d) -2\/7 (e) -827\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2 - 5*c**2 - 3*c + c**2 + 2*c + 3*c**2 + c**3. Let w be x(2). Suppose w = -5*n - 0*n + 40. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 678 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247792.\nAnswer: 2, 17, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 541212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 1:51 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 21. Suppose 0 = -b + 1, -3*i = -4*b + 2*b + 2. Calculate the lowest common multiple of 12 and m(i).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a microgram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/4 - 75*u**3\/4 + 162*u**2 - 332*u.\nAnswer: -u*(u - 4)**2*(u + 83)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n - 40 = -208. Let d(j) = -8*j + 5. Let a(b) = -8*b + 1 + 0*b + 2*b + 5*b. Give n*a(x) + d(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**(-17\/4)\/(m*m**(-2\/7))**(-1\/8))**(-7\/2) assuming m is positive.\nAnswer: m**(-501\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -20. Suppose 23*g = 21*g + 24. Let y = l - g. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*i - 5*r + 5, -i + 12 = -2*r. Suppose 3*f = 2*f + i. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2536869297?\nAnswer: 3, 103, 8209933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -15\/632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018756 to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(sqrt(66) + (1*sqrt(66)*2 + sqrt(66) - sqrt(66)) - sqrt(66)))\/(sqrt(1944) - (sqrt(1944) - 1*sqrt(1944))).\nAnswer: 8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -141+55770\nAnswer: 55629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**4 - 501*s**3 + 9*s**2 + 1509*s + 1002 = 0.\nAnswer: -167, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 12:17 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**5\/6 - 55*m**4\/12 - m**3\/3 - 2*m**2 + 2*m. Find the second derivative of o(y) wrt y.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(52) + -1).\nAnswer: -12*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c14b + -2?\nAnswer: 4c149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7109929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 726\/7*c**2 - 624\/7*c - 15*c**3 + 0 + 3\/7*c**4.\nAnswer: 3*c*(c - 26)*(c - 8)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-42)\/147 - ((-3)\/(-42)*-4662956 + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 7*f + 8. Let c be i(-6). What is the first derivative of 2*o**3 + c*o**3 + 1 + 2 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*s - 2*u, -4*s + 0*u - 5*u = 8. Let c be (-42)\/(-4)*(-1)\/s*8. Let r = c + 52. What is the greatest common divisor of 16 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1043173, 2086344, 3129515?\nAnswer: 4172686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 982*c + 11935. Determine r(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtbbbvbbbvvbbt. What is prob of picking 2 b?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1216)*1 + sqrt(1216)) + -4)**2 - ((0 + sqrt(1216) + sqrt(1216) + sqrt(1216))**2 - sqrt(19) - (0 + (sqrt(19) - -1*sqrt(19)))).\nAnswer: -6064 - 125*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 12*g**2 - g + 11. Let h be k(12). Let f(x) = -x - 3. Let c be f(-3). Is h at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - 4 - 3\/(-1). Let u be 12\/x*(-20)\/6. Suppose -u*a = r - 48, -4*a + 5*r = -5*a. What is the remainder when a is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 8:20 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5 + 8522*i**4 - 51210*i**3 - 25570*i**2 + 136568*i + 102408 = 0 for i.\nAnswer: -4267, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -19*u + 12. Suppose -s - 2*w = -u*s + 512, 0 = 3*s - w - 760. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 - 12 = -58*o. Solve -78*s + 81*s - o*n = 0, 16 = s - 5*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1061206526, 1061206528, 1061206530, 1061206532, 1061206534, 1061206536?\n\"Answer: 2*t + 1061206524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**3 - 4*o + o + o**2 - 444 - 10*o**3 + 25*o**3 + 459 to p*o + c + d*o**2 + i*o**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 8*b**2 + 10*b + 30. Let v be y(9). Find the second derivative of -v*g**2 - 31*g - 7*g**2 - 24*g**2 wrt g.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 206838.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1222102201 (base 3) to base 13\nAnswer: -14965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 74. Let a(t) = 39*t. Determine a(f(j)).\nAnswer: 39*j - 2886","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-344)\/116 - (-21 + 270\/15)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-17 - 14) - 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 58*z**2 - 1240*z - 17. What is a(21)?\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 31*n - 2*n)*(0 - 3 + 0) + (1 - 1 + n)*(2 - 10 + 22) to h*n + d and give h.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69198 - -0.3.\nAnswer: -69197.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/1251, 4\/9, 1\/2?\nAnswer: -2\/1251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 4 = 4*g, 4*o + 3*g - 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 5*r + 8 = 0, -k - 5*r - 13 = k. Solve -k = 5*l - 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-70)*224\/(-64).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 642*a + 127138 = 664*a. What are the prime factors of a?\nAnswer: 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29aa8 (base 11) to base 9\nAnswer: -64371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2005 - -34.7995. Put -0.3, b, -2, 0.3 in decreasing order.\nAnswer: b, 0.3, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0626 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, g: 7, j: 4, m: 1}. What is prob of sequence mmem?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 + 410. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(30)\/(sqrt(110)\/sqrt(11)) - sqrt(3))*6 - (((sqrt(147)*-3 - sqrt(147)) + -5 - sqrt(147))*5)**2)*-4.\nAnswer: 35000*sqrt(3) + 369992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + q**2 + q - 1. Let d = -1398 + 733. Let r = 666 + d. Give x(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.5981g in tonnes?\nAnswer: 0.0005765981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -755, -0.4, 1\/5 in descending order.\nAnswer: 4, 1\/5, -0.4, -755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2195*c - 1243*c = 1406*c + 14763 + 25643 for c.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010145214 rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13.563 and -18716244?\nAnswer: 18716230.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = d - 5*m, m + 2 - 1 = 0. Let i = d + -85. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 7*m - 2*m. Let t(o) = o**3 - 10*o**2 - 12*o - 2. Let u be t(11). Let w = u + 28. Calculate the greatest common factor of w and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 2, p: 3, v: 4}. What is prob of picking 2 v?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 7 = 3*f, 0 = -2*f + 2*r + 8. Suppose 3*m + f = 0, -4*o = -5*m - 0*m - 411. Calculate the greatest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + 1113. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -61517*t**3 + 2 - 11*t - 6 + 61518*t**3 + 10*t**2. What is x(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1.398?\nAnswer: -2.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*t - 7775 - 1047 = -1035 + 628 for t.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + -21.7. Let f = 22.2 + s. Which is the second smallest value? (a) f (b) -5 (c) 3\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - 120202?\nAnswer: -121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 6*h**2 + 15*h. Let r be q(-8). Calculate the greatest common divisor of r and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62.161 - 62. Let l = 9295 - 9302.061. Let v = h + l. What is v rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19*(-26)\/9)\/((-1029)\/882). Let c = g - -142\/3. What is the biggest value in c, -4, 1.62?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34280*q**3 + 34276*q**3 - 68542*q**3.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13865109801\/944 + -14687620. Let y = a - -22\/59. Let p = 914 - 3603\/4. What is the common denominator of p and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -42629, 0.2, -0.4, -3, -5, -0.1, -36?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 18788640*u**3 + 0 + 0.\nAnswer: -18788640*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.505 and -0.3.\nAnswer: 0.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178 (base 13) to base 7.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*h - 58*h + 13*h - 4 - 18*h)*(-2 - 40 - 1).\nAnswer: 3827*h + 172","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 205\/(-9) + 368\/207?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*k + 3*k. Let s = 7 - 15. Let l = k + s. Solve 2 = -w + p, -3 = 3*w + p + l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1270, -2533, -3794, -5053, -6310, -7565, -8818?\n\"Answer: z**2 - 1266*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67534 = -1150*m - 1984 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14183 + -12923. Calculate the greatest common factor of q and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -77*u**6\/30 + 76*u**3\/3 - 25*u. Find the second derivative of s(c) wrt c.\nAnswer: -924*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/882*3*12\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 1. Suppose 21*o + 16*o = 111. Solve o*p - j = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/((-6)\/(-2)) - 2. Let m = f + -16. Let s(u) = -3*u**2 - 6*u. Let v(x) = 2*x**2 + 5*x. Let c(n) = m*v(n) - 5*s(n). Determine p, given that c(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3780739 < -3780739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72119648 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 641226 (base 8) to base 11\nAnswer: 136581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.5 - -19. Let n = -6.077 - -0.077. Let p = n - f. What is the third smallest value in 0.2, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*q**4 - 27433840*q**3 + 959976686608*q**2 - 548551388160*q + 78364164096 = 0. What is q?\nAnswer: 2\/7, 69984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) -3 (c) -0.4 (d) 18648\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*c + 38 = 5*j + 66*c, -2*c - 24 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 (base 10) in base 8?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2621 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74842 is divided by 1116.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((11\/(-4))\/(-11)). Let y = 4773 - 66897\/14. Calculate the common denominator of y and 206\/72 + z\/(-6).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from jrrjjrjrijjij?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 2. Let x be j(-6). Suppose 2*t - 42 = 2*w, -w - 6 + 1 = 0. Suppose p - 5*y + 22 = 0, x*y + 0 + t = -4*p. Which is smaller: p or -19\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {v: 10, d: 9}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -54680\/3, 7\/4 in ascending order.\nAnswer: -54680\/3, 2\/11, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/21 and (-756)\/10665*(-2 + (-22)\/(-6)).\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 23. Let g = -8 - d. What is the smallest value in g, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 6. Let t be a(5). Let o(q) = -31*q - 3. Let f(n) = -69*n - 7. Let p(j) = -4*f(j) + 9*o(j). Give p(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c63 + -4?\nAnswer: 2c5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222838 is divided by 7708?\nAnswer: 7014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, 58, 178, 388, 718?\n\"Answer: 5*b**3 + 25*b - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 503042 (base 6) in base 2?\nAnswer: 1001101010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5*x - 130 = 0. What is the remainder when 108 is divided by x - (9 - 3)*6\/9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 19*t + 527. List the prime factors of k(38).\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -139273 greater than or equal to -139162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 18*s + 1. Let w be k(17). Let y = w + 50. Let a be (y\/(-3))\/((-16)\/24). Which is smaller: a or 18?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 0, m + 2*b + 172 = 2*m. Let u = 192 - m. What is the lowest common multiple of u and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 32318616 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 421*w**2 - 64*w + 322. What is the units digit of f(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65584 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 20 = -2*c - 3*h, -3*c - 3*h = -12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 283\/2 + -140. What is the nearest to 0 in 5, r, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 5*q - 52. Let x be s(16). Let o = x + -122. Let a(g) = -2*g**3 + 3*g**2 - 3*g + 3. Calculate a(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n. Sort -3, n, -2 in decreasing order.\nAnswer: n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-1 - -6)) + 5 + 4 + -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*d = 215*d - 105*d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.39 + -0.4. Let i = u + 3.01. What is the closest to -0.1 in i, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -387 - -465. Suppose h*t = 66*t + 6240. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -181.6 + 175.6. Put s, 1, 3, -1 in descending order.\nAnswer: 3, 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (0 - 3)) + -2 - (-2 - 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 298, 438?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 at least as big as 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/20 - p**4\/3 + 5*p**3\/6 - p**2 - p. Suppose y(x) = 0. Calculate x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 + 69*v\/4 + 75\/2.\nAnswer: -3*(v - 25)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -423912, -847876, -1271938, -1696146, -2120548, -2545192?\n\"Answer: -8*c**3 - c**2 - 423905*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/7 (b) -22 (c) 1.6 (d) -79\/5 (e) -5\/39 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54800?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 179927*i**2 - 685545*i wrt i?\nAnswer: 359854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 1 = -11*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + (1 + sqrt(832) + sqrt(832) - sqrt(832)) + -2 + (4*-2*sqrt(832) - sqrt(832)))**2.\nAnswer: 112*sqrt(13) + 40769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/7 + 13723650*s**2\/7 - 3921042*s + 13723646\/7.\nAnswer: -2*(s - 6861823)*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148598446 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -70. Suppose -3*w - o = -5*w - 2*f, -4*w + 36 = -4*f. Calculate the remainder when 48 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + v - 3*v - 2*v.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -78, -72, -66, -60?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/40 and -53\/238.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-25)*(-26)\/((-936)\/180).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12324\/(-395))\/(-156)*535.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15) + (-12)\/(-20). Suppose z = v + l, -z + 3*z + 1 = 3*v. Calculate the common denominator of (4\/(-128))\/(z\/(-456)) and 67\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -23*a + 1. Let l(d) be the second derivative of 2*d**4 - 7134*d. Determine l(j(o)).\nAnswer: 12696*o**2 - 1104*o + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3221774259?\nAnswer: 3, 11, 2689, 36307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 - 9 = 0. Let g = 32 - h. Let x = -1 + g. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94550 times -0.1589\nAnswer: 15023.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186 + -1300\/7. Which is the nearest to x? (a) -3 (b) -0.1 (c) 0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*n - 3)*(11 - 11 + 7*n**2 + 2).\nAnswer: -14*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven fifths of a centimeter?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -42\/11 (b) -2\/3 (c) 3\/20 (d) -9 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m - 2. Is 2 a factor of l(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5396858 divided by 46.\nAnswer: 117323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 16 = -3*u, 7*u = 9*u + 2*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1985\/(-5) + 1\/(-3). Let j = -396 - t. What is the fourth smallest value in -3, 1, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = -4 - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22022201211221 - -11?\nAnswer: -22022201211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 2 - -4 - 0. Suppose -3*b + 0*b = -12. Suppose -3*s + 84 = o*n, -b*s + 93 = -0*s - n. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50\/50*(122 - 0) is divided by 105.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o. Let m(f) be the second derivative of f**4\/24 + 2*f**2 + f. Let c(t) be the first derivative of m(t). Give a(c(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 10. Let m be (-2 + 2)*(2 - 1). Solve -4*a + a + u = m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/40)\/(2\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 147041227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2375 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g. Let b = -4 - -5. Let s be f(b). What is the nearest to 0.1 in s, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-175)\/45 - -4)*(-12)\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/91 + 45\/130. Let b(p) be the third derivative of 0*p**4 + 0*p - 5*p**2 + 1\/15*p**5 + g*p**3 + 0. What is the derivative of b(s) wrt s?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0908677187 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.04 - -0.04. Let x be ((-9)\/(-69))\/(6\/4). Let k = -64 + 63.7. Which is the closest to x? (a) z (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 60 (b) 4\/9 (c) 2\/7 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1714.00539 rounded to one decimal place?\nAnswer: -1714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3805 - 1909. List the prime factors of p.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*40\/500)\/((-12)\/45)*30\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*b**5*h**2 + 41*b**5*h - 11*b*h**2 + 2*b*h + 5*b - 3 wrt b.\nAnswer: 400*b**3*h**2 + 820*b**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -3357074876 and 1.\nAnswer: -3357074875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -2*n**6 - 189*n**5\/5 - 411*n**4\/4 + 87*n**3 + 351*n**2\/2 + 8636. Let b(u) = 0. What is u?\nAnswer: -13, -3, -3\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676026*o - 6411 = 675881*o + 1274 for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/14 + 1770\/42. Suppose -3*q - 5 = 1, -2*h = 3*q - 90. Suppose 6*a + 5*b = 5*a + h, -5*a = 4*b - 219. Do c and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12111010 + 1?\nAnswer: -12111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 - 148*o**2 + 497357*o\/2 + 997050.\nAnswer: -(o - 575)*(o + 4)*(o + 867)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -387.3 - -387. Let v = 0.5 - 1. Let j = 4.5 + v. Sort -2, t, j.\nAnswer: -2, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -2494*3\/4239. Let m = -2\/157 + u. Which is bigger: -0.07 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*j - 24. Let q = 44 - j. Suppose -5*z = -2*z - 12. Calculate the highest common divisor of z and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + v - 2*v)*(-998 + 1983 - 998).\nAnswer: 13*v - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4225 is divided by 755.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 - 2*q**4 - 2*q + 5*q - 7*q**4 + 3*q**4 + 2*q**4 + (-q**3 + 2*q**3 - 2*q**3)*(0*q - 4*q + 6*q).\nAnswer: -2*q**4 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9589547 and 2717.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + 66. Let h = 422\/5 - j. Factor 0 - 6\/5*l**3 - h*l - 6\/5*l**2 - 2\/5*l**4.\nAnswer: -2*l*(l + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 + 105. What is the third smallest value in -1.5, z, -5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 5*b + 12, -4*n + 12 = 2*b - b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -790, 102.\nAnswer: -790, -2, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001000111001011 (base 2) in base 5?\nAnswer: 4220331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1254 + 1254 + 142*d**2 + (-4 + 1 + 1)*(-2*d**2 + 2*d**2 + 2*d**2) + 1 - 1 + d**2 - 36*d - 28*d**2 + 36*d.\nAnswer: 111*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1096 divided by 548.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 - 101*b - 63. Let u be c(-33). Suppose 0 = -4*a + u*g + 56, -2*a - 27*g + 14 = -25*g. Calculate the remainder when 163 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = b - 6, 42*b = n + 45*b + 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 88 = 5*g. What is the second derivative of -38 + 18*w + g - 14*w**2 + 16 wrt w?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-6 + 14 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*w + 3331 = -519. Calculate the highest common divisor of w and 3290.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.099737?\nAnswer: -0.0099737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.72 - 4. Let o = u + 0.08. Is 2 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**5\/60 + j**4\/12 + j**3\/3 + 4*j**2. Let x be c(0). Let p(b) = 2*b**2 + 2. Does 3 divide p(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 49, 118, 221, 364, 553, 794, 1093?\nAnswer: 1456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**3 - 5*m**3 - 5*m - 2 + m**3 + 3*m**2. Let a be i(-4). What is the units digit of a + -2 + 4 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10126, -15267, -23840, -35851, -51306?\n\"Answer: -y**3 - 1710*y**2 - 4*y - 8411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 201, 554, 1069, 1752?\nAnswer: 2609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/12*-1*-3. Let d be h\/(-1 + 12\/8). Let q = 7 - d. Solve -2*n = n - q, 4*k - 4*n + 24 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*d**2 - 3*a**2*d - 2899*a*d**4 - a*d - 80*a wrt d.\nAnswer: -6*a**2 - 34788*a*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -299 + 300. Which is the closest to 0? (a) 2\/15 (b) o (c) 0 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*c. Find the second derivative of -5*x + 6*x - x**c + 0*x + 2*x wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131525771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 31\/93 + (-1 - 50\/(-3)). Suppose -l*y = -13*y - 21. Suppose 42 = y*j - 0. Solve -5*p + 1 - j = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -33*r**2 - 9*r + 3. Let v(i) = 15*i**2 + 4*i - 1. Let h = 626 - 624. Let z(n) = h*a(n) + 5*v(n). Give z(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*y**3 + 2*y**2 + 3*y + 119 wrt y.\nAnswer: -312*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -287, 4, -4, 12, -3, -53, 5 in increasing order.\nAnswer: -287, -53, -4, -3, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12022 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: Suppose 5 = 2*d + 3. Which is smaller: d or 12\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1275435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**2 + 4*m. Let g(t) = 38*t**2 + 20*t - 2. Let s(l) = -2*g(l) + 11*r(l). Suppose -j = -4*n - 0*j - 15, 2*n + 4*j + 30 = 0. Calculate s(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -126. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 r when three letters picked without replacement from rrrrrhrrh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + 0.04. Let g = 173.008 - 173. Let r = f - g. Round r to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 6. Let z be s\/(-5) - (-441)\/(-385). What is the third biggest value in 4, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026734219 to five decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7\/3)*((x\/(x\/x**(-6\/13)))\/x)\/x)\/(x\/(x*x\/(x*x*(x\/(x**(-35)*x))\/x)*x))**(20\/9) assuming x is positive.\nAnswer: x**(-9401\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1. Let y(f) = -14*f - 8. Let w(t) = 3*b(t) + y(t). What is the first derivative of w(k) wrt k?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.48 + 26. What is x rounded to 1 decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 6. Suppose 0*w + 25 = -3*w - 2*t, -46 = 5*w - t. Let d be x(w). Let v(s) = s**2 - 4*s - 1. Give v(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2781*q - 32585. What is o(12)?\nAnswer: 787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(17)*5)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -64. Which is the fourth smallest value? (a) q (b) -1\/4 (c) -0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 623, 610, 597, 584, 571?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2875238487?\nAnswer: 3, 11, 23, 1262731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 13 = -2*u, 21 = -2*u + 5*y - 4. Let m(a) be the second derivative of -2*a + 0 + 3*a**2 + 1\/12*a**4 + a**3. Give m(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 366 and 20?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 greater than or equal to -15206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**3\/8 + 21*o**2 + 615*o\/2 + 1350 = 0?\nAnswer: -36, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2947 or 32405\/11?\nAnswer: 2947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.8 + -6. What is the nearest to 1 in o, -5, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56157 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.337? (a) -0.2 (b) -1\/13 (c) 0.4 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (22 - 13) - (-9 + 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 7:27 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 61*k = 113*k - 54*k - 123, 3*k = 5*g - 0*k + 205 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*c**4 + 1756689*c**3 + 663*c**2 - 13328*c + 5.\nAnswer: -1704*c + 10540134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 12:10 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 + 193*q + 6355. Give f(-26).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 2*b = -5*r - 5379, -3*r = 3*b - 3240. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, k: 11}. Give prob of picking 2 y and 2 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 24*r**2 - 24*r - 26. Let l be f(25). Find the common denominator of 3*l - ((-9443)\/(-336))\/(-19) and -26\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/6))**6*(n*n**8)\/n**(2\/15) assuming n is positive.\nAnswer: n**(238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4938779*h**3 - 1777728*h**3 + 546752*h**3 + 376720*h**3.\nAnswer: -5793035*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12798 is divided by 919?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 91, 141, 205, 289, 399, 541?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2. Let z(d) = d + 22. Let f(k) = 2*k + 16. Let h(y) = -4*f(y) + 5*z(y). Give h(v(g)).\nAnswer: -9*g**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82\/2527 - 5464\/12635. Let y be 14\/8*(-6)\/(-14). Let j = -0.04 - -5.04. Put 3\/2, y, n, j in descending order.\nAnswer: j, 3\/2, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111111010001 (base 2) to base 12.\nAnswer: 7101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1 = 4*o - 13, q + 3*o = 17. Let d(c) = -c. Let f(m) = -3. What is q*d(r) - f(r)?\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 99. What is s(0)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 80*p**2 - 3. Is d(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 9:18 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:20 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.4. Let r = 0.7 - 0.4. Let h = -0.6176 - -0.2176. Which is the second biggest value? (a) x (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from ttzttidid?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 less than 588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -67, -99, -131, -163, -195?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -26. Let i = -8 + o. Which is the closest to -3\/2? (a) 2 (b) -2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2\/13 (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-56)\/26 + 1023\/143.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 1, u: 8, s: 1, n: 1, t: 1}. Give prob of picking 1 s and 2 l.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 275*w**4 - 346*w + 164379 with respect to w.\nAnswer: 1100*w**3 - 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) - (sqrt(176)*1 + sqrt(176)) - sqrt(11) - (-3 + sqrt(66)\/sqrt(6)).\nAnswer: -6*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 17*u**2 + 39*u - 33. Let t be p(-14). Solve 47 = -t*f + 20 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxvx when four letters picked without replacement from {x: 7, v: 4}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 2*k**2 - 47*k - 160. Let v be g(-5). Which is bigger: 2\/9443 or v?\nAnswer: 2\/9443","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156\/3*(-50)\/200\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*w**6 + 50 + 10*w**2 - 76*w**6 - 52 - 19*w**6 wrt w?\nAnswer: -13560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2670\/(-801))\/((1\/(-3))\/(-1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by -30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1468 - 1460. Let x(j) = 2*j - 16 - 8 + j. Let u be x(l). What is the second smallest value in 3, 4\/3, u?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 541 + 14*x - 541. Let r(w) = 0 + 0 - 358633*w + 358611*w. What is a(r(f))?\nAnswer: -308*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (124\/(-50) + 1)\/((-5)\/25). Sort 0.05, -3, o, 4 in descending order.\nAnswer: o, 4, 0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -0*v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 5*u + 2*u + 15, -5*u - 15 = 10 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021117 rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -0.1. Let u(z) = 25*z**2 - 87*z - 50. Let t be u(4). Which is the nearest to 0? (a) t (b) -1\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2832 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8478733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2. Let p(n) = -154*n**2 - 653*n + 67 + 653*n - 67. Give a(p(w)).\nAnswer: 47432*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -12*n**6 - 3*n**4\/4 - 76*n**3\/3 + 2*n + 706. What is the third derivative of h(s) wrt s?\nAnswer: -4320*s**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 558256 and 37925.\nAnswer: 13956400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3472 = 4*x + 108810, 0 = w + 2*x - 52665. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -17*m**2 + 22*m - 7. Calculate k(3).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8850.9 - -8851. Let i = -0.35 + -43.65. Let q = i - -7. Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72464680 by 18116170.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103087415 and 18529.\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 470773433?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r - 8*r + 0*r. Suppose -337*t = -346*t + 9. What is h(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2896 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 10) in base 8?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2180172 rounded to 3 dps?\nAnswer: -0.218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/45)\/((-2)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert cbb (base 14) to base 5.\nAnswer: 40032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*n**2 - 8*n**2 + 336*n**2 + 62*n**2 + 66*n**2.\nAnswer: 690*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 134a?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - ((4 - 2) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 2. Let x(c) = -2*c**2 - 7*c + 231. Let p(n) = 7*h(n) + x(n). Let g(o) = 10*o**2. Give p(g(i)).\nAnswer: -200*i**4 + 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = t - 684, 2*h - 151*t = -147*t + 1404. Calculate the greatest common factor of 390 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3861270 divided by 10\nAnswer: 386127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 237945*x**2 - 951744*x + 951732.\nAnswer: -3*(x - 79311)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -458*o + 459*o - 7041*o**2 - 11922*o**2 + 4236*o**2 to g*o + k + b*o**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30213*x**4 - 67*x + 395 wrt x.\nAnswer: 362556*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 14*p + 16. Calculate r(-18).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984 (base 12) to base 16.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52868383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Which is the nearest to 0? (a) 125 (b) -0.5 (c) -8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2 + 2863311*u + 337828926 = 0. What is u?\nAnswer: -954319, -118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17\/5? (a) 0 (b) 0.45 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143 - -3287\/23. Let u = 4.07 - 0.07. What is the second smallest value in b, u, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.94 - -0.06. Let n = q + -1.5. Let g = -0.031 + 0.431. Which is the nearest to -0.1? (a) n (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2)*24\/30*-5)\/(-49)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83929 is divided by 749.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100220 + -11021101?\nAnswer: -11122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 874 - 485. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 11, e: 9}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -79528\nAnswer: -397640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b + 571. What is m(-36)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2316.11 - 2344. Let o = y + 28. Let z = o - -2.89. Which is the second smallest value? (a) z (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5603 is divided by 1096.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39232?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*d - 4 = -0*d, -8 = i + 3*d. Let a be 5\/((-2)\/(0 + -10)). Suppose 0 = 5*j - n - 62, 2*j + i*n - a = j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15843650 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 29. Suppose l*d + 67 = 627. Find the second derivative of -6*m + 6*m**4 - d + 140 wrt m.\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -232*m + 228*m + 44 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9857516.589234 + 9857537. Let c = 1.410656 - r. Let h = -19 - c. What is h rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 447, 448, 457, 474, 499, 532?\nAnswer: 573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-4))\/(-1)*20\/45?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2808*w + 2934*w + 2813*w + 2811*w - 11365*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:46 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxx when three letters picked without replacement from {x: 2, p: 1, d: 7}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34 - (3 + (-3)\/3). Suppose 3*v = -w - 4. Let c(j) = -2*j + 16. Is 13 a factor of c(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2 + 29*f + 8. Let j(h) = 4*h**2 - 27*h - 6. Let z(m) = -4*j(m) - 3*w(m). Let r(n) = -n**2 + 11*n. Give -5*r(p) + 3*z(p).\nAnswer: 2*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 425 = -4*z - 129, 0 = -z + 3*l + 95. What is the remainder when 565 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8727858 plus 36752564?\nAnswer: 28024706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-28))\/((-981)\/(-59514)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 6. Let j be x(-5). Suppose -a - j*a - 565 = 0. Let t = a - -158. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-81))\/(1\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 15*c = 265. Let y = -43 - c. Calculate the smallest common multiple of 21 and y.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b + 3. Let j be 10\/(65\/9 - 7). Let v = -7 + 1. Let g be (-73)\/(-15) - v\/j. Calculate h(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 7*c**2 + 9*c - 18. Let v be i(6). Suppose v = -4*y + 7 - 3. Let q(b) = 2*b + 1. Let w be q(y). Solve w*p + 18 = -3*h, 3*h + 12 + 2 = -p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7 = 173. Let f be (-2)\/(-8) + w\/(-16). Let y = f + 4. Put y, -2, -4 in descending order.\nAnswer: y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c - 1. Let r be 3*2*(5\/(-12))\/(285\/(-152)). Factor -4\/3*m**c - 1\/3*m**2 + r*m**3 + 0 + 0*m.\nAnswer: -m**2*(2*m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/44725504 and -45\/23392.\nAnswer: 44725504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-32)\/504)\/(4\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6179723*v**2 + 5431584*v.\nAnswer: -12359446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 u when three letters picked without replacement from {l: 2, u: 3, w: 2, f: 1, m: 10, c: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*(12 - 0). What is the common denominator of 0 + 0 + 36\/10 and (-4120)\/(-525) - l\/45?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52.395 - -0.295. Let l = z + 52. What is the closest to -5 in -5, 0, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-6) + (-3)\/(-2)*-1. Suppose a*h = -4 + 118. What is the remainder when h is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3474*w**4 - 6016*w + 6016*w)*(-2*w - 2*w + 2*w).\nAnswer: -6948*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 9022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 453 divided by -1\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10199808 divided by 16776\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:18 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3023, 6052, 9089, 12140, 15211?\nAnswer: 18308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**6\/120 - b**5\/20 + b**4\/24 - b**3\/2 - 4*b**2. Suppose -5*z = -4*a + 24, 2*a - 4 + 2 = 0. Let l = z - 0. Give p(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, m: 1, q: 2}. What is prob of sequence qm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**3\/3 - 9*y**2\/2 + 2*y + 4. Let k be d(-9). Suppose -p = -k*x + 321, 3*x = -x + p + 637. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k. Suppose -2*y = -8 - 0. Let p(l) = -y*l + 2*l + 0*l. What is p(t(n))?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - b5?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-2) - (-5 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + t - t)*(0 + 6 - 4).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 8*b**2 - 7*b - 7. Let x(j) = j**2 - j - 1. Suppose 3*o - 5*o = -8. Suppose -2*n + o = -0. Calculate n*p(c) - 14*x(c).\nAnswer: 2*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s = -24*s + 2688. Calculate the lowest common multiple of 6 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 4*l**2 - 2*l - 2. Let j be t(3). Let y be (28 + 3)*3\/j. Let v = y - 1211\/13. Which is bigger: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 1. Let j(v) = 8*v**2 - 12. What is -4*j(b) - 36*w(b)?\nAnswer: 4*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9338603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 123913 = 123918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*r + 10, -3*w - 6*r - 6 = -3*r. Let n be -7 + 5 - (-2 + w - 10). Suppose -n = -5*y - k + 10, -y - 3*k + 4 = 0. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (1320\/(-4))\/(33\/(-9) - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 - 250 = -2*l. Suppose y = 4*y - l. Find the common denominator of 49\/18 and 21\/(-12)*y\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t. Let q(i) = -i - 1. Let z(j) = -g(j) + 4*q(j). What is the derivative of z(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -84, -76, -64, -48, -28, -4?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0118114 rounded to four dps?\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 43\/72 + (-2)\/9. Let a = 0.6 + 0.4. Let j = -10.6 - -11. Put a, j, d in ascending order.\nAnswer: d, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 11 + 1*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w - 13. What is c(10)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*h**3 + 336*h + 15455*h**2 - 55604*h**4 + 55631*h**4 - 336*h wrt h.\nAnswer: 648*h - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/4 - 10885*f\/4 + 5443\/2 = 0. Calculate f.\nAnswer: -10886, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 69. Suppose 10*m - 4 = h*m. Solve 0 = m*j + d, 3*d - 2*d = j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101000101110 (base 2) to base 7\nAnswer: -10412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -118*((-20)\/(-8)*-1 + 3). Let v = k + 380. What are the prime factors of v?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15210117 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 588*s + 71007. What is x(386)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 7*g + 5. Let i be m(6). Let l = -14 - -16. What are the prime factors of (-12)\/(3\/(i - l))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 18\/5053?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 8. Let b be g(6). Let a = -3942 - -3983. What is the third derivative of -2 - 66*h**5 + a*h**5 + 3*h**b + 2 wrt h?\nAnswer: -1500*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627851.9kg to grams.\nAnswer: 627851900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 12. What is the least common multiple of 6\/(-12)*((-1 - -1) + -26) and v(5)?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -3 in increasing order.\nAnswer: -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202853 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdns when four letters picked without replacement from {d: 4, w: 4, n: 2, s: 10}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12 (b) 5 (c) 152934 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 528, 2881, 6804, 12297, 19360, 27993, 38196?\n\"Answer: 785*j**2 - 2*j - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + (-3 - -2 - -3))\/(-1). List the prime factors of -6 - l - (-569 - -27).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-11)\/((b**(-16\/7)\/b*b)\/b) assuming b is positive.\nAnswer: b**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**4 + 9*b**3 + 12*b**2 + 3. Let c(x) = -7*x**4 - 9*x**3 - 13*x**2 + x - 4. Let r(y) = 3*c(y) + 4*q(y). Factor r(u).\nAnswer: 3*u*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4070 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: Factor 5*v**5 - 10*v**4 - 20*v**3 + 40*v**2.\nAnswer: 5*v**2*(v - 2)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 343021000 (base 5) in base 6?\nAnswer: 52503253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + a + 4 - 1, -4*a + 5 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -756895, -1513790, -2270685, -3027580, -3784475?\nAnswer: -4541370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15477727*m**5 - 20316863*m.\nAnswer: 309554540*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-5)*((-2)\/1)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 3*x**2 - 6*x + 7. Let y be g(-6). Let q = 193\/3 + y. Which is the third biggest value? (a) q (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*1\/3*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*s, 3*q - 16*s + 14*s - 20 = 0. Let w(y) = y**3 + 8*y**2 + 7*y + 5. Let l be w(-7). Solve u + q = d, -2*u - 9 - 14 = -l*d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0 - 2 + 1 - 2*i**2. Let s(v) = 61*v**2 - 28*v**2 - v**2 - 30*v**2. Calculate m(s(x)).\nAnswer: -8*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11971*a**2 - 43004 wrt a.\nAnswer: 23942*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18*i**2 + 26*i - 78. Let m = 3 + 3. What is the hundreds digit of w(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.2841 + -6.6841. Let h = -0.03 - -4.03. What is the fourth biggest value in h, y, -1, 0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 865874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46700.9896964 - 46701. Round k to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353.103 years to centuries.\nAnswer: 3.53103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 2. Let a be (-25*(-4)\/300)\/1. Let a*w**o - 16\/3*w**2 - 4\/3*w + 0 + 4\/3*w**4 = 0. What is w?\nAnswer: -2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157187856 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -384.724 - -385. Let t = j - 0.276. Which is smaller: t or 0.61?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4207 is divided by 136?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 68, 145, 240, 347, 460, 573?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -207 + 350. Let f = z + -82. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 + 88301*o. Let p(j) = -36*j. What is w(p(v))?\nAnswer: 3888*v**2 - 3178836*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-27) + 6\/27. Let o(c) = c**2 + c - 5. Determine o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 1:23 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01638 and 0.235940109.\nAnswer: 0.219560109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 18*v**2 + 30*v + 117. What is the thousands digit of d(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 198*h - 163 wrt h?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 1:17 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.52999942 + 0.53. What is x rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/6 - 328\/(-24). Suppose 4*n - 114 = 3*v + 5, 0 = -3*n + b. Let p be (-15)\/v*14\/(-35). What is the third smallest value in -0.4, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/8)\/((-2)\/1820). Suppose -c - l = 2*c + 5*a, 0 = -c - a - 155. Round c to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 8 + 5, 3*h = -4*z + 23345. List the prime factors of h.\nAnswer: 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b + 113 + 67 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*m**5 - 6*m**2 + m - 510 wrt m.\nAnswer: 580*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, b: 7}. Give prob of picking 2 b and 2 m.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54820 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -26*s. Let p(u) = -12646*u. What is q(p(j))?\nAnswer: 328796*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-1 + sqrt(80) + sqrt(80)*-2)*-1 + (sqrt(80) + 2 + sqrt(80) + 1 - (sqrt(80) + sqrt(80) + 1 + 0)))*6)**2*-6.\nAnswer: -19014 - 4896*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 3*u + 204 = 0. Let d = u + -68. Solve 3*h + d*h = -6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 4*g + (3*g - 2*g - 2*g)*(-5 + 1 + 3).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q*s**4 + 21*q*s**2 + q*s + 693*s**4 + 18*s**2 wrt s.\nAnswer: 48*q*s + 16632*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 3. Suppose 3*h - 2*h - 4*v = 16, -4*h + 85 = 5*v. Calculate the lowest common multiple of a(-3) and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*o - 2. Suppose 2*j + 34 = 40. Suppose j*s + s - 40 = 0. Solve 5*h + 5 = -4*i - s, 16 = h - o*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 77 (c) -0.01 (d) 1327\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 8:52 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 110*n**4 - 34 wrt n?\nAnswer: 440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 440765610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 2*i**4 - 2*i**3\/3 + 5*i**2\/2 - 127. Find the third derivative of h(y) wrt y.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxxixiiiu. What is prob of sequence ui?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186 - 111. Let a = b + -37. Let l = a - 38.00000068. Round l to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00115995403 rounded to 7 decimal places?\nAnswer: -0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39261674, 78523348, 117785022?\nAnswer: 157046696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 2*m - 5. Calculate the common denominator of -13\/40 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 318876*z + 78685560.\nAnswer: -4*(z - 79965)*(z + 246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12010012111 (base 3) in base 11?\nAnswer: -69771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3398648*b*v**2 + 367728*b + 77*v**2 - 95*v + 1 wrt v?\nAnswer: -6797296*b + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -q + 3, 0 - 6 = -2*q - 3*w. Let l be 3\/(-2 + (-14)\/(-4)). Let g = q - l. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o - 13*o - 14*o - 10*o**3.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1375) + -1*sqrt(1375)) - sqrt(1375))\/(sqrt(40)\/sqrt(2)*2).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6355 and 775?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5485 - 5494. Let o = -0.385 + -2.545. Let h = 0.07 - o. Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/151, 4, 3, -76, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -aa0?\nAnswer: -aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -77*p**2 + 2*p. Let h(r) = -5*r - 6. Let b be h(-1). Let k be y(b). Let m = k - -160. What is the remainder when m is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1803 + -1233. Is s a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 + 11 - 2) + 11. Let s(n) = -n**3 + 7*n**2 + 66*n - 32. Let i be s(y). Solve 44*h - i*h + 16 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:19 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + (-54)\/30).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316\/15 < 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 16*l**3 - 2*l**2 + l. Let g be z(1). Let b be (g + -2 + -2)*1. What is the highest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.37 - -150291972923\nAnswer: 150291972924.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 2, w: 4, x: 3}. What is prob of sequence xx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -652 at most as big as -34586\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k - 0. Suppose k - 3 = 2*t. Let j be (-2)\/(-3)*(-2)\/(-4). Is j at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22322211 (base 4) to base 7\nAnswer: -244230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4 + 55\/15)*-94137)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 0 + 1 - i + 3*i. Suppose 6*w + 12 - 6 = 0. Calculate g(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22103320312 + 0?\nAnswer: -22103320312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -481, -588, -771, -1036, -1389, -1836?\n\"Answer: -z**3 - 32*z**2 - 4*z - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 + 0.11. Let w = x + -0.5. Which is the nearest to 0.1? (a) w (b) 1\/6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, 6, 13?\n\"Answer: 7*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1248)\/39 - 150\/(-5))\/185?\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snnplwplpswnnlnpnpp. Give prob of sequence ss.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 k when three letters picked without replacement from oeuekk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 109*y + 9854. Calculate z(-86).\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**3 - 6*n + 5. Let c(q) be the first derivative of 7*q**4\/2 - 17*q**2\/2 + 14*q - 3. Let x(o) = -6*c(o) + 17*s(o). Differentiate x(h) wrt h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 4*n - 96, -22*b + 21*b = 5*n - 32. What is the nearest to -1 in -2, -54, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 divided by -1?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 = -0*o - o, 5*f = -o + 17. Suppose -8*v - 568 = -o*v. What is the remainder when 101 is divided by 3*(-6)\/(-99) + v\/(-22)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -15. Let i = 53 - j. Calculate the remainder when i\/3 - (-1)\/3 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24976 - -4276. What is o rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2646 and 1\/420.\nAnswer: 26460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28, 16, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0173 times -0.1\nAnswer: -0.00173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57.7 - 58. Which is the closest to -2\/7? (a) f (b) 0 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -39 (b) -3 (c) -211 (d) 3\/2 (e) -0.9 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 583508929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 4:24 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-460)\/2576)\/(((-33)\/36)\/(-11)).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -4.155.\nAnswer: -0.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 50\/(72\/45 + 4\/10). Let y be 20\/s + (-13776)\/20 + 0. Let a = 1007 + y. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 324774\/33 - 36\/(-99). Let p(q) = 17*q - x + 9842 - 2*q. Let y(d) = 4*d**2. What is p(y(j))?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31403882 to the nearest integer?\nAnswer: 5604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 7 - 83*z**2 - 4 + 94*z**2. Suppose 0*n + 4*n = -8. What are the prime factors of c(n)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -136. Suppose -3*g = y - 9. Calculate the remainder when (-1)\/(-2)*4 - g is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**8\/10080 - 7*o**6\/1080 + o**5\/30 + o**4\/12 + 16*o**2. Let p(s) be the second derivative of l(s). Factor p(u).\nAnswer: 2*(u - 2)*(u - 1)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {z: 5, e: 2, x: 1, m: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -1022022?\nAnswer: -1022024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/6 - 62\/(-20) and -24\/19?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 6*c - 3. Let h be f(-5). Let d = h - -1. Differentiate -3*v**2 + 4*v**2 + d - 2 with respect to v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 174, 918, 2158, 3894?\n\"Answer: 248*y**2 - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1557455 to three dps.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 1:50 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - u + 7 + 6*u - 14*u.\nAnswer: -3*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000024825302 rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 874170 and 386.\nAnswer: 337429620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 12*g**2 + 20*g + 51. What is the remainder when 254 is divided by c(-10)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 2*x - 516. Suppose 0*s + 4*s = x. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9)\/(-6)*96\/(-36) - 43\/10 and 69\/1930?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 0*w**3 - 6*w - 1\/600*w**6 - 3\/100*w**5 + 4*w**2 - 1\/15*w**4 + 0. Factor m(v).\nAnswer: -v*(v + 1)*(v + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17154 (base 8) to base 12.\nAnswer: 4610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 845*r - 38038. Give u(45).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.6 times -4?\nAnswer: -290.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87\/511 + 2\/73. What is the closest to 1 in j, 5, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 divided by 39?\nAnswer: 107\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-135 + 1)*6321\/42. Round b to the nearest 100.\nAnswer: -20200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1510*s + 3284 + 7286 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -30*r + 63. Let t be q(2). Solve 0*h + t*h = 5*d - 25, -2*d + 5*h + 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**2 + 35392*h - 106212 = 0.\nAnswer: -8851, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62654 + 2.3.\nAnswer: -62651.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-85))\/((-3)\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 6*a**2 - 2. Let b be x(6). Suppose -l + 93 - 15 = 0. Let s be (-44)\/l - b\/6. Is 0 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + l**2 - l**2 - 1 + 1 + l**2 + (2*l**2 + 4 - 4)*(0 - 1 + 2))*(-1 + 3 - 4)*(-l**2 - l**2 + 4*l**2).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 3, k: 4, r: 2}. Give prob of sequence kr.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1972221447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 + -6.4. Let c = 4.9 - -0.1. Let b = c + n. Sort b, 4, -1 in ascending order.\nAnswer: -1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11088 is divided by 1847?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 16*k. Let a(i) be the first derivative of -i**6\/360 - 16*i**3\/3 - 8. Let z(y) be the third derivative of a(y). Calculate z(u(p)).\nAnswer: -256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 2*l - 1. Let o be u(-3). Let z = -37 + 22. Let f be 42\/30 + 6\/z. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 86 = -8*r, -6*r + 2*m - 12 - 43 = -7*r - 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8729146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtfrrvv. What is prob of picking 1 t, 1 v, and 1 f?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03046293832 to three decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 14*j**2 - 37*j - 12. Calculate c(-11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12193 - -12195. Solve 0 = 5*k + s*w + 101 - 102, -3*k + 3*w = 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssosssssssoosos. Give prob of picking 1 o and 2 s.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Let t(g) = -g**3 + 12*g**2 - 10*g - 9. Let j be t(11). Let f(b) = -5*b + 8*b - j*b. Give 3*f(w) - 2*z(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 878 = -0*t - 5*t, 0 = -t + 4*w - 168. Let v = 182 + t. What is the smallest common multiple of 108 and v?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000219504685 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 0.2, 0.4, 0, -3\/8, 3\/80?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 7. Suppose -18 + 0 = 9*h. Let b be 1 + ((-18)\/(h - 1) - 3). Put i, 3, b in descending order.\nAnswer: b, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 1.56878.\nAnswer: 21.96292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82.8 + -42.6. Let z = -3 - 44. Let i = z + u. Round i to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*f + 39*f + 33*f.\nAnswer: -34*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9108 is divided by 73?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 6608*c - 6612*c, 2*n - 11 = -c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 170, 44, 1\/9, 1\/32?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (6 - 10 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -784, -758, -732?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, i: 1, s: 3, z: 4, j: 1}. Give prob of picking 1 m, 1 i, and 2 z.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 4*y + 3. Let x be l(-4). Let f = x + 7. Let g = 12 - f. Solve -2*o + 1 = -4*t - o, 4*o = -g*t - 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2290 by -5.\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 40*l + 8. Let a(k) = k + 2. What is -3*a(s) + g(s)?\nAnswer: 37*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*x = 13, o - 4*o - 2*x = 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3.4. Let t = 8.7 - 11.7. What is the nearest to -6\/5 in 1, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 7 = 11, -27*o - 4*o - 29*o - 1206*b = -1207*b - 231 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 2. Let s be q(6). Suppose 5*o = -s + 14, -5*o = 3*z - 16. Solve -5 + 3 = -z*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26220.2 times 3?\nAnswer: -78660.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1492 = -6*o + 10*o. Let s be (-4)\/6 - (-7774)\/6. Suppose b - 4*l - o - 264 = 0, l + s = 2*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -52, -5, -3 in increasing order.\nAnswer: -52, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -205 - -216. Suppose -b*x + 80 + 1020 = 0. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - w + 3*w)*(-6*w - 78*w + 1697*w).\nAnswer: -3226*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 92*t**2 + 1018*t - 928.\nAnswer: 2*(t - 29)*(t - 16)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-34)\/(-2) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43636, -174202, -391810, -696460, -1088152?\n\"Answer: -43521*h**2 - 3*h - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*a = -a - 3, 0 = 3*d + 3*a - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -1\/4, 7154?\nAnswer: 7154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/37, 0.1, 0.2, 6?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - 23) + -15 - -139\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 10:45 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + (-1 + -3 - -1) + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -944*y - 46691. Determine j(-50).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -6 + 2 + 19 - 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2 - 440349*t - 440350 = 0.\nAnswer: -1, 440350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-5)\/(-5))*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23469536 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*224\/64*(-2)\/(-42)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b + 20*b + 16*b - 72*b + 23*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 87*f**2 - 12. Let l(g) = 5*g**2 + 3*g - 3. Let o(s) = -6*s**2 - 4*s + 4. Let j(y) = -4*l(y) - 3*o(y). What is n(j(u))?\nAnswer: 348*u**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15129 and 4071423?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z - 4 - 1 + 6. Let b be m(1). Let r be b\/(-5 - -3) + 11. Is r at least as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 63*i + 62*i**2 + 68*i**2 - 63*i - 45*i**2. Let k(y) = y**2. Calculate k(l(x)).\nAnswer: 7225*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20649*d**4 + 2*d**2 - 20*d - 8?\nAnswer: -495576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(204\/(-93) - -2). Let i = l - -2401\/124. Find the common denominator of -5*((-25)\/4 + 2) and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) 759 (c) -0.4 (d) -2\/989\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i*o**2 - 3*i*o - 22*i + 980*o**2 - 101 wrt o.\nAnswer: 4*i*o - 3*i + 1960*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517.646 - -1.4?\nAnswer: 519.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.179 + 6.2.\nAnswer: 17.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/4)\/((-34)\/4 + 2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222 a factor of 799331849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2211 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 2\/33 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -81258 + 2?\nAnswer: -81256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-5 - -24) + -12 - -21?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 8 - 6*c)*(-4*c + 3*c - 6*c) in the form m*c + d + i*c**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89488 divided by -376.\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/9936 and -133\/144.\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608686 + 2607504 = 481*x + 145*x. What is the remainder when x is divided by 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86549\/813450 + -7\/14025. What is the common denominator of c and 27\/319?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5 + 44*w**4 = 0. What is w?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 133*c + 10. Let n(z) = -400*z - 32. Give -16*h(i) - 5*n(i).\nAnswer: -128*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrrrsr. What is prob of sequence ss?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.7119006834 - -3.71187. What is w rounded to 6 decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-11544)\/(-195))\/(2\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeej when four letters picked without replacement from eujkrgu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/(-90))\/(2\/(-10)). Suppose 5*u - 4036 = -t*c - 2*c, u - 5045 = -5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/8)\/(2*-1). Suppose 3*i + 48 = 7*i. Let q(s) = s**2 - 14*s + 25. Let w be q(i). Solve -x*d = -d + w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 46*z**2 - 168*z - 108. What are the prime factors of p(-49)?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -17, -51130 in decreasing order.\nAnswer: 6, -17, -51130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -939 + 935. What is the second biggest value in -227, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 11*k + 5. Let o(n) = -10*n - 4. Let t(a) = -4*o(a) - 3*x(a). Differentiate t(d) with respect to d.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(3\/2)*h*(h*h\/h**(1\/5))\/h)**(-46))**(2\/189))**(-24) assuming h is positive.\nAnswer: h**(4784\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**5\/20 + 17*a**4\/16 + 17*a**3\/2 + 43*a**2\/2 + 22*a + 336. Determine x, given that y(x) = 0.\nAnswer: -2, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8. Suppose p*b - 388 = -4*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5 - 1. Let g = v - -5. What is the first derivative of -g - 3 + 1 + 3*x**2 + 7 wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p + 87*p = 121394. Is 62 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11147193 times 0.3?\nAnswer: -3344157.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15385 + 15462. Which is smaller: w or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 230*w - 231*w + 462*w - 196 = 0, 2*w + 70 = -3*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 27369452 + 14217.52\nAnswer: 27383669.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 552451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -1 - (-32 + (-23 - -24)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*r = -25, 4*i + 2*r + 3 = -7. Solve -4*n - n - 5 = i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - g - 1. Let z be a(0). Let v(h) = h**2 - 1. Let r be v(z). Solve r = -2*j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2364 - 2364 - 1841*s**2 in the form b + q*s + p*s**2 and give p.\nAnswer: -1841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - -0.83. Let v = d + -0.5. What is the third smallest value in -0.1, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000353291797 rounded to 5 dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 l when four letters picked without replacement from lywyooyoyywl.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0 = -12. What is the remainder when ((-218)\/(-8))\/(a\/(-12)) is divided by (-1 + 3)*(-2 + -3 + 19)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -97. Suppose -21 = -k*s + 39*s. What is the remainder when (-486)\/(-21) - 3\/s is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8*s**3 - 9*s**2 + 9*s - 1. Let p(u) = -2*u**3 + 2*u**2 - 2*u. Let m be 831\/6 - (4\/(-8) + 2). Let x = m + -135. Calculate x*b(z) + 9*p(z).\nAnswer: -2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vra when three letters picked without replacement from hrahvhmharhmhm.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/7 + 79*x\/7 - 228\/7 = 0.\nAnswer: 3, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etoxmmemvve. Give prob of picking 2 e, 1 v, and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 8:29 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40953\/374*4\/6. What is the highest common factor of b and 8833?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 191*v - 22. Is y(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.88 + 0.12. Let c = 31 - g. Let m = -19\/28 - -5\/28. What is the nearest to -2\/3 in c, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((1 - 0 - (-22 + 18)) + -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/1)\/30 + (-98)\/60. Let n = -1\/15 + c. Which is greater: n or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Solve u = -3*v + 13 - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-40)\/(-100))\/(2\/(-10)). Let k be ((-572)\/(-33))\/(g\/(-3)). What is the greatest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1761318, -3522624, -5283928, -7045230?\n\"Answer: l**2 - 1761309*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 727 a factor of 1295245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -12209*a + 2826. Is k(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/15)*h**(-2\/3)*h*h**(-1\/2)*((h*h**(-3\/7))\/h)\/h assuming h is positive.\nAnswer: h**(-121\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mccyyg. Give prob of picking 1 m and 2 y.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.29145+-258\nAnswer: -258.29145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/6)\/(l**11*l) assuming l is positive.\nAnswer: l**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9796 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 134*p - 131*p - 12. Suppose -2*j + 2 = -2*i, -3 = -p*j + i + 7. Suppose 6 = 2*a - 0*s + 2*s, s = -3*a + j. Let x(u) = -u**2 + u - 8. What is x(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2568\/(-8988))\/(13\/(-14)))\/((-3)\/((-78)\/28))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*-6*(-143)\/(-990)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 3*n**2 - 6*n - 5. What is i(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114102073*x**3 - 4033151*x**2?\nAnswer: -684612438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**7\/210 - k**6\/24 + 2*k**5\/3 - 37*k**2. Find the third derivative of c(g) wrt g.\nAnswer: 24*g - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, o: 4, i: 1, v: 2, c: 5, x: 3}. Give prob of picking 1 x, 1 i, and 1 o.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -613514.379158 + 613515. Let x = -0.62 + u. What is x rounded to 5 dps?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*v - 3*v**3 + 47*v)*(143*v - v - 23*v) + 3*v - 3*v - 2*v**4.\nAnswer: -359*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4*313\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9560961 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46614, -186888, -420834, -748452, -1169742, -1684704?\nAnswer: -2293338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - m + 0*m)*(37398*m - 37297*m - 10 - 4) in the form q*m**2 + g*m + x and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(t*t**(-3))))\/(t\/t**(-5)))\/((t\/(t\/t**(-3\/8)))\/(t*t**(-1)*t*t)) assuming t is positive.\nAnswer: t**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/23835 and 11\/302585325?\nAnswer: 302585325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18241, 4, -3 in increasing order.\nAnswer: -18241, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 47 - ((8 - 23 - -29) + 4)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857265221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - -31) + (9 - 21) + -19.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 3618?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**3\/2 + w. Let c(i) = -i**3 + 3*i**2 + 6*i - 5. Let y be c(4). Let l(h) = h + h - y*h. Give g(l(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 4763541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 58*s**3 - 17*s**2 + 7*s + 33. Is x(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(78) + sqrt(78) + -3*(sqrt(78) - 2*sqrt(78) - sqrt(78)))*2)\/(sqrt(66)\/(sqrt(66)\/(sqrt(30)\/sqrt(5) - sqrt(6) - sqrt(6)))) + 0 + -2)**2.\nAnswer: 64*sqrt(13) + 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 248460709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 6:51 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 202*z**3 + 17*z**2 - 52*z - 39. Is w(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738612 is divided by 3604.\nAnswer: 3396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a = -27*a. Let z = -81 - -165\/2. Let p be (-6)\/(-16)*8\/12. What is the closest to a in p, 2\/45, z?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -5 (b) 2\/5 (c) -1609 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 193*j**3 + 250*j**3 + 352*j**3 + (j - 4*j + 4*j)*(16 - 16 - 5*j**2) + 2*j**3 - 3*j**3 + 3*j**3 to p*j + g + h*j**3 + f*j**2 and give h.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3978828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 41.58?\nAnswer: 20.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-30)*((-9936)\/704 + 11) + -10?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*k = 4*v - 12, 7 = -v + 5*k. Let i be -2*(-2)\/6*v. Sort i, -5, 4.\nAnswer: -5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + j**2 - 2*j + 26. Calculate the smallest common multiple of 450 and w(4).\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (19 + 5)) + (53 - 54)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -39, -137, -275?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 325704833 to the power of 1\/2, to the nearest integer?\nAnswer: 18047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 0*t - 3*t + 5*t. Let c be i(2). Factor -2*k**3 - c*k**3 - 2*k**2 + 4*k**3.\nAnswer: -2*k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 11*o**2 - 26*o - 12. Let z be w(-8). Solve 5*y = -5*p + 15, -7 - 2 = z*p - 3*y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4073 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13310644 + -186481819\/14. Let l = 9490 + w. Let x = 98381\/23848 + -1\/2981. What is the common denominator of l and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*r**2\/5 - 12059427*r\/5 - 3014856\/5.\nAnswer: -3*(r + 1004952)*(4*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3304165 = 50*c - 31404165. Round c to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v + 26. Determine h(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 - 3*n + n + 5*n**2 + 4*n + 0*n**4 - n**4 in the form s*n**3 + a + i*n**4 + q*n + u*n**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8*g**2 + 103*g + 14. Determine d(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -9, -18, -31, -48, -69?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3380869 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a - 12 = 0. Suppose -3*q - 5*k = -43, -a*q - q - 1 = -5*k. Let g = q - 56\/9. Put -4, g, -0.4 in increasing order.\nAnswer: -4, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 5.5 (c) 0.3 (d) -1542 (e) -1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 31*l**2 - 29*l + 37. What is the tens digit of u(30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 10875.\nAnswer: 10878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -94*h + 82*h. Let m(r) = -r**2 + 3*r + 1. Determine m(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -356, -528, -700, -872?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -62. Let n = 27 + s. Suppose -5*b - 2*k = -36, 9 = 2*b - 5*k + n*k. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 7:56 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.32 - 599.98. Let z = 576 + b. Let r = z + 38. What is the second smallest value in -4, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -29*q + 9*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*sqrt(468) - sqrt(468) - -2*(sqrt(39)\/sqrt(3) + -5).\nAnswer: -34*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9108 (base 10) to base 14\nAnswer: -3468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*l, 2*s = -2*s + 2*l + 48. Let x = -74 + 76. Solve 0*y + x*y = -s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in -1\/4, -5, -73, 2\/19, 3?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 47 = -3*f, 2*f - 15 - 12 = 5*z. Let w = 10 + z. Let x(d) = d**3 + d**2 - d + 4. Is x(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -96*v + 23. List the prime factors of x(-3).\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13564 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -910*w + 459*w + 448*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 0*w**2 + 0*w**6 - 22*w + 0*w**5 + 0*w**3 - 163\/21*w**7 + 0 + 287\/12*w**4. Find the third derivative of g(k) wrt k.\nAnswer: -19560*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.4, 0.05, -11, -0.1 in ascending order.\nAnswer: -11, -2.4, -0.1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + b + 2. Let d be t(0). Suppose -3*y = -d - 1. Let c(n) = 6*n - 1. Give c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141*f**4 + 39*f**3*o**2 + 5*f*o**2 - 5084*o wrt f.\nAnswer: 1692*f**2 + 234*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)\/(h\/(h*h\/(h\/((h*h\/h**(-2))\/h*h)))))**(8\/13)*(h**(-2\/5)*h*h**(2\/13))**40 assuming h is positive.\nAnswer: h**(2104\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3\/5 - 3367*w**2\/5 + 2770856*w\/5 + 107181748\/5 = 0. Calculate w.\nAnswer: -37, 1702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(99) - sqrt(11)) + -2)**2 + (-1 + sqrt(1584) - (sqrt(11) - sqrt(33)\/sqrt(3)*-1)).\nAnswer: 42*sqrt(11) + 707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 - -113. Solve -10*c + o = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 8. Suppose 3*u - f = -0. Let c(r) = u*r**2 + 10*r**3 + 0*r**2 + 3 - 9*r**3. Give c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -37. Suppose 4*l + 14 = 5*j - h, 2*j - l = 6. Calculate the remainder when j is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = -28*v + 105. Calculate the remainder when v is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1734*b**3 + 1206*b**3 + 922*b**3 + 199*b**3.\nAnswer: 4061*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 3 - 91 = -20*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 + 16*k**2 - 103*k - 24. Is b(14) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 22. Put -0.01, a, 1\/3 in increasing order.\nAnswer: -0.01, a, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -3 - sqrt(11) - sqrt(11))*-6)**2.\nAnswer: -432*sqrt(11) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/4 - 19*v**2 - 551*v\/4 - 119 = 0. What is v?\nAnswer: -68, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 4*q - 3. Let b be v(5). Let f(g) = 4*g - 3*g + 5*g**b - 10*g**2 + 2 - g**3. Let a be (-4116)\/812 + (-2)\/(-29). Give f(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 4*l**5\/5 - l**4\/4 + 3*l**2\/2 + 26*l. Let h(o) = -16*o**3 + 4*o**2 - 4. Calculate 4*b(k) + 3*h(k).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxx when three letters picked without replacement from xbxxb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -133 + 135 - (-1 - -9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/17439837 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -389, -345, -281, -197, -93, 31?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.22 + -14.22. Let t = c + 14.0014. Round t to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 10. What is the tens digit of (33\/2)\/(y\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3274 and 2525891?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-90)\/(-50)*10\/6. Solve i*v = 4*q + 10, 5*v + 24 = -4*q + v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54710.24 rounded to the nearest ten?\nAnswer: -54710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6100 is divided by 562?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 g when three letters picked without replacement from iignnciciginninggci?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 9*q - 7. Let a be p(-7). Let n(g) = -6*g - 1. Let l(x) be the third derivative of 13*x**4\/24 + x**3\/3 - 1320*x**2. Determine a*n(v) + 3*l(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 3. Let h = 2 - u. Let q(f) = f - 4. Let g be q(h). Solve 0 = g*y - 0 + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c - 12. Let g be a(7). Suppose g = -2*u - 4*u. Let l = -489 - -481. Let q(v) = -2*v - 2. Let f(t) = 3*t + 3. What is l*q(h) + u*f(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 2*q)*(0 + 4 - 3)*(-1 + 1 + 1) + 0*q + 2*q + 5*q + (1 - 4 - 6)*(-6*q + 0*q + 0*q).\nAnswer: 62*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 4*a + 9, 6*u + 3 = 7*u + 2*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/20 and -29\/909116?\nAnswer: 4545580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, 1\/4, 1\/39, -330 in decreasing order.\nAnswer: 119, 1\/4, 1\/39, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159472801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-4 - (-2 - -2) - (-83 + 74))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 25. Suppose v*u - 8 = 7. Solve -u*k = -3*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30066 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 30. Let r(q) = -3*q + 28. What is -5*b(u) + 4*r(u)?\nAnswer: -2*u - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -9*u**5\/5 + 13*u**4\/4 - 35*u**3\/3 - 91. Find the third derivative of j(c) wrt c.\nAnswer: -216*c + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3169262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 - -104. Let j = w - -37. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -21. Let a be ((-9)\/(-6) - 2)*19. Let x = a - -11. Which is smaller: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/230 and 50\/17503.\nAnswer: 175030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2)*(0 - -43662). Let j(v) = 132926 - v + x + 1581. Let m be j(0). What is m rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138.1 + 269. Let x = 130.3 - k. Let i be -1 + (-2)\/(-1) + -8. Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1042 + -94115121.86.\nAnswer: -94115121.9642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1328 - 629\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -280*n + 13385. Give r(48).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423*3.229.\nAnswer: -1365.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d = -51*d - 16. Let h(u) = -2*u - 1. Let o(x) = -x - 1. Let j(l) = h(l) + 3*o(l). Let f(c) = -c + c + c + 1. Determine d*j(t) - 18*f(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2525531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51886382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**6\/120 + 23*o**5\/60 - 7*o**4\/4 + 59*o**3\/6 + 121*o**2. List the prime factors of q(21).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/84392 and -27\/5480.\nAnswer: 421960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3627606 or -61669320\/17?\nAnswer: -61669320\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -20, -26, -32, -38, -44?\n\"Answer: -6*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190578661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 55.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1412 (base 5) in base 11?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 less than 91661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 - 3*t**2 - t**2)*(-159 - 3100 + 1059 - 2547 - 85).\nAnswer: -4832*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q + 27. Let t(p) = 1. Let s(x) = -l(x) + 3*t(x). Let y be s(11). Solve -2*w = -5*i + y, 3*i + 4*w - 5 = -2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 31. Let i(u) = -u**3 + 8*u**2 - 7*u + 4. Let c be i(p). Solve -c*o + 3*o = -3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 250433044 + -25?\nAnswer: 250433015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 19*x**7\/42 - 4*x**4\/3 - 16*x. Find the third derivative of r(g) wrt g.\nAnswer: 1140*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1303545 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f8bfe (base 16) to base 9.\nAnswer: -3801011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z - 55*z + 2 = 2*l, 0 = 2*l - 4*z + 4. Solve 3*x = 2*p - 1, -4*p + 3 = -3*x + l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/(1*sqrt(432))*-2)\/(2*(sqrt(81) + 5*(sqrt(81) - (sqrt(81) - (sqrt(81) - (sqrt(81) + -2*sqrt(81) - sqrt(81))))))).\nAnswer: -sqrt(5)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 143*i + 16587. Calculate t(-115).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1494 - 703 - 3*q**3 - 791.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -85, -2 in ascending order.\nAnswer: -85, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhrihriririr. What is prob of sequence hrih?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + -6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 16276*d - 32560.\nAnswer: 2*(d - 2)*(d + 8140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 11:58 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**1)**(-18)\/((r**(-4)*r)\/(r*r**(1\/3)*r)))\/((r**(-1)\/r)**31\/(r**(1\/3)\/((r\/r**(-4))\/r))) assuming r is positive.\nAnswer: r**(191\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**4\/36 + 16*j**3\/3 - 184*j**2\/3 + 178*j. Find m, given that c(m) = 0.\nAnswer: 4, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.65949529 to two dps.\nAnswer: 7.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47614 = -19*p - 7258. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1. Let d(h) = 19*h**2 - 57. Let b(l) = d(l) - 57*g(l). Let o(u) be the first derivative of -u**2\/2 - 8. What is b(o(n))?\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -75d11a (base 16) to base 11\nAnswer: -43a40a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13360290?\nAnswer: 2, 3, 5, 593, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1355853322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95 + 91. What is the tens digit of 540\/8 + (-2)\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.26 + -0.84. Let y = j + 1.1. What is the nearest to 3 in 4, -4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7430.291ml in litres?\nAnswer: 7.430291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -1. Let d = f - 27. Let m be (-9)\/d - (-16)\/(-64). Calculate the highest common divisor of m and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 433589 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -2*m**3\/3 + 5. Let t(c) = 2*c. What is q(t(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -475, -1553, -3639, -7069, -12179, -19305?\nAnswer: -28783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21212692, -21212687, -21212682?\n\"Answer: 5*y - 21212697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -664322 divided by -332161?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 541436\nAnswer: -5\/135359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 7462 = -4*z, 3*s + 9329 = 6*z - z. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 5:10 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 13*q**2 - 13*q - 12. Let o be w(-12). Suppose -5*x - 7 + 57 = o. Let b be -1*1*x\/(-30). What is the smallest value in -2, -1\/12, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**2))**(-36)\/((((p\/(p**(-9)\/p)*p)\/p)\/p*p)\/(p*p*p**(-2\/17)\/p*p)) assuming p is positive.\nAnswer: p**(457\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -1\/45*b**6 + 0*b**4 - 9*b + 1\/60*b**5 + 0*b**2 - 1\/42*b**7 + 0*b**3 + 0. Factor j(h).\nAnswer: -h**3*(h + 1)*(3*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.6 + -0.6. Let n be 2\/(-18)*(0 + -2). Let m = -13 - -11. What is the closest to m in f, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 - g**2 - 10*g - 1. Let f(v) = -16*v**3 - 68*v**2 - 280*v - 4. Let z(n) = -f(n) + 4*y(n). Factor z(b).\nAnswer: 4*b*(b + 6)*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20314 is divided by 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r + 8316 = 39*r. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from fthhhkkfhhkhfff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Let v(g) be the first derivative of 0*g**2 - 3 - 1\/3*g**y + g. Solve v(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 144\/(-160)*(-28)\/(-77). Is -1 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 244444464.\nAnswer: -7\/244444464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440452.5 meters to kilometers.\nAnswer: 440.4525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from {h: 3, d: 13, c: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 12:15 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2364 - -2533. What is the remainder when 318 is divided by h?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*v**3 + 0 + 0*v**3 - 4*v**3 + 6*v**3 + (-2*v**3 + 3*v**3 - 3*v**3)*(-6 + 3 - 6).\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {z: 1, a: 1, m: 2, c: 1, q: 1, l: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.62312941 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.84 - 11. Let w = l + 0.1665. What is w rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*b - 8, -3*b - 26 = -d. Suppose d = -l - 4*w, -l = w + w + 4. Calculate the smallest common multiple of l and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -7167?\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:51 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5 = -2. Let f be 784\/20 - k\/(-15). Let i = f - 27. Calculate the remainder when 47 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 44*v + 126. Determine c(-41).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*t**2 - 22*t**2 + 60*t**2 + 18 + 3 - 12 + t to l*t + d*t**2 + m and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 369861106 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 2. Suppose -32 = r*o - 9*o. Does 10 divide 122\/o + (-2)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 5863 = 28*w. Calculate the least common multiple of 104 and w.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 24*p + 84. What is the hundreds digit of w(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 a when three letters picked without replacement from uagaggplaygp.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 11*i - 12*i - 17 + 34.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*p - 77*p + 316*p - 79*p - 76*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/5 and -80\/743067?\nAnswer: 3715335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**5 + 263*u**4 + 4730*u**3 + 30838*u**2 + 28033*u - 63869 = 0. Calculate u.\nAnswer: -17, -13\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -260 divided by 51\nAnswer: -260\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/20 and 27\/1420.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -0.3 (c) 2\/27 (d) 23 (e) -2\/85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 560\/(-176) - (-2)\/11. What is the common denominator of -61\/120 and l + -3*(-632)\/576?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 680582?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-3)\/(-9))\/(4\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 980570 and 12.\nAnswer: 5883420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k + 5*k - 9*k - 4. Let i be y(7). Solve i = o - 0*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 30714, 4 in descending order.\nAnswer: 30714, 43, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:05 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + sqrt(891) + 0 + sqrt(891) - (3 + 0 + sqrt(891) + sqrt(891))**2).\nAnswer: -3576 - 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -78463 - 18*m + 78463 as z + c*m and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4700000*y. Let m be s(2). What is m rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3313322333 (base 4) to base 3\nAnswer: -1220120222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 5:53 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/86 and 29\/22208?\nAnswer: 954944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 8) + (-1 + -15 - (-9 - -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 + 2 + 1. Solve 0 = s*h - 18 + 26 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 2*y**2 + 19*y + 9. Let s be w(6). Is 44358\/s*((-126)\/12 + 7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124322*s**4 + 70413*s - 1 wrt s.\nAnswer: -1491864*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 665 = 4*r, -5*o + o - 5*r + 532 = 0. Calculate the highest common factor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88184 or 88634?\nAnswer: 88184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 - 75*l - 5 + 369*l + 27*l + 282*l.\nAnswer: -4*l**3 + 603*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 17*b**2 - 10*b + 13. Let d = -54 - -70. What is the units digit of o(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 0, -5, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -188, -8\/21, 1\/4?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002026362331 rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -25*u**2 - 1. Let s be o(-1). Let x be 2\/(-4) + s\/(-4). Let p(z) = 9 + 6*z - 2 - z**2 + 2 - 3. What is p(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 11*q**2 - 2*q - 14. What is u(9)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111000 (base 2) to base 12.\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2 + 2)*(3*t**4 - 4*t**4 + 2*t**4) - 10*t**5 + t**4 - t**4.\nAnswer: -11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.72591 + 624413.5.\nAnswer: 624371.77409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 6. Let j = 168 - q. Is j < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 92, 168, 280, 440?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.360846918 to 4 decimal places.\nAnswer: -17.3608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 42 (b) -0.2 (c) -3\/5 (d) -18 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011011111001 (base 2) in base 13?\nAnswer: 1295c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 20. Let t be m(6). Suppose 4*x - 17 = t*f - 1, 5*x = f + 4. Is x at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.5 - -4. Let g be 6\/28 + (-1)\/2. Let l = 79\/185 + -1\/37. What is the closest to l in -2, g, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 8 - b**2 - 6*b + 14 to the form q*b + c + k*b**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.3 + -5.8. What is the second biggest value in 5, s, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 41208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 259236 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3 + 0.3. Let b = -0.31 - 0.09. Suppose -2 = 5*l - 4*s + 1, -4*l - 21 = 3*s. What is the closest to -0.2 in b, l, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407909356 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/693*-14*6\/(-20)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1613*d. Let y(x) = -17*x + 10. Let k(r) = -10*r + 6. Let c(j) = 5*k(j) - 3*y(j). Determine c(i(q)).\nAnswer: 1613*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.8, -3\/5, 321, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(sqrt(48)\/(sqrt(8)*-1)) - -1*(-2 + sqrt(200))) + 4 + -5)*3.\nAnswer: -9 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -42. Factor -2*g**3 + 3*g**3 + 5*g**2 + 10*g + 4*g**l + 10*g**2.\nAnswer: 5*g*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcz when three letters picked without replacement from zzczzzczzzczczzczzzz.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + 0 + (1 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11*d. Let c(j) = -j. Let z(h) = -6*c(h) + g(h). Let l(i) = -6*i**2. Determine l(z(s)).\nAnswer: -150*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6*-3 + 1960002. Suppose d + r = -3*d. Round d to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3 + 5 = 2*g, g + m - 5 = 0. Suppose -122*f - 543 = -125*f. Let h = f - 181. Solve -g*d = -h*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-4))\/((2 - 8)*(-10)\/40)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (33\/66)\/((-2)\/(-8)). Suppose a*t - 9*t = -441. Calculate the highest common divisor of t and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 0*j**3 + 4*j + 0 + 0*j**2 + 1\/12*j**4. Let y(d) = -2*d. Calculate y(n(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/16 and 60\/(-195264)*-114 + 0.\nAnswer: 5424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 266\/6 - (-2)\/(-6). Suppose 6*d = 2*d + l. Solve 5*q - 4*q + 4*y = 13, -5*q + d = 2*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7379 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 6*o**2 - 43*o + 216. Determine k(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 74\/73, 425, -0.4, -3\/10 in descending order.\nAnswer: 425, 74\/73, -3\/10, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/21 and -49\/363513.\nAnswer: 2544591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 20342 = -4*p - 364, -39944 = -4*j - 4*p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*u**3 + 1 + 0 + 0*u**3 - 136*u**2 to the form z*u**3 + l*u + h + i*u**2 and give i.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.62\nAnswer: -1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4 = -16*z + 13*z, 0 = -l - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.251 and -1598?\nAnswer: 401.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 554444+-219\nAnswer: 554225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/18 and ((-3)\/2)\/(153\/219)?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(-3*v + 2*v - v) + 0*v + v - 3*v - 344*v - 626*v + 659*v + (v + v - 4*v)*(1 - 1 - 4) to the form x + f*v and give f.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2351 + 4425?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -586, -606, -650, -724, -834, -986?\nAnswer: -1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - -6592?\nAnswer: 6606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 771006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 2\/333 (c) -98 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 4) to base 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2\/15 (c) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-1*(-1)\/107) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580419.6 millennia in centuries?\nAnswer: 5804196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhxx when four letters picked without replacement from {h: 3, b: 1, y: 6, x: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.25821 + 0.14179. Which is the biggest value? (a) 0 (b) 0.114 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-6))\/((-21)\/((-189)\/(-6)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 612 = 210. List the prime factors of i.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 8:59 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155 + -155. Suppose p = 5*d - 7*d + 654. List the prime factors of d.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.142 + 0.042. Sort 0.1, 2, x.\nAnswer: x, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -c, 4*l + c - 351 = -4*c. Suppose 5*t + 2*p = 21, -4*p - 1 = -5*t + 2. Suppose -295 = -4*y - t*n + l, 5*y - 3*n = 520. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5\/2*i**3 - 1\/4*i**4 + 0*i - 9\/4*i**2 + 0 = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 10*h + 10. Let w(x) = -x - 5. Let o be w(-7). Let j = 409 + -399. Suppose -28 + j = -o*i. What is r(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3 + 11. Let d = 14 - 14. Let v be (-55)\/22*(-2 - d). Solve -z*k - p + v = 2*p, 3*k + p = -3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 + 390*n + 1169. Calculate d(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696 + 582 - 28 = -50*b for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 3*n**3 + 4*n**3 + 4*n - 6*n + 0*n**3 + 2. Let u be k(3). Let h be -2 - (4\/u + -2). Which is the biggest value? (a) h (b) -1 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(24\/6)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/8 and 89\/4062.\nAnswer: 16248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -274926044*k**5 + 775*k**2 + 167*k - 10 wrt k?\nAnswer: -16495562640*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:23 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8188 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 9:50 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**(-1))*o*o*o*o**22 assuming o is positive.\nAnswer: o**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1943, 6, -0.03, 1\/5?\nAnswer: 1943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 + -165. Let m = -81 - -76. What is the second smallest value in 4, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2)*4)\/(76\/152). What is the third derivative of 16*d**3 + z*d**3 + 12*d**2 - 8*d**3 - 3 wrt d?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6 = g. Suppose -96*w - 2541 = -107*w. Suppose -2*x - w = -3*f, f + 2*x + 73 = g*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1140\/40 - 27)\/(3\/8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**3 + r. Let c(g) = g**3 + 9*g**2 - 3. Let a be c(-9). Let q = a - -12. Calculate the lowest common multiple of j(-1) and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 11 (b) 3 (c) 195\/7 (d) -0.2 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9\/o*(o*(o\/(o*(o\/o**(9\/5))\/o))\/o)\/o)**(2\/43)*(o*(o\/(o\/o**(2\/15)))\/o*o**(1\/5))**(2\/7) assuming o is positive.\nAnswer: o**(2278\/4515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/7 - 8968*g**3\/7 - 15079692*g**2\/7 - 11269556488*g\/7 - 3158293205762\/7.\nAnswer: -2*(g + 1121)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 25687.\nAnswer: 308244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + 6 - 9)*(-k**3 - k**3 - 2*k**3).\nAnswer: 12*k**4 + 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 34. Let o be v(0). Suppose -2*k + 1 = -k + p, 4*k = 2*p + o. Let u(z) = z**2 - 8*z + 5. Determine u(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2464? (a) 5 (b) -1 (c) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.720742 grams to tonnes.\nAnswer: 0.000007720742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 1.29362?\nAnswer: -5.17448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178 - 184. Which is the third smallest value? (a) k (b) -0.8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p + 4 = 0. Factor 2 - 7*r - 2*r**p + 2*r**2 + 0*r**2 + 5*r**2.\nAnswer: (r - 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 - (-21)\/6. Suppose k*v + 4*h = 0, 4*h = -v - h - 20. Suppose 0*o = -v*o. Solve -5*s + 2*s + 4*g - 4 = o, -5*s - g = 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194404 and 3827558.\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -469, -464, -457, -448?\n\"Answer: i**2 + 2*i - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 7*k**2 + 6*k - 2. Let u be b(-6). Let r = -22 + 25. Put -0.5, u, r, 2 in descending order.\nAnswer: r, 2, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h*o**4 + 13*h*o**2 + 14*h*o - h - 2*o wrt o?\nAnswer: 36*h*o**2 + 26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 53*d**2 - 408*d + 3180. Give b(59).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, 12, 23, 38, 57?\n\"Answer: 2*i**2 + i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y - 4. What is p(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410412850.\nAnswer: 2, 5, 59, 139123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17009 - 17014. Which is the biggest value? (a) p (b) -16 (c) -1 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, 1\/5, -6\/11 in increasing order.\nAnswer: -6\/11, 2\/25, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2. Let i(x) be the third derivative of 0*x - 2\/15*x**5 + 0*x**3 + 0 + 0*x**4 + 14*x**2. Give i(n(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4387424930?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 9:33 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 826 and 6804.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3349198.\nAnswer: 2, 1674599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgyhkwowoywyywwy. What is prob of picking 1 k, 1 w, and 1 h?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -416*k**2 - 4*k + 2*k + 2*k + (-4 + 4 - 2*k)*(2*k + k - 2*k) as p + o*k**2 + h*k and give o.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 7462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 63146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7364 (base 11) to base 3.\nAnswer: 111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86.9 + -55. Let s = -32 + z. Which is smaller: -13 or s?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y. Let b(g) be the second derivative of -17*g**4\/4 + 27*g. Determine b(w(o)).\nAnswer: -204*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 9) to base 3.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -937 + 662. Let t = -273 - i. Let n(v) = 3*v**2 + 2*v. Let g(f) = -7*f**2 - 5*f. Determine t*g(h) + 5*n(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/149 + -461\/1043. Suppose -5*y + 246 = -4*l, 3*l + 197 = 4*y - 0*l. Let f be 8\/36 + y\/18. What is the third biggest value in h, 2, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s + 6. Let z be o(-7). Let d = z - 236\/7. Let g = -1.8 + -0.2. Which is the biggest value? (a) g (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.8 - -3.3. What is the third smallest value in 19, -4, i?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142046 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 226827626 to the nearest integer?\nAnswer: 15061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114104 + -14?\nAnswer: -114122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -14*v**3 - 9*v - 22. Let j be m(5). Let q = 214 + j. What is q rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1042922014 from 470.9.\nAnswer: -1042921543.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178541 - 178541 + 16*u**2.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.070799752\nAnswer: 0.035399876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1387 + -1384. Solve -2\/15*b**t - 4\/15 + 2\/15*b**4 + 2\/3*b - 2\/5*b**2 = 0 for b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9437235 divided by -7265?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 360*s - 357*s - 12813 = 0, 2*s + 2 = 0. What are the prime factors of t?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/660 and -119\/440.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*c - 9*c + 90 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/6 - 2\/4. Suppose 5*p + j = -1, -u*p + 2*j = -10*p + 3. Calculate the smallest common multiple of 22 and (-42)\/9*(p + -2).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 29, -0.1, -5, 1\/3, -23\/6, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*t**4 - t**3 + 198*t**2 - 21546?\nAnswer: 104*t**3 - 3*t**2 + 396*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 3*b - 6*b - 8*b - 3*b**2.\nAnswer: -4*b**2 - 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**3\/3 - b**2\/2 - 1. Let t(u) = 4*u**2 + 22*u - 6. Let y(c) = -6*p(c) + t(c). Does 20 divide y(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 117394523.956 - 23.6\nAnswer: 117394500.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5042524 (base 7) to base 6.\nAnswer: 20500114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 5*v + v)*(6 + 12 - 15)*(-2*v**2 + 3*v - 3*v).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 12*p + 16. Calculate o(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 24 = 5*o, -2*m - 4 = -m. Suppose 9*r + 10*r = 9*r + 1500. Calculate the remainder when r is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53952402905929 + 53952400926336.24600156. Let j = 1979501.754 + h. Let o = j + 91. What is o rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 294 and 41307?\nAnswer: 82614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14063 is divided by 3513.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70475510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.168 + -0.057. Let w = -5.111 + i. Which is the third smallest value? (a) w (b) 1 (c) -6 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Let u be ((-252)\/(-15))\/f*5. Suppose 2 = 5*j - 5*p - u, 0 = 4*j - 3*p - 21. Solve -2*c - 12 = 4*g + 10, -4*g = -j*c - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 65 - 131 + 61 + 15*j. Let w(c) = 93*c - 24. Let y(d) = 61*d - 16. Let z(l) = 5*w(l) - 8*y(l). Calculate -8*f(b) - 5*z(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/2))**15*((q**(17\/3)\/q)\/q)\/(q*q*q**(-11)*q) assuming q is positive.\nAnswer: q**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z + 0*z)*(-3*z + 2*z + 4*z)*(5 + 41 + 4).\nAnswer: 150*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1405 * 1.\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3642792325 = -31*r - 1217693325. What is r rounded to the nearest 100000?\nAnswer: 78200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361700876 to the power of 1\/2, to the nearest integer?\nAnswer: 19018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16085, -16116, -16161, -16226, -16317, -16440, -16601?\n\"Answer: -y**3 - y**2 - 21*y - 16062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.2, 0.117, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.3 - 8. Let s = 1057 + -13739\/13. Which is the second biggest value? (a) s (b) y (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12932 and 58859998?\nAnswer: 6466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0 = 72. Let i = -30 - j. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/325 - 248\/310?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 1544991.\nAnswer: 13904919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**4\/2 - 4*c**3\/3 - 2*c**2 + c + 14. What is the remainder when 35 is divided by f(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282541 and 11403.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -30 - 26. Let t(n) = 8*n**2 - 18*n - 3. Let l(d) = 7*d**2 - 17*d - 3. Let a(x) = u*l(x) + 6*t(x). Let w be a(11). Solve -3*k + 3 + w = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac (base 13) to base 4.\nAnswer: -2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -18 - (0 + (0 - 4)). Let y be a\/(-3) - 4\/6. Suppose -y*x + 5*x = -3*j + 32, -15 = -3*x. Solve -4*k = 3*r - 9, -4*k = r - j - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*a = 2*a + 50, 4*a - 8 = 0. Let f = i - -16. Solve 0 = 3*d - f*d - 4*r - 12, -4*r - 16 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -1.1. Let g be (1 - 1) + 0\/(-2). Suppose 0 = x - 24*x - 7*x - 90. Which is the closest to g? (a) -3\/4 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -27334, -22 in decreasing order.\nAnswer: 0.8, -22, -27334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*k**2 + 42 - 41 + 0*k**2)*(0*k - 4*k + k) to the form d + g*k + x*k**3 + m*k**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5 = -l, -25*l - 145 = -1856*f + 1858*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 5*v**2 - 7*v - 10. Let c be k(-3). Suppose 3*y = b + 19, c + 3 = 4*y - 3*b. Solve 0*u + 4 = 2*s - y*u, -u + 7 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o. Let d(k) = -k - 10 + 2 + 13. Let q be d(3). Let y(w) = 13*w**2 - 12*w**q - 9*w**2. What is y(l(x))?\nAnswer: -128*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12853 + -22943. Round f to the nearest one hundred.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggwggdggg. Give prob of picking 1 d and 2 g.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -463, -690, -925, -1168, -1419?\nAnswer: -1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*r = -10*r - 14, -5*i + 14 = -r. Suppose -5*s - 228 = -828. Let d be i\/16 - (-585)\/s. Solve 4*w + 20 = -d*l, 2*w + 4*l + 5 = -5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1424*o**3 - o**2 + 9*o - 9. Is x(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26\/61 in 0.4, -7, 3\/8, 4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-9)\/(l**(3\/5)\/l)*l**(-2\/9)\/(l*l\/((l*l**8)\/l)*l) assuming l is positive.\nAnswer: l**(-172\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -15. Calculate the remainder when f is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*m**4*o + m*o**2 - 22*o**2 with respect to m.\nAnswer: -48*m**3*o + o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**3 + 11*d**2 + 214*d + 91. Determine f(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*o - 3*l, -164*o + 167*o - 22 = -2*l for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 15*i**2 + 17*i - 50. Suppose 0 = -860*r + 865*r - 70. What is the hundreds digit of v(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Suppose 4*h + 2*u = 22, -24 = -5*h - 3*u + 4*u. Let o be 192\/240*h\/26. Which is the closest to 1\/7? (a) o (b) l (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 16. Suppose -636 = -26*p - 80*p. Give a(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - 2) + (137 + -144 - (-1 - 13))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3597 = -4*f + 2*a - a, -f + 3*a + 891 = 0. Is 30 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*x + 3)*(-1 + 3 - 3) - 5*x + x + 2*x + (4*x - 5*x + 2*x)*(2 + 3 - 7) - 3*x + 4*x - 3*x - 117 + 117 + 69*x.\nAnswer: 61*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 15*c - 457*c**2 - 4.\nAnswer: -457*c**2 - 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 299417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -81 + -268?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/390)\/(-2*3\/120*-14)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 39*a - 87*a = -5304 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((70\/21)\/1)\/(2\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkt when three letters picked without replacement from ttkqukqv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-11))**21*(v**(2\/3))**(-1\/16) assuming v is positive.\nAnswer: v**(-5041\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 122 and 978029.\nAnswer: 119319538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2958 and 41\/14.\nAnswer: 20706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 551151071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35, -95, -313, -619, -1013, -1495, -2065?\n\"Answer: -44*t**2 + 2*t + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4) + 36\/(-24). Solve n = -4*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 175\/20*216\/1350?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*i**4 + 24*i**4 + 24*i**4 + (-i**4 + 117*i**3 + 114*i**3 - 243*i**3)*(0 + 0 + 1) to a*i**3 + u + x*i**2 + p*i**4 + d*i and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 5934*v + 2934363.\nAnswer: 3*(v - 989)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1854 + -1845 - (-3 - (-18 - 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 65*z = 693 - 153 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2 - 1 - 1 + 0 + (5 - 3 - 1)*(-3 - 2 + 3))*(-390 + 767 - 357 + 2*c**5).\nAnswer: -12*c**5 - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 641 (b) -8\/9 (c) -1.1 (d) 0 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - -3*2\/(-3). Let s(i) = 2 + i - d. Let a(k) be the first derivative of -k**2 - 18. What is s(a(h))?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -8 (c) -1 (d) -0.744\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -2*k + 5*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -211, -790, -1755, -3106, -4843?\n\"Answer: -193*u**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 - -1. Let l(t) = t**3 - 11*t**2 + 15*t - 26. Let g be l(8). Let j be ((-26)\/(-16) - 0) + 147\/g. Which is the smallest value? (a) j (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = 5*j. What is the units digit of (4\/8)\/(j\/(-112))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifteen quarters of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2403220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g - 15*g + 6*g)*(7*g**3 + 0*g**3 + 4*g**3) + (0*g**2 + 3*g**2 - 2*g**2)*(g**2 + 3*g - 3*g) + 0*g**4 + 3*g**4 + 0*g**4.\nAnswer: 26*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 303 = -5*c + 29, 2*c + 2*n = 158. Solve 86*b = c*b - 48 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-6) + 42\/(-15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 7*l - 16. Let b be d(-3). What is the tens digit of 262\/8 - b\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a + 41. Determine b(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*b**2 + 261*b**2 - 112*b**2 - 81*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15023*0.1.\nAnswer: -1502.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 2\/3*b**3 - 1\/3*b**4 - 12*b + 0*b**2 + 0. Factor n(l).\nAnswer: -4*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 4*p - 4*p - 3*p + (p + 2*p - p)*(-3 + 1 + 1).\nAnswer: -5*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 4 - 17 = 0. What is the smallest common multiple of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 29. Let y(w) = -15. What is 3*x(q) - 5*y(q)?\nAnswer: 3*q - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 17 = m, -j - j = 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - -67 - (3 + (-3 - -1 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -834*l**2 + 47*l - 47*l.\nAnswer: -834*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/5 - (-81)\/(-135). Put h, 0, -14\/9, -5 in decreasing order.\nAnswer: 0, h, -14\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10486, -13979, -19786, -27895, -38294, -50971, -65914, -83111?\nAnswer: -102550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*j - 4*j. Are 10 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1637\/9 + -181. Is c <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(32\/460) + 3\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 8. What is the units digit of (-20)\/(-12) - 1\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157 and 31400.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34348 + 61789. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -280794*k**3*r**4 + 132*k**3*r**2 - 6*k**2*r**2 - 35*k**2 wrt r.\nAnswer: -6739056*k**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 + 3*i + 1. What are the prime factors of j(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.7922 - -4?\nAnswer: 13.7922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**2 - 29*o + 61. Calculate the remainder when x(10) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*r - 54*r = -25, -3*j + 5*r = -31174. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 6\/13 (b) 6\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2)**19\/(((v\/(v**10*v))\/v)\/v*v*v*v**10))**(-11\/4) assuming v is positive.\nAnswer: v**(-209\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 3:52 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -105. Let b = -53.999865 - r. Round b to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o + 1. Let m(c) = -c**2. Calculate f(m(r)).\nAnswer: 4*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 232*w - 161. Give k(-1).\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-6) - -2)*2. Let m(t) = 1 - 2*t + 0 + 0. Let y be m(s). Solve 7*i = y*k + 4*i, k = -5*i - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 1:38 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (0 + 100\/(-92))) + -296*34\/(-1173)\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-14))\/((-5)\/10). What is the closest to 3 in 5\/6, h, -0.5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -16*z - 1. Let w(k) = 447*k. What is w(u(x))?\nAnswer: -7152*x - 447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2810 = b, -49*c + 52*c = 15. Is 45 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -403.5155 to one dp.\nAnswer: -403.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 506394.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.5 - 7. Let d = -445 - -263. Let h = d - -1276\/7. Which is the nearest to -0.1? (a) h (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w + 1\/50*w**6 - 23\/100*w**5 - 11 + 8\/15*w**3 + 0*w**2 + 2\/3*w**4. Let p(a) = 0. What is a?\nAnswer: -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 962?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**3\/6 - 3*y**2 + 2*y. Let s be q(-6). Suppose p + s*p = 4. Calculate the highest common factor of p and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 3*r**3 + r**3)*(0*r + r - 3*r - 1 + 2*r**2).\nAnswer: 6*r**5 - 6*r**4 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 10 = 4*k, -2*k + 0*k = 8. Let i = p + 7. Suppose 3*u = i*u. Solve b = -u*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 151*m**2 - 264*m + 5763. Let i be o(21). What is the greatest common factor of i and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-9) - -1 - 12. Let m = q + 188\/15. Which is the smallest value? (a) m (b) 0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Let b be (s + 38\/4)*232000. What is b rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.042*-0.0424.\nAnswer: 0.0017808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 21.86. Let n = 0.26 - i. What is the nearest to 8\/5 in 0.5, n, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1173313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -273921\/16 bigger than -17119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*u**4 - 5*g*u**3 - 3*g*u**2 + 10*g + 94211*u**4 - u**3 + 7*u**2 + 225*u - 1 wrt u.\nAnswer: -48*g*u - 30*g + 2261064*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5244*m**2 - 26212*m**2 + 5242*m**2 + 5244*m**2 + 5240*m**2 + 5241*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 14. Let s = 88.2 - 76. Let q = m - s. Which is the smallest value? (a) q (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/41876 and 107\/20.\nAnswer: 209380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6 = 54*j - 52*j, 3*p = -3*j + 12. Let u(y) be the third derivative of 7\/8*y**4 + 0*y**3 + 0*y + 9*y**j + 0. Let t(x) = -2*x**2. Give u(t(r)).\nAnswer: -42*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3370768*n**2 - 4751822*n?\nAnswer: -6741536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3 + 0)*15. Let d(h) = 3*h. Let y be d(3). Let v = y + m. Solve -20 = -v*q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 63*t**4\/4 + t**3\/3 - t**2\/2 - t - 2639. Calculate n(1).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/(40\/72*(-5)\/(-25))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 66. Suppose -4*d = -d + z*c + 8, 2*c + 10 = 0. Suppose 0 = -5*j + 7*j - d. Solve -2*p + j - 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 323 - 285. Is b != 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.81852ml to litres.\nAnswer: 0.09681852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8121 - -8121.2. Which is the fourth biggest value? (a) -2\/7 (b) -2\/5 (c) -5 (d) 0.43 (e) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -12, 3\/31, 2\/13, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 3*b + 2*b)*(b**2 - 29 - 6*b + 6*b)*(39 + 77 + 65) as n + g*b**2 + f*b**3 + p*b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -5 - (-14 - (-12 + 11) - -1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r + 11. Determine m(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-1)\/n*n))**(9\/11)\/((n**(-2\/11)\/n)\/n**(-5\/2)) assuming n is positive.\nAnswer: 1\/sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((((-84)\/12)\/1)\/2)\/((-9)\/(-2))\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eefe when four letters picked without replacement from {f: 2, e: 7}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 6*c**2 - 2*c. Determine m(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2. Let s(g) = 4*g**2 - 3*g. Let m be 1\/((-2*2\/(-8))\/(-3)). Let j(o) = -3*o**2 + 2*o. Let l(t) = m*j(t) - 4*s(t). What is l(u(r))?\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482337 to the power of 1\/2, to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 2*a = -40. Let s(v) = -4*v**3 - 3*v**2 - 5*v - 3. Let t(b) = -5*b**3 - 4*b**2 - 6*b - 3. Give a*t(q) + 6*s(q).\nAnswer: q**3 + 2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 4 + 1)*(-4 + 3 - 1) + 2 - 6 + 0)*(2*t**3 - 2*t - 4*t**3 + 0*t**3 + (2 + 18 - 2)*(t**3 + 0*t**3 - 4*t**3)).\nAnswer: 896*t**3 + 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2729882 and 398.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32707 + 4231 = 1606*z for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 563458.4 litres in millilitres?\nAnswer: 563458400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (5 + (5 + sqrt(76)*4 + sqrt(76) - sqrt(76)) - (5 + 3 + sqrt(76) + -5)))**2.\nAnswer: -2800 - 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 16143*i**2 + 20129*i + 17. Let a(q) = -2017*q**2 - 2516*q - 2. Let j(x) = 17*a(x) + 2*f(x). What is the second derivative of j(l) wrt l?\nAnswer: -4006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 4:08 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = 35. Let a = 22 - 10. Let d = k + a. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + -4. Is (-1826)\/(-6) - s\/45 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2820 = 41*n - 46*n. Suppose -4*k = 3*x - n, 0 = 4*k - 3*x - 0*x - 588. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h*h\/((h*h*h**(2\/9)\/h)\/h))\/h))**32\/(h**(-4))**(-3\/2))**(1\/37) assuming h is positive.\nAnswer: h**(298\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 235917.5 millennia?\nAnswer: 2359175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 - 6*p + 2*p**2 + 3*p in the form x*p + i + u*p**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21809 + -21814. Let r = 2\/9 + -4\/45. What is the closest to y in 0.3, r, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 7:50 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**5\/20 + 30*x**2. Let r(t) = 7*t**2. Give r(k(g)).\nAnswer: 63*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -24, -5, 32, 93?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16526526 and 5.\nAnswer: -0.8263263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1347, -5569, -12607, -22461, -35131, -50617?\n\"Answer: -1408*p**2 + 2*p + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12881, 14047, 15213, 16379, 17545?\nAnswer: 18711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 + 422*v - 10522. What is c(65)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:17 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33934963 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -2) + (41 - -22) + -30\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5077*c**3 - 2538*c**3 - 2545*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*h**2 - 1 + (-4 - 2 + 5)*(h**2 + 2*h**2 - h**2) to the form o*h**2 + z*h + w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (424\/12)\/(2\/3) is divided by 3\/2 + 390\/52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.054 - -2.246. Let x = -5 - -3. Let n = r + x. Which is the second biggest value? (a) n (b) 0.1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 = 0, q = 2*h - 92 - 47. Is h a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 29*b**2 + 103*b - 741. What is t(-33)?\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2685506.01 to the nearest 1000.\nAnswer: -2686000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 0.3, 4\/5, 3, -1654, -3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 513*r - 2. Let n(y) = -1024*y + 3. Calculate -3*n(c) - 5*w(c).\nAnswer: 507*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -53.93 != 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*a**3 + 4*a**2*y + 35*a**2 - 3*a*y - 59941*y wrt a.\nAnswer: 30*a**2 + 8*a*y + 70*a - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4 + v - 4 + 1. Calculate c(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1210, -2397, -3584?\nAnswer: -4771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/13))**18*(u*u**(-4))**(-2\/23))**(-2\/15) assuming u is positive.\nAnswer: u**(100\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3052565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 49*o + 28. Let b be h(-24). Let n(l) = 18*l - b*l - 2 - 12*l. Determine n(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30780170 (base 9) to base 4\nAnswer: 320200322202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 4:19 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 132?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + 14. Let w = 26 - c. Solve 13 - w = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35304*z**4 - 4767*z - 1.\nAnswer: 423648*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 42*m + 35*m - 89*m. Let i(q) = 8*q. Give i(x(j)).\nAnswer: -96*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2131*k + 714 - 710*k - 714 + 2*k**2 - 709*k - 712*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 6. Suppose -1 + 3 = -2*w + z, -13 = 3*w - 4*z. Let u(h) = -w + 4 + 2 - h. What is 3*r(o) + 4*u(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 35975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3248891, 6497786, 9746683, 12995582, 16244483, 19493386?\n\"Answer: n**2 + 3248892*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - 1 - (-7 + 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 1 - 1)*(-8*x - 7*x + 4*x)*(-29*x + 11 - 11).\nAnswer: 638*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 4 + 4 + 1 - 3*t - 1 + (3 - 1 - 1)*(0*t + t - 3*t) - t - 11*t + 5*t as v + h*t and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 - -28. Calculate the greatest common factor of t and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 12*z - 11. Give j(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3407, 13628, 30635, 54410, 84935, 122192, 166163, 216830?\nAnswer: 274175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 29, 4, -2, -2\/7, 16746?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-15820)*-113)\/((-64)\/(-7)).\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmueefphh. What is prob of sequence ep?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -7. Let v = -3 - d. Let w be 2\/(-17) + (-8)\/(-68). Solve w = -2*z + v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 times 61?\nAnswer: 13969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/772 + -1559\/3860. What is the third smallest value in h, 0.4, 2, 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 40 - 22 + 3 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -8*z - 35. Solve z*g = 3*r + 9, 0 = r - 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*l = -4533 + 3429 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22\/7 in 0.021, 2\/3, -594, 20, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 512\/2177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2 - 687*p - 85412 = 0.\nAnswer: -524, -163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + 3*m)*(-2 + 5 - 2)*(-4*m + 5*m - 9*m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 160\/(-60) + (-1510)\/(-6). Calculate the greatest common factor of 581 and o.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.704642 millimeters to micrometers.\nAnswer: 7704.642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)\/(r*r*r**(1\/14)*r))\/(r**(-1\/7))**2 assuming r is positive.\nAnswer: r**(-145\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3491 plus -3627107.508?\nAnswer: -3630598.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*a**2 + 182*a**2 + 94*a**2 - 97*a**2.\nAnswer: 263*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 805 and 210.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1811.382 - -1809. What is p rounded to two decimal places?\nAnswer: -2.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**3 + 8. Suppose -9*y = -6*y + 18. Let l(r) = -6*r**3 - r**2 + 8. Let k(q) = y*l(q) + 7*p(q). What is k(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 - 80.2. Let r = -2.8 + l. Which is the nearest to 5\/2? (a) 2\/9 (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**8\/10080 + b**5\/15 + 3*b**2. Let h(q) be the third derivative of s(q). Let w(a) = -7*a. Calculate w(h(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s - 21 = 13*s - 192. Are s and -29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 5*i + 5. Let l be a(5). Let v = -2 + l. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45106.00021277 - -45106. What is y rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**4 + 6*u**4 - 5*u**4)*(-685 - 2 + 8 - 125) + (0 + 0 + 1)*(-7*u**4 + u**2 - u**2) to v + t*u**2 + x*u + b*u**3 + l*u**4 and give l.\nAnswer: 797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 1, -16, -51, -110, -199, -324?\n\"Answer: -m**3 + 2*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10107 - 10106.90866. Round b to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 187 - 72 - 15*l - 58 - 72. What are the prime factors of c(-19)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -989\nAnswer: -5\/989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*q - q - 3*q)*(10 + 30 + 1)*(1 - 2 + 3) as b*q + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41772.99ml?\nAnswer: 41.77299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b**5 + 3*b**5 - 3*b**5)*(-4 + 5 + 1) + 0*b**3 + 2*b**5 + 0*b**3 - 36*b**5 - 41*b**5 + 105*b**5)*(1 + 0 + 1).\nAnswer: 64*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-4)\/2) + 160. Suppose 0 = -5*t + 2*o + 102 - 467, 2*t - 4*o = -k. Put 4, t, 1 in decreasing order.\nAnswer: 4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 660?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143*v + 143*v - 17*v**3)*(-2*v + 0*v + 0*v)*(1 - 3 + 3) + 2*v**4 - 1 + 1.\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 55 = 23 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*d + 16. Suppose 18 = 3*k + k + 2*s, -33 = -4*k - 5*s. Solve -k*q - q = -d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/30 and (-8)\/(-20) + -1 - 9736\/(-12960).\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecece. Give prob of sequence eecc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 112\/((-12)\/(-3)). Suppose -z = -5*k - 0*l + 2*l, 5*l = -4*k + 34. Calculate the greatest common factor of k and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h - 15. Let m(v) = 13*v - 29. Let b be (-198)\/(-27)*(-6)\/(-4). Let w(g) = b*t(g) - 6*m(g). What is the tens digit of w(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4900 and 1080?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (126 - 126 - (0 - 1))\/(2\/6). Let y(w) = -w. Let q(j) = -j - 7. Calculate n*y(m) - q(m).\nAnswer: -2*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*s + s + 0*s + s in the form b + a*s and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1768, -7041, -15800, -28045, -43776, -62993?\n\"Answer: -1743*t**2 - 44*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 1. Let z be x(-3). Let w be 6\/(-3) + 0 + z. Solve -2*f = -w*i - 2*i - 8, 4*i - f + 10 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3152 is divided by 304?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -64. Solve -z + 11 = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 6:38 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = b + 7 + 6, 5*b + 10 = 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0411825 millilitres to litres.\nAnswer: 0.0000411825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h + 26509 - 26509. Let t(z) = 21*z + 1. Determine 7*g(n) + 2*t(n).\nAnswer: -7*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r**2 - 5*r + 14. Suppose 0 = 4*u - 16. Let m(d) = 7 - 3*d + 2*d - d + u*d**2. Let b(i) = 2*k(i) - 5*m(i). What is the derivative of b(y) wrt y?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*z - 129 + 64 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5180 divided by 5180?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 101*c**2 + 314*c + 1242. Let a be q(-4). Which is bigger: 1600 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -92 and -0.3621027777.\nAnswer: -92.3621027777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x**3 + 0*x**3 + x**3)*(4*x + 3 - 3) + (437 - x**2 - 437)*(-x**2 + x - x) as a*x**3 + u*x**2 + t + n*x + f*x**4 and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/3)\/((-18522)\/(-31752)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 678 and 1921?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9. Suppose 2*l - 122 = -5*p, -4*p + w*l + 97 = l. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1344\/(-1600) - 1*-1. Which is the fourth smallest value? (a) 5 (b) l (c) 2\/15 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywyqdqlqyqymq. What is prob of sequence qwm?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0162 + -0.2998. Let o = 0.3162002 + s. What is o rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -72, -129, -166, -159?\n\"Answer: 4*m**3 - 26*m**2 - 3*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 20*l - 39. Suppose 6*r = r - 85. Let u(w) = -7*w + 13. Let f(d) = r*u(d) - 6*h(d). Calculate the remainder when 20 is divided by f(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n + 20 = 0. Let u = 69 + -25. What is the highest common divisor of n and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 + 37*m - 1. Give h(11).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*b - 33, -s + 7 = -3*b + 2*b. Let l = -9 + s. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2596 - 5.2596. Which is greater: b or -1365?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 11, 33, 2 in descending order.\nAnswer: 33, 11, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 19*d. Let j(p) = -3*p**2 - 1705 + 1705. Determine j(i(x)).\nAnswer: -1083*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = -4*z - 14*b + 29*b - 13, -3*z - 9*b - 9*b = 2*z + 38 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r + 68. Let p be f(-13). Let o(y) = 7*y. Let h(v) = -7*v. What is p*o(s) + 4*h(s)?\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2610328.733 - -0.15\nAnswer: 2610328.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Put 36, -22, 0, 1, 1658, 5 in decreasing order.\nAnswer: 1658, 36, 5, 1, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 166.\nAnswer: 165.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1106*i**3 + 1112*i**3 - 3335*i**3 + 1115*i**3 - 77*i**2 + 399*i**2.\nAnswer: -2*i**3 + 322*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 35. Let u = -0.84 - 17.16. Let z = l - u. Sort z, 4\/7, -1\/10, -3 in increasing order.\nAnswer: -3, z, -1\/10, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {k: 2, c: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t + 44*t**2 + 12*t**4 + 4*t**2 + 15*t**3 - 33*t**4 + 7*t.\nAnswer: -3*t*(t - 2)*(t + 1)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1. Let x(w) = -w + 110 - 212 + 103. Suppose -10 - 13 = 5*c + 3*z, 17 = -3*c - 5*z. Give c*l(q) + x(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 25, 42, 65, 94, 129, 170?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -3*d**5\/4 - d**4\/12 + d**2\/2 - 5*d. Let m be j(-1). Solve t + 2*n = 6*t + m, 4*n = 4*t + 24 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 1. Let p be (-90)\/y - 2\/(-14). Let k = p + -10. Solve 2*z + k*z = -20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-6 + 4) - 3 - -15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0374647 to 3 dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153480 and 20295172?\nAnswer: 5116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 5, -2, -102 in descending order.\nAnswer: 5, 2, -1, -2, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 6, l: 1, u: 2, x: 1, b: 5, o: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710344741?\nAnswer: 347, 443, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251773037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13725668, -13725666, -13725664?\nAnswer: -13725662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 267*h - 29349. What is l(110)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 9*t - 41. Give f(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 6:24 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 923563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -1. Let v = 0.7092 + 0.3908. Are v and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1670 - -2962. What are the prime factors of b?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Suppose -2*f + r + 0 = 0. Let i(g) = 15*g**2 - g. What is the tens digit of i(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 87*u - 253. What is o(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - n**3 + n**3 - n**5 + (0*n**3 - n**3 + 3*n**3)*(0*n**2 + 3*n**2 - n**2) + 2*n**5 - 2*n**2 + 2*n**2 + 2*n - 2*n**5 - 2*n - 2*n**5 + 2*n**5 - n**5.\nAnswer: 2*n**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*f**6 - 456377*f**5 + 2607716*f**2 wrt f?\nAnswer: -5280*f**3 - 27382620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15499*d = 15510*d - 1980. What is the remainder when d is divided by 56?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**2 + 46*t + 144. Calculate x(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2244731.\nAnswer: 17, 23, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t**3 - 21*t**2 + 21*t. Let v(a) = 2*a**3 - 5*a**2 + 5*a. Let h be (5 - (7 - -9))\/(-1*1). Suppose -47 = -h*i + 8. What is i*p(r) - 21*v(r)?\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -10.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/(-15)*9\/(-5). Suppose 3*b = -2*w - 2*b + 40, 5*w - j*b - 69 = 0. Suppose 120 = 45*r - 5*r. Solve 0 = -5*g + 3*y + w, 4*y - 3*y = -r*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 4 + 13)*(-x**2 + 0*x**2 + 2*x**2).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 5, -19, -11, -717, -2 in descending order.\nAnswer: 5, 3, -1, -2, -11, -19, -717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/32 and 97\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/4, -23, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3 + 5013*q**2 + 12838026*q + 102381840 = 0. What is q?\nAnswer: -1390, -8, 3069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 5*p**2 + 2*p - 3. Suppose -2*r - 3*q = 2, 3*q + 4 = 3*r + 22. Calculate o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b**2 + 10*b**2 + 2*b - 2*b - 1537.\nAnswer: 40*b**2 - 1537","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -182805179 and 0.0394.\nAnswer: -182805178.9606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 2*v**2 + 6*v + 2. What is r(-4)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231416593?\nAnswer: 23, 67, 263, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p + 5*p - 2*p - 2*p + p**2. Let d(g) = -g**2 + 4*g. Give 4*c(m) + 3*d(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 2*s - 1. Let l = 24 - 26. Let j be y(l). Solve n = j*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 4*y**2 + 18*y - 31. Let o be k(6). Solve l + l - o*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*k*r**4 + 2*k*r - 6958*k + 14*r**4 wrt r.\nAnswer: -104*k*r**3 + 2*k + 56*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.189 - -5.189. Put p, 1\/2, 5\/3 in decreasing order.\nAnswer: p, 5\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 14. Suppose -5*q + 411*a - 20 = 412*a, 3*q - 1 = 2*a. Sort -4, -5, c, q in ascending order.\nAnswer: -5, -4, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -147.\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1107*h - 8838. Give c(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 428381300 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*c = 138*c + 36043. Suppose 5 - 14 = 3*h, -c = -g - 3*h. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17111106 divided by 9.\nAnswer: -1901234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 135 = 0. Let a = -25 + w. Suppose -93 = -a*g + 37. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulsslclqqsscuslsq. What is prob of picking 2 c, 1 q, and 1 s?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(771*p + 171 + 348 - 775*p) as a*p + n and give n.\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 1835 + -1811. Calculate the lowest common multiple of 132 and n.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0846805 centuries in millennia?\nAnswer: 0.00846805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*j + 2*j - 3*j)*(120 - 69 - 165 - 174) as i + l*j and give l.\nAnswer: 2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*o + 319*o + 319*o - 1713*o + 310*o + 345*o.\nAnswer: -79*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let y(c) = -78*c - 1. Give u(y(r)).\nAnswer: -78*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 12*i - 15. Let b be w(-10). Suppose 2*o - 172 = -5*y + 98, -b*o + 2*y + 617 = 0. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -24.\nAnswer: -24, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/6 - -41\/30. Let r = -28 + -52. Let y be 1\/(-4) - (-12)\/r. Which is the closest to y? (a) h (b) 1\/6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -28. Suppose p*r = 7*r - 168. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 3*h**2 + 2*h - 1. Let g be n(-2). Let v = g + 1. Suppose u + v*u + 3 = 0. Sort 4, u, -2\/9 in decreasing order.\nAnswer: 4, -2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - s**2 - 2*s**2 + (-3*s + 0*s + 4*s)*(-s - 2*s + 4*s) + 0*s**2 + s**2 - 3*s**2 + (0*s**2 + s**2 + s**2)*(581 + 303 + 154).\nAnswer: 2074*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -5. Let z be (1 - l)*12\/20. Let f(r) = 3 + r - z. What is f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -18*p - 920. What is y(-51)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22183709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4227047 and 528?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y. Let i(w) be the first derivative of -2*w**3 + w**2 + 2*w - 3. Let c(g) = -13*g**2 + 5*g + 5. Let z(v) = 2*c(v) - 5*i(v). What is p(z(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*q + 652*q - 229*q - 217*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466.011 years to months.\nAnswer: 5592.132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1d82b4?\nAnswer: -1d82b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 - -78. Suppose -46 = -o - 0*n + 5*n, 3*o + 3*n = 120. Suppose 0*v - 3*v + o = -4*u, 4*v - g = -3*u. Calculate the highest common factor of 63 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 12.4. Let x = -14 + 10. Let y = x + 2. What is the second biggest value in l, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 1. Let c(d) = 3*d + 2. Calculate -2*c(b) + 5*h(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*b**2 - 987*b - 330 = 0. What is b?\nAnswer: -1\/3, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 85?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -368*y - 3031. What is the thousands digit of z(-84)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 3. Let v = 26 + -23. Suppose -4*y = -39 + v. What is the tens digit of i(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 7119?\nAnswer: 78309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 12. Let b(m) = 11*m**3 + 17*m**2 - 17*m - 11. Let r(d) = 4*d**3 + 6*d**2 - 6*d - 4. Give t*b(z) + 17*r(z).\nAnswer: 2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - r + 8*z - 30, 2*r + 35 = 5*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-348)\/7)\/((-24)\/84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) -1\/6 (c) -0.5 (d) -0.4 (e) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**12*a*a*a*a*(a**(-11\/4)\/a*a)\/a*a)**(-23)*((a\/a**2)\/(a\/a**(4\/7)*a))\/(a**(-2)*a**(2\/7)\/a*a) assuming a is positive.\nAnswer: a**(-9197\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**7\/2310 - h**6\/440 + h**5\/330 - 14*h**2. Factor r(p).\nAnswer: p**2*(p - 2)*(p - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6066 = -6533*m + 6406*m - 5205 - 15085 for m.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -226, -390, -552, -712, -870, -1026?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 at most -1049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 5*c**2 - 125*c - 786. What is b(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*r + 121 + 29 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 9 + -32 + 5 + (-20 - (1 + -3)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/203 or -2107875?\nAnswer: -2107875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(6)\/sqrt(2)*-2 + sqrt(3) + (sqrt(18)*1)\/sqrt(6))**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/((-3)\/9). Let g be (-1 + 2)\/(p\/50). Suppose -l + g = 4*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 + -94. Suppose -3*b - b = g - 75, p*g + 4*b - 264 = 0. Does 30 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 + 0.16. Suppose -28*g - 223 = -27. Let p = -16 + 15.6. Which is the nearest to 0.2? (a) g (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1190 - 445 = -15*s. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -n - 511, -4*n + 6 + 14 = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17, 49, 115, 227, 397, 637, 959?\n\"Answer: 2*m**3 + 5*m**2 + 3*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 3565256 - 3565256 + s**2 - s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwwwfywfgfgwffwffyf. What is prob of sequence gf?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 3910662882.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 47 = -3*a - 96, z = a + 45. Let d = a - -305. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31964)\/(-305))\/(-2) + 52.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - -1 - 58 - (30 + -28). Let z be (8\/(-10))\/(4\/a). Find the third derivative of -9 - z*t**6 - 2*t**2 + 9 + 4*t**6 wrt t.\nAnswer: -960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 16*k = -2*y - 15, 2*k = -10. Let a(b) = -b**3 + 5. Calculate a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 8*y - 19. Let p be t(9). Let o = p - -24. Solve 0*j + 3*j = 2*c - o, j = -4*c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/11 + 4962824*c\/11 - 3078702756872\/11 = 0 for c.\nAnswer: 1240706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -251*t**3 + 6*t**2 + 14*t - 1. Let g(n) = -251*n**3 + 7*n**2 + 16*n - 1. Give -6*g(m) + 7*i(m).\nAnswer: -251*m**3 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 10:27 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 278 - 244. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/74595 + 2262787\/5370840. What is the common denominator of -89\/810 and n?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 29. Let x(t) = t. Let v(g) = q(g) - 4*x(g). Let k be v(-11). Suppose k*u + 8*u = 144. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2442513\/9415 - 1816\/7. Do a and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -10*s**2 + 1. Let u(g) = -g**3 - 3*g**2 - 6*g - 19. Let x be u(-3). Give b(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.269 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -142 - 0?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8227998 divided by 2\nAnswer: 4113999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -356 - -430. What is the second derivative of 78*q - 176*q + q**5 + 17*q**3 - d*q wrt q?\nAnswer: 20*q**3 + 102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-970)\/6 + (-15)\/(-9). Let n be (-22)\/f + 32\/(-160). Which is bigger: n or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -283*j + 299*j - 416 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2402.4 from -0.4.\nAnswer: -2402.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -4*a**5\/45 - 2*a**4\/3 + 64*a**2\/9 + 6. Find f such that k(f) = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 1\/2*q**3 + 3\/2*q**2 + 27*q + 0 + 1\/12*q**4. Is m(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -377188 + -3?\nAnswer: -377202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhjf. Give prob of picking 1 h and 1 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -o + 3, o + 3 = 5*b + 2*o. Let l = 17 - 22. What is the nearest to b in -2\/3, l, 4\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 + 81. What is the common denominator of -33\/112 and ((-4)\/(-4) + 13)\/c?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = 7*l - i - 3, 2*l - 5*i = 27 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-588))\/(4\/(-14))*49?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 - 23 = 29*a. Let j be (10\/20)\/(a\/(-24)). Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3103735, 3103728, 3103721?\n\"Answer: -7*a + 3103742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 0 + 8 + -2. Solve -q = 4*v - 4*y, 2*v + 2 = 5*y - y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.462 + 32.2. Let z = -1.7 + d. What is z rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 6. Let k(z) = 1. Let r(b) = 2*b**2 - 2*b - 7. Let o be r(3). Suppose -h - 5 = -o*w + h, -3*w + 3 = -h. Calculate w*c(q) + 6*k(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -26, -53, -90, -137, -194, -261?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.019 (b) -3\/2 (c) -4\/11 (d) -3\/5 (e) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 2952396\nAnswer: 590479.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*v - b, 4*v + 2*b + 8 = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -65 in 11, 3, 1, -5, -9\/1168?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 5. Suppose 3*m - 245 = 10*m. Let j = m - -44. What is the remainder when j is divided by f(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4466364*h**2 - 6232693 with respect to h.\nAnswer: 8932728*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7672, -2, 2, 1 in increasing order.\nAnswer: -2, 1, 2, 7672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 - 12)\/((-1)\/(-2)). What is the second derivative of 4*u**4 - 2*u + 108 - 14237*u**3 + 4*u - n*u**4 + 14230*u**3 wrt u?\nAnswer: 24*u**2 - 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) + (-134)\/(-10) + -5. Suppose r*y + 225 = 11*y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 50 = 5*v - 10*v, -2*j - v - 42 = -59 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + u = -0*u - 496, -2*c + 5*u + 266 = 0. Is 39 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -19) + (3 - 0) + -17.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + (sqrt(343)*-2 - sqrt(343)) + sqrt(343))**2 + 4 + sqrt(343)*2*-4.\nAnswer: 84*sqrt(7) + 1402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4617\/298 + -1\/149. Let o = -1183\/44 - -194\/11. Find the common denominator of l and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.43 * 77.726\nAnswer: -33.42218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -37\/5, 5173, -1\/5?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - ((-15 - -7) + 4)) + -21 + -25?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 818 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24983*g**2*r**3 + 58*g**2*r + 628*g*r**3 + 481*g + 2*r**3 wrt g.\nAnswer: 49966*r**3 + 116*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 16354?\nAnswer: 16354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(128)*1 + 5)*-4)**2 + -3 + 4*sqrt(128) + ((-3 + sqrt(128))*-5 - sqrt(128)).\nAnswer: -16*sqrt(2) + 2060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/v**(1\/12))*v)\/v*v\/v**(3\/10)*v**4*v*v*v**(-5)*v)**(6\/11) assuming v is positive.\nAnswer: v**(227\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v - 7. Calculate the remainder when 37 is divided by i(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96828 - 48012 - 51532 = -5757*y - 40933 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y**3 - 4*y**2 + 26*y + 170. Determine s(-5).\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -342198200*s**2 - 280364042 wrt s?\nAnswer: -684396400*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1035\/10*10108\/114. What is the highest common divisor of x and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*y + 6 = 0, 0 = -2*v - y - 4*y + 9. Solve 3*j + 13 = v*j - 4*u, -5*u = 4*j + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 - 8 + 8 + 1581*r**2 + 939*r**2.\nAnswer: 2516*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*1759484\nAnswer: 3518968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -955*m**2 - 50*m + 6. Let a(i) = -1909*i**2 - 108*i + 13. Give -6*a(j) + 13*x(j).\nAnswer: -961*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3516 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 190\/3 + 6\/(-18). What is the second derivative of -29*d - 32*d + 7*d**4 + m*d wrt d?\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -8*p - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 + 330\/44*(-7)\/((-70)\/(-12)). Factor -48020\/3*u - 5880*u**3 + 67228\/9 - 108*u**d + 1260*u**4 + 13720*u**2.\nAnswer: -4*(3*u - 7)**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 8 + 10. Suppose 0 = -0*q - 2*q + 144. Calculate the highest common divisor of v and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8174292 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -9*g + 6*g. Let t be (-9)\/(-2 + 1)*-24. Let c = g - t. What is the highest common factor of 22 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 842, -2, -4, -43 in increasing order.\nAnswer: -43, -4, -2, -1, 1, 842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1075 + 6385?\nAnswer: 5310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149613 is divided by 469.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 17741.\nAnswer: 17741.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11756250 and 7125.\nAnswer: 11756250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 3*p**2 - 2*p + 6. Let t be m(-3). List the prime factors of 82*(t\/(-3))\/(-4).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 20 = -2*n, -2*x - 266 = -2*n - 262 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 6*i**2 - 11*i + 11. Let r be x(9). Let c = r - 91. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 f, and 1 m when three letters picked without replacement from mssfs?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5 = -g - 0, 3*g - x = -8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 13*w**3 + 82*w**2 + 26*w + 19. Let o be d(-6). Suppose 0 = 3*h - 6 - 87. Suppose -x + h = -32. What is the greatest common divisor of x and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 - 4*r**2 - 28*r - 184. Calculate w(-5).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.11, 2\/15, 0, 14\/9, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 914 and 9234142?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: -1 * -315\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -29*y + 2 - 31 - y**2 + y - 3. Give z(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-5\/9))\/u)*u**(3\/13)*u**(10\/7)*u*u*u*u\/(u**12*u)*u*u)**(6\/11) assuming u is positive.\nAnswer: u**(-6200\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 3*r**2 - 4*r + 5. Calculate y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25)\/20 + (-52947)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -483, -972, -1463, -1956, -2451?\nAnswer: -2948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkddkk. What is prob of sequence kkdd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.27 + -0.08. Let w = z - -0.45. Are 0.1 and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5736354?\nAnswer: 2, 3, 13, 251, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*o + 2*a, -1 = -2*o + a + 10. Suppose -t - 6 = 4*k - 52, -330 = -5*t + o*k. What is the remainder when t is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1\/3)\/((-13)\/(-546)) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.51 - -2.57. Sort 0.2, l, -1, -4 in ascending order.\nAnswer: -4, -1, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 - 2 + 2 + (0 + 0 - 2*y**2)*(-3 + 1 + 0) + 6*y**2 - 5*y**2 + 3*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**3 - w**3 + 0*w**3)*(319 - 633 + 289) + 0*w**3 - 2*w**3 + w**3 to the form j + s*w + r*w**3 + x*w**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((1*1\/20)\/(3\/(-6)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**3\/6 + 7*g**2\/2 + 5*g + 3. Let n(l) be the first derivative of x(l). Determine n(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**2 - 7*h. Let t(b) = 4*b - 2. Let d(p) = -11*p + 10. Let n(r) = -d(r) - 5*t(r). Calculate n(z(l)).\nAnswer: 36*l**2 + 63*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 3:49 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 4*z + 252. Give c(-19).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 o when three letters picked without replacement from bddooodd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1056 divided by -12\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 22\/21 (b) 10 (c) 0.2 (d) 5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - (sqrt(39) - 6*sqrt(117)\/sqrt(3) - sqrt(39)))\/(1*sqrt(108)) - -1*(sqrt(208) + (1 + sqrt(208))*-5).\nAnswer: -89*sqrt(13)\/6 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(-1\/4)\/o))*o)**(-7)*o**2\/(o\/o**5)*(o**1)**(-2\/3)*(o**(-2\/5)\/o)**(2\/11) assuming o is positive.\nAnswer: o**(4507\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1155)\/9 + 3)*3. What is the tens digit of 1\/(4\/t*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nspfpypdppfsyyf. What is prob of picking 1 p and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11938172 to the power of 1\/2, to the nearest integer?\nAnswer: 3455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 2*d + 1. Let c(j) = -j**2 - 19*j + 88. Let y(s) = c(s) - 2*g(s). Is 10 a factor of y(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*v + 108*v + 533*v + 1183*v - 23424 = 0 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7271, -3744, -207, 3340, 6897, 10464?\nAnswer: 14041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(-12 + 9 - (-606)\/198)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n - 6 = 0. Let c = -5 + 30. Suppose -8*p + 3*p + c = 0. Solve -n*d = p*y - 1 + 22, -y + 3 = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a - 15*a + 49*a + 7203 = -52*a for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**2 - 3 - 2*o**2 + 1)*(-33 + 21*o + 33) to the form v*o**3 + j*o**2 + z*o + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, 2\/71, 1\/3, 0.7.\nAnswer: 2\/71, 0.2, 1\/3, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.5 (b) -0.01 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 5*v**3 + 0*v**2)*(-2*v**2 - 381*v**2 - 141*v**2 + (2*v - v - 3*v)*(2*v + 2*v - 2*v) + 2 + v**2 - 2).\nAnswer: -2635*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -399 - -840. What is the second derivative of -t - 5*w**4 + 441 + 2*w wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1713 - -1715. Solve 3*p = -y - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6932949 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23712?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4 + 685577*f**3\/3 + 228526*f**2\/3 = 0. Calculate f.\nAnswer: -1\/3, 0, 228526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(56\/6)*-4*(-9)\/81?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**4\/24 + 3*u**3 - 2*u**2. Let v be 0 + (-1*1 - -1). What are the prime factors of r(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4921*l + 832. What is the ten thousands digit of o(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2500597 divided by 227327.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2706 in 0.11, -2\/9, 0.02?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -1 + 1 + (-11 - -1) + 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3 = -w, w = -4*x + 4 - 1. Let l be (-34)\/(-14) + 0 - w. What is the second smallest value in -0.1, l, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7 = u, -3*w - 14 = -8*w - u. Suppose o = 4*s - s + w, -o + 2*s + 2 = 0. Solve -1 = x - o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178292901 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Suppose -2*z - 31 = -3*z + 2*f, l*z = -f + 86. Calculate the remainder when z is divided by 1 + -1 - (-20)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {m: 7, w: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82489343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 2*v - r, -r = -5*v + r + 366. Suppose -3*j - 2*g - v = -7*j, 2*j - 3*g = 28. Let f = 0 + 2. Solve -3*a = f*a + j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 14) to base 2.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 152 - 70 = 0. Let q = 144 + n. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 1184 - 1180, 0*m + 586 = 21*q + m for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*m - 228, -6*m - 134 - 118 = -4*s. Calculate the least common multiple of 45 and s.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 19*g - 2*g**3 + 0 - 8*g**2 - 1\/12*g**4. Is 3 a factor of a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142413 (base 7) in base 5?\nAnswer: 1333203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1215)\/(-54))\/((-7)\/84*-120)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 5*o**2 + 1. Let u be x(5). Let a = -36678.5 + 36680. What is the closest to a in -1, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(69\/24*-1 - -3)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 20 = -k. Let z = -25 - k. Let y = z + 33. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000095303 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 172*o**2 + 393*o + 19280. Determine y(169).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 6*z**2 + 2 - 3*z - 2*z - 70*z**3 + 8*z - z as c*z + j + v*z**3 + r*z**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*o - 135*f + 140*f + 118, 0 = f - 16 + 48 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**3 + 39*w**2 - 131*w + 14. Calculate f(4).\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 219333*y**2 - 877322*y + 10. Give m(4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**8\/13440 - y**7\/840 + y**6\/288 + y**5\/20 + 71*y**4\/24 + 63*y**2. Let v(q) be the second derivative of g(q). Factor v(n).\nAnswer: (n - 4)*(n - 3)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112*y**4 + 41*y**3 - 71609*y**2 wrt y?\nAnswer: 2688*y + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13733913 divided by -3.\nAnswer: -4577971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11e71 + -56?\nAnswer: 11e1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 76\/(-156) + (-2)\/(-13). Let b(h) = 41*h + 130. Let m be b(-10). Let c = m - -280. Are c and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.7008726 plus -0.35?\nAnswer: -26.0508726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26885 = 11*g + 4*n, -3*g = n - 4670 - 2662. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-297)\/(-1188))\/(2\/(-24)*-2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 11) in base 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 2:24 PM?\nAnswer: 545","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujrqrqucucuuuurcuuju. What is prob of sequence cj?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**3 - 243*p**2 - 16*p - 497563 wrt p?\nAnswer: -6*p**2 - 486*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 60?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4590.028ml in litres?\nAnswer: 4.590028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9))**(-5\/8) assuming s is positive.\nAnswer: s**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 + 81.2. What is the closest to -3\/5 in -10, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0 - (6 + -6))*-1. Let f be (0*(x - 0))\/(-10 + 11). Solve f = d - q, 4*d + 25 = -3*q + 2*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.9447 + 0.0247. Let p = r + 2.92. Which is the closest to p? (a) -2 (b) -1 (c) 0.1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*3\/(-33)*-9?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 11:09 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14212.22 grams in milligrams?\nAnswer: 14212220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2282 * -216.\nAnswer: 492912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -14*q**5\/11 + 5240*q**4\/11 - 496256*q**3\/11 + 1110048*q**2\/11 - 276768*q\/11 = 0?\nAnswer: 0, 2\/7, 2, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3\/4, -4, 471\/14?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*c - 300, c - 3522 = -3*n - 3352. Solve 3*t - n = -43, 5*m + 4*t = 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1101997102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 2, c: 1, i: 1, q: 1, g: 1}. What is prob of sequence bzg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 127, 1251, 2373, 3493, 4611, 5727, 6841?\n\"Answer: -u**2 + 1127*u - 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16241935 - 27382766. Let m = 11140828.7000045 + n. Let i = m + 2.3. What is i rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1315025 divided by 2287\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - -11. Let c = l + -75\/4. Factor -c*f + 1\/2*f**2 + f**4 + 7\/4*f**3 + 0.\nAnswer: f*(f + 1)**2*(4*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142 - -1873. Suppose 5*h = 4*t + b, 0 = 5*h - 0*t + 4*t - 1739. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101 and 1313.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 2*g - 34, 4*c + 6446505*g = 6446506*g - 27 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.8*1689.\nAnswer: 11485.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:06 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 17 = -2*b, -3*q + 2838 = -4*b + 2813 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547 - 184 = 33*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 218\/((-20)\/(-25) - (-4)\/(-30)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (888\/(-1554))\/((-1)\/(-21))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 3. Let l = -15 + 12. Let x be (l\/(-99))\/(3\/(-9)). Sort u, 0.5, x in decreasing order.\nAnswer: 0.5, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 62*b. Let s(f) = -233*f**2 - 30*f + 6. Let m(t) = 238*t**2 + 35*t - 7. Let i(r) = -6*m(r) - 7*s(r). What is k(i(x))?\nAnswer: 12586*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.40092932*0.2.\nAnswer: -0.280185864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zozz when four letters picked without replacement from zozzzoz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:51 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + f + 55. Is y(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from {d: 7, g: 4, c: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - 130?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b = -12*b. Solve 0 = o - b + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340401 is divided by 42546?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 7 = 2*x, 5*v - 9 - 10 = -2*x. Suppose -v*f + 5350015 = -5*y + 2*f, -3*y - 3209991 = 3*f. Round y to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o + 932. Let l(q) = -1932*q. Calculate l(z(f)).\nAnswer: 3864*f - 1800624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 416, 821, 1216, 1595, 1952, 2281, 2576, 2831?\n\"Answer: -d**3 + d**2 + 409*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from gggggagaggggggagggga?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 11) to base 6.\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7956239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + p + 6. Let h(t) = 1385*t**3 + 5*t - 747. Let f(w) = -h(w) + 5*q(w). What is the first derivative of f(o) wrt o?\nAnswer: -4140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z**2 + 19*z + 102. Let a be c(-10). Let x(y) = 716*y + a*y - 1429*y. Let g(k) = -28*k**2 + k. Calculate g(x(v)).\nAnswer: -28*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 20*m - 42. Let v be j(-22). Suppose -46 = -5*q - v*f - 0*f, -22 = -2*q + f. Suppose 18*o = q*o + 2120. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101001011011110110 (base 2) to base 3.\nAnswer: -2210012210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5262247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/9 - (170\/30 - 6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Suppose -2 = f - 5, -f = -c + y. What is the lowest common multiple of 16 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/7 - (-10)\/(-5)) + 1. Is 1 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Suppose -3*z - 2*w - 2 = g, 3*z - 3*w - 3 = z. Let i be -2 - -4 - (z + 0). Which is smaller: i or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - k)*(-142*k - 4 - 161*k + 277*k) in the form t*k + a + n*k**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**7\/252 + t**6\/36 + t**5\/20 - t**4\/18 - 2*t**3\/9 - 30*t. Factor b(a).\nAnswer: a*(a - 1)*(a + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2649 divided by 821\nAnswer: -2649\/821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 17*c - 8. Let x(z) = -7*z + 4. Let b(l) = 2*a(l) + 5*x(l). Let t(g) = -g + 7. Determine 7*b(h) - 4*t(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 67. Let r(l) = -l**2 + 34. Give 2*h(x) + 5*r(x).\nAnswer: -x**2 + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*s - 50*s + 7207599. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17911943 and 3.0248.\nAnswer: -17911939.9752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 9*i**2 + 9*i + 4. Let a(u) = u**2 + 75*u - 66. Let o be a(-76). Determine b(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 - 0 - -1 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - 14. Let x = t - -16. Let f = x + 18. Which is smaller: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxs?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 divided by -627708?\nAnswer: -80\/156927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -5, -3\/4, -10, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5326735 is divided by 319?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 21705978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-12))\/u*u))\/u**(4\/13) assuming u is positive.\nAnswer: u**(152\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 21508*k - 707. Is b(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, 0, -1\/4, 0.7, 8\/5, 32 in decreasing order.\nAnswer: 32, 8\/5, 0.7, 0.18, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 472*i**2 - 6*i - 319. What are the prime factors of g(-8)?\nAnswer: 3, 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 110*r + 944. Find the common denominator of 5\/30*(-294)\/(-4) and l(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 - -218. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*q - 17 - 3, -2*q - 5*u = -24. Suppose q*t - 4*d - 10 = 0, -5*d + 10 = 2*t - 0. Let x(p) = p**3 - 3*p**2 + 2*p - 2. Is x(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.2. Let f = -1.8 + 4.8. Which is the third biggest value? (a) w (b) 0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21945 - 16695. Does 125 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 25 = -3*r, 8*r = 3*g + 7*r - 51 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 264023 = -20*c + 15*c, 5*q = c - 52822. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1588 is divided by 190.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18599349701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4018 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/40*((-164)\/12 + -1). What is the greatest common divisor of z and 281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 3339?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 769*s**2. Let p(l) be the second derivative of 4*l**3\/3 + 1842*l. Give p(b(x)).\nAnswer: 6152*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -5, -286.\nAnswer: -286, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, -429\/23, 54?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, l: 1, e: 1, f: 8, h: 1, q: 2}. What is prob of picking 1 f, 1 l, and 1 q?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 39. Suppose -2*m + 128 = -4*f, -2*m + 2*f = f - 131. Let i = -53 + m. Let o be c(i). Solve -x - 2 = g, 0 = -0*x - 4*x + 2*g - o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533231 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19725*w + 5*s = 19727*w - 15, 2*w - 55 = -3*s for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4616 divided by -2308?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0629017 minutes in microseconds?\nAnswer: 3774102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7*l + 3*l = 93, 0 = 5*c + l - 155. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -55*n + 31*n + 50 + 40*n + 5*n**2. Let v(q) = 4*q**2 + 16*q + 49. Let x(s) = -3*o(s) + 4*v(s). What is the first derivative of x(j) wrt j?\nAnswer: 2*j + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/(p**(-1\/3)\/p))\/(p*p*p*p*p*p**(-8\/3)\/p*p**(-2\/27)*p) assuming p is positive.\nAnswer: p**(-133\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7895261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26233801.89 take away 36?\nAnswer: -26233837.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -72, -138, -254, -426, -660, -962, -1338?\n\"Answer: -m**3 - 19*m**2 - 2*m - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r. Let a(k) be the first derivative of -23*k**2\/2 + k + 1097. What is a(i(p))?\nAnswer: -23*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176 - 172. Solve -6 = 5*d - r*p, p - 3 = 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d + 3*d + 29 + 3*d + 3*d.\nAnswer: -d + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/4)\/(((-1)\/12)\/(1\/(-9)*2))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 36. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/7 of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s**2 + 11*s - 30. Let r(t) = -3*t**2 - 3*t + 7. Let x(v) = 2*f(v) + 9*r(v). Let d(u) = -2*u + 9. Let h be d(6). Let w = -8 - h. Give x(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2439 is divided by 528?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.193 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31152 + -25?\nAnswer: 31123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48693 + 48758 + 0 + -26 + 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 293, 326, 381, 464, 581, 738?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -699480 divided by -2088\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20\/(-20) - (1\/(-1) + -1184)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*2*-4*-2*sqrt(245)*6)**2.\nAnswer: 1300561920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -22*x**2 - 36*x + 200. Let f(u) = -9*u**2 - 15*u + 80. Let m(a) = 5*b(a) - 12*f(a). Determine m(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 930851.9ml in litres?\nAnswer: 930.8519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - 3*j**3 + 0*j**3 + (-23*j + 7 - 7)*(2*j**2 - 2 + 2).\nAnswer: -47*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-2))\/((-85)\/102))\/((-9)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 853 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 65*y - 231. Let a(n) = 27*n - 115. Calculate 7*a(r) - 3*v(r).\nAnswer: -6*r - 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m + 14*m**2 + 2*m + m**3 - 5*m - 19. Is y(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*f + 45 + 114 = -114 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z - 127. Let x(c) = -15*c + 320. What is 12*k(t) + 5*x(t)?\nAnswer: -3*t + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afjfjoujjojajo. What is prob of sequence uoaa?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2699 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1021.74168 and 219?\nAnswer: 802.74168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:08 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from tfhdhthhhdhhdtfthh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/44 - 249283\/(-50314)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 520*y**4 - 620*y**2.\nAnswer: 12480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**2 + 195*k - 2005. Let t(z) = 5*z**2 - 196*z + 2004. Let l(d) = -5*t(d) - 4*y(d). What is m in l(m) = 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156 a factor of 27308833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 + s + 5. Let q = 376 + -374. Let n(k) = 4 - q*k**2 - 15*k + 39*k + 5*k**2 - 23*k. Let d be 1 - (-5)\/(10\/(-12)). Give d*x(w) + 6*n(w).\nAnswer: -2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.408136 less than or equal to -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 24. Let j = 12 + d. What is the third smallest value in j, -0.5, -2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -13*w**4\/24 + 18*w**2. Let u(a) = -2*a. Determine z(u(x)).\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -124315, -124766, -125217, -125668, -126119, -126570?\n\"Answer: -451*h - 123864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsh when three letters picked without replacement from {x: 1, s: 1, h: 2, n: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elte when four letters picked without replacement from czttezlataetec?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**2\/2 - 3. Let x(j) be the third derivative of j**5\/12 - j**4\/12 - 5*j**2 + 48*j. Calculate x(r(i)).\nAnswer: 5*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.9438511366 - -9?\nAnswer: 25.9438511366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5772 equal to 5774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 12*g + 22. Let f be k(-10). Calculate the remainder when 3\/(-9*f\/(-354)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1874059?\nAnswer: 11, 170369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q - 14. Let j(o) = 2*o. Determine l(j(i)).\nAnswer: 10*i - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - -517.\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.028? (a) 10 (b) 2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkapapplpyqapyk. What is prob of sequence lp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 11*l + 22. Let m be b(9). Suppose -21 + 1 = -m*k. Find the second derivative of -17*a**k + 112 - 112 - 14*a wrt a.\nAnswer: -340*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6967272541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**4\/48 + z**3\/8 + z**2\/2 + 38*z + 68. Let k(c) be the first derivative of v(c). Solve k(a) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6088 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7*3\/4 - -3 and 17\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*l + 8 + 7, 0 = -3*l + 9. Let y be f + (-1 + 0 - -2). Let v(w) = -5 + 4 - w - y. Give v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000100559846 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 10 + 9*d + 9 + 8.\nAnswer: 15*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.3 + 6.7. What is the closest to -1\/2 in 4\/7, -3\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 901 - 901 + 2*h**2 - h**2. Let m(b) be the second derivative of 4*b**3\/3 - b. Determine z(m(a)).\nAnswer: 64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5794843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-2))\/(-2*3\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = 4*d, -4*d + 4*n = 3 - 7. Suppose -8*j - 829 + 285 = d. Let a be 2\/((-8)\/j) - 2. Solve 2*z + a = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 65*w**2 - 849*w + 7. What is q(-17)?\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4*d - 8*d - d**2 - 4.\nAnswer: -(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 i when four letters picked without replacement from qiqwwwiiih.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17 - -11) + (-5 + 1 - -2). Let g(n) = 15*n + 137. Calculate g(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3*u = -3*h - 33, 3*h + 5*u - 65 = 0. Suppose 0 = 3*a - 14 - 16. What is the least common multiple of ((-6)\/h)\/((-3)\/30) and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*w = 4586 + 166. Calculate the remainder when w is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4224564 divided by -4\nAnswer: -1056141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**5 + 2*m**4*r - 28*m**3*r - 5*m**2*r - m*r + 2 wrt m?\nAnswer: -60*m**2 + 48*m*r - 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -81*c**4 + 63*c**3 + 7*c**2 - 11*c - 11. Let k(y) = 27*y**4 - 21*y**3 - 2*y**2 + 4*y + 4. Let p(m) = 11*k(m) + 4*s(m). Factor p(o).\nAnswer: -3*o**2*(o - 1)*(9*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 33 - 1. Let a = p + -7. Calculate the lowest common multiple of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i + 18. Let l = 19 + -19. Let k be w(l). Let g = k - 6. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -17*d**2 + 2*d. Let f(r) be the first derivative of 8*r**3\/3 - r**2\/2 - 3. Let q(a) = 5*f(a) + 2*g(a). What is the second derivative of q(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9078427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 101567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 87 and 84 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -18. Let u = w + 10. Let o be (u\/(-6))\/(10\/(-75)). Calculate the greatest common divisor of 25 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0833 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 2*r + 2. Let o be d(2). Let h be o\/10 + 30\/50. Suppose 5*i - 3*n - 217 = h, -n = i - 3*n - 49. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a**3 - 8*a**3 + 36*a**4 - a**2 - 2139*a + 2140*a - a**3 to y*a**2 + l*a**3 + u*a**4 + o*a + q and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -32302133233 (base 4) in base 2?\nAnswer: -1110110010011111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1130 + -605. Is 25 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from uzoeueuxuoxeuue?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96 + 96. Let q = 36 - 34. Let w be 1 - 20\/(-8) - (5 - 2). Which is the nearest to f? (a) w (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - h - 3)*(262*h - 2*h**3 - 262*h) in the form b + x*h + i*h**2 + c*h**4 + g*h**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023302002 (base 4) in base 11?\nAnswer: 1a2234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3566894979 to the nearest integer?\nAnswer: 59723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) - (3 + sqrt(2) + 1))**2) + 1 + (sqrt(8) - sqrt(2)) + -5.\nAnswer: -20 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**5*o + 123011*l**4*o + l**2*o + 47479*l**2 wrt l?\nAnswer: 60*l**2*o + 2952264*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 9 - 7 - 3 + 7 - 3 + (-5 + 0 + 4)*(4 - 4 + 2) - 3 + 3 - 1)*(-2 - 2 + 3)*(-4*q + 5*q + q)*(-22 - 23 + 8) in the form l*q + u and give l.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -22. Suppose 0 = 3*s - m*s + 4. Is -2 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**5 + 4*o**5 - 3*o**5)*(2 + 1 + 1)*(-3 - 2 + 3).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.03\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1 - 58*h**2 - 3*h + 60*h**2 - h. What is the remainder when u(4) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) + 14\/56. Let n(m) be the first derivative of 1 + m**2 + t*m**4 + 0*m + 0*m**3. What is the second derivative of n(b) wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 13, 27, 53, 97, 165?\n\"Answer: c**3 - 3*c**2 + 10*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*s**3 - 22\/7*s**2 - 96\/7 - 80\/7*s.\nAnswer: -2*(s + 3)*(s + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/666 and 37\/203049.\nAnswer: 15025626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35828446048 + 35828446048 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 89*g**7\/42 - 4*g**6\/15 - 19*g**4 + g**2\/2 - 1789*g. Find the third derivative of n(t) wrt t.\nAnswer: 5340*t**2 - 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1541933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b - 21 = -5*z - 13*b, 0 = 2*z - b - 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*b**3*r + b**3 - 11*b*r + 3*b - 3*r wrt b.\nAnswer: -444*b*r + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2004340.\nAnswer: 2, 5, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 160 = -5*n, -229*n + 2*b - 32 = -230*n. What is the remainder when 33 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -1. Suppose l + 21 = -5*i + 2, i + 19 = -t*l. Let w = i - -16. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/8 + a**4\/24 + 5*a**3\/3 + 7*a**2. Let d(n) be the first derivative of k(n). Is 16 a factor of d(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 3. Let g(w) = 3*w**3 + 16*w**2 + w + 7. Let s be g(-5). Calculate the remainder when (-11)\/(3*(-3)\/s) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 210, 302, 378, 432?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7)*-3*3)**2.\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49360 divided by -2468.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 863037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 3*v - 6. Determine z(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-14))\/((-2)\/(-56)). Let p(n) = 23*n**2 - b*n**2 - 7*n**2 - 14*n**2 + 4 + n**3 + 5*n. Let x = 15 + -11. Calculate p(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 19*h + 17. Let d(f) = 4*f - 22. Let p be d(9). Let j be v(p). Let o = j - -56. Solve 0 = o*t - 4*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40 (b) -4\/9 (c) -5\/4 (d) -21\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-90)*-3*905\/(-362)*-6.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 - 51*v - 155. Let t(q) = 5*q**2 + 55*q + 156. Let s(h) = 4*r(h) + 3*t(h). What is the derivative of s(a) wrt a?\nAnswer: 6*a - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 4*t. Let m(s) be the third derivative of -1\/24*s**4 + 0 + 3*s**2 + 0*s + 0*s**t. Let h(c) = c. Calculate m(h(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(((-6)\/4)\/1). Suppose -2*o - 2*o + 28 = 0. Suppose 2 = -3*t - o. Which is the biggest value? (a) s (b) t (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5957 + 3686 + 4144 - 3223 + 3167 - 277)*(-2*b**4 + 1 - 1) to the form p*b**3 + s*b + r*b**4 + v + t*b**2 and give r.\nAnswer: -26908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/122401510 and -59\/13352892?\nAnswer: 734409060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**8\/84 + w**6\/15 - w**4\/6 + 33*w**2\/2 - 58*w. Let y(i) be the first derivative of t(i). Factor y(z).\nAnswer: -4*z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, e: 7}. What is prob of picking 2 e?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p - 5. Let s(b) = 9*b + 11. Let z(w) = -3*s(w) - 7*v(w). What is z(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - m**2 - 71*m + 311. What is b(5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 203?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*h + 2576 + 2905 - 1670 = 0 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31787 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 3:42 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**6\/360 + q**5\/40 - q**4\/12 - 7*q. Let m(z) be the third derivative of x(z). Find the first derivative of m(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/65 (b) 4 (c) 2 (d) -3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3994, -7990, -11986, -15982?\nAnswer: -19978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 160807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.28 + -23.28. Let g = -22.9986 - i. What is g rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/2136 and -47\/8.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 420145380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/((v\/(v**(-2\/7)*v*v*v*v*v))\/v*v))\/v))**48\/(v\/(v\/(v\/(v*(v**0*v*v*v)\/v))))**(-4) assuming v is positive.\nAnswer: v**(-968\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21904*z + 23254*z + 1350 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.3 * 10369.\nAnswer: -75693.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -33506 (base 8) in base 10?\nAnswer: -14150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 4*h**2 - 3*h - 2. Suppose -z + 2 = k, -1 - 6 = -4*z - 5*k. Suppose 0 = z*v - 6 + 3. Let m(b) = b**2 - b. Calculate v*o(s) - 3*m(s).\nAnswer: s**3 + s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1025 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5466 + 5472. Solve 5*c - a + 19 + 2 = 0, -4*a = -2*c + i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3\/2 + 275*d**2\/8 + 893*d\/2 - 10469\/2 = 0.\nAnswer: -38, 29\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53010846 is divided by 152769.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102 - -2005?\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -36, -705, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2. Let t(q) be the third derivative of 2*q**5\/3 - 6135*q**2. What is 30*g(o) - t(o)?\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffbffffffffbff. Give prob of sequence ffbb.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 737 + -725. Solve -6 = -2*g - 5*b - 0*b, 5*g - b = -k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, z: 4, s: 2}. What is prob of picking 2 a, 1 z, and 1 s?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m + 32. Let v be s(-8). Let t be 0 + 3\/(-1) + (3 - v). Suppose 0*d - d + 110 = t. List the prime factors of d.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 495130566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -181 + 188. Which is the nearest to 0.1? (a) -6 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1208*y**2 - 4*y + 1008*y**2 + 4*y.\nAnswer: 2216*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4*u + 4, -2*k - 2*u = 17 - 7. Let b = -3 - k. Suppose -b*v = -2*v - 3. What is the highest common divisor of v and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - 2)\/3 + 5. Let g(n) = -n - 2. Let u(p) = 1. Let m(s) = g(s) + 6*u(s). Let h be m(-5). Solve -o - w*o + h = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3048, -3144, -3240?\nAnswer: -3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86\/17 - 1155\/272. Suppose -642 + 2256 = 3*x. Let k = x + -10793\/20. What is the common denominator of c and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 39 = -5*g. Let a(w) = -3*w - 4. Let d(k) = 13*k + 14. Let m(q) = -9*a(q) - 2*d(q). List the prime factors of m(g).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/7565496 and -59\/1560.\nAnswer: 491757240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5509 = 4*x - 1527. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91.6 + 102.7. Let f = 242552481.8999953 - 242552493. Let k = q + f. Round k to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttwtttxmtuttt. What is prob of picking 1 t and 1 w?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -13079\/18 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2768*f*m**2 + 2*f + 174*m**2 - 5 wrt f?\nAnswer: -2768*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 32. Round v to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1758689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 331687267.23 - -424692.77. Let n = 332111958.54999913 - o. Let t = 1.45 + n. Round t to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 586 = -d + 130, -235 = p - 3*d. Let l = p - -231. Solve t = 0, 6*j - 5 = j + l*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 458758220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 2627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7495*324.\nAnswer: 2428380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9252011 is divided by 7565.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*b - 8, 4*b = -d + 4*d + 2. Let a be (1\/b)\/((-1)\/(-6)). Let i be 4\/a*(-45)\/(-10). Which is bigger: 1\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8978114mg?\nAnswer: 897811.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-10 + (0 + -16 - (-16 + (-2 - -23))))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.45 - 0.05. Let v = 2.8 - 0.8. Let i = y + v. Which is the third biggest value? (a) 0 (b) 1\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 19*g**4\/2 + g**3\/3 + 16*g + 103. What is the third derivative of o(d) wrt d?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11611?\nAnswer: 17, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/12*9\/(-6). Suppose -4*n + 8 = -8, 2*u - q*n - 56 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (150\/20 + 6\/4)*1. Let l be ((-2)\/(-1) + 2)\/(-8 + o). What is the least common multiple of 12 and ((-36)\/l)\/(9\/(-30))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6008 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/18 and 123\/12650.\nAnswer: 113850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1777133?\nAnswer: 1777133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115*f**4 + f**3 - 67798 + 67800 + 0*f**3 + 3*f to d*f**2 + x*f**3 + j + a*f + r*f**4 and give r.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 81*d**2 - 51*d - 16. Is l(20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 2830. Let a(m) = -3*m**2. Give n(a(j)).\nAnswer: -3*j**2 + 2830","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 24*u**2 - 26*u - 629. What is p(-24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 20*p + 8. Let z(t) = -t - 3. Let w(x) = -2*x. Let o(n) = 3*w(n) + z(n). Determine -14*o(s) - 5*r(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1. Let l(i) = -11*i + 21. Let b = -48 + 47. Let g(k) = b*l(k) - 2*y(k). Differentiate g(w) with respect to w.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 46 = -185. Suppose -2*w - 4*d + 8 = 0, 3*d + j = 3*w + 2*w. Solve 8*k = 3*k - 4*h - w, -3*h + 11 = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/30 and -7\/636180.\nAnswer: 636180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1700)*6 + 5 + -5)**2 - ((sqrt(1700) + 1)*3 + -1 + sqrt(1700) + -3 + 2)) + -1.\nAnswer: -40*sqrt(17) + 244798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 7:09 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5217, -10425, -15623, -20805, -25965, -31097, -36195, -41253?\n\"Answer: r**3 - r**2 - 5212*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 u when four letters picked without replacement from {u: 2, t: 5, q: 5, s: 1, d: 2, m: 2}.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 2*c + 3. Let i be j(0). Let s(h) be the second derivative of 0*h**i - 1\/3*h**4 + 0 + 2*h**2 + 4*h. Differentiate s(w) wrt w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.159 - -0.159. Sort -3, 1.4, i in descending order.\nAnswer: 1.4, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 y, and 1 z when three letters picked without replacement from {c: 4, z: 4, w: 1, a: 4, o: 1, y: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -11*z**5\/5 + z**4\/2 - 4*z**3\/3 - 2*z - 107. What is the third derivative of u(o) wrt o?\nAnswer: -264*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**2 + 0*d + 1\/3*d**3 - 3. What is the second derivative of m(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 0*h + 6\/7*h**3 - 3\/7*h**4 - 3\/7*h**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 0 - 1\/6*p**3 - 9*p**2 + 0*p + 1\/24*p**4. Suppose -6*z = -4*z + 14. Determine v(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a decade in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9576, -76639, -258698, -613251, -1197796, -2069831, -3286854, -4906363?\nAnswer: -6985856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*n**2 - 38055*n - 7610.\nAnswer: -5*(n + 1522)*(5*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/5*(-3)\/4\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b - a2772d?\nAnswer: -a27749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*a - 1024, -5*o = o + 5*a - 6144. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 7*y - 50. Let k(n) = -2*n + 52. What is the remainder when k(y) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 x, and 2 e when four letters picked without replacement from xgeewwxgweewggeeeg?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -2. Suppose 17 = d - 0*d - r*n, d = 5*n + 25. Calculate the highest common factor of d and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.637281 - -0.922?\nAnswer: 1.559281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4*z - 2*z)*(5*z**2 - 5*z**2 - z**3) + 38 + 28*z**4 - 38 + 2*z**2 - 2*z**4 - 2*z**2.\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/3, -9, 1, -17 in increasing order.\nAnswer: -17, -9, -5, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 90, 28, -32, -84, -122, -140, -132, -92?\n\"Answer: m**3 - 5*m**2 - 54*m + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -65*f**2 + 543*f - 2168. Let u be a(4). Which is bigger: -1049 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*o = o - 25, -5*c - 5*o + 50 = 0. Suppose 0 = c*g - 0*g. Solve g = -m - 2*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -4, 1\/9, -6, 0.3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**3 + 223*c**2*k**2 - 5*c*k**2 + 19*c*k - 4*c wrt c?\nAnswer: 18*c + 446*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -17244*q + 25. Determine h(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 1303.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1409404.\nAnswer: 1\/704702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 2136343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-128))\/(15\/110)*-4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.261 times -398987?\nAnswer: -104135.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 750 and 700.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 16. Let o be r(19). Suppose 0 = -o*z - 2*z + 445. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49434 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y + 6. Let s be t(-2). Suppose -4*i + 2*i = -6. Let w be (1 - 0)\/(i\/12). Solve 0 = -w*p - s - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1581*y**2 - 4719*y**2 + 1567*y**2 + 2*y**3 + 1571*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 + 380\/(-50) - 11\/(3960\/3164) and (-10)\/4*19\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59600 or -59746?\nAnswer: -59746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.637163 meters to kilometers.\nAnswer: 0.001637163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-39))\/((-4)\/6). Put u, -2\/5, -3\/5 in decreasing order.\nAnswer: u, -2\/5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363761 divided by 14.\nAnswer: -363761\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7273488?\nAnswer: 2, 3, 151531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960987023 to the power of 1\/2, to the nearest integer?\nAnswer: 44283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181\/21 - 25\/3. Let j = -21 - -18. Let x be (-6)\/(-14)*4\/(-6). What is the closest to x in 2, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59675282 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 + 110.1. What is the nearest to c in -5, 3\/13, 2\/7?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2 and -10\/259?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1991 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.64 + -1.64. What is the closest to s in -3\/4, -7, -2\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 56. Let u = l - -32. Suppose -4*s + 0 = y - 25, -2*y + u = -2*s. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*c - 1236, 26*k - 416 = -c + 28*k. List the prime factors of c.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 12*x**5\/5 + 2*x**4 + x**2 + 37*x - 344. What is the second derivative of y(d) wrt d?\nAnswer: 144*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1368 - -1379. Let f = 4.9 - 0.9. Let p(j) = j + 4. Let m be p(-3). What is the closest to -0.1 in f, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 194*3\/(-288) - -3 - 1. Suppose 19 + 3 = 2*h - 5*t, 0 = 2*t + 8. Which is greater: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 + -2)*(-14)\/(-6). Solve 4*r = -3*s - 4, -r - 2*r - l = 5*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 666*d**2 - 7758*d + 17334.\nAnswer: -2*(d - 321)*(d - 9)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 13757691?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 901 + -645. Which is bigger: 254 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -59 (b) 0.5 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(130) - (-2*sqrt(130) + sqrt(130)))\/sqrt(10) + (sqrt(832)*2 + sqrt(832))**2.\nAnswer: 3*sqrt(13) + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 28 + j - 13 - 10. What is the lowest common multiple of 8 and c(9)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3672.748um to centimeters.\nAnswer: 0.3672748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 503, 488, 471, 452, 431, 408?\n\"Answer: -m**2 - 12*m + 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 4 - 3*z**2 - 4*z**2 + z**2 + 206*z - 208*z. Let f be 0\/(5\/((-15)\/9)). Suppose 2*a + 12 = 4*n - 6*n, 2*a - 3*n + 7 = f. Calculate o(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -3, -152, 2\/15, -0.4?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((28 - 4) + 6)*112\/12. Factor 147*g + 32 - x*g - 4*g**2 + 141*g.\nAnswer: -4*(g - 4)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -371, -346, -303, -236, -139?\n\"Answer: s**3 + 3*s**2 + 9*s - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 8*d. Let f(w) be the third derivative of 1\/12*w**4 + 0 + 0*w**3 + 4*w**2 + 0*w. Give b(f(n)).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40042.\nAnswer: 2, 20021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10318 is divided by 775?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(153) - sqrt(153)*1))\/(sqrt(441) + (sqrt(441) - (sqrt(441) - sqrt(441)*1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 2, r: 1, l: 1}. Give prob of picking 1 l, 1 p, and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76077700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*s**2 + 409*s**2 + 184*s**2 + 327*s**2 - 158*s**2 in the form t*s + q + v*s**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 5, -1501 in decreasing order.\nAnswer: 5, -19, -1501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(108))**2*6.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204)*-4 + sqrt(204)))*2 + (sqrt(204) - 5*(sqrt(204) + sqrt(204)*-1)))\/((sqrt(1200) - sqrt(1200)*-1 - sqrt(1200))*4).\nAnswer: 9*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -1202 + 1232. Solve 5*p + 10 = -i + y*i, 5*p + 10 = -4*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*c - 36. Let f be (-4)\/c - (-100)\/6. Calculate the highest common divisor of f and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3632281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 10:45 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(26 + 371*8\/(-112)). Factor 4\/3*a + r - 2\/9*a**2 - 2\/9*a**3.\nAnswer: -2*a*(a - 2)*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41793904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2)*(-3*z + 3*z + 2*z**4) - 2*z - 1 - 6*z**4 + 4*z**4 + 2 in the form w*z**2 + i*z + u*z**3 + o + k*z**4 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a kilometer in meters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 8 = 2*h, -u - 2662 = 22*h - 2574 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -452, -3589, -12126, -28763, -56200, -97137?\nAnswer: -154274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*a + 11. Let u = 447 - 472. Is u less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/6*3\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -3, 2, -133?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 48*a - 346. What are the prime factors of t(14)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**2 + 4*q**2 - 4*q**2)*(4 + 7 + 39)*(4*q + 5 - 3 + 0)*(-4*q + 18*q + 55*q) as i*q**2 + p*q + r*q**3 + d + j*q**4 and give j.\nAnswer: -13800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -58*t + 53*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10456777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 7*c**2 + c - 5. Let w be v(7). Find the second derivative of -3*l + 2*l**2 + 0*l + l**w wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20112221022 (base 3) to base 2.\nAnswer: 11111011111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 + 1054 = 12*z. Let d = z - 106. Solve -10 = 2*p + 4*m, -d*p + 5*m + 12 = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/231393 + -16428487\/48129744. Find the common denominator of h and 55\/112.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 p when three letters picked without replacement from ffpffllnffnffffflnpf.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) 0.5 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -25. Let g = q + 8. What is the biggest value in 5, g, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j + 3 - 3)*(-7*j + 3*j + 3*j) - j**2 + 0*j**2 + 3*j**2)*(-j**2 + 4*j**2 - 2*j**2).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 8. Let b be ((-5)\/(-10)*0)\/1. Let l be g(b). Let a be l\/(-6)*(-153)\/(-68). Solve -2*r = a*r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(4*sqrt(119) + sqrt(119)))\/(-1*(-2*sqrt(63) - sqrt(7))).\nAnswer: -10*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2100323 + 2101?\nAnswer: -2032222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 - 536428*t\/11 - 35969374898\/11.\nAnswer: -2*(t + 134107)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*(-11190)\/746.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**7\/231 - 2*x**6\/165 - 4*x. Factor i(a).\nAnswer: -2*a**4*(a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4682850 by 936570.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*p + 6 = 57*p. Let q be (-9)\/27 - 2\/(-6). Solve -8*n + p*n = q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i + 1. Let w be t(2). Suppose 2*k + w = 5*k. Let f = 0 - -2. What is the remainder when k is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2. Let z(x) = -6 - 19 + 0*x**2 - x**2 + 6. Calculate z(q(g)).\nAnswer: -g**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 71276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4693, 1 in decreasing order.\nAnswer: 1, -2, -4693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.17644 * -83.6\nAnswer: -14.750384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/7)\/(4\/(28\/(-1))). Let b be (-4)\/6*(-1 + -2). Let v be (-61)\/b + (-6)\/u. Round v to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3728 or 1353707\/363?\nAnswer: 1353707\/363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -9. Let p(n) be the second derivative of 0*n**2 + 0 - 1\/6*n**d - 1\/6*n**3 + n. Find the second derivative of p(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6) + -20 + 28 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8090*z**2 + 3*z - 2895. Let p(l) = -16180*l**2 - 5*l + 5796. Let y(f) = 5*h(f) + 3*p(f). What is the first derivative of y(j) wrt j?\nAnswer: -16180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2559 + -2558.7. Which is the nearest to 1? (a) -1 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**6*m*m)\/(m\/(m*m*m*m**(2\/13))))\/(m\/((m\/m**7)\/m))**(-11\/5) assuming m is positive.\nAnswer: m**(1869\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - 0.6. Let u = -0.6 + 1.2. Let y = 0.2 - u. What is the second biggest value in -5, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/619 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*s + 51692 - 43586 = 0 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyydyyyyyy. Give prob of sequence yy.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**6 + 320*u**4 + 13347*u**3 - 107745071*u**2 wrt u?\nAnswer: -240*u**3 + 7680*u + 80082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 11393 = -1373. Suppose 439 - j = -3*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14239834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 4. Let f be y(2). Let l = -3 - f. Which is the closest to 2\/5? (a) -0.5 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from dpewwphwehppwpwhp?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*p + 4, -3*h - 3*p + 26 = -22. Suppose -2 = -15*n + h. Sort 2, -3, -2, n.\nAnswer: -3, -2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -3 + 11 - -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:49 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, g: 2}. What is prob of picking 1 n and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/165 > 222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -696 divided by 174.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32620156 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5502, -10991, -16462, -21909, -27326, -32707, -38046?\n\"Answer: p**3 + 3*p**2 - 5505*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpej when four letters picked without replacement from jjwjejejjjpeeppjepjj.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**3 + 33*d**2 + 3*d - 27. Determine t(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 159*p**3 + 5*p**2 - 16*p + 19. What are the prime factors of h(2)?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2 + 57164*l + 28715676 = 0. What is l?\nAnswer: -498, 57662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4693346 is divided by 991.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/6)\/(15\/(-9))*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001 (base 2) in base 13?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -17. Suppose v = -v + l. Find m such that -m**2 + 7 + 2*m - 3 + v*m**2 - 2*m**3 - 6*m**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by -44\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18737 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171 + 84 + 36)*(-2*g**2 + g**2 + 0*g**2).\nAnswer: 51*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4122162 and 218.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - 4*y + 6*y + (-5 + 8 + 8)*(517*y - 916*y + 510*y).\nAnswer: 1223*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - t - 1. Let v be z(2). Let a(x) = 5*x**3 - x**2 - 3. Let g(q) = -q**2 + 1. Let i(f) = v*a(f) + 3*g(f). Find the third derivative of i(m) wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-95*u + 24174 - 24174).\nAnswer: -95*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/54*12*2\/16?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 11. Suppose 0 = -v + u - 2, v - 2*u = -88 + 89. Determine b(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.8 (b) -4 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-180)\/(-18)))\/((-10)\/(500\/145)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252\/11 - -1041\/44. What is the nearest to 1\/21 in 0, 0.3, d, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 - (4 + 1 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*z - 17*z + 40*z to s + l*z and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519598269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -k - j + 197, 4*k - 804 = 4*j. Let u = k - 177. Calculate the highest common factor of 21 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3) - 22\/(-6). Let q = -16 - -23. Suppose x = k - 1, 0*k = -k + 5*x - q. What is the highest common factor of c and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-20 + (0 + -12 - -21))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 184761, -4 in descending order.\nAnswer: 184761, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (4 - ((-3 - -6) + 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0536 + -4.0536. Let u be 1\/(-3) + 32\/6. Which is the third smallest value? (a) 3 (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575 + -175?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -10. Let n be 2 - z - (-3)\/(-9). What is the third smallest value in -3, 0.5, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 4 - 1 + 0 + 2 - 6*y. Determine a(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1. Let n = 50 - 39. What is the remainder when n is divided by (-5 - -1)*-1 - p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -154, -140, -60, 80, 274, 516, 800?\nAnswer: 1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {k: 2, o: 4, r: 6}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**4\/24 + 2*m**3 - 22*m**2. Let z be p(-8). Solve -z*l + 7*l + 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f\/(f*f\/(f*f\/(f**8*f)))*f**2*f**2)\/((f**(1\/3)\/f)**(-23)\/((f*((f\/f**(2\/9))\/f)\/f)\/f)**(-18)) assuming f is positive.\nAnswer: f**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/7)\/(1093\/(-237181)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 47144 divided by 1510\nAnswer: 23572\/755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 535058 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2757 - -2763. Let i = 0.03 + 4.97. Let g = i + -1. What is the nearest to g in -3, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 9. Differentiate -l*s**2 - 5*s**2 - 4 + 6*s**2 with respect to s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 29*r**2 + 13*r + 2. Does 16 divide o(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2458 + 2545. Is 54 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 3. Let u(f) = f**2 + 1. Let b(w) = -l(w) - 3*u(w). Let q = 11 - 9. Let c(r) = -22 + 2*r**q + 22. Determine b(c(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.39 - 4.89. What is the closest to -0.7 in -8, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwjw. Give prob of sequence ww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2083650\/97237*(42\/5)\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -79 + 83 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5 + 3. What is the smallest common multiple of 46\/(-230) - (2 - 102\/10) and (3\/b)\/(9\/(-48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/9 (b) -10817\/8 (c) 4 (d) 5 (e) -1.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1238*y - 123 - 17142 - 19875 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*2\/(6\/201)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-48)\/(-8))\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2670732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 1 + 3*c + 8*c**2 - 2 - c. Let r be g(1). Suppose r + 11 = s. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 84227*i + 252774. Determine o(-3).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11 - -57.89. Let i = -56.9 + x. Which is bigger: i or 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -16190*o - 188. Is d(-1) a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1587 + 1587. Which is the second smallest value? (a) x (b) 1 (c) 1\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 + 61 + 183*b - 116 + 6*b to the form n + u*b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -326662*j**2. Let z(m) = 23*m. Calculate k(z(c)).\nAnswer: -172804198*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0061955 to five dps.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22268276 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7844, -31512, -70958, -126182, -197184?\nAnswer: -283964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121.1000811 + 121.1. Round u to 6 dps.\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 105 = 0, -2*a - 271 + 229 = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 255.83 and -5.421177528?\nAnswer: 261.251177528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 9:37 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 3}. What is prob of sequence qc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Which is the nearest to 0? (a) s (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -1. Let m(y) = -4*y**3 + y - 2. Let q(u) be the first derivative of -u**4\/4 + 5. Determine o*q(b) - m(b).\nAnswer: -b**3 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11943.3*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -5158694?\nAnswer: -5158694.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -532844*c**4 - 2*c**3*d**3 + 121598*c*d**2 - 1538*d**3 wrt c.\nAnswer: -6394128*c**2 - 12*c*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34263, 33508, 32753, 31998, 31243, 30488?\n\"Answer: -755*n + 35018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -8*u**2 - 5*u - 6. Let o(f) = -f**2 - f - 1. What is -b(n) + 6*o(n)?\nAnswer: 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 3*x - 2*x**2 + (-8 + 23 - 13)*(0*x + 2*x + 0*x)*(3*x - 2*x - 3*x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37858, 37866, 37872, 37876, 37878, 37878?\nAnswer: 37876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*r - 38262 + 58730. What is the remainder when r is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 13*a - 1. Let f(b) = -179 - 168 + b + 346. Determine -5*f(q) + t(q).\nAnswer: 8*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -8 - 18) + 20 - 24.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = 17*z + 32. What is the smallest common multiple of z and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.503628um?\nAnswer: 0.000503628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/5)\/((-3)\/(-15)). Suppose -7*w + a*w = -10. Let m(z) = -3*z**2 + z**2 + 4*z**w. Let k(x) = -x. Calculate k(m(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = -21*p - 3*p. Suppose 0 = 3*u - 2*u. Suppose o = -u*o - 4. Put p, -0.4, o in increasing order.\nAnswer: o, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-4 - -11 - -2) + -6 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 5*k = -9*r - 8*r + 14 - 51, -r + 3*k - 15 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1423\/231 - -304\/77. Calculate the common denominator of q and -13\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75104 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 9*r - 13. Let t be i(11). Let j = 38 + t. Solve 5*f - 2 = j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 - 8 = 0. Let z = 15 + t. Calculate the lowest common multiple of 10 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/78 and -29\/471.\nAnswer: 12246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + 0.12. Let u be (2\/(-12))\/(4*-2*(-1)\/(-16)). Let n = -0.5 + -1.5. Put 0.4, u, n, p in increasing order.\nAnswer: n, p, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(sqrt(11) + (sqrt(22)\/sqrt(2) + 2 - sqrt(11))) + (1*(sqrt(77)*1 + sqrt(77) + sqrt(77)))\/(sqrt(7) + -5*sqrt(7)*1))**2.\nAnswer: 171*sqrt(11)\/2 + 5267\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 51*o - 44 + 74, 60 = -4*y + 3*o for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*m + 132*m + 98*m - 627. Solve 4*p + z - 3 = 10, 4*z = m*p + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, 13, -1, 8, -3, -277 in decreasing order.\nAnswer: 13, 10, 8, 1, -1, -3, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0)*(-3 - -2). Let h(j) = -j**2 + j + 1. Let i = 2863 + -2869. Let s(t) = -6*t - 8. Calculate i*h(z) + y*s(z).\nAnswer: 6*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 1. Suppose -7*v + 113344 = -84*v. Let x = v + 1477. Sort -0.1, x, z in decreasing order.\nAnswer: x, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48130, 45733, 43336, 40939?\n\"Answer: -2397*q + 50527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**5\/2 + 69*l**4\/2 + 549*l**3\/2 + 1647*l**2\/2 + 324*l - 1458 = 0.\nAnswer: -9, -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 28*q**3 - 2 - 5*q**3 - 50*q**3 in the form s*q + o*q**3 + w + t*q**2 and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -512?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 136119.8 times 7?\nAnswer: 952838.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-6)*(-3)\/4. Let i = 0.2 + -0.1. Is i at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*g + 9, 0 = 5*g + 2*n - 26 - 4. Let j(p) be the first derivative of 3\/2*p**g - 6\/5*p**5 + 1\/3*p**6 - 1 + 0*p**2 - 2\/3*p**3 + 0*p. Factor j(f).\nAnswer: 2*f**2*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9831 + 3797?\nAnswer: -6034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {y: 10, i: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from {i: 1, y: 13, c: 3}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1931, -1939, -1947, -1955, -1963, -1971?\n\"Answer: -8*g - 1923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8508, 10895, 13282?\nAnswer: 15669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -26*o**4\/9 + 16958*o**3\/9 + 151022*o**2\/9 - 207614*o\/9 + 13220\/3 = 0.\nAnswer: -10, 3\/13, 1, 661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 24*v - 5*v. Let q(g) = 6*g**2 - 7*g + 16. Let f be q(v). Suppose 3*r - 14 = 22. Calculate the greatest common factor of f and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -15 + -25 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 307, 3.\nAnswer: -4, 3, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 48) + (618 - 518)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 + 86. Let y be (3\/1 - (o - -14)) + -7. Is (-3320)\/(-6) + y\/33 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -13. Suppose f*s = -0*s + 85. Let d = s - 14. Solve -d = -2*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 477026?\nAnswer: 477037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 - (-10 + 4)) + 13. Let o(c) = 9 - 5 - 6 - 17*c + 8*c**2 - t + 11*c - c**3. Determine o(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 111 = 3*n, n = -29*u + 32*u - 43. What is the least common multiple of u and 188?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 + -3 + 5 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 491064*y**2 - 31*y + 6. Is f(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = 0, -2*l - 25*v + 26*v = -3. Put l, 17, -5, -1 in increasing order.\nAnswer: -5, -1, l, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 1 + -3 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28962971 is divided by 25906?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-7\/3)*v*v*v**1*v)**(-2\/117) assuming v is positive.\nAnswer: v**(-16\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**4 + 250*f**3 - 3705*f**2 + 12980*f + 16940 = 0.\nAnswer: -1, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v + 23. Let h(t) = 20*t + 68. Let n(c) = -2*h(c) + 7*j(c). Let k be n(-3). What is the second biggest value in 0.9, 2\/7, -4, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -234.143347 to 2 decimal places.\nAnswer: -234.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/22)\/(40 - (-24084)\/(-594))?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 6449 + 3*k + 0*k - 2390 + 2035 to the form s + l*k and give s.\nAnswer: -6804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 152*a - 173*a + 3 in the form h + p*a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/77 and 109\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15232 + -7924. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -57\/17?\nAnswer: -57\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -42. Let u(k) = 3*k - 1. Let m be u(3). What is the smallest common multiple of i and 3\/4 - (-2)\/m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 7*c**2 + 5 + 20*c**2.\nAnswer: 23*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-25)\/(-15) - (-2)\/6. Let s(a) = 2*a**2 - 9. Give s(m).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -566 or 2\/7?\nAnswer: -566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 867*t - 3736*t + 469*t - 1813*t.\nAnswer: -4213*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(108\/(-2))*14\/(-210)*-15.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 140?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0)*(-64 - 0). What is the greatest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30577\/882 + 1500\/49. Calculate the common denominator of v and 2\/(-68)*(-86)\/(-4).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 + 28 - 143) + 136?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 5*o**2 + 2*o - 6. Let q be a(5). Suppose -q - 44 = -4*m. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.61*5\nAnswer: -8.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 635979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 471 by 4.\nAnswer: 471\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2103 (base 9) to base 8\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Let v(f) = -f**3 + 4*f**2 + f + 2. What is the remainder when v(4) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182 - 177. Solve -a + 3*n = 7, -2*a + 2*n = -a + y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -f - b, -2*b = -6*b. Let c be 4\/f + 129\/6. Let l = c - 17. Solve -l*i - 1 + 2 = 5*j, 0 = -4*i + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2403 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 664*x**4 - 14*x**3 - 45629.\nAnswer: 2656*x**3 - 42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 39 - 53 = 0. Suppose 4*l - 194 = -m. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*l**3 - 1 + (3*l - 5*l + 8*l)*(2*l**2 - 7*l**2 + 4*l**2) - 2*l**3 + 0*l**2 + 0*l**2.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 990 in descending order.\nAnswer: 990, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4)*1182\/12. Let l = 388 - s. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 - -21?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 4*h + 1. Let u be q(-3). Let t be 20\/(-15) + 372\/9. What is the highest common divisor of u and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**5\/60 - h**4\/12 - 2*h**3\/3 - h**2 + 15*h - 49. Let x be (-3*1)\/((-21)\/28). Let y be (-11 + 1)*x\/10. Calculate a(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*u - 13, 5*u - 1 - 2 = f. Let s be (3 + -4)\/1 + -8. Let r be s\/f + (-6)\/(-21). Sort r, -5, 5 in decreasing order.\nAnswer: 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 3 - 5*z - 21.\nAnswer: 3*z - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + ((-12956)\/(-369) - 6) - 2.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2.04.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491882 - 108*h - 245941 - 245941.\nAnswer: -108*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 1719 - 1699, -2*g + 3*i - 44 = -79 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000963 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbwm when four letters picked without replacement from {m: 2, b: 4, z: 1, u: 2, s: 6, w: 2}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = 5*m - 3*p, 2*m - 2*p = -4. Suppose -4*i + 8 = -4*j, -4*i + m = -3*j - 2. Which is the nearest to 0? (a) j (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*2\/28*-7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d + 3. Let j be 2\/(-8) - (-30)\/(-8). Let v be l(j). Suppose 4*t = v - 7. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/60)\/(4\/(-2424)). Let d = f + -47. Calculate the highest common divisor of d and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1486*s**2 + 705*s**2 + 749*s**2 in the form u*s + p + x*s**2 and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198 + -0.3.\nAnswer: 197.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 4 + 4)*(0 + 0 - 2*g**2) + 5*g**2 + 4*g**2 - 3*g**2)*(-2487 - 801 - 11757 + 1831) to z + p*g + a*g**2 and give a.\nAnswer: -52856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*658502\nAnswer: 329251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -a173d11?\nAnswer: a173d0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 382401?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1836735 is divided by 1836605?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -0.0756345\nAnswer: -0.0605076","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211*v**3 + 333*v.\nAnswer: -1266*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 - -66. Let w(a) = i*a**2 + 5 + 9*a**2 - 5. Let v(y) = -y. Calculate v(w(r)).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 4*w**2 - 4*w + 4. Let v be p(3). Let o be 5 - (-6 + (5 - -3)). Solve 0 = -3*h + 3*y - 3, -5*h - 4 - v = -o*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2150012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Suppose 143 = 5*m + i*t - 0*t, 116 = 4*m + 2*t. Let f(y) = -8*y - 5. What is the remainder when m is divided by f(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1203574, -2406354, -3609134, -4811914, -6014694?\nAnswer: -7217474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.975925 litres in millilitres?\nAnswer: 2975.925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21997*f**4 - 5134 with respect to f.\nAnswer: -87988*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h - 2*h + (-2 + 2 - 4*h)*(0 - 2 + 1) + 3*h + 3*h - 4*h - 2*h + 5*h - h + (-2*h + 0*h + 4*h)*(4 - 2 - 4) + h + 0*h - 2*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5320 is divided by 408?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*w + 25*w - 3*v + 15, 14 = 4*w + 2*v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10776.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-1 - -9) - (3 - -5 - -17) - 2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 6*x**2 + 204*x - 396. What is j(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -299 and 0.09 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*a - 3. Let z be (-2 - -3)\/(a - 2). Is 49 + (z - (-9)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 - h**2 + 28 - 64 + 30 in the form a*h**2 + m*h + f and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -258, 3, 3\/7, 2\/11, 2, -45?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 5, -12, -2\/7, -1\/2, -0.062, 4\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 + 4*x**3 + 2*x**3 + 1 + 2*x**3 wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - r, -5*r + 7 = -3*w - 1. Let p = 229 + -73. Suppose 158 - p = 2*k. Sort w, -1, k, -5.\nAnswer: -5, -1, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4254, 4, -0.2, -4\/393?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 6*x**2 + 7*x + 5. Let o be m(7). Let l(d) = -5*d + 7. Let h be l(7). Let k = h + 28. Solve 4*w + 5 = o*a, w = -2*a - 11 - k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1042*d + 2211*d - 98*d**2 - 1169*d.\nAnswer: -98*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 803*y**2 - 6*y - 3. Is i(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -22*c - 248. What is the remainder when 35\/1 + 0 - -1 is divided by w(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-4\/5))**46)**13)**47)**(-21) assuming z is positive.\nAnswer: z**(-590226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 11. Let z be (-158)\/14 + 36\/126. Let x be r(z). Suppose x = 38*i - 40*i - 4. Is -22\/9 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588 and 313740?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117565*a**3 + 162904*a**2 wrt a?\nAnswer: 705390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -107 and 0.11.\nAnswer: -11.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 171396790673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*i = -92639996, 23*z - 19*z + 123519998 = -i. What is z rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1998819 to the nearest one thousand.\nAnswer: -1999000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.14 from -43741399525.\nAnswer: -43741399525.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3\/4*p**2 - 6*p**3 + 6*p + 3\/4*p**4 + 0 = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 7 + -3 + 7 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 268 = 5*m, 4*m = y + 2*m + 280. Let x = -153 - y. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 604*o - 4. Let q be m(1). Suppose 4*h - 490 - 3 = 5*c, 0 = 5*h - 3*c - q. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 7, n: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsgf when four letters picked without replacement from {c: 2, s: 1, f: 3, g: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 2.1 (c) -3\/7 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 6, k: 1, u: 1, t: 9}. Give prob of picking 1 k, 1 y, 1 v, and 1 u.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t**2. Let h(s) be the first derivative of 5*s**2 - 4*s - 5384. Give w(h(i)).\nAnswer: -600*i**2 + 480*i - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/11, -2\/5, -28269, -3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 434 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 898 or 657?\nAnswer: 657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3923.45 nanometers?\nAnswer: 0.00000000392345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34597604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -17 - (-5 - -4 - 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5004585?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = -0*c + 70. Suppose y = -c*p + 2*y + 105, -4*y = p. Calculate the remainder when 70 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and -3?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 114*q**2 + 2*q + 1. Let x be l(-1). Solve 96*b = x*b + 102 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(2\/21)*t*t*t**(4\/17)*t**(-5)\/t**(-7) assuming t is positive.\nAnswer: t**(1903\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5321 and 15268453?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + d**2 - 2*d)*(-7 + 2 + 1)*(5 - 3 - 5)*(-19 + 41 + 54) in the form a + c*d**2 + s*d and give c.\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/21 (b) -1\/4 (c) 4 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 6, -13 in descending order.\nAnswer: 6, 5, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Sort r, 5, -2 in ascending order.\nAnswer: -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7918 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40233 + -1505622?\nAnswer: -1545855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 238 = -10*z. Let l(q) = q**2 + q - 2. Let b be l(2). Let c = b - z. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -2, 0, 3, -21 in ascending order.\nAnswer: -21, -2, 0, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.5 (c) -2 (d) -5 (e) 2\/9 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1231296, 1230848, 1230410, 1229988, 1229588, 1229216, 1228878, 1228580?\n\"Answer: y**3 - y**2 - 452*y + 1231748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -p + 5*p. Calculate the remainder when 15 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92219809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 103*l**5\/60 + 67*l**3\/6 + 92*l**2. Differentiate n(h) with respect to h.\nAnswer: 206*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246523.35964313+-0.1\nAnswer: 246523.25964313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (1\/3)\/(6\/36). Sort -1\/6, c, 6.\nAnswer: -1\/6, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28039, -56190, -84357, -112546, -140763?\nAnswer: -169014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 3*j**2 - j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20986.\nAnswer: 2, 7, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 22. Calculate the greatest common factor of 88 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22624, -22615, -22606?\nAnswer: -22597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*h + 20 - 20)*(2 + h**3 - 2) + (3*h**2 - 3*h**2 + h**2)*(-5 - h**2 + 5).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 13*b + 2*b + 20*b)*(-5*b**2 + 3*b**2 - b**2) - b**3 + 2*b**3 + 18*b**4 - 7 - 17*b**4.\nAnswer: -2*b**4 - 26*b**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.684 - 0.634. Which is greater: j or 0.03?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 56 - 1932*d + 140 - 61 to f + w*d and give w.\nAnswer: -1932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 369017\/28 - 13176. Let g = 665 + -4631\/7. Let r = g - h. Which is the second smallest value? (a) r (b) -1\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 166\/(-1288) + (-7)\/(-322).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 5:49 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583331 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: -1038771*0.053\nAnswer: -55054.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.17 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66*w**3 + 4*w**2 + 468 wrt w?\nAnswer: -198*w**2 + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024157.\nAnswer: 19, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15128998.\nAnswer: 2, 7564499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87)\/87*-2*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**3 + 2*a**2 + 2*a - 3. What is the tens digit of p(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 - (69 + (70 - 35)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.93710719 times -6\nAnswer: -5.62264314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i**3 + 12*i**2 + 1. Let n(g) = -15*g**3 - 25*g**2 - g - 1. Let x(a) = 6*n(a) + 13*u(a). Let m be x(-7). Solve c - 6 + 2 = m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from keokkeeekee?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (608\/190)\/(4\/10*1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8959319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = 1836 - 1916 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2240120 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1458, 1452, 1444, 1434?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 367688007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**(2\/5))\/q)**(2\/97)*(q**(1\/4))**(-34)*(q**1)**(-28)\/(q\/q**(-2\/11)*q*(q\/q**(-3\/4))\/q) assuming q is positive.\nAnswer: q**(-840859\/21340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, 248, 256, 258, 248, 220?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314 = -5*d + 3*u + 317, 5*d = -5*u - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -61676, -61701, -61714, -61709, -61680, -61621, -61526, -61389?\n\"Answer: b**3 - 32*b - 61645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 20. Let h be n(13). Which is the second biggest value? (a) -0.5 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -56, -7.\nAnswer: -56, -7, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 51 = 42 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 17 + 463*o - 461*o + 5*o**2 + 4*o**2 + 3. Let t be w(0). Solve -3*c = 2*c - t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2 - 709196*v + 2127606 = 0.\nAnswer: -354601, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 9)*((2*p + 0 + 0)*(-5*p + 3*p + 3*p) - p**2 + 6*p**2 - 3*p**2).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -36. Solve 4 = -f*x + 11*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**3 + 3*b**2 - b - 2. Let v be x(2). Let q be (-153)\/2 - 8\/v. Let t = -54 - q. What is the remainder when 86 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:51 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -584529028, -1169058056, -1753587084, -2338116112, -2922645140, -3507174168?\n\"Answer: -584529028*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 - 2 - (-2640 + 2683)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*r**2 + 9 + 2 + 34*r**2 + 10 + 31.\nAnswer: 180*r**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**2 + 16*l - 260. Calculate k(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592) + (0 + sqrt(2592) + -3)**2 - (sqrt(352)\/(2*sqrt(11)) - (sqrt(256)\/(sqrt(16)\/sqrt(2)) - sqrt(32))))*-1.\nAnswer: -2601 + 182*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 0)\/(0 - 2). Which is the smallest value? (a) -4 (b) z (c) 2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -2 (c) -30 (d) 2\/139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8189799 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33183*c*w**3 - 2*c*w - 11*c + w - 2 wrt w?\nAnswer: 199098*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -205, -219, -251, -307, -393, -515, -679?\n\"Answer: -p**3 - 3*p**2 + 2*p - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.74 and 12355?\nAnswer: -70917.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4328 + 722824.\nAnswer: 718496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40507 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -2723618, -5 in ascending order.\nAnswer: -2723618, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-570))\/(6\/(-2))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxm when three letters picked without replacement from {x: 5, z: 1, e: 3, m: 1, j: 2, f: 1}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 + 12 = u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12\/11)*s\/s**(-13))**(-14\/3)*s**(1\/2)\/(s**1*s*s)*(s**3\/s)\/(s\/((s\/(s*s**(-2\/7)))\/s)) assuming s is positive.\nAnswer: s**(-28855\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m. Suppose -3*n + 3*j + 2*j - 26 = 0, 3*n + 2*j - 2 = m. Let i be 3 - (-2 - -2) - n. Solve 5*z = -i*t + 15, -4*z + 6 = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002149 to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -171161\nAnswer: 2\/171161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39\/2 - -22. Let h(t) be the first derivative of -t - 2 - z*t**2. What is the first derivative of h(d) wrt d?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**8\/336 - w**7\/70 + w**6\/40 + 11*w**5\/60 + w**4\/4 - 4*w**2. Factor m(h).\nAnswer: -h*(h - 2)*(h + 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403615.\nAnswer: 5, 89, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 4*q + 1\/6*q**3 + 0 + 1\/2*q**2. Give u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*g - 93*g + 2721 - 13779 = 0 for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 22, -11433 in decreasing order.\nAnswer: 22, 1\/4, -11433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1023469 - -5014469. Round l to the nearest one hundred thousand.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.3. Let f = -3 - -3.5. Sort h, -2\/7, f in increasing order.\nAnswer: -2\/7, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37962\/627)\/74*22\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t. Suppose -1226 - 918 = -4*g. Let x = -535 + g. Let w(m) = 4*m - 2. What is x*w(b) - 5*j(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 7*m + 3. Let s be q(6). Let h be (-16 + 2)\/(2\/s). Let o = -28 - h. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166*p - 28553 = 5261 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 13 = 14*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + (sqrt(60) - 3*sqrt(540)) + sqrt(60) + sqrt(60) + sqrt(60) - (sqrt(60) - (sqrt(300)*1)\/sqrt(5)))\/(sqrt(588) + 1*sqrt(588)*-1 + sqrt(588)).\nAnswer: -4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 2*n**2 - 3*n + 7. Let t be z(2). Let d(k) = 7*k**3 - k**2 + 2*k - 1. What is d(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/5, -0.5, 31, -2, -0.04 in descending order.\nAnswer: 31, 2, 1\/5, -0.04, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/8 of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -340*f - 10535. Let t be y(-31). Solve 0 = 3*s, -4*s + 0 + t = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1690 + 1697 + 15*b**3 - 3387 + 14*b**3 - 11*b**3.\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/((-5)\/2))\/6. Suppose 10*f = 6*f + 8. Let 4\/3 + i*s**f - 4\/3*s = 0. What is s?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(132\/27)*1\/6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-367044)\/(-14) - (11040\/161)\/48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19108 less than -19112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1661, -1712, -1809, -1952, -2141, -2376?\n\"Answer: -23*q**2 + 18*q - 1656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by -6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -4, 60, -2 in increasing order.\nAnswer: -6, -4, -2, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4171 - 0.3571. Which is the nearest to -2\/5? (a) 4 (b) p (c) -14 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a = 1471 - 1494. Let z be 3\/2 + 1\/2. Put z, a, 5 in ascending order.\nAnswer: a, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7 = 29*l - 30*l, -4*l = -3*q + 13. Let c = 65 - 2016\/31. Is c < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 60*k + 60. Is g(8) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*w**2 - 5209340*f*w**3 + 89*w**3 + 2*w**2 + 57264 wrt f.\nAnswer: 6*f**2*w**2 - 5209340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175545, -702153, -1579835, -2808591, -4388421, -6319325?\nAnswer: -8601303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1037, 6\/5, -4, 3363?\nAnswer: 3363","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/o**(1\/6))\/o)*o**(-6)*(o\/(o**(-1)*o)*o)**(-36))\/((o*o\/(o\/o**(2\/5)))**(12\/7)\/(o**(-2\/7))**(-19)) assuming o is positive.\nAnswer: o**(-15499\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-200))\/(24\/120))\/((-12)\/(-110)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n - 5*n**2)*((-3 + 3 + 1)*(2*n + 1 - 1) + 0*n + 0*n - n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -7*k**6\/30 + 7*k**3 + 18*k**2. Find the first derivative of s(u) wrt u.\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -6*r + 88. Let u = -78 - 321. Let b = -99 - u. Calculate the greatest common divisor of r and b.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t. Suppose -2*l + 25 - 1 = t. What is the greatest common divisor of l and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 2\/105*n**7 + 0*n + 0 - 1\/9*n**4 - 13\/180*n**6 - 1\/504*n**8 + 8*n**2 + 2\/15*n**5 + 0*n**3. Factor f(r).\nAnswer: -2*r*(r - 2)**2*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -4*n + 10. Let i = n + 2. Let q = i + 15. Which is the third smallest value? (a) q (b) 4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 12484976.\nAnswer: 112364784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 64 = -4*o - 57, -14*o - 25*o + 80 = -2*n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - u = -13, 0*u - 4 = 2*i + 4*u. Suppose i = 7*n - 3*n. Let t = -0.3 - 0.7. Which is the closest to t? (a) n (b) -5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - v. Let w(y) = y**2 - 1. Let c(s) = -3*a(s) - 3*w(s). Factor c(j).\nAnswer: -3*(j - 1)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1328, 1325, 1322, 1319, 1316, 1313?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22581.3 or 455\/8?\nAnswer: 455\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 + -61 + (3 - 48).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 4*i - 8*i = 0, 4 = 4*a + 2*i + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 12}. What is prob of sequence ss?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 4\/573, 0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -26*p - 21. Suppose -r = 9 - 2. List the prime factors of v(r).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(1 + sqrt(5)*-3) + 0 - -4*-5*((sqrt(5) + 3 - sqrt(5)) + 3))**2.\nAnswer: -4536*sqrt(5) + 17501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*h + 9*h - 24*h**2 - 21*h to c + q*h + z*h**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {i: 4, f: 6, o: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((936\/(-195))\/(-1 + -1))\/((-26)\/(-203255)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2141971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, e: 4, x: 4, z: 2}. Give prob of sequence xzel.\nAnswer: 8\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(1050\/1960).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77308124116099.8000101 - 77308119008962. Let l = s - 5107118.5. Let j = l + -19.3. What is j rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**3\/3 + 5*r**2 - 28*r + 24. Let n be s(-13). Suppose 2427 = -8*d + n*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(1 - 2 - 2)*(8*b - 8*b + 4*b + 4).\nAnswer: 36*b + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/8 - 69*m**2\/4 - 285*m\/8 - 18.\nAnswer: 3*(m - 48)*(m + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10770*m = 10787*m - 255 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 2*h - 2*h)*(96*h + 4 - 57*h - 46*h) to d + j*h**2 + t*h and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 7*a + 14. Let g be h(8). Suppose 20*s + 6 = g*s. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2*3\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -528 + 528 - 76*u.\nAnswer: -76*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/662 and -105\/832?\nAnswer: 275392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219.779 - -220. Let p = r + -0.22668. Round p to 4 decimal places.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1449628, 1449626, 1449624, 1449622, 1449620?\n\"Answer: -2*n + 1449630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8388 not equal to -8553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76796717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m + 0*m)*(-29 + 29 - m**2 + (-3*m + 2*m + 3*m)*(0*m + 2*m - m) - 2*m**2 - m**2 + 4*m**2 - m**2 + 0 + 0 - 2*m**2 + 217*m - 436*m + 217*m).\nAnswer: -2*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -41.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177379, 354758, 532137, 709516, 886895, 1064274?\nAnswer: 1241653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 4*w**2 + 0*w**2)*(12*w + 6*w - 6*w).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 770766809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f*m**2*u**2 - 26*f*m*u**3 - 27*f*u**3 - 337*m**2*u**3 + m*u**3 + 2*u**3 wrt m.\nAnswer: 12*f*u**2 - 674*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**3\/3 + 3*c**2 + c - 167. Give g(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -39*c - 4 + 15*c + 348241*c**2 - 348228*c**2 - 8*c**3. Let t(m) = -2*m**3 + 3*m**2 - 6*m - 1. Determine -9*t(o) + 2*w(o).\nAnswer: 2*o**3 - o**2 + 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5368 = -19*x + 15*x - 5*o, 4*x + o = 5384. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 6:20 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-358)\/(-2327) - (258\/(-13))\/1. Solve 99 = x*o - 53*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 + 8 = 0. Suppose 0 = m - 10 + 5. Let a = 3 + -1. Sort x, m, a.\nAnswer: x, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwjjjwwjwwjw. What is prob of picking 1 w and 2 j?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 1\/5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 66000 divided by 4125\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, -1, 14.\nAnswer: -7, -1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**4\/4 - v**3 - v**2\/2 - v + 1. Let k be 1\/(((-3)\/9)\/1). Let a = k + 1. Calculate i(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(4\/2)*10*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10 - 3*h + 28*h + 2*h - h. Let c(p) = 5*p - 2. Suppose 2*i - 23 = -3*t, 4*i - 27 = -5*t + 22. Give i*c(v) - 3*r(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-22))**(3\/32)\/(i**41*i\/(i\/(i**(-3\/10)\/i))) assuming i is positive.\nAnswer: i**(-3341\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 0 - (-66)\/6. Let i(n) = n**2 + 7*n + 3. Let t be i(-8). What is the derivative of 10 - 1 - 7*u + t*u + x*u wrt u?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a68 - 4?\nAnswer: -a6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26308578 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - a**2 + 2*a + 1. Let f be l(2). Let y = -10 + f. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/66)\/(3*(-8)\/144)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -41*f**4\/12 + 4*f**2 + 29*f + 14. Let s(p) be the first derivative of t(p). Differentiate s(i) with respect to i.\nAnswer: -82*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -13*y. Let x be h(-3). Let o = x - 20. Solve z + 3*z = 3*g - o, 5*z + 4*g = -16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.14566 to 2 dps.\nAnswer: 3.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576) + 5*sqrt(576))\/(sqrt(98)*-2 + sqrt(2) - sqrt(98)*-2).\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1098 - 382. Let a = -716.000758 + d. What is a rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(288) - 5*(sqrt(288) - (sqrt(288)*1 + sqrt(288))))**2 + sqrt(288)*-2 + 5.\nAnswer: -24*sqrt(2) + 10369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/2 or -9?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i**2 + 147*i**3 + 199 - 3 + i - 194 to the form g*i**3 + t + s*i + f*i**2 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-10)\/5670*-6?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4749336 to the power of 1\/2, to the nearest integer?\nAnswer: 2179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -35*x**4\/4 - 2*x**3 + 3*x**2\/2 - 81*x + 298. Find the second derivative of h(l) wrt l.\nAnswer: -210*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -261, -255, -241, -219?\n\"Answer: 4*j**2 - 6*j - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -182*s + 1213. Give d(6).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.0381 + -11.846. Round d to two dps.\nAnswer: -1.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 3:37 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*w**2 - 299\/2*w - 89401\/4 = 0. Calculate w.\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - c - 1. Let u(v) = -116 - 2*v**3 - 15*v**2 + 78*v + 0*v**3 - 32 + 26. Let w(r) = 3*a(r) + u(r). Find n such that w(n) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -484, -873, -1252, -1615, -1956, -2269, -2548?\n\"Answer: i**3 - i**2 - 393*i - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 104333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = 0, 5*x + 47 = 5*g + 232. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -50*i**3 + 4*i**2 - 4*i - 84. Let p(h) = 51*h**3 - 5*h**2 + 5*h + 85. Let w(d) = 4*p(d) + 5*y(d). What is the first derivative of w(t) wrt t?\nAnswer: -138*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 + -3?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 794 + 208. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -995*c + 11003. Determine k(11).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (56 - (0 - -1)) + (-77 - (32 - 101)) + -9\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.04 - 0.04. Let g = k + 3. What is the closest to 0 in 4, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*r + 15, 12 = 2*p + 2*p + 2*r. Suppose 0 = p*a - 0*a + 5*w - 95, -3*a - 2*w + 110 = 0. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713037 is divided by 155.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 9*p + 4*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 374.8641 litres?\nAnswer: 374864.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 11) to base 4.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153702 and 22.\nAnswer: 1690722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2*p**3\/3 + 4*p**2 + 6*p + 1. Let x be r(-5). What is the greatest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 4*q - 362 = 5*u, -4*u + 2*q + 300 = 0. Is u bigger than 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13117 or 13093?\nAnswer: 13117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212879389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728476011.\nAnswer: 151, 2861, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**6\/120 - g**5\/12 - 7*g**4\/24 + 4*g**3\/3 + g**2. Let p be l(-6). What is the remainder when (2\/2)\/(2\/p) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + p + 77, 61*h + 3*p = 58*h - 51 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1761977 to the nearest 10000.\nAnswer: 1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 7*u - 3*u. Let r be (-24)\/108 - 20\/(-9). Suppose r*z = w - 5, -2*w + 2 = -2*z - 6. What is the least common multiple of u and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + -144?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000141043 to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4681, -9360, -14039, -18718?\n\"Answer: -4679*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1061382*o. Let x(v) = 2*v. What is x(n(j))?\nAnswer: 2122764*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4250 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4 - 9. Suppose 54 = t*a - 5*g - 46, -35 = -2*a + 3*g. Suppose 0*z - 5*z = -a. Solve -x = z*d - 15, -d + 0*d - 2*x + 3 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 4*h - 1386. Suppose 0 = -6*q + 16*q - h. Calculate the highest common divisor of q and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - 5*k)*(53 - 4 - 31) + 2*k - k - 2*k + (-5 + 3 + 4)*(2 - 2*k - 2) + 2*k + 0 + 0.\nAnswer: -39*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -44 times 1.39346\nAnswer: -61.31224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - (-3 + 2)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 562 = -8. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77690 and 2720?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-4)*2\/(-3))\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1317263, -2634500, -3951727, -5268944, -6586151, -7903348?\nAnswer: -9220535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 9*l**2 + 9*l + 3. Let r = 30 + -13. Suppose -r = -4*j - 5*o, -o + 5 = j - 0*o. Let a be z(j). Calculate the highest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/15 and 29\/81042.\nAnswer: 405210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2830*w + 125221 + 404496 = -9489*w for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22981, -2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 p, 1 d, and 1 f when four letters picked without replacement from {f: 8, p: 5, u: 2, y: 2, d: 2}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1625793, 3251579, 4877353, 6503109, 8128841, 9754543, 11380209?\n\"Answer: -w**3 + 1625793*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -67*l - 3444. Give g(-52).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v - 39. What is x(-12)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 12*m. Factor 0 - 1\/5*r**4 + 0*r + m*r**3 + 0*r**2.\nAnswer: -r**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17499.\nAnswer: 3, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 10:27 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**4\/24 + 2*h**3\/3 - 2*h**2. Let t be n(0). Suppose -a + 93 + t = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 313 (b) 3 (c) -8 (d) -0.1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(17) + -4)*6*6 - (sqrt(17) - (-2 + sqrt(17)))*5*2*5) + -3)**2.\nAnswer: -56304*sqrt(17) + 241009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 625.76 centimeters?\nAnswer: 6257600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85666\/4642 + (-6)\/(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 13*v - 46. Let m be w(-5). Which is bigger: 92 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v - 2*v. Suppose 4*f - 7 - 53 = v. What is the least common multiple of 35 and f?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 - 5464*l**2 + 227724*l = 0. Calculate l.\nAnswer: 0, 42, 5422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.982 + -3.182. Sort 0.3, -42, -0.1, v in increasing order.\nAnswer: -42, v, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - 1 + 0*p**2 - 17*p**3 - p**2. Suppose -47 = -29*i - 37 + 19. Calculate m(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 511) + 12 + -5. Let l = h + 508. Solve 4*m + 16 = -5*z, -l*m = -2*m - 3*z + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 305*5\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 36*f**2 + 32*f.\nAnswer: 4*f*(f + 1)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 5*h**2 + 5*h + 3. Let u(q) = -q - 20. Let o be u(-14). Give d(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407560427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19361, 38725, 58093, 77465?\n\"Answer: 2*a**2 + 19358*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/7*q**2 + 0 + 2\/7*q**3 + 0*q = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 + (-68)\/8)*(0 - -2). Let a(i) = -66*i - 20. What is the tens digit of a(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 4*j - 4*j)*(3*j**4 - 494 + 494).\nAnswer: -27*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -851 + 424 + 3354*v**2 - 1716*v**6 - 252*v**2 + 427 wrt v?\nAnswer: -205920*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 61902540378564.\nAnswer: 61902540378564.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*h - 0*h + 9773. Let p = h - -339. What is v in 0 - 4\/3*v**p + 4\/3*v = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-35))\/(((-6)\/(-4))\/(845\/(-338)))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 18*r**3 + 5*r**2 - 4*r + 131. Is 5 a factor of w(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27167845 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-2)\/16)\/((2\/40)\/((-1722)\/(-210))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -940 divided by 584\nAnswer: -235\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}