diff --git "a/data/dm_maths/full_data_1/11173_11255.jsonl" "b/data/dm_maths/full_data_1/11173_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11173_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the yth term of 3028, 12127, 27298, 48547, 75880, 109303?\n\"Answer: y**3 + 3030*y**2 + 2*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -67*f**4 - f**2 + 44*f + 30. Find the second derivative of a(j) wrt j.\nAnswer: -1608*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21602*j**3 - 98762*j**3 - 42973*j**3.\nAnswer: -163337*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 38*m**2 - 5*m + 8. Let u(g) = -25*g**2 + 3*g - 5. Let d(p) = -5*a(p) - 8*u(p). Determine d(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 3796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 328 and 1025?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d**2 + 6*d + 10. Let t be (-1)\/(-1) + -7*(-56)\/(-98). Let b(r) = 3*r**2 - 2*r - 3. Determine t*k(n) - 10*b(n).\nAnswer: -6*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*n**4 - 26 - 2334*n**2 + 533*n**2 + 8*n**5 + 26 wrt n?\nAnswer: 480*n**2 - 936*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1425200 - -1?\nAnswer: 1425201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/112*(-11)\/32 and 71\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 = -6. Let k be 1\/g + 1\/2. Let m(c) = c**3 - c + 10. Let j be m(k). Solve 3*y - j = -22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.667 + 1.143. What is c rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786*z**4 + 25922*z**3\/11 - 86508*z**2\/11 + 160*z\/11 = 0 for z.\nAnswer: -5, 0, 8\/4323, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 4*m - m)*(45*m - 14*m**2 - 45*m + (0 - m + 0)*(-m + 2*m + 0*m) + (0 + 2 + 0)*(-m**2 + 2*m**2 - 2*m**2) - 4*m**2 - 2*m**2 + 5*m**2).\nAnswer: 54*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-11 - 161\/(-28)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190885290 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 351388.3 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 3*h**2 + h - 4. Let j be u(-3). Let g = -7 - j. Suppose g - 5 = -a. Solve 2*t = 2*v + 4, -4*v = a*t + 1 - 29 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 divide 11856842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = -u. Suppose u*a + 3 = 2*a. Let g = 2 - a. Sort 0, g, -4.\nAnswer: -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 463, 1092, 1721, 2350?\n\"Answer: 629*q - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-40)*5\/6*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8744.333l in millilitres?\nAnswer: 8744333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -311*t**2 - 515*t**6 - 31*t + 180*t**2 + 133*t**2 wrt t.\nAnswer: -61800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1454492198, 1454492197, 1454492196, 1454492195, 1454492194?\nAnswer: 1454492193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 15244\/4061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1304 and 6.\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*i - 0*a + 82, -3*a = -9. Let c be ((-8)\/14)\/((-4)\/i). Solve -5*v - 5 = -4*x + 3*x, -5*v = c*x + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26930*a*n**3 + 8716965*a - 11*n**3 wrt n?\nAnswer: 80790*a*n**2 - 33*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-13.8.\nAnswer: 41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.86 - -0.14. Let h = x - 14.9. What is the second smallest value in 1\/8, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 333.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 + -1.8. What is the third biggest value in -3, 0, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 1. Let p(c) = 4*c - 6. Let b(n) = p(n) - 6*x(n). Let k(m) = 31*m. What is b(k(a))?\nAnswer: -62*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4767.\nAnswer: 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 74209722.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h = -0 + 209 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -109.\nAnswer: -33\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0225? (a) -0.0616 (b) 1 (c) -9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 28 + -39.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572295594.\nAnswer: 2, 3, 13, 47, 156109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 576 - 2323\/4. Calculate the common denominator of k and -101\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 - 3873*x**2 - 7755*x - 3879 = 0.\nAnswer: -1, 1293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 33*k + 208. Give t(38).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**6\/40 - j**5\/15 + j**3\/3 + 3*j**2\/2 - 2. Let g(y) be the second derivative of a(y). Is g(3) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -289, -557, -803, -1027, -1229?\n\"Answer: 11*r**2 - 301*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3202149 is divided by 2450?\nAnswer: 2449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -28. Suppose s = 3*r - 7 - 113. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37953.3*2.\nAnswer: 75906.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7 + 8*j - 3 - 7 + 0. Is l(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 421455450 - 3?\nAnswer: 421455443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/14*1)\/(21\/294)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -636*l**3 + 147*l**2 + 1119*l - 279. Let z(f) = -148*f**3 + 37*f**2 + 280*f - 70. Let j(b) = 2*t(b) - 9*z(b). Determine v, given that j(v) = 0.\nAnswer: -2, 1\/4, 12\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 12:51 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 13*s**2 - 10*s + 34. Determine u(12).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5.9 (b) -4 (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 0 - (0 - 0). Let k = -70 + 65.1. Let b = -5 - k. Which is bigger: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/12)\/(2 - 0). Suppose 15*b - 13*b - 8 = v. Solve 0*l - 3 = -l + 3*n, 0 = b*l + 4*n + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3172 - 0.0828. Which is the nearest to 0? (a) j (b) -0.29 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 2616.\nAnswer: 261.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22020122111011 (base 3) in base 6?\nAnswer: 233532434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 415 - 394. Calculate 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 -s = 1, 3*i - 14*s - 19640 = -15*s. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -690, 0.7, 0.02?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*v = -0*v - 1, 2*h = -v + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 + 3 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 - 214*w**2 + 38*w - 193. List the prime factors of d(-108).\nAnswer: 19031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, e: 14}. Give prob of picking 2 r.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, a: 2, q: 2, c: 2, z: 2}. What is prob of sequence cqe?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*x + 969*x**3 - 137*x.\nAnswer: 969*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38136118 to the nearest integer?\nAnswer: 6175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 36681780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 311.2 - 277. Let h = -34 + r. Let o = -667.8 + 668. Which is the nearest to o? (a) 3 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t**4 - 14*t - 10*t - 3 + 2 + 28*t - 6*t + t**3 to the form k*t**3 + o*t**2 + g + f*t**4 + y*t and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 + 8740*o**3 - 17483*o**2 + 8742*o.\nAnswer: o*(o - 1)**2*(o + 8742)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5 = 3*s - 3, -2*o - 8 = 0. Suppose 5*l - 23 = s. Solve 0 = -l*d - 10, 2*f - 2*d = -3*d - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4091 times 0.10699\nAnswer: 437.69609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7910, -29, -1\/5?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9696170 and 214280.\nAnswer: 38784680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.9, -0.3, -3, 2, -0.5.\nAnswer: -6.9, -3, -0.5, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 1227898664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42118072*h**2*u**4 + 88*h**2*u**2 - 157022*u**2 wrt u.\nAnswer: 1010833728*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 - (-4 + 0 - -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3009354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/((-5*sqrt(66))\/sqrt(6)).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 40 + 120 = 0. Solve 8*m = 18*m + f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -107004?\nAnswer: 106777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**5\/20 - 5*n**4\/12 + 3*n**3\/2 + 19*n**2\/2 + 2*n. Let x be y(-6). Is 3\/31 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 6:27 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/2, -2.327, -0.01 in increasing order.\nAnswer: -11\/2, -2.327, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)*l**(-1)*(((l**1\/l)\/l)\/l)**(-12) assuming l is positive.\nAnswer: l**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 + n - 7. Let p(m) = -2*m**2 - 6. Let y(u) = -3*h(u) + 4*p(u). Let w be y(-2). Solve w*s - 2*s = 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1886 = -22*q + 1974. Let j(i) be the third derivative of -6*i**2 + 1\/8*i**q + 0*i + 0 + 0*i**3. Let s(d) = 2*d**2. Calculate j(s(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 314 - 603. Let o = -288.99 - v. What is the third biggest value in -16, o, 0.2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*n**2*u**2 - 7*n**2*u - n**2 - 10*n*u + 714*u**3 - 28*u wrt u.\nAnswer: 30*n**2 + 4284*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9155 + -2.915439735. Round t to 7 decimal places.\nAnswer: 0.0000603","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-63))\/(12\/(-70))*6\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r + 4*r - 3 + 1 + 15. Let k(d) = -7*d - 12. Let w(g) = -4*k(g) - 3*t(g). Let z = -5 - 1. What is w(z)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11909002.\nAnswer: 2, 7, 383, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 173, 400, 719, 1130?\nAnswer: 1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123*g**5 + 132*g**2 wrt g.\nAnswer: 7380*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -86*a + 26. What is the hundreds digit of d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -819.559 rounded to the nearest 10?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*f = 619997, -5*f = -2*g - 0*g - 247995. What is g rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 158\/15 and 12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22011211121 + 2?\nAnswer: -22011211112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 3*n + 2. Suppose -66*i + 189 = -59*i. What is the remainder when w(6) is divided by 108\/90*-3*(-240)\/i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -759*h + 131. Let y(n) = -269*n + 44. Let w(f) = -6*u(f) + 17*y(f). What is w(6)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r**3\/4 + 25*r**2 - 73*r\/4 - 5\/2 = 0 for r.\nAnswer: -2\/17, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 5.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -3*p + 21. Let k be (-30)\/(-8) - p\/64. Differentiate k + 5 + 13*d - 16 + 12 wrt d.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(98) + 1).\nAnswer: 2 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 434.4295182 and -0.7?\nAnswer: 435.1295182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3 + 6. Suppose r = 3*q - 2, -a*r - 1 = q - 15. Solve 6 = -3*h - q*l, -h - 9 = 2*h + 3*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -169, -682, -1535, -2728, -4261, -6134, -8347?\n\"Answer: -170*r**2 - 3*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*(1*(4 + 1 + sqrt(2736) + sqrt(2736)) - (4 + (sqrt(2736) - ((sqrt(2736) + 0)*3 + sqrt(2736))))))**2.\nAnswer: 9720*sqrt(19) + 5540481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/36)\/(998\/96806)?\nAnswer: 97\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/211, 41, 4, -3 in decreasing order.\nAnswer: 41, 4, -2\/211, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 18*q + 1\/20*q**5 + 3\/2*q**2 - 1 - 7\/12*q**4 + 1\/6*q**3. What is m(6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 808864 and 116494?\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 6 = -5*c, 5*f - 184860*c = -184855*c - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 4:12 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*g = 175*g - 231. Solve v + q = 2*v + g, q + 9 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07, 3, -0.2, 3387?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - 126*q**2 - 122*q + 56. Give i(-62).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + -193 + 167?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(12\/4)\/((-2)\/1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (597 - 597 + 188*h**2)*(-4*h**3 + 2*h**2 + 0*h**2 + 3*h**3).\nAnswer: -188*h**5 + 376*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.05 + -0.05. Let u = 16 - 33\/2. Let r = -6\/13 - -25\/26. What is the closest to u in 2\/13, x, r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5074889697.\nAnswer: 3, 37, 359, 42451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11824970953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-6)*(100\/80)\/((-140)\/192).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a milligram in micrograms?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 158 = 5*o, 6*o - i = 8*o - 64. Suppose -5*c + 5 = 15. Calculate the remainder when o is divided by (c + 22\/8)\/((-5)\/(-80)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130346995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, n: 3}. Give prob of sequence nn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = 5*x, -2*a - 4*x = x - 1. Solve -c + 2 + a = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282563710712074 + 0.1.\nAnswer: 282563710712074.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -33. Let a be -8 - (m - -1) - (-2 + 1). Is 1847*-3*(5\/a)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 + 164*g + 11400.\nAnswer: (g + 100)*(g + 228)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3. Let t(a) = -a**2 + 5. Suppose -2*r = -2*l - 4, r - 1253*l + 1251*l - 8 = 0. Calculate r*t(q) - 7*c(q).\nAnswer: 4*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 31034*r - 31076*r - 5.\nAnswer: -42*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**3 - 24*a**2 + 24*a - 8. What is the thousands digit of l(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 9:09 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 plus -17997910.51?\nAnswer: -17997910.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133 (base 5) to base 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/1 - (2 + -2). Suppose x + 4*j - 11 = 0, -2*x + p*j - 3*j + 8 = 0. Solve 4*v + x = -5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/21 - 12\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5390, -21570, -48536, -86282, -134802, -194090, -264140, -344946?\n\"Answer: h**3 - 5399*h**2 + 10*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10)*z\/z**(-5\/2))\/(z\/((((z\/(z**(-4)\/z))\/z)\/z)\/z)*z**(-2\/9)))**(-2\/65) assuming z is positive.\nAnswer: z**(77\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 698338658 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2160550 and 345688.\nAnswer: 8642200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 10*o**2 - 10*o - 7. Let r be p(11). Let d be 2045*6000\/(-7 + r). What is d rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2495*m + 2489*m, 8*t = m - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**(9\/5))))**(38\/3)\/(v**(-1))**(-1\/10) assuming v is positive.\nAnswer: v**(-307\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -16. What is the tens digit of ((-22)\/w)\/(3\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15793*j**5 - j**3 + 251592*j**2?\nAnswer: -947580*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y\/(y\/y**(1\/8))*y*y)*y**(-31))\/(y**(-1\/51)\/y*y*y*y*y\/(y\/y**19)))**(-2\/11) assuming y is positive.\nAnswer: y**(22483\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -10. Let m(w) = -w + 11. Let y be m(q). Find the second derivative of 3*i + 0*i**y + 3*i**3 + i - 3*i wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763303301?\nAnswer: 763303301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11980 by -5.\nAnswer: 2396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q - 2*q + 3*q + (-q + 2*q - 3*q)*(1 + 3 - 9) in the form m + h*q and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 258.364*0.13\nAnswer: 33.58732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3248)\/(-224)*8\/4\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (77\/(-15) - (-8)\/60). Is 5 + 764\/4 + o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1771\/462)\/(1*60\/72).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 552*b + 7656. Calculate l(-12).\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -222 + 1550\/7. Let d = -7.6 - -7. Let t = d + -0.4. Which is the closest to -1\/4? (a) 2\/3 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/12, 8, -153\/4, -1 in descending order.\nAnswer: 8, -1, -13\/12, -153\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmkm. Give prob of sequence mm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 - 2*x**2 + 3. Let o(c) = 2*c**2 + 13 - 3*c**2 - c**2 - 7*c**2 - 17*c**3. Calculate 9*i(l) - 2*o(l).\nAnswer: -2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 4*s - 4. Let y(r) = 2*r + 5. Calculate the remainder when d(-3) is divided by y(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8531\/8 + -1069. Let t = s + 131\/56. Let c = -85 + 84.9. What is the nearest to t in -0.2, c, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-61 + (47 - 14) - 43)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 232, 9 in descending order.\nAnswer: 232, 9, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172 - (-9)\/(-72)*104 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10415 + 17?\nAnswer: 10432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 2*h**2 - 3*h + 4. Let o be s(-3). Suppose -5*q + q + o = 0. What is the units digit of q\/2*2*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 86, 95, 108, 125, 146?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -54693?\nAnswer: 1\/6077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*l + 30*l - 5*m - 14, 0 = -l - 4*m - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:44 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4030 and 986700.\nAnswer: 30587700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1173186369 to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 2:52 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 300 = 2*v, 292 = -4*k + v + v. Let x = k - -76. Solve -d + 2 = -5*i - 5, 4*d - x*i - 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 101 + 76 = 0. Let j = 2 + -2. Let r be (3 - 1) + j\/(-1). Put c, r, 3 in descending order.\nAnswer: 3, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18185241*v**2 + 16459720 wrt v.\nAnswer: -36370482*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00987219183 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6376222, 12752449, 19128676, 25504903?\nAnswer: 31881130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9819 rounded to 2 dps?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 292.5 + -17.5. Let p = g + -503. Let j = 228.127 + p. What is j rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 48 = -50, k - 2*b + 4 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 948\/18 - (-4)\/(-6). Suppose y - x = -3*y. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3\/5 + 15416*k**2\/5 - 7044756*k\/5 - 7060176\/5 = 0. Calculate k.\nAnswer: -1, 531, 3324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 b when three letters picked without replacement from {f: 1, b: 1, j: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (32 - 58) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/6 + (-4)\/6. Let x(g) = -3*g**2 - 3 - 2*g**3 + 3*g + g**3 + 6*g**2. Determine x(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/7 (b) -2\/13 (c) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(2\/(-57))*(-1)\/(-1). Calculate the common denominator of -93\/8 and v\/38*76\/(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*m + 2*m - 6, -5*w + 12 = 4*m. Suppose 4*o - 2*n - 48 = -w*n, -o - n + 18 = 0. What is the lowest common multiple of o and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 8*o**2 - 10*o + 9. Let b be n(9). Let z be (8020\/(-6) + b)*30\/(-20). What is z rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**3 - 247 - 7*h**3 - 213 + 240 - 124.\nAnswer: 2*h**3 - 344","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r**3 + r**2 + r + 1. Calculate u(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b. Suppose -3*d - 4*g = -0*g - 19, b = 5*d - 2*g - 23. Suppose 10 = -4*s - 3*k - 0, s = 3*k + d. Sort 1\/7, 0.02, s in decreasing order.\nAnswer: 1\/7, 0.02, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttwt. What is prob of sequence wt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*o**3 + 616*o**3 - 1145*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 304.946 + 1018\nAnswer: 1322.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t - 1. Let o(d) = -10*d - 4. Let v(c) = -2*o(c) + 7*p(c). Suppose 3*z - 142 = 2*h + 8, -250 = -5*z - 5*h. Let n = 55 - z. What is v(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 61, 158, 297?\n\"Answer: 21*u**2 - 8*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2. Let n = 38644 - 38624. What is the closest to z in n, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -116451*y - 23406644. Determine x(-201).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r\/r**(-3\/7)))\/r)\/r*r*r**(6\/5)*r*r)**(1\/9) assuming r is positive.\nAnswer: r**(97\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*p - 74*p = -13056. Which is smaller: p or -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.2 + 7.8. Let t = -7 + d. Let c = 0.02 - 0.12. What is the third biggest value in -4\/5, c, t?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*637\nAnswer: -38.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 37752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 5)\/(2\/(-5)). Let b be 209 - 0*1\/i. Suppose 3*g - 128 - b = 2*z, -3*g + 341 = -z. Calculate the remainder when g is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 229 - 235. Which is the nearest to -2\/3? (a) -2\/9 (b) -0.2 (c) -2\/5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*(sqrt(2) - sqrt(8)) - (sqrt(2) + sqrt(6)\/sqrt(3)*-3) - (sqrt(200) + (3*sqrt(200) + sqrt(200) - sqrt(200)) + 2))*-5)**2*3.\nAnswer: 432000*sqrt(2) + 8650800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 16465275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2317854 - -10088577\nAnswer: 7770723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 454602813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1880.60738435 and 2.\nAnswer: -1878.60738435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29560009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/3 and (2\/(-12))\/((-139)\/(-3475))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/40)\/(9\/(-24)). What is the third derivative of 237*s**l + 14*s**6 - 52*s**2 + 9*s**6 + 44*s**6 wrt s?\nAnswer: 8040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(-2\/7)\/i)\/i)*i*i\/(i*i*(i**5\/i)\/i*i*i)*(i*i**1)\/((i\/((i*i**(-1\/2)*i)\/i*i*i)*i)\/i))**4 assuming i is positive.\nAnswer: i**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -84\/127?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 3\/5 (c) 56 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1531, -24610, -69231, -135400, -223123, -332406, -463255, -615676?\nAnswer: -789675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 16 - 11 + 11 - c**3.\nAnswer: -c**3 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**2\/2 + 2*m - 7. Let k(c) = 2*c - 6. Suppose -13*q - 34 = 3*t - 18*q, -2*q = -10. Determine t*k(y) - 10*o(y).\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -53*c - 119 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 282 + -265. What is the remainder when 26 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 3:52 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326686911.\nAnswer: 11, 37, 131, 149, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996*m + 1097*m = 2165*m - 5400 for m.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*f + 12, -5*y = -15 - 10. Suppose 2*t - 5*c - f = 4*t, -2 = 5*t + 3*c. What is the remainder when 6 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31289.43 - -31132. What is q rounded to the nearest integer?\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h**2 + 8*h\/3 = 0 for h.\nAnswer: -8\/33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -4, 2\/5, -2, -611.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115.330428011267 + 0.000892544733. Let t = i - 1.331322016. Let s = 114 - t. What is s rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000111 + -10101?\nAnswer: 1001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjhmjjjm?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 3)\/(1\/(-8)). Suppose -k*q + 4*q = -24. Suppose q*i - 39 = 105. Does 24 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1446 divide 43673894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (7 - (2 - -2)). Suppose r*z - 528 = -3*z. Calculate the highest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -25. Let i = -108 - -95. Let h = p + i. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 8:45 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -11*o + 5*o. Suppose -3*g = 3*w - 4*g - o, 3*g = -4*w - 3. Suppose w*k + 2840 = 5*k. Round k to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 2:27 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6574256971 to the nearest integer?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -149, 4, -8424 in ascending order.\nAnswer: -8424, -149, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -45\/23?\nAnswer: -45\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/24 and 47\/240300?\nAnswer: 480600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.223931094 to 3 dps.\nAnswer: 0.224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1400986836.\nAnswer: 2, 3, 131, 419, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 0.57887.\nAnswer: 0.47887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + ((2 - 0) + -3 - (495 - 496))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62881.07ms in microseconds?\nAnswer: 62881070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49, -173, -379, -667, -1037?\n\"Answer: -41*h**2 - h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281804 is divided by 139910.\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6 = -x, -f = -x - 0*x. Is 3\/10 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 19000 = 4*i. Round i to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/((i*i**(-1\/4))\/i)))\/i)\/i*i**4\/i*i*i**(1\/4)*i**(-4\/9)*(i\/((i**2\/i)\/i))**(25\/6)*i*i**(-1\/2)*i*i*i**3*i assuming i is positive.\nAnswer: i**(110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 541 divided by -1\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n + 8 = -2*x, -2*n + 4 = -x. Let l be 21 - n - (8 + -10). Suppose -11 = 2*h - l. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1223960 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 799.2818ml in litres?\nAnswer: 0.7992818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 1\/50*n**5 - n + 20 + 1\/30*n**4 - 3\/5*n**3 - 9\/5*n**2. Let h(s) = 0. Calculate s.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 762.1133 centuries in months?\nAnswer: 914535.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -127614 (base 10) to base 5\nAnswer: -13040424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 24*d**2 + 2*d + 1. Suppose -20 = 5*t + 5*l, l = 5*t - t + 1. Let j be q(t). Solve j = 3*s + 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0 + 0)*(7 - 3*o**2 - 10 + 2).\nAnswer: -9*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1391\/4)\/(987\/12). Let p be (-2)\/5*20\/(-94). Let o = p - c. Calculate the common denominator of o and -95\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1303*n + 1319*n + 14 + 2 = 0. Let v(a) = 9*a + 11. Determine v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 11:09 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + j - 5)*(-3 + 7 - 5)*(4 + 0 - 5) + 81*j - 2 - 159*j + 38*j.\nAnswer: -39*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.4 - 0.4. Which is the biggest value? (a) 0.5 (b) v (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -679?\nAnswer: 3\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**4 + 0*o**2 - 5*o - 2*o - 2*o**2 + 5*o to z + p*o + u*o**4 + c*o**3 + l*o**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 133202 (base 5) to base 12\nAnswer: 3183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 69 = -11*n + 69 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 5*c**2 + 8*c + 8. Let j be a(-6). Let f = j - -1. Suppose 2*h = -0 + 2. Sort h, 3, f in decreasing order.\nAnswer: 3, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2491958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2\/(-4)*12*(-948)\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 318875*f*k**2 - 226394*k**2 with respect to f.\nAnswer: 318875*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from jaooai.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 69 = 2*y - 5*y, 2*y + 4*k - 60 = 0. Suppose -3*w + y = -2*w - 3*u, -5*u = w. Solve -c = -4*c + w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 2*t**2 - 7*t + 1. Let r(p) = 11*p**3 - 3*p**2 + 9*p - 1. Determine -h(q) - r(q).\nAnswer: -12*q**3 + q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 130454, 260911, 391372, 521837, 652306, 782779, 913256?\n\"Answer: 2*k**2 + 130451*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1350700 rounded to the nearest 10000?\nAnswer: -1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*b - 67, 5*b - 281 = -6*q + 2*q. Suppose -5*s = -309 + q. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-three sixths of a hour?\nAnswer: 13800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(228) + sqrt(228))\/(sqrt(12) - (sqrt(12) - sqrt(132)\/sqrt(891))).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -7*r. Suppose r = -4*d - 0*d + 8. Let w = 9 - d. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83447237 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + 122. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*q**5 + 1227*q**4 + 207*q**3 - 15555*q**2 - 11838*q + 2664 = 0. What is q?\nAnswer: -3, -1, 2\/11, 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11739.\nAnswer: 3, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1923 - -1957. Let d = a + -2211. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1923*v = 1910*v - 91 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2))\/sqrt(6) - (sqrt(3) - (sqrt(3) - (sqrt(6)\/sqrt(2) + -4))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 9375?\nAnswer: 103125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 34*y - 435. What is z(12)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1999494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367 divided by -4.\nAnswer: 367\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1 + 5 = -r, -4*r + 8 = -4*o. Suppose -4*d = -o*d - 12. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + x + 4*h - 7 = 0, -4*h = 4*x - 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -18. Let s(j) = j + 1. Let p(m) = -3*m - 4. Let u(x) = p(x) + 5*s(x). Let k be u(2). Solve -y - k = -r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8 = -2*y, 1 = -2*y - 3. Let d be (0 - 4)*3\/o. List the prime factors of (-4)\/d*(-33)\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/12 - -1*2\/1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/11)*j)**20\/(j*j*j**6*j)**(2\/91) assuming j is positive.\nAnswer: j**(41662\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -5*x - 2*z + 501, 5 = -5*z. Suppose -x = -5*b - 35. Suppose 29 = 3*k + b. Calculate the highest common factor of k and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0115 times 2.7\nAnswer: 0.03105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*c + 61. Let m = c - -64. Solve -4*z + m*v + 1 = 0, -3*z + z = -v + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 20 + -15 - ((-6)\/3 - -7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -2998.15?\nAnswer: 2997.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 5*f**2 - 4*f + 5. Let h be c(4). Solve 0 = -4*p + p + 2*l - 12, h*p = 2*l - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.13 - -7. Let x = 14.4 - 15.03. Let o = x - j. Which is the closest to -2\/11? (a) 2 (b) 1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -554, -2\/7.\nAnswer: -554, -2\/7, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/(-2) + (-2)\/(-4). Let f = -7 - k. Calculate the common denominator of 95\/12 and (f\/(-4))\/(24\/184).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15796 and 28952?\nAnswer: 10393768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.0623037\nAnswer: -0.2492148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -115*t**2 + 1690*t - 3715. Calculate j(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 161.5 and 16.48295.\nAnswer: 177.98295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 246 = 2*j, -q - 4*q - 2*j + 394 = 0. Let n = -28 + q. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83.7 - -170417910.\nAnswer: 170417826.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d - 23. Let g be y(-7). Suppose -16 = -6*x + 2*x, 0 = 3*h - 3*x - 525. Suppose 0 = -g*r + 2*q + h, -5*r + 61 = 2*q - 130. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -7. Suppose -c - 2*c + 45 = 0. Suppose -2*o + 5*t = 13, -o + 1 = 2*t - c. What is the smallest common multiple of n and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/23))**(-8)*t**(-4)*t*t**(-2\/15) assuming t is positive.\nAnswer: t**(-3601\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8637024 and 2200.\nAnswer: 215925600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*d - d - 11*d)*(19232*d - 19232*d - d**4 - 47*d**2).\nAnswer: 27*d**5 + 1269*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3 + 22*k**2 - 21*k**2 + k - 3. Let g be 1 + -3 + -2 + 2. Determine q(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 12. Suppose -5*g = -113 - i. What is the greatest common divisor of g and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 32. Let v(m) = -17*m - 14. Let u be v(-4). Let i = u - 52. Calculate the smallest common multiple of i and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyybui. What is prob of picking 2 u and 1 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - 1.9. Which is the closest to -0.1? (a) -1\/3 (b) w (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*a = -960. Does 29 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - -5.06. Let p = -9 + 8.6. Which is the nearest to 1? (a) z (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmhhfffffhfhhhfhh. What is prob of picking 4 f?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 2*r**2 - 2*r + 1. Let b be u(1). Let o(j) be the first derivative of 2*j + 1 - 6 - 4*j - j**b. What is o(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 0 + 2*o + 1\/6*o**3 + 0*o**2. Give u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 1. Let h(q) = 3*q**3 - 2*q**2 - 2. What is 5*h(f) + 10*m(f)?\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01366 - 0.0125852. What is d rounded to five dps?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51788 = 10*b - 56*b + 338874. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691349 is divided by 232.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(684) - (sqrt(209)*-1)\/sqrt(11))**2.\nAnswer: 5491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**3 - 12*j**3 + 42*j**3 - 26*j**3.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-4 + (-7 - 10) + 10).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Suppose f*m - 4*m = -4. Let x be (-4 - -3) + m + 6. Round x to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9c0e7 - -5?\nAnswer: 9c0ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 242964345 + 11.\nAnswer: 242964356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - 20\/24*-6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-912)\/112 + -12)*-7. What is the greatest common divisor of v and 4841?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583*f - 312*f + 1269 = 318*f for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27 - ((-232)\/(-38) + 8\/(-76)). Solve -2*h - 46 = o*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12 = -4*f, -h = -6*h - f - 23. Let w = 8 - 6. Let b(o) = -3 + 5*o**3 - 4*o**3 + o**2 + 4*o**w. Calculate b(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/9 + (-11)\/(-3). Suppose -5*d - m + 81 = 0, m - 28 = -z*d + 21. What is the greatest common divisor of d and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 26*n + 68. Suppose 14*z - 8*z = 72. List the prime factors of d(z).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 5*t - 11. Let f be o(-4). Let p be (0 + 6 - -3)*f\/12. Let v be 2 + (-13)\/5 + 1. Put v, -7, p in ascending order.\nAnswer: -7, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 13*v - 7867 = 10*v, 0 = -3*i - v + 4721. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*f**2*u**3*v**2 - 2843*f**2*u**3 + 5*f*u**3 + 643*f*u**2*v**2 + 2 wrt f?\nAnswer: -32*u**3*v**2 - 5686*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwccocwwwcw. Give prob of sequence wc.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 63067*s + 630666. Calculate l(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {i: 1, a: 1, v: 3, n: 1, l: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*w = 7*q - 36, 0 = 4*q + w - 20. Let o be (-16)\/(-10) - q\/(-15). Suppose o*l - 10 = 4. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -2\/59 (c) 2\/25 (d) -21 (e) 3 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937176741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*r + 6 = 180*r. Let a = 3 - 5. Let z = a - 1. What is the second biggest value in r, -1\/3, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -171*d - 2. Let t be x(-1). Let m(r) = 2*r + 10. Let u be m(22). Let s = u + t. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(sqrt(425) + -3*sqrt(425)) + 2*(sqrt(17) - ((sqrt(833))**2 + -1)).\nAnswer: -1669 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9944916599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*n**3*r**2 - 4*d*r**2 + 3*n**3*r**2 + 240 wrt d?\nAnswer: 2*n**3*r**2 - 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*y**3 - 18*y**3 + 2914*y + 16 - 2914*y wrt y?\nAnswer: 78*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75.99914 - -76. What is r rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**9*t**(3\/7)*t*(t*t*t\/t**1*t)**(-9))**(-8) assuming t is positive.\nAnswer: t**(1880\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 1462.\nAnswer: 14620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14329088.74 rounded to the nearest ten thousand?\nAnswer: 14330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2818 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 64.7045 and -2256515?\nAnswer: 2256579.7045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 26*u**2 + 17*u + 12. Let y be s(-10). What is the greatest common divisor of y and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**3 + 8*u**2 + 28*u + 16 = 0 for u.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146 and 1387.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 427. What is n(41)?\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 18 = -0*o. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49*i**2 + 304*i - 18803?\nAnswer: 98*i + 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**6\/30 - v**5\/4 + 55*v**4\/24 - v**3\/2 - 163*v**2. Find the second derivative of y(m) wrt m.\nAnswer: -24*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-32))\/((-22)\/(-16)). Let a be (-4)\/10*(-9 + -1). Let n be (-5)\/(-4)*(0 - a). Put -3, d, n in decreasing order.\nAnswer: d, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2 + 0)) + (-1 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and 0.743441796.\nAnswer: 0.143441796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.59, 5, 2, -1, -1\/5 in ascending order.\nAnswer: -1, -0.59, -1\/5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1099*a**2 - 586*a**2 - 671*a**2 + (6*a - 3*a - 25*a)*(0*a + a - 2*a)*(-5 + 2 - 6) to z + n*a**2 + t*a and give n.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-28)*-164 - (2 + -1). Solve 37*z - v = 29*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -31. Put -2, 0, n, 1 in descending order.\nAnswer: n, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34104842 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/6 of a day?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or 66295?\nAnswer: 66295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 bigger than 8751\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3 - 23*c**2 + 40*c + 7. List the prime factors of u(-14).\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 66*m**2 - 1. Calculate the remainder when p(-1) is divided by -1 + (46\/1)\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 3)*(0*w**2 - 2*w**2 + 3*w**2)*(-22*w**2 - 3*w + 6*w**2 + 5*w) to y*w**4 + o*w**2 + r*w + b + t*w**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27 and -1.79682.\nAnswer: -28.79682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1328*f - 1268. Let t be h(4). What is the greatest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 4*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*k - 623 = -222*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 - (13\/26*120)\/(-3)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 1. Let i be m(0). Suppose -5 + i = -2*w. What is the third derivative of 3*h**4 - 5*h**4 + 4*h**w - 3*h**2 wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 19*k - 3 = 22*k, -j + 42 = 4*k + 32 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3955423152 and -0.0914?\nAnswer: 3955423152.0914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 11*t + 71. Let n be o(8). Calculate the greatest common factor of n and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 smaller than 143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 335463869 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)*m)\/m*m*m**1\/m*(m**0*m)**(-43))\/((m**0)**(-1\/18)*(m*m**(-6\/5))\/m*m*m\/(m**6\/m)) assuming m is positive.\nAnswer: m**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**3 - j**3 + 3*j**3)*(-26357*j - 817011 + 817011) to the form b*j**3 + w*j**2 + u*j**4 + p*j + h and give u.\nAnswer: 26357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 73. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3 + 0 + sqrt(63) + 2 + -3)*6)**2.\nAnswer: -1728*sqrt(7) + 4572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441868 is divided by 220929?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7*l*l\/(l\/l**(-5))*l*(l**(1\/2)*l)**(2\/91)*(((l*l\/(l*l\/((l**1\/l*l)\/l)))\/l*l)\/l)**(-16)\/(l**(3\/7)\/l**(-3\/5)) assuming l is positive.\nAnswer: l**(8647\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009560\/3290 + 6\/(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, 13, -8 in decreasing order.\nAnswer: 13, 8, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623 equal to 1630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91171 (base 11) in base 5?\nAnswer: 13231144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6093, -12216, -18339?\nAnswer: -24462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*l - 21, x - l - 8 = -3*l. Suppose 2*v - 174 = -4. Suppose x*m - v = m. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -17*o - 51. Solve 0*n - 4*n + o*h - 4 = 0, -4*n = 2*h - 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -107, -3674, 5 in descending order.\nAnswer: 5, -1, -107, -3674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26500 by -2.\nAnswer: 13250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k*k)**(3\/25)*k\/(k*k\/k**8*k)*k**1*k assuming k is positive.\nAnswer: k**(203\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2 + 8452455*m - 8452460 = 0.\nAnswer: -1690492, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.1 + -1. Let g = 0.1 - i. Let x = 1 + 3. Which is the nearest to 1\/3? (a) x (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 3*n + 3*n)*(0 + 2*n + 0) + (0*n - 3*n + 5*n)*(2*n + 0*n - 3*n) + (-n + 3*n - 4*n)*(0 + 0 - n) + 238*n - 17*n**2 - 238*n.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 + 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30 + -2 + -1 + -2. Let y be (-3)\/(-4) + (-3)\/(-12). Let l(a) = a**2 + 2*a - 1. Let s be l(y). Solve -3*h + s*j = -8*h - u, 13 = 4*h - 5*j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6)*b**7*b**(-2\/3)*b**(-2\/11))\/((b\/((((b*b**(-4\/5))\/b)\/b)\/b)*b**(-2\/19))\/(b**1\/b*b)**3) assuming b is positive.\nAnswer: b**(39052\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*sqrt(7)*2 + -2))**2 - (-5 + (5 + sqrt(14)\/sqrt(2))*-5).\nAnswer: 133*sqrt(7) + 1838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (450\/5040*8\/10)\/(-2)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2368 and 143042?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 180\/53 in 0.4, -0.5, 0.1, 0, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244059147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) - (-14)\/(-12). Let m be -59 + 43 + 22 + -11. Let l = -0.2 + 0.1. What is the smallest value in l, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011100 - -10?\nAnswer: 1101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t - 3*o - 25, 2*t + 3*o + 44 = 0. Let z = -11 - t. Find the second derivative of z*n + 4*n - 10*n + 2*n**2 + 0*n wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 483 and 5244?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 20*i - 24. What is the units digit of v(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 29*o**2 + 2. Let j be r(29). Let i(k) = -110 + 6*k**j + 4*k**2 + 110 + 12*k**2. Let y(c) = -4*c**2. What is i(y(q))?\nAnswer: 352*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38206999*j**4*m + 2*j**3*m - 224427*j*m + 190*j wrt j?\nAnswer: -458483988*j**2*m + 12*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 64 - 25 - 17*x + 16*x as b + a*x and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = -5*b. Let x be (-4)\/20 - (b + -2). Factor -q - 2\/5*q**2 + 1\/5*q**5 - 2\/5 + 4\/5*q**4 + x*q**3.\nAnswer: (q - 1)*(q + 1)**3*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -374 + 373.99999799. What is r rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*y = -16494 - 5361 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (12 + -1) - 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - a = -4, 0*m - m = 3*a + 2. Suppose -5*k - 2 + m = 0. Let s(b) = -2*b + 1. Determine s(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 763, 1325, 877, -1085, -5065, -11567, -21095, -34153?\nAnswer: -51245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*b)*(-b - 4 + 4) + b**2 + 0*b + 0*b + (-4*b - 1 + 8*b - 8*b)*(5 - b - 5).\nAnswer: 9*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6227618 is divided by 913?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -18*j**2 + 5 + 14*j**2 - 7*j**2 + j**3 - j. Give u(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -684307 - 5?\nAnswer: -68430c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**3*z**3 - 200*p**3*z**2 - 101*p*z**4 + 4*p*z**3 + 2*p*z wrt z.\nAnswer: 12*p**3 - 2424*p*z + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 5*b**2 + 3*b - 12. Let f be o(5). What is the closest to 1 in f, 0.4, 2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -102*w - 418. What is n(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + c. Let m be y(0). Let a be (-1 + m)*(1 - 1). Solve -9 = -h + 5*i, 2*h - 2*i - 2 = -a*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 2:30 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 147*p**3\/2 - 63*p**2\/2 - 36*p - 6 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9572 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*s - 2*s**2 - 14*s + 8*s**3 - 624 + 623 as k + o*s + p*s**3 + c*s**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*3*-6)\/(-4*-4*sqrt(1210) + sqrt(1210)))**2.\nAnswer: 14580\/34969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -133*d. Let q(g) = 7*g**2. Calculate l(q(r)).\nAnswer: -931*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840\/(-480) - 1\/8.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4898145881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1265410 divided by 5\nAnswer: 253082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/10))**8\/((r*r**(-14\/11))\/r**(12\/11)))**7 assuming r is positive.\nAnswer: r**(1449\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 368\/(-36) - 4\/(-18). Let h = -6 - a. Suppose o - 220 = -h*o. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9 + 11606\/28)*2 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/11543 and 59\/714.\nAnswer: 69258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2070)\/(-35) + (-1)\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(sqrt(240)\/sqrt(5) + -1)*4.\nAnswer: -128*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) - (-66)\/15. Solve -18 = -5*y - g - g, 0 = -v*y - 3*g + 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/5)*b*b**(-1\/6))**(-11) assuming b is positive.\nAnswer: b**(-11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39729437 a multiple of 2013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 11718*b + 93624. Determine g(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-14)\/(-12)) + (-42)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i - 18. Let v be b(-3). Let u be ((-12)\/(-22) + (-986)\/1122)*(3 - 18). Let n = -1 - -3. Put v, n, -3, u in decreasing order.\nAnswer: u, v, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -60*w + 2109313. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - b = 19, b - 1 = -4*h + 12. Suppose y + 13 = 4*g, y + 8 - 10 = -g. Suppose 29 = -g*p + 140. Calculate the remainder when p is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 11:39 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3605812*q**4 - 5858*q**2 + 2*q + 76.\nAnswer: 86539488*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 861, 1728, 2597, 3468?\nAnswer: 4341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869*j + 215*j - 2616 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1232656 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t**2\/13 + 28*t\/13 - 10\/13 = 0 for t.\nAnswer: 5\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + (sqrt(147) + -1 + (-2*sqrt(33))\/sqrt(11) + sqrt(6)\/sqrt(2)*4*3)*1))**2.\nAnswer: -2720*sqrt(3) + 14272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15365, 114472, 383477, 907328, 1770973, 3059360, 4857437?\nAnswer: 7250152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -965 + 1482. What is the highest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1583 + 790 + 793 - 2*l**2. Let z(g) be the second derivative of g**4\/6 + g. What is p(z(n))?\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 7*w**2 - 9*w + 6. Let p be h(-5). Which is the second biggest value? (a) p (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 8:54 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t - 2 + 2*t + 0*t + 3*t. Suppose 0*u = -2*u + 10. Suppose 0*v + u = -v. Let b(o) = -1. What is v*b(r) + 2*q(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 7, 5, -1 in descending order.\nAnswer: 7, 5, -1, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-three quarters of a kilogram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 203471*r - 9970083. Give d(49).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 9*u + 4. Let m be p(6). Is m\/77 - (-27702)\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + 11 - (48 + 36 - 111)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2258046*j**4 + 58*j**2 - 179703617*j wrt j.\nAnswer: -27096552*j**2 + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -1 (c) -0.1 (d) -3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 188.8 * -0.07\nAnswer: -13.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**4\/36 - 250*m**3\/9 - 31250*m**2\/3 + 853*m. Suppose a(v) = 0. What is v?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -5 - -3)\/1. Let b be v + 1 - (-127 + 7). Let s be 670\/60 + (-1)\/6. Calculate the highest common divisor of b and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8255 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c**3*c)))\/c)**(-22) assuming c is positive.\nAnswer: c**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5956823371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 148 - 74. Let n = -84.6 + c. Round n to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 55665868 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 813 + -703. Suppose 0 = -6*v + 902 - j. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**6\/120 + z**5\/10 - 7*z**4\/24 + 4*z**2. Let f be o(5). Let l be 0 - 1 - f\/8. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6264 by 2.\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + (2*sqrt(5))**2 + 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvxsusussx. What is prob of picking 2 u?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 13, q: 6}. What is prob of sequence qlq?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(17) - (-2 + sqrt(17)*3)) - (-3 + 1*(sqrt(17) + 4))) + -4)*-6.\nAnswer: -42 + 78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171163 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 562 and 6?\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/45 + (1 - (-14)\/(-10)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -29*n**3 + 10*n**2 - 5*n + 5. Let s(b) = 43*b**3 - 15*b**2 + 7*b - 7. Let w(p) = 5*s(p) + 7*u(p). What is the third derivative of w(r) wrt r?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 23 - 29. Suppose -n + 4*m + 5 = -0*n, -n - 4*m + 5 = 0. Solve k*h = h - n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 142*z + 137*z = 170, 0 = -3*p + 5*z + 50 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4*u + 136, 0*u - 3 = -u. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 25 = -0*x. Let s = 29 - x. Let g be (s + (-35)\/10)*0. Let b(a) = a**2 - a - 6. What is b(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 10110120?\nAnswer: 10110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241496 + 241488 - 482984 - 1321*h**2.\nAnswer: -1321*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101*j**2*l**4 - 2*j**2*l - 52*j*l wrt l?\nAnswer: -1212*j**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 192\/5 + -38. Let p = -0.08 + -12.92. Let f = -13 - p. Sort 5, f, o in increasing order.\nAnswer: f, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 5:19 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from ukkupppkupkk?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 2*t + 4*t)*(-27 + 3*t + 27)*(-3*t**2 - 3*t**2 + t**2)*(-2 + 3 - 2).\nAnswer: 75*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 220, 15, 1 in ascending order.\nAnswer: 1, 15, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cpchccchcppcdddpchd.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 2. Let j be b(-2). Suppose 0 = 4*z + l + 11, 2*l + j*l + 6 = -4*z. Is (-1 - z*4) + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 5*o**2 + 1. Let k be t(5). Let v be (8\/6)\/(k\/3). Let w be (-4)\/14 + (-48)\/(-70). Put v, -2, w in decreasing order.\nAnswer: v, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-44))\/i)\/(i\/i**10))**39 assuming i is positive.\nAnswer: i**(-1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4779.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h - 3*h + 0*h - 13*h - 4735 + 8*h - 134*h**2 wrt h.\nAnswer: -268*h - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 8*x + 15 = 0. Suppose 7 = -4*p + x. Suppose -4*d = -8, -p*z = z - 4*d - 403. What are the prime factors of z?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:41 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -101000010011011110?\nAnswer: 101000010011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*f**2 + f + 4*f**3 - 3*f**3 - 15*f**2.\nAnswer: f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) 1\/7 (b) 5 (c) -4\/5 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 299*r - 3. Let a(p) = -597*p + 4. Let f(d) = -4*a(d) - 7*x(d). Let h be f(-21). What is h rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 202 + 25 - 23 = 0 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n - 38*n = z - 34, -137 = -3*z - 4*n. Solve q = z*f - 35*f, f = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5109697 is divided by 327?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1159 and -2\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1470557 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - -91. What are the prime factors of q?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.5 + -3.1. Let u = v - -77.6. Let a = u + -64.99999826. Round a to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + 3 + 2 + -3*-1*sqrt(102)\/sqrt(6).\nAnswer: 5 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.024 * 312111.9\nAnswer: 7490.6856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 1. Let v be x(3). Let k(d) = d**3 - 5*d**2 + 4*d + 2. Let g be k(v). What is the smallest common multiple of (-13)\/(-5) - g\/(-5) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*o + 7. Let f = o - 8. Solve -f*a + 2 = 0, -3*j = -0*a + 3*a + 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/12 - y**3\/3 + 131*y**2\/2 + 12160*y. Determine c(0).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/3*((-2325)\/9300 - (-167)\/(-36)).\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 (base 8) in base 5?\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26133.8 - 26134. Which is smaller: k or -52.2?\nAnswer: -52.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h. Let s(g) = 21*g - 5. Let b(c) = -21*c + 4. Let l(k) = -4*b(k) - 3*s(k). Let o(z) = -42*z + 1. Let t(d) = -5*l(d) - 3*o(d). Determine y(t(a)).\nAnswer: -63*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 3:33 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5227a (base 16) to base 2\nAnswer: -1010010001001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 - 9*s**2 + 26*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*h**2 - 37*d**3 + 552688*d**2*h + 39*d*h**2 + 244614*h**2 wrt h?\nAnswer: -4*d**3 + 78*d + 489228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 229243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25637?\nAnswer: 31, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27123461531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 + (-8)\/12. Suppose -y - 14 = -5*v - 1, 5*y = -15. Suppose 2 + v = -2*d, 5*d = s - 13. Solve 3*k = -4*x + 2, o = -4*k - s - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - w. Let g(q) = -60*q**2 + 10*q - 2. Let m(j) = g(j) + 10*o(j). Let a(r) = 0*r - 8*r + 2*r + 7*r. Give m(a(x)).\nAnswer: -50*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -8\/5093499?\nAnswer: -8\/5093499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227 or -1329060\/7?\nAnswer: -1329060\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5194012 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*t = 6 - 0, 0 = -4*t. Let m be 2 + 475\/(-110) - 2\/11. Let x = m - l. Which is the third smallest value? (a) x (b) -1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2\/7, -11\/3, 3, -5, -3\/17 in ascending order.\nAnswer: -7, -5, -11\/3, -3\/17, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2524 is divided by 817?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**3\/2 - 790825*x**2\/4 + 692165*x + 12851475 = 0.\nAnswer: -79086, -13\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -111. Let c be (-258)\/(-90) + (-8)\/k. Solve -c*s = -s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) -16.7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 171*j**2. Let z(i) = 15078*i**2. Calculate m(z(p)).\nAnswer: 38876180364*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -78*s - 1. Let b = -6 + 5. Is r(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 2*k**2 + 5. Let v be z(2). Suppose v*o - 7*o = -64. Is 32 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -758609\/622986 - 2\/7987. Calculate the common denominator of 125\/48 and b.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/24041 and -89\/174?\nAnswer: 144246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -18560 divided by 928\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.565 - -3.901. Is 9 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82.9 + -83. Let x = 2.3 + 0.7. Which is the third smallest value? (a) -0.4 (b) 1 (c) l (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/43)*i)\/i)**26 assuming i is positive.\nAnswer: i**(52\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8*p)**(-50) assuming p is positive.\nAnswer: p**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.388 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 19*u - 51. Let c(i) = i**2 + 9*i - 25. Let m(s) = 5*c(s) - 2*j(s). Let o be m(-9). What are the prime factors of ((-45)\/o)\/((-6)\/(-64)*1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - i + 15 = 0, -40*i - 70 = 2*s - 37*i. Which is the second biggest value? (a) -0.1 (b) 0 (c) s (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.173984 years in centuries?\nAnswer: 0.04173984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1259, -79\/4, 25, -0.4 in increasing order.\nAnswer: -79\/4, -0.4, 25, 1259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -36 - (-117 - -148)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5368?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*4\/6*-33.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from dppd?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -18.9. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n**2 - 696*n + 17126. Calculate s(-97).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 5*g - 7. Let y be 0 + (-5)\/(-2)*2. Calculate the remainder when 4*(-1*9 + (-12354)\/(-696)) is divided by c(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j - 3*j)*(-2434 + 606*j + 2434).\nAnswer: -1212*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 358247 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00073 rounded to five decimal places?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1478 - -1476. What is the third smallest value in 2.4, g, 1\/3?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*45\/120?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 25. Let d = 14 + p. What is the highest common factor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3793 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: b\"What is the lth term of 334, 576, 818, 1060?\n\"Answer: 242*l + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 30. Suppose -5*d + y = 0, 2*d + 2*d - 10 = n. Solve 0*g + n = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 14 = -2*w, 4*w + 8 = 4*s. Let h(v) = 4 - 5*v**2 - 2*v**w - 3*v + v**3 - 7 + 0*v. Let z = -18 - -13. Determine h(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250068.\nAnswer: 2, 3, 7, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 539?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -6. Let d be (-1)\/(s*2\/14). What are the prime factors of d + (20\/4 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*(-21)\/((-2100)\/(-160))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -18, 2011 in increasing order.\nAnswer: -18, 1, 2011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-13)*w)*w*(w*w\/(w**(-3\/4)\/w))\/w assuming w is positive.\nAnswer: w**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -127 (b) 5 (c) 6 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 161*j - 75 = -164*j, -j + 41 = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.053 times -0.01\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 974 - 968. Calculate the greatest common factor of h and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56536202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7070 is divided by 160.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419.91 - 39.56687?\nAnswer: 1380.34313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 300\/1400 + -3*2\/(-21)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**5 - 1188*o**4 - 8440*o**3 - 21808*o**2 - 24288*o - 9728 = 0.\nAnswer: -2, -1, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - -1*(-9 - (-32 - 9)). Solve 10 = -6*p - a for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**3 + 2*l**2 + 5*l. Let h(s) = -17*s**3 + 8*s**2 + 19*s + 1. Suppose 0 = -514*d - 2800 + 7426. What is d*i(j) - 2*h(j)?\nAnswer: -2*j**3 + 2*j**2 + 7*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-21) + 184\/28?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-1))\/((-5)\/20). Suppose 4*v - 1 = p - 0*p, 1 = -p. Is (-89)\/(-1 + v\/q) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 2:28 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8.2 - 107667803867\nAnswer: -107667803858.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*r**2 + 2664389*r + 21263619 wrt r?\nAnswer: -8*r + 2664389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.078802957 to three decimal places.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (405\/12)\/(-9)*6520\/(-978)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218124651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - s**2 - s - 1. Let n(u) = 4*u**5 - 3*u**3 + 3*u**2 - 8*u + 3. Let z(g) = 6*f(g) + 2*n(g). Find the second derivative of z(m) wrt m.\nAnswer: 160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*k + 21 = -3*k, -2*k = q. Suppose -10 = -q*r - 28. What is the units digit of r*((-12)\/9 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + (-337)\/(-3*(-3)\/(-54)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggq when three letters picked without replacement from gppggggqgg.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222220 + 12?\nAnswer: 1000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, q: 1, h: 5, d: 5, c: 2}. What is prob of picking 1 s and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 3*u**3 + u**3 + (-u + 4*u - 5*u)*(2*u + 2*u - 7*u)*(1 + 2*u - 1))*(-84*u - 8*u + 21*u).\nAnswer: -994*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10312483*t = -10312488*t + 2*h + 20, t + 4*h = 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3430 + 186. What is the greatest common factor of g and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2. Let g(d) = 3*d**2 + 4*d + 6. Let h(p) = -2*a(p) - g(p). Suppose 4*x = 2*c + 8 + 6, -2*c + 5*x = 15. What is h(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s. Let z(f) = -13101383*f**2. Determine g(z(c)).\nAnswer: 13101383*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56350, -110541, -164732, -218923?\nAnswer: -273114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 80003737\nAnswer: -3\/80003737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 265702, 1, -2\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.031882 and -4.\nAnswer: 0.127528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17435759\/150 - 116239. Calculate the common denominator of (14\/48)\/(6\/(-60)) and a.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.80198 - 1.8. What is s rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1000 * -0.1.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 906*o**2 - 6*o + 13. List the prime factors of m(3).\nAnswer: 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - d = -280, 0*x = x + 2*d + 61. Let k be -1 + x\/4*(-2)\/36. Let l = 4 - 5. Is l < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34052438 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -1. Let j = o - 8. Let b be (32 - 7)*j\/(-1). Solve s + 4*s = b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -237*a*b**4 + 25*a*b**3 + 88928*a*b - 5*a + 3*b**3 wrt b?\nAnswer: -2844*a*b**2 + 150*a*b + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.34 + -0.04. Suppose 279*r - 272*r = 0. What is the fourth biggest value in 0.3, r, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -935 (base 11) in base 4?\nAnswer: -101213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 833\/(-102) - 1\/(-6). Suppose -5*f + 3*f + 6 = 0, 2*q + 3*f + 15 = 0. Let l = u - q. Solve -4*y + 4 = 0, 5*d + 7*y + 22 = l*y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 47\/(-4) - 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/70 and 113\/252?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 = h, 0*f - 4*h = -5*f + 4. Let a be (f - -2)\/(-2 + 0). Is a at least as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 31*c + 25. Let k(f) = 15*f + 15. Let l(j) = 15*j - 237. Let h be l(16). Let r(t) = h*q(t) - 5*k(t). Give r(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178 - -357. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*x + 27, 3*x + 16 - 10 = 4*f. Let i(k) = -2*k**2 - k + 2. Let o be i(1). Let t = 6 - 6.3. Sort f, o, t.\nAnswer: f, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -9, 9, 27?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20011021000022 (base 3) to base 13\nAnswer: -8a76ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1 - 10*x - x**2 + 8*x + 32*x**2. Calculate n(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*q - 10 = 0, -r - 299*q + 2 = -298*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-154) - 13006069986\/77. Round l to the nearest 1000000.\nAnswer: -169000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44536247 to 5 decimal places.\nAnswer: 0.44536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 1. Suppose 21*l - 21 = 18*l. Give w(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + -8 + -10 + 14 - -8) + 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0112163279 to six decimal places.\nAnswer: -0.011216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 0*v + 3*v**2 + 0*v**2 + v**2 + v**2 + (2*v - 1 + 1)*(-v - v - 3*v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2168*h - 633*h - 3709 + 368*h wrt h?\nAnswer: -2433","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, m: 2, h: 1, e: 7}. What is prob of sequence ee?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1794267?\nAnswer: 3, 73, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 145*s**3 + s**2 - 148*s + 425. What is y(3)?\nAnswer: 3905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 17 - 115 = 0. Let i be 1*(d - (-1 - -7)). Solve -o + 5*c + i*c = 30, 10 = 2*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2661 by 86.\nAnswer: -2661\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*2 + (-3*sqrt(19)*2)**2 - sqrt(152)\/(sqrt(32)\/sqrt(64))*-6)*-2.\nAnswer: -1368 - 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -12490 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 9*g - 7. Let v(w) = 5*w + 3. Let x(r) = r - 1. What is g*v(k) + 3*x(k)?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 12:35 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72b58 (base 13) in base 5?\nAnswer: 23100003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/23093 - 42760\/39558309. What is the second smallest value in 0.2, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1602 less than or equal to -1602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -5, -14875463 in increasing order.\nAnswer: -14875463, -5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/142486462 and 83\/10.\nAnswer: 712432310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 0)\/(10\/2 - (-20273)\/(-4074)). Calculate the greatest common factor of z and 252.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5365 (base 12) to base 5.\nAnswer: -243044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043978878 to six decimal places.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 323531\/30 + -10783. Let x = -2383672\/15 + 158910. Calculate the common denominator of s and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(110)\/sqrt(2))*-4 - sqrt(3520)*-2)\/(-4*sqrt(176)*3).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -51*v**3 + v**2 + 5*v - 4. Let p(i) = 128*i**3 - 2*i**2 - 12*i + 10. Determine -12*c(s) - 5*p(s).\nAnswer: -28*s**3 - 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/22 and 143\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137741369 + 0.294.\nAnswer: -137741368.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) - 2\/(-8). Let t(u) = -u**2 + 27. What is the remainder when t(r) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -104.38 and 0.2.\nAnswer: -20.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*y - 28*y + 28*y - 48 + 23 + 24.\nAnswer: 42*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 + 5*d + 7. Let w(n) = -6 + 7*n - 3*n**2 + 7*n - 1 - 18*n. Let p(g) = -4*t(g) - 5*w(g). Determine p(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 3*p - 29, -284*p + 4*i = -282*p - 26 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*v + 28*v + 2629 = -4499 for v.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4\/11 - 1858*a**3\/11 - 3692*a**2\/11 + 14832*a\/11 = 0?\nAnswer: -927, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21079, -21095, -21111, -21127?\n\"Answer: -16*p - 21063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.23 + 0.23. What is the nearest to -0.2 in 4, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 875 divide 544056625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064 minus 1.665549?\nAnswer: -1065.665549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -176*f**3 - 284*f**2 - 263776 wrt f.\nAnswer: -528*f**2 - 568*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6 = -3*z, -3*u + 5*z = -9 - 1. Suppose u = 4*k - 21 + 1. Factor 2\/3*x + 0*x**4 + 0 + 0*x**2 + 2\/3*x**k - 4\/3*x**3.\nAnswer: 2*x*(x - 1)**2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.20593604 - 1.354.\nAnswer: 20.85193604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9056*c**2 - 1864*c**2 + 1615*c**2 to a*c**2 + v + b*c and give a.\nAnswer: 8807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/2)\/(175\/(-2200))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/5 (b) 0.1 (c) -4 (d) 61\/4 (e) -2\/1611\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1638)\/(-54) - ((-4)\/3)\/(-1). Solve -l*j + 19 - 48 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52361 (base 8) to base 11\nAnswer: -15379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 10*f + 2. Let n be k(10). Let c(l) = 13*l**2 + 23*l**n - 64*l**2 + 19*l**2. Let d(b) = b - 2*b + 2*b. Calculate c(d(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, d: 1, h: 1, k: 1, t: 2, r: 2}. Give prob of sequence yt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 1842?\nAnswer: -1849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11687.\nAnswer: 13, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + 3*c - 2. Let s be l(3). Let u = 126 - s. Does 24 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -93 in -6, -2\/25, -2, -4, 2\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w - 5. Let f be k(-5). Suppose -2*q - f = 2*s, -s - 2*s - 25 = -q. Let g = s - -33. Calculate the highest common divisor of 253 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-20))\/((-4)\/(-16))*(-8 - 27). Which is the nearest to -0.04? (a) 5 (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - i + 1. Let f(u) = 4*u**3 - 4*u**2 + 14*u + 4. Determine f(v) - 4*o(v).\nAnswer: 4*v**3 + 18*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-325)\/(-100) - ((-1)\/4)\/(-1). Let b be ((54\/(-3))\/m)\/((-10)\/4935). Suppose b = 7*w - 6566. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 + 2 = 0. Suppose 0 = 4*m + 5*h + 27, 3*m = -0*h + 3*h. Sort x, m, -5 in increasing order.\nAnswer: -5, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 910.63 or -21?\nAnswer: 910.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23246600 (base 8) in base 2?\nAnswer: -10011010100110110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1310398 and 654?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1400 and -74\/1225.\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 1. Let h(j) = 78*j**2 - 4*j + 9. Let c(f) = 171*f**2 - 9*f + 20. Let p(d) = -5*c(d) + 11*h(d). What is -3*p(t) + 5*u(t)?\nAnswer: t**2 - 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 3*j. Calculate y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2268*o**3 + 2787 wrt o.\nAnswer: -6804*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/77)\/((-6)\/28*1222\/(-39))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 2:02 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/6 + (-2)\/(-4). Let u(s) = s**2 + s + 1. Let t be u(a). Suppose t*x - 9 = 0, -5*x - 152 = -5*v - 4*x. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a2 + -5103?\nAnswer: -55a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126460 and 184?\nAnswer: 5817160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 20, -2*p + 747 = 4*x + 767 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144661 is divided by 3189?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**2*w)**(-5\/7))**(-1\/27))**(-22) assuming w is positive.\nAnswer: w**(-110\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 5*k + 298 = 258, 0 = -z + 5*k + 28 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -307 - -5?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - -4.1. Let r be 7\/(-5)*(324\/21 + -16). Which is the biggest value? (a) 3 (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23522 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004730608 rounded to six dps?\nAnswer: -0.000473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -757, -2961, -6637, -11785, -18405, -26497?\nAnswer: -36061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10047?\nAnswer: 3, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 57, 10 in increasing order.\nAnswer: 10, 11, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9103?\nAnswer: 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38524, -38518, -38508, -38494, -38476, -38454?\nAnswer: -38428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/480 + g**5\/80 + g**4\/48 + 83*g**2. Determine b so that z(b) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 30*y**3 + y**2 - y - 1. Let j be r(1). Let z = 2 + j. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-11 - -70) + -1)*2\/2. Calculate the greatest common divisor of 29 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -23\/3 (c) -0.1 (d) 2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m - 78*m + 340 = 16*m. Solve -m*z = -15*z - 40 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*j + 2*j + 6*j)*(0*j**2 + 2*j**2 + 0*j**2) - 2*j**3 + 5*j**3 - 2*j**3 to the form h*j + u + k*j**3 + o*j**2 and give k.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 59\/3. Let r(x) be the first derivative of -1\/2*x**2 - k*x**3 - 3 + x. Determine r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 3:44 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*c + 8*c + 11*c)*(4 - 4 - 1) + 4*c + 1 - 1 - 3 + 3 + 3*c to the form k + w*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + (3 - -2) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4572*w**2. Let g(a) = -a**2. Give g(h(x)).\nAnswer: -20903184*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/4, 3\/2, 0, -2\/77?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-12))\/(4\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7599 + -640.3401. Round t to the nearest ten.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -2)\/(-2) + -2. Suppose -3*l + n - 8 = 3*n, -6 = l + 4*n. Let p = l - z. Solve 0 = -3*k - 9, k = g - p*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38161 to the nearest one hundred.\nAnswer: 38200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*f + 12*f**2 + 9\/4*f**3 - 15\/2.\nAnswer: 3*(f + 1)*(f + 5)*(3*f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631523410 to the power of 1\/2, to the nearest integer?\nAnswer: 25130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2521 + -30251\/12. Suppose -j - 12 = 2*j. Let i be j*(-2 - 3\/(-4)). Which is the second smallest value? (a) i (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200002011 (base 3) to base 12.\nAnswer: 7764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 2*m - 3. Let z be u(4). Suppose z*k - 5*o = -5, -3*k - o + 7 = -k. Let h = -332 + k. Round h to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwh when three letters picked without replacement from wwddsdhdshss.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1, 4, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h*k**5 + 366620*h*k**4 + 25227175*h*k**2 wrt k?\nAnswer: 180*h*k**2 + 8798880*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*r = -103*r + 3*u + 108, -3*r = 5*u - 200. Solve 0 = -4*d - i, -3*d - r*i = -56*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 580 = 5*f - 4*c, -3*f + 348 = 4*c. Suppose -4*b = -24 + f. Let p = b - -58. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a + 3*a - 2*a + (20 + 2 + 4)*(-2*a + a - a).\nAnswer: -45*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 73, 541, 1801, 4249, 8281, 14293, 22681, 33841?\n\"Answer: 66*z**3 + 6*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/2)\/((-2080)\/(-624)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by 2341.\nAnswer: -67\/2341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*p**5 - 1153*p**4\/2 - 1300*p**3 - 9*p**2 + 1944*p + 27\/2 = 0. What is p?\nAnswer: -3, -1\/144, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 3*v = 140. Suppose v*y + 12*y - 260 = 0. Calculate the remainder when 17 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 3:51 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30399 + 43534. Suppose 23*l = 8209 + z. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -544\/5 (b) -3\/2 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f = f - 837. Let s = 81 + f. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2484222 and 2808.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + 80*x**2 + 6*x - 329. Determine l(40).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3438, -3442, -3446, -3450, -3454, -3458?\n\"Answer: -4*k - 3434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p**3 - p**3 - 22*p**3 + (0 + 0 + 2*p)*(-3*p**2 + 5*p**2 + 0*p**2) + 3 - 3 + 5*p**3)*(p - 3*p - p) to w + z*p + q*p**2 + v*p**4 + j*p**3 and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9275 or -9276?\nAnswer: -9275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4024 and 10.\nAnswer: 20120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 3. Let i(s) = 6*s**3 - 3*s**3 + 7 - 3*s**3 - 5*s**3. Determine -6*i(o) + 14*u(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1084.9871446 to one dp.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 32. What is the closest to 2 in -1, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1512 is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/66347688 and -83\/267531.\nAnswer: 66347688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2255*g**2 + 3206*g - 22. Let y(d) = 752*d**2 + 1069*d - 8. Let v(h) = 4*j(h) - 11*y(h). Find the second derivative of v(x) wrt x.\nAnswer: 1496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10176 and 3264?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(((-6)\/4)\/(141\/2068*4)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127 - 127 - 17*a**3 - 3*a + 3*a - 2*a**3 + (-a + a + a**2)*(0*a - 3*a + 4*a) - 1 + 1 + 2*a**3 to the form t*a**2 + y*a + w*a**3 + k and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6661, 13274, 19875, 26458, 33017, 39546, 46039, 52490?\nAnswer: 58893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218515257 by -3833601.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -475, -3359, -11069, -26017, -50615, -87275, -138409, -206429?\nAnswer: -293747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5645144 * 0.4\nAnswer: 2258057.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -3.1. Let a be (-5)\/4*(5 + (-31)\/5). What is the third smallest value in c, 2\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 6*v - 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -735 + 748. Suppose -c*j = -27*j + 84. What is the lowest common multiple of j and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 300, 708, 1438, 2598?\nAnswer: 4296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 6) to base 16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 (base 13) in base 14?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*v + 115 = -3*l, -2*l = 2*v + 150. Does 39 divide (-2)\/(-7) + 4*(-12315)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6)\/((-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/((-1)\/(23 + -17))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1085, 1531, 2155, 2957, 3937, 5095?\n\"Answer: 89*o**2 + 179*o + 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 294. Let p = i - 272. Calculate the greatest common factor of p and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -3*t**4\/4 - 12*t - 37. Let f(n) be the first derivative of u(n). Let x(p) = 0*p + p - 2*p. What is x(f(h))?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 337195 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -12 - (-5 + (1 - -16))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 214. Let i(k) = 1215*k - 12. Determine i(s(d)).\nAnswer: -1215*d**2 - 260022","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -13\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3685 and 3844862.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 5*a**2 - a**2 + 5*a**2 - 4*a. Let i be y(3). Solve -x = 1 - i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Solve m**w + m + m - 2 + 2*m**2 - 3*m**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-2 + -5 - sqrt(80) - (-2 + sqrt(80)*3))**2.\nAnswer: 144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:07 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 306287466 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3 + -3 + sqrt(147) + 1 + -2 + -2)**2 + 4).\nAnswer: -696 + 378*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*i - 36 - 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10*(5 + 0). Let x(j) = j + 1. Let s = -4 + 3. Let b(f) = 2*f**2 - 2*f - 3. Let g(k) = s*b(k) + u*x(k). Differentiate g(i) wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 144.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6\/5)\/((b**(-7)*b*b)\/b) assuming b is positive.\nAnswer: b**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 3 = -3*l. Let z(t) = -21*t - 507 + 507. Is 18 a factor of z(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 804, 3085, 6838, 12063?\nAnswer: 18760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 519\/79 (b) 5 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 641?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -839*x**2 + 9*x + 824 wrt x?\nAnswer: -1678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-204 + 145 + 116)*(-j**2 + 2*j**2 + 0*j**2) + (-2*j + j + 2*j)*(2*j - 1 + 1).\nAnswer: 59*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 494\/10 + 16\/(-40). Suppose n + 2*c = 3*c + 17, 2*n - 5*c - k = 0. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*p**3 + 512*p**3 - 241*p**3.\nAnswer: 25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.04265325 + 74476?\nAnswer: 74347.95734675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 2. Let p be c(-3). What is the common denominator of (134\/15)\/((-12)\/(-15)) and (-237)\/(-48) + (-3 - p)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 + -122. What is the fourth biggest value in -3\/8, d, 4\/7, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 7*b - 5. Suppose 4*l - 8*l = 32. Let r be h(l). Suppose o = r - 1. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21, -156, -529, -1260, -2469, -4276?\n\"Answer: -20*k**3 + k**2 + 2*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 4*b = 30, 3*l + 220*b - 9 = 223*b for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -447a0b (base 14) to base 6.\nAnswer: -121505055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 953042183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 391478 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -223, -315?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w**2 - 5*w. Let h(a) = -5*a**2 - 3*a. Let q(m) = -3*b(m) + 5*h(m). Let d(f) be the first derivative of -5 + 0*f - 2\/3*f**3 + 0*f**2. Give q(d(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 22.09. What is the smallest value in 0.2, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(3\/5)\/p))\/p)\/(p\/(p*p*(p*p\/p**(-1\/7))\/p)*p*p))\/(p**(1\/7)\/p**(-3\/2)) assuming p is positive.\nAnswer: p**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2. Let h(c) = 8321621*c. Determine u(h(t)).\nAnswer: 69249376067641*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11349991\/57 at most 199124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -2)*8\/8. Solve -15 = -u + r*k, 5*k + 40 = -u - 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220402 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 35 = 5*n. Determine x, given that -10*x**2 - 1 + 1 + 15*x**3 + 60*x**4 + 32*x**5 + 3*x**n = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (8 - 6) + -11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 54 + -32 + (-1278)\/159.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -673, -1, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - -31) + 4 + 43 - (11 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1250)*-2.\nAnswer: -50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2268*g - 1337. What is the hundreds digit of c(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (472 - 384) + (-9 - 19)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -1\/2*g**2 - 5*g + 4. Determine z(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*q + 26 = -2*p, -2*p + 26 = 4*q. What is the remainder when p is divided by ((-3)\/(-2))\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 12 = 3*v + g, -g = v - 4. Let n be (-5)\/(-2) + v\/8. Put 1, 6, n in ascending order.\nAnswer: 1, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 606*d - 3*d**2 - 606*d)*(-2 + 4*d + 2) + 3*d**3 + d**3 - 2*d**3 as h*d + m + w*d**3 + g*d**2 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -2, -0.4, -3\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/20 - r**3\/2 + 3*r**2\/2 - r. Let p(m) = -m**3 - m + 1. Let u = 1 + -4. Give u*p(t) + a(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 4*r + 44. Let q(z) = 3*z**2 - 5*z - 43. Let d(y) = 4*n(y) + 3*q(y). What are the prime factors of d(0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 - (19 + -20 + 39).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*g + q, 1 = g - q - 0. Suppose g = -8*p + 7 + 9. Suppose -4*f = 4*o - 12, 2*f - p*o = -o - 3. Solve 15 = 3*v - f*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 5. Let o be (410\/492)\/(-1*(-15)\/(-9)*1). Which is the nearest to k? (a) 0 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84384 is divided by 578.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 363 + -363. Which is the third smallest value? (a) v (b) 0.047 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 12 = -3*r - 3*l, -r + l = 0. Suppose -o - 3 + 9 = 0. Let i be 4 + 0 + -4 + 6. Solve -r*w = 3*j - i, -j + o*j = 5*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -43. Put -1, -0.4, g in descending order.\nAnswer: g, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 + 10*y + 459. Let u(x) = 3*x**2 - 8*x - 458. What is 4*a(s) + 5*u(s)?\nAnswer: 3*s**2 - 454","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, -5, 2, -420, -1, 4, -4.\nAnswer: -420, -188, -5, -4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2. Let s(u) = -10*u + 17*u - 21*u - 8*u. Give s(b(i)).\nAnswer: -44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from eeeieeyeeiiiiiyeee.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 5*f - f)*(0 - 5 + 3)*((3 - 6 + 1)*(-2 - 3 + 6) - 1 + 0 - 1 + 18 - 4 + 7).\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 9*y**2 - 9*y - 5. Let o be l(-8). Calculate the common denominator of (255\/81 - o)*-10 and -38\/153.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(30)\/(sqrt(5)*2))*-3)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 13 = 5*u - 0*u, j = -2. Let c be 1330 + 6\/(-4) + u\/6. Suppose 2*b - c = -b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 5. Let n be t(10). Suppose -3*r = -5*k + 15, -r + 3 = k - n*r. What is the highest common divisor of 2 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from {r: 2, m: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*c + 4*j - 3*j, 0 = 4*c + 5*j - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.4. Let i = -3353\/892 + 2\/223. Let f = i - -53\/12. Which is the nearest to -4? (a) f (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 33560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and 0.067.\nAnswer: 0.00938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 3*r + 83, 3*r - 91063*a - 29 = -91066*a + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4725624 is divided by 60?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8603100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 12 + 0)*(3*o**2 + 2*o**3 - 3*o**2).\nAnswer: 46*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*h**3*l**3*z - h**3*l*z + 1549*h**3 - 2*h**2*z - 653*h*l**3*z - h*l**3 + 2*l**3*z - 3*z wrt h?\nAnswer: -78*l**3*z - 6*l*z + 9294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Let u = 12 - 7. Solve v = u*s - 2*z - 11, -z = s - 4*s + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 + 0.03. Let c = -1579 - -1578.8. Sort j, c, 15 in increasing order.\nAnswer: c, j, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h = -206. Suppose 3*g = -31 + h. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/35 + (-22)\/(-77)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153735 != 1998540\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13034741 or 0.4?\nAnswer: -13034741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -7. Let d be ((-27)\/(-12))\/((-1)\/m). Suppose -3*x - 4*v = -9, d = 3*x + 3*v - 8*v. Solve -2*p + x = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*v**2 - 6*v - 2*v**3 + 0*v**2 + v**4 - 2*v**2 - 3*v**2 to m + g*v**2 + o*v**3 + r*v + y*v**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 2*x**2 + x**2)*(-9 + 9 + 5*x)*(3 - 2 - 4).\nAnswer: -45*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -10*l**2 + 9*l + 80. What is q(-6)?\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 2*y**3 + 2*y**2 + (2 + 0 - 4)*(-y**3 - 3*y**3 + 2*y**3) + y**3 + 2*y**3 - 2*y**3 - 67*y**2 + 119*y**2 - 55*y**2 - 73*y**3.\nAnswer: -66*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 69*x - 77*x + 135*x)*(0 - 1 - 2) to the form r + w*x and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*a**2 - 76*a**2 + 49*a - 2*a**3)*(-a - 3 + 3) + 19*a**4 - 444*a**3 + 444*a**3.\nAnswer: 21*a**4 - 49*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9267*l + 10686. What are the prime factors of y(-4)?\nAnswer: 2, 3, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5*y**(3\/2)*(y*y\/(y*y\/(y*y**(-2\/5)\/y)*y))**28 assuming y is positive.\nAnswer: y**(-327\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-3 - (-1 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-10) + 1)\/((-38)\/(-2945))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -4, 1\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 56 = -50, 6 = 3*t - 5*o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l**2 + 3 - 13*l**2 + 14*l**2 as b*l**2 + f*l + y and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8. What is the units digit of (-1)\/(x + 1) + 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 3 + -1 - (1 - (10 + -13))) + -49.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-1))\/((-6)\/(-3)). Let a = -5.746 + -0.354. Let c = a - -7. Put c, g, -2\/9 in increasing order.\nAnswer: -2\/9, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 k when three letters picked without replacement from {q: 4, l: 4, k: 4, p: 3}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1. Let d(i) be the first derivative of 2*i**3\/3 + 9*i**2 - 4*i - 35. Let t be d(-9). Let h(m) = -4*m - 4. Give t*r(l) - h(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 24 - 7 = -5*l, t = 4*l - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.362 rounded to zero decimal places?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122002221111022 (base 3) to base 8.\nAnswer: 42536537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*h - 300 = 0, -2*o = o - 5*h - 140. What is the highest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dccd when four letters picked without replacement from {c: 16, d: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -4, 3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -10*d**3 - 7*d**2 + 26*d + 96. Let n be a(-3). Which is smaller: n or 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488\/6 - 21376\/4008?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 16. Let v be u(11). Let p = -0.8 + 0. Let s = 0.3 + p. Which is the third biggest value? (a) v (b) 1\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 47 - 71. Suppose 0 = -k - 5*x + 2*x + 743, -4*x = a*k - 2948. Suppose -3*i - i = -5*u - 742, -4*i + u = -k. List the prime factors of i.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*d + 5 = 0, -5*g + 352*d - 350*d + 14 = 0. Solve -b = -i, 3*i - b + 0*b = -g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3636944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x + 10. Calculate j(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*k + 1427 + 1673 = 0 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - p + 3*p. Let h = 20 + -24. What is q(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2110112 + 1?\nAnswer: -2110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-22))\/9 + 0.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 6*z**2 + 4*z - 6. Let h be o(4). Let f = -21 + h. Let s(m) = m**2 + f*m + 4 - 11*m - 15*m. What is s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*((r**2*r)\/r)\/r)**(-5\/8)\/(r\/((r**1*r)\/r*r))**(-5\/7) assuming r is positive.\nAnswer: r**(-145\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 13 + 2)*(-2*a**3 + 7*a**3 + 0*a**3).\nAnswer: 275*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4*i + 36 - 43 = 0, 2*i - 2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Suppose -s*l + 176 = 2*l. Calculate the highest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 7 = 3*q, -37 = 2*q - 11*s + 6*s for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 3*p + 22. Let u be k(-6). Suppose 0 = 5*y - 45 - 35. What is the highest common divisor of u and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**22)\/r)\/r*r**(-2\/3)*(r*r\/(r\/(r*r**(-15))))\/r*r**(-23) assuming r is positive.\nAnswer: r**(-182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75946 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1672446, -3344892, -5017338, -6689784, -8362230, -10034676?\n\"Answer: -1672446*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**3 + 21*w**2 - 8*w - 23. Let s(o) = -o**3 + o**2 + 1. Let d(r) = i(r) - 5*s(r). Is d(15) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (292\/14)\/(4\/(-28)). Is h not equal to -145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 487*q**3\/6 - 133*q**2 + 104*q + 2. Differentiate x(o) wrt o.\nAnswer: 487","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -916, -941, -90, 1631, 4216, 7659, 11954?\nAnswer: 17095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 319831591?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:34 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 40067\nAnswer: 1\/40067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 8*z + 74. Calculate p(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/8)\/((-2)\/4*-1). Sort n, -5, 0, 9.\nAnswer: -5, 0, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 28.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2)\/(-8 + (-252)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/20702 and 73\/16.\nAnswer: 165616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -2*s**5\/15 - s**4\/12 + s**3\/6 - s**2. Suppose 0 = 3*x - 2*h - 5, -6*h + 3*h - 4 = -x. Determine f(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/12)\/((-260)\/(-30))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Let q be ((-1)\/((-2)\/(-86)))\/(2\/(-4)). Let w = q - l. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2316, 18499, 62434, 147999, 289072, 499531, 793254?\n\"Answer: 2313*i**3 - 2*i**2 - 2*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6414 (base 8) to base 11\nAnswer: 2567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.777, 0.5, 3\/5, 2\/13 in descending order.\nAnswer: 1, 3\/5, 0.5, 2\/13, -0.777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p + 112. Calculate the least common multiple of i(-16) and 90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26985*a**2*c**3 + 2*a**2*c**2 + 8*a**2*c - 3*a**2 + 75520 wrt c?\nAnswer: -161910*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -113. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 9:39 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 14313760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7936 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11395 + -11394. Sort s, -0.62, -0.4, -2\/13, 2\/5 in increasing order.\nAnswer: -0.62, -0.4, -2\/13, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*v - 15605, 12271 = 5*v - 3*g - 3328. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111010011011 - 1000000?\nAnswer: 1101111001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 108, 204, 370, 630, 1008, 1528, 2214?\nAnswer: 3090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (56\/84)\/(1\/87). Let d = f - 56. Let s be (-1)\/(-2 + 10\/6). Solve -s*y + 6 = -4*p, -3*p + 4*p + y = d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (134\/(-70))\/((-110)\/77*1) and (-118)\/(-4)*(-50)\/(-875).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -76, -16.\nAnswer: -76, -16, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*b - 21762 - 21013 = 0 for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28.62 + -30.5. What is c rounded to 1 dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**4*k*p + a**4*p**2 + 7*a**3*k*p + a**2*k*p - 74*k*p**2 - 3*p**2 wrt a?\nAnswer: -48*a*k*p + 24*a*p**2 + 42*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(616)\/sqrt(44))\/(sqrt(64)\/sqrt(128)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 98 + 27. Suppose -g + u = 4*g. Solve l + g - 2 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxrbbbbrllrxl. Give prob of sequence brx.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*-1)\/(3\/6). Let h(p) = -p**2 - 5*p + 3. Let y be h(t). Let z = 14 - y. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -26. Let r = 2 + k. Let q = 42 - 42. Which is the closest to q? (a) r (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*27\/18 + 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12395 is divided by 148.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 94 = -6. Let u be (-6)\/k - (-33)\/(-44). Let a = -28\/3 + 9. What is the biggest value in -0.3, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36160581 and 1887?\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 11\/2, -6, -2\/55, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10686, -20302, -29918, -39534?\nAnswer: -49150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 12:48 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10840*v**2 - 160*v - 13. Is r(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 9*w**2 + w + 11. Let z be y(-9). Suppose i + 4 = z*i. Suppose i*o = -o + 2*n + 1053, n = -3*o + 634. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*b - 3, 13 = b - 5*r - 13. Do 9\/4 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.6 - 0.1?\nAnswer: -241.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 115354005*g + 178370338.\nAnswer: 115354005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -2, 0.98, 12, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (406 - 411) + 5\/1. Which is the closest to 2\/3? (a) -2\/17 (b) -178 (c) v (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 - 18 = 34*c. Suppose -c*v - 2710 + 11019 = b, v = 2*b - 16662. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**5 - 2*j**5 - j**5 + (12*j**3 - 37*j**3 - 13*j**3)*(-3*j**2 + 2*j**2 - j**2) + (3*j**3 - 4*j**3 - j**3)*(1 - 1 + 2*j**2) + 0*j**5 - 2*j**5 + j**5.\nAnswer: 72*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 563 = -2*o + 1117, 0 = -4*h - 5*o + 3356. Suppose 2*l - h = 634. Let w = 5885\/8 - l. What is the common denominator of w and 17\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -164*k - 2315. What is p(-14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 5574438589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7881 minus -0.4?\nAnswer: 9.1881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 4. Let z be v(11). Let d be -4 + z\/(-1) - 3. Put -5, d, -2 in ascending order.\nAnswer: -5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzcw when four letters picked without replacement from {c: 1, w: 3, u: 1, m: 1, s: 4, z: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 3 (c) -2\/15 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 - 36*s**2 + 18*s + 9. Let d(i) = i**3 - 2*i**2 + i + 1. Give -18*d(b) + g(b).\nAnswer: -21*b**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 5*l**6\/18 + 85*l**4\/24 - 30*l**3 + 55. Let z(m) be the third derivative of n(m). Differentiate z(g) with respect to g.\nAnswer: 200*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15587, 15323, 14611, 13223, 10931, 7507, 2723, -3649?\nAnswer: -11837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -187, -161, 2, 0.\nAnswer: -187, -161, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010101 - 11?\nAnswer: -10010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 10*u**2 - 24*u + 18. What is l(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -436628 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24065 is divided by 3864?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4278898 + 0.428. What is a rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722914 less than or equal to 722628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2815, 22781, 77281, 183679, 359339?\nAnswer: 621625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*b**2 + 15*b**2 - 9*b**2 as t + n*b**2 + k*b and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 495*z - 503*z - 54 = 0, -36 = -d + 5*z for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 3*l - l)*(0*l + l + 0*l) + 5*l**2 - l**2 - 3*l**2 + l**2 + 1 - 1 + (-l + l + 2*l)*(0*l - 3*l + l) + (0*l - l + 3*l)*(419 - 419 + 76*l).\nAnswer: 148*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 24.9. Let u = 865 - 865.9. Let m be -1 + 3 + 2*-1. Which is the closest to m? (a) -1 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2fb8 (base 16) to base 4\nAnswer: -2332320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 4:01 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c + 740. Suppose -3*t + 5*g + c = 0, 6*t - 3*t + 2*g - 178 = 0. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2695) - -1*sqrt(2695))\/((sqrt(66)\/sqrt(6) + sqrt(11))*-1) + 2.\nAnswer: -7*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvx when three letters picked without replacement from vxvxv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1269*s**2 + 55*s + 26. Is v(-4) a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5978150 and -2.32.\nAnswer: -5978152.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 19*j + 1356. Let s(y) = 2*y + 271. Let b(z) = q(z) - 5*s(z). Let k(t) = -t + 1. Let o = 3 + -1. Let a be k(o). What is b(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 180 = -4*g, -5*g + 3*r = -2*g - 135. Let q be 3*-6*(-2)\/9. Suppose 0*o + o = -4*d, -q*o + 60 = -4*d. What is the remainder when g is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4809.12 millimeters?\nAnswer: 4.80912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 794435 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428941.17s to hours.\nAnswer: 119.150325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 44, 85, 142, 215?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*t = -3255, 3*h - 1835 = 2*t + 113. Suppose 4*l = 5*q + 497, -q + h = 5*l + q. Does 32 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -49. Is 8 a factor of 6 + -5 + t*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09390696 + 0.0939. What is q rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 - (6 + 2 - 4)) + (-985 - -982).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 50479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q**(-2\/19))\/q)\/q)\/q**(1\/6) assuming q is positive.\nAnswer: q**(-31\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -123bc?\nAnswer: -123bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 52*f**2 + 1 - 25*f**2 - 30*f**2 - 2*f**3 + 2*f. Let d = -4 - -2. Determine y(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 - 18 + 5*m**3 - 8*m**3.\nAnswer: 4*m**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Let p(a) = -7*a - 14*a**2 + 8*a + a**3 + n + 14*a**2. Calculate p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 7743*i\/2 + 23175.\nAnswer: 3*(i - 2575)*(i - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-36)\/(c*c*c**(2\/21)))\/((c**(-17)*c)\/c**(3\/11)) assuming c is positive.\nAnswer: c**(-5041\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6562*w - 156092. Give b(-24).\nAnswer: 1396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 9) to base 4\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**3 - 106*d - 63*d + 107*d + 8*d**4 wrt d.\nAnswer: 96*d**2 + 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066124351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*a**3 + 2*a + 14*a + 0*a**3 - 5*a**5 wrt a?\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.5 - -70.4. Let d = p + -61. Let w = -59.999 + -0.001. Are w and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-3\/7))\/i**(1\/7)*(i*i\/i**(2\/5)*i)**4)\/((i*i**(-5)*i)**(5\/7))**(-17) assuming i is positive.\nAnswer: i**(-866\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 10*t**2 - 2. Let g be b(-10). Let l(k) = k + 4. Let r be l(g). Determine m so that -18*m**3 + 16*m**2 - 15*m**r + 22*m + 23*m**2 + 4 = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.5884 days to nanoseconds.\nAnswer: 5494037760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2438426 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/11 + 26*m**2\/11 - 112*m\/11 + 160\/11.\nAnswer: -2*(m - 5)*(m - 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9460.7 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 2, s: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0806657 rounded to five decimal places?\nAnswer: -0.08067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 61*m**2 + 3880*m - 130. Give a(-64).\nAnswer: 1406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -7. Let j = k + -8. Solve -z + j*z = -5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 17. Determine f(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46 + 5423561?\nAnswer: 5423512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*n - 37*n. Let y(m) = -m - 5. Let x be y(-7). Suppose -x*b - 2*b + 20 = n. Solve b = -0*h + 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.413981 and -4.\nAnswer: -3.586019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-96)\/28 + 3 + (-236028)\/(-119)?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 7. Suppose 5*i + 2*d = 55, 0 = -i - 7*d + o*d - 2. Calculate the highest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/12 - 44\/80.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 317*p - 1366. What is b(5)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27000 divided by -54?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65633?\nAnswer: 65633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2*sqrt(180))**2 - sqrt(180)) - 2*sqrt(180)*-2 - -3*(-1 + ((sqrt(180)*-1)**2 - sqrt(180)))*-6.\nAnswer: -2506 + 126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 0. Let y(f) = -2*f + 10. Let m be y(j). Solve 3*l + 14 = -b, 6*l - 5*l + 5*b = m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-1)\/(3\/(-31188)). Suppose 0 = -4*v + 5*b - 10410, -4*v + 2*b = 4*b + f. What is v rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 7*t**2 - 8*t - 14. Give j(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 8)\/(1 - 0). Let h = f + 10. Suppose 5*a + h*u = 32, 2*a = -3*u - 0*u + 20. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12836416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -11. Suppose s - 9 = 2*t - d*t, 2*s = -2. Calculate the lowest common multiple of t and 4 + (-6)\/(3 - 6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5397123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11900393?\nAnswer: 911, 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 9:57 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4 = -2*q + 4, -5*q = 2*x - 29. Suppose -2*b - q = a - 13, 0 = -5*a + 4*b - 2. List the prime factors of (a + 1)*1376\/24.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 11*c**2 - 2*c + 12. Let u be (-23 - -1)\/(8\/(-1) - -6). Let o be y(u). Calculate the smallest common multiple of 24 and (42\/o)\/((-12)\/40).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 6963, 10, 14 in ascending order.\nAnswer: 0.3, 10, 14, 6963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*y + 13 + 47. Sort -2, -5, y, 4 in decreasing order.\nAnswer: 4, y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25194010?\nAnswer: 2, 5, 31, 67, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0619 in -1\/4, 1.33, -2\/21, 0.5, 5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*p**3 + 2*p**4 - 531*p**2 + 530*p**2 - 2 + 7 + 3 to g*p**4 + c*p**2 + x*p + s + w*p**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.4, 5, -1.8, 7340, -2, -2\/7?\nAnswer: 7340","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2289, -2239, -2105, -1845, -1417, -779, 111?\nAnswer: 1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + q + 2)*(-4*q**2 + 4*q**2 + q**2) - 7*q + q**3 - 101 + 101 + q**2 in the form g + l*q**2 + h*q + a*q**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**5 - 505*c**4 + 9285*c**3 - 8775*c**2 = 0?\nAnswer: -117, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70 * -55.6.\nAnswer: -3892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/15)\/(16\/(-6))*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 1 + 1)*(3 - 1 + 0) + 5*w - w + 0*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 - -144. Suppose 0 = f*c - 6*c - 5280. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1350\/360)\/(6\/(-16))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-18)*(-40)\/(-60). Let y(q) be the second derivative of -q**5\/4 + q**3\/3 + q**2 + q. What is y(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -102\/7. Put p, 1.5, 2\/9 in ascending order.\nAnswer: p, 2\/9, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-7)\/((-42)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 22*p - 61. Give b(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*m - 4*m - 2550 = 0. What is the highest common divisor of m and 1768?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -75.6082497 from 9.7.\nAnswer: 85.3082497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-28)\/j*j*j**25*(j*j\/j**(-6))**(1\/8) assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x. Let s(c) = c + 320. Give s(y(v)).\nAnswer: v + 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(2\/23))\/g)\/g*g)\/g)**(-9\/10) assuming g is positive.\nAnswer: g**(45\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*v**2 - 44*v**2 + 21*v**2)*(2*v + 2*v - 3*v - 2).\nAnswer: -6*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74.9300038778 + -74.93. What is w rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 15*h - 187. Let y be s(9). Solve y = 2*c + 21 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -818342 and 1.2.\nAnswer: -982010.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5368 - -5368.2. Let x be (-4)\/(-14) - 7928\/(-182). Let u = x + -44. What is the smallest value in -0.4, j, u, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41618994 and 2.3.\nAnswer: 41618996.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 39*q - 83*q - 3 + 7*q**2 + 43*q. Suppose 0 = 35*p - 30*p + 35. Determine o(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2331321241 (base 5) to base 8.\nAnswer: -24273502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -24. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 2. Let l be (2 + -2 - 5) + 2. Let p be k(l). Let s = -216\/805 - 2\/115. What is the biggest value in -2, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -205, -4, 4, -165, 95 in descending order.\nAnswer: 95, 4, -2, -4, -165, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 5:58 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 5:54 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 8*g**2 + g - 8. Let k be x(8). Suppose k*r - r = -15. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 + 4*b + 1. Suppose 12 = -4*p, 3*a - 3 = -19*p + 24*p. Let r(l) = -4*l**2 + 5*l. What is a*r(f) + 5*c(f)?\nAnswer: f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-37)\/(-30) + (-200)\/(-750). Let 39\/2*s + 21\/2*s**3 - 6 - l*s**4 - 45\/2*s**2 = 0. What is s?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1938*c**3*u**2 - c**2*u**2 - 46*c*u**2 - 2*u**2 wrt c.\nAnswer: -11628*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = 8*q - 3621. Let m = q - -799. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2523 = 2827. Suppose 30 = -3*d + 45. Suppose 802 = d*p - 2*p - u, 4*p - 2*u = k. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*y + 2*y. Suppose -11 = o + y*m - 0*m, -2*o - 3*m - 7 = 0. Solve o*c = -2*w - w - 1, 25 = 5*w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -214, -241, -326, -499, -790?\n\"Answer: -5*r**3 + r**2 + 5*r - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 126 = -19*p. Let h(l) = -l**2 + 7*l - 2. Calculate h(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7395078023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2018)\/(-3) + 3\/18*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/240512 and 29.\nAnswer: 240512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -496108449 rounded to the nearest 1000000?\nAnswer: -496000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102102200120 - 21100?\nAnswer: -102102221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + f + 21. Suppose -2*h + 4*x = 3*h + 8, 2*x - 4 = 0. Let j = 23 - 12. What is the remainder when z(h) is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 941, 392, -513, -1792, -3463, -5544, -8053, -11008?\nAnswer: -14427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2782976 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by 7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 1166829.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*x - 91*x + a - 11 = 0, -4*x + a - 11 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 828163, 828200, 828237, 828274, 828311?\nAnswer: 828348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 86, 31, -34?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/(65\/25).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/11)*u\/(u*u**(11\/4)*u))**(7\/9) assuming u is positive.\nAnswer: u**(-1043\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 162563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 504 + -506.53. Let a = -1.24 - d. Round a to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 823, 3305, 7449, 13261, 20747, 29913?\n\"Answer: l**3 + 825*l**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 3*c**2 - 2*c - 2. Let a be u(-3). Let d(p) = 4*p + 5. Let w be d(a). Suppose -3*n - w + 63 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:50 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 + 35*p**2 - 3*p**2 + 146*p**2 + 4*p**3.\nAnswer: 6*p**3 + 178*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 - 96. Solve 6*n = v - 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355352026.\nAnswer: 2, 7, 139, 696481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*n - 993 + 33*n + 15*n + 12*n + 19*n to the form g*n + i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2*2*3\/(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.5 + -32. What is the second biggest value in 2\/9, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307, -788, -1407, -2158, -3035, -4032?\nAnswer: -5143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 350 - 324 - 2\/2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*k + 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.235 + -0.22969. What is g rounded to four decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(2 + -3*2*sqrt(448)) + -3 + -3.\nAnswer: -15 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 214010 (base 5) to base 11\nAnswer: 55aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68271.588 minutes in weeks?\nAnswer: 6.772975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6596 divided by 68?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7835 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -30031230 (base 5) in base 13?\nAnswer: -83809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -797\/942 - -2\/157. Suppose -18 = k - 4*i, i - 14 = -k - 3*i. Let u be -4 + 2 + -1 - k. Which is smaller: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(20) - sqrt(50)\/(sqrt(10) + sqrt(40)\/sqrt(4)).\nAnswer: 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6093539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(175) - (sqrt(175) - (sqrt(175) + 1))))*-6.\nAnswer: -30*sqrt(7) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -39\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 32*q**2 - 29*q + 112. Let h be b(-33). Sort h, -3, 3 in descending order.\nAnswer: 3, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1267 - -1269. Solve -22 = 6*b - 2*b + n, 24 = -4*b - z*n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-213 + 198 - 855\/(-55)) + 86\/44?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/2*15\/((-90)\/(-436)). Suppose -16*g - 7 = -w. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 - 13?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33761 = 2*a - 3*j, a - 5*j + 6*j = 16868. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v - 139 + 160. Suppose 5*t = -5*k + 41780, -2*k = -3*t - v*k + 25062. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -164.\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 7:45 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orjo when four letters picked without replacement from orjoooojooro?\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128 + 9182*n - 4591*n + 0*n**2 + 5*n**2 - 4593*n - 3*n**2 to the form z*n**2 + t*n + f and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(0 + -3) - -7. Suppose -a*n + 104 = -36. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*i - 57 = 0, 2*i - 26 - 25 = 5*g. Is 9 a factor of (56\/12)\/((-2)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -31*v. Suppose 4*z + 29 = -5*x, 2*z + 6 = -4*x - 16. Is c(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 0*l + 4. Let r be (1 - (-4 - -2)) + l. Solve 2*w - 8 = 0, g + 25 = -2*g + r*w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -75. Let t = 19 + -6. Calculate the remainder when d is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-16)*a*a\/(a*a\/(a**(1\/6)*a))*a)\/((a*a**4)\/(a*a**18)) assuming a is positive.\nAnswer: a**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1467 + -24?\nAnswer: -1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 17, c: 1}. Give prob of picking 1 c and 1 w.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2204833368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(-3)*20. Let b be z\/4*(-4)\/(-5). Let r = 14 - b. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 13275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -31. Let j(y) be the second derivative of y**5\/20 + 7*y**4\/12 - y**3\/3 - 3*y**2 - y. What is the units digit of j(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2111.1 - -31308.33227.\nAnswer: 33419.43227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k - 10. Let s = 22.16 - 21.76. Let a = 5 - 7. Put s, a, k in decreasing order.\nAnswer: k, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:05 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 4)*(0*i**2 + 4*i**2 - 6*i**2)*(146*i**3 + 12009*i - 12009*i).\nAnswer: 876*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1584861, 6339371, 14263571, 25357473, 39621089, 57054431?\nAnswer: 77657511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*z + 37, 0*f + z - 38 = -4*f. Let h(n) = n - 8. Give h(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -17 + (-1 - 1 - -3). Let a = 31 + u. Let y be (-3 + 39\/a)*-5. Sort 5, -2, y in decreasing order.\nAnswer: 5, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 - 3*o**2. Let w = -4397 - -4394. Suppose -4*d = -3*d + 1. Let j(c) = c**2. What is d*l(n) + w*j(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -14*p. Let x(s) = 2*s + 50 - 50. What is n(x(w))?\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**(11\/7)))\/(c\/(c*c**(-3))))\/(c**(4\/11))**18)**(-32) assuming c is positive.\nAnswer: c**(19648\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1876 divide 5286353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide (13786\/8 + -2)\/(-33*22\/(-9680))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*b**2 - 18*b**2 + 12*b**4 + (5*b**3 - 1 + 1)*(-22*b + b - 8*b).\nAnswer: -133*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*m - 3*y - 73, m - 36 = 2*y. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 473341960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3751*r + 2. Let t(c) = -c**2 + 54*c - 6. Let i(d) = -9*d + 1. Let y(z) = 6*i(z) + t(z). Determine y(n(k)).\nAnswer: -14070001*k**2 - 15004*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)\/l**10*l*l**(-7)*l**(3\/8))**(4\/3) assuming l is positive.\nAnswer: l**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620967 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6467 and 3568.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 410, -26\/5, -13, -1\/2, -0.4 in decreasing order.\nAnswer: 410, -0.4, -1\/2, -26\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - x + 4820 + 4826 + 2*x - 9646.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 48*o**2 - 446*o + 971. What is v(-34)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-266)\/(-342) + -1 + (-17)\/(-117)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4097*g + 111 = -4060*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -239, -353?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 times -1.888?\nAnswer: -143.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 424703.6 litres in millilitres?\nAnswer: 424703600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 238, 388, 608, 904, 1282, 1748, 2308, 2968?\n\"Answer: n**3 + 29*n**2 + 56*n + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683162 is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2. Let b be ((-88)\/(-16))\/(-11)*(-70 - 0). Let m(w) = -74 + 41 + 27*w + b + 29*w. Determine m(o(c)).\nAnswer: -168*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x + 13*x + 9*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(0*j**3 - j**3 - j**3) + j**3 + j**3 + 0*j**3 - 1 + 1 - 2*j**3 + 7*j**3 + 368*j + 70991 - 70991.\nAnswer: 3*j**3 + 368*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -31 - (-317 - -290)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -13124*u. Let j(i) = -5046*i**2 + i. What is j(f(a))?\nAnswer: -869119891296*a**2 - 13124*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q - 31. Let z be d(-14). Is z*156\/18*3\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - m**2 - m + 26. Give d(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -21, 5, 183, 0.07, -2\/21, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(143) + sqrt(143) + sqrt(143)*3 + sqrt(143)))\/(2*sqrt(396)).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 312846 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 13*h = f - 54, -2*f - h + 108 = 0. Let k(z) be the second derivative of -6*z**3 + 0 - 36*z + f*z**2 + 1\/4*z**4. Factor k(x).\nAnswer: 3*(x - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -628\/5 + 126. Let o = 11 - 8. Let q = 3.1 - o. Which is the third biggest value? (a) g (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 - -2) + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 220230?\nAnswer: -77\/220230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7395778.54 to the nearest 10000.\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.8 - -3. Let h = 3.6 + -0.6. Let n = h + k. Which is the closest to n? (a) -0.2 (b) 4\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-14))\/((-185)\/(-74)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2) + -1)**2*-5.\nAnswer: -90 - 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 8*z + 2. Let t(d) = d**3 - 2*d**2 - d + 2. Let b be t(2). Let q(x) = -x - 8. Let r be q(b). Calculate the remainder when 5 is divided by o(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -11*g + 0*g**2 + 0 - 1\/48*g**4 + 1\/24*g**3. Let f(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.7+2.4\nAnswer: 10.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - t. Let l(j) = 6*j**2 - 7*j - 21. Let y(q) = -3*i(q) + l(q). Let s be (35\/15 + -5)*(-6)\/(-4). Does 4 divide y(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11077 + 16986. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 + 858962*p**4 - 184453070397*p**3 - 368908717684*p**2 - 184454788324*p.\nAnswer: -p*(p - 429482)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x - 1. Suppose -5*y = 5, -2*y + 0*y - 110 = -4*c. Let g be c\/12 + (-1)\/4. Let i(h) = 5*h - g - h + 0. What is i(d) - 2*m(d)?\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.358, 7, -0.017 in decreasing order.\nAnswer: 7, 2\/3, -0.017, -0.358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.22444 + 0.32444. Let n = 6.1 + -34.1. What is the closest to -1\/2 in n, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {q: 5, h: 2, r: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 86 (b) -432 (c) -0.258\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**4 + 5*t**4 - 4*t**4 + (-2*t**2 + 4*t - 4*t)*(5*t**2 - 2*t**2 - 2*t**2) + (t**4 - 3*t**4 - t**4)*(16 - 39 + 11).\nAnswer: 31*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndwnnnwdwdwwddd. What is prob of picking 2 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6 = 2*t, q - 3*q - 3 = -5*t. Let r be 0\/(((-1)\/(-1))\/t). Suppose r = -n - 0 + 3. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.097? (a) 0 (b) 1\/2 (c) -10 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301287 divided by 64.\nAnswer: -301287\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.951 to 0 decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 116506 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8266938?\nAnswer: 2, 3, 19, 127, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + a5bb?\nAnswer: a5be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 29949?\nAnswer: 179694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -18*s. Let r = 84 - 80. Let z(q) = 9*q. Let v(t) = r*w(t) + 9*z(t). Let p(l) be the third derivative of -l**4\/8 + 5*l**2. What is -17*p(a) - 6*v(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*16157693\nAnswer: -2423653.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/3 (c) 2\/5 (d) -1 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 2*l**2 + 6*l. Let i(s) = -s + 0 + 0*s + 0. Let x(u) = 3*u. Let h be x(-2). Let b be h\/(-21) + 30\/(-7). What is b*i(y) - n(y)?\nAnswer: -y**3 + 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 5286*y - 31755. Give d(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 1c21e6?\nAnswer: 1c21e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 + 117. Suppose 0 = -9*n - 440 - r. Are n and -53 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 5. Suppose -2*h = -i*h. Suppose 5*p = -3*u + 28, -3*u + p - 1 = u. Do h and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 2 + 2 + (-2)\/9. Which is the closest to 2\/31? (a) x (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 9. Let z(r) = 3*r - 3. Let j be z(3). Determine p(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 529774908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 934 - 926. Let n be 141\/27 + (-2)\/9. Suppose d - n*s = 45, 14 + 21 = d + 5*s. What is the highest common factor of k and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - 3 - -6) - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 - (-1 + 4484\/(-12)). Let z(v) = -8*v + 2. Let m be z(-4). Calculate the highest common factor of m and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000110010010011100 (base 2) to base 7\nAnswer: 2306234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 411661, 411672, 411691, 411718, 411753, 411796, 411847?\n\"Answer: 4*x**2 - x + 411658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 103619691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 9*k**2 + 8*k - 4. Let d be o(8). Let a be (-659568)\/(-286) + d\/22 + 0. Suppose -b - 375 + a = 2*n, 5*n = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14d (base 14) to base 5.\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1238145*l**2 - 3839762*l.\nAnswer: -2476290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 greater than 1258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/5)*z)\/(z**(-6)\/z))**1*((z**(-1\/4))**46)**21 assuming z is positive.\nAnswer: z**(-2329\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -16. Suppose 0 = -4*i + 2*w - 4*w + 48, 0 = 3*i - 5*w - 10. List the prime factors of 2\/(v\/i*1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f + 55. Determine m(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-8)\/4)\/((-26)\/(14352\/36)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 195 = 10*v - 7*v. Let l(z) = 6*z + 14. Let k(f) = -3*f - 7. What is v*k(s) + 6*l(s)?\nAnswer: -3*s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1017298, 1017358, 1017466, 1017628, 1017850, 1018138, 1018498, 1018936?\n\"Answer: w**3 + 18*w**2 - w + 1017280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 - 2*a**2 + 3*a**2 - 5*a**2.\nAnswer: -4*a**2 - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 56 + 6 - 5 - o**2 + 2*o**3 to h*o**3 + a + c*o**2 + v*o and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168\/(-9))\/(546\/(-468))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 510 + -509. Solve g = 2*u + 2*s - 3, 3*u - 5*s + 26 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1163000 rounded to the nearest ten thousand?\nAnswer: -1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 greater than 667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 3*h + 2*h - 5*h + 5*h + 2*h + (-1 + 1 - 5*h)*(-3 - 2 + 4) + (2 - 2 + 2)*(40 + 6*h - 40))*(-5*h + 3*h + 0*h).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121861108 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c - 15. Let f(z) be the first derivative of -z**2\/2 - 8*z + 1661. Give 6*a(l) - 11*f(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 64*c**2 + 61*c + 126. Let g be n(63). Solve 2*w - 21*w - 76 = g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121747 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 0 - o)*(-2*o + 1 - 1).\nAnswer: 2*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgzgzzzqgggzz. What is prob of picking 1 z, 1 q, and 1 g?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 11*o - 1998. Suppose 0 = 8*n - 10*n + o. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m + 2. Let g(i) = -i + 1. What is -f(t) + 4*g(t)?\nAnswer: 5*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/20 and (2 - 19\/10)*9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3326, 13295, 29864, 53027, 82778, 119111?\nAnswer: 162020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2.0127.\nAnswer: -0.9873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 4 = -3*y. Let f(l) = -l**2 - 8*l - 5. Let r be f(-7). Suppose 0*j - 6 = -r*j. Sort y, j, -5 in descending order.\nAnswer: y, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43488 - -112853. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -10, -6 = -m + 7*o - 3*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 58, -120, -3 in decreasing order.\nAnswer: 58, 2, -2, -3, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -914 + -14207217467.\nAnswer: -14207218381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-88)\/6*(-11 - -8). Let n = p + -42. Let s be (8\/6)\/(1\/(-3)). Which is the third biggest value? (a) n (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) -339174 (c) -3 (d) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -22. Let i = s + -16. Calculate the remainder when 12 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1023126835614 - -0.2.\nAnswer: -1023126835613.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1*sqrt(1053) + 4 + 0)**2 + 1)*-1*1.\nAnswer: -1055 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4122)\/(-17862))\/((16\/884)\/4).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590 + 4*l + 590.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-299)\/9 + 2\/9. Let b(q) = q**2 - 2*q. Let x be b(1). List the prime factors of (-407)\/t*(2 - x).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -8\/3*n + 1\/3*n**4 + 2 - 16\/9*n**3 + 10\/3*n**2. Factor o(k).\nAnswer: 4*(k - 2)*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 8*w - 11 = -3*w, -4*q = -2*w - 20. Suppose 19*l = q*f + 15*l - 13100, 4*f = 5*l + 17465. Round f to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.3 (b) -27.364 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.18, -4, 4\/1183 in decreasing order.\nAnswer: 7.18, 4\/1183, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(7*s - 6*s - 5*s)*(s**4 + s**3 - s**3).\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 11, 0.27, -1.7 in descending order.\nAnswer: 11, 0.27, -2\/13, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74344.09m to nanometers.\nAnswer: 74344090000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1366830*c**3 - c**2 + c + 1194.\nAnswer: 8200980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = g - 2*g + 5*v, -13 = -g + 4*v. Let l = g - 2. Let n be (-3)\/(-6) - 1\/2. Solve -9 = -b - 5*k, n*b - 4*b - l*k + 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 5. Let b(l) = -l**2 - 3. Let s(z) = 3*a(z) - 5*b(z). Let g(u) be the third derivative of -u**5\/15 - u**2. Give s(g(f)).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*y + 130*y - 70*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28965048*s**3 + 14235448*s wrt s.\nAnswer: -173790288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 74514?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000437 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*j**2 - 254*j**2 - 10*j - 160*j**2 + 10*j.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880 = -6*p + 142. Let l = p + 373\/3. What is the third biggest value in l, 3\/5, 1.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140898*t - t**4 + 301*t**3 + 2 - 65*t**3 - 140894*t to the form v*t**2 + d*t**4 + h*t + f*t**3 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from sssssssssssssssswsss.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.05, -1\/4, 2.4, 10?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:04 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16621.\nAnswer: 11, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -57*m + 30. What are the prime factors of l(-10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -75. Calculate the remainder when q is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 17 = 43 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 152, 404, 824, 1412, 2168?\n\"Answer: 84*i**2 + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)\/k)\/k**(1\/4)*k**(1\/16)\/k**(-2\/13) assuming k is positive.\nAnswer: k**(-853\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p - 2*p**2 + 2 - 2*p**2 + 3*p**2. Let b be t(-5). Solve -h - h - b = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2337 and -61\/15.\nAnswer: 11685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/455)\/(9\/(-15))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 1784, -2, 16, -13 in increasing order.\nAnswer: -13, -4, -2, 5, 16, 1784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 7 - (7 - 3). Solve 0 = -9*j + b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 3*j**2 + 6*j - 4. Suppose c - 5*k = 19, 3 = 3*c - k + 4*k. Let n be h(c). Suppose n*a + 3*i = 40, a + a = 4*i + 42. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - 2*p)*(3*p**2 + 3*p**2 - 5*p**2 + (-22*p - 39*p + 20*p)*(2*p + 150 - 150)).\nAnswer: 162*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9008 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.13999924 - 0.14. What is b rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5 = 0, 0 = 5*l + 7*t - 3*t + 10. Suppose 0 = l*b - 4, -5*b - 185 = -m + 40. What is the greatest common divisor of 94 and m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 679\/520 - 11\/104. Factor p*u**4 + 0*u**2 + 24\/5*u - 18\/5*u**3 + 0.\nAnswer: 6*u*(u - 2)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkbbkubkbbbbbkbbbbk. Give prob of sequence ub.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 6 + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*c**6 + 37*c**2 + 9 + 72*c**6 - 11 + 15*c**2 - 13*c**2 wrt c?\nAnswer: 15120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 461*o. Let i(a) = 3240*a. Let m(f) = -4*i(f) + 27*w(f). Let c(g) = 2*g. Calculate m(c(z)).\nAnswer: -1026*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-5*i**4 - 6*i**4 + 5*i**4)*((342 + 61 + 139)*(-5 + 3 + 4) + 1 + 3 - 1).\nAnswer: -13044*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20342 + 0?\nAnswer: -20342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 13*p**3 + 5*p**2 + 10 - 14*p - 21*p**3 + 6*p**3. Let h be o(10). Is (2\/(-10))\/(2\/h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/5)\/z)**(-41)\/(z*z*z*z\/z**(-1\/3)*z)**14 assuming z is positive.\nAnswer: z**(-751\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 85*c**2. Let i(r) = 10*r**2 - 7*r + 241. Determine i(n(a)).\nAnswer: 72250*a**4 - 595*a**2 + 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482545 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -130297458.5 - -30?\nAnswer: -130297428.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 44 - 4 = 0. Let w = h - -6. What is the units digit of (-2)\/7 - (-130)\/w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 402*o**3 + 14*o**2 + 26*o**2 + 110 - 155*o - 397*o**3.\nAnswer: 5*(o - 2)*(o - 1)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 358998.585115 - -0.414885. Let c = -358997.000001 + w. Let g = c - 2. What is g rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 70. Suppose -x + n = 35. Let m(u) = 5*u + 3 - 43*u**2 + 44*u**x + 2*u + u. What is m(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2819, -14732, -34589, -62390, -98135, -141824?\n\"Answer: -3972*n**2 + 3*n + 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1432 - 599?\nAnswer: -1a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 6 = -5*m + 2, -m - 8 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -15. Is g <= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 49. Suppose 4*z + o = -9 - 1, -5*o + 4 = 2*z. Sort q, 4, z.\nAnswer: z, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 20, 0.128, -1.4 in decreasing order.\nAnswer: 20, 3\/2, 0.128, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 2 + 1 + 4 + sqrt(304) + 3*sqrt(304) + sqrt(304) + sqrt(304))**2.\nAnswer: 392*sqrt(19) + 14945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (-6 - (-6 + 1 + 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbbdbmbmbdbdbdb. What is prob of sequence dbdb?\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3)\/a)\/a)**(-1)\/(a**(1\/4)*a\/(a**(-6)*a))*(a\/(a*a\/a**(1\/4)))**(8\/9)*a**(2\/31)*a*a**(-2\/7) assuming a is positive.\nAnswer: a**(-3881\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 0*q - 41 = 157*p - 160*p, -p + 195 = -12*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1601610 and -2\/160161.\nAnswer: 1601610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 558 and 2232?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/4 + 1)*-4. Suppose 0 = 5*v - j*n, 3*v + 3*n - 22 = -4. Suppose -149 = -5*u - 3*o, v*u - 5*o - 27 = 76. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 57 = -8*r. Let x = 22 - r. Solve a + 1 = -x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - n + 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaoqxqbaaaoxqabx. What is prob of sequence aqbb?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - 5*a**2 + 8*a - 18. Calculate the remainder when 64 is divided by h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -326878*1.55\nAnswer: -506660.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -240, 1, -6 in decreasing order.\nAnswer: 1, -6, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138390739 or 138390736?\nAnswer: 138390736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -14974.12 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 610436 to the power of 1\/2, to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 4*y**3)*(-48 - 89 + 36) to the form k*y + c*y**2 + z*y**3 + u and give z.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 132947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42162 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 101*u**2 + 16*u - 172. Determine b(101).\nAnswer: 1444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -369\/623 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87.35, 1.4, 0.\nAnswer: -87.35, 0, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41519 = 4*f + v + 317521, -5*v + 206990 = -3*f. Round f to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 791608?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232388993.\nAnswer: 7487, 31039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 28*f**2 - 6*f + 7. Let v(z) = 12*z**2 - 3*z + 3. Let h(u) = -5*v(u) + 2*x(u). Give h(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28720965.1 rounded to the nearest 1000?\nAnswer: -28721000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 22*u - 4 = -f, -20 = -5*f - 3*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-52)*49\/98?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**5\/120 + s**4\/6 - 140*s**3 + 6. Let o(q) be the third derivative of j(q). Suppose 0 = -4*h + 2*h - 6. Calculate o(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cycyjywjcjyjjywjyjy. Give prob of picking 1 c, 1 y, and 2 w.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25928093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 1:56 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78128 and 55769.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/30 - 8\/60. Let n(l) = -l - 6. What is n(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-22)\/(-16) - 1. Let y be (-1460)\/(-32) + 268\/32 + -8. Let w be (-31)\/(-248) - y\/112. What is the biggest value in w, -2, f, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 3 + 15. Let v = c + 61. Suppose u + 21 = v. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 907498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 31. Let r = z - 11.5. Let p = 0.65 + r. Round p to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147504 and 3949683?\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32765? (a) -2\/15 (b) 2\/15 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 3*u - 11 = 0, -3*o = 199*u - 202*u - 24 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006021 rounded to 6 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193093245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 10329.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313480 is divided by 1289?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2\/11, -1164\/5, 7\/3 in increasing order.\nAnswer: -1164\/5, -1\/3, 2\/11, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 48*r - 124. Let n be p(3). Suppose 0 = -2*t - 3*d + n, d - 37 = -4*t + 2*t. Solve 55 = 5*w - t*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 85290, 341282, 767938, 1365258, 2133242, 3071890?\n\"Answer: 85332*c**2 - 4*c - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 2*a**2 - 1\/7*a**3 + 0*a - 1\/42*a**5 + 1\/12*a**4 + 0 + 1\/420*a**6. Factor o(v).\nAnswer: 2*(v - 3)*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w - 3 = -2*s, 2*s - 4*w + 4 = 0. Suppose -z - 2*r = -4, -z - r + 4 - 2 = s. Suppose z = v + 4*v - 40. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**(5\/4))\/t*t)\/t)\/t**(-3\/11)*t**(2\/43)*t**(5\/6) assuming t is positive.\nAnswer: t**(19313\/5676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.065.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 1866*h**2 - 163800*h.\nAnswer: 3*h*(h - 700)*(h + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-13)\/p)\/p)\/(p*p**(-2\/25)*p))\/(p**(3\/7)*p\/p**(-13\/2)))**(2\/67) assuming p is positive.\nAnswer: p**(-8697\/11725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -622 equal to 52171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -50. Suppose -5*w + 4*v + 12 = 0, 0 = 3*w - 2*v - 9 + 3. Put g, -3, w in increasing order.\nAnswer: -3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39693 + 39691. Let v(n) = -5*n**2 - 2*n + 2. Let r(l) = -1 + 2*l + l**2 + 0*l**2 - l. Give b*v(f) - 4*r(f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 19*x - 22*x. Suppose 5*l - 4*l = -x. Let b be (-1 - l)*13*-15. What is b rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 + -111. Let i = 12 + -10. Suppose -i*y + 7*y = 4*h + 9, -3*y + 3*h = -6. Sort -2, o, y, 5 in decreasing order.\nAnswer: 5, y, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, -131, 2, 0.01 in descending order.\nAnswer: 2, 0.17, 0.01, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 3270.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.32 - 0.552. Let z = -0.23200097 - p. What is z rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 24*t**2 - 638*t - 14948. Determine q(-22).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**3\/3 - 316*r**2 + 99856*r + 120. Factor m(v).\nAnswer: (v - 316)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p + 5*x + 430 = 0, p - 4*x - 92 = 0. Let f = -70856 + 70908. Calculate the remainder when p is divided by f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -33*u - 7. Does 16 divide g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 33\/2*j**2 - 3 - 27\/2*j**4 - 2*j**5 + 17\/2*j - 13\/2*j**3 = 0.\nAnswer: -6, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138486085?\nAnswer: 5, 53, 479, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*p - p**5 - 3013*p**4 + 3013*p**4)*(-2 - 4 + 4 + 6).\nAnswer: -4*p**5 + 308*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 27 - (2161 - 2102).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25*-216\nAnswer: -5400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)*f)\/f**(-5\/11))\/(f**(-19)\/f**9) assuming f is positive.\nAnswer: f**(258\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175*h**3*n**3 + h**3 + 17*n**2 wrt n.\nAnswer: -1050*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5375500?\nAnswer: 2, 5, 13, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -64.5.\nAnswer: -193.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (320\/(-24))\/10*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35044.1 and -5.\nAnswer: -175220.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.58 and -41122380?\nAnswer: 41122379.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 2:08 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 6*u + 132 = 0. Suppose -2*c - 5 + u = 0. Calculate the highest common divisor of c and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*k = 0, 4*k + 5 - 3 = 3*t. Suppose 3*g - 227 = l + 40, t*l = g - 89. Let u = g - 88. What is the remainder when u is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -401?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + 2*y**2 - 3*y**2)*(-154*y**2 + 3099*y - 3099*y) - 385 + 36*y**4 + 385 to the form p*y**2 + s*y + g + d*y**3 + j*y**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from cqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11174.95 + -11168. What is s rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 16. Suppose 12*t - 61 = 155. Let f be s(t). Let k = -73 - -81. Solve 0 = -f*g - k - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.902901 decades?\nAnswer: 0.9902901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p**3 + 29*p**2 + 52*p + 6. Let t(m) = 3*m**3 - 14*m**2 - 25*m - 3. Let c(z) = 2*n(z) + 5*t(z). Determine c(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/2 of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-75)\/(-16)) + (-208)\/624.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 29 = 2*d. Let m be ((-2)\/6)\/(1\/(-6)). Suppose h + m*x - 8 = 0, 0 = -3*x + 6. Calculate the remainder when h is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 16*a + 7*a + 4*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1041\/923 (b) 0.5 (c) 0.01 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10 and 13.343.\nAnswer: 3.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 3:47 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 120*b + 348. Let u(w) = -173*w - 520. Let k(m) = -7*g(m) - 5*u(m). Determine k(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 5*r - 1. Let o be q(-6). Suppose o = x, -3*h - 3*x + 31 = -7*x. Solve -3 - h = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446354.\nAnswer: 2, 67, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-258)\/(-860))\/((-3)\/(-8)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 21*o**2 + 934*o + 315. Calculate j(-44).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/44*132\/55?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 19*j**2 + 19*j + 4. Let z be y(-20). Let w be ((-2)\/16)\/((-18)\/z). What is the third biggest value in 5, -10, w?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -z - 3, 0 = -x - 2*x - 3*z + 9. Suppose 5099 = x*u - 6*m + m, -2*u + 3374 = 3*m. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19435\/1183)\/(35\/49).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -18. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*z**3 + 11*z + 3*z**4 + 3*z**4 - 2*z**4 - 7*z**4 - 14*z to n*z**4 + j + a*z + m*z**2 + b*z**3 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -19.1. Let y = w - -0.6. Which is the third biggest value? (a) y (b) 7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 28\/3 of a day?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -780 + 928. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2380\/(-7))\/17*9\/(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q - 2 = -39*q + 5*t, 0 = -4*q + 5*t + 42. Let a be 8\/6*(171\/18 - q). Solve o = 4*y + 15, 2*o + 1 - 13 = a*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8100 and 600.\nAnswer: 16200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**6\/120 + 7*i**4\/24 - 3*i**3\/2 + 8*i. Let n(r) be the second derivative of f(r). What is the derivative of n(z) wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 a when three letters picked without replacement from qqqqqddaaqaqqav.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -2514.3.\nAnswer: -2514.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 23*g - 9. Calculate the remainder when 213 is divided by m(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, b: 8, s: 3, z: 2}. Give prob of sequence esb.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**4 - 87*t**3 + 96*t**2.\nAnswer: -48*t - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 933*g**2\/2 - 3099*g + 1830. What is the first derivative of x(f) wrt f?\nAnswer: 933","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1306788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -3, 31, -2, 81 in decreasing order.\nAnswer: 81, 31, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**5\/40 - n**4\/6 - 139*n**3\/6 + 4*n. Let l(y) be the second derivative of m(y). Calculate l(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.1299 - -0.8391301?\nAnswer: -64.2907699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 6*d**2 - d + 2. Let u be o(-6). Suppose 0 = 3*r - u - 1. Let g = 565 - 562. Calculate the remainder when g is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 14*p - 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 320246557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*w = -30, 2*w - 93 = -103. Let k(o) = 11*o - 9. Determine k(s).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(8\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.413 + -0.113. What is the closest to 3 in 1.1, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11724 plus -4?\nAnswer: -11728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 281\/6 + -46. Sort 2\/9, 0, w in decreasing order.\nAnswer: w, 2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 9:43 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3344 divide 533156905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -4*j + 10, 2*j - b - 430 + 428 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 r when two letters picked without replacement from fffrfffrfffffrffffff?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*l - 5*u - 36, -5*l + 28 = -2*u. Suppose -7*p = -l*p - 225. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 915118297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -73 + 37 + 43*v - 15*v + 33. Is b(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000114272 rounded to six decimal places?\nAnswer: 0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -238.2 and 172717.\nAnswer: 172478.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7162871.03 rounded to the nearest 1000?\nAnswer: -7163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -4. Let b = j + 2. Let v(r) = 2*r**3 - 12*r**2 - 4*r + 30. Let o be v(6). Solve -2*u - o = -b*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 4*u**2 - 2*u. Let c be l(3). Suppose 12 = -5*i + 3*g, -2*i - 12 = -7*i - c*g. Suppose -2*p + 15 + 3 = i. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 - (-69 + 7) - 13?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -249468.7804 rounded to the nearest one thousand?\nAnswer: -249000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6819 - -6819.1. Let n be 2\/5 + 46\/10. Which is the third biggest value? (a) z (b) 11 (c) -5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(70 - (-257720)\/(-3680))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 2. Let z(l) = -5*l**2 - 2*l. Let n(c) = 2*i(c) + z(c). Let r(u) = -u**3 + u**2 + u - 1. Give -n(j) - 2*r(j).\nAnswer: 2*j**3 + j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 175*m**2 + 6*m - 6. Suppose -5*x = 3*j + 5, 4*j + 2*x + 12 = -4. Let k be a(j). Let h = k - 124339. Round h to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -688 (c) -4214\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-8\/7))\/(v*v*v**(-7)*v*v)*v**(-2\/7)\/v**(1\/4) assuming v is positive.\nAnswer: v**(129\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 7*f**3\/6 - f**2 - 10*f. Give t(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-336)\/40*50\/(-35).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 2, 0.4, -2\/17, -3\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y - 3. Let o(i) = 2*i + 1. Let c(s) = -s**3 - s - 5. Let d be c(0). Let f(j) = 2*j + 17. Let p be f(d). Calculate p*o(q) + 3*r(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -772 = -51*r - 262. Let z be (1 + -1 - 1)\/1. List the prime factors of 1\/z*(r - 82).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-4))\/(17 - 14))\/(-1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253b6 (base 16) to base 2.\nAnswer: -100101001110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*x + 3*x - 2*x)*(-6 - 5 - 3).\nAnswer: 126*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 1\/3, 0, 3428, -4\/5, -1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmpvddjvjv. Give prob of sequence pjj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n - 4*o = 102, n = -3*o - 54. Let w(v) = -7*v + 315. Let r be w(38). Let q = n + r. Put 0.5, q, 6 in increasing order.\nAnswer: 0.5, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/9)\/((-8)\/60). What is the remainder when (-814)\/b - (-216)\/360 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t - 21. Suppose 0*g = 3*g - 15, -4*u = -g - 51. What is the tens digit of f(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000100101101110 (base 2) to base 12\nAnswer: -333a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 5 - -13) + -12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42, -9, 48, 135, 258, 423, 636, 903?\n\"Answer: c**3 + 6*c**2 + 8*c - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26304740597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 10.34444.\nAnswer: -5.17222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 805809229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkkkkkbkkkkkk. Give prob of picking 2 k.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98997, -98968, -98939?\nAnswer: -98910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + t + 6. Let k be x(0). Let d = k - 16. Let r = 10 + d. Solve 5*p = -r*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, w: 7}. What is prob of picking 2 w?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2565)\/(-114)*3\/54. Which is the second biggest value? (a) p (b) 0.02 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -2. What is the remainder when (-1 - b) + (-1 - -53) is divided by (5 - -43)\/4 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1844 + 0.0518. Let m = 0.24 - d. Round m to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-10))\/((-8)\/2960). Let m be h\/(-20)*(-10)\/(-4)*4. Let w = m + 1607. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24.95 (b) 23 (c) 0.1 (d) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 - 4. Let b = 174 - 74. Let u(p) = -46*p**2 + b*p**2 - 56*p**2. Determine u(w(m)).\nAnswer: -72*m**4 + 96*m**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -8.6. Let s = 156 + -261. Let h = s - -105. Which is the second biggest value? (a) 2\/3 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*w - 19*w + w to c*w + b and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by (-5)\/(-25) - (-276)\/20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 3:07 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 115011175*o**4 - 62705834 wrt o.\nAnswer: 460044700*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6038 is divided by 1989?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 - 4*w**4 - 62*w - 5*w**3 - 2 - 1 + 27*w + 33*w to the form f*w**3 + m*w + j*w**2 + b*w**4 + g and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 + 3 + (39 + -20 - (-5 - -13))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-3))\/(-12)*1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-8)*(-52)\/39)\/(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p + 1. Let y be j(-4). Let v = y + -64\/3. Suppose -26*z = -24*z + 12. Are z and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0 (c) -24 (d) 81.015 (e) 1\/5 (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 5, 3\/5, -0.4, -6568?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 5*r. Let y be h(5). Suppose 4 = -3*t + 3*k + 1, -5*t + 2 = 2*k. Suppose y = l - t*l. Solve l = -0*m + m + 2*n, 2*n + 6 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 w when four letters picked without replacement from qqqqwwqw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -46. Suppose 0*o + 63 = w - o, 4*w - 258 = -c*o. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12834737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1483 and 1483 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -2\/27*p**3 - 1\/36*p**4 - 1 + 0*p - 1\/18*p**2. Let q(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.00856 + -101.951?\nAnswer: -100.94244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2417 + 510 - 46)*(-3*z + z**2 + 3*z) in the form j + f*z**2 + i*z and give f.\nAnswer: -1953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = 2*d - 9, 3*d + 2*p = 6. Let i(t) = -7 + 14*t - t + 4*t**2 - t**3 + d*t**3 - 5*t. Determine i(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/17334 and -44\/2295?\nAnswer: 1473390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478630056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebnnrnbnnnnhnrinib. Give prob of picking 1 i and 1 r.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 79*p + 36992 - 662425. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v\/(v*v*v\/(v\/(v*v**(1\/2)*v))*v))\/v)\/v))**(-35)\/(v**(-2)*v\/(v*v\/(v**4\/v)*v*v)))\/((v**(1\/2)*v)**17)**(-9) assuming v is positive.\nAnswer: v**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*t**2 + 658*t + 2975916?\nAnswer: 14*t + 658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/4*(-3)\/7. Let t = -784 + 784. Which is the second smallest value? (a) t (b) 2\/19 (c) -9 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 2*r - 3. Let q be (5\/(-10))\/((-3)\/(-18)). Let i be f(q). Suppose i = 3*j + 2*j - 175. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + (sqrt(432) + -2 - sqrt(432)) + -2 - 5*-4*(sqrt(12)*3)\/sqrt(4)))**2.\nAnswer: -3000*sqrt(3) + 270025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c + 158 = -72 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -576 + 1063. What are the prime factors of y?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.004 + -195768885\nAnswer: -195768872.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.5. Let h = -17431.9 - -17432. What is the smallest value in h, -4, -1\/3, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*b**3*j**3 - 13*b**3*j**2 - 2*b**3 + 13*b**2*j**3 + 14*b**2*j**2 - 9*b**2*j + 2 wrt b?\nAnswer: 168*j**3 - 78*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 5, 3 in descending order.\nAnswer: 40, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11*(-30)\/66)\/(5*3\/60)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -123105, -123097, -123099, -123117, -123157, -123225, -123327, -123469?\n\"Answer: -q**3 + q**2 + 12*q - 123117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*p - p. Let l(y) = y**2 - y. Let o be l(0). Suppose 4*c - i + 19 = o, -c - 3*c + 4*i = 28. Sort p, -2, c in increasing order.\nAnswer: c, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20021011 (base 4) to base 7.\nAnswer: 166141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 take away -16?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 - 3*t**3 - 1186*t + 5372*t - 4186*t.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 131502021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1526*p**2 - 16*p - 25 wrt p.\nAnswer: -3052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = o, 3*o + 5*m = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 927821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(20\/(-16)))\/(-2*(-7)\/(-56)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -37*a - 69. Is 20 a factor of m(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (14525 - (-3)\/(-1)) + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.50576 and -55.\nAnswer: -357.8168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 12:13 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1651 (base 8) to base 9\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2549*-0.4\nAnswer: -1019.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d**2 - 3*d)*(2*d + 2 - 2) + 358*d**2 + 14*d**3 - 358*d**2 + 4*d**3 + 0*d**3 - 2*d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 393 = -4*x - 1237, -5*x = -b + 211. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**5\/20 - x**3\/2 - x**2\/2 + 19*x. Let g be i(0). What is the remainder when 41 is divided by g + 25 + 6\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**4\/12 + q**3\/3 - 2*q**2 + 5*q + 6. Let o(h) be the first derivative of j(h). Calculate o(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**3*q**3 + 80*h**3*q**2 - 5*h**3*q + 1276*h**3 + 245694*h**2*q**3 - h**2 wrt q?\nAnswer: -36*h**3 + 1474164*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.23 + -2.97. Let h = u - 1.8. Let i = 5.048 + h. What is i rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3198 - -12793\/4. Which is the third smallest value? (a) -82 (b) 4\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -47*j**2 + 14*j + 17. Let x(l) = 16*l**2 - 5*l - 6. Let t(v) = 6*a(v) + 17*x(v). Find the second derivative of t(d) wrt d.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 - 1062*p - 3154. What is t(-351)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 = -20, -4*p = -3*r - 385. Solve -52*o = -5*o - p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 3. Let s be 18\/36*(-3 + 3). Suppose s*b = -2*b + r. Put b, 1, 3 in descending order.\nAnswer: 3, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -647 + 605 + -1 + 56.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (735 - 2)\/(136\/5576)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgf when three letters picked without replacement from iffgfjjfffxidf?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1199, 1202, 1205, 1208, 1211, 1214?\n\"Answer: 3*i + 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5*x - 435, -3*f - 3*x = -4*x - 281. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 512 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31634 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b + 1. Let d be v(-1). Suppose -d*i + 2*i + 2717 = 5*c, 5*i = -5*c + 6800. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75155 - -75157. Factor 35\/2*l**3 + 0 - 5\/2*l**5 + 10*l**s + 5*l**4 + 0*l.\nAnswer: -5*l**2*(l - 4)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -50. Let z = i + 20.34. Let q = z - 0.14. Which is the nearest to 2\/3? (a) 0 (b) q (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f - 16 + 16 - 6*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.3656728 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*n**2*v**5 + n**2 - 846*n*v**2 - 2*v**5 wrt v?\nAnswer: 3540*n**2*v**2 - 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 54*u. Let o(h) be the first derivative of -2*h**3\/3 - 58. Determine x(o(l)).\nAnswer: -108*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -604 + -192319.717\nAnswer: -192923.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2102133112 (base 4) to base 7\nAnswer: 5046223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 11*r + 16. Calculate the remainder when 79 is divided by u(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 511280 + -360001. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 19*b + 34.\nAnswer: (b + 2)*(b + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/14 + (-32)\/(-6))*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -1441*m**3\/3 - 1441*m - 1076. Find the first derivative of q(d) wrt d.\nAnswer: -2882*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.108 - -0.392. Suppose 0 = 4*d - 3*g + 11, -5 + 6 = -3*d - 5*g. What is the nearest to -1 in -4, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 53*q. Let t(p) = 21*p**2 + 5. Give t(h(o)).\nAnswer: 58989*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.08 and 0.2?\nAnswer: 4.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21870.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521183?\nAnswer: 13, 47, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*w - 180616 + 180272 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26604*f**3*m**2*w**2 + 502*f**3*m**2*w + 3*f**3 - 53*f*m**2*w**2 + 8*f*m**2*w - 3*f*w wrt w?\nAnswer: -53208*f**3*m**2 - 106*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16664711*q**4 + 12057166*q**2 wrt q?\nAnswer: -399953064*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12283 is divided by 2450?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4 - 13) + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 11590. Suppose -3*o - 3463 = 3*x + x, 5*o + 2*x = -w. Calculate the remainder when o\/(-33) - (-4)\/(-22) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41231 + 344431?\nAnswer: 441212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 2*b + 0*b + (0*b + 2*b + 2*b)*((2 + 0 - 3)*(-1 + 5 - 3) - 5 - 2 + 4).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32296, -32295, -32294, -32293, -32292?\n\"Answer: b - 32297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z - 28979 = -31478. What is the remainder when 180 is divided by z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, 11, 85 in descending order.\nAnswer: 85, 11, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.03687 (b) 5 (c) 4 (d) 0 (e) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*d + 51*d + 10. Suppose -517 = -d*g + 1468. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -113\/6*b**3 + 0 + b**2 - 15*b. Let m be u(4). Round m to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21785 - -21794.00064. Let k = 9 - f. Round k to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*r**3 - 25*r**2 - 56*r - 4.\nAnswer: (r - 2)*(r + 1)*(27*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2. Let w(c) = c**2. Let p(m) = -2*r(m) - 3*w(m). Let q(s) = 26*s**2 - 34*s. Let d(t) = 9*t**2 - 12*t. Let i(y) = -17*d(y) + 6*q(y). Give i(p(k)).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -20656?\nAnswer: 20655.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9721 + -6752. Let m(i) = i**2 - 5*i + 5. Let r be m(5). Suppose -r*z + d = 319. What is z rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27196 - 352871710\nAnswer: -352898906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3676*r**2 + 316*r + 10. Give k(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177 + 212. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*v - 4*h - 1, 0 = -h - 3. Suppose 0 = -v*t + t + 1046. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c - 19*c + 12 - 6. Let h(l) = -l + 1. Let a(z) = -h(z) + k(z). Calculate the remainder when a(-6) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 10. Let k be t(8). Let b be -2 + (-5399)\/k*4. Round b to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1183*x + 1178*x - 6*s - 5 = 0, -x - s - 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 702 and 378.\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30, -5, 0.3, 1.2?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23460152*b**4 - 27067387.\nAnswer: 93840608*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 157303518 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 7:39 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 397 - 227. Let f = -26 + q. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1039 is divided by 119.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3\/4))**(-23) assuming u is positive.\nAnswer: u**(-161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 70527 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.027\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4713?\nAnswer: 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i - 17282 + 17282. Let s(u) = -24*u**2. What is s(d(k))?\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*s - 33, 3*z = 8*z - 5*s - 45. Let m be (-54)\/z*8\/(-4). Suppose -30 + m = y. Put 3, 4, -1, y in ascending order.\nAnswer: y, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3625270 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2734216 - -1713900. Let c = b - -1020316.02099855. Let n = c - 0.021. What is n rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0, 1212, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55, -29, -3, 23, 49, 75?\n\"Answer: 26*x - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (299*j**2 - 112*j**2 - 125*j**2)*(-441 + 41*j + 441).\nAnswer: 2542*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -5*f + 15, -650*f = -4*h - 652*f - 60 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 divided by -3?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1423, 1296, 1169, 1042?\n\"Answer: -127*l + 1550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/65 and -41\/338.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*m**3 + 14260*m**2 + 122255*m + 3250 = 0 for m.\nAnswer: -25, -13, -2\/75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 4:00 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -33*c + 2430. Let x be ((-16)\/12 - -1)\/((-6)\/c). Solve 3*h - x = -3*t, 3*h + 5*t + 3 = 6*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2382 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 3472, 0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4*u + 24, 14 = -3*u + 11 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 7:25 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 399\/2 - 191. Find the common denominator of o and ((-166)\/11)\/(0 + (1 - -3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*h**3*q - h**3 + 15*h**2*q - 2*h*q - 52*q + 153695 wrt q?\nAnswer: 8*h**3 + 15*h**2 - 2*h - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (10\/25)\/(((-252)\/(-18))\/70)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*w = 16726. Let b = -184021\/22 - w. Let c = 186\/5 + -379\/10. Find the common denominator of b and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/7))**(-1\/2) assuming w is positive.\nAnswer: w**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05614286 and 1.\nAnswer: 0.05614286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m - 3. Let f be (-50)\/6 + 2\/6. Let t be (-2 + f)*(-2)\/4. Let a(d) = d + 4*d - t + 0 + 1. Determine 2*a(c) - 3*h(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**2 - 4*x + 2. Suppose 5*v = 0, 0 = 3*n - v - 6 - 0. What is the lowest common multiple of t(n) and (-1)\/(-5) + (-138)\/(-10)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43083937 is divided by 2272.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**2 - 28*z - 4. Calculate l(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r = 39*r - 276 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 527 + -531. What is the closest to 2 in 3\/4, 0, s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29486 and -37?\nAnswer: 1090982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0*m + 0*m**4 + 7*m**2 + 0 + 0*m**3 - 1\/60*m**5. Let v(b) = 9*b + 2*b + 2*b. What is u(v(n))?\nAnswer: -169*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {i: 4, n: 2, k: 1, o: 2, p: 3, r: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7406625 is divided by 560?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 122.67234us?\nAnswer: 0.00000003407565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-28)\/(-8) - 4)*-26. Is 12 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-8)\/(-6))*66. Let g(h) = -5*h**2 + h - 5. Let m(q) = -36*q**2 + 6*q - 36. Let l(v) = z*g(v) - 6*m(v). Factor l(s).\nAnswer: -4*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41952362?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178 + -142. Let u = -6.2 + -26.7. Let m = u + a. What is m rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - 71. Let i = t + 130. Let d be (-150)\/4*(-21)\/(441\/70). Calculate the highest common factor of d and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 + -6 - -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5. Let d = -1\/2 - n. Let h = 1 - 0.6. What is the nearest to d in -1, 2, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2\/2 - 7701*k\/2 + 81522 = 0.\nAnswer: -2588, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.8889 + -4.86. Let o = h + 0.1155. Let d = -0.15 + o. Round d to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*c + 2*a + 14, 3*c = -3*a + 18. Suppose 4*i - 8 = m + 3, 3*i = -c*m - 6. Suppose -7 = -i*n + 13. Calculate the least common multiple of 9 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 11*w + 39. Calculate x(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -219 + 391. Sort 5, 1, -4, x.\nAnswer: -4, 1, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 338505635 - 5.\nAnswer: 338505630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.2, 0.09, 1, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -33*d**2 + 1084*d - 87. Determine v(32).\nAnswer: 809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 11*l + 81. Suppose 243 = 3*s - t, s - 85 = -3*t + 2*t. What is the remainder when s is divided by h(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 12219885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1035 + 11.\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1365*g**2*o**3 + 2*g**2*o**2 + 161*g*o wrt o.\nAnswer: -8190*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 110334 + 89114. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.6 - 3.7. Let i = b - -1. Sort i, -1\/4, -1\/6 in descending order.\nAnswer: i, -1\/6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 - 16*f**2\/5 - 59*f\/5 + 714\/5.\nAnswer: (f - 17)*(f - 6)*(f + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w = 20. Solve -5*g = 5*q + 40, -5*g = -0*g - w*q + 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 486\/(-891)*(-2)\/6 + (-60)\/(-33).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 3. Let s(u) = 6*u**2 - 2*u**2 + 1 - 3*u**2 + 4. Determine -10*q(t) + 6*s(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 22 and 743.\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**4\/4 - 2*l**3\/3 + 19*l**2. Suppose 2*h + 10 = -0*h. Is v(h) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35.5 - -36. What is the nearest to 1\/2 in -3, a, -4\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2279 divide 193202503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*o**4 + 2*o**4 - 47*o**4 + (o**2 + 3*o**2 + 9*o**2)*(o**2 - 2*o - 5 + 5) as i*o**2 + u + r*o**4 + t*o**3 + d*o and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**6\/30 + 3*q**5\/10 + 13*q**3\/6 + 1533*q**2\/2 + 3638*q. Differentiate u(n) wrt n.\nAnswer: 4*n**3 + 18*n**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396774.\nAnswer: 2, 3, 7, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - (sqrt(2057) + -3))*4*5)**2 - (sqrt(153) + -4 + sqrt(85)\/sqrt(5)*6).\nAnswer: -9*sqrt(17) + 3604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p**44*p)\/p)\/p)\/((p\/p**20*p)\/p))\/((p\/(p*p*p\/p**(-1\/23)))\/(p**28\/p)))**(-36) assuming p is positive.\nAnswer: p**(-75384\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 1367*x**5\/2 - 5759*x**4\/12 - 8045*x. Find the third derivative of o(q) wrt q.\nAnswer: 82020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-14) - 12\/84. Suppose o = 7*x - 21 + 7. Let v be (-2 + 4)*(18\/4 + x). Calculate the highest common divisor of v and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -19785 to the nearest one hundred.\nAnswer: -19800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, e: 4, b: 3}. What is prob of picking 1 p and 1 b?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - 4.5. Let u = w - -2. Which is bigger: u or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/815452 and 75\/64?\nAnswer: 13047232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26945 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 2. Let b be s(3). Suppose -3*o - b = -2*k - 6*o, -k + 2*o = 4. Solve 8 = -k*j - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 401994419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 7. Let n = 9 + -3. Let q = -7 + n. Sort -3, q, w in decreasing order.\nAnswer: q, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -13*p + 113 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 423*l. Let s(p) = 5*p. Calculate a(s(c)).\nAnswer: 2115*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3475.01587 rounded to 1 decimal place?\nAnswer: -3475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -4 (c) 5 (d) -2\/13 (e) 149\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10368 and 15552.\nAnswer: 31104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1124727\/253456 + 1\/15841. Calculate the common denominator of c and 55\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35210?\nAnswer: 2, 5, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1231516 to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 105\/4 (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -32*m**2 - 7*m - 7. Let c(j) = 11*j**2 + 2*j + 2. Calculate -7*c(p) - 2*o(p).\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 117951088*o**2 - 869528697523984*o.\nAnswer: -4*o*(o - 14743886)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.49864 + 9.5. What is j rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5728, 11459, 17188, 22915, 28640?\nAnswer: 34363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3\/5 (b) -1.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 21842*o**2 - 677103*o + 13. Give x(31).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1065 + 1065 + 7*g + 8*g.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-3 + -4 + (sqrt(133)\/(sqrt(7)*5))**2 + 5.\nAnswer: -3*sqrt(19) + 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (42\/(-7))\/(-1 + -2). Suppose 0 = -2*h + 10, q*i + 2*i - h - 94047 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84930.\nAnswer: 2, 3, 5, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 35675543 divided by 3\nAnswer: 35675543\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3974243618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.129 + -3.129. What is the smallest value in 2, -17\/2, 9, a?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 - 750 = -102*p - 28 - 141 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 604 at most 604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4\/2 + 3*p**3\/2 - 9*p**2\/2 - 3*p\/2 + 3.\nAnswer: 3*(p - 1)**2*(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + 0.01007. Round t to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -218504 from -3.\nAnswer: 218501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -631?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4451 (base 7) to base 6.\nAnswer: -11232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5404*a + 160266 = -12662 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1760*u + 1748*u - 4*u**3 - 3)*(1 - 1 - u**2).\nAnswer: 4*u**5 + 12*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -34*r. Let u(c) = c**2 - c - 1. Let y(q) = q**2 + q + 1. Let k(l) = u(l) + y(l). Determine k(o(g)).\nAnswer: 2312*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2876*y. Let f(b) = -3*b**2 - 14. What is m(f(s))?\nAnswer: 8628*s**2 + 40264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(208)*-1 - sqrt(208))\/sqrt(4))\/(-2*sqrt(256)*1).\nAnswer: -sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 489*f**2 + 5 - 394*f**2 - 13.\nAnswer: 95*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**5 - 5*b**4 + 65*b**3 + 125*b**2 + 60*b = 0.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-25))\/(4\/20). Solve -9*a = -44 - l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/120 - 13*h**5\/60 - 13*h**4\/24 - 4*h**3\/3 - 5*h**2. Let f be z(14). Let b be 3\/85 - f\/(-30). Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473608016 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 b(m) = -m**2 - 14*m - 7. Is b(-7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1026967561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -29045 - -0.4\nAnswer: -29044.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 4\/5, -1\/2, -0.8, -614\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*q = 31 - 199. Let v(z) be the second derivative of 1\/60*z**q - 8*z + 0 - 1\/5*z**2 - 1\/30*z**3. Factor v(t).\nAnswer: (t - 2)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3035 divided by -34?\nAnswer: -3035\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1019\/3 or 339?\nAnswer: 1019\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 23033?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0*z**2 + 2*z**3 + 0 + 3\/10*z**6 - 20*z - 33\/20*z**5 + 2*z**4. Find w, given that c(w) = 0.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 6. Let s be w - (-2)\/(4\/2). Suppose -3*o = -s - 17. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -849d6 (base 14) to base 11.\nAnswer: -1a9682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 26f7cb?\nAnswer: -26f7c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3385779321488438 - 3385778718192737.9999946. Let v = 603295651 - b. Let a = -49 - v. Round a to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*v - 2176 = 0, s - v + 5418 = -4*s. Let q = 2825 + s. Suppose -5*h - q = 2459. What is h rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/21)*j\/(j\/(j*j\/(j\/(j*j*j**(4\/9))))))\/((j**5*j)\/((j\/(j*j*j**2*j))\/j)))\/((j**(-2)\/j)**(11\/5))**41 assuming j is positive.\nAnswer: j**(82829\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 7*k**2 - 10*k - 1. Let r be g(-6). Let a be (-1)\/(6\/4 - 1). Let w be (38\/(-3))\/(a\/3). What is the greatest common divisor of r and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15235461599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -15525*r - 2670346. Calculate s(-172).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + -0.06. Let a = -0.41 - h. Suppose 5*f + 4*s = -10, 4 = -3*f + 2*s - 2. What is the third biggest value in a, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 10 + 4*w - 3*w - 4*w. Let a be k(-5). Suppose -s + a + 20 = 0. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b - 4*b - 11*b**2 + 14*b**2.\nAnswer: 3*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.15, -3, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 1 - 1 + ((0*x - 3*x + 2*x)*(1 - 2 - 1) - 3*x + 3*x + 2*x + 0 - 3*x + 0 + 0*x - 5*x + 3*x + (0 + 1 + 0)*(x - 4 + 4) + 1 - 1 + x)*(-1 - 2*x + 1).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.501 minus -34688?\nAnswer: 34687.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(2\/(-4) - 0). Suppose 5*f = -2*u - 25, 4*f + 11 = 2*u - 9. Suppose -4*z + d*z + 232 = u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -7. Let j = -250\/183 - -2\/61. Let l = -2.5 - -0.5. Sort a, l, j.\nAnswer: a, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, v: 13, d: 2}. Give prob of sequence add.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 8. Let x = -335 - -327.16. Let i = x - -3.84. Which is the second smallest value? (a) 7 (b) -2\/3 (c) k (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2398271?\nAnswer: 29, 82699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158 + 3*s**3 - 158.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**3 + 4*z + 2. Suppose 0 - 12 = -4*u. Let m(s) = 9*s - 6*s**3 + 2 + 2 + 21*s**u. Calculate 13*j(l) - 6*m(l).\nAnswer: l**3 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjvjvppppoj. Give prob of picking 1 j and 3 p.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.188 and -9564?\nAnswer: 9564.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/6516 and -77\/36.\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/(-12))\/(-1))\/(57\/(-38)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 38.7. Let b = 3 + w. Let m = b - 0.6999976. What is m rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 1, i: 2}. What is prob of sequence ii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grrgqrggqggrgqqrrr. Give prob of sequence rgqq.\nAnswer: 49\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-6)\/4)*72\/2. Let q be 2*(-6)\/(o\/213). List the prime factors of (q\/3)\/(2\/(-6)).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034450219 less than 235?\nAnswer: 234.965549781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 13. Let b be r(6). Let v = 3 + b. What is the remainder when 39 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (3*sqrt(75) + sqrt(75) + 1)**2.\nAnswer: 40*sqrt(3) + 1202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09387519 to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 21 = 5*s, 5*t - 2 = 2*s - 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + (-20 - -5 - (-106 + 74)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)\/(((v\/((v\/v**(-1\/4))\/v))\/v)\/v*v))**(-29)\/(v**(-1)\/(v\/(v**(-2\/11)\/v)))**10 assuming v is positive.\nAnswer: v**(4519\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48204, 48201, 48188, 48159, 48108, 48029, 47916, 47763?\nAnswer: 47564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -366 in -39, -4\/17, -2\/11, 3?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -11. Let l be (0 + -1)\/(2\/(-4)). Let q(r) = -r - 4 + u + r**l + 0*r. Give q(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**3\/2 + 2187*t**2\/2 - 3261*t - 4356 = 0.\nAnswer: -1, 4, 726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 5538624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -302 + 432. Let l = -126 + p. What is the closest to 2 in 0.4, -8, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c. Suppose -4*l = g - l + 11, 4*g - 5*l - 24 = c. Let h be 16\/9 - (g + 1). Sort -0.3, h, 5 in descending order.\nAnswer: 5, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/152348815 or -1?\nAnswer: -3\/152348815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 1. Suppose 7 = 2*q + 1. Suppose -q*b = -c, 4*f + 5*b - 1 = 13. 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 hundreds digit of 3654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 7 - 7)*(-3*o + 0*o - 5*o) + (-7 + 7 + 2*o)*(-2 + 1 - 1) to the form b + k*o and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 2, 1\/7, -167, -73?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57882\/12278 + 855\/(-168)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**(4\/13)*h*h)\/h)**(-13) assuming h is positive.\nAnswer: h**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 - 26*c + 7. Calculate y(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -333112 + 5?\nAnswer: -333103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -741350, -2965471, -6672340, -11861957, -18534322, -26689435, -36327296?\n\"Answer: -741374*r**2 + r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3\/4 - 3*d**2\/4 + 3*d + 3 = 0. Calculate d.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 9*t**2 - 12. Let l be b(9). Let a = l - -14. Let n(p) = -p**2 + 3*p - 2. Let d be n(a). Solve -o + d*o = 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*o - 3567. Let m = o - 5968\/5. Find the common denominator of 17\/7 and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -107.565341372 from -274.\nAnswer: -166.434658628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229.043 + 229. Which is the fourth biggest value? (a) -1 (b) 4 (c) f (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.3, 0.02, 5, 19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -68 + (25 - (5 + 0 - 12))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnn when three letters picked without replacement from {n: 9, m: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(432) + sqrt(432) - sqrt(12)\/(sqrt(4)*-2)) + (sqrt(24)*1*-6)\/sqrt(8).\nAnswer: -1 + 37*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*p*u**2 + f*p - 18*f - 275*p**2*u - 3*p**2 wrt u.\nAnswer: 4*f*p*u - 275*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w**2 - 5*w - 5. Let d(i) = 4*i**2 + 2*i + 3. Let g(n) = -5*d(n) - 3*t(n). Let y be g(-4). Let o = -2 - y. Solve 0*s + o*s - 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 489, -4, 0 in descending order.\nAnswer: 489, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30718439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*k + 494 = 94, -5*k - 605 = -3*x. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4871.3045009 - -7014.30451491. Let m = 2143 - r. Round m to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 = 40. Let k be -4 + q\/((-21)\/54). What is the units digit of (-46)\/(-161) - (-1102)\/k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.046, -5\/21, -5, 5, -278, -3 in descending order.\nAnswer: 5, -0.046, -5\/21, -3, -5, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8484313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - 122. Let m be (-3 - p\/10) + -2. Which is the third biggest value? (a) -35 (b) -1\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.430463ml in litres?\nAnswer: 0.009430463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -459 + -167093. Let d = -97802 - g. Let o be (64\/(-6))\/(12\/d). Round o to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*y - 92*y + 12436 = -4*f, -2*y + 3*f + 12439 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51540 and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 1093*g - 43139. What is t(41)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 62109675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*j - 175, 75 = 5*s - j - 430. Suppose 2*a + 0*h + h + s = 0, 4*h = 0. Suppose 197*w - 190*w + 357 = 0. Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117473 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3602, 14568, 32864, 58496, 91470, 131792, 179468, 234504?\nAnswer: 296906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -309, -535, -761, -987?\nAnswer: -1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b*b**(-2\/3))\/b))\/(b**(-1\/3)*b*b*b))\/((b\/b**(-6))\/((b*b**7\/b)\/b)))**(2\/7) assuming b is positive.\nAnswer: b**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 989 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28165 divided by -215?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d - -132?\nAnswer: f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = v - 5*y - 88, -y + 5 = 0. Let x be -4 - -2*v\/8. Suppose -5*o - x = -4. What is the second biggest value in 3, o, 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzdddz. What is prob of sequence zz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7953358?\nAnswer: 2, 7, 568097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0*l**2 + l**2 + 12 + 10. Suppose -3*x = 2*x. Is t(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6048736764.12323 - 4.\nAnswer: -6048736768.12323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -110, -442, -1004, -1802, -2842, -4130, -5672, -7474?\n\"Answer: -v**3 - 109*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Let v(p) = -p**2 + 2*p. Let x be v(3). Put k, x, -5 in ascending order.\nAnswer: -5, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.957095 - 0.042905. Let d be 2\/7 - 283\/(-14). What is the closest to 2 in d, c, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - -35 - (2 - -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**3 + 13*b**2 - 16*b - 30. Give f(-6).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-12))\/(3\/9))\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8. Let t = -235 + 239. Suppose x = 3*q - t*m - 9, 6 = -0*q + 2*q + 4*m. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -168067 + 635179. Let j = -3 + 6. Suppose -j*x = -m - 57296. Round x to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(495)\/(sqrt(81)\/(-2*sqrt(9))))\/(sqrt(132)\/(sqrt(9)\/sqrt(3))))**2*6.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7968724?\nAnswer: 2, 1992181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-39)\/26)\/(75\/(-12))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**6\/120 - g**3\/6 - 3*g**2. Let z be s(1). Let h be (5\/(-2))\/((-5)\/10). Sort h, -4, z in descending order.\nAnswer: h, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a + 8. Let s(t) = 12*t + 11 - 19*t + 4. Determine 11*f(m) - 6*s(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10773 and 21147?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34448.\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -608260 to the nearest one thousand.\nAnswer: -608000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4281146609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 0 + -9 + 2 - (-1 + (-31 - -23))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 31210331?\nAnswer: 31210330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**2 - 61*x + 19. Let p be c(-15). Is p != 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12577*w**3 - 12305*w**2 wrt w.\nAnswer: 75462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Let d(y) = -y**2 - y + 5. What is the lowest common multiple of d(0) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13449 or -13450?\nAnswer: -13449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npd when three letters picked without replacement from npdnddbpdpdddddddc.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398 - 397 - 23*g**2 - 19*g**2.\nAnswer: -42*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 109 + (89 - 180) + -78\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -13*v**8\/336 - 13*v**4\/12 - 8*v**2. What is the second derivative of n(p) wrt p?\nAnswer: -260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540830.\nAnswer: 2, 5, 54083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -3*f**5\/10 - f**4\/3 - 2*f**3\/3 + f**2 + 12*f - 4. Let y(v) be the first derivative of s(v). Is y(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 13*k**2 - 42*k + 94. List the prime factors of s(15).\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - l. Let p(n) = 5*n**2 - 6*n - 2. Let y(u) = -p(u) + 3*q(u). Determine y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 11, 3, 2 in ascending order.\nAnswer: 2, 3, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 780*r + 5491. Calculate k(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*a - 68*a - 45. Suppose -a*i - 718 = -28600. Round i to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c**3 + 77*c**3 + 0*c**3 + 2*c - 3*c.\nAnswer: 49*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 847975 (base 11) to base 10.\nAnswer: 1357460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-6))\/q)\/(q**(-5)\/q*q))\/(q**(1\/4))**(-46) assuming q is positive.\nAnswer: q**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1632256?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1617 and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(156)*2*2)\/(((sqrt(60) + sqrt(240)\/sqrt(4))*6)\/sqrt(5)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poeo when four letters picked without replacement from {p: 1, o: 2, l: 5, e: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000147680911 rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -515 + 377. Is -254*t\/(-24)*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/17)*u*u**2)\/(u**(-2\/33)*u**(2\/21)))**(-1\/61))**(-4\/9) assuming u is positive.\nAnswer: u**(48428\/2155923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**5\/120 + 3*j**4\/16 - 7*j**3\/6 + 1352*j**2. Let b(s) = 0. What is s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -1, -0.182, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-70)\/(-21))\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5038 in 5, 1, -6272?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-3))\/(34\/153). Let m(b) = -b**3 - 3*b**2 + 6*b + 10. List the prime factors of m(q).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603693873.\nAnswer: 3, 1601, 41897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1557\/2 - -814. What is the common denominator of 19\/4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142336 (base 8) to base 10.\nAnswer: 50398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53842036 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*t - 8*t - 27. Suppose 0 = -4*x + t*x - 10. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138650, -277247, -415844?\nAnswer: -554441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w + 88*w - 48*w - 5*w**2 + 68*w**2 - 14*w.\nAnswer: 63*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 139, 554, 1243, 2200, 3419, 4894?\n\"Answer: -z**3 + 143*z**2 - 7*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 853 + 925 + 3*t**2 - 2733 + 955.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 2*h**3 + 3*h**2)*(-170 + 170 + 24*h) + (-7*h**3 - 3*h**3 + 3*h**3)*(0*h - 5*h + h).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -55. Is w at least as big as 28\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t**2 + 1425*t\/2 + 63\/2 = 0. Calculate t.\nAnswer: -3\/68, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143412 + -24?\nAnswer: -143441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 9 = 3*w, -4*w + 5 + 0 = -5*v. Suppose 4*q - 182 = -w*x + 822, 0 = -4*q - 3*x + 996. Let t = 368 - q. What are the prime factors of t?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and -80\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 1162315?\nAnswer: 5811575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.46999984 + -1.47. Round g to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 28396 and 29718 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 10 - 12\/(5 - -19 - 12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -306304232, -306304234, -306304236, -306304238, -306304240, -306304242?\n\"Answer: -2*z - 306304230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1896279 and 5322?\nAnswer: 3363998946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 325 * -4.37.\nAnswer: -1420.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - 234404?\nAnswer: -234350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1496*c**2*p - c*p + p - 623 wrt c.\nAnswer: 2992*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/228)\/((-25)\/29700*-33).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10205706 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 3, 4, -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2548.7 + 2548.3. What is the nearest to 1 in 3, 4\/5, f, -1.499?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a47b + 770?\nAnswer: -990b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/20)\/(2\/10). Let m = 0.051 - -1.949. Let u = -5 + m. What is the third smallest value in u, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141 - -155 - (11 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {s: 3, c: 1, v: 3, n: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 7. Suppose 5*y + 3*x - 113 + l = 0, 4*x - 54 = -3*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14853.0977 to zero dps.\nAnswer: 14853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eenueeeeeexeeueuu. Give prob of picking 2 e.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + p = -10900 + 643, 0 = -4*s + 2*p + 13674. Is s a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2029?\nAnswer: 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 104, 164, 180, 128, -16, -276, -676, -1240?\n\"Answer: -4*s**3 + 2*s**2 + 82*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0095 and 9?\nAnswer: 9.0095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/9 + -19\/45. What is the second smallest value in 1\/2, -2\/3, 1\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2967256208 - 3.8.\nAnswer: 2967256204.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116\/33 - 8171\/1320. Calculate the common denominator of u and -6\/11.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 228\/16*(-5)\/((-40)\/(-32)). Which is the nearest to -1? (a) -3\/8 (b) q (c) 5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3528023.299 from -0.02.\nAnswer: 3528023.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 7927764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2)*(-32)\/24. Solve -2 = -z*r + 2*t, 0 = r + 4*t + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**4\/6 - 13*q**3\/2 - 105*q**2\/2 - 49*q\/6 + 686 = 0.\nAnswer: -28, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(400) - (sqrt(400) - (sqrt(400)*2*1 + sqrt(400))))\/sqrt(8))\/(sqrt(250) + (sqrt(250)*4 + sqrt(250) - sqrt(250)) - -1*sqrt(640)))**2.\nAnswer: 125\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 6*s**2 + 9*s + 17. Let k be a(-7). What is the common denominator of 73\/12 and 145\/30 + (-1 - 1) + k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20507363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 13. Find the common denominator of (-4)\/(-8)*118\/b and -3 + 1*202\/36.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 4*u**2 + 3*u - 10. Suppose -70*b = -75*b - 30. Calculate the remainder when 174 is divided by t(b).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 + 5*u**2 - 9*u - 8. Let f be d(-5). Let j be f\/(-6) - (-4)\/12. What is the second derivative of 12*w**5 - 27*w + j*w**5 - 8*w**5 + 11*w wrt w?\nAnswer: 380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*j + j - 4 = 0, -5*c - j = 4. Let u = 0 - c. Suppose 5*v - 3 = -8, 3*m - v - 25 = 0. Solve 3*h + 7*o - 3*o - 23 = u, 3*h = -o + m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(42)\/(sqrt(6) + sqrt(24)\/sqrt(4)) + (sqrt(112) + 0)**2 + sqrt(7) + sqrt(84)\/sqrt(108).\nAnswer: 11*sqrt(7)\/6 + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 8*y**5 - 2 + 13*y**5 - 3 + 3 - 2*y**5 + (0*y - 3*y + 10*y)*(-12*y**4 - 20*y**4 + y**4).\nAnswer: -214*y**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 16*t**2 - 30*t - 39. What is p(-18)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.68351 * -2.\nAnswer: 13.36702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/((-70)\/15) - -2. Which is the fourth biggest value? (a) 5 (b) 0 (c) j (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 131884 (b) 0.01 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 34. Determine r(-24).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-2) + 4\/(-8). Solve 5 = b*a + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2. Let c(z) = z**2 + 13*z - 32. Let n be c(-14). Let a be 3*-1*6\/n. Let m(t) = 6*t**2 + 6*t - 2. Calculate a*m(r) - 8*v(r).\nAnswer: -2*r**2 + 6*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 8. Let d(c) = c - 7. Let u(o) = 3*d(o) + 2*m(o). Let j be u(-7). Suppose -j*q + 6 + 4 = 0. Put 1, 4, q in ascending order.\nAnswer: 1, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 437 = 3*w - 462, -5*c + 11 = -4*w. Solve 2*r = 6, w*u + 4 = 7*u + 2*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-9)\/536) + (-5)\/(-15). Suppose 66 = 2*x + l - 5, -5*x + s = l. Suppose -2*y - 3*y = -60. What is the highest common factor of y and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 250 + y + 1059052*y**2 - 1059052*y**2)*(y - 2*y + 0*y).\nAnswer: -3*y**4 - y**2 + 250*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)*o**0)\/((o*o**2\/o)\/(o**(7\/4)*o)))**(-18) assuming o is positive.\nAnswer: o**(153\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*y**2 + 1 + 16*y**2 - 25*y + 21*y.\nAnswer: (y - 1)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -98610 divided by 1?\nAnswer: -98610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38, 209, 552, 1115, 1946?\n\"Answer: 8*l**3 + 38*l**2 + l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440151, 440157, 440181, 440235, 440331, 440481, 440697?\nAnswer: 440991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(11) - (-4 + sqrt(396))**2) + ((sqrt(99) - -1*sqrt(99))*-2)\/(sqrt(1296) + sqrt(1296)*2).\nAnswer: -410 + 440*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/25 in 0.4, 1\/10, -0.2, -3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/3, -6\/161, 0, 3\/2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((1 - 6)\/(-25))\/((-2)\/10). Let s(h) = -36*h - 1. Give s(w).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 7*l**2 - 2*l + 4. Let a be o(7). What is the least common multiple of 8 and 2 - -4*a\/(-2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t**2 - 37*t + 20*t**2 + 140*t + 96*t - 38*t**2.\nAnswer: -t**2 + 199*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:46 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*i, 4*i - 4 = 3*g + 2. Suppose 1 = -5*x + 31. Suppose x = g*f - 0*f. Calculate the smallest common multiple of f and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*k**6 + 24*k**6 - 18*k**4 + 16*k**4 - 14*k**6 - 1054*k**2 wrt k?\nAnswer: -600*k**3 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 4*p + 5. Let h be s(-4). Suppose -h*k + 9 = -8*k. Let f(i) = 2*i**2 + 3*i + 3. What is the tens digit of f(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -450532410 (base 6) to base 13.\nAnswer: -18c9ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6254169\/580)\/((-6)\/(-5) + 0). Let x = p - 8998. Calculate the common denominator of x and -22\/13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 522*n - 519.\nAnswer: -3*(n + 1)*(n + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3522889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 3*z**3 + 0*z**3 + (2*z - 3*z - z)*(0*z**2 - 3*z**2 + 5*z**2) + 3 + z**3 - 3 + (7*z**2 - 7*z**2 + 5*z**3)*(-2 - 6 + 1).\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/8)\/((-39)\/12 + 3). Let i(l) = 4 + 2 - 2 - 7 - 6*l. Let y be i(a). Solve 1 + y = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10963781?\nAnswer: 157, 69833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-33)\/11)\/(1*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 440439 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002354 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i + 20. Suppose 3*h = 3*g - 6, 0 = -5*h - 0*h. Let l(q) = 2*q - 2. What is the lowest common multiple of l(g) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 - 3*z**4 + 2*z**4 + (6*z - 2*z**3 - 6*z)*(2*z - z - 3*z).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14, 30, 156, 406, 822?\n\"Answer: 7*b**3 - b**2 - 2*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 12*u - 11*u - 91*u**2 + 92*u**2 - 12. Let j(p) = p**2 - 3. Let c(x) = -4*j(x) + s(x). Calculate c(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106\/79 + -47327\/711. Let o = -65 - j. Which is the closest to 1? (a) o (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*x - 115*x = 419*x - 29650 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -32*w + 26*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -602 + 617. What is the smallest common multiple of 6\/21 + (-748)\/(-28) and i?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:25 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 r when four letters picked without replacement from ngiirrrr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + (-120)\/12)\/((-1530)\/3510 + 4\/6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 90486.36 kilograms?\nAnswer: 90.48636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00707068 rounded to 4 decimal places?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13918437, -27836889, -41755341, -55673793, -69592245?\n\"Answer: -13918452*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -325.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 3*m**2 - 13*m**4 - 94*m - m**2 + 93*m + 45*m**4 + 1 in the form s*m**4 + y + n*m + a*m**3 + f*m**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let z(o) be the second derivative of o**4\/12 + 3*o. Let h(j) = j**2. Let t(x) = -5*h(x) + 3*z(x). Determine b(t(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*v - 18, 5*v - 6 = 2*v. Suppose h*n + 12 = 5*c - 3, -3*c = -4*n - 11. What is the hundreds digit of -3 - (n + 1)*165\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 181, 5, 0 in increasing order.\nAnswer: 0, 5, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*6\/24*4\/(-3). What is the second derivative of 9*c + 33*c**2 - 4 + 4 - 17*c**p wrt c?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 - 11*o**2 + 61*o - 61*o + 8*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*j - 3*l, 3*j - l - 2 + 5 = 0. Suppose 3*g - g = 3*w + 78, -3*g - 9 = j. What is the units digit of (-4)\/(-18) - w\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) + 3)**2 - (sqrt(128) + 4 - sqrt(2)).\nAnswer: -48 - 31*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3658.182175 to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -14. Let t(w) = -2*w + 4*w**2 + 0 - 3*w**2 + 0*w**u + 3. Give t(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 24122?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 4*q + 6. Let m be n(-4). Let y be m\/8*(-6 + -2). Let u = 71 - y. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 49863.82um?\nAnswer: 0.00004986382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 5*w**2 - 3*w + 7. Let y(d) = -2*d**2 - 26*d + 23. Let f be y(-14). Determine h(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 + a**2 + 62*a**4 - a**3 - 72*a - 12*a**4 + 0*a**3 - 46*a**4 to the form j*a + h*a**2 + r + v*a**3 + p*a**4 and give j.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - l + l)*(8 + 2 - 2) + ((3*l + l - 2*l)*(-l + 3*l - 3*l) - 7*l**2 - 49*l**2 - 126*l**2)*(-1 + 1 - 2).\nAnswer: 376*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613489 is divided by 87407?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**2 + 4*v**2 - 9*v**2 + (7*v + 5*v - 6*v)*(2*v + 0*v - v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 4*m + 2. Let b be q(-4). Let v be 0*b*(-2)\/(-8). Let y = v + 0. What is the closest to y in 4, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvp when three letters picked without replacement from {p: 5, t: 3, v: 5}.\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - (-51)\/(-6))\/(1\/(-158)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 26*s - 18. Suppose 4*l + 5*q - 23 = 0, 5*l - 2*l - 2*q - 46 = 0. Let a(o) = -o**3 + 13*o**2 - 13*o. Let p be a(l). Is 21 a factor of y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 53, -0.4, 0.2, -80, 5?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 273274\/5 and 54654 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 15*s**2 + 12*s + 3. Let h(p) = p**3 + 17*p**2 - 13*p - 3. Let l(u) = 7*a(u) + 6*h(u). Let c be 6 - (4 + 21\/3). Determine l(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by -10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2 + 29*j - 11. Let t be i(5). Solve -4*d - d + t = 3*o, 15 = 5*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/11 + 39520*o**2\/11 + 59318144*o\/11 + 21478203392\/11.\nAnswer: -2*(o - 21184)*(o + 712)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 3*t + 1. Let k be c(4). Suppose 0 = 4*z - k*h - 2, 2*z - 1 = z + h. What is the second smallest value in z, 2\/5, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3\/4 (b) 4 (c) 0.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4071636 by 5.\nAnswer: -4071636\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 15*v**4 + 10670*v**3 + 1451915*v**2 - 5446320*v + 2982420 = 0.\nAnswer: -526, -189, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*((-324)\/2)\/(((-464)\/29)\/8)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmemed. Give prob of picking 3 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -233?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000451556676 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 75 = 5*x, -5*n + 2 + 57 = -x. Let m(z) = 15*z + 11 - 14*z - n. Let h(j) = -j**2 + 5*j. Let s be 5\/(-7) - 6\/21. Determine s*h(o) + 5*m(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26561 is divided by 79.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2 + 654*u - 3295 = 0. What is u?\nAnswer: -659, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/12 (b) -0.5 (c) -2\/21 (d) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 31 = -4. Let x be (z\/1 + 2)*-5. Is (x\/28)\/((-2)\/(-24)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4583 + -4588. Put -25, -0.3, y, -1\/6 in descending order.\nAnswer: -1\/6, -0.3, y, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36\/37, 0.11, 1, 0.5 in descending order.\nAnswer: 1, 36\/37, 0.5, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 3*l + 4*h + 9, -12 = -3*h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 88 - s - 88 + 6*s. Calculate u(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102226 less than 0.0132?\nAnswer: -102225.9868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)*g)**(-1)\/((g**(-1\/18)*g*g)\/g)**(3\/8) assuming g is positive.\nAnswer: g**(-421\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 20*b - 36*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-12))\/((-5)\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10013 - 20103?\nAnswer: -30121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - x + 4 = 0, 5*x - 11 = 3*g + 9. Let l(a) = a**3 - 90 - a + 4*a**2 - 5*a**2 + 653 + 432. Is l(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 3, 0.02, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4754892 or -4754899?\nAnswer: -4754899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2581\/267 + -1*10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 65 = -10. Let t(k) = 5*k**3 - k**2 - k + 1. Let i be t(1). Suppose m - j = -i*m. Calculate the remainder when 4 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 13.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3\/47, 0.9, -5, -21 in descending order.\nAnswer: 0.9, 0.5, 3\/47, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 6*q**2 - 21. Let m be d(5). What is the second derivative of -65*a**m - 62*a**4 + 4*a + 2*a + 7 - 13 wrt a?\nAnswer: -1524*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 52. Let i be r + (1 + -1 - -3). What is the greatest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -2.4. Which is the nearest to -0.1? (a) -1\/2 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 2057*k**3 - 1712*k**3 + 3003*k**3.\nAnswer: 3348*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/171 and 29\/563097?\nAnswer: 32096529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1364903?\nAnswer: 3\/1364903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1341*v**3 - 686*v**2 + 686*v**2.\nAnswer: -1341*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.43*-6.\nAnswer: -104.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 215115446 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 236 + -133. Let p = t - 8. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*a + 10, 4*t - 10524 = 4*a. What is the tens digit of 0 + 4*t\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let d be (-7)\/(-14) - 10\/(-4). Let u(q) = 0*q**2 - 3*q**2 + d*q**2 + 4*q**2. Give u(b(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**5 - j**4 - 5459*j**3 - 19879*j.\nAnswer: -40*j**3 - 12*j**2 - 32754*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-3\/2)*m*m**(1\/8))**(2\/53))**(-4\/35))**46 assuming m is positive.\nAnswer: m**(138\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*g**3 + 21073*g - 10582495.\nAnswer: 177*g**2 + 21073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = t - 16. Find the second derivative of 488*y**2 - 244*y**2 - 244*y**t - 33 + 27*y**4 - y wrt y.\nAnswer: 324*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*(-3 + (-52)\/(-48)) and (-17)\/(-22)*12\/2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (194\/(-32592)*56)\/(2\/117*(-3)\/(-8)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*k + 98 = 64 - 92. Sort 10, 5, 1, k, 47 in decreasing order.\nAnswer: 47, 10, 5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 divided by -34\nAnswer: -135\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - 4526\/(-124))\/(2\/(-8))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 17*q**3 + 20*q**3 - 5*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-3)\/18*5\/(130\/8).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4\/(k\/((k*k**(-2\/17))\/k)*k)*(k*k*k**(1\/4)*k)\/k**0 assuming k is positive.\nAnswer: k**(349\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9792)\/240)\/(-5 - 44\/(-10))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**5\/20 + 48*i**2 - 16*i. Let g(o) be the first derivative of z(o). Let n(j) = -j**2 - j**2 - 3*j**2. Give g(n(d)).\nAnswer: -75*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23699869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01090912229 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzzzrzhrgzr. Give prob of picking 1 r, 1 g, and 1 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7272524087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.45 times -24?\nAnswer: -202.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q + 246*q**2 - 76*q**2 + 254*q**2 - 3*q.\nAnswer: 424*q**2 - 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzh when three letters picked without replacement from hradzhy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -431cac (base 14) in base 9?\nAnswer: -4242273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*m - z, -z = -4*m - 0*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 28 - 10 = -2*g, -34 = -2*a + 5*g. Factor -64*p - 512\/3 - 8*p**a - 1\/3*p**3.\nAnswer: -(p + 8)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 m, and 2 n when four letters picked without replacement from xnmbmxbbxnanzabmn?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -62 and -64 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137846 and 314.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 176*v - 177*v + 7*i, v + i + 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -135*f**5 + 471*f**4 - 270*f**3 - 252*f**2 - 24*f = 0.\nAnswer: -2\/5, -1\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, n: 1, u: 9}. What is prob of sequence ttnu?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 7*l + 6. Let i be p(7). Suppose 25*h - 429 = 14*h. Suppose -16*q - h = -87. What is the greatest common factor of q and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.5 in -0.1, -3\/2, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -50. Calculate the greatest common factor of 84 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62 and -2.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - 3*b - 6*b - b**3 + 9*b - 2 - 6*b**2 to the form w*b**3 + s*b**2 + i*b + r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 10) in base 2?\nAnswer: 1100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-115)\/(-926)) + (-83080)\/(-2077)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521815678 is divided by 2040.\nAnswer: 2038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 + 0 - 1) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 960*b - 586*b + 883*b.\nAnswer: 1257*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*k - 4*k. Let o be k + -924 + -3 + -3. What is the common denominator of o\/126 + 20\/(-90) and 48\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 4*v + v + (2*v + 10*v + 5*v)*(0 - 1 + 3) - 2*v + 5*v - 5*v)*(-3 + 3 + v).\nAnswer: 34*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + k = -17, -36 = 5*x + 5*k - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*p**2 + 7 + 277*p - 4 - 275*p)*(3 + 5 - 5).\nAnswer: 84*p**2 + 6*p + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -20. Let r = 142 + -137. Suppose -13*d - r = -12*d, -23 = -4*z - d. What is the remainder when z is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let z be p(2). Let j(h) = 4*h**2 - 6 - z*h - 3*h**2 + 3*h**2 + h**3. Let v be j(-4). Solve -v + 7 = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/5)*m*m*m)\/(m\/(m*m**(3\/2))))**25\/((m*m**(2\/7))**(-4\/3))**0 assuming m is positive.\nAnswer: m**(265\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/60 + 159\/9. Suppose 31*l - y*l + 70 = 0. What is the common denominator of l and 26\/427?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21063758 is divided by 1872.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 3 - 6\/(-3). Suppose p*k - n + 5 = -k, -4*n = k + 5. Let j(a) = a**2 + 6*a + 5. Let f be j(k). Solve -4*h + 3*w - 5*w = f, 0 = -5*w + 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2867302967.\nAnswer: 2867302967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -3*j**4\/8 - j**2. Suppose -19 = -k - 3*l, 14 = 3*k + 3*l - 31. Let c(m) = 4*m. What is k*c(d) + 6*i(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07808903 rounded to 4 decimal places?\nAnswer: 0.0781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 43, -1\/4, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13976 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -280*s - 1739. What is r(-7)?\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53920 is divided by 149?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 150 = -11*w. Suppose w*h = -h + 5248. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/((-3)\/138). Let y = 58 - s. Is 17 a factor of 1515\/y + 2\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 10\/3073, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43*-14*44\/(-16016)*26?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 6\/3)\/1. Solve -3*n - n = u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 11:51 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f - 8*f**3 + 8 + 142*f**3 + 56*f**3 + 4*f**2. Let h be j(-8). What is h rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g - g - g + g. Let h(s) = 11*s. Determine o(h(q)).\nAnswer: -55*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + w = 3*w - 20, -2*w = u - 15. Solve 0*m = y + m + 2, -u*y = -2*m - 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-6) + (22 - 0). Let w = 35 - p. Solve c + 3 = 0, w = -k - 4*c - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2603 times 2\nAnswer: 5206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9205*g + 46033. Calculate y(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*n + 76, -c - 2*c + 59 = -2*n. Let u = 11 - 2. Let p = c - u. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -p + 143, 4*p - 53 = -3*k + 51. Let s(t) = -27*t + 1509. Let x be s(55). Calculate the greatest common factor of k and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -12*b - 88. Let t be p(-8). Let r(z) = -z**3 + 7*z**2 + 9*z - 3. What is the lowest common multiple of r(t) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**3 - 64*f**2 - 1036*f + 115. Calculate h(22).\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*d + 4 = 0. Suppose -d*s - s = -210. List the prime factors of (-1)\/6 - (-175)\/s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 + 3 = 0. Let v(c) = -c**3 + 9*c**2 + 8*c + 23. Let d be v(10). What is the second derivative of -m*s - 8*s**d + 5*s**3 + 0*s wrt s?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-1 - 1 - -2). Let m(d) be the first derivative of -d**2 + 8*d - 7. What is the smallest common multiple of m(i) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010627432901 rounded to 6 decimal places?\nAnswer: 0.010627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5739857*r - 7*r**2 - 5739857*r + 4.\nAnswer: -7*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g - 45*g - 12 = 0, -122*g + 109*g = -2*f + 82 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33576 is divided by 71.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14338 and 640788.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1798*x + 1795*x - 36 = 3*q, -3*x + 48 = -4*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 1175089557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n - 2*n - n + (3*n + 2*n - 2*n)*(-1 + 2 - 4) + (-5 - 4*n + 5)*(5 - 4 - 3).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469220 is divided by 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*y**3\/7 + 1131*y**2\/7 - 25062*y\/7 + 885 = 0. Calculate y.\nAnswer: 1\/4, 35, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3 = 14. Let d be (-15)\/6*24\/(-10). Let r = d - n. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 0, -11436204 in increasing order.\nAnswer: -11436204, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659*h = 747*h - 13112. What is the remainder when 273 is divided by h?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9387.613um in kilometers?\nAnswer: 0.000009387613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 309069545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -2 - 12) + 20\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2084659?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*x - 1376 = 0, -4*x + 1369 = -4*o - x. Let y = 837 + o. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7028 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**4 + 4*n**4 + 8 + 5*n**2 + 2*n**4 - 4*n**4. Find the second derivative of r(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -7*l + 5*l. Let h(s) = s + 11. Let z be h(-8). Sort l, 4, z in ascending order.\nAnswer: l, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, 1.6, -3?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 162467.06130243?\nAnswer: -162464.06130243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 9.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**5\/20 + b**4\/3 + b**3\/3 - 5*b. Let m be q(-5). What is the units digit of (-20)\/m*(-28)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -198 + 81 + (-28 - -181).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 + -103. Let y(a) = -3*a**3 + 4*a**2 + a - 4. Let k(v) = -2*v**3 + 3*v**2 + v - 3. What is w*k(l) + 3*y(l)?\nAnswer: -l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 10. Let i be w(6). Suppose -3*y + 5 = -5*v, 0 = -3*v + 2*y - i*y + 16. Suppose -3*x + 24 = x. Solve 5*o + 2*f = -f + 29, x = 3*o - v*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 393 = 3*g, 7*g - 397 = -3*q + 2*g. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44 and -0.07.\nAnswer: -3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 - (-35)\/(-3 + -4). Solve -r = 4*l - 6*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (7 + -8 + 5)) + (7 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*t**2 - 1 + 6*t**2 + 1 + (-t + t - t)*(-t + 0*t - 2*t) - 2*t**2 + t**2 + 6*t**2 as u + q*t**2 + l*t and give q.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-5)\/(-3))*3. Let l be (2 - 2\/1)\/r. Suppose 19 = -2*k - 4*s + 15, 3*k = 2*s + 26. Solve 2*g - k*g - 5*o + 5 = 0, 3*g - 4*o - 27 = l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2447 in 0, -2\/7, 5, -1\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -606\/221 - -69\/26. Let k = -47\/238 + g. Is k at most 273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7723 divided by 10074\nAnswer: -7723\/10074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -1)\/((-2)\/6). Let x be n\/2*(3 + -2). Let b(z) = z + 2*z**2 - 4*z + x*z. Let u(d) = 3*d**2. Determine u(b(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1581 + 1579. Put 5\/3, 0.3, v, -2\/3 in decreasing order.\nAnswer: 5\/3, 0.3, -2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 24. Let i(z) = z**3 - 3*z**2 - 4. What is i(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 455 = -697. Let z = 397 - a. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/8)\/(15\/12). Let r = -4.87 - 0.13. Suppose -z - 3*z = 3*m, -2*m + 3*z = 0. What is the biggest value in m, r, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + n - 6*n - 23 = 0, 0 = 5*o - n + 17. Let i(c) = -c**2. Let j(p) = -2*p**3 + 4*p**2 + 4 + 4*p - 2 - 3 - 3*p. Calculate o*i(a) - j(a).\nAnswer: 2*a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 182*q. Let k(p) = 294*p. Give b(k(g)).\nAnswer: 53508*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.172 (b) 10 (c) 0.14 (d) 1\/5 (e) -2 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 - 5*l**2 + 128799*l - 386404. Give g(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 + 160*a - 669. What is the remainder when 5730 is divided by j(34)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + (-1)\/(-4). Let p = 83694\/49 - 1708. Which is smaller: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 4, -58, 1\/4, -2\/15, -1.4, 249?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 257, 246, 233, 218?\n\"Answer: -l**2 - 8*l + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by -118?\nAnswer: 67\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**2 + 114846*h + 104539851 = 0?\nAnswer: -37349, -933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61487 (base 14) to base 9.\nAnswer: 386158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 8*v**2 + 2*v. Let z be g(-4). Let k = z + 168. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1601582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by -5.\nAnswer: -164\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/18*(-127)\/(-1143)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41720176 to the power of 1\/3, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.9, 0.03, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 78051, 78053, 78055, 78057?\n\"Answer: 2*u + 78049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3510881615?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599*h + 33 = -597*h + 5*r, -7*h = 4*r - 129. Solve 2*t + h - 23 = 5*b, -3*t + 5*b + 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, x: 9, a: 7}. Give prob of sequence vav.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13051394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -10. Let r(a) = -22*a**3 - a**2 - a. What is the remainder when r(-1) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -25, 1, 5, -4, -5 in descending order.\nAnswer: 5, 1, -4, -5, -14, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 147102, -3, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(4\/(-7)))\/((-134)\/268)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -32. Suppose 4*p - 3844 - 20184 = q. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206041.97495 + -206037. Let r = u - 4.97. Round r to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4729219827 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y - 1. Let q be i(-2). Let a = 19 + q. Suppose 4*j = 2*j - 2*v + 34, 2*j = v + 49. What is the lowest common multiple of a and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -2\/9, 8\/7, -597, -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 37, 5, 2.\nAnswer: 0, 2, 3, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 3. Let x be f(3). Suppose 0 = 2*k - 4*u - x*u - 42, 0 = u + 5. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*-1)\/((-28)\/266*-95)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*f + 0 = -1, 2 = 3*m - 4*f. Suppose -y = m*y + 4980. Round y to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1261*j**3 + 2*j**2 - 27*j - 534*j**3 - 3*j**4 - 10*j**2 - 727*j**3 to the form g*j + k*j**4 + s*j**3 + t + f*j**2 and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -14, -23, -40, -65, -98, -139?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(44) + 4 - sqrt(11))**2)*4.\nAnswer: 108 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1748*j**3 + 9*j**2 - 5. Let k be m(7). What is k rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*r**2 + 5733\/4 - 951\/2*r = 0.\nAnswer: -637, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 4978*i - 49 + 15547*i.\nAnswer: 10569*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7038 and 34221?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 92*f - 4776. Calculate q(48).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 93 and -1434624.\nAnswer: -133420032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 3 + 0)*(3 - 4 + 0) - 2 + 0 + 0 - 64 + 93 + 271)*(d + 2*d - 5*d) as g + z*d and give z.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + -3 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + c - 11 = -4, 2*u + 8 = 5*c. Let a(s) = -s + 5. Let b be a(u). Calculate the remainder when 6 is divided by b\/4 + (-1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5 - 3. Suppose l*v = -3*x - 4, x - 13 = -3*x + v. Suppose -5 - 7 = 3*p. Which is the third biggest value? (a) x (b) 0.4 (c) p (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300417808?\nAnswer: 2, 18776113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 71, 310, -6, -1.\nAnswer: -6, -2, -1, 71, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -9*r + 8*r. Suppose -47 = -r*o - 2. Suppose 13 = -b + o. Solve 2*k - 10 = -b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/5)*n**(-9\/4))\/(n\/(n**(1\/2)\/n)*n**(4\/9)) assuming n is positive.\nAnswer: n**(-863\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 255, -3, -9, -2, -23 in increasing order.\nAnswer: -23, -9, -4, -3, -2, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*f = 655 + 211 + 718 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(18\/7)\/s)\/s*s**18)**4)**37 assuming s is positive.\nAnswer: s**(21312\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.067 - -0.067. Let w = 8.84 + y. Are w and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/60 - w**4\/6 - 2*w**3\/3 - 4*w**2. Let n be j(-3). Find the second derivative of -3*b**5 - 17*b**3 + n*b**3 - b wrt b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 3. Let d = -231 - -417. Let u be 3 + (d\/33)\/(-2). What is the third smallest value in -4, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22*-928\nAnswer: -20416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 218 - 207. Calculate the remainder when s is divided by (21 + 2585\/(-110))*52\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11509*c - 11505*c + 23017*c + 10. Let m(p) = -5*p. What is i(m(n))?\nAnswer: -15*n + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 156054, 156157, 156260, 156363, 156466, 156569?\n\"Answer: 103*d + 155951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39898176 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-25))\/(6\/5). Let x = -5 + 5. Let l = 0.7 - x. Which is the third biggest value? (a) -3 (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(1 + (2*(1 + sqrt(180) - sqrt(180)) + sqrt(180)*1*-4)*-6))**2.\nAnswer: -50688*sqrt(5) + 1660817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19919988*b + 19919918*b + 0 + 0.\nAnswer: -70*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(2\/(-4) - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 47 + 37 + (-21 - 29 - -25)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 921072, 1842116, 2763160?\nAnswer: 3684204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50011065122 - -6.\nAnswer: 50011065128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67452 is divided by 4451?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -115\/471?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w + 60. Let j be s(10). Suppose j = -4*n - 8*t + 4*t - 4, -2*t - 12 = -3*n. Solve -5*i - 4 = -4*f - n*i, -3*f = -i + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13838\/(-1038) - (-7 - -9). Let s = a + -1\/519. Is s less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10 = -8*s. Solve -3*i + 3 = 3*o + s*i, -3*i - 5 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72018 + -34354. Let k = -22507 + r. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/10 + (-18)\/(-30) + 9. Let w be (2\/3)\/((-3)\/(-18)). Suppose -w*s - z = -12. Solve h = 2*l - 3, -5*l - s = -21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(1176\/16) + (-26)\/(-7) - 1. Let g(b) be the second derivative of -1\/2*b**y - 7*b + 0 + 0*b**2. Let d(k) = -10*k. Give g(d(h)).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - (25 - -25) - (4 - 2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 5*l**2 - 2*l**2 + (-l - 2*l + l)*(3 - 3 + 2*l))*(-6*l**3 - 4*l**3 + 14*l**3).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4))**18)**(-33) assuming z is positive.\nAnswer: z**2376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 694579\/132300 + -1\/33075. Let u*s + s**3 - 21\/4*s**2 - 1 = 0. What is s?\nAnswer: 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, -21, -61, -115, -183?\n\"Answer: -7*g**2 - 5*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2 = -17. Suppose v - 3*f = 4*v, 3*v = k*f + 30. Let h = -5587\/6 + 1861\/2. Sort v, h, -0.01 in decreasing order.\nAnswer: v, -0.01, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/17)\/(v*v**16\/v))\/(v*(v\/(((v*v**(-10)*v)\/v)\/v))\/v)**9 assuming v is positive.\nAnswer: v**(-1957\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 230?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(11) + 1 - sqrt(11)) + -2 - sqrt(99)\/(sqrt(18)\/sqrt(2)) - 5*(-2 + sqrt(11))**2*2) + 1.\nAnswer: -152 + 39*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5 = -4*c, -u - 1 = -2*c - 0*c. Is ((-18)\/u - 2) + 21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743*i - 315*i - 40625 = 567*i for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(847)*1).\nAnswer: sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*o + 7, 3*t + 2*o - 4 = 3. What is the derivative of 2 - 1 - t + 14*u wrt u?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 9*t. Let m(a) = -a**2 - 102 + 2*a**2 + 102. What is m(o(j))?\nAnswer: j**4 + 18*j**3 + 81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*m - 114*a**2 + 2*a*m**2 - m wrt m?\nAnswer: a**2 + 4*a*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -124 + 122. Let l be 30 - (-4)\/d - 3. Solve -3*y = 2*y + l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34580*b*r**2*t - b*r**2 + 2266*b - 4078*r**2*t - r**2 - 4*r*t - 70*r wrt b?\nAnswer: 34580*r**2*t - r**2 + 2266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 4*a - 80. Is 7 a factor of a\/(-1 + 0\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 = -5*c, 0 = -4*z + 2*c + 66 - 72. Sort 1, z, 195.\nAnswer: z, 1, 195","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + 15*i + 23. Determine d(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 1)*(3*g - 5*g + 5*g) + (3 - 2 + 0)*(3*g - 3*g + 2*g))*(-1 + 4 - 2).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + 121 + 3 + -54?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*w - 0*w - 2*f, 4*f = -5*w + 57. Let h = w - 8. Calculate the lowest common multiple of h and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3392 divided by 848?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5*(8 - 4))\/(1 - -1). Let g be (j\/(-4) + 3)*14\/7. Sort 3, g, -5, 5 in descending order.\nAnswer: 5, 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(sqrt(10)\/sqrt(2)*2)**2 + (sqrt(3240)*-1)\/((sqrt(88)*1 + sqrt(88))\/sqrt(11)))*-1.\nAnswer: -240 + 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312933658.\nAnswer: 2, 3803, 41143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**3 + 127*y**2 - 162*y - 3269. Determine s(-43).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 + 63. Let t = -14 + p. Do 0.15 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479944.\nAnswer: 2, 17, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -8. Find the second derivative of -5*k**4 + k - 3*k**4 + t*k**4 wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*35\/30*(-27)\/(108\/(-32))\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.062945 micrograms?\nAnswer: 0.000000000004062945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 357*w**3 - 5408 + 5408 + w to m + c*w**2 + u*w**3 + i*w and give u.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 426\/(-76) + 32\/64 + 5.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6005\/1738 + -18\/79. Suppose 5*s - 5*c - 1030 + 100 = 0, 188 = s - 3*c. Let v = -379\/2 + s. Find the common denominator of x and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 + -2) - (324 + -332)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311785 is divided by 190?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 166343285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2344 + -519. What are the prime factors of v?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 267910 and 6606.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*w + 20*w. Let p be w\/4 + -1 + 2. Let l be (12\/11 + -1)\/p. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.723468 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*d + 3*m - 3, -5*d - 3*m + 3 = 0. Let f(u) = 2*u**3 - 8*u**2 - 605*u + 2424. Let r be f(4). Solve z - r*z - 3 = d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -2)*(0 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -20 (b) 0.2 (c) 0.4 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 8*b**2 + 15*b - 10. Let v be k(9). What is the highest common divisor of v and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**5 + 55*d**4 - 190*d**3 + 260*d**2 - 120*d = 0. What is d?\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753 + 2*r**3 + 771 - 1590.\nAnswer: 2*r**3 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/12 + -4)\/(22\/(-33)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2 + 253278*o - 6584552 = 0.\nAnswer: 26, 253252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -238 - -239. Solve -w - d = -2*r + 1, -2 = -3*w + 2*r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1843 * -18\nAnswer: -33174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5))**(-4\/41)*(a*a**(-1\/24)\/a)\/a*a**(-8)\/a*a*a assuming a is positive.\nAnswer: a**(-7433\/984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7826876 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -150828 (base 9) to base 14\nAnswer: -25a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 25. Suppose i = -9*y + 3*y + 78. Suppose 4*v - 3 = y. Calculate the remainder when v is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vixxixvkixxqxik. What is prob of sequence xix?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (312\/20)\/(-5 + 3). Which is greater: -9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 - n**3 - 2*n**3)*(n + 3*n - 3*n) + (-2*n + 2*n + n**3)*(2*n + 0 + 0) - n**4 - 17*n**4 + 4*n**4.\nAnswer: -10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -22444322.773 to the nearest 10000.\nAnswer: -22440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = -w. Solve -8 = 4*y, 3*l + w*y = y - 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/15)*z)\/z**(-2\/7)*z\/((z\/((z**3*z)\/z))\/z)*z**(3\/4))**(-23\/5) assuming z is positive.\nAnswer: z**(-59593\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 8*j**2 + 5*j - 8. Let b be d(6). Let n = 80 + b. Let a(t) = 31*t - 1. Let y be a(1). Calculate the greatest common divisor of n and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -13 + (11 - 22) + (-14 - -4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -7.2. Let w = 3.7 + -0.7. What is the smallest value in -4, w, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + (5 + sqrt(180) + -3 - (sqrt(180) + ((sqrt(180) - (-5 + sqrt(180)) - sqrt(180)) + 5 - sqrt(180)))))**2)*2.\nAnswer: -288*sqrt(5) + 1518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 142494320 divided by -86465\nAnswer: -1648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**2 + 6 - 6.\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2219 by 5548.\nAnswer: -2219\/5548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 47*u**2 + 252*u**2 - 64*u**2 - 48*u**2 as c + w*u + s*u**2 and give s.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.053 - 16\nAnswer: -15.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 2*m**2 - 4679 + 11*m - 2160.\nAnswer: 2*m**2 + m - 6839","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10379*a**2 - 148*a*f**2 + 212*f**2 - 86 wrt a.\nAnswer: -20758*a - 148*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 103. Let n = -87 + p. Let t(r) = -r**2 + 3*r - 3. Calculate t(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303944?\nAnswer: 2, 37993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1001*m - 358*m - 323*m - 6*m**3 + 0*m**3 - 325*m - 223 as n*m**3 + w + f*m + d*m**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let n(d) = -5*d. Let m(c) = -6*h(c) + n(c). What is m(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-1)*172\/(-258). Sort q, -3, 8, -12.\nAnswer: -12, q, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4818000 rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t. Suppose m - 4*m = t. Suppose 0*n = 4*q + 3*n - 26, -2*n - 4 = m. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 32*g - 6. What are the prime factors of f(2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 0.2, 3, 20.8, -5, -4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17498780 divided by -740\nAnswer: -23647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1. Let b(d) = d + 14. Let u = 9651 - 9652. Determine u*b(a) - 2*w(a).\nAnswer: -a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z. Let t(v) = -20*v + 10*v + 9*v. Let f = 0 + 2. What is f*t(n) + m(n)?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y - 36. Let b(r) = -r**2 - 13*r - 11. Let h be b(y). Which is smaller: -2\/11 or h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 175927 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 668 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 14*y - 16. Let k be i(-15). Let f = -1 - k. Let a be 1 + (-1 + f)\/(-1). Are a and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*v - 8, 0 = 2*m - v - 1 + 3. Suppose 3*n - 2*n - 3 = m. Find the common denominator of 299\/(-12) - n\/(-4) and 23\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 1:05 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, i: 4}. Give prob of sequence iibi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 50*l - 56. Determine d(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591309544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from fnnnnnnnnnnnnnnnfn.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.7 smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = -2, 5*k - 2*u - 26 = 0. Solve k*z - z - 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496352 divided by 44?\nAnswer: 34008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.0789 rounded to 0 decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/4 - 13*n**3\/3 + 23*n**2\/2 - 11*n - 75. Factor y(u).\nAnswer: (u - 11)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -2\/13 (c) 0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8490 - 4890. Is t a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 184 and -1.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/276 and 103\/60?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 167488 (base 9) to base 10\nAnswer: 103922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 10*o + 22. Give f(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**3 + 3*g**3 - 2*g**3)*(1 + g - 1) + 19*g**4 - 38*g**4 + 3*g**4.\nAnswer: -22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + (-611)\/(585\/(-45)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*h + 29. Let w = h + -4. Suppose -3*c + k + 3689999 = 0, -3*c + 0*c + 5*k + 3689995 = w. Round c to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -3308 (c) 4\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d - 3 = 0. Let u be ((-5)\/(-2) + d)*0. Suppose 3*k - 4*k - z = -19, -4*z + 16 = u. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31330422 (base 5) in base 7?\nAnswer: 2135663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 28*t - 8. Calculate m(24).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-12)\/(2376\/1807) - 8\/44\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17773 - -17819. What is the highest common factor of j and 1909?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -20. Is (-4)\/h - 310\/(-25) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -254.1 plus 0.2?\nAnswer: -253.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -5 (c) -2\/21 (d) 0 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18303651 take away -395.25?\nAnswer: -18303255.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 5*q - 5*q + 3*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 + 105. Let k = d + -124. Let n = k + -78. What is the remainder when 16 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33563681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 39.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from isiiiisiiii?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.164369 seconds in nanoseconds?\nAnswer: 164369000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/1430 and -92\/6274125.\nAnswer: 12548250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16598 (base 11) to base 4.\nAnswer: -11230223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82432921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 + 1)*(-m + m - m) + 6 + 3*m - 6)*(10 + 4*m - 2*m + 2*m).\nAnswer: 4*m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 1}. Give prob of sequence ib.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 35 (b) 2\/3 (c) -3 (d) 5 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -95, -232, -435, -710, -1063, -1500, -2027?\nAnswer: -2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 403199\/171456 - (-8)\/(-6) - 1 and -127\/6.\nAnswer: 9024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2843.\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 653*q**6\/5 + 2635*q**2\/2 - 18*q - 25. Differentiate a(w) wrt w.\nAnswer: 15672*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 197\/4 - 1\/4. Suppose -275 = -5*x + 5*y, 3*x - 6*x + y + 159 = 0. Suppose -3*f + v + u = f, 0 = -4*f + 4*v + x. Solve 2*g + g - f = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3 - 22*g**2 - 80*g - 56 = 0. What is g?\nAnswer: -2, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*s*t**4 + 2*s*t**3 + 1649*s + 128*t wrt t.\nAnswer: -16*s*t**3 + 6*s*t**2 + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + 14 + 1 + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4 + 9*q**2 - 3*q**2 + 4*q**3 + 21*q**2 - 80*q + 32 + 3*q**2 + 16*q = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-2)*12\/10. Suppose -3*v - 2*y = -2, -9*y = -4*y - 5. Differentiate h**3 + v*h - 5*h**3 + 0*h - g with respect to h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Suppose -4*i = -2*a, -5*a - 3*i = -18 + 5. What is the third smallest value in -1, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3336416, 3336464, 3336552, 3336686, 3336872, 3337116?\n\"Answer: q**3 + 14*q**2 - q + 3336402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 7*q - 10. Suppose -6 = 2*n - n. Let g be z(n). Suppose -4*r = -4*x + g, 5*r - 3*x = 2 - 29. Is -8 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 5*w - 20. Is -48*(-2 + w\/(-16)) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5*1 - (34 - 5358\/152).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -j - 11*s + 6*s, -8 = j - 3*s. What is the nearest to 2 in 0.5, j, 1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 621000 or 621186?\nAnswer: 621186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**2\/4 - 13103245*n\/4 - 9827445 = 0.\nAnswer: -3, 2620652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9365 and 2.0907156.\nAnswer: -9362.9092844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 4*s - 1. Let w(u) = 7*u**2 - 30*u + 5. Let n(a) = 5*j(a) - w(a). Let i(y) = 4*y**2 - 3*y + 3. Calculate 10*i(q) + 3*n(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + 1 + 9 + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -193*z**2 - 196*z**2 + 586*z**2 + 2 + 2*z**4 - 198*z**2 - 109*z**3 to the form l*z**2 + u + r*z + o*z**3 + f*z**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -15*r - 15. Calculate x(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*i**2 - 49*i**2 - 84*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t - 10 = 0. Suppose 16*n = 475 + t. Calculate the highest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*k + 3021 = -1929 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/10 and 7\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1247*q**5 - 1158*q**2 wrt q?\nAnswer: 74820*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 - 4*a**3 + 43*a - 35*a - 67*a**2 - 10*a + 1 in the form y*a + x*a**2 + v*a**3 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 93670*s**2 - 281105*s - 936850.\nAnswer: 5*(s - 5)*(s + 2)*(s + 18737)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 78*b**3 - 76*b**2 + 12*b - 8. Determine h(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)\/(o*o*o\/o**(1\/10)))**(24\/11) assuming o is positive.\nAnswer: o**(-828\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -140 and -142 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2107 = 193*d + 3765 + 8603 for d.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 13. What is the common denominator of 78\/k + (-1 - -2) and -75\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38, -97, -156, -215, -274?\n\"Answer: -59*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1))**(10\/9)\/((w**6*w)\/w*w**(-2\/5)))**6 assuming w is positive.\nAnswer: w**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + (-44 - -137 - 184).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 + 4.1. Let y = 28\/9 - 10\/3. Let c be 42\/(-48) + 2 - (-6)\/(-8). What is the third biggest value in s, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.075332096 to four decimal places.\nAnswer: 0.0753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**3 + 35*z**3 - 18*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183011?\nAnswer: 23, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 75*o**2 + 33*o + 155. Let c be z(37). Put 2, 5, -1, c, 0 in ascending order.\nAnswer: -1, 0, 2, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*a + 5*m, -3*m = 5*a - m - 31. Let w be a\/5 - 1 - 55000. What is w rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 1)*(-2 + 5 - 2) - 9 - 4 + 3)*(-2*g**2 + 4*g**2 + 0*g**2).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/3849039 and -35\/183.\nAnswer: 3849039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**6\/60 - n**5\/10 + 3*n**4\/8 + 4*n**3\/3 - 18*n**2. Is q(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161748842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)\/((a\/(a**(3\/2)\/a)*a)\/a*a))\/(a**(-2)*a)**(-39) assuming a is positive.\nAnswer: a**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**3\/12 + 1118*x**2\/3 + 781915*x\/12 + 16769225\/6 = 0.\nAnswer: -85, 4642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 4*y + 9*u - 38404, 3*u + 9588 = y. What is y rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k + 5 = r, r - 3*k - 19 = 0. Suppose 3 = -10*m + r*m. Suppose 0 = -0*s + s + 4. Sort m, -5, s in increasing order.\nAnswer: -5, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - -2*sqrt(198))\/sqrt(11))\/(sqrt(6) - (sqrt(600) - 1*sqrt(600) - sqrt(6))).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 10*d - 6. Suppose f - 3*y - 5 = y, 3*f - 2*y = 25. Let l be n(f). What is the second derivative of 2*i**3 - 4*i**l + 0*i + 2*i wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 + -105. Let g(j) be the second derivative of s + 0*j**2 - 5*j + 0*j**5 + 0*j**3 - 1\/3*j**4 - 2\/15*j**6. What is the third derivative of g(u) wrt u?\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10252 + -2856. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/3 - 846622*t**2\/3 + 89596524670*t\/3 - 89595678050\/3 = 0. What is t?\nAnswer: 1, 211655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 4. Let q be y(0). Suppose 0*o - q*o = -20. Let n(p) = 2*p**2 - 6*p - 19. Let f(d) = d**2 - 3*d - 9. Let c(h) = -5*f(h) + 2*n(h). Give c(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.698765 meters?\nAnswer: 698.765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 3*p**2\/2 - 4*p + 2. Let z(c) = 6*c - 9. Let q(n) = -9*v(n) + 4*z(n). Let y(s) = -2*s**2 + s**2 + 49 - 49. Calculate y(q(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8*z**2 - 17*z - 14. Calculate o(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -383590*f*x - 7770*x + 90 wrt f.\nAnswer: -383590*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*x = -3*x + 203 + 1021 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/4))\/v)**(9\/2)\/(v**(2\/7))**(-1\/22))\/(v\/(v*v*v**(-6)*v*v)*v**(-3)*v*(v**2)**8) assuming v is positive.\nAnswer: v**(-9771\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*n = 14, 0 = 3*t - 3*n - 2*n - 2. Let h = -71 + 74. Suppose 0 = k - 4*x + 5, -50 = k - h*k - t*x. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776*w + 885*w - 2071 = 0 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120927790.\nAnswer: 2, 5, 23, 525773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0 + 0*p - 67*p**2 + 1\/12*p**4 + 0*p**3. Let n(u) = -u**2 + 1. Determine z(n(g)).\nAnswer: -2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/1)\/((-76)\/51376*-182)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000011101 - -100011101110011?\nAnswer: 11111101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000695616 to 5 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*c + 139 - 937. Suppose -3*m = -28 - 29. What is the highest common factor of m and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = 3*i - a, 0 = -3*i + 2*a + 4. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96907c (base 13) to base 11.\nAnswer: 1aa3339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 0.3 (c) -4 (d) 0.014\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*o + 448 + 13 - 101 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1517 - -1514. Let n be (1 - 7)\/(3\/(-2)). Which is the second biggest value? (a) n (b) p (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**2\/2 - 6*q - 7. What is w(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = s + 2. Let l(u) be the first derivative of s - 4\/21*u**3 + 0*u + 0*u**2 + 5\/14*u**4 + 2\/5*u**5. Factor l(c).\nAnswer: 2*c**2*(c + 1)*(7*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4328816 is divided by 618398.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/(h**0*h))**(-3\/17)\/(h\/(h\/h**(-2\/17))*h**(-10)) assuming h is positive.\nAnswer: h**(166\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4*y = 32, 0 = -8*o + 4*y + 2716 - 2748 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1615 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-0.75\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8084.2928 - -8080. Round b to 2 dps.\nAnswer: -4.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5\/22, 2 in decreasing order.\nAnswer: 5, 2, 5\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 336 - 326. Solve 3*z + 2*z = -t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10093?\nAnswer: 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.363 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4.193, 6, -2\/69 in decreasing order.\nAnswer: 6, -2\/69, -0.3, -4.193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i = 12*i + 676. Let j be 4\/i - (2 - (-34738)\/(-1001)). Is j at least as big as 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.94 - 0.16. Let j = 1.0999938 + w. Round j to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -96, -302, -602, -990, -1460?\n\"Answer: a**3 - 53*a**2 - 54*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -920 by 8.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 0*y**2 + 6*y**2)*(0*y**2 + 0*y**2 + 2*y**2)*(4 - 2 - 1).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438973, 439191, 439409, 439627, 439845?\nAnswer: 440063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7677 and 1359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 = 4*p + 4*n, -4*n = -3*p + n + 312. What is the least common multiple of p and 112\/18 - ((-120)\/(-108))\/5?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**5\/80 + 463*b**4\/96 + 77*b**3\/12 - 824*b**2. Find r such that q(r) = 0.\nAnswer: -154, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 - 4*t + 11*t**2 + 4*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -72 + 6?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, d: 12}. What is prob of picking 2 d?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l**3 + 12*l**2 + 4*l - 21. Let u be j(6). Suppose -10*s = 5*s - u. What are the prime factors of s?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**3 + 2*k**2 - 4*k + 25. Let n(r) = -4*r**3 + 5*r - 20. Calculate 3*n(l) + 2*p(l).\nAnswer: -2*l**3 + 4*l**2 + 7*l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**5 + 13040*s**4 - 1239785*s**3 + 24707470*s**2 + 260514080*s + 564047200 = 0.\nAnswer: -4, 53, 2510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4a661 (base 13) to base 14\nAnswer: -38079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, -7, -4, -3, 1 in descending order.\nAnswer: 15, 1, -1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -3 (c) 297 (d) 1\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 25*k**2 + 100*k + 106. Give b(20).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in months?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56*23\/1288)\/(3*(-3)\/(-1062))?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - q = -0*q - 3, 4*v + 4*q = 0. Suppose v*n - 20 = n. Calculate the highest common factor of 35 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1336566 is divided by 26165?\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606.428 litres to millilitres.\nAnswer: 606428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 2*q - 1 + 0*q**2 + 2*q**2. What is the remainder when 13 is divided by x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -q - 102, 0 = 2*q + 14035*j - 14040*j - 96 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3*g = -5*x - 27, -g + 2*x - 9 = 0. Let q(h) = -2*h - 19. Let i be q(g). What is the units digit of i\/(-4) - 741\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 5*i - a + 2, i - 10 = a. Suppose 2*r - i*r + 140 = 0. Let m be 20\/r - 3\/(-7). Which is smaller: 1\/23 or m?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + 1. Suppose 10 = -3*p + 6*p - 4*c, -2*c + 16 = 2*p. Let r be x\/18 + (-4)\/p. Put -3\/8, r, 0.5 in descending order.\nAnswer: 0.5, r, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, m: 5, y: 2, k: 3}. What is prob of picking 3 k?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 623*z + 98*z + 50 - 75 + 24 in the form r + g*z and give g.\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/29))**(-3\/14)*(t\/((t\/(t\/t**(1\/6)*t))\/t*t))**(-13\/3) assuming t is positive.\nAnswer: t**(-29083\/3654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 20, -40441, 5 in descending order.\nAnswer: 20, 5, -3, -40441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -768, 4, -18, -7, 3 in descending order.\nAnswer: 4, 3, -7, -18, -768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*v**2 - 6*a**3*v + 28*a**2*v**2 + a*v + 3*v wrt v.\nAnswer: 4*a**3 + 56*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/16*(1 + 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -356*x**2 - 9*x. Let r(k) = -711*k**2 - 15*k. What is -5*c(i) + 3*r(i)?\nAnswer: -353*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 - 14 = -14*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15942*q**5 + 3*q**4 + 185190*q?\nAnswer: -318840*q**3 + 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56\/41399 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -77023*u - 2541755. What is l(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9 = 3. What is the third derivative of 19*t**y - 35*t**2 + 18*t**2 + 18*t**3 wrt t?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11296 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = z + 6, -2*r = 3*r - 3*z - 10. Let u(f) = 60*f**2 - 3*f. Let h be u(r). Let i be (3000\/9)\/((-2)\/h). Round i to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, t: 1}. Give prob of picking 1 t and 1 c.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.47 - -10.47. Let n = -19 - -15. Which is the closest to -1\/3? (a) x (b) n (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/34964 and -157\/312?\nAnswer: 2727192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**3\/3 - 104. Let b(q) be the first derivative of 10*q**3\/3 + q**2 + 4. Calculate s(b(w)).\nAnswer: -100*w**4 - 40*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -245 - -251. Let k(f) be the third derivative of 2*f**2 + 0*f**3 + 0*f + 0 + 1\/72*f**4 + 0*f**5 - 1\/360*f**h. What is t in k(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - (3 + (-12)\/4). Let x(l) = l**3 + 5*l**2 + 3*l + 2. What is x(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**4\/24 - 5*c**2\/2 - 2. Let u(l) be the second derivative of t(l). Let h(n) = -1 + 1 - n**2. Give h(u(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1763 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7*a - 2*a**3 + 2*a + 0*a to the form n*a**3 + u*a + k*a**2 + p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6539 is divided by 49?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 267 - 674. Are -407 and i unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 5*v**2 - 4*v - 5. Let a = 107 - 276. Let g = a - -177. What is the remainder when z(-5) is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h - 20 = 0, 0 = -m - 2*h + 14. Suppose -5*p + 80 = -5*v, 135*p - 5*v - 44 = 134*p. Solve 0 = m*i - p*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(170)*2 - sqrt(170)))\/(sqrt(10) - -4*sqrt(160)).\nAnswer: 3*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*y + 1343*i**2 + 91*y**2 - 3*y wrt y.\nAnswer: -2*i**2 + 182*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16710 - -1176. What are the prime factors of i?\nAnswer: 2, 3, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + w**2 - 2*w - 5. Let z be -2*3\/12*-6 - 7. Is g(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/35 (b) -0.2 (c) -122\/17 (d) 20 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4095 by -273.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 251*n - 8 + 349 + 161 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k + 10*k - 592 - 30*k.\nAnswer: k - 592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 153 - -1?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -158, -1150, -3810, -8972, -17470, -30138, -47810, -71320?\n\"Answer: -139*p**3 - 19*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268891181?\nAnswer: 13, 20683937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 11.5, 0, -1\/3 in descending order.\nAnswer: 12, 11.5, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 546900 to the nearest 10000.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 3:48 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2 - -2) + (-22 - -26).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 16 - 44 = 0. Suppose c - i*x - 136 = 0, -3*x + 20 = x. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56632957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 + 6*c - 43. Determine s(4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2\/7, 5, -15, 167, 0.08, -3\/10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f + 193. Let a(g) = -10*g - 303. Calculate -7*a(l) - 8*x(l).\nAnswer: -2*l + 577","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 60 = -6. Suppose a*f - 28 = 4*f. Calculate the remainder when (4 - 2 - -24) + 0 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: 3816 divided by 3\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -82a (base 16) in base 6?\nAnswer: -13402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-782)*-34 + 4*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 42 = -2*y, 19*y + j = 24*y - 139. Solve -12 + y = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7 + 14\/35*3365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + 2\/3. Let j be (3 - 7\/2)\/(14\/(-116)). Let t = j + -30\/7. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/(-44)) + 111 + (-33100)\/300.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/sqrt(80) + sqrt(35))\/((sqrt(240)\/sqrt(8))\/sqrt(6)).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226080971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24651 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 114*t + 111.\nAnswer: 3*(t - 37)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(6\/7)*j**(-1\/6)\/j*j*((j**(-2\/3)\/j*j)\/j)**(-32) assuming j is positive.\nAnswer: j**(2269\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145 - -229. Suppose -74 = 3*n - h. Suppose w - n = -3*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 482.44 - 480. Let j = 2.43998815 - z. What is j rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1 - -2)\/36)\/(1\/(-218)) and 11\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/4 - 13069438*t + 170810209635844 = 0.\nAnswer: 26138876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*(v*v**(-2\/7)*v)\/v*v)*v**(2\/3)*(v**(2\/3)\/v)**28 assuming v is positive.\nAnswer: v**(-218\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/3 + -4 - 0. Let x be -28*(-10)\/40 + (-4)\/1. Which is the biggest value? (a) 75 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -4*l + 5*n, -51*n + 55*n = -5*l + 128. Solve -4*v + 9 - l = p, 5*v + 4*p + 27 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 133*y + 5*y**3 + 230*y - 23*y**3 + y**4 wrt y.\nAnswer: 12*y**2 - 108*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8358 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*b + 73*b - 228*b + 75*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 2625.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-6)*(-30)\/(-25). Suppose -2*i - 85 = -5*d, -d + 40 = i - 6*i. Factor f**4 + d*f**2 + 12*f**k + f**4 + f**4 + 6*f.\nAnswer: 3*f*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 234 - 217. What is the highest common divisor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459725552?\nAnswer: 2, 11, 13, 200929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3917530*0.49\nAnswer: -1919589.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4846 is divided by 1118.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9214968.\nAnswer: 2, 3, 7, 54851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1295136 and 89940?\nAnswer: 6475680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686760 is divided by 21430?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 9 + -2 - 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-4\/9)*v))\/v)**44*(v\/(v*(v*v**(-5))\/v*v))**(11\/5))**(8\/5) assuming v is positive.\nAnswer: v**(-5632\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.0120177 nanograms?\nAnswer: 0.0000120177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 32. Let q(v) be the second derivative of -v**4\/6 + 12*v**2 - 698*v. Determine q(c(h)).\nAnswer: -8*h**2 + 256*h - 2024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12508 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**6\/z)*z*z\/(z*z*(z\/((z**(-6)\/z)\/z)*z*z*z)\/z*z)*(z**(-2))**25 assuming z is positive.\nAnswer: z**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = -0*w. Suppose 0 = 5*n - 7 + 2. Let v be n\/(18\/(-4)) + 29\/9. Solve 19 = v*y + w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -39*j - 2129. Calculate the least common multiple of 1562 and b(-56).\nAnswer: 7810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 37. Sort -8, v, 1, -2 in descending order.\nAnswer: 1, -2, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*r = 10, -5*x + 3*r - 2 = 2*r. Let z(p) = 2028*p**3 - 3*p - 1. Let q be z(x). List the prime factors of q\/(-14) - (-6 + (-40)\/(-7)).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/9)\/(o*o**(-1\/49)) assuming o is positive.\nAnswer: o**(-530\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052 minus 14607?\nAnswer: -14606.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4 - 24*u**3 - 108*u**2 + 304*u + 384 = 0. What is u?\nAnswer: -4, -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 50*a - 1109. What is p(22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32262227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-6)\/18*-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + x**2 + 4*x - 1. Let y be i(-2). Solve y*u + 5 - 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8940 + 7732*u + 4479 + 4461 as h + d*u and give d.\nAnswer: 7732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2024 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2\/3657 (c) -1\/2 (d) 1.587\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**2 + 10*z + 9. Let f(g) = -g**2 - 2*g - 2. What is 2*b(o) + 11*f(o)?\nAnswer: o**2 - 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 - 78. Suppose -14*u = -15*u + k. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 28\/(-3)*17427\/(-314)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/969 and -71\/1224?\nAnswer: 23256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.93 + -0.07. Let o = 1279 - 1284. Sort o, 2\/9, x in increasing order.\nAnswer: o, x, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-68))\/(4*3\/48*-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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 m(j) = -j**3 + 56*j**2 + 18*j - 101. What is the tens digit of m(28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 10. Let i(t) = 4*t**2 - 4*t + 2. Let f(j) = 9*j**2 - 7*j + 4. Let x(a) = -2*f(a) + 5*i(a). Calculate the least common multiple of r and x(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468036431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.861597 rounded to one decimal place?\nAnswer: -30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158642775 to the nearest integer?\nAnswer: 12595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 10:20 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*t + 35*t**3 + 0*t**2 + 2*t**2 + 13879*t.\nAnswer: 35*t**3 + 2*t**2 + 13600*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 3, -53 in ascending order.\nAnswer: -53, -17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/(-12)*3*-2. Let c be (y\/33)\/((-22)\/(-24) + -1). Suppose -5*d + c = 3*d. Calculate the remainder when 3 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 16*w**2 + 13*w + 15. What is the units digit of g(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (-11 - (15 - (-17 - -22)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + -2. Let o = k + 5. Let j = -1707 - -1706. Are j and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 13 (b) 1\/3 (c) 9 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (51*r + 21*r + 65*r)*(r - 3*r + 4*r) - 3 + 3 - r**2 + (-4*r + 3*r + 3*r)*(r + 3*r - 3*r) as k*r + w + o*r**2 and give o.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w + 450 = 198 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2499509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, -82, 7 in ascending order.\nAnswer: -82, -3, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 35031\nAnswer: -5\/35031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -2722 (c) 0.4 (d) -137 (e) 0 (f) 0.1 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*r + 11. Let x(m) = -9*m - 43. Let d(s) = 13*s + 62. Let p(f) = -5*d(f) - 7*x(f). Calculate p(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -651 + 480. Let t = 175 + u. Suppose -4*a = -0*a - 8. Put a, -3, t in decreasing order.\nAnswer: t, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -24. Let q(p) = -p**3 + p**2 + p + 1. Let b be q(-1). Let w(s) = -s**b + s**v - 3*s + s - s**2. Give w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 17 = 4*b, -9 = -2*b + 3*v - 4. Suppose -16*l + 15*l = -3. Which is greater: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -82. Let b = 25 - s. Let v be (-10)\/(-4)*6\/5. Sort 5, v, b.\nAnswer: b, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 296*x**3 + x**2 - 2. Does 33 divide i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9859?\nAnswer: 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40 + -b04?\nAnswer: -b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001212 + -122022012?\nAnswer: -200101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i. Let t(k) = 21 + 699*k - 696*k + 11 + 293. Calculate t(w(v)).\nAnswer: 6*v + 325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 336937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1300, 20 in descending order.\nAnswer: 20, 4, 2, -1300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least -0.662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 8. Let k be u(12). Suppose k = -5*n, 24 = -0*f + 4*f - 4*n. Let a(j) = 6*j + f*j - 7*j - 3*j. Let h(o) = 18*o. What is a(h(w))?\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q - 37*q = -6, -x = -q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 + 7*a**2\/5 + 6*a\/5.\nAnswer: a*(a + 1)*(a + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2\/11, 1 in ascending order.\nAnswer: -2\/11, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9233, -9237, -9243, -9251, -9261, -9273, -9287?\nAnswer: -9303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 17. Let a = s + -6. Suppose -2*y + 16 = -0*y. Solve a*k - 4*k + y = 2*n, -2*n = -4*k - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*j - 29 + 32, 5*j - 9 = -q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1054*f**4 + 185*f**2*y**2 + 19065*f*y**2 - f + 3*y**2 + 2*y wrt f?\nAnswer: -12648*f**2 + 370*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 5*t. Let c(p) = 2*p**2 + 4*p. Calculate 6*c(o) - 5*j(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1677 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 + 58. Let n = 162 + z. Suppose 0 = 23*j - 28*j - 3*l + 84, 5*l - 15 = 0. What is the greatest common divisor of j and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 83*y**3 + 4*y - 6. Let x(z) = -1080*z**3 - 54*z + 78. What is -27*v(n) - 2*x(n)?\nAnswer: -81*n**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/(-440)*16\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 1. Let b(s) = -3*s**2 + 8*s + 8. Let d(t) = -14*t**2 + 40*t + 39. Let v(l) = 11*b(l) - 2*d(l). Let h(a) = -6*o(a) - v(a). Is h(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3205*l**6*m**2 - 2*l**4*m**3 - 3*l**2*m**2 - 3*l**2*m - 255*m**3 - m**2 wrt l?\nAnswer: 384600*l**3*m**2 - 48*l*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p + 166. What is the hundreds digit of t(-31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o + 2*d + 260 = 0, 0 = 4*o + 5*d + 525. Is o less than or equal to -127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.261 * 0.3.\nAnswer: 0.0783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 2:28 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 11) in base 15?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 3, e: 4, t: 2, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 0, -2, -698, -4, 1 in decreasing order.\nAnswer: 7, 1, 0, -2, -3, -4, -698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + x - 3)*(x + 0*x + x + 3 - 3 - x - 2*x - x + 4*x + (-1 + 1 - x)*(-5 + 1 + 3) + 3*x - 5*x + 3*x - x + x - x - 3 - 2*x + 3).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.25 + -0.84. Let k = -0.51 + h. Let g = 7 - 6.9. Sort 2, k, g in descending order.\nAnswer: 2, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.42 - 0.58. Which is the closest to 2? (a) v (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/2 - (2 - 4))*2. Is -3 - a - (-1 - (-52)\/(-2)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.086 - -16.086. Is 1 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.0551 - 1.0551. What is the third smallest value in h, -4, -2\/17, -0.5, 74?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -269 less than or equal to -190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u - 4 = 0, 201 = 2*b + 5*u. Suppose -1187*g - 114 = -1184*g. Let v = b + g. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -656.7 + 664. What is q rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + l + 0*l + (-l + 0*l + 0*l)*(-3 + 6 - 1) - l - 4 + 4 - l - 5*l + 4*l as b*l + f and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804067.\nAnswer: 11, 67, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 62857204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and 137.4?\nAnswer: 123.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + -4 + (3 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1167 to the nearest ten.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 5) to base 2\nAnswer: 10010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, p: 7, a: 2}. Give prob of sequence aapp.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -1\/21*g**7 + 0 - 9\/40*g**5 + 1\/12*g**3 - 1\/24*g**4 - 11\/60*g**6 - 4*g + 0*g**2. Determine r, given that w(r) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49028.1 to the nearest 1000.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3725 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347224*u**3 - 694082*u**3 + 346860*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 20*t - 9*t - 8*t to the form u + s*t and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/6)\/(1\/(-6)) + -2. Suppose -4*j + 0*j = f - i, j = -f + 8. Calculate the highest common factor of 20 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -20, 1, 18, -0.1.\nAnswer: -20, -0.1, 1, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 44*m - 194. Let f be j(-48). Which is smaller: -219\/25 or f?\nAnswer: -219\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 2 + 1\/4*r**4 - 1\/2*r**2 + 2\/3*r**3 - 2*r. Let l be m(-2). Solve 5*d - 4*d + 2 = l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stt when three letters picked without replacement from {t: 15, s: 3}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 6 + 8 - 6)*(17 - 3 + 8).\nAnswer: 88*t + 176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 + 3*u + 4*u - 2*u - 4*u.\nAnswer: -6*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1406*o**2 - 7*o**3 + 469*o**2 - o**3 - 22*o**3 + 463*o**2 + 475*o**2.\nAnswer: -30*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a factor of 119586934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 1452?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -226.35 to the nearest integer.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-2 - (3\/3)\/1). What is the first derivative of -16*c**4 + 17 - 162*c**i + 162*c**3 wrt c?\nAnswer: -64*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29616 and 2468.\nAnswer: 29616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.3, 29870911?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2211420 divided by 2211420\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 537\/(-1790) + 13549\/629*(-1)\/(-70).\nAnswer: 2\/259","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:44 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -3603479.\nAnswer: 4\/3603479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27990829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*o + 3*x, 3*o + 5*x = o + 11. Let s be 0\/o - 21\/((-294)\/56). Suppose 3*y + 20 = 8*y. Solve 5*m + 4*g - 21 = -0*g, y*g - 20 = -s*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + h + 1. Let a be 3\/15 + (-6)\/5. Let k = -3 - a. Determine s(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 16. Let j = 12 + o. What is the smallest value in -3, -0.5, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 9765?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15164, -14998, -14816, -14612, -14380?\nAnswer: -14114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-71689)\/14365 + (3 - (-3 + 1)). Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 - -88. Suppose 0 = -g*t - 205 + 790. Is 23 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 25*u**2 - 83*u + 5. Determine d(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 6*x - 3. Let p(j) = -4*j + 1. Let m be p(-1). Suppose -3 = m*v - 4*v. Let r(w) = 2*w**2 + 5*w - 2. Determine v*s(c) + 4*r(c).\nAnswer: -c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000143482 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 17 = 3*m - 0, 0 = 5*m + 2*n - 7. Differentiate -5 + 2 + 6 + 6*u**m - 1 with respect to u.\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8\/3)\/s)\/(s*s**(-8)))**(-39) assuming s is positive.\nAnswer: s**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b. Let a(y) = -35*y + 40. Let u(j) = 5*j - 6. Let l(r) = 3*a(r) + 20*u(r). What is f(l(p))?\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + 2*s**3 - 2*s**3 + (26*s - 26*s - 6*s**2)*(-s**2 + 2*s**2 + 2*s**2).\nAnswer: -17*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4400 and 10019680?\nAnswer: 50098400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -134 - -1032201?\nAnswer: 1032023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.77 + 11.7434\nAnswer: 12.5134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446*h - 213*h = 217*h - 89056. What is h rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6420 is divided by 1377.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -127*d**2*f**2 - 9463*d**2*f - 802354*d**2 wrt f?\nAnswer: -254*d**2*f - 9463*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12185128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 5:53 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*x - 5*k, -5*x + 12 = -x - 4*k. Sort x, -5, 4 in descending order.\nAnswer: 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5177 + 9253. What is the remainder when d is divided by 136?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547 greater than 95853\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/5)\/(s\/s**(-2\/19)))\/((s*s**0\/s*s)\/s**7))\/((s\/s**9)\/(s\/s**5))**(-15) assuming s is positive.\nAnswer: s**(-5349\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h + 1. Let s be p(-1). Suppose 4*o - 28 = -s. Suppose 0 = o*l - 28 - 22. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 97636830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k + 417. Let l be o(46). Solve 2*h + 5 = -l*z, h - 8 = 4*z + 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1384*m**2 - 3*m + 11. Let a(v) = -2076*v**2 + 5*v - 16. Let o(p) = -5*a(p) - 7*b(p). Is o(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 2*j - 1319 + 1315, 0 = -5*z + 2*j - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 35698.76l?\nAnswer: 35698760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-6)\/(i**(2\/21)\/i))**(2\/55))**(1\/39))**(1\/4) assuming i is positive.\nAnswer: i**(-107\/90090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - -2030232344?\nAnswer: 2030232431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 o when three letters picked without replacement from {r: 2, v: 2, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 2*h - h. Suppose 5*a + 30 = 2*l + 10, 4*a + 16 = l. Let d(b) = -3*b + l*b + 0*b. What is d(x(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 0 - 12 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 340 and 0.1246.\nAnswer: 42.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25765.\nAnswer: 5, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-10 + 2 + -2 + (-1888 - -1898))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.559 in 2\/7, -2\/45, 2\/19?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5923438*h**2 + 29*h - 255235 wrt h.\nAnswer: -11846876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3332994 = 4*d. Let f be d\/11 + (-16)\/88. Round f to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 235803222?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*w + 1, 3*w = -2*m - 54. Let t = m + 31. Find the third derivative of -8*a**3 - 2*a**3 + t*a**3 + 8*a**2 + 5*a**4 wrt a.\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 - 23. Suppose 5*v - 377 = -x. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01887046418 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 169597.1 to the nearest one thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d = 292. Let m(b) = 28*b + 1. Let h be m(-2). Let k = h + d. Calculate the highest common factor of k and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*v + 6, -z = 4*z + 5*v - 90. Solve z = 5*k + 5*f - 2, -4*k = -f - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*4\/(-6) - (-6)\/9. Suppose 50 - 144 = -t*u. Which is smaller: 48 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5365622 + 14?\nAnswer: 5365636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 - h**3 + 26*h - 113 + 56 in the form x*h + k*h**2 + y + i*h**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 58\/5 - (-26)\/65. Let t = 15 - v. Find the first derivative of -2 - t*h - 2 - 1 + 0 wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 2\/3 (c) 3 (d) 20\/7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 0*d**3 - 4*d**3 + (d - d + 2*d**2)*(-2*d + 3*d + 0*d) + 2*d**3 - 3*d**3 + 3*d**2 - 5*d**2.\nAnswer: -3*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 730431 and -4?\nAnswer: 730435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -362877 by 1428.\nAnswer: -120959\/476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5801 is divided by 2868?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m + 578*i = 575*i + 368, -9 = 3*m + 2*i for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781292384.\nAnswer: 2, 131, 186377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -2*b + 4 - 1\/2*b**2 + 1\/3*b**3. Factor m(k).\nAnswer: (k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*s**2 - 15*s + 37*s**2 - 2*s**3 + 15*s.\nAnswer: -2*s**3 + 78*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.27 + -0.27. Let w = -33 + r. Let p be 4 + -2 + 104\/(-65). Which is the biggest value? (a) 1\/4 (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1150570096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (-22 - -18) - (-19 + 7 - -7)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from unnnhodduuhn.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14145)\/(-150))\/23*-20.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184198197 and 258?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*l + l**2 - 225*l + 110*l)*(20 + 31 - 34*l - 50).\nAnswer: -34*l**3 + 103*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 0. Sort 5, -1, j, 16 in decreasing order.\nAnswer: 16, 5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ziiz when four letters picked without replacement from {z: 2, i: 2, o: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2. Let h(w) = -w**2 - 8*w - 5. Let m be h(-7). Let v be 2\/(m - 4\/3). Let q(t) = 5*t + t - v*t. Determine q(x(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12 + 752\/64 + -59*6\/(-8). Which is greater: z or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 7. Let f be 4\/r*6\/4. Let m = 18 - 88\/5. Which is the nearest to 0.1? (a) -1\/3 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 427083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3 - 30. Calculate the remainder when l is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9435 - 0.0565. What is the nearest to -5\/11 in -4, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + f + 16, -3 = -2*f + 1. Suppose -3*c + 57 = -b, -b = -c + 28 - j. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2861000 to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5*(-3 - 2). Let r(t) = -14*t + 1. Let i(f) = -f**2 + 22*f + 119. Calculate the remainder when r(x) is divided by i(26).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 692*i - 119424. Calculate m(310).\nAnswer: -1004","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*((sqrt(6)\/sqrt(2))**2 + -3 + sqrt(3)*2*5)*-3.\nAnswer: -30*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 46 = 2*q. Suppose -v + q = -48. Suppose -3*n + v = -4*g + 165, 4*g - n = 100. What is the greatest common factor of 96 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 - 1. Let v be q(1). Let s(b) = -5*b**3 - 5*b - 16. Is 28 a factor of s(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(825) - sqrt(825)*2)*-4)\/((sqrt(396) + -2*sqrt(396))*-4))**2.\nAnswer: 25\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -609.01071 + 609. What is j rounded to 4 decimal places?\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -362 - -361. Let x = -2.1 - -2. What is the nearest to r in 2, 3\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -213 by -71.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v + 5*g = -68, 2*v - 36 = 2*g. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*4\/(-3 + -1). Suppose u*g + 1 = 11. Determine l, given that -9*l**2 + 0*l**4 + 2*l - l**4 - g*l**3 + 10*l**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47.832 + 48. Let c = 0.032 + u. Sort -0.1, 0.3, 0.4, c in decreasing order.\nAnswer: 0.4, 0.3, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - 212 - -1*1)\/1. Let j = -28 - z. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 183 + -12b7b7?\nAnswer: -12b634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.4 + 21. Let c = 0.4 + i. Let n = 3.0016 - c. What is n rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -62*w**2 + 136*w. Let s be f(2). Solve h + 3*a = -15 + s, 5*a = 4*h + 32 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 1, y: 2, t: 1, r: 1, h: 1}. What is prob of sequence hr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -430420, -860914, -1291408, -1721902, -2152396?\nAnswer: -2582890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/9, 20, -1 in decreasing order.\nAnswer: 20, 3, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g + 1. Suppose 12*x - 20*x - 128 = 0. Let q be (-1)\/(4\/6 - 1). Let b(c) = -26*c + 4 + 10 - 8. Give q*b(s) + x*z(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + w + 4*w = 5, -5*q - 13 = 3*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + f + 3*f)*(-2*f - f + 7*f)*(1 + 1 + 0) + 8*f**2 - 2*f**2 + f**2 + (2*f + 0*f + 0*f)*(3*f + 0*f + f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1081231 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 375381.94 rounded to the nearest 1000?\nAnswer: 375000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 345\/(-23)*6\/(-9). Suppose -2198 = 3*z - l*z. Is 22 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 1416209406?\nAnswer: 2, 3, 23, 10262387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -397\/3 >= -132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -9.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12531105 or -12531109?\nAnswer: -12531105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**3 - 44*c**2 - 23*c - 11. Let u be n(-11). What is the derivative of 26*o**2 - 20*o**3 + 22*o**3 - u - 4*o**3 wrt o?\nAnswer: -6*o**2 + 52*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 10*u**2 - 8*u + 12. Let h be v(-9). Suppose 60 = -h*w + 8*w. Is 1477\/17 + w\/102 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgx when three letters picked without replacement from {o: 1, g: 2, w: 1, f: 6, x: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15496.256 times -0.4?\nAnswer: 6198.5024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32+-2.82\nAnswer: -34.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7352 by 82.\nAnswer: -3676\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 435343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, j: 1, d: 3, e: 6, r: 2}. What is prob of picking 2 e and 1 d?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156129183?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145.392 + -146. Let m = r + 0.408. What is the nearest to 3 in m, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -664.039 - -669. Let k = -4.585 - s. Let o = k + 0.046. Round o to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 12. Let j be v(-6). Let q(n) = -n**2 - 7*n + 8. List the prime factors of q(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnomyonycbmmo. Give prob of sequence bncm.\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 49.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -ab1b62 + 7?\nAnswer: -ab1b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 52. What is the second biggest value in 0.7, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/169, 65, 0.1, 0.13, 1?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 10. Give b(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(19) + 0) + (sqrt(19) - sqrt(133)\/(sqrt(21)\/sqrt(3))))**2 + 4 + sqrt(76)\/(sqrt(4) - sqrt(4)*-1) + 5.\nAnswer: sqrt(19)\/2 + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*r + 3. Let a be 2 + (1 - 3) + r. Is (0 - (0 + a)) + 25 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -88, 141, 758, 1955, 3924?\n\"Answer: 32*u**3 + 2*u**2 - u - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h - 71*h**3 + 26*h - 8*h.\nAnswer: -71*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 + -1)*4\/((-84)\/(-7)). Suppose s = -2*d + 210, 3*d - 131 = -c*s + 704. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/40 and -43\/4470?\nAnswer: 17880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5221 and -31\/138?\nAnswer: 31326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 4*i**2 - 2*i + 7. Let r(g) = -137*g - 545. Let m be r(-4). Determine t(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9849095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-182)\/(-39)*((-1)\/3)\/(30\/1080)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:31 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 788704 and 394352?\nAnswer: 788704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.6 from -0.173.\nAnswer: -5.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 14 = 4*l, 2*l = 7*d - 6*d. Solve i = -4*w + 8 - 1, 0 = -4*w + d*i + 22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7704 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 180, 5, -24, -3, 0, -31, -1?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31852045 to the nearest integer?\nAnswer: 5644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17318*d*i**3*m - 6*d*i*m + 2*d*i - 3*d*m + 292*i**4*m - 3*i*m + 429*i - 39*m wrt i.\nAnswer: -103908*d*i*m + 3504*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*k - 24 = -2*k, -5*m - 5*k + 25 = 0. Let j(l) = -l + 585. Let g be j(-44). Suppose 0 = m*x - 5*r - 523, -2*x = 3*x + 2*r - g. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 2*t**3\/3 + t**2\/2 + 91*t - 4. What is the tens digit of l(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaadaaaaaaaaaaaaa. Give prob of picking 4 a.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -357*w**5\/2 - 56765*w**4\/2 - 139032*w**3 - 221404*w**2 - 111192*w - 616 = 0.\nAnswer: -154, -2, -1, -2\/357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2095?\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n**2 + 10*n**2 + 2*n**2 - 5*n**2 to j*n**2 + q*n + b and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*n + 3118 + 29251 = 39*n - 3331 for n.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2\/449, -10\/9, -27\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**2. Let v(t) = -162*t**2 + 10*t + 20. Let q(j) = 6156*j**2 - 378*j - 756. Let d(b) = 5*q(b) + 189*v(b). Determine d(k(l)).\nAnswer: 10368*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61 - 68*a**4 + 1 + 29 + 10 with respect to a.\nAnswer: -272*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0734 - 0.9466. What is the nearest to b in -5, -4, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -401 + 397. Let k be v + (3 - -4)*1. Solve 3*j = -4*p + k*p - 15, -5*p + 10 = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 19*a - 18. Let m be o(20). Suppose 4 + 2 = m*w. Solve -w*t + 7 = -2*s, t - s + 3*s = 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 at most 7988\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*l**3 - 17*l**3 + 112*l**3 - 24*l**3 - 11*l**3 - 55*l**3.\nAnswer: -30*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, 350, 988, 1786, 2744, 3862?\nAnswer: 5140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3157271.7 to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10224995.\nAnswer: 5, 11, 23, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1235 (base 6) to base 5.\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6*(-4)\/16)\/((-2)\/(-8)). Let p(d) be the first derivative of -5\/2*d**2 + 5 - a*d. Find the first derivative of p(v) wrt v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 58, 80, 100, 124, 158, 208, 280?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 828265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -413.15 rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 6*u**2 + 16*u + 4. Calculate d(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 59*u + 2 - 23*u - 10*u - 59*u.\nAnswer: -145*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 4. Which is the biggest value? (a) 0.2 (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 9365*s = 9361*s + 13, -2*i - 19 = 3*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcjt when four letters picked without replacement from {e: 1, x: 2, t: 1, k: 3, c: 2, j: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3475543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 + 0*c**3 + 90*c + 87*c + 335 - 174*c + 4*c**3 to the form h + r*c + t*c**3 + j*c**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -190*b + 13753. Calculate y(73).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102259\/55 + -1859. Calculate the common denominator of -101\/110 and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0084013 to 5 dps.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/20 + 33*i**2. Let f(t) = -20*t. What is f(s(b))?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 12:25 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(156) - -4*sqrt(156)*-1))\/(-4*sqrt(48)\/sqrt(4)*-6).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**2 + 2*m**2 - 2*m - m**2 - m - 3 - m**3. Calculate g(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 + 3*h + 25. Let n(l) = -2*l**2 + 3*l + 32. Let z(p) = 4*n(p) - 5*x(p). Let g(j) = -j + 1. What is 3*g(k) - z(k)?\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -622631, -622664, -622713, -622778, -622859?\n\"Answer: -8*y**2 - 9*y - 622614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11520 or 1\/2131?\nAnswer: 1\/2131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 158747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 113*n - 2891. What is j(38)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r + 5. Let i(d) = d**2 - 5*d + 1. Let t be i(r). Is 0 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 21, 4, -4, 48363 in decreasing order.\nAnswer: 48363, 21, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-1)*(14\/(-18))\/(231\/(-99))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67930319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t\/t**(4\/19)))\/t**(4\/3) assuming t is positive.\nAnswer: t**(-178\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -10. Suppose 0 = 3*u + 2*u - 100. Suppose -2*f - 3*f + u = 0. Solve 5*d - i + f*i = 19, 0 = x*i + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 175531025, 175531024, 175531023, 175531022, 175531021, 175531020?\n\"Answer: -p + 175531026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7938 rounded to 2 decimal places?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6443.\nAnswer: 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 2*v - 2*v)*(-3*v**2 - 3*v + 3*v) + 10*v**2 - 10*v**2 - v**3 - 2*v - 1 to m*v**2 + b*v**3 + o + t*v and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*g - 289*g + 170952 = 0. Suppose -g = -9*s + 8789. What are the prime factors of s?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2819874*h + 2819832*h = 0. Suppose 29 = 4*o + 4*f + f, 3*f = 3. Solve h = -o*c + 3*c - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 r, and 2 x when four letters picked without replacement from xjxxjbrx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, i: 8, h: 1, y: 2}. Give prob of sequence ih.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 14. Let v = a - 24. Let j = v - -4. What is j rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 48*k**2 - 135*k - 486.\nAnswer: -3*(k - 9)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76819.8cm to millimeters.\nAnswer: 768198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.8. Let l = -24 - -25. What is the nearest to l in a, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1885 and 520.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 49*h**4\/12 + h**3\/3 + 179*h**2. Let j(u) = -3*u. Give j(l(w)).\nAnswer: -294*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20826 is divided by 20745.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/162*-3*-2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n - 7 = 5*i, 2*i - 3*n + 18 = 0. Let z(u) = -52 + 102 - 53 + 3*u**2 + 3*u**3 - 3*u. Let s(g) = 9*g**3 + 8*g**2 - 8*g - 8. Give i*s(h) + 8*z(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-36) - (-7005)\/15390*-3 - -1.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 783 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 9*y**2 - 4*y - 1. Suppose -3 = -14*d + 123. Give p(d).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (6 - -2) - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/23))\/(r\/(r**(-6\/7)*r)))\/(r\/r**(-4))**(-20) assuming r is positive.\nAnswer: r**(16137\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-2\/5)\/k)\/(k\/(((k*k**(2\/9)\/k)\/k*k*k)\/k))*(k**0)**(-30)*(k**(2\/7))**(-32)\/(k*k*k**(-1)*k*k**(-1\/5)) assuming k is positive.\nAnswer: k**(-3503\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 1. Let o be z(10). Let g = 15 + o. Solve -g*j + 5*j + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 16. Calculate the remainder when 63 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139823 = 139815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20380 and 580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v + 0*v)*(-175 + 344 - 168 + 15*v).\nAnswer: 15*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7598 (base 15) in base 11?\nAnswer: -17780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007441407141 to four decimal places.\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a centimeter in millimeters?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 47661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**5 - 5*z**4 - 2*z**2 - 5. Let s(t) = -t**4 + t**2 - 1. Let k(w) = -a(w) + 5*s(w). Find the third derivative of k(u) wrt u.\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1575) - -6*(0 + sqrt(1575)))*-6)**2.\nAnswer: 2778300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*(-2 + 4). Let g = 9 - l. Let s = -11878 - -11902. What is the greatest common divisor of g and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 4 - 4 + (3 + 1 - 2)*(-s + 2*s + s) - 4*s - s + 2*s - 28061 + 28061 - 569*s.\nAnswer: -570*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*y = 1229591, 0*s - 5*y = -3*s + 737767. Let o = s + 94081. What is o rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 75*q - 66528. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**3 + 2*z**2 - 2*z + 2. Let p(m) = -m**2 + 3 - 3*m - 4*m**3 + m**3 - 3*m**3 + 4*m**2. Give -2*p(x) + 3*q(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(567) + 1 + sqrt(567) + 0 - (0 + -3*sqrt(567))) + -3)**2 + 0.\nAnswer: -180*sqrt(7) + 14179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 3*c - 1. Give z(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6460, -2, 1, 3, -7 in descending order.\nAnswer: 3, 1, -2, -7, -6460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93000 and 3200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266 or -1857\/7?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 581372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -18, -3, 10, 2, -1, 5 in decreasing order.\nAnswer: 11, 10, 5, 2, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 4 = m + 3*t, -3*m + 3*t = -12. Suppose -2*w + 0*w + 10 = 0. Suppose -m*a + q = -566, -w*a + q = -q - 706. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15256*n + 7607*n**3 + 9883*n + 2696*n**3 wrt n?\nAnswer: 61818*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000100010010 + 10111111101010?\nAnswer: 111011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50\/337 + -49765\/6066. Calculate the common denominator of v and 13\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6572501.46 nanoseconds in weeks?\nAnswer: 0.00000001086723125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**2*n**4 + 13*b**2*n**3 + 2*b**2*n - 2*b*n**2 - n**4 + 56 wrt n?\nAnswer: 120*b**2*n + 78*b**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.2 - 58. Let q = 0.05 - -48.95. Let y = q + f. Put 5, 3, y, -0.4 in increasing order.\nAnswer: -0.4, y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 407 (b) 0.3 (c) 13\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 2:07 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 15 = -2*z. Let g(u) = 5*u + 11. Does 6 divide g(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 8*p = -3*p - 40, 5*p + 5 = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/74 and 58\/7.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -623083 + 4369219\/7. Which is smaller: 1090 or t?\nAnswer: 1090","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*n**3*y - 196*n**3 + 5*n**2*y + 5*n**2 - 76*y wrt n.\nAnswer: 264*y - 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7244 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 1\/4*y**4 - 25 + 14*y + 2*y**3 + 1\/2*y**2. Calculate m(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -908 - -914. Solve m*y = 22*y - 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1864.2819 + -1864. What is y rounded to two decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h = -19*h - 75 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10574111719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0182003 rounded to 4 decimal places?\nAnswer: -0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1743*c**4 + c**2 - 1169*c wrt c.\nAnswer: -41832*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 6)*(1057*a - 680*a - 652*a).\nAnswer: -1100*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3}. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1154 = x, 3*x + 254 = 4*p - 678. Let m(h) = h**3 + 3*h**2 - 2. What is the least common multiple of p and m(2)?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -5.8. Which is the third biggest value? (a) -4 (b) q (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/5 + 2*a**3\/3 + 17*a**2. Differentiate r(x) with respect to x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 364 and 1414.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -19. Calculate the lowest common multiple of (-2)\/(-7) - 130\/(-35) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1424*-57\nAnswer: 81168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3869 + -4?\nAnswer: -3873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 14*x - 5. Let n = -2 - 6. Let d be a(n). Let j = 285 + d. What is the highest common divisor of 21 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/2*(-24)\/22. Let y(z) = -2*z**2 + 7*z. Let b(t) = -t**2 + 3*t. Let r(o) = n*y(o) - 14*b(o). Let l(v) = 3*v. What is l(r(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 58. Let a = n - -32. Solve 2 = 2*d - h, -3*d - a*h - 6 = 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-5))\/((27\/(-120))\/3). Let l be 1246\/f + 12\/(-96). Which is bigger: -77 or l?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 26 = -3*f - 7, 0 = -4*j - 5*f - 1. Let c(y) = -y**2 + 7*y - 6. Let h be c(j). Solve -d - 1 - 1 = h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m = 3*o - 270, -3*o + 4*m = -270. Calculate the least common multiple of 60 and o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 45 = 21. Let x(o) = -o**3 - 5*o**2 + 4*o + 15. Does 4 divide x(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 12. Let j be t(9). Let s = 8 - j. Let h(i) = 40*i + 6. List the prime factors of h(s).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r. Let w(y) = 154*y. Let h(d) = 140*b(d) + 5*w(d). What is the tens digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 4, -2721, 3 in decreasing order.\nAnswer: 4, 3, -3, -4, -2721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 6*p + 4*p)*(11*p + 8*p - 9*p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 - 76. Suppose -11*o + 15*o - n = 0. Let u = 27\/5 - 6. What is the nearest to 4\/5 in o, -0.2, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 - t**2 + t - 1. Let x be r(1). Suppose 53*m + 12 = 57*m. Put x, m, 5 in increasing order.\nAnswer: x, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.128 - -0.333. Let d = -2.461 + q. Sort -5, -0.5, 1\/6, d in decreasing order.\nAnswer: 1\/6, -0.5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwgkzw. What is prob of picking 1 w and 2 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153777 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 8:12 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 16*x - 103. Which is greater: x or 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 7, d: 2, g: 2}. Give prob of picking 1 a, 2 j, and 1 g.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -20b4a?\nAnswer: -20b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2230 = 2229. Let n(d) be the first derivative of a + 3*d + 2\/3*d**3 + 0*d**2. What is the first derivative of n(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2494 - -25049\/10. Let x = -2511 - -9080. Let n = x + -65751\/10. What is the common denominator of n and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + (-15 - (-16800)\/936 - 1)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10101111000 (base 2) to base 5\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1607, 3162, 4665, 6116, 7515?\n\"Answer: -26*h**2 + 1633*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*f + f - f)*(-1 + 1 - 5).\nAnswer: -90*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -148572, -148274, -147976?\n\"Answer: 298*k - 148870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = h - 1, h + 3 - 4 = 5*u. Suppose -4*y - y - 225 = u. Let q = -7 - y. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1368546*y**3 + 29*y**2 - 30984*y?\nAnswer: -8211276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.013 and -0.18.\nAnswer: -2.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11 - 4*y + 284*y**2 - 6 - 577*y**2 - 29 + 294*y**2. Calculate n(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m. Suppose m = -2*w + 5*w - 6. Solve -w*p + 3 = -7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(475) + 2*sqrt(475) + sqrt(475) + sqrt(475))*-3 + -3 + (-3*sqrt(475) - sqrt(475) - sqrt(475)))**2.\nAnswer: 600*sqrt(19) + 190009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = 15*u - 64. Let b(l) = 2*l**2 - 8*l + 72. Is 33 a factor of b(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115828 plus -0.17476?\nAnswer: 115827.82524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -6. Let v = -9 - -13. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 2 + 0*t + 2*t**4 - t - 3*t**2 + t**3 + 4*t**2. Let y(a) = -2*a**4 - 2*a**3 - 2*a**2 + 2*a + 2. Let p(z) = -2*k(z) - 3*y(z). Factor p(v).\nAnswer: 2*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f = 3*l - 1586, l - 39 = -4*f - 12 - 100 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3620*l + 82. Let j(f) = -361*f + 8. Let v(s) = -21*j(s) + 2*o(s). Let k(b) = b. Give k(v(d)).\nAnswer: 341*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (414*f - 82 - 828*f + 419*f)*(3 - 2 - 3) as l*f + b and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329615, -660811, -992003, -1323191, -1654375, -1985555, -2316731?\nAnswer: -2647903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*o**4 - 26*o**4 + 53*o**5 + 3 - 16*o + 15*o wrt o.\nAnswer: 1060*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -19, 8, -9, 5 in descending order.\nAnswer: 8, 5, -4, -9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 14*k - 18. What is i(-19)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfo when three letters picked without replacement from awjfo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/6 and -3\/40010.\nAnswer: 120030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 + 6*j**2 + 6*j - 8. Suppose o + 1 + 5 = 3*q, 5*q = 5*o. Let x be f(q). Solve 3*a + 2 = -x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33, 101, 207, 369, 605, 933?\n\"Answer: 3*y**3 + y**2 + 44*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -2\/11, 2, -6, 6176, -3?\nAnswer: 6176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10761 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3713343?\nAnswer: 3, 239, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1.5 (c) -4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1179*-85.59\nAnswer: 100910.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 3*a - 6. Let p(q) = 3*q**2 - 8*q - 17. Suppose -3*h - 8 = -5*h. What is h*p(d) - 11*z(d)?\nAnswer: d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 + 1.1. Let d = 1.03 + j. Let y = 0.03 - d. Put -1\/2, y, 1 in descending order.\nAnswer: 1, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*g**4 + 3216131*g**3 - 3*g + 157976 wrt g.\nAnswer: 372*g**2 + 19296786*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 18869.\nAnswer: 94345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + 1001. Suppose -2*n - 2*n = 5*w - 834, -w = 5*n - d. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/4 + 4*i**3\/3 - i**2\/2 + 4. Let s = 15 - 11. Calculate c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.2 (b) 11025 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 170523257 a multiple of 1799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 284 and 281 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 323123 - 44?\nAnswer: 323024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 3:18 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14649662 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 286 and 8294.\nAnswer: 8294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**4 + 293*r**3 - 11902*r.\nAnswer: -24*r**2 + 1758*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1609*c + 13740 + 10928 = 153*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 34*u**2 + 42*u + 252. Calculate o(-33).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17792*k*z**4 + k*z - 437*k + 2*z**2 - 3*z wrt z.\nAnswer: -427008*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euueugggu. Give prob of picking 2 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*d = -60*d - 48*d - 900 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 times 26169?\nAnswer: 8635.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*o + 128, -5*c + 3*o + 28 = -4*c. Solve 148*g = 158*g + c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.9 - 1.1. Let j = c + 10. Let q = 2.6 + -0.6. Put 2\/19, q, j in descending order.\nAnswer: j, q, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n**2 - 11171*n - 11173*n + 22345*n - 90*n**2.\nAnswer: -64*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = o - 7 + 10, 5*o + 2 = -2*p. Let i be (0\/1 + 0)\/(-1). Let w be i\/(-6)*p\/2. Solve 4*u - 6*u - 8 = w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3936 - 6?\nAnswer: 3930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -6*x - 37, -4*x = -3*k + 94 - 63 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5)\/(2\/95*19)*-8*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*b - 1 + 428*b - 120*b - 145*b.\nAnswer: 40*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 5*i**2 + 0*i**2)*(3*i + 4*i - 6*i)*(47*i - 12 + 12).\nAnswer: 94*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**3 - 2*x**2 + 2*x + 6. Let u(h) = 3203*h**3 - 31*h**2 + 117*h + 91. Let j(y) = -30*f(y) + 2*u(y). What is the third derivative of j(q) wrt q?\nAnswer: 37896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.5 + -20. What is the third smallest value in t, -1\/5, -2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -604 - -42279\/70. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12601.875 to the nearest 100.\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2754 is divided by 2719.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22020 - -3252. What is the highest common factor of 27 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l\/(l**0*l)))\/l*l**(-4))\/(l\/l**(-3\/2)*l**(-3\/17)) assuming l is positive.\nAnswer: l**(-181\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -279. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 1649445248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*g, -3*y - 4 = -2*g + 6*g. Suppose m - g*m = 0. Which is smaller: m or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -97*k**2 - 32*k + 11. Let w(h) = -48*h**2 - 15*h + 5. Calculate 13*w(n) - 6*y(n).\nAnswer: -42*n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 343027126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2857 - 1067. Let i be 15\/60 - r\/(-8). Round i to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 462*u + 232. Let i be y(-3). Which is the nearest to 0? (a) -2\/7 (b) i (c) 1 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/27 and 57\/119.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5554 divided by -5\nAnswer: -5554\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00742804965 rounded to seven decimal places?\nAnswer: -0.007428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 401225528 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 6:29 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c**2 - 2*c + 4. Let b be s(2). Let m = -25 - b. Let n(d) = d**2 - 1. Let t be n(-1). Solve t = o - 5*z + 7, -4*z + 4 - 5 = -m*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0512792 to 3 decimal places.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -58311137 and 5.\nAnswer: -58311132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35257960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1004, -2093, -3182, -4271, -5360, -6449?\n\"Answer: -1089*l + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7 + 1 + 6 - 2*q. Let j(o) = -8*o**2. Give d(j(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.0484 + -131.1704. Let u = -81 + -37. Let k = u - c. Round k to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (105 - 17) - 209.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*-60*(-126)\/(-210).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/9 - (-3 - (-56)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 + -3. Let r(b) = b**3 - 6*b**2 + 4*b + 6. Let a be r(5). Let i be a*(-1)\/6*2. Sort t, -4, i in descending order.\nAnswer: t, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 14*u + 143. Solve 3*d + u + 5 = -2*k, -d + 5*k + 23 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2004974765?\nAnswer: 5, 10151, 39503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 6:15 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 238*m**3 + 2*m**2 - 1. Let b be t(-1). Does 12 divide b\/(-6) - (-2)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5 + r**2 + 2*r + 0 + 2*r. Let q(p) = 2*p**2 + 38*p - 46. Let b be q(-20). Determine d(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-588)\/77*6\/(-8). Let d = v + -719\/66. Calculate the common denominator of -109\/22 and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -520*b**4 - 154*b**2 + 5*b. Let f(y) = -260*y**4 - 77*y**2 + 2*y. Let k(h) = 5*f(h) - 2*w(h). Find the third derivative of k(m) wrt m.\nAnswer: -6240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**2. Let a be (-2*(-9)\/(-6))\/(-1). Let b(c) = 4*c - 3 - 6*c + a. What is k(b(m))?\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7090?\nAnswer: 2, 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 4*s + 2 + 6*s)*(2*s + 0 + 0)*(0 + 3 + 4) + (1 + 2*s - 1)*(13*s - 23*s - 7*s) + 2*s + 2*s**2 - 2*s.\nAnswer: -60*s**2 + 28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 91, 140, 191, 244?\n\"Answer: k**2 + 44*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 3*g + 55 = 69 - 77, -11*o - 176 = -11*g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -875, -1705, -2475, -3179, -3811, -4365, -4835, -5215?\nAnswer: -5499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10231 + 10231. Suppose 8*g = 6*g - 10. Which is the second smallest value? (a) n (b) -0.1 (c) g (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 95 = -89, -2*h - 5*f = 11. Put -8, h, -85 in decreasing order.\nAnswer: h, -8, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12335930 to the power of 1\/2, to the nearest integer?\nAnswer: 3512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29475384 or 29475383?\nAnswer: 29475384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -539*h**5 - 355*h**2 wrt h?\nAnswer: -32340*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 30. What is the tens digit of f(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10755958, 10755968, 10755988, 10756018, 10756058?\nAnswer: 10756108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 7) to base 8\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -aac20 (base 15) in base 7?\nAnswer: -4420206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 7:48 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3*sqrt(343)*-2 + sqrt(343) + sqrt(343) - (-2*(sqrt(343) + 0 + sqrt(343)) + sqrt(343)))**2)*-6.\nAnswer: -249018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.44 - 2.6. Let t = -0.3 + 0.26. Let m = t + f. What is the second biggest value in m, 0, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) -11 (c) -5\/1308 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -12*b**3 - b**2 + 1. Let f be j(-1). Suppose 0 = 4*q - 36 + f. Let u = q + -5. Is -1 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 9*m**2 + 7*m + 10. Let l be d(8). Suppose -l*p + p + 4 = -z, 3*p - 8 = z. Which is the closest to -1\/4? (a) p (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -53, -132, -253, -422?\n\"Answer: -n**3 - 12*n**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 s when four letters picked without replacement from {q: 3, s: 13}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/146767 and 67\/587068.\nAnswer: 587068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 3.419\nAnswer: -0.3419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 32. Suppose 2 = -3*s + w, -4 = f*s + w + 2. Let c be (-8)\/(-20)*s - 0. What is the nearest to c in -2\/5, -5\/4, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + 198 = 49*y. Calculate the remainder when 36 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95b4 (base 14) to base 8.\nAnswer: -62352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -519, -757, -995?\nAnswer: -1233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35496 - 20324. Let d = i - 10637. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4123910 and 5302170.\nAnswer: 37115190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/3)\/(2\/(-10)). Suppose -j - f + k = -3*j, -4*f + 20 = -j. Suppose j = -d + 4*d - 60. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 2.6, -3, 0.6, -2, 0.2 in increasing order.\nAnswer: -67, -3, -2, 0.2, 0.6, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - 2*g**2 - 19*g**3 - 459*g + 457*g - 3535 + 21*g**3 to the form l*g**3 + r*g + d*g**2 + v and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000040495606 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -267, -2602, 0 in decreasing order.\nAnswer: 0, -267, -2602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, o: 3}. Give prob of sequence wo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 321773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8576, 14568, 20548, 26510, 32448, 38356, 44228, 50058?\n\"Answer: -q**3 + 5999*q + 2578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/3*1\/2)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12534, 25018, 37502, 49986?\n\"Answer: 12484*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s - 21*s + 46*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -128 (b) -3\/5 (c) 4 (d) 1\/189\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = u - 5, -4*c = 5*u - 16. Let n(v) = -v**2 - 2*v + 1. Let i(l) = 6*l**2 + 9*l - 5. Let s(h) = -2*i(h) - 11*n(h). Give s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**4 - 10*c**2 + 173?\nAnswer: -12*c**3 - 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = 15*s - 16*s. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893 times -46.6?\nAnswer: -41613.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 45.1. Which is smaller: -5\/8 or i?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986*w - 6136 = -49*w + 525*w + 15794 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + k. Let m(r) be the third derivative of 0*r + 0*r**5 + 0*r**3 + 7*r**2 + 7\/6*r**4 + 0 + 4\/15*r**6. Give 2*m(w) - 56*q(w).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k + 112 = 0. Suppose 0 = 3*r - f - 44, -1 = f - 2. What is the remainder when k is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/3, -0.15.\nAnswer: -2\/3, -0.15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4592\/(-64) + 21)*(-848)\/(-742)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 12, 21, 24, 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -908, 0.4, -1, 5.58?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 156*u**2 + 34137*u - 5915. Give s(-219).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11054?\nAnswer: 2, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -421, -4983, -17379, -41527, -81345, -140751?\n\"Answer: -653*q**3 + q**2 + 6*q + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2057493.\nAnswer: 3, 17, 40343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -0.08, -5, 0.5, -1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -195*v + 2*v**4 - 2*v**2 - 9*v**3 + 393*v - 207*v + 0*v**3 in the form t*v**2 + u + g*v**4 + h*v**3 + y*v and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2660\/1197 + 4\/(-18). Solve 5*r - 8 = r + 4*q, y*r + 2*q = -12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2594991.\nAnswer: 3, 7, 127, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 204 - 222. Let z(i) = 3*i**2 + 46*i + 21. Let k be z(f). What is the highest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16296820 and 640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2146360.\nAnswer: 2, 5, 23, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 90*r = -85*r + 185210, 37026 = k + 3*r. What are the prime factors of k?\nAnswer: 2, 3, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31780815 - -57836815. What is v rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 5:54 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -508 - 591. Let c = 1374 + w. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018318526 to 5 dps.\nAnswer: -0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 16*s - 3. Let j(i) = -24*i + 4. Let c(a) = a - 2. Let h be c(-5). What is h*l(d) - 5*j(d)?\nAnswer: 8*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/3 + (0 - -2). Suppose 1 = 3*m - b. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6290\/(-259) + ((-946)\/(-77) - 12)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 11:40 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.6 - -29. Let g = -8 + o. Put g, 2\/13, 0 in decreasing order.\nAnswer: g, 2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - 44*j + 43. Let q be t(21). Let n be (8 - (-30)\/(-3))\/(12 + q). Put 11, -1, n in descending order.\nAnswer: 11, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -38995.\nAnswer: -38999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 + -260. Let l be 3 - (f + 5 - -1). Let n = 154 - l. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)\/(a*a*a*((a**(1\/8)*a)\/a)\/a*a*a*a))\/(a**1)**(1\/69))\/(a**(-3\/2)\/a**(1\/4)*(a*(a\/(a**0*a))\/a)**22) assuming a is positive.\nAnswer: a**(-3527\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10636 is divided by 1181.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -144.38 - -144.78. Is -1129 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 24*x + 328. Let p(f) = -17*f - 219. Let n(z) = -8*p(z) - 5*t(z). Is 13 a factor of n(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1335 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 6*n + 19. Let h be z(-8). Sort -4, h, 5, -8.\nAnswer: -8, -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, 35, 135, 327, 641?\n\"Answer: 5*h**3 + h**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10*w**2 + 3. Let a(s) = 9*s**2 - 2. Suppose 2*t + 257 = -3*p + 4*t, -5*p - 431 = -2*t. Let l = p - -85. Give l*q(k) - 3*a(k).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 5*l**2 + 5*l + 2. Let k be n(-3). Let c be (-2 - -3)\/(3\/9). Find the third derivative of 5*w**3 + 2*w**2 - k*w**c + 3*w**4 wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 3*r - 6. Let q be 0\/((-1)\/(-3 + 2)). Suppose -3*y + 8 + 4 = q. Let s(n) = -n**2. Let u(h) = y*s(h) - a(h). Factor u(k).\nAnswer: -3*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -37, 0, 4 in descending order.\nAnswer: 19, 4, 0, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 954925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*h - 427 - 665, 0 = 3*i + 2*h + 652. Let g = -223 - i. Which is bigger: g or -25\/12?\nAnswer: -25\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2090 divided by -1\nAnswer: -2090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*o + 11*o = 23*o + 159296. What is the remainder when o is divided by 210?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 357. Put x, 2, -3, 3\/5 in increasing order.\nAnswer: x, -3, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15 = 0, -2*q - q = 4*h - 108057. What is the greatest common divisor of 21 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/1232*7*16\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - -4*2\/(-4). Let v = j - -3. Suppose 2*f = -3*u - 0*u + 14, -3*f + 14 = u. Solve v*q = f*z - 12, z = -0 + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/7 - 1192*n.\nAnswer: -4*n*(n + 2086)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7375.9 - -7376. Which is the nearest to u? (a) -1\/2 (b) 3 (c) 0.074\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 251 (base 14) to base 6\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 1 + -1 - (-401 + 396) - -12.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:42 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -60728*j + 4979696. What is y(82)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119619 is divided by 5287.\nAnswer: 3305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Suppose 5*t - 15 = -3*k + 5*k, -2*k = f*t + 6. Solve -t = 4*a + 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - ((1 - (7 + -48)) + 20)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2390 is divided by 93?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-29)\/58?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2. Suppose 10*n = -226 - 194. Let h(q) = -8*q**2. Give n*g(m) + 6*h(m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/33 in -3, 5, 0.1, -0.1, 127?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*d + 74 - 6. Solve -k + 3*r = -14 - 4, r = -d*k + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58, -63, -70, -79, -90?\n\"Answer: -q**2 - 2*q - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 791 and -0.3.\nAnswer: -237.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**5\/10 + 43*k**4\/2 - 29*k**3 - 43*k**2 + 173*k\/2 - 10905. Solve r(f) = 0 for f.\nAnswer: -173, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2) + 1844\/8. Suppose -m + 1 = -3*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 1. Let l(f) = 8*f**2 + f - 8. Give 35*c(x) - 5*l(x).\nAnswer: -5*x**2 - 5*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z\/(z\/(z\/z**(-4)))*z*z)))\/z)\/(z**(-6)\/z*z)*(z*z**(1\/2))**(1\/10))\/((z**0)**(-2\/61)\/(((z*z**(-5)*z*z)\/z*z)\/z**(-9))) assuming z is positive.\nAnswer: z**(383\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {a: 3, i: 2, n: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97 by 447741.\nAnswer: 97\/447741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.135332864 to three decimal places.\nAnswer: 13.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18609548)\/(-12))\/((-2)\/6). Let h = s - -10758161. Suppose -1605774 = p - h. What is p rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 4:10 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -145 divided by -29\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78715600*p*t + 4*p - 452813147*t with respect to p.\nAnswer: -78715600*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83\/(43824\/(-2662)) + (3\/18)\/((-4)\/(-9)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 3 = -3*k + 2*b, -5*k + 13 = 4*b. Suppose 9*x - 12 = k*x. Suppose -4*n**2 + n**2 - 5 - n**x - 11*n - 2*n**2 - 2*n**2 = 0. Calculate n.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*q + 723, q = -4*g + 3*g + 344. Suppose -5*t = -p - 840, -t + 3*p + g = t. What are the prime factors of t?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 830112343 to the power of 1\/3, to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 328*t - 2040. Determine u(7).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwihowuhhoxw. Give prob of sequence xi.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5284.\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42536986, 85073968, 127610950?\nAnswer: 170147932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -24*(-5)\/80*1*746?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -9\/20*n**5 + 3\/2*n**3 + 3*n**2 + 3*n + 0 - 1\/2*n**4. Factor x(h).\nAnswer: -3*(h - 1)*(h + 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -112 + 41 + 49*o**3 - 46*o**2 + 58*o**2 - 19*o**2 - 348 with respect to o.\nAnswer: 147*o**2 - 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17531 times 0.05\nAnswer: -0.0087655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 112966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -126650 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*w + w. Let j(l) = 5*l - 1. Let g(o) be the third derivative of 5*o**4\/12 - o**3\/3 - 37*o**2. Let q(k) = -2*g(k) + 5*j(k). Determine q(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660813743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(85\/(-68))*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3581\/6180 - 2\/515. What is the common denominator of r and -2 + (-7)\/196*(-376)\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 0*w**2 - 2*w**2)*(-1 - 2*w + 1) + 2*w**3 - w**3 + 4*w**3 + 0 + 0 - w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t - 130. Let v be u(-29). Let n = -8799 - -23104. Suppose -g - f = -n, 5*f - v = 2*f. Round g to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*k**2 + 20 - 211 - 16*k**2)*(-k**2 + 3*k**2 + 0*k**2).\nAnswer: -6*k**4 - 382*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 354*a**2 - 15262*a + 142974.\nAnswer: -2*(a - 117)*(a - 47)*(a - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8519997691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: 0.049*-10.143\nAnswer: -0.497007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*v + 11, 0 = 3*t + 3*v - 4*v - 5. Let w = 4 - t. Find the third derivative of -5*p**3 - p**2 + 3*p**3 + 0*p**3 + w*p**3 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((((-164160)\/27)\/38)\/(-14*2\/2))\/2\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27726*w**4 - 31637*w**2 wrt w?\nAnswer: -665424*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 9*a + 21. Suppose a*x + 16 = -x. Suppose 2*j = k - 2*j + 11, -5*k + 20 = 5*j. What is the smallest value in x, k, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) 1 (b) -1 (c) 4 (d) 466\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 102.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 + -2575)\/35 - -50.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1260 + 101*b**2 + 98*b**2 + 98*b**2 - 201*b + 96*b**2 - 396*b**2 = 0. What is b?\nAnswer: -60, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 3*d + 13. Let g be h(-5). Suppose -g*x = -0*x + 18444. Let n = -9078 - x. Round n to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 7. Let i be l(0). Let t be (-9)\/i + 4\/14. What is the units digit of (-3 - 1)\/(t\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f + 14. Determine a(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 87*w**2 + 5458*w + 1664. Determine o(-42).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 27, 62, 131, 246, 419, 662?\n\"Answer: 2*g**3 - g**2 + 2*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 1522 - 7874 = 0. What is the greatest common divisor of 87 and f?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 46447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1144 - 1129 + x**2 + 6*x + 11*x + 3*x as p*x**2 + a*x + m and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, 14, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00041714 to five decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 859 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/5 - 16\/15. What is the nearest to 2 in w, 1\/10, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 7*o = -26 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46000 + -3725968\/81. What is the common denominator of 17\/1737 and g?\nAnswer: 15633","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-10))\/((-66)\/110) - (-27)\/(-15).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41, -238, -587, -1100, -1789, -2666, -3743?\n\"Answer: -2*q**3 - 64*q**2 + 9*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*r**2 - 13*r**2 + 46*r**2 + 139*r**2 - 255*r**2.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 1)*(-6 + 2 + 2)*(-3 - 1 - 4)*(-4*q - 11*q + 2*q).\nAnswer: -832*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*m + 5*z, -2*m + 2*z - 10 = -4. Solve m*i + 1 = -5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -971 + 12611\/13. Let d = 41\/26 - l. What is the nearest to 0.1 in 4.7, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 - 2*d - 43. Suppose 0 = -b + 6*z - 9*z + 13, b = 2*z + 8. List the prime factors of j(b).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0 (b) 3 (c) -32 (d) 387.16 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iio when three letters picked without replacement from {i: 2, d: 2, o: 10}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d = 3*d + 11514. Let m = -303 - d. Is m greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 5:43 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-12) + 532\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**3 + 3*r**2 + r - 1. Suppose 5*x = -2*s - 21, -5*x = -55*s + 52*s + 6. Let h(p) = p**3 - p**2 - p. Give x*h(k) - o(k).\nAnswer: k**3 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1853 + -1773. What is the lowest common multiple of n and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u + 5*u + 16*u)*(-5844 - 759*u + 5844) + 2 - 2*u**2 - 2.\nAnswer: -9869*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*j**3 + 104*j**2 - 104*j**2 + (2*j**2 + 0*j + 0*j)*(0*j - j - j) + 0*j + 3*j**3 + 0*j.\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v + 19. What is d(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 881.54 and 0.885.\nAnswer: 780.1629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80872 and 88?\nAnswer: 80872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.512 - 193.488. Is r at least as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**4 - 25*m**3 - 85*m**2 + 105*m = 0.\nAnswer: -3, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 281 + 108 + (-11)\/(33\/(-18)). Let u = 37 + -226. Let g = z + u. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 2*m + 280*m**2 + 27 - 8 + 0 in the form l*m + q*m**2 + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from mhtmttmcmmhn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + -443?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 15 = -6*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -g + 2398 - 44, 2*g - 4688 = -4*b. Is g a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.901 - -0.62. Let z = s - -0.181. Which is the closest to z? (a) 3\/8 (b) 5 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 256 - 248. Let r = -371 + 386. Solve -r = y*q - 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 42*f + 44. Is 16 a factor of p(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 581.9 - 629.12. Round g to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2288, -2268, -2248, -2228, -2208, -2188?\n\"Answer: 20*m - 2308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*z**3 - 77688523*j*z**2 + 376175225*z**3 wrt j.\nAnswer: -2*z**3 - 77688523*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 1.695?\nAnswer: -6.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47217491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*r = 217*r + 273 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -93943238675 and -0.03.\nAnswer: -93943238675.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 56?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j - 5*u = 8, -3*j = -3*u - 12. Find the third derivative of -43*g**j - 3*g**2 - g**2 + 46*g**4 - g**2 wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63242669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 20*z + 8. Let f(k) = k - 1. What is -3*f(c) - r(c)?\nAnswer: -23*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*w + 21, -w + 17 = 3*h - 0*h. Suppose h*g - 4471 = -12*g. What is the hundreds digit of g\/2 + (-22)\/(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4284534?\nAnswer: 2, 3, 461, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -4445635642?\nAnswer: -4445635641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**4 - 73*v - 472 + 78*v + 465 + v**3 to o*v**4 + u*v**2 + p + f*v**3 + t*v and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12071*k**3*z - 58*k**3 - 2*k**2*z - 519*k - 2*z with respect to z.\nAnswer: -12071*k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c + 3*l - 60, 6 = -3*l. Let h be (-4)\/(-6) - (-2830)\/30. Let s = h - 27. Calculate the smallest common multiple of s and c.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {i: 5, p: 4, t: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -127367 (base 11) in base 12?\nAnswer: -9795a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132798*w**2 + 4 + 133239*w**2 + 232*w**4 - 5 wrt w?\nAnswer: 5568*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) + 5\/3. Let n = 9 + t. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let g(x) = -4 - x**3 + 0 + 0*x**2 - l*x**2 - 3*x + 2. Let b be g(-4). Solve b - 16 = -2*m + 4*t, t + 4 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249154 by 150.\nAnswer: -124577\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -27*r. Let w(a) be the first derivative of 2*a**2 - 1106. What is i(w(h))?\nAnswer: -108*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109899, -109898, -109893, -109884?\nAnswer: -109871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -1\/52, 111, 3\/5, 3, -0.1.\nAnswer: -0.1, -1\/52, 3\/5, 3, 84, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((564\/(-40))\/(-47))\/(153\/(-1445)).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 905, 909, 915, 923, 933, 945?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1130 (base 5) to base 3\nAnswer: 20010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 + (-171)\/(2061234\/(-1349852)).\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**2 - 10*r**2 - 2*r**2)*(-5*r - 12*r - 3*r) in the form n + d*r + g*r**2 + h*r**3 and give h.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4473405.\nAnswer: 3, 5, 99409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 7)*(k - 2 + 2)*(-3 + 4 + 1) + (k - 17*k - 27*k)*(10 + 1 - 3) as j + y*k and give y.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 102835121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 5 + 5 - 11*u**2 to h + a*u**2 + l*u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -14. Let b(v) = 4*v - 2 - v - 3*v + 3*v. Let s(m) = m. Let o(a) = b(a) - 2*s(a). What is o(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2841688.\nAnswer: 2, 355211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -18088 and -4.\nAnswer: -18092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 15 = -6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 261, 629, 1021, 1449, 1925, 2461, 3069?\n\"Answer: 2*s**3 + 354*s - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7131 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1375 + 341 + 339 + 347 + 12*n + 348.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0 + 0)*(3*m**2 + 8 + 29 - 4*m**2)*(1 + 2*m**2 - 1).\nAnswer: -4*m**5 + 148*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {v: 2, w: 9, l: 1, u: 4, b: 1}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -526.7 - -635. Let j = -123 + q. What is j rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29.713 - -29.643085. Let l = a - -0.07. What is l rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2)*-2 - (sqrt(4)\/(sqrt(12)\/sqrt(6)) - sqrt(2)).\nAnswer: -4 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q + 2*q)*(15*q**2 + 32*q - 32*q).\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3}. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 867 + -829. Suppose h + 1776 = m*h. Calculate the smallest common multiple of 22 and h.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4295)\/(-13744))\/(-3 + 10\/4)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-12)\/(p*p\/(p\/p**(-2\/39))) assuming p is positive.\nAnswer: p**(-505\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, -2, 2, -7, -27, 1 in decreasing order.\nAnswer: 2, 1, -2, -7, -27, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5445 divided by -16?\nAnswer: -5445\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - r + 5*c + 332, -4*r + 3*c = -1277. What is r rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -100, -225, -400?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -0.54. Let n = c + -0.16. Is -1 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 3570?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 - -151.6. What is the biggest value in f, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2784 and 522?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53853*u**3 + 265220?\nAnswer: -161559*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 7*r**3 + 0*r - 4*r**3 - 2*r + (-2 + 0 + 0)*(r**3 - 2*r**3 - r**3) + 2*r**2 - r**3 - 2*r**2 + 0*r**3 + 4*r**3 - 2*r**3.\nAnswer: 8*r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15846 and 5814.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13804 + -13804.05. Which is the closest to -4? (a) 5 (b) h (c) -133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 98 = -7. Let i = 37 - j. Solve 0*n = -i*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 17 + 27 = 0. What is the smallest common multiple of n and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110298?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 866569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132874056 + 251*t**2 + 132874056.\nAnswer: 251*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18ce1 (base 15) to base 8\nAnswer: 235230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 4*q + 7. Calculate w(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4240114022 (base 5) in base 7?\nAnswer: 135511112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -4\/35, 1553, 3\/8 in decreasing order.\nAnswer: 1553, 3\/8, -4\/35, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2187, -8752, -19693, -35010?\nAnswer: -54703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u + 94*u + 52*u = -10*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18536399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2 = 4*z + 2, -5*a + 5 = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1077092 to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2818072 and 265144?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -283*l + 278*l - b + 53, 5*b = 2*l - 36 + 4 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 275 + -339.1. Let d = l - -44. Round d to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2933353\nAnswer: -1\/2933353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 6:30 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -12.813 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1963565 divided by 392713.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 2. Suppose 30 = q*h - 2*h. Let n be 308\/26 + -2 + 2\/13. Is n bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 132144 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {t: 2, n: 3, i: 1, b: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 604241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768 is divided by 96.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -650, -0.5, -3, 2\/28745?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/9)\/(1 - (-4)\/(-3)). Let j be 0*-1*((-10)\/(-5))\/h. Solve j*c - 5 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 9:20 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(0*w - 3*w + 7*w) + 5*w - 3*w + 0 + 2 + 119 - 10 - 81 + w.\nAnswer: -5*w + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002 - 2012001002?\nAnswer: -2011222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*v + 366, 11*b + 2*b + v = -1628. Put b, 4, -4 in increasing order.\nAnswer: b, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7))**(12\/11))**(-18) assuming a is positive.\nAnswer: a**(-432\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15646692 rounded to four decimal places?\nAnswer: -0.1565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(252)*-1 - (-4*(sqrt(7) + sqrt(112)) + sqrt(56)\/(-2*sqrt(8))))*4)**2 + 4)*5.\nAnswer: 591520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1706196 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 6*c + c + 11 = 0 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2782 - 3218 = -6*r. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 2*g - 46 + 86 - 48, 5*r + 10 = -5*g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**2 - 1735*o + 1730 = 0. Calculate o.\nAnswer: 1, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - d. Let n = 38 + -35. Let w(a) = -6*a**2. Let c(g) = n*x(g) + w(g). Find o such that c(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + -1 - (3 + -4 - 25).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*l = 508, -3*l - 149 + 681 = 5*p. Let i be (-6*(-1)\/14)\/(195\/910). Suppose p + 118 = i*o. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220\/(-20) - ((-70)\/25)\/7*(-145)\/(-58)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292\/2*1\/(-8)*(-271)\/((-63685)\/(-940)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34548805 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 2*c**2 - 1\/12*c**4 + 0 + 17\/6*c**3 + 8*c. Is w(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)\/(l*l**(-1\/10)\/l*l))\/(l**(2\/11)\/l)**(2\/3))**(3\/2) assuming l is positive.\nAnswer: l**(-1107\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47606 (base 8) to base 13.\nAnswer: -9360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yhqhuqbyp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-1 - (1 + -5)). Factor -7*n**3 - n**l - 3*n**2 + 10*n**3 - 4*n + 5*n.\nAnswer: -n*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*2.8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1061331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-3\/4)\/t*t)\/t**(-5)*(t\/((t*t*t**(2\/5))\/t))\/(t**5\/t) assuming t is positive.\nAnswer: t**(37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4\/5 + 132*h**3\/5 - 357*h**2\/5 - 492*h\/5 = 0. Calculate h.\nAnswer: -1, 0, 4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 923 take away -2?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1486\/3)\/(48\/(-27) - -2)?\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40932224 divided by -1?\nAnswer: 40932224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 27 = -g - 0*b, -1 = b. Suppose 4*t - g = -5*m, t + t - 10 = -2*m. Solve 0 = m*n + n - i - 26, 3*n + 5*i = 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 99\/2*s**2 - 42*s + 5*s**3 - 1. Factor o(t).\nAnswer: 3*(t + 7)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m**2 + 2*m - 4. Let f = -291 - -291. Let n(q) = -6 + 4 + q + 1 - q**2 + f. Give g(c) - 2*n(c).\nAnswer: -4*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30.1 and 0.58?\nAnswer: -17.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3984 and 128733?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75019 + 161130. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**5 + 20*a**4 + 24*a**3 - 3*a**2 - 3. Let m(h) = -2*h**5 - 60*h**4 - 72*h**3 + 10*h**2 + 10. Let c(l) = 3*m(l) + 10*q(l). Factor c(t).\nAnswer: 4*t**3*(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 4*s - 2070. Is s\/(-8) - 9\/12 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(3\/(-2)) - 0. Suppose 2 = -r*z - j - j, 0 = 2*z - 4*j - 16. Suppose -33 + 7 = -z*o. What is the remainder when 50 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**4\/8 - l**3\/3 + 86*l**2 + 2. Let x = -2 + 4. Give a(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6) + (20 - 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-736)\/(-8 - -4))\/2. Let h(c) = -85*c + 176*c - z*c. Let w(y) = -y + 1. Let r(t) = -37*t**2 - 2*t + 2. Let o(m) = -r(m) + 2*w(m). Give o(h(b)).\nAnswer: 37*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8\/(o\/o**8)*(o\/((o**(-2\/9)*o)\/o))\/o**(-4))\/((o\/(o**(-1\/14)*o)*o**(-1\/5))\/(o**4\/(o*o**(-5\/6)))) assuming o is positive.\nAnswer: o**(7618\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -502?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - p - 956 = 0, 4*p = p. Let s = l + -143. Suppose -g = 3*g - s. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1561 = -6*a. Suppose -a = 7*p - 14*p. What are the prime factors of p?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -285\/5203 + 1\/121. Let h = 9.07 + -0.07. Let n = h + -6. Which is the smallest value? (a) n (b) x (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 37*p**2 + p - 2. Let j(b) = -b**2 - b + 2. What is 2*j(u) + s(u)?\nAnswer: 35*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2 - -4) + -2. Suppose h + u = 17. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19381 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**7\/105 - r**5\/3 - 3*r**4\/8 + r**3\/6 - r**2 - 7*r. Find the second derivative of y(a) wrt a.\nAnswer: -24*a**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4699 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 - 2717*d\/3 + 2716\/3.\nAnswer: (d - 2716)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/28)\/(1632\/(-2856)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3\/(-5))*(-390)\/(-260)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*k**2 + 15*k**2 - 35*k**2)*(31 + 31 - 110*k - 61) as i*k**2 + v*k + p + m*k**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1467072854?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2 - -3) + -2 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 21996*s - 219975. Calculate r(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3. Suppose 0 = -j - o*j + 1. Let z be -3*6\/21*14\/(-4). Solve j = x - z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/6, -129\/8, -1, 1.315, -2\/3?\nAnswer: 1.315","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/108*4\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - -8. Does 25 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 760 divide 10127000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(539)*-4 + -2 + 2.\nAnswer: -56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - x + 0*x)*(-x + 4*x - 5*x)*(-1750 + 2886 - 1899) as i*x + t*x**2 + b and give t.\nAnswer: 1526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-51)\/(-30)) + (-658)\/1260?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 67. Let i be (u\/(-4))\/((-5)\/(-4)). Solve -i*x - 3 - 1 = 0, -2*s + 4*x = -16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3752451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5758*o**5 + 178*o + 7 wrt o?\nAnswer: 115160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 26 = -5*g + 3*g, 20 = 5*d + 5*g. Calculate the highest common factor of 174 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 2 - 2 + (m - 5*m + 3*m)*(2 + 3 - 3) - 2*m + 3*m - 2*m + (6 - 23 - 10)*(-5 - 2 - 4)*(6*m - 4 + 4) in the form s*m + j and give s.\nAnswer: 1780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28560.11 days to nanoseconds.\nAnswer: 2467593504000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2385648*f**3 + f**2 + 68591*f wrt f?\nAnswer: 14313888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1792567320?\nAnswer: 2, 3, 5, 131, 114031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 164\/345 - -24383\/23460. Suppose -5*x = 10, -3*m - 5*x = -7*m + 2. What is the common denominator of (-57)\/m*10\/42 and b?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6}. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*t**3*y*z**3 - 144*t**3*y*z**2 - 2*t**3*y + 47*t**3*z**3 - 4*t**2*y - 26*t*z**3 + y*z**2 + z**2 wrt z?\nAnswer: 78*t**3*y + 282*t**3 - 156*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -200 and -0.11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 7*m + 3. Suppose -4*c + 5*d - 4*d - 8 = 0, -3*c + 17 = 5*d. Let a be (c - 2) + (9 - 2). What is r(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f + 120 = -15*f. Let a(w) = 26*w**3 - 2*w**2 + 1. Let b be a(1). Suppose -5*t - 3*q + 25 = 2*q, b = -t + 5*q. Sort t, f, -5.\nAnswer: -5, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -62131502?\nAnswer: -62131507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21125 - 21009. Solve 83*k - p + 33 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 4. Suppose -5*c + h = z, 4*z + 5 + 3 = 0. Let m(s) = -3*s. Let j(q) = q - 1. Suppose 7 - 8 = -x. What is c*j(g) + x*m(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24 + (22 - 13))*(-4)\/(-6). What is the greatest common factor of b and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 7*n + 1. Let l be r(8). Solve 3*y - v - l = 0, -2 = y - 2*v - 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 23177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjttjfttuuhr. Give prob of picking 1 t, 1 f, and 1 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 486844 or 486845?\nAnswer: 486844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -81*s - 9*s**3 + 3 + 3\/4*s**4 + 81\/2*s**2. Suppose y(b) = 0. Calculate b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312929747 rounded to the nearest one hundred thousand?\nAnswer: 312900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-33)*-7)\/((-852)\/781).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96121964 to the power of 1\/3, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.97446ml to litres.\nAnswer: 0.08797446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 225, 446, 665, 882, 1097, 1310, 1521?\n\"Answer: -h**2 + 224*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621978307.\nAnswer: 47, 109, 167, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**3 - 5*x**3 - 6*x**3)*(5*x + x - 2*x) + (2*x**3 + 2*x**3 - 6*x**3)*(3*x + x - 2*x) as u*x**3 + i*x**4 + c + h*x + y*x**2 and give i.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/5 of a millennium?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 1, p: 1, w: 2, v: 1, h: 2}. What is prob of picking 1 p and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 7:37 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 20*p**2 - 42*p - 1. Let x be v(-18). Let w = x + -63. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -47. Let n = -2157608.999996 + 2157628. Let a = n + j. What is a rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*p = 5, 5*p = -4*i + 4*p - 2. Let v(r) = r**2 + r. Let y be v(i). Solve 3 = u - x - y*x, 0 = x + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 3*b = -3*u - 54, -u + b + 10 = 0. Solve a + u = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.1563641 + -52141.\nAnswer: -52136.8436359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -j, 0 = -0*d - 5*d - 3*j - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.960252 weeks in hours?\nAnswer: 329.322336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2282 and 8005419?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69 - -62) + 3 + -1 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -366\/7 - -711\/14. What is the second biggest value in -0.8, n, -12\/11, -1\/2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 20 = 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - 63 - (6 + 4).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/11, -2\/15, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*b + 18*b + 768 = -6*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9251.975 litres?\nAnswer: 9251975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 624484036 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-7) + 0 + 7\/1. Suppose -5*k = f - 144. Calculate the least common multiple of k and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003401784 rounded to four dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129376?\nAnswer: 2, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g - 2, g + 22 = -2*p. Let c(t) = -t**2 - 10*t + 3. Let h be c(p). What is the remainder when 2 - (-36 - h\/(-1)) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 4*a**2 + 4 + 4*a + 0 - 6*a**2. Let y = 7 - 10. What is the units digit of v(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 4*t + 9 + 31, 20 = 2*j - 5*t. Let c(q) = q**2 + 23*q + 15. Let r be c(-23). Let d(b) = -48*b + r*b + 19*b + 3 + j*b. Determine d(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.2, -4\/31, 4, -6\/5, 64 in ascending order.\nAnswer: -5.2, -6\/5, -4\/31, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -28e0ea8?\nAnswer: -28e0ea8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40271235 a multiple of 721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*h - 80. Let u(v) = -v**2 + 9*v - 3. Give u(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0066843*-2\nAnswer: -0.0133686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u. Let i(g) be the third derivative of g**5\/60 - 59*g**3 + 136*g**2. Give w(i(h)).\nAnswer: 2*h**2 - 708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**3 + 92*t**2 - 2532*t wrt t?\nAnswer: -30*t + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -72995.30584 and 29.97.\nAnswer: -72965.33584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -0.033, -5, -1\/3, -2 in descending order.\nAnswer: 2\/21, -0.033, -1\/3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1111139 or -1111141?\nAnswer: -1111141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*4 + (8 - (-6 + 15)). Is 1\/2 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(1*sqrt(91) - sqrt(91)))\/(sqrt(28)\/sqrt(4)*-4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 681667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1819.932905 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -63*n**4\/4 - 4*n**3\/3 + 3*n**2\/2 + 4*n + 23. List the prime factors of i(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118069.\nAnswer: 7, 101, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 1414*m + 182 + 1410*m)*(m**3 - 2*m**3 + 0*m**3).\nAnswer: 4*m**4 - 232*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286141, 286086, 286033, 285982, 285933, 285886, 285841?\nAnswer: 285798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2 - 185426754*m - 185426756 = 0.\nAnswer: -1, 92713378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -r + 185. Suppose -34212*h + 34202*h = -330. Suppose r*a = h*a - 928000. Round a to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72707586.\nAnswer: 2, 3, 7, 31, 55843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21612 + -86015\/4. Let f = -109 + a. Let j = -0.9 + 1. What is the third biggest value in 2, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 2281, 2, 1, 14, 443 in descending order.\nAnswer: 2281, 443, 14, 5, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y - 2*q, -y = y + 3*q - 23. Suppose -2*l - 15 = 4*k - y*l, 2*l - 6 = -5*k. Suppose -3*a - 2*a + 25 = 0. Solve k*z = -z - a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245956?\nAnswer: 2, 17, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = l - 4. Let b be 94 + -1*2\/l. Let v be (-1)\/(-3) - (-175)\/15. Calculate the highest common factor of b and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -1\/504*r**8 - 1\/180*r**6 + 0*r**5 - 16*r**2 - 2\/315*r**7 + 0*r**3 + 0*r**4 + 0*r + 0. Determine p, given that i(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.291 * -5584.\nAnswer: -1624.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*k = -91*k + 2337555. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (532\/196 - 1)*(-49)\/63?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 71, -27, -127, -229, -333, -439?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -6*g - 42 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/(-54) - (-552965)\/127185?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b033 + -20ab?\nAnswer: -31122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s. Let z(g) = -g**2 - 3*g + 3. Let f(h) = 3*h**2 + 8*h - 8. Let o(r) = 3*f(r) + 8*z(r). Determine o(l(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 + -5.04. Let p = w + 9. Let v = p + -4.5. Which is the third smallest value? (a) v (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 26 = 25. Let t be (-3)\/((j\/(-14))\/((-3)\/18)). Let p = -13 - -18. Which is bigger: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**14)\/n)\/n**(-15)*n**(-2\/3)*n**(-5) assuming n is positive.\nAnswer: n**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100110010011000001 + -1?\nAnswer: -10100110010011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 4, 0, -2.4, -18\/101, 5 in increasing order.\nAnswer: -2.4, -18\/101, 0, 4\/9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 5 (c) -21\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 7 - (3 - 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9)*-3 + 1. Find the second derivative of 4*m**3 - 3*m**3 + m**o + m wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1136 and 27264?\nAnswer: 27264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 2*2 - 418935\/(-198). Let s = h + -2114. What is the common denominator of s and -19\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.6 - -2. Let k = -1\/4 + 0. What is the biggest value in 0.5, c, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4092590 rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28072470*l**4 - 208760469*l**2?\nAnswer: -673739280*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 196, 1\/4, -0.9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 227204196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + n**2 - 1. Let u be p(-2). Let f be (-1)\/u + (-96)\/30. Is (6\/4)\/(f\/(-28)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.189431 - 193721.4.\nAnswer: -193721.210569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 = -2*d. Suppose d*v = v + 4. Solve -2*h + 0*m = -3*m + 25, 0 = -v*h + 4*m - 40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 806\/372 - (-15)\/(-9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*t - 9, -4*a + 0 = -t + 9. Let q be (-4 - (-1 + a))\/(-1). What is the first derivative of -q - 3 + 4 - 7 - 8*n**2 wrt n?\nAnswer: -16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -160, -151, -130, -91, -28, 65?\n\"Answer: z**3 + 2*z - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6676468 and 4360?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6137 + -3?\nAnswer: 6134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*2*2. Let x be (-20)\/(-6) - 6\/18. What are the prime factors of -1 + x + n - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.3175l in millilitres?\nAnswer: 105317.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5991, -5990, -5989, -5988, -5987, -5986?\nAnswer: -5985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*s + 16 = 0, 2*c + 41 = s + 52 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5*h**2 - 4)*(-5*h**2 + 5*h**2 - 2*h**2).\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 20 + 8 = 0. Let s = -6.4 + 6. Which is the third biggest value? (a) 0.3 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hntaatanntnnnhthaah. What is prob of picking 1 a and 2 t?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1804 + 953 + 11*s + 914.\nAnswer: 11*s + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 - 67. Let v = 61 - q. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqyc when four letters picked without replacement from hhhhhyhqnhcyhchhqhh.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -253591298*u*y - u - 732906836*y wrt u?\nAnswer: -253591298*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 14 - -20 - 7 - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1071, 1080, 1101, 1140, 1203?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -1177*k**4\/6 - 8579*k**3\/6 + 3023*k**2. What is the first derivative of f(q) wrt q?\nAnswer: -4708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382333329?\nAnswer: 3, 7, 866969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1005)\/225)\/(2\/30)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2227018, -2227095, -2227168, -2227237?\n\"Answer: 2*s**2 - 83*s - 2226937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19192 = -2*u - 3*x, -4*x + x = -6*u + 57576. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/2, 0.2, 1218, 1\/2, 1 in increasing order.\nAnswer: -3, 0.2, 1\/2, 1, 3\/2, 1218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 80*v**2 - 800*v.\nAnswer: -2*v*(v - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007365513639 to 7 decimal places.\nAnswer: -0.0073655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10d (base 14) to base 6\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1609092*m**3 + 2538*m**2 - 1269*m - 2538. Let o(w) = -2538*w**3 - 4*w**2 + 2*w + 4. Determine 1269*o(x) + 2*v(x).\nAnswer: -2538*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91122 is divided by 2597.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(8\/3)*g*g*g*g**(-1\/5)*(g**(5\/3)*g*g)\/(g*g**(3\/10)) assuming g is positive.\nAnswer: g**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 3. Let c(g) = 0*g - 2*g + 3*g. Let y(m) = 4*c(m) + f(m). Let j(b) = 1 - 11*b + 34*b - 22*b. What is -3*j(n) + y(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1381*i - 1386*i + 11 = -b, 0 = -4*i - b + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, k: 3, r: 5}. What is prob of sequence rr?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 102, 104, 106, 108, 110?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-1\/5)*t**8*(t*t\/(t\/(t*t*(t*t**12)\/t*t*t)))\/t**(-19) assuming t is positive.\nAnswer: t**(226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -211. Suppose l + 228 = 4*w. What is the highest common divisor of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - o - o + 2*o + 2. Let q be z(-4). What is the greatest common factor of 15 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6572 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 461*t - 4157*t + 317856 for t.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o + 18 - 18. What is the remainder when (-126)\/12*8\/(-6) is divided by z(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22466 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2571, 2566, 2559, 2550?\n\"Answer: -y**2 - 2*y + 2574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2809364 divided by 3\nAnswer: 2809364\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 188 = 14*n. Let b = n + 54. What is the smallest common multiple of b and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-11) + (3536\/1716)\/((-2)\/3). What is the nearest to 1.1 in -1, -5\/18, m?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2662, -3058, -3454, -3850?\nAnswer: -4246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 917, 0.078, 2\/15, 5?\nAnswer: 917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/372 and -59\/18.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374 and 836?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -8*q**2 + 17*q - 44. Let v be h(8). Let n = -416 - v. Solve 2*l = 6*l - n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -15 (c) -10 (d) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j - 33*j + j + 17*j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*h + 1, -203 + 196 = h + 3*r. Let x(f) = -3*f**3 - f**2 - 3*f - 2. Give x(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 3 = -6*z. Suppose 3*j = z*c + 6138, -4*c + 9951 = 5*j - 279. Suppose -8*g + 10666 + j = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -229.\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34 and -953670510827?\nAnswer: 953670510793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let z(i) = i**o + 3*i**2 - 5*i**2. Let k(a) = 4*a. Let p(q) = -q**2 + 3*q. Let c(f) = -3*k(f) + 4*p(f). Calculate c(z(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*a + 31 = -14, 0 = -b + 2*a + 25. Let t = 51 - 36. Is b <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in 4, 2\/17, -0.2, -343, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j + 2*b = 21*j + 2, -5 = 2*j - 5*b. Let m be 10\/4 + (-2)\/4. Let g be m\/(-10) - 8\/(-20). Is j less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mddwmjmdomw. Give prob of picking 1 w, 1 o, and 1 m.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 8*k + 3. Let z be g(-8). Let p be (97 + 1)\/(z + -2). Let n = -69 + p. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2321591*j**3*x**5 - 546*j**3*x**2 + 226*j**2*x**2 - 3*x**2 wrt x.\nAnswer: 139295460*j**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 609 = 7*x, -4*x + 115 = 5*q - 233. Let b(r) = 7*r**2 + 7*r + 4. Let a be b(-4). Which is greater: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 + 80. Suppose -408 = -x*j + j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107866926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s + 58*s - 23*s - 133 = 0 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 = 2*z, 3*f - z = 7 - 1. Suppose -13 = -2*g + f. What is the greatest common divisor of g and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148330980.\nAnswer: 2, 3, 5, 7, 39241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -78, -184, -300, -414, -514?\n\"Answer: 2*l**3 - 17*l**2 - 69*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2)*(-1)\/(-1). Let p = o - -3. What is the third derivative of -5*v**4 + 2*v**p + 2*v**4 + v**2 wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*a**2*q*r*y + 1664*a**2*q*r + 42*a**2*r + 2*a*q*r*y - 2*a*q*y + 5*a - 13*q*r*y + 697*q*r - 2*y wrt a.\nAnswer: -48*q*r*y + 3328*q*r + 84*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2537\/13 - 195. Let s = -431\/7 + 16585\/273. Let n = s + h. Which is the smallest value? (a) -2\/11 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*s**3 - 2*s + 112*s**3 - 57*s**3 + 14*s**4 to the form w*s + y*s**3 + m*s**2 + n + p*s**4 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -128, -127, -128?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2336 = -884*h + 25320 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*sqrt(1089)*-3)\/(sqrt(9)\/(1*sqrt(432))).\nAnswer: -2 + 1584*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 4*l**4\/3 - l**3\/3 + l. What is the tens digit of n(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176328.6763 take away -5?\nAnswer: 176333.6763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 12*f + 2. Let w be ((-3)\/(-1))\/((-8)\/(-32)). Let h be r(w). Differentiate -8*a - 5*a + 1 - 6*a + h*a with respect to a.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7184.4598879 less than -0.04?\nAnswer: -7184.4998879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 162, 0, -3, -5 in ascending order.\nAnswer: -6, -5, -3, -1, 0, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:37 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 571 - -446. Suppose 886 = 11*z - l. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u - 11*u + 177*u - 69*u + 287*u + 175*u.\nAnswer: 578*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**4\/16 + r**3\/6 - r**2\/8 + 89. Factor w(y).\nAnswer: -y*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 126187 = -2*d - 39533, 0 = 3*j + 12. Round d to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.16 to zero dps.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 less than -5\/306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 27*u - 60 + 3. Which is the nearest to -2\/79? (a) -3 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:55 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 31\/5*j**2 - 53 + 961\/5*j + 1\/15*j**3. Determine z so that f(z) = 0.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 83*c + 1. Give k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 12 + -14 + (0 - 20).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 4*x**2 + 0*x - 1\/42*x**7 + 0 + 0*x**4 - 1\/60*x**5 + 0*x**6 + 0*x**3. Find the third derivative of f(r) wrt r.\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 - 1. Let c be y(-2). Solve s = c*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/42 and (58\/87)\/((-152)\/(-242)).\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 24427.8, -10, 2?\nAnswer: 24427.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-553)\/19434*(-5)\/((-70)\/(-8))\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1044)\/(-324) + (-3)\/(54\/4). Let k(h) = -3*h - 13. Let a(q) = q + 6. Calculate w*k(n) + 7*a(n).\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -11\/3*v**3 + 0 + 35*v - 4*v**2 + 1\/6*v**4. Let u be k(12). What is the highest common divisor of u and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2161, -0.5, -14\/23, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9260121 to the nearest integer?\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 55\/7, 2, 39, -0.62?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-2\/7)*g)\/g))**(-1\/55)*(g\/(g*g**(1\/17)))\/(g**(2\/7)\/g) assuming g is positive.\nAnswer: g**(591\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 274648464 and 2718.\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1278 and -115\/252.\nAnswer: 17892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 109 + 266*s**3 - 788*s**3 + 261*s**3 + 262*s**3 - 23*s as q*s**2 + t*s + m*s**3 + k and give k.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 + -206. Let l = f + 167. Let y(v) = 3*v - 17. Calculate the remainder when l is divided by y(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -615 + 671. Suppose -202*i + 195*i = -s. Factor 0 - 2*j + 4*j**4 - i*j**3 - 2\/3*j**5 + 20\/3*j**2.\nAnswer: -2*j*(j - 3)*(j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 30 = 4*p, -5*p + 0*p - 25 = 0. Let g(x) be the third derivative of 3*x**5\/10 + x**4\/12 + x**3\/6 - 2*x**2. Is g(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2))**(-17))**(30\/13)\/(((r\/r**(-1\/14)*r)\/r**(-1\/7))\/((((r\/(r\/r**2)*r)\/r*r)\/r)\/r**(-2))) assuming r is positive.\nAnswer: r**(3895\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztnzztz. Give prob of sequence tz.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 (base 8) in base 14?\nAnswer: 1dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/20 (b) 0.01 (c) 5 (d) -1\/4 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34172053915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 0)\/(-4*(-4)\/(-8)). Sort -1, k, -3 in descending order.\nAnswer: k, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 7) in base 5?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -798612*k**4*u - 3*k**3*u - k**3 - 14*k**2*u + 9*k**2 + k + 269*u + 1 wrt k?\nAnswer: -19166688*k*u - 18*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18636892 - 18636892 - 34066*y + 34061*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(567)*2 + sqrt(567))*6 + sqrt(567) + (-2*sqrt(567) + sqrt(567) + sqrt(567))*-3 + 3 + sqrt(567) + -1 + sqrt(567) + 5)*6)**2.\nAnswer: 2381400*sqrt(7) + 225086400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - ((-26 - -24) + -9 + 2 + 8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 19. Let f = y + -25. Solve -u = 3*b - 7, -f*b - 1 = 3*u - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -56*k**3 + 32*k**2 + 10*k + 10. Let v(q) = 19*q**3 - 11*q**2 - 3*q - 3. Let a(h) = -3*l(h) - 10*v(h). Find the third derivative of a(t) wrt t.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p + 12. Give u(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 8 = 0, 7*w + 2*r = 4*w + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*q + 11*q = 120 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4. Suppose -r - 2 + 6 = b. Factor -2*s**3 + r*s - 5*s - 2*s + s + 4*s**2.\nAnswer: -2*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2 - 88875584*v + 1974717357835264 = 0.\nAnswer: 44437792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 - 24*v**4 + 21*v**3.\nAnswer: 3*v**3*(v - 7)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p - 18 + 17 - p**2 + 0*p**2. Let k be l(6). Suppose 4*n - 20 = 4*y, 0 = -6*y + y - 25. Sort -5, k, n.\nAnswer: -5, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -6 (c) -8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 2*v - 5*v. Let c = -23 + 44. Suppose 2*w - 5 = c. Calculate the remainder when v is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 9*f**2 + 36*f + 53401. What are the prime factors of r(0)?\nAnswer: 53401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -10 (b) 6\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**3 + 45*o**2 + 94*o - 59. Calculate q(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20475 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 156415905 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 - -111. What is the fourth biggest value in -0.5, -2, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4853093*i - 3617768 wrt i?\nAnswer: 4853093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 46731952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-2660)\/(-175))\/76)\/((-3)\/45)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1. Suppose 0 = 5*t - 5*r - 5, 5*t - 3*r - 51 = -56. Let p(i) = i + 2. Determine t*p(c) - 3*a(c).\nAnswer: -4*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 12 + 6. Suppose -d*i + 13 = -23. What is the third derivative of 12*m**4 - 5*m**i - 12*m**4 + 16*m**2 wrt m?\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c - c - 3*c - 3*c + 15*c**2 as w + n*c**2 + g*c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 68*x**2 - 7*x**3 - 5*x**3 - 69*x**2. Determine d(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-1))\/(-20 + 3 - -18). Solve 5*u = 6*u + b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 128760\/21 + 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7375*f + 72253*f + 17632*f.\nAnswer: 82510*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 47\/4 + 229 + -241. Let m be (-1)\/(-3)*5\/(-2). Sort 1\/2, -3, t, m in descending order.\nAnswer: 1\/2, t, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*n - 5, 4*n - 23 = -0*b + 5*b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -79. Let f = l - 592\/9. Factor 0 + 2\/9*s**3 + 4\/9*s**4 - f*s**2 + 0*s.\nAnswer: 2*s**2*(s + 1)*(2*s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -916832.7 - -917339.6519. Let t = 507 - b. Round t to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150478?\nAnswer: 2, 75239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/1344*(-2)\/((-12)\/9)*4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9)\/c*c)\/c*c*((c*c\/((c**(1\/5)*c)\/c))\/c*c)\/c*c*(c*c\/c**(-3)*c)\/c*c*c*c**(-5\/2) assuming c is positive.\nAnswer: c**(587\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.61, 5, 0.5, -6, -1\/2, -1\/3.\nAnswer: -6, -1\/2, -1\/3, 0.5, 1.61, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/6 - x**3\/3 - x. Let m(r) = -r**3 - r**2 + r. Let k = 6648 - 6649. Calculate k*b(d) - 2*m(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 6054 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - ((-13 - (7 - 4) - -7) + 6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 507\/4, -1\/6, 0.2, 373\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21028 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118582 or -118526?\nAnswer: -118582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6335560 divided by -82280\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 11714 + 7381 = -x, 47739 = 5*c - x. List the prime factors of c.\nAnswer: 2, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5251 = 3*j + s, j - 5*s = 690 + 1071. Calculate the highest common divisor of 309 and j.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -19252 (base 11) in base 6?\nAnswer: -324343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 63\/(-5)*40\/8. Let t = o - -65. Differentiate -4*b**2 - 71 + 40 + 42 + 9*b**t with respect to b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 125379 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460 = 38*c + 158 - 27 - 583 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 16, -569*r + 564*r - 4*g + 506 = 0 for r.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5\/4 + 4*d**4 - 13*d**2\/2 - 3*d\/4 + 5\/2 = 0 for d.\nAnswer: -5, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 4*j + j - 5*j. Let q be (-10)\/(-2) + (-6)\/(-3). Let x(s) = -4*s**2 - q*s**2 + 10*s**2. Give x(r(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2749599, -2749593, -2749575, -2749539, -2749479, -2749389?\nAnswer: -2749263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -6*g**6\/5 + 3*g**4 - g - 4. What is the third derivative of n(z) wrt z?\nAnswer: -864*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(50)\/(sqrt(1210)*2) - (1*sqrt(125) + 3 + sqrt(5) + -2 + sqrt(5))**2.\nAnswer: -246 - 311*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -173.021 and -3?\nAnswer: 170.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3583 - -15207\/4. Let f = z + -220. Let x be 1\/3 + (-14)\/(-3). Which is the smallest value? (a) x (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + a + a)*(3*a - 1 + 1) + (-3*a + a - 4*a)*(5 + 17*a - 9*a - 5*a) to the form d*a**2 + q + i*a and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 305605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(-5\/7)*l))*l*(l\/(l**7\/l)*l)\/l*l)\/(l**13)**46 assuming l is positive.\nAnswer: l**(-4205\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 9*h + 8. Let p be b(10). What is the closest to p in -4, -0.3, 2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w = -k + 65, 4*k - 167 = -5*w. Calculate the common denominator of 34\/9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7193 - 7193 + 1020*z**3.\nAnswer: 1020*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0 + 2*w**3 + 0*w + 1\/30*w**5 - 7\/12*w**4 + 23*w**2. Factor y(l).\nAnswer: 2*(l - 6)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8644*m - 6138*m - 685326 - 349414 for m.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*q = z - 51*q + 13, 0 = -z + q + 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 32. Let n be 2\/3*6\/(-10). What is the biggest value in -4\/7, n, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1915.\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -2\/7, -100, -10, -2\/43 in increasing order.\nAnswer: -100, -10, -2\/7, -2\/43, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - s)*(51 + 20*s - 51)*(-3 + s + 3) + 4*s**2 - 4*s**2 + 3*s**3 to the form d + b*s**2 + p*s**3 + t*s and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/8 (b) 10\/1383 (c) -234 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -23. Let a be 6*(10\/3)\/t. Solve 2*o = a - 0, -5*o = 3*i - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2134?\nAnswer: 2\/1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6429.\nAnswer: 3, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 5*r + 2. Let y be t(5). Let i be (-192)\/(-33) - y\/(-11). Is 1*2 - (-282)\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81322 to the power of 1\/2, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/5 + 4*m**3 - 126*m**2\/5 + 196*m\/5 + 343\/5.\nAnswer: -(m - 7)**3*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**5 + 45*i**4 - 55*i**3 - 885*i**2 + 50*i + 840 = 0. Calculate i.\nAnswer: -7, -6, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135799823 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 9\/(-18)*(-2 + -6). Let o be (-1)\/(-2)*(5 + 1). Let w(m) = 5. Let z(j) = j - 1. Let l(s) = w(s) + 2*z(s). Let n(a) = a + 2. Give o*n(t) + q*l(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 2*f - 10. What is the units digit of j(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*p + 2 = 0, -t - 4*t + 2*p - 1 = 0. Let r = t - 4. Which is the second biggest value? (a) r (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 97 = -3*j + 46, -25*j - 5*y - 184 = -27*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2014, 4029, 6042, 8053, 10062?\nAnswer: 12069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6117a (base 15) to base 12.\nAnswer: -129b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 20 = 0, -2*o - 2*w - w - 24 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/39)\/l**(-12) assuming l is positive.\nAnswer: l**(470\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16034.95 centuries in millennia?\nAnswer: 1603.495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*d - 43*d = -252*d - 3080 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 762, 441, -432, -2133, -4938, -9123, -14964, -22737?\n\"Answer: -46*q**3 + q + 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -96539.54 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -52037 (base 13) in base 2?\nAnswer: -100011111100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/20 and (5\/30)\/((-10)\/1065).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -34*a + 8. Let x(i) = 35*i - 9. Calculate 7*b(v) + 6*x(v).\nAnswer: -28*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k + 1. Suppose -q = k - 30. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 = -0*q. Calculate the smallest common multiple of 25 and q.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.33 or -99754\/63?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*t - 25, t = -j + 3*j - 10. Let d = -11 - -18. Suppose -z + y + 3 = 0, 3*z + 2*y + d = y. Which is bigger: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*u + 15. Let v = -3 + 6. Which is the second smallest value? (a) 0.3 (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = c - 3*c + 153, -25 = 5*o. Suppose 4*g + 151 = 27. Let l = c + g. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -70, -99, -128, -157, -186?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.021 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:43 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -145496*b + 72750*b + 72745*b. Let n(g) = -117*g**2 + 16. Give n(i(u)).\nAnswer: -117*u**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 2\/(2 + 0). Let z = 194\/3 - 65. Which is the closest to d? (a) z (b) 2\/15 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 + 1 + 651*h**3 + 6 - 221*h**3 - 214*h**3 - 220*h**3 to u*h + c*h**3 + j*h**2 + z and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*r = -1861*r - 80262 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5690106 hours in nanoseconds?\nAnswer: 2048438160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 10 - 8. Let r be (g\/(-12))\/((-9)\/(-6)). Suppose r = t - 6. Solve -k + 4*d - t = 0, 4*k + d - 2*d - 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207695 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8412 is divided by 764?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-16)*s*s\/(s*s*s**(-20)))\/(s**(-4\/21)*s**(2\/39)) assuming s is positive.\nAnswer: s**(1130\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a minute in seconds?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -5\/11 (c) 2 (d) 1\/7 (e) 2776\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = 5*m + 25, -10 = -w - 9*m + 11*m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-8 - (-36)\/4)*4\/16*212 and 1219.\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*z**2 - 24*z + 136\/3 = 0. What is z?\nAnswer: 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28618 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 6*q - 5. Let o be f(-4). Suppose 0 = -j - o*j + 104. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-47850)\/(-16) - (-42)\/112. Let l = t - 976. List the prime factors of l.\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nex when three letters picked without replacement from {b: 1, x: 7, e: 5, m: 2, d: 1, n: 1}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 18*a**2 - 815*a - 628. Give z(46).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/4)\/((-1)\/(-2)). Solve -2*k = -q*s - 21, -2*s + 5*k - 10 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8302 at most as big as 1.87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190 - -146. Let x = u - -72. Suppose -x*n + 1998 = -10*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -4*q + 5*u, -3*q + 27*u + 6 = 26*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.23 or 138\/95?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9c (base 13) to base 4\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*b**3 - 88*b - 29*b**3 - 90*b + 192*b + 60*b**3.\nAnswer: 4*b**3 + 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 18*j - 5. Calculate the smallest common multiple of 18 and w(5).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16975668 and 10214?\nAnswer: 16975668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/15*(-375)\/(-50)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h**2 + 383*h - 788*h + 405*h. Let b(w) = -3*w. Give b(x(s)).\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(2 + (3 + -1 + sqrt(128) + 5)**2 + -2)*-6*4.\nAnswer: 16128*sqrt(2) + 25488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139 - -272. Let x = b - 29. Let k = 103.9999907 - x. What is k rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6165 (base 9) to base 6.\nAnswer: 32522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72118*l**5 + 341*l**4 + 136*l**2 - 142*l + 94?\nAnswer: 4327080*l**2 + 8184*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/8*((-2)\/8)\/(342\/(-456))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -849 divided by -4.\nAnswer: 849\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 16212*w + 3356432.\nAnswer: -2*(w - 8308)*(w + 202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(1\/16)*(a*a*a**(-3\/7))\/a)\/(a**6*a)**(-29) assuming a is positive.\nAnswer: a**(23031\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - a**4 + 5*a**4 + (2*a**2 - 6*a**2 + 2*a**2)*(4*a**2 - 5*a**2 - a**2) + (2*a + 2*a - 3*a)*(2 - 2 - 3*a**3))*(1268 - 3179 + 39).\nAnswer: -5616*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*x + 4 + 3*x**2 + 3 + 1 + 4.\nAnswer: 3*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 22 = 10. Let g = 49\/2 - 24. Determine a, given that -1\/2*a**2 - 3\/2*a**x + 3\/2*a - g*a**4 + 1 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9047 - -0.0953. Which is the fourth smallest value? (a) -0.3 (b) y (c) -3\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**(-1\/3))))\/y)\/(y**(-1\/10)*y*y)*y\/y**(-2\/3)*y*y**(-5) assuming y is positive.\nAnswer: y**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2224 - 3*z + 2224.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2707073*c**5 + 1508082*c.\nAnswer: 54141460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10718?\nAnswer: 2, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 - -102. Let a(g) = 459*g + 3. Is a(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -537675 - 2?\nAnswer: -537677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -27*j - 18. Let y be (-5)\/((-40)\/(-12))*-2 + -6. Let a be f(y). What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s + 24. Calculate the smallest common multiple of 4 and n(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -1)**2 - sqrt(72) - (3 + sqrt(6)\/sqrt(3))) + sqrt(162) + (2*sqrt(162))**2*3.\nAnswer: -10*sqrt(2) + 2014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26005, 25995, 25985, 25975?\nAnswer: 25965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37823 = 505*z + 49943 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*d - 63. Let a = 22 - d. Let c be 4*(-4 + (-55)\/a). What is the greatest common factor of 18 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 3*m + 44 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*x + 5*i - 4, 2*i - 12 = -2*x. Let j(o) = o**2 - 11*o + 6. Calculate the smallest common multiple of 8 and j(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -1)\/3 - (6 + -4). Let j(m) be the third derivative of m**5\/15 + m**4\/6 + m**3\/2 + m**2. Let y(x) = 9*x**2 + 9*x + 7. Calculate h*y(g) + 5*j(g).\nAnswer: 2*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 919\/240 + -43\/48. What is the common denominator of y and 2\/19 + -2 + 12888\/6080?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 708074954 and 358.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.1.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-10) - (-528)\/110. Let f(b) = 4*b**2 - b - 4. Let y(z) = 8*z**2 - 2*z - 9. Determine m*f(i) - 2*y(i).\nAnswer: 4*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 664?\nAnswer: 7304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 45*b + 50. Let w be q(21). Which is smaller: w or 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-3\/5))\/((g*g*g\/g**(4\/3)*g*g)\/g))**(5\/3) assuming g is positive.\nAnswer: g**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875 = 52*i + 251 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97802895?\nAnswer: 3, 5, 6520193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03744384 to 3 decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 13 = 2*s + 2*l, 2*s - 3*l = 5. Let f be 26 + ((-2)\/(-4))\/(53\/(-1272)). Solve -3*j + 12 = -d, -s*j = -d - d - f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -3*(-12)\/9. Let g = 9 - h. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -62*a - 36. Let r(h) = -18 - 58*h + 5*h + 14*h + 8*h. Let l(m) = 3*d(m) - 5*r(m). What is the units digit of l(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 65*h = -63*h - 21, d - 9 = -2*h. Solve 0 = -v - d*g + 1, -2*g = 4*v + v + 21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(8\/528 + (-1113)\/246609)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -2. Suppose -2*r - 3 = -h, -3 = 2*r - 4*r - h. Suppose 2*x - n = -3*s + x, -s - x = r. Calculate the remainder when s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 5*f**2 + 3 - 7 - 4*f**2 + 5*f. What is g(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 63, 104, 159, 234, 335?\n\"Answer: o**3 - 2*o**2 + 32*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54359753 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 809262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 104*q**3 + 58*q**2 + 1. Let o(r) = -55*r**3 - 29*r**2 - 1. Determine 5*o(f) + 3*v(f).\nAnswer: 37*f**3 + 29*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0.3 (c) -2\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115\/748 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13133365 (base 7) to base 16\nAnswer: 12563b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, k: 1, s: 6, h: 1}. What is prob of sequence ssg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -266, -274, -298, -344, -418, -526, -674?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 4*w - 1. Let l(n) = -n. Let k be l(-11). Suppose -k = -2*q - 0*q + 5*v, 3*q = v + 10. What is p(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47, -53, -53, -41, -11, 43, 127, 247?\n\"Answer: b**3 - 3*b**2 - 4*b - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -4, 5, -124, -156, 3 in descending order.\nAnswer: 5, 3, 2, -2, -4, -124, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + -2 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 3 + b**2 + 5 - 2*b**3 + 0 in the form v*b**3 + m*b + q*b**2 + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 - 330. Let r = t - -217.9461. Round r to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 626817?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -17*y**3\/3 - 3*y**2 - 6*y + 2393. Let d(q) = 2*q. What is d(h(o))?\nAnswer: -34*o**2 - 12*o - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or 2\/71?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqfxxxfyxffqdqfqqxf. What is prob of sequence qxyq?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x - 6 + 6)*(-74 + 37 + 50*x + 37) to l*x**2 + i + n*x and give l.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102321321 (base 4) to base 11.\nAnswer: -531a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeuheceeh. What is prob of picking 1 h and 1 c?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 69282026 to the power of 1\/3, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l - 70 - l + 8*l - l.\nAnswer: 14*l - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**4\/4 - 387*w**3 - 1707543*w**2\/4 - 851447*w\/2 + 852996 = 0.\nAnswer: -744, -2, 1, 2293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 3*h - 5. Let d(b) = 1. Let q(z) = -5*d(z) - i(z). Let x be q(4). Find the second derivative of -2*g + g + x*g**2 + g**2 + 0*g**2 wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/5 + 14*f**2\/5 + 12*f\/5 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 638 - 122. Let f = o - 520. What is the closest to 1\/2 in f, -5\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umh when three letters picked without replacement from {m: 1, h: 3, u: 1, x: 1, c: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10792468*l**6 - l**5*s**3 - 1528*l**2*s**3 - 2*l**2*s**2 + 37*l*s**2 + l + 4*s**3 wrt l?\nAnswer: 1295096160*l**3 - 60*l**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -655853, -1311707, -1967561?\nAnswer: -2623415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 46 = 3*x, 3*x + 50 = 2*s - 2*x. Suppose 6*g = s + 22. Let w = g - -7. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 23*n - 43. Give s(-25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/5 + 19153796*x\/5 - 19153786 = 0. Calculate x.\nAnswer: 5, 9576893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49*i**3 + 3*i**2*l**2 - 21*i**2*l + 35491*l**2 wrt i?\nAnswer: -147*i**2 + 6*i*l**2 - 42*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2796921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 + -26 - (-3 - -4)) + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-three quarters of a litre?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 6:22 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/16)\/((-1)\/(-4)). Let n = d - -5. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 11:07 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 113298.636 * -5\nAnswer: -566493.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -2\/3*y**3 + 1\/60*y**5 + 0*y - 2*y**2 - 1\/6*y**4 + 0. Give u(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (532\/(-130) + 4)*5390\/(-308)?\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9986 is divided by 4975?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 - 640*c + 1956 = 0. Calculate c.\nAnswer: -163, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39769 - 39774. Let s = 1 - -27. What is the second biggest value in b, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - 0) + -48 + 76 + -33?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 11:32 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -86192236 + -5?\nAnswer: -86192241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100160.\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -114?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -42, -77, -104, -123?\n\"Answer: 4*m**2 - 47*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = -2*k - 46, 5*w + 2*k + 3 + 14 + 30 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -68, 203, 652, 1279?\n\"Answer: 89*n**2 + 4*n - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3350231 minus -4.785?\nAnswer: -3350226.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6564 = -20*x - 6624 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 309, 456, 599, 738?\nAnswer: 873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (11 - 41) - 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12.73775 kilometers?\nAnswer: 12737750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = 2*x. Let f = -110152764\/1801 - -61162. Is f > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 9) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96221, 96299, 96373, 96443, 96509, 96571?\nAnswer: 96629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 8464*q**4 - 321448*q**3 + 3048513*q**2 + 66386*q + 361 = 0. What is q?\nAnswer: -1\/92, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.061+-114705722\nAnswer: -114705721.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -50. Let t(b) = b + 24 - 20 + b**2 + 5*b. Determine t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4450 divided by -5?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*w = 5*c - 40, 5*w = 5*c - 80. Let k be 4\/(-18) - c\/(-54). List the prime factors of 12 + (4 + k)\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 0 + 2 + 2*b)*(3 + 1 + 1).\nAnswer: -5*b + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 274 + -266. Which is the biggest value? (a) 0.5 (b) -1\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a gram in milligrams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**3 - 4171*o. Let w(q) = 50*q**2 - 1. Determine l(w(c)).\nAnswer: 300*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 6*h**2 - 7*h + 2. Let n be b(7). Is n\/(-3)*(-1266)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2717141783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/12)\/(-17*3\/(-408))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 6:01 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*m - 176*h**3*o**2*q + 7*h**2*m*o*q**2 + h**2*m*o - 20*h**2 + 3*h*m*o**2 - 3*h*m*o*q**2 + 2*o**2*q**2 - o wrt o?\nAnswer: -352*h**3*q + 6*h*m + 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - y + y)*(0 + 4 - 2) + 9*y - 7*y + 8*y to the form h + i*y and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2255, -2253, -2251, -2249, -2247, -2245?\n\"Answer: 2*r - 2257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mudqmqwmmmwwmqwwwmw. Give prob of sequence uqmd.\nAnswer: 7\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 109\/3*k**3 + 107\/30*k**6 - 11*k + 0*k**5 + 0 + 0*k**2 + 0*k**4. What is the second derivative of c(h) wrt h?\nAnswer: 1284*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1137*j + 1140*j - 3*h = -69, 84 = 4*j + 4*h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 519 = 5*a, 331 = -2*a + 3*u + 127. Let r be (6 - 9)\/(a\/(-14)). What is the nearest to r in 5, 2\/7, -7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6 - 3. Let d be 5\/((-150)\/85) - -2. Suppose -4*p + 2*p = 2, 0 = 4*u - 3*p + 17. Which is the second smallest value? (a) l (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11844765, -11844767, -11844769?\n\"Answer: -2*o - 11844763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073429727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5946 and 1?\nAnswer: 5946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56\/258*100\/35. Let f = -2\/43 - y. Which is the nearest to f? (a) -2\/7 (b) 0 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.884 minus 14622739?\nAnswer: -14622751.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84140335469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**4\/2 - 2045*o**3\/2 - 909330*o**2 - 124272890*o + 125183240 = 0.\nAnswer: -238, 1, 884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 1\/2*u**3 + 0*u - 16.\nAnswer: -(u - 4)**2*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 37. Suppose -5*s = -s. What is the remainder when u(s) is divided by -4*(-9)\/3 - -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*w**2 + 525*w**2 + 416*w**2 - 265*w**2.\nAnswer: 1133*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52681?\nAnswer: 139, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 3*l**2 + l + 6. Give n(-5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19187790 by -1662.\nAnswer: 11545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25199*o**2 - 25195*o**2 + 50412*o**2.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -376761610570?\nAnswer: 376761610570.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 10:42 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*g = 40, 3*y = 4*g - 147 + 118. Sort -2, y, 35 in decreasing order.\nAnswer: 35, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*t - 2*p - 96, -t = p - 16. Let n be (-24)\/((18\/(-80))\/3). Suppose -s - n = -5*s. Calculate the highest common factor of t and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2520 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) -0.05 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by -3799.\nAnswer: -140\/3799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + (74 - 70) + -10?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -83\/3 in 0, 1\/53, 2.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 14. Let x = w + -5. Solve d - x = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*k + 1811 + 3095, -7327 = -3*k - 2*w. Is 3\/6 + k\/6 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9 - 3 = 0. Suppose 0*u + z*u + 2*h - 93 = 0, 93 = 3*u - 2*h. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169569 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1, -243?\nAnswer: -243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102237 by -1.\nAnswer: -102237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*6\/(-9)*-2. Suppose q - 1 - i = 0. Let n(w) = -3*w - 19. What is the remainder when n(-11) is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**3\/6 + 7*k. Let x(r) = 14*r**2 + 8*r. Let y(f) = -f**2 - f. Let i(g) = x(g) + 8*y(g). Give i(s(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 852464219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -10437520 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 - 29*b - 17. Let j be (1*9)\/(24 + -23). Is x(j) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (6 - 1))*-1. Let b(j) = -j**2 + 9*j + 1. Let c be b(9). Sort c, h, 2 in descending order.\nAnswer: 2, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586894 divided by -111?\nAnswer: -15862\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3809842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11452645 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4456*d - 689*d = -173282 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3134, -6266, -9400, -12536, -15674, -18814?\n\"Answer: -m**2 - 3129*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-315)\/21 + 0 + 2116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49679584*w - 35594614 wrt w?\nAnswer: 49679584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -4*k - 32, 97772*k + 22*w - 157 = 97777*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*sqrt(24))\/sqrt(2) - (-5 + -2*sqrt(12) - sqrt(96)\/(sqrt(8) + 1*sqrt(8)))**2.\nAnswer: -100 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**6\/120 + y**5\/15 - 7*y**4\/24 - 9*y**3 - y**2 + 13*y. Suppose -2*j - 5 = -j. Let n be v(j). Is -44 != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -22*z + 96. What is m(6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - (58 - 11)) + (2 - -7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/14 (b) -1 (c) 1\/667\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58738.\nAnswer: 2, 43, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/290 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -3\/7, -3, 827, -6\/191 in descending order.\nAnswer: 827, 2\/5, -6\/191, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 + 246. Let z be ((-81)\/12)\/((-20)\/16 - -1). Suppose w*t = z*t + 928. Calculate the highest common divisor of t and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-5)*f*f*f*f*f*f\/f**(-2))**35 assuming f is positive.\nAnswer: f**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 673 divide 3607069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 0 + -3 + 5. Let u(p) be the first derivative of 1 - 1\/2*p**2 + q*p. Let i(j) = -3*j**2. What is i(u(s))?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, -77, 1\/4, 1\/5 in descending order.\nAnswer: 1\/4, 1\/5, 0, -0.1, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*f = -19, -5*n + 2*f + 8 = -3. Suppose c - 2 = n, 3*m = 4*c + 27. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5188*q + 10697*q + 864*q + 11123*q + 9527*q to j + c*q and give c.\nAnswer: 27023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-30)\/(-45) - ((-7)\/3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-132)\/4*-3*(-9)\/(-81)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {k: 3, j: 3, h: 1, t: 4, f: 6, s: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 4\/13, 0.\nAnswer: -40, 0, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6, 26, 50, 72, 86?\n\"Answer: -h**3 + 8*h**2 + 3*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 442?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1 (c) 1\/6 (d) -5420 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -19) + -32 - ((2 - 5) + -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:21 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568 = -4*m - 2*w, 3*m = -4*w + 325 + 106. Calculate the remainder when m is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18321 divided by 17?\nAnswer: -18321\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - f = -41, 15 = 2*s - 2*f - 17. Suppose 0 = -0*j + 4*j + 2*k - 30, -j - 3*k + 10 = 0. What is the remainder when s is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/26*(-78)\/18. Which is the closest to -0.1? (a) 143 (b) x (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5*a - 38 = -14, 3*i = 2*a + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*p**5\/4 + 88725*p**4\/4 + 5375913*p**3\/4 + 5273079*p**2\/4 - 215037*p - 211491 = 0. What is p?\nAnswer: -1119, -63, -1, -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/31621530 and 18\/901.\nAnswer: 1675941090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1820\/33801 > -0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.89317 millilitres in litres?\nAnswer: 0.01789317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26995 divided by -99?\nAnswer: -26995\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/10? (a) 1\/2 (b) -3 (c) -5 (d) -0.027 (e) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -24*x + 770. What is x rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94\/((-7896)\/(-63)) - (0 + (-50)\/(-8)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = 0, 62499995 = -m - 4*m + 5*w. Round m to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1933\/975 - 16\/75. Find the common denominator of c and -91\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - i + 3*i)*(3*i - 2*i + i) + (2*i + 0*i - 5*i)*(-3*i - 2*i + 2*i) - 33*i**2 - 28*i**2 + 57*i**2 to m*i**2 + w + q*i and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.03 + -0.03. Let z = c + -2. Let s = 7 - 6. Does s = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4090 - 24 - 10\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**(-1\/58)*(o\/(o*o\/o**(-3))*o)\/(o\/o**(1\/3)*o))**33 assuming o is positive.\nAnswer: o**(-8965\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 4*n**2 - n - 1. Let k = -21 + 25. Let s = 0 - k. Calculate p(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 19*i**3 - 3*i. Let s(f) = -56*f**3 + 10*f. Calculate 10*p(r) + 3*s(r).\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-124))\/(40\/(12160\/(-228))).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**4\/4 - 31*z**3\/3 + 35*z**2\/2 - 147*z + 6. Let i be v(30). What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 7 - 8)*(-25 + 87 + 8*y - 10) to the form j + a*y and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 188 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 1 - 5 + 2*t + 4. Let s(x) = -5*x + 3 - 4*x**2 + 0 + 1. Let p = 1 - 6. Calculate p*c(f) - 2*s(f).\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3 + (5 + 1 - 5)*(5 - 3 - 4))*(10 - 10 - 10*u**5) - 3*u**3 - u**5 + 3*u**3.\nAnswer: 9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((57\/(-18))\/(-19))\/((-6)\/8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 3, 0.43, -3, 0.2, -28\/13 in increasing order.\nAnswer: -3, -28\/13, 0.2, 0.43, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 512, -12 in increasing order.\nAnswer: -12, 0, 512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/115 and -111\/10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -63181.81683 rounded to the nearest one thousand?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2603 + -2594. Solve d + 3*x = -10, -7*d - 4*x - 10 = -z*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.016, 4, -4, 0.2, -0.4, 3\/4 in descending order.\nAnswer: 4, 3\/4, 0.2, -0.016, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20558 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9*g = 0. Let l(o) = -o**3 + 2*o**2 + 3*o + 2. Let y be l(3). Suppose -3*f = y*u - 0*f, u = 3*f. Solve -3*d = -c + 12, g = -c - u*c + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from {v: 3, x: 5, q: 6, r: 2, j: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 2, j: 2, k: 1, o: 1}. Give prob of picking 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) - ((-9)\/27 - 4). Solve -5*r - 3*g - 39 = -62, d*g = 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2598 + -1492. What are the prime factors of t?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.10812 nanograms to tonnes.\nAnswer: 0.00000000000005310812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 3. Let x(a) = 6*a**2 - 8. Give -17*j(l) + 6*x(l).\nAnswer: 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 7. Let q be m(-9). Suppose 0*k - 28 = -k + q*w, -3*k - 4*w + 54 = 0. Let p = 17 - 5. Calculate the remainder when k is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5\/4 + 69*l**4\/2 + 1328*l**3 + 13077*l**2\/2 - 693441*l\/4 - 178605 = 0.\nAnswer: -63, -20, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 94189992 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*o + o + 4*w, -4*w - 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/36004256 and -87\/1880.\nAnswer: 180021280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*p - 770 = t, -p - 773 = 3*t. Let j = -165 - t. Let x = j - 77. Calculate the least common multiple of 18 and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - -0.26. Let v = 0.2 - l. Let m = -0.0678 + -0.9322. Which is the third smallest value? (a) 2\/3 (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -43. Which is the second smallest value? (a) -0.3 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7554.\nAnswer: 2, 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 17*s + 12. Let x be b(-8). Solve x = 3*o + o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 53*w**2 + 49*w - 122. Let g be k(-54). What is the highest common factor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22156 * -151\nAnswer: 3345556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*x - 20633*k**2 + 23*k*q*x**2 + q - 918*x**3 wrt x.\nAnswer: -k**2 + 46*k*q*x - 2754*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -i + 116, -3*i + 0*j + 358 = j. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34176 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 28\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16553.943 milliseconds to weeks.\nAnswer: 0.0000273709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3656 = -2128*u - 1091*u - 2782 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1259311 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -52, -124, -218, -334?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 2 + 8*l + 5*l.\nAnswer: 13*l + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q - 2. Let f(v) = -2*v**3 + 4*v**2 - v - 4. Let t be f(2). Calculate g(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 8 - 7*b + 7 + 2*b + 25*b.\nAnswer: 25*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*d - 8. Solve -4*z + 5*z + t + 4 = 0, -2*t = 4*z + d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/4)*f**(1\/10)*f)\/(f**(-4\/5)\/f*f**(-2\/3)\/f) assuming f is positive.\nAnswer: f**(349\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344066, 685410, 1026754, 1368098, 1709442, 2050786?\nAnswer: 2392130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3506598ng in tonnes?\nAnswer: 0.0000000000000003506598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(147)*-2 - sqrt(147) - sqrt(147)) + 1)**2.\nAnswer: -56*sqrt(3) + 2353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 - 3 = 0, -k = -2*o - 1. Let f be 2 - (1 + -95 + 0). Let i be f\/(-287) - (-6)\/21. Is i smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/u**(-1)))**(-18))**(10\/7))**(-1\/4))**34 assuming u is positive.\nAnswer: u**(-1530\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1268 + 1278. What is the remainder when 21 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247688066?\nAnswer: 2, 19, 6518107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29931, 29942, 29953, 29964, 29975?\n\"Answer: 11*b + 29920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l + 1. Let q(k) = -5*k**2 + 5*k + 42. Let h(p) = 2*p**2 + p - 1. Let i(n) = -5*h(n) - q(n). Let r(o) = 20*d(o) + 5*i(o). Factor r(y).\nAnswer: -5*(y + 3)*(y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26063*h**2\/2 - 5*h\/2.\nAnswer: h*(26063*h - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - m = 6, 0 = -2*l + 2*m - 6768 + 6800 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 2, p: 1, i: 1}. Give prob of picking 1 l and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -239 - -165. Let j = o - -77. Let m(n) = j*n + 8*n + 14*n. Let g(b) = -b**2. What is m(g(l))?\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 0.3 (b) 0 (c) 7 (d) 35\/6 (e) 2\/17 (f) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -15*b + 2. Let d be y(-2). Suppose -a + 5*a - d = 0. Suppose 0 = -5*x - 2*o, -2*o - a = 2*x - x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/5)\/g)\/g)\/(g**(-3)\/g))\/(g**(-6)*g\/(g*(g\/g**(-2\/29))\/g*g*g)) assuming g is positive.\nAnswer: g**(1518\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16851615553745 and -1.3?\nAnswer: 16851615553743.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/(b\/(b**(3\/4)*b)))\/(b**5\/b**(2\/3)) assuming b is positive.\nAnswer: b**(-115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110101515.\nAnswer: 3, 5, 7340101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -0.3, 2\/31, -0.2, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1725 (base 10) to base 9.\nAnswer: -2326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**4\/12 - 2*f**2. Let o(j) = 2*j. Let h(i) = i. Let v(b) = -7*h(b) + 5*o(b). Determine v(r(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - w + 4, 20*w - 31*w = 5*t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6327176 and 0.2.\nAnswer: -6327175.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384728 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)\/r**10)\/(r**(-15)\/r**(-17)))**(-15) assuming r is positive.\nAnswer: r**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-460)\/(-5100) + 3\/5. Let n = z - 2\/85. What is the nearest to n in -5\/4, -4, -5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30358 - -30348. Sort -64, t, -5\/2 in descending order.\nAnswer: -5\/2, t, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f - -5a?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 16\/13 - 4\/13*c**2 - 2\/13*c**3 + 8\/13*c = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*o - 4*o - 3822, 3*o = -15. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -20, -22, -24, -26, -28?\n\"Answer: -2*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 5*b, 6*b = 11*b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, k: 2, x: 8, v: 3, z: 2}. What is prob of picking 1 x and 1 k?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256 by 3.\nAnswer: 256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 580 - -62. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:54 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -14 + (-5221 + 5395 - (1 - -35)).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**3\/7 + 22*w**2\/7 + 52*w\/7 + 32\/7 = 0.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, e: 6, l: 2, x: 3, i: 2}. Give prob of sequence exx.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538254 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-405862238\nAnswer: -405862237.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 126*i**2 + 3. Let l(g) = 7*g - 1. What is l(b(h))?\nAnswer: 882*h**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.8, -0.3, -2, -166, 1.13.\nAnswer: -166, -8.8, -2, -0.3, 1.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -8*h**3 - 3*h**2\/2 + 3. What is the second derivative of w(r) wrt r?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 4 (b) 0.3 (c) 1\/3 (d) -31896445\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 2*d - 1. Let v(i) = 4*i**3 - 4*i**2 - 28*i + 14. What is 28*l(g) + 2*v(g)?\nAnswer: 8*g**3 + 20*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -491 - -1448\/3. Suppose 0 = 2*p - 15 + 115. Calculate the common denominator of (104\/p)\/((-4)\/(-10)) and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 7*r + 25. Is q(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*l - 117, 0 = -119*z + 116*z + 3*l + 186. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/((a\/(a*a*a*a*a**(1\/9)\/a*a))\/a))*a\/((a*a*a\/a**15*a*a)\/a) assuming a is positive.\nAnswer: a**(71\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5250 + 5183. Sort 0.1, -17, o.\nAnswer: o, -17, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, e: 6, j: 2, s: 2}. Give prob of sequence jwjw.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let p(w) = 75200*w. Let r(o) = -2400*j(o) + 2*p(o). Let x be r(-25). Round x to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ossoaoaaaao. Give prob of picking 2 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v + 1845812 = 38*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 345?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:48 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -645 divided by -129\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257669, -515345, -773027, -1030715, -1288409, -1546109?\nAnswer: -1803815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79533501529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 2:35 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b + -4e2f?\nAnswer: -4e4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14819 + 37157. List the prime factors of a.\nAnswer: 2, 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*d + 42*d - 28. Suppose 15*m**2 - 19*m**2 - 96*m**d + 100*m**4 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 + 3*u**3 - u**4 - 2*u**3 - 4*u**2 to i*u**2 + f*u + a + j*u**3 + k*u**4 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150 - 166) + 0 + 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -16, -2168, -12 in ascending order.\nAnswer: -2168, -16, -12, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, a: 2, l: 3, v: 6}. What is prob of sequence lval?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411 a factor of 2562376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t + 16. Let y be h(-7). Let j be 11 + (y + 1 - 4). Let b be 1134\/45 + ((-6)\/5 - -1). Calculate the highest common divisor of b and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, f: 2}. What is prob of picking 2 i?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21170966 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 9*x**5\/140 + 3*x**4\/14 + 2*x**3\/7 - 4*x**2 - 3*x + 40. Let o(w) be the second derivative of l(w). Factor o(v).\nAnswer: 3*(3*v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240381365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10480, -10494, -10506, -10516, -10524?\nAnswer: -10530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -46087 (b) 1\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 4. Let d(t) = 9*t**2 - 33. Let m(u) = 4*d(u) + 33*s(u). Let w(r) = -4*r**2. Give m(w(l)).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l - 46*l - 9 = 0. What are the prime factors of (-10 - -16) + (-317)\/l?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 1)\/((-17)\/(-2278)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 12:05 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56.9 + -57.4. What is the closest to 0 in 2, 3, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9354, -37607, -84694, -150615, -235370?\nAnswer: -338959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(5 - 2*p**2 - 5) - 3*p**2 + 2*p**2 - 2*p**2 + 450*p**2 + 527*p**2 + 333*p**2.\nAnswer: 1303*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-72)\/42)\/(-6))\/((-4)\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -19436.\nAnswer: 1943.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5*20456\nAnswer: -102280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l**2 - 157*l - 1172. Determine z(-9).\nAnswer: 1375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 192?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 828065646?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9497, -9502, -9509, -9518, -9529, -9542, -9557?\nAnswer: -9574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 231*t + 12323. Calculate q(-44).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1943459.\nAnswer: 7, 277637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 1\/6*x**3 + 1\/12*x**4 + 0*x**2 + 0 - x. Determine n so that k(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11347 less than or equal to -2371805\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-2))\/8*2. Let r be 6 + 0\/a + 3 + -1. What is the highest common factor of 104 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as 69\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 9*p**3 + 9*p**3 - 5 + 19*p**3 + 16*p - 37*p + 13*p to q*p**3 + m*p + d*p**2 + w and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = y + 3*x, -608*y - 30*x + 1178 = -604*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -3*y + 0*y**3 + 1\/36*y**4 - 1\/90*y**5 + 0 - 3\/2*y**2. Let u(b) be the first derivative of w(b). Factor u(g).\nAnswer: -2*g*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - 11111101101110?\nAnswer: -11111101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8483 - 8535 = 52*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 5 + -27 - (0 + -8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3) + 1)\/(9\/1701). Suppose -75 = -5*l + b + 236, z = 4*l - 4*b. Let g be 5*24\/90*465\/20. What is the highest common divisor of g and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v + 3*u - 4*u, -2 = u. Sort -5, -1, v, 6 in descending order.\nAnswer: 6, v, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*i - 9 = 328*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212112212 - 1?\nAnswer: -2212112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + x. Let s be k(-2). Calculate the greatest common factor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -547 + 150. Let y = -7249.7 - -6831. Let u = y - i. What is u rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - t - 81230 = 0, -5883 = 4*c - 4*t - 70883. Let n be 1*-2*c\/18. Let s = -444 - n. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 12 = 0, 14*k + 4 = -2*l + 11*k - 2 - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 112786 times 4\nAnswer: 451144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.70288us to days.\nAnswer: 0.00000000044795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 13*g = -16*g - 24, -11*d = 3*g + 84 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8267 - 15922. Let s = h - -13776. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4994 divided by -11?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 4. Calculate i(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/22 + 1995514\/(-893607).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1788589254.\nAnswer: 2, 3, 67, 4449227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 64.2?\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -626*p + 8. Let w(k) = -k**3 - 26*k**2 - 2*k - 44. Let g be w(-26). Let a be j(g). Round a to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-54) + (-2)\/18*-61. Solve -5 - i = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.62990285 - 4?\nAnswer: -11.62990285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknkknnnknkk. Give prob of sequence nn.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1021755942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2\/123, 0.3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 56*b**2 + 55*b + 29. Let t be f(-27). Solve 4*c = -3*h - t*h - 19, -15 = 5*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0525809 or 1123?\nAnswer: 0.0525809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 635, 634, 633, 632, 631, 630?\n\"Answer: -b + 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**4\/11 + 876*a**3\/11 + 1776*a**2\/11.\nAnswer: -6*a**2*(a - 148)*(a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1. Suppose -k - y - 6 - 1 = 0, y - 3 = 4*k. Let o(n) = 0 + 9 + 204*n - 106*n - 100*n. Let h(t) = k*o(t) + 22*j(t). What is h(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 2*q + 77. What is the smallest common multiple of 7 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-6) - (-3)\/(-9). Let s(v) = -v**3 - 3*v**2 - 2*v + 3. Let c be s(q). Suppose -o + c = 2*o. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27 - 0) + 12\/(-42). Let i be -2*13*(0 - 1). Let y = i - f. Calculate the common denominator of y and -2\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29133535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 4. Suppose -c - 3 = -5. Suppose -2*u - v*o = -38, 5*u - c*o - 88 = -0*o. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 41*n**2 + 3. Let x = -115 - -117. Let c(d) = -2*d**2 + 1. Let s(z) = x*w(z) + 14*c(z). Differentiate s(b) wrt b.\nAnswer: 108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**4\/12 - 7*j**3\/6 + 2*j**2 + 3*j. Let w be d(-7). Solve w*o + 0*o = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -500*p. Let v be s(-14). Let r be 10\/(15\/v*2\/6). Round r to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53115445891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 960173600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*u - 657 = -i, 22520*i = 22523*i + 5*u + 41 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 2*m**3 - 3*m - 2135616 + 22*m**2 + 2135615 + (4*m**2 - 4*m**2 - m**2)*(m + 2 - 2).\nAnswer: -3*m**3 + 22*m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*q - 62*q + 73 = -135. Put 5, q, 1, 28, 8 in ascending order.\nAnswer: 1, q, 5, 8, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(1\/14)\/p)*p*p*p)\/p*(p\/(p*p*(p\/(p**(2\/13)\/p)*p*p)\/p))\/p*p**(-6)\/(p\/p**(-3\/4)) assuming p is positive.\nAnswer: p**(-2791\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**3 + 128*v**2 + 11*v + 1282. Calculate h(43).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19382.73nm in kilometers?\nAnswer: 0.00000001938273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3\/2 + j**2\/2 - 561*j = 0.\nAnswer: -34, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10*(-30)\/(-2275) - 6\/39 and -4\/65.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 33*b**3 + b. Let h be d(2). Let f(c) = 100*c + 414. Let a be f(-4). Calculate the greatest common factor of a and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 400636433 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 63.91051 years?\nAnswer: 766.92612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 5721 + b**2 - 118*b**3 + 1008.\nAnswer: -118*b**3 + 6729","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3077\/724 - 372\/24.\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.06 and 155395.\nAnswer: 155394.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-163)\/(-106) - (-370)\/(-9805).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlookhd. Give prob of picking 1 l and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5841 and 495.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0*i. Suppose 0 = 178*h - 177*h - 72. What is the smallest common multiple of 1*(6 + (-2 - i)) and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33773 - 608063\/18. Let j(g) = 67*g**2 - 2*g - 2. Let w be j(-1). Suppose 15 = -2*o - w. Find the common denominator of o and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 1. Let z be m(-1). Let b be (-11 + 10)\/(2\/(-8)). Solve z*a = b*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 129. Let t be r(30). Let b(l) = 31*l**2 - 159*l + t*l. Let c(j) = -4*j**2 + 3*j**2 + 2*j**2. What is b(c(h))?\nAnswer: 31*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**2. Let o(h) = 11*h - 9 - 19 + 3 - 1 - 7*h. What is s(o(g))?\nAnswer: -80*g**2 + 1040*g - 3380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 6, 15, 34, 63, 102?\n\"Answer: 5*i**2 - 16*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 190269169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, e: 3, a: 2, j: 6, m: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -12 + r + 22 + 17 + 1. Let s be v(-28). Suppose x + s*y - 163 = 2*y, 0 = -x - 4*y + 181. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -m - 540. Let h = m - 52. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 12. Let c(i) = 294*i. Determine c(p(j)).\nAnswer: -588*j - 3528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 42187*x**2 + 15*x + 422. Let r be n(-23). What is r rounded to the nearest one hundred thousand?\nAnswer: 22300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one eighths of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + b45bb9?\nAnswer: b45bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 4. Let m be b(4). Suppose m*r + 2 = -r. Sort 5, 3, r.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q + 5. Let z(w) = -5*w - 7. Let m(y) = -8*d(y) - 5*z(y). What is m(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2817, 5207, 7597?\n\"Answer: 2390*k + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5879118619.\nAnswer: 11, 17, 23, 80407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/11)\/o)\/(o*o**(-8\/13)))\/(o**(-3\/4))**(-2\/5) assuming o is positive.\nAnswer: o**(-2149\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1569\/2903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4402 and 7006?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05425 * 0.353.\nAnswer: -0.01915025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/27*(18 - 0). Let t(d) = 11*d - 3 - 13*d + 7. Determine t(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (-19 - (-2 - -7)). Let w = -31 + r. What is the biggest value in 5, -3, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 22 (c) 28 (d) 26 (e) 0.2 (f) -0.3 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t. Let k(d) = 11*d - 66. Let a be k(6). Solve a = -z + 5*j - 2 + 27, t = 4*z - 3*j - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2171*s - 2196*s + 127500 = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*q - 7699 = -87*q + 946 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 87892, 1.94, 3?\nAnswer: 1.94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {v: 1, n: 1, k: 2, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**15\/h*h*h\/(h*h*h**(1\/18))*h**(-7\/2)\/(h\/h**11) assuming h is positive.\nAnswer: h**(184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -29.72.\nAnswer: -27.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 7. Calculate the remainder when 42 is divided by (-2)\/2*(1 + c).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23935375 (b) 2\/3 (c) -0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.69 and -3568.\nAnswer: 20301.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 8 + 6)*(1585*k + 593*k + 45*k) in the form s*k + t and give s.\nAnswer: -13338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 4*o - 26, -29*o + 3 = -26*o for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -694 less than -693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmwgmmmswgmwmgmwmm. Give prob of picking 2 g, 1 m, and 1 s.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -3*m**4\/2 + m**3 - m - 1. Let u(j) = j**3 + 8*j - j**2 - 14*j + 6*j. Determine -p(r) - 4*u(r).\nAnswer: 2*r**3 + r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 10935195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 12403.\nAnswer: -3, 5, 12403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1799*g**2 - 2*g - 15. Let n(c) = -2699*c**2 - 3*c - 21. What is -7*b(u) + 5*n(u)?\nAnswer: -902*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*v + 135*v - 1376. Solve -55 = -v*m - 71 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.902035 microseconds to milliseconds.\nAnswer: 0.003902035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1*sqrt(51)\/sqrt(3))**2 + (sqrt(17) - (sqrt(17) + -1)**2) + -2.\nAnswer: -20 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 3. Let v be z(4). Suppose -v = -r - 0. Suppose r - 8 = 2*w - 5*c, -3*c = 4*w - 25. Solve -5*k - 2*n + 27 = -5*n, -16 = w*n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhttilhhoobo. Give prob of picking 1 b and 1 t.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 - -155. Suppose -i = -a + 14. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6*(235 + 5). Find the common denominator of -17\/18 and (-12)\/(-20) - 446\/z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1 + 1 - 1 + 1 + 2 + 1 - 4 + (-3 + 0 + 4)*(1 - 4 + 1) + 5 - 2 - 5)*(-14*k**2 + k**2 - 9*k**2) to the form m*k + a*k**2 + n and give a.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1902 and 898740?\nAnswer: 284900580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 13\/50*s**5 + 7\/15*s**3 - 1\/2*s**4 - 4\/75*s**6 - 6*s - 1\/5*s**2 + 0. Factor h(a).\nAnswer: -2*(a - 1)**3*(4*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.65 - 0.25. Which is the closest to m? (a) -1 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 417, 729, 1041?\n\"Answer: 312*g + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 6522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d**0*d)\/d)\/d*d)**(-4\/17)*(d**(-1))**(2\/29))**(2\/75))**(-41) assuming d is positive.\nAnswer: d**(164\/2175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -7*w**6\/360 - w**5\/120 - w**4\/24 - 7*w**3\/3 + 8. Let u(c) be the third derivative of x(c). Determine u(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from tjppjjpppjptpppp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121120 + 0?\nAnswer: -121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6685 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*n - 7, v + 4*n - 16 = -0*v. Solve -4*k + v - 12 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9220 - 9227. Put -0.27, p, 0.4 in decreasing order.\nAnswer: 0.4, -0.27, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r**3\/3 - 840290*r**2\/3 + 1680652*r - 2521014 = 0.\nAnswer: -420169\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(3\/(-6)) - -2. Suppose -5*v = -a + 23, -3 + c = 2*a + 5*v. Is (16\/(-3))\/(a\/(-36)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 27 = -47 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*f - j + 47, -106*j + 108*j = 2*f - 18 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -232, -312, -392, -472, -552, -632?\n\"Answer: -80*o - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 1003\/59 - (5 - 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (387\/(-45) - -9) + -2 + 2\/(-20)*-226\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2*j - 5 + 2 = 0, 4*g = 4*j - 807 + 403 + 396 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 4.7, -1\/44.\nAnswer: -2\/3, -1\/44, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + 14. Calculate the remainder when 103 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -9aa164?\nAnswer: -9aa161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(6 - 1) - 0. What is the nearest to 0.1 in -3, -2\/7, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*i = 172*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21*(8\/(-10))\/((-45)\/75). Let g = 79 - i. Let u = g - -151. List the prime factors of u.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 - -36 - 40?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 28333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-5)\/(-1)) - -4. Solve 0 = -s*q + q + 5*x - 25, 0 = 3*q - x + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.995311 tonnes?\nAnswer: 7995311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26892 and 2088?\nAnswer: 1559736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 1. Let l(q) = 8*q**2 + 10*q - 58. Let z(o) = -6*g(o) - l(o). Differentiate z(j) wrt j.\nAnswer: -16*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dpmzwdwzdzw. Give prob of picking 3 w and 1 d.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7740283 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1584) + 3*sqrt(1584) + sqrt(1584)))\/(sqrt(576) - (3*sqrt(576)*-3 + sqrt(576))).\nAnswer: -5*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.406485l in millilitres?\nAnswer: 406.485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let c(o) = 4*o - 1. Calculate c(z) + u(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 2*k**2 + 2. Let g(z) = -3*z**2 + 5*z + 5. Let s(f) = -2*f**2 + 3*f + 3. Let o(c) = -3*g(c) + 5*s(c). What is o(i(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**4)*t**(1\/5)*t**(-4)*t**(2\/15) assuming t is positive.\nAnswer: t**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**6 - 395037*u**5 + 1169*u**2 - 249?\nAnswer: -120*u**3 - 23702220*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -17. Let w = n + -5. Let h = w + -14.7. Which is the nearest to 2\/7? (a) h (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*g - c - c, -g = 2*c. Let z = -0.12 + 0.02. Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6539462?\nAnswer: 2, 79, 41389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 11) to base 9.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 + 134.8. Let q = f - 13. Let v = 7 + -6. Sort -0.1, v, q in decreasing order.\nAnswer: v, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 38 = 3*v, -4 = -3*v + 2*x + 13. Is -23\/329 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - v + 5*v = 0, -3*v = -a + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304765039 and 14077.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 25395, -0.9, -2, 68?\nAnswer: 25395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01166538 to four dps.\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-24))\/((-2)\/510). Let q(v) = -155*v**2 + 125*v - 140. Let y(k) = -11*k**2 + 9*k - 10. Let b(a) = c*y(a) - 6*q(a). Factor b(s).\nAnswer: -5*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*y + 14*y + 30*y)*(10 + 2 + 0).\nAnswer: -180*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5\/6, 5, 34461 in decreasing order.\nAnswer: 34461, 5, 3, -5\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319611?\nAnswer: 3, 106537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:48 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10110111 (base 2) to base 9\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 4*d**2 - 6*d - 3. Calculate x(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m*m**(-1)\/m)\/m)**(-11\/6)*m*m**5*m*m*m**10 assuming m is positive.\nAnswer: m**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 7) to base 8.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85832.864 - -85532. Let j = -390.8669 - h. Let u = -90 - j. What is u rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.624172 milliseconds to weeks.\nAnswer: 0.00000015810875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 61 + 11*x**2 - 6*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0.5 (c) -2\/11 (d) -7\/2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -30 + 3. Let y = 34 + -48. Let m = s - y. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 20*r - 530. Let z(h) = 11*h - 264. Calculate 8*c(k) - 15*z(k).\nAnswer: -5*k - 280","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + (4 + sqrt(80) + 1 + -1 - (sqrt(45)\/(sqrt(9) + sqrt(324)) + sqrt(5) + (sqrt(360)\/sqrt(8))\/sqrt(9)))))**2.\nAnswer: 650*sqrt(5) + 81150\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1279, -1166, -1065, -982, -923?\nAnswer: -894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/(p\/(p*p*p**(-28)*p))*p)\/p)**(-11\/5)*p**(-49)\/p**(-17))**(-9\/2) assuming p is positive.\nAnswer: p**(-837\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 7. Let n be v(-7). Suppose n = 5*f - 14 - 6. Suppose -3*x + 7*x + 3*k - 139 = 0, 4*k = -f*x + 136. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 17. Suppose 0 = s*j - 0*j + 5*r + 30, r + 12 = -2*j. Let t = -3\/13 + 35\/39. Which is the nearest to -1? (a) t (b) 2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*h - 114 - 12 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3584 and 55042560?\nAnswer: 385297920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1213253\/748 + 1622. What is the common denominator of a and 49\/102?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1322, -5268, -11840, -21038, -32862, -47312?\nAnswer: -64388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(320) + (2*sqrt(320) - sqrt(320)))*-4*-3.\nAnswer: 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1466 is divided by 63?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -138 times -0.08\nAnswer: 11.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 7 + -3 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8850100 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24, -23, -16, 3, 40?\n\"Answer: c**3 - 3*c**2 + 3*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*k**2 - 245*k + 245*k + 25*k**2 + 40*k**2.\nAnswer: 140*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 29c20?\nAnswer: -29c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 20.\nAnswer: -23\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3634349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 25*d - 7. Let z(g) = g**2 - 12*g + 4. Let t(r) = 6*m(r) + 13*z(r). Let n be t(8). Let a be (21 - n) + (3 - -1). Are 2\/15 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/17 greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 7:27 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1 - 5)\/(-2))\/1. Let l = 5 - w. Suppose 1 - 11 = -l*i. What is the remainder when 9 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v*(v*v**15)\/v))*v)\/(v\/v**13)*v**(-1\/12)*v*v**(1\/11)*v*v assuming v is positive.\nAnswer: v**(4357\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1118 + 331 = 21*q. Let c(g) = 2*g**2 - 2*g - 1. Let r be c(-3). Calculate the greatest common factor of r and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(-1*sqrt(200)))**2 + -2.\nAnswer: -33\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -224*g - 439. Calculate the smallest common multiple of 1122 and c(-2).\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -13\/3*q - 2\/3*q**3 - 4\/3 - 11\/3*q**2 = 0. What is q?\nAnswer: -4, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1978 - 1726 = 12*s. Solve s*i = -22*i - 172 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -49681770 divided by -8170\nAnswer: 6081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1910 and -17?\nAnswer: 32470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 25*g - 2342. Let j(b) = -11*b + 1170. Determine 4*d(o) + 9*j(o).\nAnswer: o + 1162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20121221020 (base 3) in base 7?\nAnswer: 1052205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p + 2*r = 10, 0 = -2*p + 3*r + 20. Suppose 2*l - 3*l = 5*y + 2, l - 4*y = p. Suppose -2 + l = u. What is the remainder when u is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 - 113. Let x = 6.9999911 + g. What is x rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2 + 7*u + 4. Let h be p(-6). Suppose -h = -2*w - 6. Let n = w + -41. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31b2 (base 13) to base 16\nAnswer: 1af9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704946 is divided by 160.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 2*p + 1. Let z be s(-5). Suppose -68 + z = 4*b. Is -13 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3517*y + 1761*y + 519*y**2 + 1756*y.\nAnswer: 519*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -264*d*o - 67*o - 1 wrt d?\nAnswer: -264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233386 is divided by 1691?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/8)\/(w\/w**(1\/2))*((w*w**(2\/9))\/w)\/(w**(-9)\/w))\/(w**(1\/6)\/(w**10*w))**20 assuming w is positive.\nAnswer: w**(16273\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) - (3 - (-15)\/(-6)). Let i be 106\/(-1) + (0 + f)\/(-4). Let j = i + 189. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -41*o + 2072. Calculate the least common multiple of 22 and p(50).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/1675*(12*25\/(-1500))\/((-2)\/25).\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4 = 2*n + 2*i, 5*i - 3*i = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {g: 3, a: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5463, -5424, -5399, -5388, -5391?\n\"Answer: -7*s**2 + 60*s - 5516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12458152 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*j + 1795*j - 46080 = 0 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + l**2 + 72*l + 465. Let u be c(-6). Is u greater than 2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 92 = 32*u. Let v = -0.28 - -0.28. Let w = v + -8. Which is smaller: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*i - 4 = 0, 21 = q - 3*i + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**3 + 7*p**2 - 6*p - 9. Suppose -17*n + 28 = -13*n. Let z be m(n). Let c = z + -849. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 298785?\nAnswer: 89635.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 + 5545*y**2 - 19960*y**2.\nAnswer: -14415*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 20. Let d be (-14)\/(1 - 2) + z. Let b = 24 - d. What is the remainder when b is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4992*f - 4987*f - 40 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*y - 23*t - 143, -3*y - 34714 + 34698 = -2*t for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6476.94 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v**2 - 208*v + 21. What is i(-30)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -51*o**2 + 0 + 0*o - 1\/30*o**5 + 0*o**4 + 0*o**3. What is s(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*y**2 - 84*b**2*y - b**2 - 37*b + 30407*y**2 wrt y?\nAnswer: 4*b**2 + 60814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 7*x**3\/6 - 53*x**2\/2 + 1953*x. What is l(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 574.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.56624991991 take away 0.02?\nAnswer: 1.54624991991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 152043 to the power of 1\/2, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13768791 - 9729845. Let m(d) = -361053*d**2 - 1. Let y be m(-1). Let o = h - y. Round o to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/5)\/((-50)\/125). Solve s*y - 8 = 8*y, -5*y = -p + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.0498447.\nAnswer: -0.1495341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 658*y**2 + 24*y + 29. Is a(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.21 from -7.\nAnswer: -8.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 6*u**2 + 4*u. Let m be k(-5). Let c(o) = -o + 7. Let t be c(m). Suppose -t*j + 3 + 69 = 0. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 13*k + 88 = 0. What is the remainder when 304 is divided by k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37.77? (a) 4 (b) 1\/2 (c) -2 (d) 3 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11992 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 43*n + 215. What is d(-6)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/406*146\/(-219).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 + -113. Let m(x) = -x**3 + 5*x**2 - 3*x + 2. Calculate m(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 83?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/72 and -10 - (-10 + 3 + 677\/(-220))?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 3 = 2*m. Solve 2*a = -m, 3 + 1 = 4*l - 4*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310169?\nAnswer: 310169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2. Let n(i) = -i**2. Let r(q) = -5*c(q) + 4*n(q). Let u = -3 + 1. Let x(s) = s + 3. Let v(g) = -1. Let y(h) = u*x(h) - 6*v(h). Give r(y(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - 3*i**3 + 2*i**4 - 2*i + 4*i to the form o*i**4 + y*i**2 + r + v*i**3 + d*i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69b (base 14) to base 5.\nAnswer: -20223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -36*i - 97. Let k be x(-3). Solve 0 = -15*q + k - 71 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216798182?\nAnswer: 2, 3, 29, 59, 39509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 108989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v - 20. Let g = v + 0. Let d be -2 + -1 - (1 + 1). Put -1, d, g in decreasing order.\nAnswer: g, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26218 + 13110 - g + 13107 - 10*g**3 - 2*g**2 to c + x*g + l*g**2 + q*g**3 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 157852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -130977*u - 2488564. Calculate p(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11, 5 in descending order.\nAnswer: 11, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -30*c**3 - 5*c - 5. What is the hundreds digit of w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3512 from 11.5.\nAnswer: -3500.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 0 (c) -166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2968\/(-49) + (-597 - -656).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*p - 354*p - 360 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 12216.\nAnswer: 61080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 399324 (base 11) in base 14?\nAnswer: 124866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.56441 + -685.74441. Round o to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s - 6*s - 205*s**2 + 14*s - 7*s.\nAnswer: -205*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x - 118336 = 222*x - 1004612. List the prime factors of x.\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v - 157*v = 189 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-11))\/a*a*a*a*a**(-3\/2)*a)\/(a**(1\/33)*a)**3 assuming a is positive.\nAnswer: a**(229\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 - 34*z**2\/3 + 110*z\/3 - 26.\nAnswer: 2*(z - 13)*(z - 3)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5134 or 5135?\nAnswer: 5135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 9*m**2 - 5*m - 18. Let a be z(8). Let k be 4*a\/7152*2. Is k at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.092846 and -0.6.\nAnswer: 0.0557076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -1805*r + 1804*r - 2559251, 4*q = -r + 2559237. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8434 - -0.025.\nAnswer: 8434.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*o - 589 = o, 4*f - 2*o - 1186 = 0. Suppose 41 = 4*n + f. What is n rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*0.02\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, s: 1, a: 6, w: 2, e: 7}. What is prob of sequence waas?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 78849.13 rounded to the nearest 100?\nAnswer: 78800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/7 - 24*a**3\/7 + 86*a**2\/7 - 48*a\/7 - 160\/7 = 0 for a.\nAnswer: -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 8947*l + 2247*l + 41632*l - 9143*l as c*l + w and give c.\nAnswer: 43683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2407 and 5?\nAnswer: 12035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 3:17 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11002 or 107.52?\nAnswer: 107.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 + -1.2. What is the nearest to -2\/9 in -4\/3, -2, p?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 h when four letters picked without replacement from {h: 3, p: 4, j: 1}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(22) + sqrt(22) + ((sqrt(132) - sqrt(132)*4 - sqrt(132)) + sqrt(132))\/sqrt(6))\/(sqrt(11) - (sqrt(275)*4 - sqrt(11))).\nAnswer: sqrt(2)\/18 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -74994239 and 0.15.\nAnswer: -74994238.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1274885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 1. Let y = -9 - m. What is the second biggest value in 1, y, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/9, -0.3, -0.9, 0.11?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49246 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -93 times 2\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.2, 0.1, -0.1, 1835, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**3 + 17*r**2 + 11*r. Calculate s(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1218830645.04 and -4.\nAnswer: 1218830641.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 19 = -4*l, -441*l + 443*l + 4*r - 22 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/2 - 1\/2. Let v be 21\/((-63)\/12)*-30. What is the highest common factor of f and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o + 5. Let g(n) = -3*n + 4. Let f(u) = -5*g(u) + 4*j(u). Let h(c) be the second derivative of 7*c**4\/12 + 57*c. Give h(f(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.88 + 1.98. Which is the closest to j? (a) 0.1 (b) 1\/2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2)*b)**(-35)\/(b*b**(1\/3)*b\/b**(-4)))**(14\/9) assuming b is positive.\nAnswer: b**(-2471\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1598508.898 to the nearest ten thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 3, g: 6, s: 2}. What is prob of sequence iss?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/91 - 7\/(-98)*2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -fbdc9 (base 16) to base 10\nAnswer: -1031625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -143.11 and -0.8.\nAnswer: -143.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1898 and 45\/208?\nAnswer: 15184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 408 and 357?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**5 + 5*j**5 - 3*j**5 + (-3 + 1 + 3)*(0*j**5 - j**5 + 2*j**5) + j**5 + 3*j**5 + 2*j**5.\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123.6 + 141. Let x = z + -17. Which is the second smallest value? (a) x (b) -0.3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 12:00 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 27, 2, -517, -3, -1 in ascending order.\nAnswer: -517, -3, -1, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-70))\/((-21)\/(-70)). Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 35*w + 13273. Calculate u(-99).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from poppoopoppopppppop?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 13*g**2 - 12*g - 4. Let b(i) = i**3 - 12*i**2 - 12*i - 4. Let l(n) = 7*b(n) - 6*w(n). Is l(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.92000156 + -0.92. Round v to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106145 divided by 4?\nAnswer: -106145\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 58 = 3*i - 2*i, -4*i - 2*d = -232. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpppffpp. What is prob of picking 2 f and 1 p?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (460\/(-2))\/(0 + -28) and -93\/268.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-2\/5)*o)*o*(o*(o*o**(-1))\/o)\/o)\/((o*o*o**(-4\/7)*o*o)\/((o\/(o*o**(-2\/13)\/o*o))\/o)))**(-47) assuming o is positive.\nAnswer: o**(82861\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/(-25)*-5 + 176\/28. Let d = 1.7 + -1.3. Let u(j) = j - 1. Let l be u(1). Which is the nearest to w? (a) 2\/3 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (100 + 3) - (-21 + 18 + -16 + 18).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -90?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179\/6 + -30. Which is the smallest value? (a) d (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + -15 - -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 15*t**3 + t - 2. Calculate w(-2).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1549 - -1549.00016825. What is z rounded to 6 decimal places?\nAnswer: 0.000168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.974 + -0.026. Let a = 175 - 1573\/9. What is the closest to a in j, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -0.4, 2\/5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 25*i**2 - 230*i - 200.\nAnswer: 5*(i - 10)*(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -31, 1, 1\/2 in decreasing order.\nAnswer: 1, 1\/2, -6, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 5, u: 1, s: 3}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from {q: 2, h: 3, g: 3, k: 6, y: 3}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-8)\/5) + (-154)\/(-35). What is the greatest common factor of g and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4 + 0 + 3 + 43*s**2 + 2. Calculate the remainder when q(1) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 7:03 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g. Let n(s) be the third derivative of 37*s**6\/720 + s**5\/120 + 13*s**4\/8 - s**2 - 2. Let d(y) be the second derivative of n(y). Calculate d(v(r)).\nAnswer: 74*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 88362958 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-4*sqrt(68) - sqrt(68))*-3 - sqrt(68))*-6*4)\/((sqrt(120)\/(sqrt(15)\/sqrt(3)))\/(sqrt(54)\/(sqrt(18)\/sqrt(2)))))**2.\nAnswer: 1919232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 4, -5, -182, -2, 0 in descending order.\nAnswer: 21, 4, 0, -2, -5, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**2 - 2*c + 1. Let m be f(1). Suppose l + 12 = 7*l. Suppose m*j = 3*a - 24, -2*j - 16 = -l*a - 3*j. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhh. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -67, -96, -125, -154?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1898698, 3797393, 5696088, 7594783?\nAnswer: 9493478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1163043?\nAnswer: 3, 7, 18461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -51. Suppose 60 = -24*n + f*n. Suppose b - 33 = -n*b. Solve 16 = 4*o - v - b, 0 = 4*o + v - 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037557 to five dps.\nAnswer: -0.00376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796859813 - 520140187 = -15*r. Round r to the nearest one million.\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 - 2*g**2 - g. Suppose 10 = 3*x + 2*x. Suppose 5*j - x*j + 11 = 4*r, -7 = 2*r + j. Give n(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.217, -3\/8, 3, -1.\nAnswer: -1, -3\/8, -0.217, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 2304*r**2 - 243837*r + 246144.\nAnswer: -3*(r - 1)*(r + 128)*(r + 641)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 7 = -18. Let h = 0.36 - 2.96. Let u = 2.7 + h. Which is the nearest to u? (a) g (b) 7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596603.\nAnswer: 7, 85229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/3))**(-15))**38 assuming q is positive.\nAnswer: q**760","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 87 = -93. Let j be 4032\/1932 - 4\/46. Put j, h, 6, -22 in increasing order.\nAnswer: -22, h, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41665 - 292203\/7. Let r = y - -78. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*n + 515*n - 1037*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from {s: 3, v: 7, e: 7, j: 3}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -257b?\nAnswer: 257d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 40, -70, -180?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-89)\/1780*1940 + 84?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*b - 474*b + 977*b.\nAnswer: 1138*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/((-32)\/(-1956)))\/(1\/(-2)). Let d = n + 2818. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3385368 by -18.\nAnswer: 188076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 5*f**4\/12 + 6*f**2. Let n be x(1). Let a be 2\/(-2) - (n\/(-5) - 1). Solve 7*s - a*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*z + 4*z, 2*p - 4 = 2*z. Differentiate -p*r - 17 + r + r wrt r.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 501 + -32. Let w = -123 + 277. Let r = c + w. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 6*l. Let o be j(-6). Suppose o*a = -5*a + 5. Sort a, 5, 4 in descending order.\nAnswer: 5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2524111 (base 6) to base 13.\nAnswer: -499ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11020 - 1?\nAnswer: -11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, a: 1, q: 1, g: 4, l: 1}. What is prob of sequence ggvl?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*h**3 - 4*g*h - 122*g + 9*h**4 with respect to h.\nAnswer: -3*g*h**2 - 4*g + 36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.7, 1\/25, -5 in descending order.\nAnswer: 8.7, 1\/25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2562 by -765.\nAnswer: 854\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 882*t**3 - 33*t - 93*t - 2019*t**3 + 260*t**3 + 879*t**3.\nAnswer: 2*t**3 - 126*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 11 = -g + 2, -9 = x - 3*g. Let j be (-111)\/(-2)*6\/x. Let w = -4 - j. Calculate the remainder when w is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14455 (base 10) to base 7\nAnswer: -60100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/21 - (0 - 2501720\/105) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(242\/(-40)) - (21 + -23)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**9\/10584 + m**7\/1470 - m**5\/420 - 2*m**3 - m - 12. Let d(o) be the second derivative of x(o). Let d(l) = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g**3 + 0*g**3 + 0*g**3)*(-g + 15*g - 9*g) to the form p*g**4 + s*g + q*g**3 + k + l*g**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3270467 is divided by 81761.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 7. Suppose j*a + i - 47 = -i, -5*a + 5*i + 45 = 0. What is the highest common factor of 65 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 9 = -4*t + 3*l, 2 = 5*t - 2*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 8*n**2 + 7*n + 1. Let f be t(7). Suppose -30 = -2*v - 4*b, 4*v + b = 4*b + 71. Let s = v - f. What is the least common multiple of s and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332710.3 litres in millilitres?\nAnswer: 332710300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/490 and -41\/4214.\nAnswer: 21070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17096358?\nAnswer: 2, 3, 157, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2399 - 866. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 3. Let v be n(-5). What is the third derivative of 14*y**v + 2*y**3 - 5*y**3 - 13*y**2 + 4*y**3 wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22065 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010111001001 (base 2) in base 15?\nAnswer: 6791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**6\/720 - 6*i**4 + i**2\/2 + 90*i. Let g(u) be the third derivative of l(u). Let w(o) = 276*o. Determine g(w(y)).\nAnswer: -276*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2047*a**5 - 9479*a**3 - 38708733*a**2.\nAnswer: 122820*a**2 - 56874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 11978455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i + 15*i + 19*i = 0. Let v(q) = q**3 - 3*q**2 - 5*q + 1037. Is v(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (7 + -3)) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 3)*(-13*j - 3*j + j) + (j - 3*j + 0*j)*(-1 + 2 + 1) - j + 0*j + 0*j to the form z + y*j and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8831 and 208.\nAnswer: -183.6848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 8*j - 23 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 325*127\nAnswer: 41275","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/528 and 33\/29120?\nAnswer: 960960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.06 (b) -4894504 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*d*g**3 + 1589*d - 397235*g**3 + 1247*g wrt g?\nAnswer: -48*d*g - 2383410*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 858 + -839. Let u = 14 + -12. What is the nearest to u in -0.4, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**3 + 45*n**2 + 102*n = 0.\nAnswer: -2, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*u**3 - 47*u**6 - 60*u**3 - 75*u**2 + 19*u**6 wrt u.\nAnswer: -3360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-40)\/14)\/((-5)\/35). Suppose -2*d - 4*l = -c, 4*d - 19 = 3*l - 4*l. What is the units digit of 2\/((d\/(-73))\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t - 15. Let s be j(-11). Let m be (1\/3 + 18\/27)*13. Suppose 0 = 11*w - 9 - m. Solve w = -3*k - s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.913144 litres to millilitres.\nAnswer: 4913.144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-6)*i)\/((i**(-2\/17)\/i)\/i*i))**(-39))**(-28) assuming i is positive.\nAnswer: i**(-53508\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33677054443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/5)*u)\/u)**25*(u**(2\/11)\/u)\/u*u**8\/u assuming u is positive.\nAnswer: u**(112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 39\/(-21)) + (-6582)\/(-14). Let r = 245 + b. List the prime factors of r.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2636*w**2 + 2308*w**2 - 7586*w**2 + 2658*w**2.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5503.141 + -1.\nAnswer: 5502.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7297*i**2 - 13547*i**2 + 20821*i**2.\nAnswer: -23*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 1198 + 1167 = 5*l, -30 = -2*z - 0*z + 6*l - 108 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 7:45 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*v + 126. Calculate the least common multiple of v and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/13, 0.2, 0.1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 379*q**4*s**2 + 5*q**3*s**2 + 25803*s**2 with respect to q.\nAnswer: 1516*q**3*s**2 + 15*q**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2323400 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -6 (c) 14814 (d) 1 (e) 4\/25 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**7\/420 - a**6\/120 + a**3\/2 + 3*a**2. Let i(j) be the first derivative of s(j). Find the third derivative of i(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 80, 175, 308, 485?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.9 - -5. Let h(m) = -m**2 - 7*m - 8. Let u be h(-6). Let r be (-42)\/70*u\/(-3). Which is the third biggest value? (a) d (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/5, 11, -0.07?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**3\/3 - 3*z**2\/2 - 320*z. Let d(q) = q**2 - 3*q - 2. What is -2*d(n) + 3*i(n)?\nAnswer: -2*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2056.043156 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*r - r. Suppose -q = -3*q + r. Solve 4*f - q = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 6*h**7\/7 - 8*h**3\/3 - 15. What is the third derivative of n(k) wrt k?\nAnswer: 720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17757258 divided by -141.\nAnswer: -125938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*s = 4*v - 24, -4*s + 2 = -2*v. Suppose -2*l - m = -9, v*l - 4*m + 10 = -0*m. Suppose -l*q + 18 = -4. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f - 1. Let m be w(5). Let i = m - -32. Let z = 70 - i. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -1\/3*s**3 - 27*s - 3*s**4 + 1\/10*s**5 - 1 + 18*s**2. Factor r(j).\nAnswer: 2*(j - 18)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2917\/35 at least -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1426 + 229. Let f = -1295.4 - v. Round f to the nearest integer.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 6*p - 6. Let z be w(-5). Let k be (112\/(-2))\/(4\/144). Let s = 2019 + k. Put z, -2, s in increasing order.\nAnswer: -2, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 356*p - 7712. What is w(-23)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 2) + 1 - 4808. Let p be (1\/(-3))\/(6930\/k). Let a = p + 3\/55. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 1, h: 2, y: 1, w: 1, c: 2}. What is prob of picking 2 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 84\/(-63)*(-6)\/4. Let x(i) = 13*i**3 - i**2 + i + 3. Let h be x(v). What is the highest common factor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37599721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 - 218. Let r(j) = j**2 + 14*j - 41. Let x be r(q). Solve x*y - 5*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 - c - 5. What are the prime factors of s(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j**3 + 4*j**2 + 4*j - 5. What is a(2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:51 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t - 1. Let y(c) = 29*c - 2. Let j(v) = -8*b(v) + 3*y(v). What is j(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3756*z - 15177. Calculate u(-4).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w**3 - 32133*w**2 + 19*w**3 - 41*w**3.\nAnswer: -37*w**3 - 32133*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73, 298, 679, 1216, 1909?\n\"Answer: 78*w**2 - 9*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*p + 2*p - 11 = 0, -4*w + 24 = 2*p. Let b be 33*4*w\/2. Suppose 3*a + 5*h - b = 0, a = h + 54 + 100. What is the highest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k. Suppose -4*p = 3*q - 138 + 115, 3*p = 4*q + 11. Let v(o) = -9*o + 2. Calculate q*v(x) - 6*t(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 680478 by 3.\nAnswer: 226826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5987.7 take away -213728?\nAnswer: 207740.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 5. Let k(x) = 3*x + 14. Let d(i) = -2*k(i) - 7*o(i). Let f be d(-4). Solve -6*l + f*l + 9 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -0.155?\nAnswer: 0.1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106087*f**4 - 248*f**3 + f**2 - 62434333*f?\nAnswer: -1273044*f**2 - 1488*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.204636 millennia?\nAnswer: 2455.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 462*k + 78564. What is w(-170)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*v, 0*r - 5*r + 828 = -v. Suppose 3*z - 121 = z + 5*l, 0 = -3*z + 2*l + r. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/19 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*l - 6*l + 3*l)*(8 - 9 + 3)*(l**2 + 0*l**2 - 2*l**2).\nAnswer: -4*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*d + 2*d + 9*d to the form j*d + c and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from {o: 3, t: 1, d: 4, h: 5, e: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57091027117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 1, s: 1, u: 1, x: 1}. What is prob of sequence gu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12746055 and 305439.\nAnswer: -12440616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 17. Suppose -x = j - i, 2 + 2 = 4*i. Let h = 0.9 + -0.4. Which is the smallest value? (a) -0.5 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.905 * -1.7284.\nAnswer: -36.132202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -5 (c) -103\/14 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.21, -0.3, 924390?\nAnswer: 924390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n - 3*a + 149, 375 = 5*n + 5*a. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*f + 12. Suppose 2*g + 43 = 4*g - 5*p, 0 = -4*g - f*p + 16. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/3)\/(-18))\/((-8)\/(-48))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14444.\nAnswer: 2, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -673 or -0.059?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 2:02 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -695*y + 2782. Let c be v(4). Solve -3*f + 3 = 0, 2*z - c*f = 4*z + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3039 + -2854. Calculate the remainder when 516 is divided by k.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422239 minus 0.6?\nAnswer: -422239.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 16*a - 13. Give p(-16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 27*u + 154. Let r be h(-19). Solve 4*k - 2*k - 6 = 0, 4*k - 16 = -r*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dttttdzsgt. What is prob of picking 1 g and 1 z?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*n = 3, r = -4*r + 3*n. Let j(w) = 1 + 3*w**r - 4*w**2 - 2 - 2*w**3 + 3. Calculate j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 5*r + 46, -8*i - 97 = -r - 205 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**4\/12 + 7*t**3\/6 - 2*t**2 + 17*t. Let z be a(4). Calculate the greatest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.676 - -2.324. Which is the third smallest value? (a) 1 (b) -6\/7 (c) 2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 142 = -4*t, 4*t - 3*g - 81 - 53 = 0. Let q = -24 + t. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80522 and 1132742?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 120, 133, 152, 177, 208, 245?\n\"Answer: 3*y**2 + 4*y + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 8*p**2 + p + 5. Let x be k(-8). Let g(j) = 12*j - 3. Let h(i) = -23*i + 5. Let v(l) = x*h(l) - 5*g(l). Let z(d) = 3*d. What is v(z(b))?\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-7 + -6 - (11 - 34))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6360 (base 7) in base 13?\nAnswer: -103b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -45, -17, 11, 39?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:53 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18564734 divided by 106?\nAnswer: -175139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31882?\nAnswer: 2, 19, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oajyyyrrrorr. What is prob of picking 1 r and 1 j?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1928 - 1930) + 2\/2)*59.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.19 in 2, 0.43, 9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 - 12*b**2 + 8*b**2 to z + d*b + m*b**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29160492\/13 - -87248285755\/38896. Let i = 18\/187 - f. Calculate the common denominator of i and -61\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 4*o = 22, -2*k = -28*o + 27*o + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-552)\/(-21)*1176\/1344.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 92*z**3\/21 - 12*z**2\/7 - 125. Factor g(r).\nAnswer: 4*r*(23*r - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a. Let l(i) = -11*i - i - 9*i - 28*i + 11*i + 36*i**2 + 3. Determine l(m(k)).\nAnswer: 36*k**2 + 38*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/6*144\/40. Suppose 5*s + 2*c = 0, -3*s + v*s + 5*c + 19 = 0. Determine q so that -1\/4*q**s - 1\/2*q - 1\/4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*a - 3, 3 = 6*a - 3*a. Let m = b - 0. Let s(l) = -l**2 - l + 12. Does 6 divide s(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.166 + 19.266. Let z be 1\/(-15)*(-3 - 0). Put -4, z, 4\/7, i in ascending order.\nAnswer: -4, i, z, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4354*0.2.\nAnswer: 870.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**4\/4 + 32*q. Let s(v) = -36*v**2. What is s(h(l))?\nAnswer: -324*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eggkkekgkgkeeeggekg. Give prob of sequence ke.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*l - 0*l. Let s be (-1)\/((-3)\/((-6)\/(-1))). Suppose -50 = -s*w + 40. Calculate the highest common factor of w and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/5)\/((-2)\/(-25)*1). Factor 0 + r**2 - i*r**3 + 0*r.\nAnswer: -r**2*(5*r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z**2 - 4*z**3)*(-21048 + 21048 + 264*z) - 4*z + z**4 + 4*z.\nAnswer: -1055*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/4)\/z**5*z**3*z\/((z**(-3\/4)*z)\/z) assuming z is positive.\nAnswer: sqrt(z)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16048139 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/5 (b) 893\/7 (c) -2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8720.313 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 103, 2, -5 in increasing order.\nAnswer: -5, 2, 10, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 88950322609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 292, -12 in descending order.\nAnswer: 292, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -487 + -6127?\nAnswer: -6603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-28)*(-15)\/(-10).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 3*t + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3 = -c, 5*x = -5*c - 26 - 4. Calculate the common denominator of c + (-108)\/(-20) - 161\/165 and -143\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y**3 + 54*y - 53. Determine u(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-24) - (-85)\/(-4). Let k = -14 - t. Let o = k - -4. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-5))**(-8)\/((v\/(((v\/v**7*v)\/v)\/v*v)*v)\/v)**(5\/4) assuming v is positive.\nAnswer: v**(-227\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13968 - -23963. Is (6 - (-1 + 8))\/((-1)\/r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2914? (a) -3\/4 (b) -1\/5 (c) -1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 553*s**3\/6 - 3*s - 108. Let q(a) = 2*a. Calculate y(q(h)).\nAnswer: 1106*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-4))*a**(-26))**(-14\/9))**(6\/5) assuming a is positive.\nAnswer: a**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddmm when four letters picked without replacement from qmmdqqdmdmdqqdq?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**4\/12 - g**3\/6 + g**2\/2 - 5*g. Let r(j) be the second derivative of j**4\/3 + j**2\/2 - j + 10. Determine -r(y) + w(y).\nAnswer: -3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3396 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**29*l\/(l\/(l\/l**(-15\/2)*l)) assuming l is positive.\nAnswer: l**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3864, 3863, 3862?\n\"Answer: -g + 3865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10871340 and 4201128?\nAnswer: 1239332760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -372162728 divided by -724052\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1359031 + 2312142. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4203 - -4203.00016967. What is r rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1906028*z - 1906028*z + 6*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30141415 (base 7) to base 8.\nAnswer: -11416067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -519382 (base 12) to base 13\nAnswer: -35b09a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -46. Which is smaller: f or 1\/73?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 13*g**2 + 7*g - 11. Suppose 3*p - 68 = -230. Let d = p - -67. Does 10 divide m(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 0) + -3 - -3. Let r = -2 - q. Let p = 3 - 2.6. Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.812858g in nanograms?\nAnswer: 1812858000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1513*d + 2762*d + 4*d**2 - 1249*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0 - 16. Suppose 0 = -4*s - 12 - 4. Let d be 1 + 5\/((-5)\/s). Solve -41 = -5*y - b*h, y = 3*h - d*h + 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -117*(-56)\/364.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 + 6*j - 211. Let x(g) = -5*g**2 - 5*g + 208. Let l(c) = 4*n(c) + 3*x(c). Determine s, given that l(s) = 0.\nAnswer: -20, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157014*h - 3 - 156919*h + 195*h**2 + 271*h**2 wrt h.\nAnswer: 932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6a (base 12) to base 13\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (7 - 3)) + -119 - (365 - 375) - -9\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - 9*h**3 - 2*h**3 + (-4*h**2 + 4*h**2 + 2*h**2)*(-868*h + 480*h + 1377*h)*(5 + 0 - 3) to the form g*h**2 + n*h**3 + j*h + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + (1*sqrt(735) - sqrt(735)) + sqrt(15))\/(-2*sqrt(20)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -1. Let 11*o - p*o - o**3 - 5*o = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 79*p**2 - 991*p - 97. Let l be m(-90). Which is the second biggest value? (a) -1\/4 (b) l (c) 9\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0, -2\/285, 4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:58 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2. Let w be (15\/(-12))\/(-5)*-4. Let l be (-2 - w)*20\/(-10). Let b(u) = -u**2 - 6*u**2 + 6*u**l. What is r(b(m))?\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1151689 at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/193 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 0 - 11*a + 1\/2*a**2 - 7\/3*a**3. What is the first derivative of z(h) wrt h?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-60) + (132\/(-10))\/3. Let l be (0*(-1 - -2))\/(-1). Put 2, h, l in descending order.\nAnswer: 2, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 - 6*p)*(-12473*p + 5 + 6186*p + 6234*p).\nAnswer: 318*p**2 - 30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 11383269?\nAnswer: 11383270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7\/2867 - -1599751\/14335. Suppose 5*g = -2*v - 565, 0 = -6*g + 2*g + 4*v - 424. Let n = a + g. Put 0, -2, n in descending order.\nAnswer: n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 335 + -637. Let q = -299 - s. Suppose 16\/3*g**2 - 10\/3*g + 2\/3 - 8\/3*g**q = 0. What is g?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1920 = 6*x. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80267571 is divided by 2009?\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125510700 divided by -50.\nAnswer: -2510214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2*(r\/(r\/(r*r**15)))\/r*r)\/(r**(9\/2)\/r**(-7)) assuming r is positive.\nAnswer: r**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -91 + 91. Let r be 2 + -1 - 1 - 3. Sort f, 2, r in descending order.\nAnswer: 2, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 28*l - 35. What is the hundreds digit of p(-34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21631 + -21635. What is the second biggest value in 2, s, -0.5, -1007?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-231)\/140)\/(-11)*(-1)\/(-6). Let q = l + 59\/40. Put q, -2\/7, 6\/11 in ascending order.\nAnswer: -2\/7, 6\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 465 and 55232235?\nAnswer: 55232235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -29431.25 rounded to the nearest one hundred?\nAnswer: -29400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1413913288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 6 = m, -2*c + 19990*m - 9989*m = -6*c + 9991*m + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2845*t**2 - 7*t + 6. What is u(1)?\nAnswer: -2846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-10))\/(1\/(-5)). Let o(d) = -d**2 - 7*d - 6. Let g be ((-6)\/5)\/((-9)\/(-45)). Let i be o(g). Solve i = l + 2*s + 9, u*l - 3*s + 2 = 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, 4, -34, -3 in ascending order.\nAnswer: -97, -34, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from iziziizziiizyizyizii?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1351402118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -36927*j - 24. Suppose 0 = -3*f + 2*s - 13, 2*s - 2 = 5*f + 13. Is z(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0412 + -0.9642. Round v to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 8*r + r - 17*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:10 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 58*u - 451. Determine i(8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/5))**(-8)*(x**(-1)\/x)\/x**(3\/4))\/((x**(2\/3))**11)**(-22) assuming x is positive.\nAnswer: x**(8843\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3060495 less than -73856948?\nAnswer: -76917443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -6 (b) -1\/3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 12138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a - 44. Let o(j) = -2*j**2 - 135*j + 210. Let x be o(-69). Let m(t) = 4*t + 45. Determine x*m(r) + 2*s(r).\nAnswer: 2*r + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g + 40. Let f be 102\/g - 3\/(-12). Suppose -2*k + 37 = -3*v, 15*v - 17 = 16*v + 4*k. Is v equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1775 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1680 and 62510420?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9aac8 (base 13) to base 6.\nAnswer: 10004201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + x - 1. Let k(f) = -10*f**2 - 10*f + 10. Suppose 5*z - 4*z - 1 = 0. Suppose 4*c = -4*d + 4, 0 = -5*c - 4*d - z + 7. Give c*k(b) + 18*q(b).\nAnswer: -2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(6\/((-2)\/7 + 732\/(-427)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128353501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 9*c + 1288. Suppose 25*d - c = 17*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -36635*p + 808. Is u(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 + 19*w + 9. Let f(k) = k**2 - 9*k - 5. Let r(s) = 5*f(s) + 2*q(s). Let m(n) = n**2 + 6*n + 6. Let o = 3607 - 3613. What is o*r(a) - 7*m(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18726196 is divided by 1040344.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 1. Let w = b - 5.8. Let r = 5.8 + w. Sort 1\/11, 1, r in decreasing order.\nAnswer: r, 1, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*w + 57*w + 7*w + 23*w)*(-74*w - 77*w - 255*w) to the form v*w**2 + x + j*w and give v.\nAnswer: -42630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5825585949?\nAnswer: 3, 43, 61, 740321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38402?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9005*y**3 + 9005*y**3 - 18013*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.92738ml in litres?\nAnswer: 0.00392738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1990, 16042, 54192, 128488, 250978, 433710, 688732?\nAnswer: 1028092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 less than -7787489212?\nAnswer: -7787489542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393424491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g - 5. What is the derivative of -2 - 120*o**2 + g*o**3 + 120*o**2 wrt o?\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 10:53 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -1\/9, -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(425)*-2 + sqrt(425) + sqrt(425))*5 + -4)**2 + -4 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4144772130 divided by 6.\nAnswer: 690795355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (4 - ((-5 - -5) + -1))) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96396 and 18096.\nAnswer: 5012592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -5*b + 20, 7*b - 3*b - 13 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**3 - 3*n**2 + n - 3. Let p(s) be the third derivative of -s**6\/24 + s**5\/12 + s**3\/3 + 218*s**2. Let x(r) = -6*m(r) - 5*p(r). Determine x(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 2*v + 12, -32 = -3*v + 5878*p - 5882*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 31) + 1 + 1 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 5. What is the units digit of 38\/j*(-1 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8320259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrfb when four letters picked without replacement from {v: 1, n: 2, b: 1, f: 1, r: 1, g: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 2 - 3 + 4*z. Suppose -3*l - 12 + 36 = 4*a, -4*l - 5*a = -31. Give v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 5. Let g be u(-6). Let w = -0.3 + 0.3. Let v = -0.6 - -1.1. Which is the biggest value? (a) g (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -8 - -9 - (8 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + p**2 - p - 7. Suppose 0 = i - 2 + 1. Suppose 0 = a - i - 2. Suppose -a*s + s = -3*l, 0 = -4*l + s. What is g(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28 + (2 - -14)\/(-4). Calculate the highest common factor of 36 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -21*l**4 - 33*l**3 + 165*l**2 - 210*l + 99. Let a(f) = -2*f**4 + f + 1. Let m(j) = 9*a(j) - c(j). Determine t so that m(t) = 0.\nAnswer: -15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(960\/70)*2*1\/(-7)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 23. Let m = 0.174 + -5.174. Which is the nearest to -0.1? (a) 3\/7 (b) m (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 156.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2. Let g(t) = 151 + 156 + 19*t - 307. Give n(g(f)).\nAnswer: 1444*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 34*d + 10. Determine t(-5).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 110 - 106. Let s(r) be the second derivative of 0 + 0*r**2 - 5\/6*r**g + 5*r + 0*r**3. Let y(z) = 2*z**2. Calculate s(y(p)).\nAnswer: -40*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8197, 3, -22 in descending order.\nAnswer: 3, 2, -22, -8197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = -2*k + 2, -4*k = 5*m - 29. Suppose k = -3*q + 7. Solve q*l + l = 6, 14 = 5*c - 3*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1316664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1, 8, 19, 34, 53, 76, 103?\n\"Answer: 2*n**2 + n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b - 3. Let r(h) = -h. Let j(v) = -2*q(v) + 11*r(v). What is j(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 2*p + 2. Let t(j) = 3*j**2 - 2*j - 5. Let v(x) = -3*x**2 + 3*x + 5. Let d(o) = 2*t(o) + 3*v(o). Determine -10*b(w) + 4*d(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0076 * -1\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2\/6 - 174\/(-18)) + 4 and 2632.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 357633 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 - 6.1. What is the closest to 1 in 3, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -205*l**2 - 60*l - 25. Let n(y) = 17*y**2 + 5*y + 2. Let b(z) = -25*n(z) - 2*p(z). Find the second derivative of b(f) wrt f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 666*c - 670*c + 157, 5*q + 253 = 4*c - 6*c for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 divided by -26156?\nAnswer: -119\/26156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483*-286340.\nAnswer: 138302220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -31*t**4\/2 + t**3\/3 - t**2\/2 + t + 295. Calculate r(1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 17*i - 14*i - 22, 0 = 4*i + x + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i + 1. Does 9 divide r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7808598325 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**5\/20 - t**4\/4 - 2*t**3\/3 - t**2 + 3*t. Let o be u(-2). Differentiate -7*j**2 - 13*j**2 + 15*j**o - 7 wrt j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4*b - 24 = 0, -5*o + 20 + 2 = -3*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7378787 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/4*(-6 - -1). Let i be (16\/(-20))\/(4\/u). Suppose 16 = 2*m - 2*d, 0 = i*d + d + 12. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105000 is divided by 1457?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**4 - 4*s**4 + 4*s**4)*(0 + 3 - 4) + (30*s - 30*s + 18*s**2)*(s**2 - 3*s**2 + 4*s**2) to the form n*s**4 + h*s + q + x*s**3 + c*s**2 and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 3*g**2 - 4*g + 7. Let w be b(-4). Find the second derivative of 26*c - 8*c**2 - 9*c**2 + w*c**2 wrt c.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2610579 is divided by 1305247.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 55*b - 18. Let q(p) = 59*p - 18. Let c(v) = 13*g(v) - 12*q(v). What is c(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 7, h: 9, u: 1, j: 2}. Give prob of sequence huh.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-888)\/15540 - 72\/(-35). Suppose 12 = -4*i - 0. Put i, h, 8, -2 in ascending order.\nAnswer: i, -2, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, p: 4, m: 2, a: 2, r: 1}. What is prob of picking 2 a and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*(sqrt(77) + (sqrt(77) + sqrt(77)*2)*6))\/(-2*(sqrt(7) + sqrt(21)\/sqrt(3))*-4).\nAnswer: -1 + 19*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t = -26*t + 5*f + 10, 6 = -3*f. Let h be (-10)\/(-60) + 118\/12. Suppose -2*x = 4*n - h, -4*n + 2*x = -3*x - 17. Solve t = -n*b - 2*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163 - 282. Let b = -463\/4 - g. Calculate the common denominator of 32\/7 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -4, -84, -15.\nAnswer: -84, -15, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 2039 = 113. Calculate the remainder when c is divided by 50.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342*-2173\nAnswer: -743166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 + 21*p**2 - 4*p**2 - 3*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -5\/4, 39, -123, -0.2, 0.037?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*y + 18*y + 138. Solve u + 24 = y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168962857?\nAnswer: 7, 24137551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 11 - 6 - o + 0*o. Calculate b(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/40*((-96320)\/(-84))\/43?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.5 (b) -1\/44 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239, 16, 13964 in ascending order.\nAnswer: -239, 16, 13964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/1530 and -35\/5304.\nAnswer: 79560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 4*i + 2*i**2)*(-1 + 1 - 2*i) + (2*i**3 - i + i)*(-1 + 2 - 3) - i + 12*i**2 - 8596 - 5*i**3 + 8596.\nAnswer: -13*i**3 + 12*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 14*r**2 - 14*r + 16. Let u be l(15). What is the highest common divisor of u and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 55 + 3231*w - 15 - 21)*(w**2 + 5*w**2 - 5*w**2).\nAnswer: 3231*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32154.\nAnswer: 2, 3, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 773241890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013404 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2065700*n**3*r + 5*n*r + 65*n - 9*r + 73 wrt n.\nAnswer: -12394200*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.375 - 0.235. Let i = y - -0.56. Round i to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49308\/20545*(-470)\/(-12).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -785600*m**2 - 1776217*m.\nAnswer: -1571200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1. Let l = 31 - 23. Let s(b) = -2*b**2 - 14. Let g(d) = l*i(d) - s(d). What is the derivative of g(v) wrt v?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2552008 is divided by 612.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/(-1491)*443\/2215.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 + 11 = -i. Suppose -i*b - 9338 = -125*b. List the prime factors of b.\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.41 in -1, -54, 0.053?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31\/78 + -3\/13. Let a(l) be the second derivative of f*l**4 + l + 0 + 0*l**3 - 1\/20*l**5 + 0*l**2. Find the third derivative of a(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12254, -24502, -36750, -48998, -61246?\nAnswer: -73494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 77\/33*(-1 + 10). Solve 2*a + 26 = 5*l, -3*l + 5*a - 2*a = -g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**5\/150 + m**4\/20 + 2*m**3\/15 + m**2\/2 - 2*m. Let a(z) be the first derivative of j(z). Factor a(t).\nAnswer: 2*(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174318451 to the nearest integer?\nAnswer: 13203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7*m - 5*k = 9, 0 = -4*k. What is the derivative of 39 + m*a - 23*a - 13 wrt a?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 0, -2*i - 2*i = 4*q + 88. Let w = -12 - q. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-1 - 66\/(-2)). Suppose -3*a - 5*b = -34, 5*a = 3*b - 7*b + l. Let t be -1*(1\/3)\/1. Put a, t, -1 in increasing order.\nAnswer: -1, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/9 + 6\/27. Suppose -5*d - 4 = -3*j + 15, -d + 4 = 2*j. What is the biggest value in f, d, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/7 - 235626*k**2\/7 + 4711582*k\/7 + 16255434\/7 = 0. What is k?\nAnswer: -3, 23, 117793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from krlkvikikiriiirelv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56879, 113758, 170641, 227540, 284467, 341434?\nAnswer: 398453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -208 or -209?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2\/4 - 21057*o + 210495 = 0.\nAnswer: 10, 28066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 7, -33\/4, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144 - -31. Let q = 166.3 - i. Let m = 8.725 + q. Round m to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 22, -19, -130, -335, -658, -1123?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 5*a + 4 + 18, 5*d = 3*a - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 168100 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.79, -2\/19, 25.\nAnswer: -0.79, -2\/19, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24 + -0.1106452.\nAnswer: -0.3506452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -826 - -838. Let z be (-2)\/(66\/o - 5). Let m(f) = -f - 4. Calculate m(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1) + (-1)\/3. Let r be 1*-2*1\/2. Let n be r + 1 + (-21)\/42. Which is the nearest to w? (a) -4 (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317077, 317167, 317257?\nAnswer: 317347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/15*((-378)\/12 + 154\/(-14)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b + 10792?\nAnswer: 10703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**5 + 2268870*q**4 + 2268845*q**3 - 9075480*q**2 - 9075460*q = 0. Calculate q.\nAnswer: -453773, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 6\/3901085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -14. Let i(n) be the first derivative of -n**3\/3 - 8*n**2 - 9*n + 630. Let t be i(a). Solve 0 = k + k + t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecjepjjjpepjj. What is prob of sequence ppp?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1762798 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 73*i**2 - 621*i + 1367. Calculate y(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 4855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012221221 + -2?\nAnswer: -1012221223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 18. Suppose 6*y - g*y - 216 = 0. Calculate the greatest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 5*u**2 + 7. Let p = 5 - 0. Let k be h(p). Suppose 0*m = -28*m + 84. Solve 4*l = -m*q + 16, 0*q = -q - 3*l + k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5122 + 4038.\nAnswer: 9160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 99*i - 324.\nAnswer: 3*(i - 3)*(i + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 3028.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41\/111 + 755\/1443. What is the nearest to -24 in c, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.08 and -2288130.80761.\nAnswer: -2288133.88761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/8, 3, -1\/22?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t. Let s(w) be the second derivative of 1\/2*w**2 + 0 - 1\/24*w**4 - w + 0*w**3. Let v(a) be the first derivative of s(a). What is o(v(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9176*y + 3973?\nAnswer: -9176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 - (-42)\/(-7)) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**3 - 17*a**2 - 193*a + 1265 = 0.\nAnswer: -11, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 4*r**2 + 7*r - 10. Let t(x) = x**2 - x + 1. Let w(k) = l(k) + 2*t(k). Let m be w(6). Is m\/12 + (-19)\/(-114) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 12:23 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 9*q**2 - 11*q - 11. Let p(f) = f**3 - 18*f**2 - 60*f - 73. Let z be p(21). What is c(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1823648545 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 - 2*g**3 + 4*g**2 + (-4*g**3 + g**3 - 5*g**3)*(-2 - 1 + 4) + 2*g**2 - 2*g**2 + 2*g**3 + 0*g - g**3 + 0*g.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9090, -9989, -12382, -17001, -24578?\n\"Answer: -122*j**3 - 15*j**2 - 8953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -1\/15*o**3 + 1\/600*o**6 + 1\/1050*o**7 + 0 + o**2 - 1\/24*o**4 - 1\/100*o**5 + 0*o. Factor s(i).\nAnswer: (i - 2)*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**3 + 60*r**2 + 252*r + 196 = 0?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 880.1651mm?\nAnswer: 88.01651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 3)*(9*b + 0*b - 6*b - b) in the form f*b + z and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1 + 9 + -1. Let q be 329\/63 + (-2)\/9. Suppose 2*n + n = -3*p + 18, 15 = q*p + 2*n. What is the greatest common divisor of r and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559136 is divided by 1537.\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13*4 + -9 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 2*x - 2. Let w(a) = 8*a**2 - 47*a + 6. Determine 3*m(v) + w(v).\nAnswer: 11*v**2 - 53*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 133, 129, 123, 115, 105?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (22 + 1 - (13 - 5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6129?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -191 in -2, 1\/2, 5, 1, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24773, -62, 4, 1, -5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/7))**0\/(m**14\/(m\/(m\/m**(-24)))) assuming m is positive.\nAnswer: m**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 0*i**3 - 27 - 30*i**2 + 1\/20*i**5 - 1\/2*i**4 + i. What is the derivative of r(m) wrt m?\nAnswer: 3*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36936 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1188.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/27*1150\/(-1265)*33\/(-4).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 0, 4*r + 5*z - 12 = -140. Let k = -24 - r. Suppose -1 + 17*j**3 - 1\/2*j + k*j**2 + 7\/2*j**5 + 13*j**4 = 0. What is j?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152662597 divided by 56773?\nAnswer: -2689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 + 6*k + 11. Let l(d) = 4*d**2 - 6*d - 10. Let g(p) = 2*l(p) + 3*o(p). Let q be 154\/16 - 24\/(-64). Let i be g(q). Round i to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.972 - 5.43. Let u = v - 0.042. Let y = 12 - 37\/3. What is the second smallest value in -4\/7, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 52 = -14*f. Let b(v) = -v**2 - v + 2. Let a(w) = 3*w - 4. Let g(d) = f*a(d) - 9*b(d). Calculate g(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36622757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -11*g**2 - 15*g + 17. Let p(h) be the second derivative of h**4\/3 + 5*h**3\/6 - 3*h**2 - 17*h - 1. What is 17*p(k) + 6*q(k)?\nAnswer: 2*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22230.5 + 22231. Sort s, 0.4, -8\/121, 0.1, 1\/3.\nAnswer: -8\/121, 0.1, 1\/3, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 95*f**2 - 8*f - 10. Let g be p(-6). Let t = -1611 + g. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 5. Let g be c(-5). Suppose -g*v = -9*v - 5. Suppose 2*i + 2*i - v*z - 232 = 0, 0 = 5*i + 4*z - 331. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21287.232us to hours.\nAnswer: 0.00000591312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 61 + 1 + -5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*w - 189*w + 114*w + 512*w.\nAnswer: 680*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/69663 and 31\/51.\nAnswer: 1184271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -31. Suppose -8 = d*r - 38. Solve -r = p + 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1628 = -3*o + 5*k, 2*k - 4*k = 8. Suppose -5*i - 2*f + 271 = -280, 5*i = 3*f + o. Calculate the remainder when i is divided by 61.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12324 + -231?\nAnswer: -13110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -1\/12*i**4 + 1\/120*i**6 + 1\/6*i**3 - 1\/30*i**5 + 0 + 0*i - 17*i**2. Give j(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:10 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-72)\/(-10)*(0 + 5). Let s = c + 33. What are the prime factors of s?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6410 - 166?\nAnswer: 6211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18689845 + 0*l**2 + l**2 - 17865823.\nAnswer: l**2 - 36555668","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4432.193l in millilitres?\nAnswer: 4432193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*v*y**3 + 320*v*y**2 - 26*v + 1531*y**3 - y**2 wrt y?\nAnswer: -150*v + 9186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/53 and 56\/3.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*x + 91. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-26) - 40\/(542880\/(-1334))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/9, 0.05, -4\/7, 5\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a916 (base 16) to base 9.\nAnswer: -285151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-1 - -3)*-2. Let u(q) = q. Let x(a) = a**2 - 8*a - 11. Let z(r) = w*u(r) - x(r). Let c be z(6). What is the biggest value in 5, c, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.497 to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 77*f - 927. Determine h(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2126744276 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3110808893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -547693.999945 + 547677. Let g = p - -17. Round g to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/373 or 0?\nAnswer: -4\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i**(1\/3)*i*i)**18\/((i**(2\/11)*i)\/(i\/(i\/i**(6\/5))*i)))\/(i\/i**(-1\/7)*i**(-5\/4))**(-38) assuming i is positive.\nAnswer: i**(71569\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 764769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 440*i**2 - 143*i - 2. Let l(s) = -220*s**2 + 61*s + 1. What is 7*l(p) + 3*y(p)?\nAnswer: -220*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166 + -75. Suppose 2*i = -1 + z. Suppose -9 = -6*s + i. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 981 and 107.\nAnswer: 104967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/3, 161\/6?\nAnswer: 161\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 1) + 1 - 2. Let p(a) = -7*a**2 - a + 1. Determine p(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/2*(-82)\/(-4). Suppose -2*b + r = 41. Suppose 5 - b = -4*a. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/8 of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2\/(-85))\/(280\/(-600)*(-108)\/(-63))?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 15, 3, -269.12, 1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 33038.73239 to the nearest 100.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a - 55. Let f(u) = 2*u - 27. Determine 9*f(o) - 4*z(o).\nAnswer: 2*o - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/21463 and 38\/127.\nAnswer: 21463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 2. Let w be g(-4). Suppose w*k = -3*k + 15. Solve -3*a + 18 = k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 221.77 + -223. Let z = o - -6.23. Which is the biggest value? (a) z (b) -23 (c) 2\/9 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10799 and -28.49.\nAnswer: 307663.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 528, 527, 526, 525, 524, 523?\n\"Answer: -q + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrqqrrrr. Give prob of sequence qr.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/6)*b\/b**(-13\/4))**(7\/2)\/((((b\/(b*b**0))\/b)\/b)**(-18)\/(b\/(b*b**(1\/4)))**(5\/3)) assuming b is positive.\nAnswer: b**(-149\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from gkgiggjje?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143*i**2*y**2 + 3*i**2 + 2*i*y**2 - 3*i*y + 2*i + 2*y**3 - 22 wrt y?\nAnswer: -286*i**2 + 4*i + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/(-8))\/((-2)\/(-4)). Let a(f) = f**3 + 9*f**2 - 2*f - 12. Let m be a(y). Suppose m = h + 2. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.015, -2, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 115 and -20668.6783.\nAnswer: -20553.6783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 995 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6231 is divided by 158?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inove. What is prob of sequence nvi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23229 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123340 - -5?\nAnswer: -123331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 1635.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15583*b**2 - 15636*b**2 - 15*b + 15*b.\nAnswer: -53*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 974 + 213. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpp when three letters picked without replacement from jjttwwtwptw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 3*q**2 - 2*q - 1. Let d be j(2). Let o = -10.99 + 14.99. Let t = -0.5 + 0.8. Which is the nearest to 1? (a) t (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14374800 divided by 11?\nAnswer: 1306800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1767 - -1767. Let l(c) = -c**2 + 24. What is l(a)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287151?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20447, 80315, 179603, 318311?\n\"Answer: 19710*z**2 + 738*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, v: 8, g: 3, o: 1, t: 1, y: 2}. What is prob of picking 1 v, 1 y, and 1 o?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 + -106. Let m(w) = -4118766*w + 256. Let q be m(r). What is q rounded to the nearest one million?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 10582282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.34 + -0.09. Let z = l - 0.05. Which is the biggest value? (a) 0.3 (b) 3\/19 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 88\/(-33))*30\/4. Let r(m) = -6*m**3 - 3*m**2 - 12*m - 3. List the prime factors of r(l).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1 - 1 - j. Let l be -5 + 5 + 2 + 0. Let p(x) = l*x - 2*x + 3*x**2 - x**2. Give b(p(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3 = 12*g - 31 - 29, 63 = y + 10*g + 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/1335 in -2, 1\/1447, 6?\nAnswer: 1\/1447","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3\/7 - 6\/7*g + 6\/7*g**3 + 3\/7*g**2 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 15*p**2 - 6*p + 15. Calculate b(-15).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f + 248*f**3 - 135*f**3 - 170*f**3 - f**2 - 7*f.\nAnswer: -57*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 = q, 5*q - q + 2*g = 50. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 16805779\nAnswer: -5\/16805779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -542*l - 4631. Does 2 divide f(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let u be x\/(-4)*(-48)\/18. Let 0 - u*j + 4*j**4 + 4*j**2 - 22\/3*j**3 = 0. Calculate j.\nAnswer: 0, 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 - z**3 - 1039*z + 3*z**3 + 1056*z to h*z**3 + a*z + c + b*z**2 and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 71. Suppose -5*z + 44 + 32 = 2*t, -4*z - 3*t = -j. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 42*d**2 - 146*d + 979. What is the least common multiple of 1550 and v(7)?\nAnswer: 20150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/9 - 5\/(45\/(-192)). Suppose -6*x - k = -81. Solve -3*l - 2 = x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s = -38*s - 3*g - 24168, -2*g = -s + 8059. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 5:15 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*k - 5273 - 19243 = -1742*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.048803431 times 4\nAnswer: -0.195213724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/314756 and 3\/32.\nAnswer: 2518048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 30*v**2 + 29*v**2 - 3*v - 53*v**2. What are the prime factors of z(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f. Let t(m) = m - 7. Let b(z) = -z + 4. Let h(x) = 7*b(x) + 4*t(x). Calculate h(k(u)).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*z + 4, -29 = 2*i + 4*z + 3. Let q be 6\/4 - 4\/i. Find the second derivative of 10*f - 26*f**q - 160 + 12*f + 160 wrt f.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95640 rounded to the nearest one thousand?\nAnswer: 96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 2*g - 1. Let d be x(3). Solve -3*m - 5*l = -0*m + 14, 2*m + 8 = -d*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 478 - 478 + 35*g**2 to the form s + a*g**2 + z*g and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1, -2, 0, -0.563, -0.082?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.101 - 55.899. Let t = c - -55.7. What is the biggest value in 0.2, 0.1, 4\/3, t?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 + 0.35. Let f = -4\/31 - 7\/186. Which is the closest to z? (a) f (b) 3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 89 = -10. Let p be (3 + b\/(-9))*-42. Let c = 30 - p. Solve 2*t - c*u + 0*u = -16, 2*t - 3*u + 21 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*h = 2, 8 = 176*u - 171*u - 4*h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2102022 (base 3) to base 13\nAnswer: a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17478 and -1388507?\nAnswer: 1371029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 18. Let x be h + 2 + (-15)\/(-5). Suppose d = -3, -4*i = 2*d + x - 519. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12147936*p**3 + p**2 + 4383887 wrt p.\nAnswer: 72887616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -23641520 = -23641520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/923356 and -173\/462.\nAnswer: 30470748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) -3 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -763, -823, -931, -1093, -1315, -1603, -1963?\nAnswer: -2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2807166.381684 and -5.5.\nAnswer: -2807171.881684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*m = -12, 2*y = 6*m - 7*m - 7. Let j(c) = -13*c - 7. Let q be j(y). Solve q*i - 15 = 9*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(17) - sqrt(459)\/sqrt(3) - sqrt(17)) + (sqrt(1088) + sqrt(1088)*-1 - sqrt(1088)) + 1)**2.\nAnswer: -66*sqrt(17) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2\/9, 1, -4.\nAnswer: -7, -4, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(0*h - 2*h - h)*(0 + 5 - 2)*(-1 + 4 - 1).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 185*o - 3802. Let v be r(21). Which is smaller: 43 or v?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253506 to the power of 1\/2, to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = 2*z. Let j be (-6)\/(-9) + 1\/3. Let k be (-1 + -1)*j\/3. Which is smaller: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 236.7 - 227. Let o = b + 50.3. Let j = o - 59.934. Round j to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(6*(-2)\/(-258)). Suppose 667 = 3*l - b. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 8*u + 7. Let w be v(-7). What are the prime factors of (1 - w) + -3 + 12?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6782 = -a - 2*b, a - 67*b - 6794 = -63*b. What are the prime factors of a?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrf when four letters picked without replacement from rrrf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (4 - 2) + (-8 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 + 1 = 33*v. Solve v = 4*m - 4*p + 24, 0*m + 5*m - 3*p + 24 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 + -443\/6. Sort h, 0.5, -1.\nAnswer: -1, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031104430 (base 5) in base 9?\nAnswer: -4133222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/10268 and 23\/2873?\nAnswer: 1735292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -9*f**2 + 129*f - 40. Let l be t(14). Suppose 2*g - 55 = -55. Solve g*x + 8 = -l*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-22) - 45\/(-66) - (73 + (-1907917)\/26322)\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -5, -0.048, -0.13, -0.1 in decreasing order.\nAnswer: -0.048, -0.1, -0.13, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**0)**42)**(-1))**46)**(-12) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/10)\/((a*a*a\/a**13*a*a*a*a)\/a*a))**(-14\/3) assuming a is positive.\nAnswer: a**(-427\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/15 - 27\/(-5). Suppose j*y - 5*o - 21 = 14, -3*y = -5*o - 31. Suppose -15 = -x - y*x. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -872.16999920573 + 872.17. Round a to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 8*f**2 - 22*f + 20. Let d be b(10). What is the units digit of (-4)\/(d + 6\/(-45))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4089665303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3982 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + -ddb?\nAnswer: -dca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1329216*i + 5*u + 475 = 1329196*i, -2*i + u - 55 = 0 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(5\/9)\/t**15)\/(t**(-10)*t)**30 assuming t is positive.\nAnswer: t**(2300\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = m + 55 - 174, -261 = -3*m - n. Solve 0 = 57*t - m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + y - 2*y + 3*y as k*y + o and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502*i = -498*i - 1208. List the prime factors of i.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, d: 2}. Give prob of picking 1 r and 2 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 1 (c) -1\/8 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -0.0049312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046450924 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7888995 and 1505?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 11*w + 2. Let o = -50 - -83. Let f = o + -17. Calculate the least common multiple of z(-12) and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 times 8\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, i: 2, s: 1, c: 4, t: 2}. Give prob of picking 2 i.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minus 18180.49?\nAnswer: -17774.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31112 - -31112.262. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-2 - -1))*3. Let k = v - 1. Suppose -t = -k*t + 2. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 11 (b) 1.7239 (c) 0 (d) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7*q = -2*q - 6, -5 = -c + 4*q. Let j be c\/21*(-1 + 1). Factor -3\/5*k**3 + 0*k + j*k**2 + 0.\nAnswer: -3*k**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.1 minus -0.4019491?\nAnswer: -18.6980509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-185)\/296)\/((-8)\/128) - (38 - 1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 179*h**3 - 11*h + 2*h**2 - 3*h + 12*h.\nAnswer: 179*h**3 + 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0583 and 279265354662.\nAnswer: 279265354661.9417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*r - 455*r + 234*r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1175 + -1175.12. Which is the third biggest value? (a) -0.4 (b) o (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 361, 24.38, 0.1 in decreasing order.\nAnswer: 361, 24.38, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 727, 0.959?\nAnswer: 727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*v = -63*v - 288. Calculate the remainder when 202 is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -31, -38, -45, -52?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035231753 to 5 decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 111*u**2 - 19*u - 150. What is the tens digit of j(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*(sqrt(77)*2 + sqrt(77)))\/(sqrt(55)\/(sqrt(5)*1)) + 1.\nAnswer: 1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(18\/(-2))\/27*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141930355.\nAnswer: 5, 7, 23, 157, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -139954*0.4\nAnswer: -55981.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 5 (b) 0.1 (c) 0.5 (d) 16403 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -228 - 380983\nAnswer: -381211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -40*l. Let g(w) = 2120*w. Let c(q) = -3*g(q) - 160*v(q). Let z(j) = -2*j. What is z(c(x))?\nAnswer: -80*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7964 is divided by 3520?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*j - 16*j - j**2 + 36*j to the form r + m*j + w*j**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 48 = 2*f. Let q be (-2)\/4*2*f. Suppose c = 3*p + 40, -188 = -5*c - 5*p + q. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(14\/5)*((p*p\/p**(4\/9))\/p)\/p assuming p is positive.\nAnswer: p**(106\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/1373 - -78253\/10984. Find the common denominator of (134\/(-20))\/(1 + 0) and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 - 4 = 0, l = -2*s - 34. Let m be 35\/26 + l\/(-156). What is the second biggest value in 1\/4, m, 2\/163?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1553 + 483. Find the third derivative of -2055 + n - 3*f**4 + f**2 + 86*f**4 wrt f.\nAnswer: 1992*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*w + 281*w - 862*w + 291*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 3*m**2\/2 - 3*m + 1. Let i be o(-6). Let t = -14 - i. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 - (0 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3508 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10157146 is divided by 131.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/3 (b) -1 (c) 1 (d) -5 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2349*j - 7060. Calculate k(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170.68774 - 0.31226. What is the fourth smallest value in 0.4, g, 4\/5, -5, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29992394 divided by -802\nAnswer: 37397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/r**(-2\/5))**(-2\/19)\/(r**(-2))**(-13\/2))\/((r*r**(1\/2))\/r*r\/(r*r**(-2)*r)*r\/r**(-8)*r**(1\/7)) assuming r is positive.\nAnswer: r**(-31921\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 2*r + 2*r)*(4*r - 2*r + 2*r) - 4 - 3*r**2 + 4 - r to t*r + w*r**2 + p and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = s + 11, 17*t - 18*t + 5*s = -23 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1576 divided by 394?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/5 + 13*r**3\/5 - 46*r**2\/5 + 12*r\/5 + 72\/5.\nAnswer: -(r - 6)**2*(r - 2)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -6)\/(528 + 1). Let y = q + -43899\/2116. What is the common denominator of y and (-104)\/6 - -1 - 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100101110100101000100 (base 2) to base 10.\nAnswer: -3336516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*k + 68 = 6*k, -2*k - k - 87 - 661 = 46*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4601*u + 5573. What is the units digit of h(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 6*p + 14. Calculate the remainder when 41 is divided by w(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.5687 times 44332\nAnswer: -158207.6084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 3*f - 0*f + 53, -4*t + 10741 - 10676 = -7*f for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101100011110010 (base 2) to base 15.\nAnswer: -641dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104023342 (base 5) to base 10.\nAnswer: -454847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -31*m**2 - 23*m**2 + 52*m**2. Let z(q) = 8*q. What is z(n(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(64)\/(sqrt(24)\/sqrt(27) + sqrt(8)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16862 divided by -227?\nAnswer: -16862\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 82408634 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753192787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-1 - (-12)\/2). Suppose 2*i = r + 7. Suppose p = -4*d - 15, -3*p = -p + i. Let u(x) = -x**3 - 4*x**2 - 3*x. Calculate u(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 - 91 = 20*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52467, -52416, -52331, -52212, -52059?\nAnswer: -51872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/171 and 43\/99954.\nAnswer: 1899126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**3. Let k be v(-1). Suppose k*h = -45 + 255. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19916360 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 33*s**2 + 87*s - 37. Let c be v(-30). Solve -c*x = -51*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 503875 + 5462875 = 0. Round q to the nearest 10000.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 33. Suppose -5*v + p*k = -9 + 24, -2*v = -4*k + 12. Solve v*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14507 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -129, -210, -397, -732, -1257?\n\"Answer: -7*x**3 - 11*x**2 + x - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2548))\/(2*sqrt(100)))**2.\nAnswer: 637\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24771\/14 - 1768. Calculate the common denominator of n and -23\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/14322 and 157\/11823834.\nAnswer: 82766838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2661*m + 2660*m + 4*c, 0 = 5*m - 14*c + 44 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y - 2*y + 4*y + (-2 + 2 + 3)*(2 + 0 + 0)*(5*y - 2*y + 2*y) to the form g*y + u and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334584242*l**2 + 1 + 669168715*l**2 - 1 - 334584472*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-7))\/(8\/28). Suppose 2*w = 6 - 16, -s*w = 5*l + 35. Let v = 9 + -4. Put l, 2, v in descending order.\nAnswer: v, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g\/(g\/(g\/g**(-8)))*g*g*g*g*g\/(g**(-6)\/g))\/(g**(-1))**(-16)*(g**14\/((g**(2\/11)*g)\/g*g))**(-9) assuming g is positive.\nAnswer: g**(-1181\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 6*n - 2. Let p be 1\/(-2 + 33\/18). Let h(i) = i**3 + 7*i**2 + 8*i + 7. Let l be h(p). Let s be b(l). Solve s*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, -0.4, -0.6, -1115 in decreasing order.\nAnswer: -1\/16, -0.4, -0.6, -1115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -108.40762 to the nearest integer.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1755, 2098, 3065, 4980, 8167?\n\"Answer: 54*q**3 - 12*q**2 + q + 1712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 1)\/(2\/(-24)). Is c >= 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 5, n: 3, o: 4}. What is prob of picking 1 o and 1 z?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.556 take away -13260434007?\nAnswer: 13260434013.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 347*b*q**6 + 312641*b*q**4 + 32*b*q**2 - 940*b - 1434*q**2 wrt q.\nAnswer: 41640*b*q**3 + 7503384*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135 - -135 - ((1 - 1) + 9)) + -7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 284606928 to the power of 1\/2, to the nearest integer?\nAnswer: 16870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(143) - (sqrt(143)*-1 - sqrt(143))))\/sqrt(11).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 15432 + 6132. Let c be w\/(-8)*(99\/(-51) - -2). Let s = 105\/17 - c. Find the common denominator of s and 99\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/15 - 88*y\/5 - 266\/15 = 0. What is y?\nAnswer: -1, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 + 11*n**2 + 9*n - 21. Is h(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3240.638 millennia to years.\nAnswer: 3240638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 40. What is the remainder when 114 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 + 60. Let p = 18 + m. What is the units digit of (-4)\/6*(-948)\/p*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*z**4 - 2818746*z**3 + 3063804*z**2 - 245104*z = 0.\nAnswer: 0, 2\/23, 1, 61276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57636309?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18 - 3\/((-6)\/(-4)). Let k = b + -11. Let p be 132\/(-8)*(-10)\/15 - 5. Solve 4*n - 2*n = -f, k*n = -f + p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -790*w**2 - 2*w - 59 wrt w?\nAnswer: -1580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42310*d**3 + 9 - 9 + 42309*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.977 - -0.023. What is the closest to -2\/5 in -0.1, 2\/7, f, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082478 divided by -3?\nAnswer: 360826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:42 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93621*a**2*i - 7327*a*i - 63*a - i wrt a?\nAnswer: -187242*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.28 + 72.22. Let n = v - 76. Which is the second smallest value? (a) 11 (b) 5 (c) n (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115033539119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4331642 (base 7) to base 13.\nAnswer: 156968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1249876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 6.02. Let u = -0.28 - m. Which is the third smallest value? (a) u (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 - 80*v**2 - 534*v - 305. Determine g(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23 (b) 8 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(972)*-2 - sqrt(972)) + -1*sqrt(972)*2)\/(sqrt(216)*-1*-6 + 6*2*sqrt(216)).\nAnswer: -17*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -148*z + 155*z = -77 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z - 6 = -39*z. Let x(l) = l**3 - l**2 + l + 1. Let h be x(-1). Let q be ((-17)\/(-1) - 0) + h. What is the greatest common divisor of z and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 + 2*m**2 - 88*m - 90. What is c(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 - 6*j**2 + 2*j - 3. Let s be d(4). Let u = s + -22. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:04 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 653, 652, 653, 656, 661?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.3, 1\/2, 1?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + u**5 + 26708*u**2 + 1 - 26789*u**2 + (-2*u**4 - u**4 - 3*u**4)*(-2*u + 3 - 3).\nAnswer: 13*u**5 - 81*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -49. Suppose k*t - 370 = -115. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*2*((-2 + sqrt(1008) - sqrt(1008) - sqrt(1008))*4 - (sqrt(1008)*1 + 4)))**2.\nAnswer: -7603200 - 432000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092*z - 6843*z - 1199024 = 3001*z for z.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + d - 4*d = 13703, -5*b = 5*d - 17155. Let w = 6787 - b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1078485 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 3*w + 4, 3*y - 3 = 3*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*f + d, 336*d - 331*d - 10 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.41 times -3381\nAnswer: -1386.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 311507504*z**2 - 650921*z + 13 wrt z?\nAnswer: 623015008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -13*a + 11*a. Which is bigger: -19 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 44 + n**3 - 181 + 55.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13333022 (base 5) to base 13.\nAnswer: 4a267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -369265 divided by -437\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(-3*(sqrt(36)\/sqrt(2) + sqrt(18)))\/(sqrt(30)\/sqrt(45)).\nAnswer: -270*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(342\/99 + -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/((8\/12)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -2 - (-176)\/(-4). Let m = 156 + v. Calculate the highest common factor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 v when three letters picked without replacement from ttshhshhvtv.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*k - 6*k**2 + 25*k)*(3*k**2 - 10*k**2 - 2*k**2) + 0*k**4 + 3*k**4 - k**4 + (-k**3 - k**3 + 0*k**3)*(0*k - 2*k + k) + 3*k + k**4 - 3*k.\nAnswer: 59*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -342 (base 5) to base 12\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -141 (b) -102\/7 (c) -759 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 24*w**2 + 4*w - 24.\nAnswer: -4*(w - 6)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmmtmqmmmlmtmm. Give prob of sequence ql.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2. Let r(j) be the third derivative of -j**4\/12 + 34*j**2. Calculate r(q(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofoiioiooif. What is prob of sequence ii?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + 0.1. Let s = j + -0.4. Let k = s + -1. Round k to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22342, -22340, -22338, -22336?\n\"Answer: 2*d - 22344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 3. Let u(x) = 5*x - 7. Let t(r) = 6*u(r) - 14*z(r). Let q(k) be the third derivative of -4*k**5\/15 - k**3\/6 - 2*k**2 - 63*k + 81. Give q(t(l)).\nAnswer: -64*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/144093 and 1\/1189.\nAnswer: 171326577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 497 + -61. List the prime factors of i.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 11 = 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4 - 1 + 2 - 6 - 7*m. Calculate v(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -19. Let m(b) = b**2 + 4*b + 7. Let k(h) = h**2 + 3*h + 6. What is r*k(p) - 4*m(p)?\nAnswer: p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u*x**2 - u*x + 326274*u - 6095*x wrt x.\nAnswer: 4*u*x - u - 6095","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-172 - 175 + 296)*(0*k + 0*k - 2*k + (6 - 5 + 0)*(-k + 4*k - 2*k) + 0*k + k + k - 1 - 5*k + 1).\nAnswer: 204*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7575, -7571, -7555, -7521, -7463, -7375, -7251, -7085?\n\"Answer: l**3 - 3*l - 7573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1 (c) -22 (d) -0.2 (e) -12\/25 (f) 0.4 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, p: 1, d: 1}. Give prob of sequence drp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 182382 divided by -113\nAnswer: -1614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -1\/2, 0, -0.043, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i**2 + i + 3. Let n be x(0). Calculate the common denominator of -73\/12 and 46\/n*(-6)\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1275 - 6077 - 2307 + 7*n - 3*n - 3*n in the form h*n + u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.482428ml to litres.\nAnswer: 0.002482428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 234836.8211 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86.6 + -87. Let c = -1.94 + -0.06. What is the nearest to c in -4, 2\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 11:52 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*h + 19*h + 149 - 151 - 10*h as v*h + p and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -110a9 (base 11) to base 10\nAnswer: -16091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + (0 - -1) - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/8507 - -875966\/723095. Let g = -24\/17 + r. Which is greater: g or -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.15104ml to litres.\nAnswer: 0.07515104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-eight thirds of a century?\nAnswer: 27200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 389643700 rounded to the nearest one hundred thousand?\nAnswer: 389600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u - 13 - 10*u**3 + 9*u**3 + 6*u to z*u**2 + l*u + k + m*u**3 and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 5*t + 0*t - 11. Let k be q(-8). Let b(z) = -z + 7. What are the prime factors of b(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + -5)*2\/2. Let l = 6 + 0. Suppose -4*h + l*h - 6 = 0. Solve 0 = -h*v + q*v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*o - 15 = -c, 54 = -5*c + 3*o. Is (c + (-5090)\/(-6))*6\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 13, w: 5}. Give prob of picking 4 l.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -739*c - 20. Let i be o(6). Let y be i\/(-14) - 2\/14. Let j = -212 + y. List the prime factors of j.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 464 + -20?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67258 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 80*s**2. Let j(r) = -229*r**2. What is j(y(t))?\nAnswer: -1465600*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1756*b**2 - 2169.\nAnswer: 3512*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62333373191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5230 or 5234?\nAnswer: 5230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4158\/(-10080))\/((-22)\/10).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2307 = 45*t - 305 + 497 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 18*f - 41. Let i(q) = -14*q + 41. Let a(w) = 3*i(w) + 2*o(w). Calculate the remainder when 326 is divided by a(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17369 is divided by 8630?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166424 is divided by 43?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**6\/420 - b**5\/210 - 17*b**2. What is v in y(v) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5\/5 + 1408*s**4\/5 + 252002*s**3\/5 + 295676*s**2 + 2934392*s\/5 + 1948816\/5 = 0 for s.\nAnswer: -349, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 10 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0 - 36 = -t, 0 = 4*l + t + 48. Let s be (-8)\/l - (-26)\/(-3). What are the prime factors of 3\/6 - 124\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 divided by -25?\nAnswer: -308\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*x - 144, 5*u + x = -0*x - 387. Let n = 77 + u. Suppose t - 1 = n, -5*a = 2*t - 103 + 21. Solve -f + 5*f = -a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 2}. What is prob of sequence hc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64297 = -g - 4*p, -3*g + 2*p = -16497 - 176436. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028 = -32*p - 868 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -272975 - -249226136\/913. Let f = 4073 - 338063\/83. Let o = f + m. Calculate the common denominator of o and 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = 2*d - 10*m + 2, 5*d = 3*m + 47. What is the greatest common factor of d and 5446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9022*i**4\/5 + 135318*i**3\/5 - 396788*i**2\/5 - 528*i\/5 = 0 for i.\nAnswer: -6\/4511, 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 14) to base 13.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.05, -1672.\nAnswer: -1672, -0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 4*3\/(-20). Let x = -10.13 + 0.13. Let f = x - -10.4. Which is the second smallest value? (a) 5 (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.87 - 219.87. Let a = -216.999566 - b. Round a to five decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -202, -208, -216, -226, -238, -252?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3786786?\nAnswer: 2, 3, 79, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3147 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2578451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -130*n. Let a be c(-1). Let l be a\/35 + (-6)\/(-21). Suppose -2*f = -l*j + 60, -3*j - 2*f - f + 36 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*y + y - 65 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 20\/3*t + 10*t**2 + 5\/3 + 20\/3*t**3 + 5\/3*t**4 = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(300) - (5*sqrt(300) - sqrt(300))) + 4 + -2))**2*2.\nAnswer: -240*sqrt(3) + 5408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 greater than -1566\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-6) - (-46)\/(-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 611, 610, 607, 602, 595?\n\"Answer: -j**2 + 2*j + 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 172436 = -4*p, -15*p = -5*z - 12*p + 215533. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -77*x**3 - x**2 + 1. Let c(t) = -3*t + 16. Let q be c(6). Is d(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x - 2310 = 72*x - 151 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 48*w**2 - 10*w + 23. Is 43 a factor of u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**4 - 3*m**4 - 4*m**4 + (4*m - m - 2*m + (-3 + 6 - 2)*(-1 + 2*m + 1) + 10*m - 3*m + 17*m)*(-2*m**3 + 5*m - 5*m).\nAnswer: -56*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11462697 is divided by 1011.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 41 = 17. Calculate the lowest common multiple of 12 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5 + 8*j**4 - 134*j**3 - 548*j**2 + 672*j = 0 for j.\nAnswer: -7, -6, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/14 - (-2)\/14. Let v be -2 - -5 - (h - 4). Solve -4*x = -4*p + 4, v*p = -15 + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -79.8? (a) 6\/7 (b) -5 (c) 188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 1. Let x(o) = o**3 - 2*o**2 - 4*o + 6. Let b = 58 - 46. Let y be b\/18*6\/(-4). Determine y*x(s) - 6*g(s).\nAnswer: -s**3 + 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -17098*k. Let g(p) = 13031*p. Give g(y(q)).\nAnswer: -222804038*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6957 is divided by 118?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -405.4.\nAnswer: 2432.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8)\/n**(-13\/4))**6 assuming n is positive.\nAnswer: n**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v. Suppose -4 = -2*t + 3*l, 4*t - l - 4 = 4. Let m(r) = -16*r**2 + 0*r**t - 3*r**2. Give d(m(z)).\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29040.663 months?\nAnswer: 242.005525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -303, 2\/25, 8, -1, 3\/5, -0.4, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 697*v**3 + 3*v**2 + 2*v - 2. Let h be t(3). Suppose -5*d + h = -21150. What is d rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 31 + -26 + -131 + 195.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003158083 rounded to 4 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25574*v**3 - 368*v**2 + 16872929.\nAnswer: -76722*v**2 - 736*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-57*s + 5 - 3*s + 103*s)*(4*s**2 + s**2 - 3*s**2) to r*s + m + o*s**3 + v*s**2 and give o.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 8*r. Suppose -6*j + 8*j - 10 = r. Let p(q) = q**2 - 3*q - 4. Calculate p(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 minus -1714.1?\nAnswer: 2398.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 67 + 4*a**5 - 67 + (-3*a + 0*a + 2*a)*(-2*a**2 + 2*a**2 - 2*a**4).\nAnswer: 6*a**5 - a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhcb. What is prob of sequence hb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*b - 20 = 0, 4*u + b + 5 = -0*b. Suppose -4*v + 2*r + 40 = u, 17 = 4*v - 5*r - 23. Calculate the smallest common multiple of v and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**4 + 6605684*r**3 + 12*r**2 - 19817060*r + 13211368 = 0. What is r?\nAnswer: -2, 1, 1651421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -39, 5, 18, -12.\nAnswer: -39, -12, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -797 - 2*i**2 - i**4 + 0*i**2 + 3*i + 795 to the form c*i**4 + j + k*i + a*i**3 + n*i**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 23. Solve -q - b = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 11*y**2 - 13*y + 23. What are the prime factors of a(8)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(-3*y - 5*y + 28*y) + 3*y + 2*y - 4*y + (2 + 1 - 2)*(y - 3*y + 3*y) + 2 + 2*y - 2 in the form r*y + a and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 46*h**2 + 2349*h - 34562. Give s(-63).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -121a7 - -1b80?\nAnswer: -10327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 71, 3 in increasing order.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7160 by -5.\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*o**4*v**2 - 38*o**2 - 34*v**2 - 3*v wrt o.\nAnswer: -28*o**3*v**2 - 76*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 814363001 and 1597.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4872\/1305)\/((-6)\/450*-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 + (-2)\/(-3). Let y(j) be the second derivative of -r*j**4 + j**3 + 1\/21*j**7 - j - 2\/5*j**5 + 2*j**2 + 0 + 0*j**6. What is a in y(a) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 8:41 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 8. Suppose 2*s - 4*z + 0*z = 30, 5*z + 47 = 3*s. Let r = s + 11. What is the remainder when r is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (71 + -63 - (8 - 0)) - 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 1. Let p be f(5). Let v(k) = 2*k - 2 - 4*k - 17 + p*k. Does 17 divide v(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 504, -0.05, 53, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102.1 - 5.1. Let m = 81 - g. Which is smaller: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -5*c**4\/12 - 118*c**3\/3 - 47*c**2\/2 - 9424*c. Calculate a(-47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 - 8*n - 9. Let j be c(-6). Let o = -3635 + 3639. Suppose -o*w - j = -7*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 19 (b) -28 (c) 0.3 (d) -2\/123\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 = -m - 28, 0 = 2*m - 3*l - 16. Let y be (-1)\/((-1 + (-129)\/(-126))*m). Are y and -21 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-4\/17))**18\/((v\/v**(-1)*v*v)\/v**(11\/4)))**(-2\/79) assuming v is positive.\nAnswer: v**(-851\/2686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276863229?\nAnswer: 3, 47, 67, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36503303 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 808*d**3*j**2 + d**2*j**2 - d*j**2 - 4*d + 106*j**2 wrt d.\nAnswer: 4848*d*j**2 + 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (663*w**3 - 372*w**3 - 345*w**3)*(2*w**2 - 4*w**2 + w**2 + (-4 + 5 - 3)*(4*w**2 + 0*w**2 - 2*w**2) + w - 2*w**2 - w).\nAnswer: 378*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 4*t**2 - 5 + 8*t**2 + 4. Let g(u) = 2*u**2 + 4. Let c(n) = -6*n**2 - 16. Let d(z) = -c(z) - 4*g(z). What is d(b(k))?\nAnswer: -1152*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11341 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 25 - 3 - (2 - (1 + -13)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153837376 by 8.\nAnswer: -19229672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from {f: 6, n: 3, u: 2, g: 2, t: 1, d: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.9, -2, 4 in increasing order.\nAnswer: -2, -2\/11, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 1\/((-2)\/30). Let q be 30*2\/x*4. Let o = 410 - 250. Calculate the greatest common divisor of q and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Let j be i - (-2 + 0) - -2. Suppose 0 = -j*x + 3*x. Which is greater: 2\/13 or x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111 - -20414252?\nAnswer: 20414403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6366, 6360, 6340, 6300, 6234, 6136, 6000?\n\"Answer: -d**3 - d**2 + 4*d + 6364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2736) - (0 + sqrt(2736) + sqrt(2736)))**2)*-5 + 4*(-3 + sqrt(2736) + -1).\nAnswer: -13706 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (50 - 46) - (-8 + -1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 - -155. Suppose -u + 0*u = 3*i + 128, 3*u - 2*i + 362 = 0. Let m = u + 182. Calculate the greatest common factor of k and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -10973, -1.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2266)\/(-1596) + -1 + 0. Let j = 1\/114 + u. Which is the third biggest value? (a) 5 (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 737 - 229 = -127*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/3*(-30)\/25. Let w = 11 - r. Solve -2*d + 5*y = 0, 2*y = w*d - 2*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2 = y. Let z(i) = -27*i**2 + i - 1. Let b be z(y). Sort -4, b, -3 in descending order.\nAnswer: -3, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 2*y - 5*y)*(4*y + y - 3*y) + (-y - 3*y + 2*y)*(-2*y + 3*y + 0*y).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pappappappp. What is prob of picking 2 a?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**8\/20160 + b**7\/1008 + b**5\/2 - 79*b**2. Let g(z) be the third derivative of i(z). Determine g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9972\/42 + 8\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48, 81, 146, 249, 396?\n\"Answer: v**3 + 10*v**2 - 4*v + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y = -n - 242, -3*y = -5*n - 154. Suppose 0 = 15*k - 13*k - y. What is the remainder when k is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y. Let k(z) be the third derivative of 0*z**4 + 53*z**2 + 0*z - 1\/6*z**5 + 0*z**3 + 0. Calculate t(k(x)).\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 1. Let u be w(0). Let o be 19927\/(u + 1356\/1355). Suppose o = -4*s - 24198915. What is s rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15743912 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-9))\/(59\/(-30) - -2). Suppose 6*g = t*g - 8. What is the third derivative of 5*x**g + 9*x**2 + 0*x**2 + 5*x**4 + 2*x**4 wrt x?\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 7:42 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 104267347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 1b?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1821 - -1858. Solve -w = -6*f + 43*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -23\/4, 4, 3?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 490340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, h: 4, x: 3}. Give prob of picking 2 h and 1 x.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -149\nAnswer: 31\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3948)\/(-90) - (89 - 45)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36 + 13 - 49)\/(1*2). Solve -12*t - 12 - 24 = l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*m + 3*m - 1728. Is (-1137720)\/m + (-1)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-0.02.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.2468m in centimeters?\nAnswer: 26924.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 15 + 9 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -3124635?\nAnswer: 3124635.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Let b be 48*(-1 - -2) - i. Suppose 0*u = -3*u + b. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2223 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxxxllxxxxxxxx. Give prob of sequence lxx.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01166189564 rounded to 4 dps?\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 11:18 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1816 times 2?\nAnswer: -3632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**4 + 6*k**4 - 4*k**4 + (k - 2*k + 3*k)*(-3*k**3 - k**3 + 2*k**3) - k**4 - 2*k + 3*k - 2*k as z*k + d*k**3 + i + l*k**2 + x*k**4 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Let o(i) = -i - 1. Let a(l) = 8*l**2 - 12*l - 12. Let w(j) = a(j) - 12*o(j). Give w(s(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498da (base 16) in base 11?\nAnswer: 1398a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**2 - 6*u - 39. Let y be n(8). Let g = -325 - y. Suppose 2*r + 5*s + 270 = 6*r, 4*s = -5*r + 358. Calculate the remainder when r is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 + 48. Let b = -24.6444 + -0.0556. Let f = 25 + b. Put w, f, -5, -0.2 in ascending order.\nAnswer: -5, w, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**17\/q*q)*q**21\/q*q)\/((q\/(q*((q\/(q*q\/(q*q**(-10)*q)))\/q)\/q))\/q*q\/(q*(q\/(q\/q**(-2\/7)))\/q*q)))**34 assuming q is positive.\nAnswer: q**(-1258\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b = -23*b - 44. What is the remainder when 62 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 4*z - 1339. Give s(41).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -1 + 10. Solve w*n = -32*n - 35 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, -2, -1404, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, -5, 114 in decreasing order.\nAnswer: 114, 8, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/6, -14, 5 in increasing order.\nAnswer: -14, 1\/6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -84 - -54 - (-2 + -1 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 26 = -26. Solve -5*f + 4*f + 4 = c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65816 and 5548.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*u + 186*u = -3*i + 16, 2*u - 4*i = -26. What is the nearest to u in 2\/9, 2184, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 196 (b) 130 (c) 0.051 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 2c5b9?\nAnswer: 2c5b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21932.\nAnswer: 2, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*h - 0*h. Let g = h - 2. Solve 4*q = 4*j - 24, g*j + 4*q = 2*j - 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 13 = 2*u - 7, -2*u - 6 = 0. Let z = y + -10. What is the remainder when 68 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 11:38 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 5. Let z(t) = t - 10. Let k be z(4). Let d be n(k). Solve -4*c - d = 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 2*o - 5. Let i be h(4). Let g = i - 1. Suppose -g*d = 4*c - d - 55, -4*d = c - 25. Calculate the remainder when 38 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91870*n**2*s**2 + 2*n*s**2 - n - 5*s**2 - 4577*s - 3 wrt n.\nAnswer: 183740*n*s**2 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-212)\/63 + (-12)\/(-54). Let v = -139\/42 - b. Is v greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77363, 154887, 232411?\nAnswer: 309935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/((-75)\/(-12)))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 2\/9*n**2 - 1\/54*n**4 + 1\/27*n**3 + 0 - 4*n. Factor r(p).\nAnswer: -2*(p - 2)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m + 748 + 2805. List the prime factors of m.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 6*p**2 - 5*p - 2. Determine v(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 2118. Let r(w) = 451 + 449 + 5*w - 6*w - 900. Determine r(v(s)).\nAnswer: 2*s - 2118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**3 + 0*u**2 - 3\/8*u**4 + 3\/10*u**5 - 1 + 0*u. Suppose j(s) = 0. Calculate s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -89348 and -0.5.\nAnswer: 44674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.679 plus -2.6989?\nAnswer: 29.9801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Let n(h) = -2*h**2 + 6*h - s + 2 + 1. Determine n(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -3\/949, 5, -6, -0.4?\nAnswer: -3\/949","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Let x(j) = j**3 + j**2 - 3*j + 24. Suppose 29*f = -4 + 4. Let y be x(f). Solve -2*a + 5*s = -5*a - 27, 4*s = -r*a - y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.108063 times 0.148?\nAnswer: -0.015993324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2 = 3*u, -4*u + 13 = 5*i - 13. Suppose 43 = u*s - 17. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19027 and 843707?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -1 in decreasing order.\nAnswer: 6, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*u**3 - 36*u**3 - 26*u**3)*(0*u**2 + 3*u**2 - 4*u**2) + 0*u + 0*u - 3*u**5.\nAnswer: 34*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-7))\/(l*l**16))\/(((l*l**(-1))\/l*l)\/(l*l**(11\/6))) assuming l is positive.\nAnswer: l**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9325712 is divided by 2331331?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**4\/4 - 10*n**3\/3 + 11*n**2\/2 - 5*n - 90. Calculate z(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.92 - -3.08. Let w = 30 + -21.2. Let y = w - 9. What is the third smallest value in p, -2, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen fifths of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*s**2 + 1)*(-2 - 2 + 2)*(-2 - 4 + 5)*(s + 2*s - s)*(3 + 1 - 5).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 8*i - 6. Let v be j(7). Suppose -5*o + 5*z - v = -56, 2*o - 37 = -3*z. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77 (base 15) to base 7.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 238872 and 0.31?\nAnswer: 74050.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**3 + 3*d + 6. Suppose u = 5*i - 2*u + 27, u = -2*i - 2. Let x be 50\/(-4) - i\/2. Let f(t) = -7*t**3 - 6*t - 11. Calculate x*w(h) - 6*f(h).\nAnswer: -2*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 107, 123, 157, 215, 303?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3822655156 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-130)\/3*3. Suppose 0*d + 150 = -2*d. Let h = d + p. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a7 - 5?\nAnswer: 3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*x + 8 = 2, 4*x - 18447 - 18451 + 36900 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/7, -271, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 642\/(-1712) - (-11)\/24?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**4\/24 - 2*q**3\/3 + 12*q**2. Let o(v) = v + 1. Let i = 1 - 0. Calculate i*y(x) + 3*o(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 293160 divided by 35\nAnswer: 8376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -24 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 7*p + 9. Let r be f(8). Suppose -a + 0*a = -r. Solve -1 + 2*g**2 - 8*g + 11*g - a = 0 for g.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 11:16 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 27*f**2 + 958*f - 355. Give j(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/13 and 43\/5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 9 = -2*i + 6, -100 = -5*i - 19*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*r - 44*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244180963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/30 and -59\/3192?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 201357, -0.99, -10?\nAnswer: 201357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -146*a + 18. Let y be r(7). Let o = 3323 - y. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1120 = -4*r + 2*r. Suppose -12*x + 1864 + r = 0. Calculate the highest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d - 1. Is 3 a factor of a(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 12 + 29 + 2*o**4 - o to the form n + j*o**4 + x*o**3 + c*o + r*o**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 0*j - j)*(66 - 90 + 32 - 379*j) in the form h*j**2 + m + i*j and give h.\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593521236?\nAnswer: 2, 3, 7, 11, 149, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 306455 divided by -5\nAnswer: -61291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 103571309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-296)\/(-6)*12\/8. Calculate the common denominator of 1 + f\/(-44) + 2 and 85\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/3 + 97*f**4\/3 - 284*f**3 - 31388*f**2\/3 + 32144*f\/3 = 0. Calculate f.\nAnswer: -14, 0, 1, 28, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36721 + 330491\/9. Factor 2\/9*l + g*l**3 - 4\/3 + 8\/9*l**2.\nAnswer: 2*(l - 1)*(l + 2)*(l + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1237428 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**5 - 3*t**4\/2 + 2*t**3 + 3*t**2\/2 - t = 0.\nAnswer: -2, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 4*m**3 + 10 - 27.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1819*q - 5468. Give g(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**(-1\/3)*z)\/z)\/z)**28 assuming z is positive.\nAnswer: z**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/48250 and -121\/6?\nAnswer: 144750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-108)*16\/(-10)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let x(c) be the first derivative of -c**2\/2 + 59*c + 5. Is x(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -261 - -256. Sort -19, z, -2 in decreasing order.\nAnswer: -2, z, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 54*l - 11. What is the remainder when k(2) is divided by 4\/6*150\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82782*j + 166657*j - 83875*j + 7*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 14*w + 17. Calculate c(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-10))\/((-7)\/7). Are -0.1 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 5*y - 6. Suppose -4*p = -2*p - 8. Give x(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 10*n**2 - 188*n + 2. Let g(t) = -45*t. What is g(m(u))?\nAnswer: -450*u**2 + 8460*u - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*u - 10, 2*u = w - 1 + 2. What is the smallest value in 2\/11, u, 0.6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1 - 0.9. Let z = 4680 - 4681. Which is the second biggest value? (a) 1\/6 (b) f (c) z (d) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18 - -7 - -2) + (4 - -7958)?\nAnswer: 3, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 6*v + 17. Let b be x(4). Solve 7*z - b*z - 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 6:13 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -15*k**2 + 316*k + 1465. What is v(25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 1. Suppose 2*l + 6 = 4*m, -2*l - 3*m + 15 = -0. Suppose l = d + 2. Let f = d - 0. Give g(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 49455\/(-1980) + 10\/(-40)?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + -1667\/26. Calculate the common denominator of -97\/16 and b.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6\/(j*j**1))**(-46) assuming j is positive.\nAnswer: j**(-184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b1b (base 13) to base 15.\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -2\/11, 1, -2.3031, 3, 25, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + i = -1, 13*f - 9*f = 2*f + i + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8457 is divided by 441?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 459*a**2. Let b(t) = -1524*t - 1. Determine b(p(k)).\nAnswer: -699516*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/87)\/((-4)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*u**3 - 3*u**3 - 5*u + u + 5*u**3 wrt u?\nAnswer: 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 4. Let g(l) = -2 + l**2 + y + 0*l**2. Suppose 132 = 4*a + 136. Let i(n) = -5*n**2. Determine a*i(h) - 2*g(h).\nAnswer: 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/12 and (-435)\/20*2\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -889*m - 1426 = 856*m - 1807*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 1. Let c(b) = -b**2 + 11*b - 17. Let f = 51 + -43. Let y be c(f). Let z(w) = -3 - 4*w + y*w - w - 4*w + w**2. What is 3*q(u) + z(u)?\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -445542, -891079, -1336614, -1782147, -2227678?\n\"Answer: o**2 - 445540*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvt when three letters picked without replacement from tvllx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14478, -14495, -14538, -14619, -14750, -14943, -15210?\n\"Answer: -2*m**3 - m**2 - 14475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1755, 14050, 47433, 112446, 219631, 379530, 602685, 899638?\n\"Answer: 1757*i**3 + 2*i**2 - 10*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -k - 3*m - 17, 4*k - 5*m = 284. Let h be (-2)\/7 + k\/(-28). Let f be 6\/21 + (-4)\/7. Are f and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x + 13*x + 13*x + 13*x + 13*x - 66*x - 98.\nAnswer: -2*x - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 67106.69 hours in seconds?\nAnswer: 241584084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**3 - 22*f**3 + 9*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1646*b**2. Let s(y) = 9*y**2. Determine s(x(d)).\nAnswer: 24383844*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 7. Let d be m(10). Solve 4*f + d = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x*x)**22\/(x\/(x\/(x**(-3\/4)\/x*x*x)*x))**36 assuming x is positive.\nAnswer: x**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 31 + 5*x)*(5*x**2 - 138*x + 139*x - x**2 - 2).\nAnswer: 20*x**3 + 5*x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 181149197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*p - 280. Suppose 5*j + 5*m = 35, -21*j + 12*j - 2*m = -35. Suppose -j*d - p = -5*d. What is the remainder when d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17646 and 76?\nAnswer: 670548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/5))**32*(w\/(w\/w**(-1\/5))*w)\/w*w*w*w**(-14\/5))**(8\/5) assuming w is positive.\nAnswer: w**(728\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*c**2 + 27*c**2 - 3*c - 4 - 38*c**2 + 9 to the form x + r*c**2 + v*c and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 308 + 1892?\nAnswer: 1b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(0 + (-1)\/1). Let g(q) = q + 1. Let w be g(x). Let c(t) = t**3 - 4*t**2 + 6*t - 5. Is c(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19492 smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 = 2*r. Let s be (24*-1)\/(0 + r). What is the units digit of (-1 - -3)*-1 - s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 20*v - 342. Let l(k) = 4*k**2 - 7*k + 5. Let a(j) = -4*j - 17. Let w be a(-6). Let i be l(w). Calculate the highest common factor of v and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.455413 rounded to 1 decimal place?\nAnswer: 99.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 + 1.97. Let y = 1.8 - -12.2. Let d = 13.5 - y. Which is the closest to 1? (a) d (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -18. Solve -2*c + 4 = -n, v*c = 2*n + 2 + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -108*u**2. Let t(m) = 25*m - 109. Determine t(j(w)).\nAnswer: -2700*w**2 - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*l - 15. Suppose -4 = b, 4*b - 8*b - 6 = l*z. Solve 9 - 11 = z*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Let t = -187\/42 - -30\/7. Which is the closest to 0? (a) -0.2 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 434\/(-56)) + (-3)\/(-60)*5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*r + 369*r - 729*r.\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123.9 + -123.90592. What is u rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-21)\/(-6) - (2 + -4). What is the second derivative of 376*n**2 - 376*n**2 - n + j*n**4 wrt n?\nAnswer: 192*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285, -1610, -5035, -11610, -22385?\nAnswer: -38410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(1\/3)*q)*q**(1\/13))**(-45) assuming q is positive.\nAnswer: q**(150\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 0*z**4 + 2*z**4 - 10*z**2 + 17*z**2 as y*z + q*z**2 + d*z**4 + i*z**3 + m and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63726*p**3 - 51862?\nAnswer: -191178*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3375403294 + -18.5375394194. Let z = 18.2 + g. Round z to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34547?\nAnswer: 179, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((5\/(-3))\/((-1440)\/576))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -73974 and 0.8623529?\nAnswer: 73974.8623529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvovmvomov. Give prob of picking 1 o and 2 m.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -15*p**2. Let v(u) = -10*u + 4. Give t(v(n)).\nAnswer: -1500*n**2 + 1200*n - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4\/2 + 23*d**3\/3 + 11*d**2\/2 + 19*d + 2171. Determine i(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 6*p - 3. Let o be w(8). Let n(s) = s + 24. Let k be n(o). Solve 4*m + 5*c = k - 4, -3*c = 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.947 + 1.28?\nAnswer: 114.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = -12. Let j be -20*(-2)\/k - 4. Let t be ((-10)\/j)\/((-5)\/15). Solve -h + t*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518165897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1490*b - 64218. Determine y(44).\nAnswer: 1342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/1*(6 - 225\/35). Which is the third smallest value? (a) i (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 189085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 6) to base 4\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2 + 5*u**2 + 1 + 0 + 2*u. Let v = -2 - -5. Suppose -3*z - 2 = -5*z - v*f, 0 = -4*z + f + 4. Give y(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from vvrrdyrrk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -665 times -746?\nAnswer: 496090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 124*y - 8383. Determine n(68).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h + 16. Let f be (168\/98)\/(h\/14). Find the third derivative of -2*z**2 + f*z**2 - 4*z**6 + 5*z**2 + 2*z**6 wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -276341*s**3*t**3 - 162014*s**3*t**2 wrt t.\nAnswer: -1658046*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120214 (base 5) to base 15.\nAnswer: -14a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 7195.4?\nAnswer: 2158.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 7:31 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*z - 90*z - 1613 = 275 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2970934 and 130.\nAnswer: 2971064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45, -98, -187, -312, -473?\n\"Answer: -18*v**2 + v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -190*z + 1. Let x be i(1). Let l = x - -277. What is the highest common factor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 12*d**2 + 188*d + 8. Determine w(21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -3*b**5 + 22*b + b**5 - 3*b**5 - 6 + 0*b**5. Differentiate x(t) with respect to t.\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -258 + 260. Calculate the least common multiple of 7 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 150 - 150.17. Sort -3, r, -1\/2, -3\/4 in increasing order.\nAnswer: -3, -3\/4, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220781065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by -11050347\nAnswer: -86\/11050347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*k - 11, 2*k + 5*s = 5*k + 10. Let o(f) = -22*f + 97. List the prime factors of o(k).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -24*x + 6*x + 11*x + 6. Determine a(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/((-100)\/(-80)*7)\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**2 + 130*i - 268 = 0.\nAnswer: -67, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 12:50 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -121.7 + 95\nAnswer: -26.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220140420 (base 5) to base 2.\nAnswer: -11100110010010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 2*x**2 - 9*x + 9. Let o(v) = v**3 + 6*v**2 + 3*v - 4. Let w be o(-4). Let r = -9 + w. Is q(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.77 - -3.783. Let p = 106086 - 106130.613. Let u = d + p. Round u to zero dps.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 4:40 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2 - 3563715*g - 81967032 = 0.\nAnswer: -23, 1187928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007714159573 to 5 dps.\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaa when three letters picked without replacement from {z: 4, a: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 9:22 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 23*k**2 - 39*k - 59. Let d be p(21). Suppose 5*q + 6612 = 4*h - 463, -d*h + q + 7095 = 0. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1502 = 1507. Let u be 0\/2 + h\/(-50)*0. What is the fourth smallest value in -10, u, 5\/3, -7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 1. Let a(k) = -2*k**2 - 4*k - 10. Calculate a(m) - 6*r(m).\nAnswer: -2*m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9008 - -9009. Is 4086 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 31\/4 - (-78)\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2. Suppose 4*x = -3*k + 12 + 4, x + 4*k = -9. Let q(m) = 0 + x*m + 0. Determine q(j(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -2?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r + 5*c = -35, 5*c = -4*r + 85. Suppose -r*h - 136 = -511. Calculate the highest common divisor of h and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (192\/(-1024))\/((-3)\/(-6))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171905 is divided by 57298.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6*j = -28. Suppose -4 = -h - j. Let l(n) = -3*n - 4. What is the units digit of l(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-572)\/(-572)*2\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 11:55 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - 1) + 15 + -6 + -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -116939500 and 7?\nAnswer: 116939507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/(((-3)\/2)\/(-1))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2042 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 15*b**2. Let f(c) = 2. Let g(o) = 3*o - 18. Let k(v) = -9*f(v) - g(v). Give q(k(l)).\nAnswer: 135*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 207446 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 7775*d - 18 = -7772*d, 11 = 2*b - d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v + 4*k = 10*v + 18*v + 8, 16*v = 13*v - 3*k + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -18 - -2 - (-12)\/4. Let n = f + 14. Let o be 26\/6 - 20\/(-30). Solve -14 = -3*a + o*p, -5*a - 3*p + 0*p - 22 = n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -x - x. Let a = x - 13. Solve -a = -5*u + u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25193 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*t + 0*t - 13*t)*(-3 + 3 - 2)*(-t - t - 2 + 7) + (5*t + 0*t - 3*t)*(4*t - t + 0*t) + 0*t**2 - t**2 + 0*t**2.\nAnswer: -91*t**2 + 240*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.1465 rounded to zero dps?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2907739.\nAnswer: -4\/2907739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4668 a factor of 1041552168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21349332 by -4.\nAnswer: -5337333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = -183966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(12\/7)*b**(-1\/4) assuming b is positive.\nAnswer: b**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v + 32. Let n be k(4). Suppose 5*f - 2*d - 180 = 47, -n*f + 181 = -d. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 4, -5, 607, 0, 27.\nAnswer: -5, -4, 0, 1, 4, 27, 607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*l + 6*l + 245 = 0. Let f(s) be the first derivative of 8 + l*s**3 + 15\/4*s**4 + 0*s + 3*s**2. Find d, given that f(d) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5520)\/4050 + ((-168)\/30 - -7).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven fifths of a meter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 75 = -5*z. Suppose -2*w - 5*p + z = 0, 2*w - 4*p = w - 20. Sort 1, 5, w.\nAnswer: w, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65755 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9668, 9669, 9672, 9677, 9684, 9693, 9704?\nAnswer: 9717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7296 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s**3 + 2*s**3 - 5*s**3 + 0*s**2 + 0*s**2 - 2*s**3 + (7 - 6 + 5)*(-11*s + 2*s**2 + 7*s**3 + 11*s) as r + m*s + n*s**2 + t*s**3 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1392, -3453, -5514?\n\"Answer: -2061*r + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -98 - 41 - g**2 + 139. Let q = -14 + 17. Let n(y) = 4*y - y - q*y - y. Give w(n(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 278 - 163. Sort 1, 2\/17, w in increasing order.\nAnswer: 2\/17, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2904.625 millimeters in nanometers?\nAnswer: 2904625000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3806, -1039, 6464, 21073, 45158, 81089, 131236?\n\"Answer: 395*y**3 - 2*y**2 + 8*y - 4207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -2*a + 148. Let u = 111 - a. Round u to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/7786 and -56\/51.\nAnswer: 23358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 5:38 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 11:07 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x + 12. Give d(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1166*v**3 + 1165*v**3 - 2*v**2 + 6 - 8. Let o(a) be the first derivative of a**3\/3 - 4*a**2 + 9*a + 2. Let w be o(6). What is n(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -2*p**4\/3 - 16*p**2. Let f(a) = 2*a. Give f(o(n)).\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2177 + 1812 - 1178 + 408 = 37*n for n.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14 - 4)*(-4)\/(6 + 2). Let g = -3.51 + 0.51. Let x be 12\/(-3) - (-2 + -5). What is the nearest to v in g, x, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*h - 85*h - 54 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/624*(12\/(-10))\/((-2)\/(-10))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 67*g + 879. Give k(-12).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -g - 3. Let f(r) = 3*r**3 + 3*r**2 - 3*r - 3. Let x be f(g). Let h = -53 + 77. What is the greatest common divisor of x and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + 484*d**2 + 1393*d + 103882. Calculate n(-240).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 23\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*g - 80 = -224*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6983 + 22254. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, a: 3, o: 3, g: 2, j: 4}. What is prob of picking 1 j, 1 a, and 2 h?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12675216*i**3 + 12675201*i**3 - i + i**2 + i.\nAnswer: -15*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -258120, -85 in descending order.\nAnswer: 3, -85, -258120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009439001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*w - 329 = -139 + 395 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9448489 is divided by 674890.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 23*i**2 + 4*i - 23. Let y(g) = -3129*g**2 - 546*g + 3129. Give 273*h(o) + 2*y(o).\nAnswer: 21*o**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 20 (b) 0.5 (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37035711941672 + 14*q - 37035711941672.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeaeeeaee. What is prob of sequence eee?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129582?\nAnswer: 2, 3, 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:46 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q + 0*q**4 + 0*q**2 + 7\/20*q**5 + 1\/6*q**3 + 0. Let t(u) = -93*u - 652. Let m be t(-7). Calculate c(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 0.015.\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/48 + 1 + (-106)\/(-8). What is the second derivative of -3*j**2 - n - j**5 - 2*j + 4*j - 10 wrt j?\nAnswer: -20*j**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 7*o**3\/3 + 13*o**2 + 83*o + 5. Let a(t) = -18*t**2. Give a(z(v)).\nAnswer: -3528*v**2 - 13104*v - 12168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/16 of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q**2 + 45*q - 14. Determine x(4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.46807 rounded to 1 dp?\nAnswer: 129.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*r + 17938805 - 17936069 = 0 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-90)\/(-21) + (-2)\/7. Suppose 0*h + 5*h = 10. Suppose 4 = h*r - 6. Sort r, m, 3 in descending order.\nAnswer: r, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpphzpzzpdpppzpppzp. What is prob of sequence pd?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1807 is divided by 845?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.4 (b) 5 (c) -0.5 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-80))\/(38\/32*-6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70*l**4*y**3 + l*y**3 + 8*y**3 - 24 wrt l?\nAnswer: -280*l**3*y**3 + y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-50))\/(23\/(-46)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/2 + 51*r**2.\nAnswer: -3*r**2*(r - 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 4 (b) -10 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, z: 2, e: 1, s: 5, y: 2}. Give prob of sequence sz.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15.46485 times -0.5\nAnswer: -7.732425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -231. Let m = -212 - v. What is the nearest to m in -1\/3, 7, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1774*j = -1813*j + 312 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -0.4, 22, 14, 0.004 in descending order.\nAnswer: 22, 14, 0.004, -0.4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -41?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 7*t - 3*t + 5*o, t - 2*o = -8. Let j be 4*((-6)\/4 + t). Calculate the greatest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2338887375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((24 + -28 - (0 + 0)) + 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbbntn. What is prob of picking 1 h and 2 n?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 7*h - 3. Suppose p - 3*p - 12 = 0. Is r(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 9*m**2\/2 + 8*m - 2. Let c be g(8). Suppose c = 5*v + 3*k, 0*k - 2*k = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65607239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 409 + -382. Calculate the remainder when a is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7148359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 311 + 1313. Suppose -u = -4*b - 123. Solve b = -4*d - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1. Let f(r) = -r - 4. Let z(x) = 6*a(x) + 2*f(x). What is z(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 12:30 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 336359, 336357, 336355, 336353, 336351, 336349?\nAnswer: 336347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 770901 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/20 - 16\/(-10). Let y = -41 + 44. Find the third derivative of -y*w**6 + 4*w**g + 3*w**6 - 6*w**6 wrt w.\nAnswer: -720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*z**2 - 96*z**2 + 88*z - 77*z**2 + 25*z wrt z.\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 8*u**2 + 2*u - 11. Let y be j(8). Suppose -y*x - 50 = -2*w + 19, 5*w = 3*x + 144. What is the highest common factor of 18 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, 0.4, -41\/9, 0.35 in increasing order.\nAnswer: -41\/9, 0.35, 0.4, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 9, e: 2, y: 1, k: 6, w: 1}. Give prob of sequence wy.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyq when three letters picked without replacement from {g: 2, q: 1, z: 2, j: 1, y: 1, l: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -377 - -13571\/36. Let n = d + -23\/9. Let z = -12239\/6 + 2045. Calculate the common denominator of n and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505172981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.3 - -3.7. Let s = -36.0054 + x. What is s rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**1*o**(2\/7)*(o**(1\/2))**(1\/20) assuming o is positive.\nAnswer: o**(87\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2. Let s(w) = -16*w**2. What is s(d(p))?\nAnswer: -64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 118653972?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + i = 6, 6*i = 5*i - 4. Which is the nearest to f? (a) 0.2 (b) -3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*k + 4*t - 11300, -5*k - t + 14125 = 0. Let x(p) = 5*p - 21. Let w be x(5). Suppose w*y = -y + k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 + 30 = -n, -2*n - 76 = -4*j. Is n <= -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 4:52 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 500, 493, 482, 467, 448, 425?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 255 + -75. Suppose a + c = -3*a. What is the units digit of (-12)\/((a\/(-6))\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 52*o + 5791. Let f be v(-111). Solve f*g = 2*g - 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - -7. Suppose -n = -5*t - 8. Let b be -1*1\/9*t. Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 1045, 2 in decreasing order.\nAnswer: 1045, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 38*z + 101. Determine c(34).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22939, -22888, -22807, -22696, -22555?\n\"Answer: 15*i**2 + 6*i - 22960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48032058?\nAnswer: 2, 3, 8005343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 7*c + 12. Let v be x(4). Solve 0 = 2*k - g - 11, -3*k + 2*g = g - v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -101, -40 in decreasing order.\nAnswer: 13, -40, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23893 + -23883. Let t(z) = -z**2 + z - 10. Calculate t(r).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 14}. What is prob of sequence bg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - ((-15 - 4) + 40 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118496*t**3*z**2 + 2*t**2*z**2 - 56291*t*z**2 wrt t.\nAnswer: -710976*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.3 + 48. Let s = 15 - g. Is s smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191978669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2161 + 616. Is -1545 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z = -20. Find the third derivative of -z*m**4 - 4*m**3 - 8*m**2 - 6*m**4 + 4*m**3 wrt m.\nAnswer: -264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 12. Let r(k) = -2*k + 31. Let g be r(13). Let v be s(g). Which is the fourth biggest value? (a) -3 (b) -5 (c) v (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*j = -10, s + 0*s - 5*j + 10 = 0. Let u be -1*((-6)\/14 + 0). What is the second smallest value in u, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 6820*u**3 + 2345865*u**2 - 13722590*u - 36883280.\nAnswer: 5*(u - 679)**2*(u - 8)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 161365632 to the power of 1\/3, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**4\/8 - x**3 + 3*x**2. Let r(y) = -2*y - 5. Calculate 4*l(d) - 5*r(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89213580 divided by -18.\nAnswer: -4956310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 8*d**2 + 4*d. What is the least common multiple of f(-4) and 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -187*k**3 - 5*k**2 - 1059. Let d(t) = 373*t**3 + 11*t**2 + 2122. Let i(f) = 4*d(f) + 9*l(f). What is the derivative of i(u) wrt u?\nAnswer: -573*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.928414kg to micrograms.\nAnswer: 928414000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9776*k - 1236*k + 4349*k + 1495124 = 0 for k.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6 - 21*l + 21*l + 20*l + 14*l**2 + 3*l**3 - 4*l**3. Let r(b) = 16*b - 1. Let g be r(1). Is 14 a factor of h(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554451 is divided by 379?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*g - 143637 + 46813 = 0. What is the highest common divisor of g and 10290?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnwn when four letters picked without replacement from wwnnwwnwwnj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3308841, -6617684, -9926527, -13235370, -16544213?\n\"Answer: -3308843*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 9) in base 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 117055.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*(k**(-5\/2)*k)\/k)*k)\/(k\/((k*k**(-3))\/k))*k**(-2\/15)*k*k*k**(-1) assuming k is positive.\nAnswer: k**(-19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 20 - 2. Let d = -2092 + 200843\/96. Calculate the common denominator of (-3)\/b*77 - 4 and d.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/1357?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3943?\nAnswer: 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68738 - 25235. List the prime factors of y.\nAnswer: 3, 17, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**18*q**(-13)*(q\/(q*q**(-11)\/q))\/q**13)**(1\/8) assuming q is positive.\nAnswer: sqrt(q)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d**3 - 25950*d - 78729*d + 16*d**3 + 6448*d.\nAnswer: -2*d**3 - 98231*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 735546 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1 (b) -562 (c) -2 (d) 3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 48. What is the smallest common multiple of (15\/20)\/(d\/72) and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r**5 - 14*r**3 - 12*r**2 + 9*r + 6. Let w(o) = -8*o**5 - o**4 - 15*o**3 - 13*o**2 + 9*o + 7. Let m(z) = 7*b(z) - 6*w(z). Factor m(f).\nAnswer: -f*(f - 3)**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823196?\nAnswer: 2, 11, 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250\/3 - (-6)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a - -3425?\nAnswer: 33c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + p = 14, 3*x - 2*p = -6*p + 21. Let m be 5 + ((-42)\/x - -8). Solve 0 = -m*j + 3*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 6:14 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 20 + 20*w + 1 - 56 - 33 to the form a*w + o + j*w**2 and give o.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 25881680?\nAnswer: 1\/6470420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3728*m = 3706*m + 162602. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89001 and 10962.\nAnswer: 3738042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*f**2*q**3*s - 41*f**2*q - 2*f*q**3 + 11*f*q**2 - 93614*q**3*s - 2*q**3 - 7*q**2 + 10*s - 55 wrt s.\nAnswer: -8*f**2*q**3 - 93614*q**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1\/8, 2\/13, 9, -3\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/9 (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(((r*r**0)\/r*r)\/r)))\/r)\/r)**(1\/41)\/(((r*r**(-2))\/r)\/r)**28 assuming r is positive.\nAnswer: r**(3442\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -5.996 (c) -0.2 (d) 8\/11 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 337023?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*(sqrt(180) + sqrt(180) + (2 + sqrt(180) + -1 - sqrt(180)) + sqrt(180) - sqrt(180))*2 + 4)**2*-1.\nAnswer: -11556 - 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3022 times -2085.43?\nAnswer: -630.216946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(98) + 0 + sqrt(98) + sqrt(98))**2 + 5.\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54639?\nAnswer: 3, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 5*o**2 + 5*o - 3. Let x be f(3). Let p(t) = -t - 7. Let y be p(x). Which is greater: y or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, l: 15}. Give prob of picking 4 l.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.483 >= 5\/129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1752*k - 1712*k + 240 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**3 - 15*l**2 + 19*l - 1. Let b = 4 + -7. Let n(g) = -4*g**3 - 8*g**2 + 10*g. Let o(v) = b*z(v) + 5*n(v). Give o(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - (-4 + (-536)\/32))*-36?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9816 - -15216. List the prime factors of (l\/350)\/((-4)\/(-266)).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6361 - 5?\nAnswer: 6356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1464, -1466, -1468, -1470, -1472, -1474?\n\"Answer: -2*b - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-9)\/12) + -1. Calculate the remainder when 22\/v*(-70)\/28 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a**2 - 24680 + 24680.\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19065 + -152481\/8. Factor -3\/4 - u*n + 45\/8*n**2.\nAnswer: 3*(n - 1)*(15*n + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s. Let b(n) = n. Determine b(h(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-201)\/(-268) - (-2 - (-188)\/16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, i: 4, u: 1}. Give prob of sequence riu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjzzi. Give prob of sequence jz.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/9 - 10150*u**3\/9 - 7390216*u**2\/9 - 29439128*u\/9 - 9799520\/3 = 0. What is u?\nAnswer: -4195, -876, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2047)\/46)\/((-4)\/104). Let b = i + 9. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.088 (b) 0.3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 21*m = 52*m. Solve -2*s + 5*h + 0*h - 27 = 0, 3*s + 2*h - 7 = m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 84*k**2 - 11*k + 4320. What is u(-83)?\nAnswer: -1656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28880 (base 10) in base 6?\nAnswer: -341412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50.4 + -7.4. Let p = 114 - 72. Let v = o - p. Put v, 0.3, 14 in ascending order.\nAnswer: 0.3, v, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40635, -40983, -41331, -41679, -42027?\nAnswer: -42375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-25)\/24) - 2\/(-10). Suppose 0 = u*q - 15, -4*n - 3*q + 6 = -5*q. What is the remainder when 25 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 4*z + 5. Let v be d(-4). Suppose 0*m + l + 57 = 4*m, l - 69 = -v*m. Let b = 1474 - 1432. What is the highest common divisor of m and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*x - 4, 0 = g + 2*x - 41. Suppose g = 7*u - 18. Suppose 4*t - u = -p - 4, 3*p - 67 = t. What is the remainder when 146 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 9. Let y be k(-6). Suppose 0 = -2*l - 5*j + 12, 2*j - 8 = -y*l - l. What is the smallest common multiple of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**3 + 2*k**2 - 2*k + 1. Let u be n(1). What are the prime factors of (-1)\/2 - ((-374)\/u + -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -89, -96, -103, -110, -117?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -1134172746604?\nAnswer: 1134172746604.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 411 - 2*h + 1783356*h**2 - 4*h**3 - 1783356*h**2 in the form a*h**2 + d + g*h + n*h**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063334 is divided by 265259?\nAnswer: 2298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77.1 - -77. Suppose 4*c - 3*c = -4, 20 = -4*t - 3*c. Let h be 2*6\/(-4)*t. Which is smaller: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/14045763 and 79\/10?\nAnswer: 140457630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t = -42*t + c + 292150, 4*c = -16. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 60 - 156 = 0. Let m be (y\/1*1)\/(27\/45). What is the greatest common factor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 2\/13, -2\/21, -18?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12826*a + 7004 wrt a.\nAnswer: -12826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 239839 + -1442291\/6. Suppose -1653 = -3*k - 0*k. Let o = m + k. What is the common denominator of o and 29\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4491*p**3 - p**2 + 3*p - 368.\nAnswer: 26946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1824 + 21929\/12. Find the common denominator of n and (-7)\/14 - 57*(-10)\/135.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242898 plus -39?\nAnswer: 242859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 696.74589 seconds to hours.\nAnswer: 0.193540525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 19.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -1) + (-38)\/2. Suppose 34*l - 33*l + 14 = 0. What is the units digit of (c\/(-35))\/((-4)\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149237 + 102685 = -4943*g + 17*g - 4230 for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4976.33264 - -4976. What is r rounded to two dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50*v**4 - 4*v**3 - 824?\nAnswer: -200*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 3*s - 2. Suppose z = -5*t - 1, -z + 22 = 4*z - 2*t. Determine c(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 - 11*v**4 - 3*v**4 + (0 + 1 + 5)*(-3*v**4 + 5*v**4 - 3*v**4) + (-4*v**2 + 4*v**2 - 2*v**2)*(2 - 2*v**2 - 2) + 2*v**4 - 3*v**4 - v**4.\nAnswer: -15*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 8:55 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37778510 a multiple of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.373 - 71.426. Let u = w - -40. Round u to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*a + 8. What is the lowest common multiple of (235\/(-75) - a)*5*-33 and 102?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2976, 2974, 2972, 2970, 2968?\nAnswer: 2966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aotrrpo. Give prob of sequence oo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/2)\/((-1)\/(-4)). Let d(f) = -2*f**2 + 16*f - 9. Let z = 4 + 3. Let k be d(z). Solve 0 = 5*j - k, l*j - 10 = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-1160))\/((-5)\/(-40)*-3)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 444 + -433. Let c(d) = 535*d + 122. Is c(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.6, -0.3, 1\/4, -780?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58674036 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142 + g**2 + g - 142 + (-2 + 1 - 3)*(-4*g - 16*g + 7*g)*(4*g - g - 4*g) to the form m*g + x + q*g**2 and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Suppose 13 = 5*y - d + s, -d - 5 = -2*y. Suppose y*z - 5*i = -3*i - 4, -z - i + 8 = 0. Solve -z = v - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/13 (b) 5 (c) -7\/6 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srh when three letters picked without replacement from suuhusssuurushsrrh?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*z + 200*z - 22 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2*j**3*u**3 + d**2*j**3*u**2 + 2*d**2*j**3 - 27*d**2*j*u**3 + 2*d**2 + 5*d*u**2 wrt u.\nAnswer: 6*d**2*j**3 - 162*d**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/7 - 160*j**2\/7 + 624*j\/7 = 0. What is j?\nAnswer: 0, 4, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -74186, -148334, -222482, -296630?\n\"Answer: -74148*o - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -43700592 divided by -123448\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 320993 or 320994?\nAnswer: 320994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3618 and 6123666?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34819901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 divided by -30?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004940106 to five decimal places.\nAnswer: -0.00494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 6*o**2 - 6*o - 4. Let l be n(7). Suppose -20 + 2 = -6*d. Suppose -m - 4*g + 17 = 0, 13 = -d*m - g + 5*g. Solve m = l*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 2*f**3\/3 + 208. Let v(g) = -5*g**2 - 39. Give z(v(a)).\nAnswer: 50*a**4 + 780*a**2 + 3042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 59*t. Suppose -134 = -6*p - 62. What is the remainder when y(1) is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v + 53. Let q(y) = -2*y - 1. Let m(t) = -4*q(t) + x(t). Let b be m(-11). Sort b, 0, 4 in descending order.\nAnswer: 4, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*1\/8 + (-975)\/(-20). Calculate the highest common divisor of k and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 307. Let x = o - 88. Let t = 189 - x. Which is the third smallest value? (a) -1 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4*d - 130, 0 = -4*k + k - 3*d - 210. Let u = k + 241. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -44. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 727970253*m**2 - 88504*m + 5317 wrt m.\nAnswer: 1455940506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3 + 2. Let p(z) = -13*z + 3 + 3*z**2 + 7*z**2 - 4 + 15*z. What are the prime factors of p(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 3. Let r(u) = 2*u**2 + 4. Suppose 8*f - 11*f = 3. Let z(p) = p**3 + 3*p**2 + p. Let j be z(f). Suppose -3 - j = g. What is g*y(a) + 3*r(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h - 19. Calculate k(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 + 196 + -210 + (-3 - 1 - -36)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32590920 and 620.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4896 and 748.\nAnswer: 53856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6738 divided by -2246\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 107 = 100*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 13528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o. Let f(d) = 19 - 29 + 0 + 10 + 4121*d**2. Give a(f(r)).\nAnswer: -8242*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 3 + -9 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.86 - -0.974. Let d = h - 117.114. Let s = 122 + d. Which is the second biggest value? (a) -1\/3 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4800 and 912?\nAnswer: 91200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirty-four fifths of a millisecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-7)\/(-98) + (66\/(-2277) - (-5840)\/39606).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12226*g**4 + 2*g**2 + 6264 wrt g?\nAnswer: -48904*g**3 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/11? (a) 0.5 (b) -4\/5 (c) -3109 (d) -0.02 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3969, -3957, -3945, -3933, -3921, -3909?\n\"Answer: 12*f - 3981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*(sqrt(68) + -2) + sqrt(68)) - (4 + (0 + sqrt(1377)*2)**2).\nAnswer: -5524 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 242005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36208193 is divided by 1905694?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.9 and 9.\nAnswer: -35.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5379 less than 6444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - 18?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/115 in 0.4, -5, -0.2, -1\/1115?\nAnswer: -1\/1115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r = -49*r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2964*l + 314159. Determine u(106).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 1\/2*q**2 - 15\/2*q = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1520484 and -37.2.\nAnswer: 1520446.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 21*n**3 - 14*n + 14. Let z(x) = -3*x**3 + 6*x**2 - 3*x - 3. Let i(h) = 4*h**3 - 9*h**2 + 5*h + 4. Let g(s) = 2*i(s) + 3*z(s). What is 14*g(t) + v(t)?\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 = -2*n + 16*q, -4*n = -7*n + 4*q - 33 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + u**3 + 0)*(12583 + 3*u - 12181 - u).\nAnswer: 2*u**4 + 402*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -35. Which is the biggest value? (a) 1 (b) v (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 + 151*h - 993. What is i(-56)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 6*r - 4. Let g = -32 - -27. Give m(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*a + 60. Suppose 0 = -2*m - a + 4. Let p(g) = -g**3 - 6*g**2 - 4*g. Determine p(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.18 + -15. Let i = 0.82 + w. What is the closest to i in 2\/7, -0.2, 2\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from ccovocavwsv.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1314\/10 - 54\/(-90). Let m = c + -132. Solve 2*a + 0*a + 10 = m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -0.33, 0.1, 1\/4, -0.05?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 42*i**3 + i**2 - 6*i + 3. Let z = -14 + 16. Is s(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k + 15 = 41*k. Solve -k*a + 0*a = -3*h, a = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*g + 6343, 0 = 4*d - 206*g + 205*g - 25342. Is d a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10120635 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 159 and 27.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1843960*v**2 + 708025 wrt v?\nAnswer: -3687920*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*i**2 - 34*i**2 + 62*i**2 - 84*i**3 + 79*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 6.7. Let v be 1199\/(-330) + 4 + (-4)\/(-30). Which is the biggest value? (a) v (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 6*f + 6. Let c be l(-5). Let v = 99 + -22. Calculate the greatest common divisor of c and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-6)*(374292\/24)\/37. Solve a*f - 63 = 1133*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) 2 (b) -3\/7 (c) 5\/18 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 4*y + 2*m + 38, -2*y = -4*m - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18*w - 3. Let g(y) = 9*y - 2. Let h(f) = 5*g(f) - 3*u(f). Suppose -5*i = -i + 24. Is h(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let z(s) = 2*s**2 + 6*s. Let b(l) = 6*k(l) + z(l). Let x(i) = 26*i - 26*i - 8*i**2 + 2*i**2. Determine b(x(o)).\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2\/5 + 531406468*x\/5 = 0.\nAnswer: 0, 132851617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 < 292\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 171*h**2 - 9*h + 9. Let k(g) = -g + 1. Let q(p) = -d(p) + 9*k(p). Let v(m) be the second derivative of -m**3\/6 - 1924*m. What is v(q(t))?\nAnswer: 171*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2 + 2.04. Let x = k - -0.16. Let m = 5 + -1. Which is the third biggest value? (a) x (b) m (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048 minus -89.232?\nAnswer: 89.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.761 less than or equal to -5054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 12. Let v be j(-7). Suppose 4 = -i, 5*l = -v*i - 28 + 8. Let f(c) = -c - 1. Let z be f(-3). Solve l = -z*k - k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 58193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/((-7)\/((-98)\/35))*-5.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 5. Calculate t(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 516991, 1033984, 1550975, 2067964?\n\"Answer: -v**2 + 516996*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 7\/((-7)\/(-3)). Let j = 19 - 16. Let r(x) = -10 + 12 - x - j*x + x + x**3. Give r(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 - -130. Let o = 0.4 + -0.2. What is the second biggest value in s, 4\/9, o?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3050, -21976, -73350, -173396, -338338, -584400, -927806, -1384780?\nAnswer: -1971546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11\/9 + 5\/18. Let a = 0.24 + 0. Let o = -0.04 + a. Put o, n, 0.5 in descending order.\nAnswer: n, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4*20\/(-48))\/(2\/(-258)).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*(-26)\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q\/(q\/(q\/q**(1\/6))))\/q)\/q)\/q**(-9\/4))\/(q**(-5)\/q*q)**21)**(-43) assuming q is positive.\nAnswer: q**(-54739\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*q - 0*q, 15 = -5*d + q. Let a = -4 - -3. Is d bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 2. Let t be k(-2). Suppose w - 36 + 9 = t. Suppose -3*l = -2*m + 2*l + 417, l - 3 = 0. What is the highest common divisor of m and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25083, 25085, 25087, 25089?\nAnswer: 25091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4153, -16614, -37383, -66460, -103845, -149538?\n\"Answer: -4154*o**2 + o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p = -14*p - 345. Sort p, -1, 1 in descending order.\nAnswer: p, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21271879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = -4*g + 313. Let 23\/6*c**3 + 1\/6 - 8\/3*c**g + 7\/6*c**2 - 7\/6*c - 4\/3*c**4 = 0. Calculate c.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76.85 - 77. Let f = j + 0.15. Put -0.1, -0.5, f in ascending order.\nAnswer: -0.5, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 95d - -12d?\nAnswer: a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 42110292 divided by -259\nAnswer: -162588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -1551 + 1548, 2*l + 2*f = 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213 - 265. Let i be (-2 - -10) + d\/(-26). Solve -a + 4*q + 18 = -2*a, i = -3*a - q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 6*k + 7. What is p(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10726, -21443, -32162, -42883, -53606?\n\"Answer: -r**2 - 10714*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**3 - 49*n**2 + 14*n - 18. Let b be y(12). Suppose 0 = b*m + 37*m - 473. Calculate the greatest common factor of m and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 4*n + 176 - 174 + 46*n**2 - 2*n**3 in the form y + v*n**2 + l*n + f*n**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 106*t**2 - 2675*t + 549. What is g(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2721.69678 rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (417\/(-6))\/((-3)\/6).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 74*q + 2\/3*q**2 + 0 - 1\/18*q**4 - 1\/9*q**3. Factor f(r).\nAnswer: -2*(r - 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 604 and 7.\nAnswer: 4228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**7*d))\/((d\/(d*d**(10\/3)\/d))\/d))\/((d**(1\/6)\/d)\/d*d*d)**(-19) assuming d is positive.\nAnswer: d**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + 155. Suppose -p = -2*c + 18. Is c <= 120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*h + 8 + 2, 2*h = 3*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 73e (base 15) in base 3?\nAnswer: 2020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78136228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 112093 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1907776 != -1907786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193302.\nAnswer: 2, 11, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + p - 4. Let b(i) = 4*i - 6. Let h(w) = -11*w + 17. Let q(g) = 8*b(g) + 3*h(g). Give -2*f(a) - 3*q(a).\nAnswer: 2*a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 2*b - 2*b + 2*b + b - 4*b + (-6 + 3 + 1)*(-3*b + 7*b - 3*b) - b - b + b + 5 - 2*b - 5 - 6*b + 4*b + b + (b - b - 2*b)*(2 - 2 - 1) - 1 + 1 + 2*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -2041 (c) 17 (d) -1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214 + 496*s + 105 + 109.\nAnswer: 496*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 10*j**2 - j**2)*(507 + 333 + 77 - 131 + 14).\nAnswer: -8000*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7224 - 7233 = 3*a, 5*m + a = -28 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b**(7\/4)\/b*b))))\/(b**4\/b))\/(b**(5\/4)*b**(1\/12)\/b) assuming b is positive.\nAnswer: b**(-49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 (base 3) in base 16?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3476 + -3434)\/(31 + (-3)\/3).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus -18698992.31?\nAnswer: -18698985.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*x**4 + 0*x + 0 - 4\/5*x**3 - 2\/5*x**2.\nAnswer: -2*x**2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 27254 + 27545 - 54799.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -1776764?\nAnswer: 1776764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i + 132 = 21*i - 3*z, -5*i = 4*z - 184. Put -1, i, -13 in increasing order.\nAnswer: -13, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/(-4))\/(1\/(-30)). Let g = n - 88. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24.5404 times 0.06\nAnswer: 1.472424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1. Let n(q) = 2*q**3 - 51. Determine n(h) - 6*y(h).\nAnswer: 2*h**3 - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 3:57 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 2. Let f(v) = v**3 + 15*v**2 + 13*v - 14. Let p be f(-14). Sort 5, p, q.\nAnswer: q, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -t + 3, 5*t + 2*o - 14 = 15. Suppose -6*b = -2*b - t*d, -3*d = -4*b + 8. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350 + 380 = 5*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**0*n**(-4))\/((n*(n\/(n\/(((n**1*n)\/n*n)\/n*n)))\/n)\/n**(-3)))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**3\/9 + 422*c**2 - 3800*c\/9 = 0.\nAnswer: -1900, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 11:40 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243746719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1100 - 1099. Let p be (-60)\/(-14) - (-2)\/(-7). Suppose p*d = 2*d + k + 7, -5*d + 19 = -2*k. What is the greatest common factor of d and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1877398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (31\/7 - 5)\/(2\/(-14)). Suppose -4*t = -8 + 28. Sort n, t, 2 in decreasing order.\nAnswer: n, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 - 2.3017746. Round r to 5 decimal places.\nAnswer: -0.00177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.2 (c) -2\/7 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17519 is divided by 762.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 divided by 108?\nAnswer: -31\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953041068.\nAnswer: 2, 3, 7, 3781909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.8 + -1.79971. Round u to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - ((-2 - 4) + (3 - -8)) - 13) + -37.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8136970553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001248572 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 14*z + 2780. Let q = 354 + z. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2063 - 2418. Which is bigger: -356 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 + 51 = -4*w. Solve 0 = -w*r + 8 + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132475 is divided by 446.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*j - 0 - 35. Calculate the greatest common factor of 25 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**5 + v**5 + 2*v**5)*(0 + 2 + 0) - v**5 - 3*v**3 + 3*v**3.\nAnswer: 5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61242 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: Work out -3.6369 * 1.\nAnswer: -3.6369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 25 = 5*w. Let h(k) = -k**3 - 3*k**2 + 3*k - 2. Let p be h(-4). Solve w = 4*s + p*l + 10, -2*s + 4*l - 30 = -0*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) 1.3 (c) -2 (d) -1\/150 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-11 - -3) + 1598\/(-16). Let h be 20\/25*w\/10. Let d(u) = u**2 + 5*u - 1. Give d(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/5 - 293*p**2\/5 - 1823*p\/5 + 474\/5.\nAnswer: (p - 79)*(p + 6)*(4*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.006 + -1.034. Let h = b + -0.06. Let y = h + 1. Are y and 29 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*k - 171 = -519, -5*k = 3*a - 194. Put -2, a, -2\/7, 2 in descending order.\nAnswer: a, 2, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3446*g + 3445*g - 3*i = 2*i - 28, 2*g + 4*i = 26 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.0934 (b) -2\/17 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + 1 - (18 + -33 + 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(147\/(-245)*10\/(-3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1274.168 to zero decimal places.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bibiqbqiobiiblobob. Give prob of sequence iqo.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5215*n**2 - 5638*n**2 + 1035*n**2.\nAnswer: -9818*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - 3*d**4 + 4*d**4 - 8*d**4 - 7 + 7 + (-1 - d**2 + 1)*(4*d**2 + 0*d**2 - d**2) + 0*d**4 + d**4 - 2*d**4.\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/2*(5 + -7) + -58090307. Let q = j + 24490311. Round q to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.038 != -10.624547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -117.624?\nAnswer: 11.7624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 8*m**2 - 4 + 2*m**2 + 6 - m**3 as q*m + b*m**2 + w*m**3 + y and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - -3336?\nAnswer: 3361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bblgjrer. What is prob of picking 2 b and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8*i**5 - i**3 - 3*i**2 - 10*i + 5. Let m(s) = -s**3 + s**2 + 2*s - 1. Let w(g) = -10*m(g) - 2*p(g). What is a in w(a) = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*k + 4*k**2 + 3*k**2 - 27*k.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3. Let v be (-5 + 3)*1\/5. Let o = -657 + 2629\/4. What is the closest to -0.2 in l, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 15*h + 2*h - 17*h to the form r*h + s and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2406 (base 7) in base 11?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 395141, 1579552, 3553233, 6316184?\nAnswer: 9868405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, w: 1, f: 5}. Give prob of picking 4 h.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - b = -52, -82 = -3*o - 2*o + 3*b. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 222.9 - 220.9. Let j = -1.99 + -0.01. Let t = -3 - -2. What is the closest to d in t, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2 + 231*i**2 + 5*i - 15 - 239*i**2 + 8. Let p(w) = 9*w**2 - 6*w + 6. What is 5*p(y) + 6*t(y)?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29708 != 29516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-7 - (-6 - -8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 9. Find the common denominator of (y - (-87)\/(-45))*280\/(-48) and -20\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2621*q + 2614*q = -5*y - 36, -4*q - 5*y = 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -109?\nAnswer: 32.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 46 = 4*h, 3*h - h = 2*l - 16. Let a be (h\/(-3))\/5*3. Factor 2*p**2 + 4*p - 5*p**2 - p**3 + a*p - 2*p**3.\nAnswer: -3*p*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.4989 rounded to 2 decimal places?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - p**2. Let l(h) = -11*h - 42*h**2 - 15*h**3 + 11*h + 54*h**3. Let c(z) = -6*a(z) - l(z). Find the third derivative of c(i) wrt i.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -1\/3 (c) 0.5 (d) -3282 (e) 5 (f) -30 (g) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1067*t + 20 = -1069*t, 6 = -t. Solve 0 = -5*k + 3*m - 5 + 31, b*k - 20 = 2*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 172*r**2 - 293*r - 1. Let g(q) = 71*q**2 - 146*q. Calculate -5*g(z) + 2*m(z).\nAnswer: -11*z**2 + 144*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 3*o + 3. Let p(s) = -8*s - 14. Let x be p(-2). Let k(t) = -5*t + x*t - 6*t + 1 + 10*t. What is -j(w) + 3*k(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3423\/41 + -17156\/205. Suppose -m + k - 4 + 1 = 0, 3*k = 4*m + 11. Let s be m\/12*(-6)\/(-9). What is the second biggest value in j, s, 3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.267696 years?\nAnswer: 0.006267696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-1)\/((-644)\/2060). Let z = 2\/23 - l. Let s = 161 + -160.5. What is the closest to -1\/4 in z, -4, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 1 - 1 + (2 + 2*m - 2)*(3 + 3 - 3) + (3*m - m - m)*(-4 + 2 + 4) - m + 4*m - 2*m in the form x*m + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + -5 + 1.\nAnswer: -4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (sqrt(288) - (4 + sqrt(288) + sqrt(288) + sqrt(288) + sqrt(288)*5)) - sqrt(288))**2 - (-2 + sqrt(288)*-1).\nAnswer: 684*sqrt(2) + 14130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, -5, -1\/2, -52, -0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.93, 3, -3, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-1)\/(-8))\/((-486)\/3888).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 107479 (c) 2\/5 (d) 0.1 (e) 2 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 3 = m. Let f(v) = -v**3 + 2*v**2 + 8*v - 7. Let y be f(m). Let b = -117 - y. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 29*v - 7. Let h(r) = 36*r - 7. Let k(q) = q. Let o(d) = -h(d) + 6*k(d). Let w(p) = 5*a(p) + 6*o(p). Is w(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1449099087?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 93.94532 microseconds?\nAnswer: 0.00009394532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 12*t**2 + 3*t. Let k be j(-2). Let r be (4\/((-4)\/(-105)))\/1. What is the greatest common factor of k and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.1 + 0.1. Let k = u - -11. Which is the nearest to 1? (a) k (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345, -694, -1045, -1398, -1753?\nAnswer: -2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42859042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {n: 2, z: 8, e: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1762*q**4 + 707*q**4 + 2328*q**4 + 2299*q**4)*(-2*q + 0*q + q).\nAnswer: -3572*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/1*2*8\/720.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 583, 590, 601, 616, 635, 658?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -325*z**4\/4 + z**2 + 910*z - 1578. Differentiate b(w) wrt w.\nAnswer: -975*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 + 165505*v**2 - 1369512495*v - 1369678005 = 0 for v.\nAnswer: -1, 16551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**2 + 16*z + 20 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9427 + 15202. List the prime factors of m.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/(3 + 0)*11\/(-33). Let i(v) be the first derivative of -3\/2*v**4 + 0*v**m + 0*v + v**2 + 3. Find the second derivative of i(l) wrt l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, 0, -33, -6, 3, -146 in decreasing order.\nAnswer: 10, 5, 3, 0, -6, -33, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/12 and -23\/270.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11001011010001001111001 (base 2) to base 15\nAnswer: -8b8839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 69 = 19. Let y be (-45)\/(-2)*(-16)\/b. Let i = -16 + 20. Calculate the greatest common factor of i and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(-3*(-5 + sqrt(50) + sqrt(2)))**2.\nAnswer: -5237 + 3240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**4 - 63*f**3 + 270*f**2 - 62*f. Let j(i) = i**4 + i**3 - i**2 + i. Let d(v) = -2*j(v) + p(v). Let d(t) = 0. Calculate t.\nAnswer: 0, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.42 + 0.12. Which is the closest to -1\/4? (a) -2\/7 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*a - 54971 = -52871 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.08 (c) 0.3 (d) 2\/3 (e) -4131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -641\/399535?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u + 14. What is the remainder when m(7) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (7 - -10)) + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -315 + 316. Let u(c) = -64*c**2 + 179*c - 6. Let s(l) = 2*l**2 + 1. Let z(y) = p*u(y) + 6*s(y). Find the second derivative of z(q) wrt q.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1909 and 415.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/5))**(-2\/3)\/(u**(1\/3)\/u)**(23\/5) assuming u is positive.\nAnswer: u**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3501 - -3498. Which is the closest to u? (a) 126 (b) 2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26962251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-23\/3)*s*s*s)\/((s\/(s*s*((s\/(s*s**(-1\/83)*s))\/s)\/s))\/s) assuming s is positive.\nAnswer: s**(-1408\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a1c058 (base 13) in base 3?\nAnswer: 21002102121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.61091km to micrometers.\nAnswer: 75610910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(2\/17)*i**(2\/17))\/(((i**(-4)*i)\/i)\/i*i**(-1\/3)))**23)**46 assuming i is positive.\nAnswer: i**(20102\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 6\/11 (c) -449 (d) -2 (e) -3 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 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: Solve 3*p = -30*p - 34*p - 268 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 6*r**2 - r - 8. Is 22 a factor of h(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -772 divided by 386?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + z + 1. Let j be f(-2). Let o be 9\/j*(-3 - -4). Suppose -2*d - 1 + o = 0. Put -4, d, 0 in decreasing order.\nAnswer: d, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 61344\/42174 + (-12)\/22\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39380 at most 39372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = 4*z + 3*c, 3*z + c - 2*c + 160 = 0. Let j be z\/(-75) + (-4)\/10. What is the third smallest value in j, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -207 in -0.6, 1, 5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*s - 545 = -2*y + 170*s, -2*s = -3*y + 790. Calculate the remainder when y is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.507, -5, 9\/7, -3\/8, 4 in descending order.\nAnswer: 4, 9\/7, 0.507, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -145*q + 141*q + 3420. What are the prime factors of q?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -863782988*n*q**2 - n*q + 5440*n - 2*q - 524 wrt q?\nAnswer: -1727565976*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-710)\/(-497)*(-14)\/4. Let t = 0.09 - -3.91. What is the third biggest value in q, -2, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -493788 or -493785?\nAnswer: -493785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75830 and 18.\nAnswer: 682470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-3*g - 2*g + 0*g)*(g**3 - g**4 - g**3).\nAnswer: -15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -42*m + 335. Let g(u) = -15*u + 112. Give -3*c(f) + 8*g(f).\nAnswer: 6*f - 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -72268 (base 10) in base 4?\nAnswer: -101221030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 842756623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1583 = 3*z - 1661. Let m = 2003 - 807. Calculate the greatest common divisor of z and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*w = -77 - 85 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 8:15 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n - 7 = 0. Let u = -5 + n. Suppose 3*l + 7 = -u*y + 45, 20 = 4*l - 5*y. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (0 - 12\/21). Is l less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 8*b - 4*b, u + 4*b = 37799984. Suppose -6*p + u = -0*p. Round p to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**3 + 6. Let y(k) = 14 + 11 - 24. What is -v(o) + 6*y(o)?\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 3:02 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (77 + 2 + -65) - (41 + -1 + 0)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 58\/3*o + 10\/3*o**4 + 30*o**2 + 18*o**3 = 0 for o.\nAnswer: -3, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)*b**(-4\/9)*b*b)\/(b**(-2))**49)\/((((b\/b**0)\/b*b*b)\/b)**(-28)*b**(1\/15)*b*b*(b*b\/(b*b*b*((b*b\/b**6*b)\/b)\/b))\/b*b*b) assuming b is positive.\nAnswer: b**(21643\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 409384.7 meters in centimeters?\nAnswer: 40938470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 109384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*i**6 - 187*i**5*x**3 + 958*i**2*x**3 - 2*x**3 wrt i?\nAnswer: -2400*i**3 - 11220*i**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 - 35. Let n = 61.943 - w. Let z = n - 0.053. Which is the third biggest value? (a) -1\/2 (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 384701\nAnswer: -4\/384701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5703 + 11700. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 10:56 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2301850 divided by 46037.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4143*i - 23101*i - 549782 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 145\/6. Which is the closest to 0.2? (a) l (b) -0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 10642*x - 10630*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 213*p**3 + 0*p**4 + 4 - 211*p**3 - 5*p**4 + p**2 - 2 to the form f + y*p + l*p**3 + d*p**4 + o*p**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Let r = 8 - 5. Let b(x) = -42489 + 42490 - 6*x + 0*x. Calculate r*j(d) + b(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4, -2, 84\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 9:34 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 292.\nAnswer: 2336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23066946 to the power of 1\/2, to the nearest integer?\nAnswer: 4803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65500, 65511, 65528, 65551, 65580, 65615, 65656?\nAnswer: 65703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a hour in seconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**4 - 2*m**4 + 0*m**4 + (-2*m**2 - m**2 + m**2)*(-4 + m**2 + 4) - 820117*m**4 + 820257*m**4 + 2 - 3*m**2 - m**2 - 2*m**3.\nAnswer: 141*m**4 - 2*m**3 - 4*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1017 by 113.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 307109\/44 + (30\/(-8))\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*(5355\/20)\/(-7)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736.2152ug to tonnes.\nAnswer: 0.0000000007362152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12002000 (base 4) in base 12?\nAnswer: -12368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by (0 - -2)*27\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1055*y - 7117. Calculate c(-6).\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -39*y**2 - 2*y. Let g(d) be the second derivative of 59*d**4\/6 + 7*d**3\/6 - 31*d + 16. Calculate -2*g(h) - 7*m(h).\nAnswer: 37*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/7 - 59*c**4\/7 + 814*c**3\/7 - 3044*c**2\/7 - 3272*c\/7 + 13120\/7 = 0. Calculate c.\nAnswer: -2, 2, 8, 10, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + q + 10 = 0, 2*q = -3*q. Let d be c - 2 - (-1 - 2). Suppose -5*k + 0*s + 1 = -s, 0 = -3*k - d*s + 15. Which is greater: 1\/2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11140?\nAnswer: 2, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.44 - 0.06. Let g = d + 9. What is the nearest to -3\/7 in g, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2 + sqrt(1539) + 0 + 2)*-5)**2.\nAnswer: -360*sqrt(19) + 38491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1398*-5*7\/105?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 579323*l - 579323*l - l**3 - 9052*l**2 to u + q*l**2 + z*l + r*l**3 and give q.\nAnswer: -9052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003695586 to five dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6333216.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 22 = -2*t, -2*t = -5*l + 30866. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13319362 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-5*-2*sqrt(3)).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20217, 161751, 545913, 1294017, 2527377, 4367307, 6935121, 10352133?\n\"Answer: 20219*y**3 + y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -26 + (-8 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 6*t + 20. Let w = t + 38. Suppose -p - 8 = -5*f, p + 1 - 5 = f. Calculate the smallest common multiple of w and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by ((-56)\/(-20))\/(3\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*u*y**4 + 2*u - 134*y**5 - 947*y**2 wrt y?\nAnswer: -624*u*y - 8040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -703, -2218, -3743, -5290, -6871, -8498?\nAnswer: -10183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c5476 - -1c?\nAnswer: c5493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-18)\/(-356)) + 116\/522. Suppose 0*b - 2*b + 4*v + 32 = 0, 4*b - 64 = -4*v. Suppose -b = -z - z. What is the highest common divisor of z and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 + 65. What is the smallest common multiple of 62 and 8\/16 - i*26\/(-4)?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - m - 15. Let f(d) = d**3 - 6*d**2 + 9*d - 10. Let w be f(5). Suppose 2*v + t = -5, 4*v - 2*t - w = 2*v. Calculate j(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(sqrt(66) - sqrt(66)*-3)*-4)\/((sqrt(384)*4 + sqrt(384))*1).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**4\/11 - 376*t**3\/11 - 26508*t**2\/11 - 830584*t\/11 - 9759362\/11 = 0?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-28)\/(o\/(o\/(o\/(o**(-3\/28)*o)))) assuming o is positive.\nAnswer: o**(-787\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -10, -21, -2.33?\nAnswer: -2.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 678*w + 147\/2*w**3 - 96 - 1218*w**2.\nAnswer: 3*(w - 16)*(7*w - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -203, -276, -379, -518, -699, -928, -1211?\nAnswer: -1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-1654\nAnswer: -1653.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(2\/111)*i**(-4\/3)*i**5\/i*i*(i\/(((i\/((i*i*i**(-2\/7))\/i*i))\/i)\/i))**(-2\/121)\/(i*(i*i*i*i**6*i)\/i*i\/(i\/(i**8*i))) assuming i is positive.\nAnswer: i**(-481326\/31339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 35 = -18*c. What is the remainder when 26 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 9. Let z be 0 - -2*1 - -5. Let q be s(z). Let c(t) = 5*t - 3 + 1 + q*t**2 + t**2 - t**3. Determine c(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 + 208. Suppose -2*t + 44 = -0*t. Calculate the remainder when v is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 154473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 498\/4233 + (-6414)\/(-102)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.01\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 5:16 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 281618748.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -961.7078 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 391 - 391. Put -5, i, -0.09, -2 in increasing order.\nAnswer: -5, -2, -0.09, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3 - 356*i**2 - 704*i = 0.\nAnswer: -176, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/(2\/(-60)). Let q be -5 + (38 - 0 - -5). Let c = q - o. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21141949 divided by -21.\nAnswer: -21141949\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 779470, 779391, 779260, 779077, 778842, 778555?\n\"Answer: -26*w**2 - w + 779497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 33*n**2 - 12*n + 13. Let h be m(1). Differentiate 114*i - h*i + 94*i + 84*i + 3*i - 165 with respect to i.\nAnswer: 261","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 57.84758 decades?\nAnswer: 5.784758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 11486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**5 - 282*l**4 - 52*l**3 - 195199*l**2 wrt l?\nAnswer: -180*l**2 - 6768*l - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5 + 15. Let d = q - -20. Suppose -3*f = -53 - 88. What is the remainder when f is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*f**2 + 52*f**2 - 105*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13488)\/464212)\/(18\/21)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**3\/3 + 4. Let h(v) = -v**2. What is h(b(w))?\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4262669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2145)\/(-10))\/(-1) + (-1)\/(-2). Let t = 1448\/7 + l. Find the common denominator of 10 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188*s**2 - 18502*s + 25744558 wrt s.\nAnswer: 376*s - 18502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -118. Let n(t) = -4*t**3 + 4*t**2 - 5*t + 12. Let y(u) = 5*u**3 - 3*u**2 + 4*u - 13. Let w(a) = -4*n(a) - 3*y(a). What is w(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2813, 22598, 76333, 180992, 353549, 610978, 970253?\n\"Answer: 2829*o**3 + o**2 - 21*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-817*t**2 - 178*t**4 + 817*t**2 + 3*t**3)*(0 + 4 - 7).\nAnswer: 534*t**4 - 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 10:18 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) + (-372)\/(-28). Let d = 40 - l. Let m = -539 - -546. Calculate the remainder when d is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w + 252*w**2 - 56*w + 33*w - 81*w**3.\nAnswer: -81*w**3 + 252*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21 - 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -16. Solve -7 + g = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6*1)\/((-2)\/3). Let j be (-2)\/4 - y\/2. Let w be (2\/12)\/(20\/(-80)). What is the closest to w in 1, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d**(1\/6)*d)*d**(2\/13)*d*d**(-16)*(d\/d**(1\/23)*d)\/d assuming d is positive.\nAnswer: d**(-23423\/1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8676?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*g**3 + 2093683*g**2 - 65122382*g.\nAnswer: -48*g + 4187366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by (-1)\/(3\/(-39 - 3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 44 = -2*i, 2*m = m + 1. Suppose 24*h = i*h. Solve x + 0 + 5 = h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and 36117349.\nAnswer: 32505614.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 31. What is the remainder when 7 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/11, 1\/4, -1\/3, -2\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 11395 = 2*i, 2*r - 3*i - 15182 = -2*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/9 and -133\/12396.\nAnswer: 37188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2955627*h*l*o + 43*h*o - 4*l*o + 3*l - 11*o + 744922 wrt h?\nAnswer: 2955627*l*o + 43*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 2*h**3 - 5*h**2\/2 - 9. Let f(c) = -7*c**2 + 4*c. Let t(v) = -3*f(v) - 4*o(v). What is the second derivative of t(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 13 = 16, -5*l - 4*k + 5427 = 0. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 43*q**2 + 147*q + 99. Let u be d(46). What is the greatest common divisor of 27 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**3\/3 + v**2\/2 + 3*v - 39. Give q(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 10. Let g be 0 + 2 - (1 - -4). Let c(v) = -3*v - 11. Let w(h) = g*c(h) - 4*u(h). What are the prime factors of w(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 898784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 617571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3\/8 + 107*x**2\/8 - 21*x\/4.\nAnswer: -x*(x - 21)*(5*x - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 8. Let b(r) = -r**2 - 7. Give 5*b(f) + 4*y(f).\nAnswer: -f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x - x - 2*x)*(-2*x + x + 0*x) + 3 - 3 + 2*x**2 + 2*x**2 + x**2 - 2*x**2 to the form o*x + u*x**2 + z and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -4 (c) -0.1 (d) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.13327 - 0.13327. Let w = 3 - 4. Sort -4, u, w, 0.056 in increasing order.\nAnswer: -4, w, 0.056, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -2.141.\nAnswer: -10.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3818 + -3817.98. Let l = 0.5 + -0.3. What is the nearest to 0 in a, l, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 108\/4135?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41198 (base 10) in base 5?\nAnswer: 2304243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 941827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 426973, 853945, 1280917, 1707889, 2134861, 2561833?\nAnswer: 2988805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*h + 2*j, 1222700*j = 1222685*j + 165 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, and 1 x when three letters picked without replacement from kkjkzkwzkxxk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 3) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeebbbeb. What is prob of sequence eb?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461904534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-135064.\nAnswer: -675320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l**3 - 2*l**2 + 36*l + 117. Calculate i(-6).\nAnswer: -2115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -121111110 (base 3) in base 15?\nAnswer: -386c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.666289 kilometers in millimeters?\nAnswer: 1666289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 5070.\nAnswer: 4\/2535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.616 + -19.66. Is 8 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*h + 392. Let t = h + 58. Calculate the greatest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b9aa9 - -2?\nAnswer: -b9aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**2\/5 - 1773036*p\/5 = 0?\nAnswer: 0, 1773036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, j: 9, k: 4}. Give prob of picking 4 t.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 309*a**2 - 186*a - 2243. Is z(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 - 2 - 2*a**4 + 3*a**2 + 0 + 4*a**3 as s + z*a + j*a**3 + q*a**4 + x*a**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4100905*h + 3223126 wrt h.\nAnswer: -4100905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 105?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.022 and -2.7.\nAnswer: 0.0594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 67918\nAnswer: -25\/67918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 690973.7 millilitres?\nAnswer: 690.9737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 - 2*f**4 + 2*f**4 - 6*f**4 + 3*f**4 + 2*f**4 + 3*f**4 - 2*f**4 + f**4 + (0 + 0 - 3*f**2)*(2*f**2 + 1 - 1) - 2*f**3 - 2*f**4 + 2*f**3.\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5926\/6247 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1003 + 94. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 8*c**2 - 7*c - 2. Let h be a(7). Let u be 3\/h*(-2)\/(-1). Let y(t) = t**3 + 2*t**2 - 4*t. What is the units digit of y(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/17 + 112*k**2 + 455050*k\/17 + 902500\/17.\nAnswer: 2*(k + 2)*(k + 475)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from ejxryyue?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 26*g**2 + 64. Let l be v(26). Find the third derivative of -8 - l*d**4 + 31 - 85*d**2 + 84*d**2 + 18 wrt d.\nAnswer: -1536*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 0 - 12. Let c = b - -8. Let o(w) = -4*w**2 - 6*w + 3*w + 2*w**c. Let r(f) = f**2 + f. Calculate -3*o(x) - 8*r(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 84*z**2 + 594*z.\nAnswer: 2*z*(z - 33)*(z - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12)*s**(-2\/15))**(-1\/44)*(s**(2\/3)*s)**(-2\/11)\/((s*s**(-1\/6))\/s**4) assuming s is positive.\nAnswer: s**(518\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 99*g + 18149. Calculate d(-108).\nAnswer: -4207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -21 - 73*c**2 + 76*c**2 + 21. Let i(w) be the second derivative of -16*w**3\/3 - 39*w. Determine i(p(g)).\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 266*j - 261*j = -42, -3*s + 9 = -3*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {u: 7, t: 5, q: 1, a: 2, g: 1, z: 1}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61, 173, 387, 757, 1337, 2181?\n\"Answer: 9*i**3 - 3*i**2 + 58*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/11 - 12*g**3\/11 + 80*g**2\/11.\nAnswer: -2*g**2*(g - 4)*(g + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 2 + 2)*(-k + 1 - 1) + 9*k**3 + 65*k - 65*k + (k**2 - 3*k**2 + k**2)*(0 + 0 - 3*k).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**5\/20 - 3*k**2. Let i be (6\/4)\/((-9)\/(-12)). Let z(j) = -2 + i + 2*j**2. What is h(z(l))?\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)*u*u\/u**3)**(2\/3) assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/5, 0.67, -4, -14\/3.\nAnswer: -14\/3, -4, -9\/5, 0.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -2521780.\nAnswer: 7565340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l - 174, -4*f - 3*l + 35 + 52 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * 6.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62788 is divided by 690.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 194, 198, 204, 212, 222, 234, 248?\n\"Answer: l**2 + l + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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*w = -4*i, i = 28*w - 23*w. Sort 83, -2, 3, i in descending order.\nAnswer: 83, 3, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 2\/15*t**5 - 2*t**2 - 1\/12*t**4 + 0 - 3*t + 0*t**3 - 1\/120*t**6. Calculate c(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 r when three letters picked without replacement from {a: 2, r: 7, l: 3}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 313.6 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44127, -88246, -132367, -176490, -220615?\nAnswer: -264742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 0\/17 + -2 + 65 + 6.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132 - -662\/5. Let g = 1.5 - 7.5. Let m = -5.7 - g. Which is the closest to n? (a) 0 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -240.9 - -241. What is the nearest to -4\/11 in p, 0.5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149659 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -n - 4, 5*n = 2*x - 7*x - 5. What is the remainder when 23 is divided by 1 + (-1 - n)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 146 = -3*t - 46, -3*c = -5*t + 176. Which is greater: t or 32?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 3*t**2 + 2*t**2)*(1 + 2 - 2) - t**2 - t**2 + t**2 + (17*t - 16 + 16)*(-2*t + 3*t + 0*t) + (2 + t - 2)*(3*t - 5*t + t).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:43 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.117, 3, -0.5, 0, -1.1 in increasing order.\nAnswer: -1.1, -0.5, -0.117, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from lrryrrrlyy.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from kvvctvtctkkvkvcvvbv?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m - 21*m - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 275*j**2 - 7188*j + 13284.\nAnswer: -(j - 246)*(j - 27)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -322581 + 322520.5916. Let o = z - -60.4. What is o rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**3 - 5 - 356*z**2 - 89*z**3 + 358*z**2 - 20*z**3 to k*z + x*z**3 + o + p*z**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 4*r - 3. Let l be d(1). What is the third derivative of -2*a**6 + l*a**6 - 4*a**2 + 2*a**6 wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4807054.14 rounded to the nearest 1000?\nAnswer: 4807000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 42 = -4*m. Suppose c + 504 = -5*n, -n - 78 = 2*c + m. Let r = n + 155. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**3 + 109*p**2. Let d(z) = 10*z**3 + 272*z**2. Suppose 23016*s - 105 = 23037*s. Determine s*d(q) + 12*k(q).\nAnswer: -2*q**3 - 52*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 + -1)*(-40)\/(-48). Solve t = 2*p - 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6479?\nAnswer: 11, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 516 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9 + 5\/(500\/1210) and 83\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 665 and 3787555.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29784 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 20 = 0, -9957*m = -9952*m + 2*x - 40 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**2 - 9*v + 100. Let c be r(3). Solve -1 = -c*n - 85 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 464*o**2. Let j(x) = 4831*x**2. Give d(j(h)).\nAnswer: 10829092304*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/360*(-16)\/130.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, r: 2, c: 6, w: 2}. What is prob of picking 3 c and 1 w?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*2\/(-3) - -22. Let q be -1 + -2*116\/(-8). Suppose 0 = b*v - q*v + 32. What is the smallest common multiple of v and 19?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 291 - 292. Let z = -55 - -23. Let w be (-144)\/z*(7 - f). Calculate the greatest common divisor of w and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/(sqrt(28)\/sqrt(4)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 - 18*o + 29. What is m(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 - 0. Let t = -11 + 10.977. Let z = q + t. What is z rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 142 = -4*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*p + 4*l, l - 2*l = 2*p - 10. Suppose 75 = p*d + 3. List the prime factors of (-123)\/2*3*(-12)\/d.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60330? (a) -0.8 (b) 1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4538632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxj when three letters picked without replacement from mcjmcmcvxdmmcmcmj?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 10 = 3*j - 0*j, -30 = -4*j - 2*o. Suppose 0 = -0*s + j*s - 20. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 + -81. Put t, 4, 2, 1 in ascending order.\nAnswer: t, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f**4 + 6*f**4 + 7*f**4 + (3*f + 4*f - 4*f)*(f**3 + 3*f**3 - 2*f**3) to m*f + r*f**2 + d*f**3 + l*f**4 + g and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(3*s + 1312 - 1312)*(-4*s - 3*s + 5*s).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14831628 is divided by 180?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18878153, 18878155, 18878157?\nAnswer: 18878159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22*-0.085.\nAnswer: -0.0187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 471 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -240*b + 471*b - 235*b. Let p(y) = 145*y. What is t(p(m))?\nAnswer: -580*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*r - 3*j, 3*r - j - j - 3 = 0. Let z be r\/(41\/(-10) + 4). Calculate the greatest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r**2 - r)*(-2*r - 3*r + 3*r) - 4*r**3 + 5*r**3 - 3*r**3 + (5*r**2 - r**2 - 3*r**2)*(-7*r - 1 + 1) - 2*r**3 + r**3 - r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 0*j - j)*(4 - 2 - 1)*(-26 + 5 - 41).\nAnswer: 434*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.06718166 rounded to 2 dps?\nAnswer: 18.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22728 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 0*t + 0*t**3 + 11\/2*t**2 - 8\/5*t**5 + 0*t**4 + 7. What is the second derivative of r(a) wrt a?\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = w - 4*l, -99*w + 101*w - 3*l - 16 = 0. Let g(q) = 4*q + 21. What is g(w)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -58?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73\/69 - -32\/23. Let p = -0.3 + 0.8. Which is the nearest to 0? (a) 1 (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3885*t**2 + 629*t - 629. Let y(n) be the second derivative of 37*n**4\/12 + n**3 - 3*n**2 + 152*n - 15. Calculate 6*x(a) - 629*y(a).\nAnswer: 37*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqfjddqjldqdjq. What is prob of picking 1 l and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 68, 130, 190, 248, 304, 358?\n\"Answer: -f**2 + 65*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8152051\/1420 + 62681\/71. Let g = 4862 + f. Find the common denominator of g and ((-5890)\/(-744))\/(1\/(-4)*2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8500 = -0*b - 4*z, b + 3*z - 2121 = 0. What are the prime factors of b?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 + 24*q + 20. Let h be f(-5). Solve -4*y + h*o = 3*o + 10, -y = 5*o + 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttl when three letters picked without replacement from {t: 3, l: 3, a: 1, j: 3, z: 1, n: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -1\/48*r**4 - 2*r + 0*r**5 + 1\/120*r**6 + 0*r**2 + 0 + 0*r**3. Let g(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/1176 and -3\/544.\nAnswer: 79968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = -5*x + 20, -5*c - x + 4 = 0. Suppose c = -5*l + l + 16. Let y = -1 - -5. Solve -2*t - 1 = y*d + 19, -3*d - 15 = -l*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 15 = -2*a. Let h be 2\/5 - (-14)\/(-10). Let u be 5\/(0 - 0 - h). What is the closest to 1\/4 in u, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 less than 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(1 + sqrt(17))*-2.\nAnswer: -30*sqrt(17) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, and 2 t when four letters picked without replacement from {t: 3, a: 1, e: 1, o: 1, p: 3, k: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 7*s**6\/180 + 37*s**5\/90 - 22*s**4\/9 - 28*s**3\/9 - 251*s**2 + 3. Find c such that h(c) = 0.\nAnswer: -7, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 w when three letters picked without replacement from {d: 7, q: 1, r: 6, w: 2, u: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 13*p**3\/6 + 65*p**2 - 18*p. Let c be f(-10). Solve 3*m = -b + 7, 2*b = 5*m - c + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 + 13*n**2 - 5*n - 11. Is q(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55506653?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 75*t + 5. Let r(a) = -74*a - 6. Give 5*p(b) + 4*r(b).\nAnswer: 79*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.01.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -15. Let c be m\/(-20)*2*-5. Suppose 282 = c*l + 3*y, -2*y - 90 + 370 = 4*l. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {h: 3, l: 2, w: 2, q: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 181667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5753 and 1782907.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146962 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2458*s**2 + 368*s.\nAnswer: 4916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/32296 and 69\/146.\nAnswer: 2357608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24563 - -22326.7. Let s = d + 2088. Let u = s - -155. What is u rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -c + 5*c - 5, 5*c - 4*q = 5. Solve 2*i + 0*i + 13 = -3*a, 5*i = c*a + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let a(j) = 254 - 36*j - 26*j - 254 - 25*j. Give a(r(o)).\nAnswer: -87*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7641 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1931342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, v: 1, t: 3}. What is prob of sequence tv?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 less than -4?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 - 4)*(8*o**3 - 3*o**3 + 0*o**3) as s*o**3 + w*o + b + g*o**2 and give s.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117)*-3 + sqrt(117) + 3) - -6*-1*sqrt(117))**2.\nAnswer: 54*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 3*n**2 - 9*n + 3. Let q(b) = 5*b**2 + b. Let j(t) = -t**2. Let k(c) = -4*j(c) - q(c). Let v(o) = -6*k(o) + 3*l(o). Solve v(s) = 0 for s.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 22 = 5*a. Let r(h) be the first derivative of h**2 - 6*h - 3. Calculate the smallest common multiple of 8 and r(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.6 + -0.035913\nAnswer: -10.635913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20458844 + 20458844 - 32*j.\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2070.82 * -0.5\nAnswer: -1035.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -31. Let u = 47 - 43. Let h = u + r. Solve h = l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4884 - -4945. Calculate the remainder when 806 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.142? (a) -3\/4 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 26 = 2*h, -32*x - 3*h + 33 = -29*x. Let l(w) = 2*w**2 + 9. Let q be l(-4). Is q <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1095.7 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 298 and 20.\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*a**4\/11 + 204*a**3\/11 - 1512*a**2\/11 + 784*a\/11 = 0 for a.\nAnswer: -2, 0, 14\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -u - 2*o, 4*u - 438 = 5*o - 3*o. Let h = u + -22. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 + ((-1)\/(-4))\/(9\/(-108)). Solve -3*n + 10 + a = -4*l, 0 = -5*n - l + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 9:26 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*c - 107 = 15*c + 226 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*x**2 - 825*x - 372.\nAnswer: 3*(x - 31)*(9*x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 154, -3, 3, 1, -111.\nAnswer: -111, -3, 1, 3, 11, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 26*-0.1719\nAnswer: -4.4694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l = -1449. Let t = -62 + l. Suppose 0 = -4*u + 4*j + 353 - 33, 5*u + 2*j - t = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7))**(-9\/4)\/(v\/v**(3\/10)*v\/v**3)*(v**(-2\/3)\/v)**(2\/17)\/(v**(-1\/8)*v\/v**(-1\/2)*v*v) assuming v is positive.\nAnswer: v**(-23251\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 5*o + 3*o - 80 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*n = 8 + 8, -4*n + 16 = 0. Let h = 124 - 59. Let w = h + k. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2. Let j(q) = -29*q. What is j(c(z))?\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309558569 to the nearest integer?\nAnswer: 17594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 133 and 418.\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9188 + -6631. Calculate the remainder when g is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/3 - 36196*t - 2498053\/3 = 0?\nAnswer: -23, 108611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2016771 is divided by 504186?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 + d**3 + 2*d**3 + (d + d**2 - d)*(-d - 1 + 1))*(-24 + 30 + 12).\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 33.9?\nAnswer: -34.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (sqrt(1573) - (-4 + sqrt(1573))) + -1 + 1 + 6*(sqrt(1573) + 2).\nAnswer: 16 + 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/30, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.66 + 4.62. Which is the nearest to 0.1? (a) -0.1 (b) v (c) -1\/4 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - z**2 + z - 1. Let m(k) = 7*k**4 - 2*k**3 + k**2 - 2*k + 2. Let g(f) = -m(f) - 2*x(f). Find the third derivative of g(t) wrt t.\nAnswer: -168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428029 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.47 - 4.22. Let l = w - -2.75. Which is the third smallest value? (a) 2\/25 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 268501.2 grams?\nAnswer: 268501200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 + 1170*v**2 + 2338*v.\nAnswer: v*(v + 2)*(v + 2338)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -5*b + 4, 2*b + 14 = -2*i + 3*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -104.292, 0.4, 0.5, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -79 - 49. Let z = 219 + -194. Let k = t - z. Solve 4*a = -k - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 5 - (-935 + 8\/4). Suppose 3*t = -2*t + x. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -104*f + 58. Determine o(4).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 728 = -5*g + 2*i, 5*g = i + 737. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12485 is divided by 1304.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - c - c - 72, 3*j + 4*c - 64 = 0. Let l be (-2)\/(-1)*40\/j. Let t(g) = -g + 5. What is t(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + t)*(-31 - 41 - 1).\nAnswer: -73*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 - (-378)\/(-72)*3. Suppose -4 = a - 0*z - 2*z, 0 = -a - 2*z - 4. What is the third biggest value in a, -1, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -16, -47, -110, -217, -380, -611, -922?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*v + 17. Let r = -12.41 - -3.41. What is the nearest to 0 in r, 4\/3, v?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 21*o**2 - 21*o - o - 205*o**3 - 17 + 3*o**2 + 204*o**3 + 0*o. Calculate v(23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(190)\/(sqrt(10)*-2) - (sqrt(931) + -1).\nAnswer: -13*sqrt(19)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4))**(4\/9)\/(i**0*i\/(((i\/(i\/i**2))\/i)\/i)))\/(i**(-2)*i\/i**(3\/4))**(-3\/4) assuming i is positive.\nAnswer: i**(-349\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33070583*o**5 + o**2 - 8*o + 415098 wrt o.\nAnswer: -1984234980*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 125121*b**2 + 1290796725*b + 288716921433.\nAnswer: 3*(b - 20963)**2*(b + 219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1472048 is divided by 868?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.2113 kilometers in millimeters?\nAnswer: 33211300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(90)\/(sqrt(30)\/sqrt(3)) + sqrt(9)) + 3)*-1.\nAnswer: -3 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o. Suppose -3*u + 18 = 3*s, 30 = 5*u - 2*s - 3*s. Suppose -8*d = -u*d - 42. Let p(w) = d*w**2 - w + w - 19*w**2. What is p(y(m))?\nAnswer: 162*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 92425153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 30*r**2 + 34*r + 169. What are the prime factors of p(-27)?\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:54 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 7. Let t(k) = -640*k**2. Give s(t(l)).\nAnswer: -640*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxtct.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/4)\/((-7)\/343). Let j = -43\/4 - s. What is u in 0 - 3\/8*u**3 - 3\/2*u**2 - j*u = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*l - 4 - 0, 10 = 2*l. Let s be (o\/(-6))\/(7\/14). Suppose s*f - 201 - 135 = 0. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3257707 is divided by 2837.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j**2 + 52*j + 80. What is the least common multiple of w(-8) and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 w when four letters picked without replacement from {m: 1, w: 4, k: 1, t: 2, e: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156006 by -16.\nAnswer: 78003\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*d + 265 - 1352, -y + 3*d + 548 = 0. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -196634, -393291, -589946, -786599?\n\"Answer: z**2 - 196660*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 314?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 404121445?\nAnswer: 404121454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 3*m**2 + 3*m. Let i be s(-4). Let z be 8\/6 - i\/(-6). Solve -2*g = -2*k - 2*k - z, 0 = g - k - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 - 3*s + 58. Is f(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/31 - 5\/186. Let k = 8 + -5. Let n = 1.06 - 0.76. Which is the nearest to n? (a) 4 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-502 + 480)\/(4\/2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -6. Suppose 4*y - b = 4. Is y >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5212503\/100 + -52125. Let r be (-12)\/45 - (-2)\/(-5). Put r, a, -4 in increasing order.\nAnswer: -4, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Find the common denominator of 183\/180 - v\/(-6) and 47\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 170*u - 119*u - 79. Suppose 8 = 2*k, k - 2*k + 6894 = 5*x. Suppose u*o - x = -o - 3*n, -552 = -2*o - 2*n. What are the prime factors of o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 65. Let s(c) = -28. Let t(q) = -3*r(q) - 7*s(q). Let l(p) be the first derivative of p**3\/3 - 4*p + 5. Calculate l(n) + 4*t(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - (40 - -102 - 68)?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**3\/6 - g. Let z(m) = -2*m + 2*m + m - 4*m. Let k(v) = -4*v. Let p(h) = 5*k(h) - 7*z(h). Give n(p(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + k**2 - 2*k**2)*(-2*k + 5*k - 6*k + (k + k - 4*k)*(0 + 2 + 0) - 2*k + 3 - 3).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 961*x**3 - 244*x**3 - 238*x**3 - 241*x**3 - 240*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1155591086933 and 22.\nAnswer: 1155591086955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/11, 5\/3, -9, 0.133?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 + 4*i + 7. Let g(m) = -8*m**3 - 17*m - 29. Let k(x) = -25*d(x) - 6*g(x). Let o be 4*-2 - (-2)\/2. Let v = o + 8. Give k(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6aa - -13?\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-800)\/(-60) - (28 + -352)\/(-27)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -1\/2*z**2 + 0 - z. Let m(a) = a + 2. Determine m(b) + 2*u(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 2820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 12, l: 3, f: 2}. Give prob of picking 2 i.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 5 - 5)*(5 + 0 - 4) - 118 - 116 + 227 + 10*z.\nAnswer: 13*z - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3086 or -21612\/7?\nAnswer: -3086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-3 + -10 + 23).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 1:07 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98805.95ng to grams.\nAnswer: 0.00009880595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*a + 137, a - 47 = -0*d - d. Let m(f) = -24 + f + a - 19. Let b(s) = 6*s**2 - 17*s. Determine m(b(i)).\nAnswer: 6*i**2 - 17*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggccg. What is prob of picking 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*f**2 - 7*f**2 + 3*f - 45*f**2 - 1 wrt f.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 234 = -58*z - 37*z + 390 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13401621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 760 + 257*h - 760 + (3 + 3 - 1)*(0*h + 0*h + 2*h).\nAnswer: 267*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 10. Let f = q + -3.7. Let k = f - 0.300035. Round k to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1418970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13 - -18 - (90\/4)\/9. Which is the nearest to 18\/7? (a) 2\/5 (b) k (c) -0.05 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001000102 + 12120221?\nAnswer: -2211102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000068027 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -2505220?\nAnswer: 2505232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1559864356 to the nearest integer?\nAnswer: 39495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 180 = 4*k. Let v = k - 16. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/90*(-149)\/4 and (-25)\/(-45)*(-135)\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -21. Let z(t) = 3*t**2 + 5*t + 4. What is the remainder when z(-3) is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 942 * 0.034845.\nAnswer: 32.82399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 36 (b) 51514 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11737 and 2984399?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 772 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 3*l**2 + l - 5. Let y(f) be the first derivative of f**3\/3 - f + 23. Determine -g(r) + 5*y(r).\nAnswer: 2*r**3 + 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 15. Let x = -22 + d. Which is the closest to x? (a) 0.5 (b) 0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -3*c**2\/2 - 15*c + 4836. Determine v(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/31)\/k*k**(-4\/3))**(-1\/16) assuming k is positive.\nAnswer: k**(59\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-100)\/(-6))\/((-50)\/(-12) - 4). Suppose -2*d = a - 432. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**3 + 7*j + 6. Let k(g) = 2*g + 22. Let f be k(-9). Let n(y) = -4*y - 2*y**3 - 53 - 56 + 106. What is f*q(a) + 7*n(a)?\nAnswer: 2*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -238 - -237. Which is the fourth biggest value? (a) -1\/9 (b) m (c) 0 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/18*(9\/(-132))\/((-12)\/66)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 0.5, -2, -5\/7, 181?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91277, -93824, -96357, -98870, -101357, -103812, -106229?\nAnswer: -108602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -38) + -19 + 37\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*w + 4*m - 5, 5*w = -m + 16. Suppose w*k - 44 = -2*n + 5*k, 2*k - 4 = 0. Suppose -x = -n - 42. Calculate the greatest common factor of x and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147 + 147. Suppose 4*g = 3*x - 25, k = 4*x - 8*g + 3*g - 32. Solve 15 = -2*i - x*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - w - 2*w)*(4 + 0 - 2) + (-2*w + 0 + 0)*(1 - 3 + 4) + 3 - 3 + w + 160 - 160 + 10*w + (0 + 4 - 3)*(-3*w + 4*w + w) - 1 - w + 1.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - w + 1 + w - 1 + (3*w - 2*w - 2*w)*(2 + 0 + 0) + (-7 + 2 + 2)*(5*w + 6*w - w) - 12*w - 13*w + 7*w in the form h*w + q and give h.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2602 + 0.04.\nAnswer: 0.3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - n**3 + 6*n**3 + 3*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvkykkkkkvvbkv. What is prob of sequence bky?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 - -0.15. Which is the smallest value? (a) -0.1 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.01 (c) -3 (d) -1.3562039\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-67)\/(-2) + 18\/(-12). Suppose -10 = -z*j + 27*j. Suppose d - b + 3*b - 16 = 0, 0 = -j*d + 3*b + 60. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10987074 divided by 7\nAnswer: -1569582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1095 in 0.3, -4, -1\/3, -146\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -16940 + 8470 + 8473 - 2*j - 22*j**2 + 9*j**3 as x*j**3 + h + v*j + m*j**2 and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -36. What is the common denominator of (-6)\/12 + 53\/l and -57\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 7, w: 3}. What is prob of sequence wwc?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 186 + 63. Let s be (-1)\/2 + i\/510. Let h = 10\/17 - s. Which is the closest to -4? (a) -0.3 (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**3*t*t*t)**(-4\/5)*(t\/t**(-12))\/(t**(-6)*t) assuming t is positive.\nAnswer: t**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x. Let r(g) be the third derivative of 11*g**4\/12 - 37*g**2 - 2. What is -12*k(i) - r(i)?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4527, 8836, 12699, 15894, 18199?\n\"Answer: -37*j**3 - j**2 + 4571*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:24 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - r + 6 + 0.\nAnswer: -3*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 6*f**2 + 31 - 8 + 3*f**3 - 11*f - 2*f**3. Let u be d(7). Solve -7*g = -u*g - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 720 and 18240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:36 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004538 rounded to 4 dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 9*i**2 - i + 8. Let m(r) = r**3 + 10*r**2 - 9. Let h(a) = 4*j(a) + 3*m(a). Calculate h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -1. Let g(d) = -t + d + 2 + 5. What is g(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (252\/(-24) + 8)*-690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three halves of a year?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 2.\nAnswer: -13, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14292*x - 73163*x - 50101*x.\nAnswer: -108972*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/52)\/((-3)\/(-1))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84453, -84461, -84455, -84441, -84425?\nAnswer: -84413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -3, 3, 5.\nAnswer: -80, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -6*r - 610. List the prime factors of r.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 4515?\nAnswer: -1\/4515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3379 - -3375. Which is the second biggest value? (a) r (b) 2\/7 (c) -6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 1. Let w be d(2). Let u be 1\/w - 55\/(-15). Suppose 0*h - 2*h - u = -3*o, 8 = -o + 3*h. Sort -3, o, 1.\nAnswer: -3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47225, -94398, -141583, -188786, -236013, -283270?\nAnswer: -330563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x - 3*n - 5660000, -3*n - 11320000 = 4*x. What is x rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23437 - -23448. What is the remainder when 13045 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 + 6 - t + 2 + t**3 - 6*t. List the prime factors of r(5).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(273\/(-270))*39200. What is g rounded to the nearest 10000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 79. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -22, 4, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 84.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6177294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17883 divided by -1180.\nAnswer: -17883\/1180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**3 - 2*c**2 + 2*c - 2. Let b(h) = -h**3 - h + 1. Determine 2*b(d) + f(d).\nAnswer: d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 3*o - 3*o)*(-14 - 3 - 54)*(-2 + 2*o + 2).\nAnswer: -426*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16530 and -0.5.\nAnswer: -8265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 66759*29.42\nAnswer: 1964049.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (sqrt(175) - (sqrt(175)*5)**2)*-1 - sqrt(175)) + (-6*sqrt(21)\/sqrt(3)*-1)**2 + 0.\nAnswer: -4123 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -86, -91, -98, -107, -118, -131?\n\"Answer: -r**2 - 2*r - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -12. Let t be (w - (-3)\/1) + 3. Suppose 3*n + 24 = 3*k, t = 4*k + 2*n - 0*n - 38. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -766\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*((3*n**2 - n**2 - n**2)*(-2*n - 2 + 2) + 69*n**3 - 286*n**3 + 106*n**3 + 5*n + 3*n - 9*n - 3*n**3).\nAnswer: 116*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -96, -70, -18, 72, 212, 414, 690?\n\"Answer: 2*n**3 + n**2 + 9*n - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 387088368 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/172680 and 22\/21585.\nAnswer: 172680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/1918607 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/130320 and 37\/30?\nAnswer: 130320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109741970 and 254.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -7. Suppose -q = -u - 4. Solve 6 = u*s - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqhhhqh. What is prob of picking 1 q and 2 h?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g - 3*g)*(4*g**2 - 6*g**2 + 0*g**2)*(39*g**2 - 4*g**2 - 16*g**2) - 4*g**5 + 3*g**5 + 0*g**5.\nAnswer: 37*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + 48*b + 48*b - 17*b**2 - 97*b to the form w*b**3 + o + r*b + x*b**2 and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3\/7 - 78044*i**2\/7 + 14*i + 546308 = 0?\nAnswer: -39022, -7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104650311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*g**3 - 65 + 65)*(57 + 27 + 7) - 2*g**3 + g**2 - g**2 as t*g + a*g**3 + r*g**2 + s and give a.\nAnswer: -1731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67754 and 2432?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 423252219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 5:45 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3522*m = -776*m - 115788 + 5948 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (0 - (-1440)\/(-4)). Suppose 6*j + 93 = b. Calculate the lowest common multiple of 3 and (-8)\/(j\/(-105) - (-8)\/(-14)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -55351*o + 3210354. Give t(58).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*n**3 + 85*n**2 + 9 - 27*n**2 - 43 - n**3 wrt n?\nAnswer: -3*n**2 + 116*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 - -149. Let l = 8 - m. Put -6, 0, 1, l in decreasing order.\nAnswer: l, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) -1\/6 (c) 0.3 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 127*i + 1 - 7 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 2*h = 33 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (102 - 105) + 1 + (-1 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 82, 79, 58, 13, -62, -173?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:17 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 25 = -2*q + i, 2*i + 22 = 2*q. Suppose 0 = 2*f + 2*f - 4. Let a be 16 + q + (-1)\/f. What is the highest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g + 1 + 1 - 1 + 5 - 3*g. Calculate p(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5821*n + 511. Does 133 divide l(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 226 - 1134\/5. Let g = -200 + 1798\/9. Find the common denominator of g and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -18 - 11 + y**2 + 0*y + 5 - 6*y. Calculate the remainder when x(12) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -79, 0, 0.3, 109\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 34*t + 46. Let f be 6\/4*(14\/6 + 1). Suppose 6 = z - 5*n, f*z + 2*n - 30 = -0*n. What are the prime factors of s(z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 184*z**3 - 28*z**2 - 7*z - 7. Let h(n) = 123*n**3 - 19*n**2 - 5*n - 5. What is 5*c(y) - 7*h(y)?\nAnswer: 59*y**3 - 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 25 - 5*o + 0*o + 11. Let i be d(-8). Solve -i*l = 2*l - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g**2 + 2*g - 13. Let k(s) = 6*s**2 + 17*s + 2. Let v(d) = -d**2 - 9*d + 2. Let m(u) = k(u) + 2*v(u). Determine 6*h(a) + 13*m(a).\nAnswer: -2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -82 - 16. What is the tens digit of (-4260)\/(-8)*b\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -13, 3033, -5 in decreasing order.\nAnswer: 3033, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000090361056 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - j - 5*j)*((-15 - 3*j + 15)*(1 + 1 - 4) - 5*j + 4*j + 2*j) to s*j + h*j**2 + y and give h.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 873 = 5*i + g + 847, 18 = 4*i - 2*g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -160 + 162. Solve -p - 1 - l = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 - -7) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -118 + 14. Suppose -3*o + 79 = r. Calculate the greatest common divisor of o and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 833088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/9*(-1 + 4). Let k(o) = 3*o**2 + 5*o + 6. Let q(w) = w**2 - 6*w - 3. Let j be q(6). Let y be k(j). Calculate the highest common divisor of i and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6193420 and 6193420.\nAnswer: 6193420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47517*q**4 - 127806 wrt q?\nAnswer: -190068*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*t + 27 = 0, -5 = -4*t - 1. Let o = -7 + d. Suppose 5*k + 3*r - r = -33, 2*r + 18 = -2*k. What is the third biggest value in o, 0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7727295224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)\/(-5*sqrt(8) + sqrt(8)) + sqrt(48))\/(sqrt(216)*5).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/8354258 and -131\/6835302?\nAnswer: 75188322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*s - 11*s - 92*s - 41*s as n*s + y and give n.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 9) to base 11.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 689*g**2 - 342*g**2 - 11*g**3 - 348*g**2 - 13*g + 3 as w*g + u*g**3 + x*g**2 + h and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m + 21*m - 8*m + 19*m + 1. Let i be ((-78)\/65)\/((-4)\/10). Let y be h(i). What is the greatest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 40*k**2 - 11)*(-2 - 2 + 5) + (-k - 1 + 1)*(-k + 6*k - 2*k) as g*k + j*k**2 + h and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1917790, 3835583, 5753376, 7671169, 9588962, 11506755?\n\"Answer: 1917793*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 357192 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*r - 70. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**5\/60 - n**4\/6 + 11*n**2\/2 + 2*n. Let r(w) be the first derivative of m(w). Calculate r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*m + 40*m - 47*m)*(2 - 1 - 23) to the form c*m + i and give c.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/7)\/1)\/(62\/1860*-10)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2638836 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + w**2 - 13*w - 19. List the prime factors of d(-7).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2588*i = 592*i - 5183 - 4357 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -66934*-96\nAnswer: 6425664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**7\/630 - f**4\/12 + 2*f**2. Let m(w) be the second derivative of v(w). Let z(h) = -1 + 1 - 2*h. Give m(z(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 - 21*w - 17. Let v be p(-6). Let h be ((-12)\/(-21))\/(20\/14). Which is the biggest value? (a) v (b) -4 (c) 0 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.471 to one dp.\nAnswer: -38.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9}. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252 = -12*p + 156 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 2:58 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 920 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354756 is divided by 124?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*w - 3*w. Let p = 15 - 15. Suppose 2*t - 4*t + 14 = p. What is the remainder when t is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2683268.9777 from -3.\nAnswer: -2683271.9777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353*h = 356*h - 50469. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35\/8 (b) 2\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/4? (a) -0.5 (b) -1\/9 (c) -0.13 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 10*n - 8. Let y be i(-10). Let k = 13 - y. Let s = 10 + 1. What is the remainder when k is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 4*u**2 - 8*u - 4. List the prime factors of g(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2)*(-100)\/(-250)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9338261047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from rutyurzt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.072 - 2.6\nAnswer: -2.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-235)\/(-10) + -5 - 17)*(-6)\/5\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4)*(-36)\/(-42)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-3384)\/(-22) + 16\/88. Let y = l - 146. Suppose o + 2*b = -o + 12, -2*b = -4*o + 24. What is the remainder when y is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.38 - 2.38. Let n = 3 + -2. Which is the closest to m? (a) 2 (b) 1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 6:33 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*g - 25. Let m be -3 + 0 + 9 + g. Suppose -f + 6*f = -5*b + 215, m*b + 4*f = 211. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f**(-20)\/f)))*f*f*f*f*f\/(f**(3\/10)\/f)*f*f)\/(f*f**(-7)*f)**(27\/4) assuming f is positive.\nAnswer: f**(1269\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459 = -2*k - 7*k. What is the remainder when k is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 506*j**6 - j**5 + 316*j**2 wrt j?\nAnswer: 60720*j**3 - 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q**3 - 13*q**2 + 4*q + 11. Let z(g) = 9*g**3 + 12*g**2 - 3*g - 8. Calculate -3*u(a) - 4*z(a).\nAnswer: -12*a**3 - 9*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 23*l - 2936. Give r(128).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*c + 11 = 0, 2*d + c - 14 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84765304?\nAnswer: 2, 13, 23, 35437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*g**3 - 14 wrt g.\nAnswer: 198*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -754, 2\/5, 131, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 12:07 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**3. Let z be q(1). Let f be z\/10*(-1 + 11). Let l be 0 - (-2 - f\/2). Is l < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 5*v**3 + v + 7*v**3 - v**3 - 4*v**3 - v**3 - 4 + 4 + (-2 + 2 - v)*(0*v**2 + 2*v**2 + 0*v**2) to the form j*v**3 + y*v + d*v**2 + t and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300525475 divided by -5.\nAnswer: 60105095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-21))\/((-2331)\/(-1813))*6\/118?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.325499 nanograms?\nAnswer: 0.000000000000001325499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40245 - 21146. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21648 divided by 3.\nAnswer: -7216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4861 - 4861. Let u(c) be the second derivative of 1\/2*c**3 + g - 7*c + 1\/12*c**4 + 0*c**2. Factor u(j).\nAnswer: j*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**0\/o)))**(2\/37)\/(o*o\/(o*o**(2\/5)*o))**(-41) assuming o is positive.\nAnswer: o**(-3044\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-132))\/((-522)\/(-957)))\/((-4)\/40)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*f - 24. Let b be 129 - (1 + 1)*(-1)\/f. Let u = -78 + b. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0127368 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**30\/(o**(1\/8)\/(o\/(o*o**1))) assuming o is positive.\nAnswer: o**(231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 4.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 8*c = -5*k, -3*c - 4*k = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - 5718?\nAnswer: -5701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from lglgjllklbgjbglj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443562164 a multiple of 8031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3 - 11 = -4*g, g = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1464574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3*k - 16, -4*x - k + 55 = 45 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1222, -2435, -3648, -4861?\nAnswer: -6074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2 + sqrt(288))**2 + -5 + -4).\nAnswer: -1415 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (-18 - -12 - (17 + (9 - 12) + -8))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:59 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-16) + (-1025)\/328. Let v be 3\/(-2 - -5)*1 - a. Suppose -2*n = k - 0*n - 7, 5*n + 2 = 4*k. Solve -k*u = -v*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 2916 - 2923. What is the biggest value in -0.2, 3, b, -0.02, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295486 (base 10) in base 15?\nAnswer: -5c841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 2:49 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 0 + 1 + 0*l. Let h(t) be the second derivative of -5\/2*t**2 + 2*t - 4\/3*t**3 + 0. Determine h(g) + 6*z(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l**3 - 43*l**3 + 15*l**3 + 11*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 12*z**2 - 10*z. Let u(m) = 109*m. Determine c(u(f)).\nAnswer: 142572*f**2 - 1090*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15164655 and 5110.\nAnswer: 212305170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/34, -3, 1\/4, -1\/2 in decreasing order.\nAnswer: 1\/4, -1\/34, -0.3, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 419 + -2?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3*x - 14, -4*d = x - 0*x - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -13*m**7\/7 - 5*m**4\/12 + 527*m**3\/3 - 60*m + 5. What is the second derivative of b(w) wrt w?\nAnswer: -1560*w**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - z + 3. Let k be b(0). Let o be 3\/2 + 4 + 21\/(-14). Suppose r + g + 2 = 0, -2*r = -4*r - g. Solve -12 = -o*m - 2*h, m + k*h = -m - r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 529 - (-3 - 5 - 0). Let c = h - -551. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 12669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - -31. Suppose 5*d + b = 3*t, 3*t - 52 = -0*d - 4*d. Calculate the least common multiple of t and 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4 + 11. Suppose -5*t = -y + 10, -4*y + 47 = -w*t - 61. Let j = -56 + 60. Solve y = j*b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Let x = p + 5. Suppose v = 2*h - 5, x = 4*h - 0*h - 3*v. Solve 4*s - h = r, 6*s + 3 = -5*r + 4*s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1.9. Let t = -14 - -13. Let o be (2*(-9)\/(-12))\/t. Put -3, o, l in decreasing order.\nAnswer: l, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g**2 + 9*g - 10*g + g**3 - g - 3. What is the remainder when y(-6) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*o\/o**42))\/o*o**(23\/5))\/(o*o**(-1\/17))**(-12\/13))**(-8) assuming o is positive.\nAnswer: o**(-393104\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = u - 4*t - 0, 4*u + 4*t - 8 = 0. Let r(x) = x**2 + 0*x + 2*x**3 - u*x + 2*x - 2*x**2. Let q(g) = -4*g**3 + 2*g**2 + 5*g. Calculate -3*q(i) - 5*r(i).\nAnswer: 2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 160642248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.7 + 3. Let h = 0.17 - a. Let x = -6.3 + 10.3. Sort h, -3\/2, x.\nAnswer: -3\/2, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, -0.7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66447.\nAnswer: 3, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13*f**2 - 6*f + 5. Let l(d) = -38*d**2 - 17*d + 16. Let n(i) = 6*l(i) - 17*u(i). Differentiate n(v) wrt v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 293, 2359, 7965, 18881, 36877, 63723, 101189?\n\"Answer: 295*i**3 + i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = 3. Suppose l*m - 20 = -0*g - 4*g, 0 = 4*g + 3*m - 12. Let c = 21 - 41\/2. What is the smallest value in g, 2, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*(2*sqrt(99))**2*-4 - (3 + 4 + (-2*sqrt(99))**2 + sqrt(99))))*2.\nAnswer: -7152 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 2017548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2754 - 913. What are the prime factors of z?\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 51645?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 88*k + 1200. What is the smallest common multiple of k and 228?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2057) + 1 + sqrt(2057))*4)**2 - (sqrt(1088) + 1 - (sqrt(17) - (-2*sqrt(17)*-5)**2)).\nAnswer: -7*sqrt(17) + 129947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-608)\/(-114) + -4 + -2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 244 + 538. Calculate the remainder when k is divided by 203.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 - 2.25. Let k = y - 0.55. Let h(g) = g**3 + 4*g**2 - 5*g + 4. Let j be h(-5). Which is the third smallest value? (a) k (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1171867640*m**3 + 775878461*m wrt m?\nAnswer: -7031205840*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 27?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 11144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 11633396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 40*t**2 + 3*t + 2. Is k(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14971, 59891, 134799, 239725, 374699, 539751, 734911?\nAnswer: 960209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 451598+-1.1\nAnswer: 451596.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -48*((-18)\/16)\/((-3)\/(-2)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5399.558 grams in tonnes?\nAnswer: 0.005399558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127 - -72. Let g(k) = 135*k**2. Let q(d) = 5*d**2. What is s*q(h) + 2*g(h)?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14279098 by -4.\nAnswer: 7139549\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1638*h**2*n**3*q + 687*h**2*n**3 + 2*h**2*n**2 + 2*h*n**3 wrt q.\nAnswer: -1638*h**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73465\/12888 - 13\/1611. What is the common denominator of (-1)\/(-2) + (-485)\/330 and l?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/7 - 1352*j**2\/7 - 31452*j\/7 - 82080\/7.\nAnswer: 4*(j - 360)*(j + 3)*(j + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 (base 7) in base 15?\nAnswer: -b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35.161 + 34.961. What is the nearest to i in 2, -0.7, -77?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 d when three letters picked without replacement from aaadaaaaaaaaadadaaaa?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1607 is divided by 66?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**2\/2 + 22*p - 9\/2 = 0?\nAnswer: -9, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*f + 30*f + 5*f - 54 - 176*f + 32*f.\nAnswer: -64*f - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.08, -6222\/5, 5\/2?\nAnswer: -6222\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-15))\/(4 + -2). Which is the closest to y? (a) -3 (b) -4\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 682 + 142*d**2 + 4186*d**2 + 6724*d**2 + 1554*d**2 - 10006 with respect to d.\nAnswer: 25212*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -n + 9. Let a be (1 - 2)\/(n\/(-15)). Suppose -a*k + 14 = -71. What is the remainder when k is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*s - 28*s + 18*s - 89)*(-14 + 1 + 2)*(-8 + 4 - 18) in the form m + z*s and give z.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/9 - (-296)\/6. Suppose 3*c + 0*i = -5*i - s, -c = i + 15. Let q = 40 + c. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, 151, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/5 - -17*2\/90. Let s = -0.2 + 0. Let v = -1.8 + s. What is the third biggest value in v, j, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 81 = 3*j. Suppose 104*k - 124*k = -360. What is the greatest common factor of j and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 4)*(35 + 95 + 49)*(-1 - 2 + 0)*(0 - 2 + 1)*(6*n**2 - n**2 - 2*n**2) to t + m*n**2 + r*n and give m.\nAnswer: 9666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*b - 173*b**5 + 136*b**2 + 36*b + 139*b**2 + 41*b wrt b.\nAnswer: -10380*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114492655 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 5, l: 4, x: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 at least as big as 4033561\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/2 + 33*j**3\/2 - 159*j**2 + 400*j + 576.\nAnswer: -(j - 18)*(j - 8)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4061 and 46656829?\nAnswer: 4061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*n + 19 = -482*n + 2*p, 16 = -5*n + 3*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -806, -1594, -2384, -3176, -3970?\nAnswer: -4766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1030634 and 2061268?\nAnswer: 2061268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-6) - (-12)\/(-18). Let l(s) = -2*s + 4. Let g be l(4). What is the third biggest value in r, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000010000001 (base 2) to base 6\nAnswer: -133253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 86\/6 - (-2)\/(-6). Solve -5*l - 3*m = 24, -5*l - 5*m - 16 - d = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-22)\/j**32 assuming j is positive.\nAnswer: j**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**3\/3 + w + 9831. Let q(h) = 9*h**2 + 3*h + 2. What is -4*f(m) + q(m)?\nAnswer: 13*m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 0)*(-84)\/16. Let b = o + -21. Suppose b = -0*d + 2*d - 2*g - 192, 2*d - 3*g - 193 = 0. Calculate the greatest common divisor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22169428 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 - 6*v**2 + 6*v**2 + (3*v - 4*v + 5*v)*(4*v**3 + 2*v**3 - 5*v**3).\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(35\/525 - 94\/60).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(5) + 5 + 5)*1 + 2 + 4)**2*6.\nAnswer: 384*sqrt(5) + 1656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001254838 rounded to five decimal places?\nAnswer: 0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.4 minus 0.2?\nAnswer: 106.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**4\/6 - 3*l**3 - 25*l**2\/2 + 1276*l. Give w(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7 = -2*r, -d - 3 = -3*r + r. Let g(n) = -n + 1. Let y be g(-1). Solve y*m = -3*o + 1, -m + 0 = r*o + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 5, -0.4, -466684?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(180)*1*3 - sqrt(180))**2 + (5 + sqrt(720)*-1)**2 + -1.\nAnswer: -120*sqrt(5) + 1465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 350544830 + -8.89026?\nAnswer: 350544821.10974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 3*o + 0*o + 3*o + 0*o - o + (-2 + 2 - 2*o)*(-5 + 3 + 1) + 14*o + 39*o - 8*o)*(0*o**2 - 5*o**2 - o**2).\nAnswer: -300*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 46.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 167.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 m, 1 i, and 1 c when four letters picked without replacement from {c: 2, i: 2, f: 1, p: 2, a: 1, m: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/3))**(2\/5)*d**(2\/3)*d**(5\/2)*d assuming d is positive.\nAnswer: d**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = 392 - 378 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580 - 1776 = -5*s + p, -3*s + 5*p + 1396 = 0. What is the smallest common multiple of 64 and s?\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 34*b + 84. Give y(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55204443 - -44?\nAnswer: -55204355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 120220 (base 3) in base 10?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -219, 0, -3, -739, 3 in descending order.\nAnswer: 7, 3, 0, -3, -219, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 202\/5. Sort k, 6, 2\/329 in increasing order.\nAnswer: 2\/329, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380620, -761234, -1141846, -1522456?\nAnswer: -1903064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169432 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1185, 2430, 3677, 4926, 6177, 7430, 8685?\nAnswer: 9942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c - 4. Let m be 2*-2 - -2 - 2. Does 8 divide l(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.0373 - 0.0373. Let q be 16\/(-152) + 736\/(-228). Which is the second biggest value? (a) w (b) q (c) -10 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p**4 - 8*p**4 + 7*p**4)*(-p + 0*p - 2*p) + 3*p**5 - 2*p**5 - 2*p + p**5.\nAnswer: 29*p**5 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.59 and -1.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20852849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*1)\/sqrt(7) - (sqrt(637) + 1).\nAnswer: -6*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-819)\/65 + 8 + 5. Let w be (-3)\/(-12)*120\/10. Which is the nearest to w? (a) -0.05 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62774755 times -5\nAnswer: -313873775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*q + 90, -26*a + 24*a + 4*q = 180. Which is smaller: -95 or a?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3124735391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 11:48 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -9 - 9*x + 29\/2*x**2. Calculate the remainder when w(3) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-234)\/12)*9\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 388821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55 and 0.2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.052 smaller than -140475\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -165 - -233. Let n = -32517 - -32517.3. Sort 3, c, n, -5.\nAnswer: -5, n, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2046 and 162657?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4889827 to the power of 1\/2, to the nearest integer?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfx when three letters picked without replacement from {n: 2, l: 2, m: 1, p: 13, x: 1, f: 1}.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 13*z**2 - z + 13. Let k be c(13). Suppose k*g - 3*g = -39. Calculate the remainder when 51 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 14*a**2 + a + 8. Let s be o(13). What is the greatest common factor of 50 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2089, -2\/13, -14 in decreasing order.\nAnswer: 2\/2089, -2\/13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 + 26167*l**2\/4 + 26164*l + 26163.\nAnswer: (l + 2)**2*(l + 26163)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 3281.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8347365*i - 91085886 wrt i.\nAnswer: 8347365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {e: 3, v: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1880a24 (base 11) to base 9.\nAnswer: 5873761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 11 = -5*i + 14, 74*i - 20*i - 11 = 3*u + 56*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/347)\/(8\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 10 = -4*i, 7*i - 2*i + 2*u - 16 = 0. Calculate the smallest common multiple of (-2)\/3*-3 + (-44)\/(-2) and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 25\/(-4 - (-6 - (-5181)\/2591)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322 (base 7) to base 13.\nAnswer: -c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 99*d + 5686. List the prime factors of s(115).\nAnswer: 43, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281206 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5195, -5172, -5115, -5006, -4827, -4560, -4187, -3690?\n\"Answer: 3*p**3 - p**2 + 5*p - 5202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-56))\/(2\/8) - (10 + -15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -116*d**3 + 8*d**2 + 8*d + 6. Let h(c) = 39*c**3 - 3*c**2 - 3*c - 2. What is -8*h(q) - 3*o(q)?\nAnswer: 36*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 4*v - 2. Let u(x) = x**2 + 5*x - 2. Let i(h) = -3*q(h) + 2*u(h). Let n be i(0). Factor 6*a**3 - 4*a**5 - a**5 - n*a - a + 2*a**5.\nAnswer: -3*a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f. Let i(u) = -35*u**3 - 2*u**2 + 6*u - 4. Calculate -2*g(x) + i(x).\nAnswer: -35*x**3 - 2*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + h. Let g be o(3). Suppose -4*a = -3*a - g. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, v: 8}. What is prob of picking 4 v?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 257 + -149. Suppose 11*q = 2*q + d. Are q and 14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z + 45. Let l be d(7). Which is the closest to -0.1? (a) l (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*104 - (3 + -8 + 3). Suppose 7*k - f + 56 = 0. What is the remainder when 26 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 11:56 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34078344 is divided by 7113.\nAnswer: 7074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b = 2*z - 32, -4*b - 3*z = -118. Suppose 14 = -6*p - b. Let c(f) = -5*f**2 - f**3 + 0*f**2 - f**2 + 9*f + 13 - 3. Determine c(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h = -4*z - 6, 5*z = 5. Suppose -b + h*b = c + 11, 2*b + 2*c = 30. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-2)*(-21)\/(-35))\/((-543)\/905)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 16842821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40.8 - -40.9. Sort -10, -1\/14, s in decreasing order.\nAnswer: s, -1\/14, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-32))\/((t*t\/t**20*t)\/t))**(-29\/4) assuming t is positive.\nAnswer: t**(-1479\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -34346680 to the nearest one million.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19049*-0.1723.\nAnswer: 0.032821427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 580*n + 692*n - 20*n**2 - 1311*n. Let f(u) = 39*u**2 + 77*u. Let g = 3 - 0. Let r(x) = g*f(x) + 5*v(x). Find the second derivative of r(h) wrt h.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2034839 from 898.\nAnswer: -2033941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 164 - 278. Let t be (11\/4 - 2)*(-304)\/m. Solve 3*l = t*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnphphw. Give prob of sequence pb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440*f**2\/13 - 60422*f\/13 + 119084\/13 = 0. Calculate f.\nAnswer: 2, 29771\/220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36334752 to the power of 1\/2, to the nearest integer?\nAnswer: 6028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + a + 4*a - 17, 2*p - 2*a = -6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 5. Let j be (-2 + g\/(-8))*-204. What is the greatest common factor of 51 and j?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2701489062 take away -3?\nAnswer: -2701489059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 254 - 4*p - 254. Let j(z) = -3*z**2. What is j(b(o))?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5107293101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, j: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -22619?\nAnswer: -22619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1339*j**2 + 11*j + 5. Let c(p) = -268*p**2 - 2*p - 1. Let h(v) = -11*c(v) - 2*l(v). Is h(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/3 + 68*c\/3 + 80.\nAnswer: 4*(c + 5)*(c + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 14. What is the remainder when 13 is divided by x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1884*q = 3620*q + 80591 + 12977 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -27521.\nAnswer: -10\/27521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 51*q + 511. Let o be k(-10). Which is smaller: o or -397?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95077204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = d. Suppose 22 = 5*q + 3*r - 51, -q + 2*r = -d. Suppose 4*w - 84 = -9*s + 6*s, 5*w = s + 124. Calculate the remainder when w is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4780 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35140?\nAnswer: 2, 5, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 + -147. What is the least common multiple of l and 1*(-2 + 5)\/1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**7\/840 + 961*r**6\/480 - 115679*r**5\/120 + 2380*r**4 + 19200*r**3 + 1196*r**2 - 4*r. Determine a, given that u(a) = 0.\nAnswer: -1, 2, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/4 + 3\/4. Let d be (4 + -3 + 0)*0. Suppose -f = 3*h - 12, d*f - 5*h + 20 = -f. Which is greater: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 540.08 + -540.0725701. Round d to 4 decimal places.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356857, 1427469, 3211823, 5709919?\nAnswer: 8921757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-6\/5)\/d*d)\/d**4)\/(d**(-8)\/(d*d**(5\/3))) assuming d is positive.\nAnswer: d**(97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 7*g**2 - 2*g - 40.\nAnswer: -(g - 5)*(g - 4)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 763 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y + 0*y + (-2 - 4 + 5)*(9*y - 16*y + 3*y) + 0 + 0 - y)*(0*y - 3*y + 7*y).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-5)\/(-2) - (-11168)\/64. Let o be ((-2)\/(-4))\/(2\/44). Calculate the highest common factor of o and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000048113 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 13 = 3 - 58 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 10) + 17 + -17 + 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176 + -70. Let i be ((-76)\/5)\/((-10)\/25). Let f = m + i. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(92\/69)\/(2\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -274 + 277. Let h be ((-11)\/g)\/(8\/(-10 + 18)). Which is the nearest to 1? (a) 2\/5 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/(-44) - ((-167)\/(-2) + -2). Let b = 88 + a. Solve -3*v - b = -0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -o - 23*x - 20, -8 = 2*o + 4*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/5)\/l)\/(l\/(l*l*l**(-2\/9)\/l)*l))**(-6\/7)\/((l\/(l**(-2\/11)\/l*l))\/l**(-1\/4)*(l*l**(-5)*l*l*l)\/(l*l*l*((l\/(l\/l**4))\/l)\/l)) assuming l is positive.\nAnswer: l**(27529\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 239 or 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -12928 at most -12928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 650*j - 12202. Give d(-18).\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-115202)\/(-348)*(-81)\/(-18963). Let m = -1\/4214 + v. Find the common denominator of m and 38\/5.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 8*h + h)*(h**2 + h**2 - h**2) - 146*h**2 + 11*h**3 + 146*h**2.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-598)\/(-8))\/((-4)\/(-16)). Let i = 2101 + -2313. Let d = i + h. Is d a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 15*m**2 - 29*m - 8. Let c be l(12). What is the greatest common factor of 95 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*u - 2*u - 5*u)*(6*u - 4*u - 9*u) + 0*u**2 + 0*u**2 + 2*u**2)*(u + 3*u - 2*u).\nAnswer: 46*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - 6. Let k = -300976283 + 300976301.0000097. Let o = f + k. What is o rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 8:58 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 (base 15) in base 16?\nAnswer: 48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*(-1)\/21*3. Which is the closest to l? (a) 2\/3 (b) 0 (c) -0.3 (d) -10\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 9*c**2 + 9*c - 6. Calculate t(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*v*y**2 + 52*v*y + 2*v + 81*y**2 - 2*y - 3 wrt v?\nAnswer: -19*y**2 + 52*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.1795\nAnswer: -0.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -11. Suppose -2 = s - j, -o*s - 5*j + 13 = -21. Suppose -2*c + 45 = -5*a, -s*c = 5*a + 17 - 47. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 721, 71.\nAnswer: 3, 71, 721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 56 - (-103 - -92 - (0 - 0))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-80) + (-27)\/(-85) - 3556\/1904.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-4) + (-46)\/24?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 62*m**2 + 946*m + 36. Give o(-27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -267041.649 to the nearest one hundred.\nAnswer: -267000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -15. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 - 47. What is the remainder when g\/(-2)*(-36)\/21 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 80*k**4 - 7*k**3 - 29*k + 7. Let g(d) = 27*d**4 - 2*d**3 - 10*d + 2. Let s(f) = -7*g(f) + 2*w(f). Find the second derivative of s(c) wrt c.\nAnswer: -348*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13*h. Let a(q) be the third derivative of 3*q**5\/10 + 208*q**2. What is g(a(t))?\nAnswer: -234*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 23. Let q be s(20). Suppose q*m = g + 290, 7*m = 5*m - 5*g + 165. Calculate the remainder when m is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 29 - 35. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 46055\nAnswer: -1\/9211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 8 - 40)*(4*u + 1 - 1).\nAnswer: -252*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -13 - (0 + 4 + -8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 3, 4, 52204 in increasing order.\nAnswer: -7, -2, 3, 4, 52204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/88892268 and 3\/2.\nAnswer: 88892268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(720) - (sqrt(720) - sqrt(720)*3)) - (-4 + sqrt(720) + sqrt(720) + -2)**2)*1*-1 + -5.\nAnswer: -216*sqrt(5) + 2911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -43.34, 2\/7, 1, -3 in increasing order.\nAnswer: -43.34, -3, 2\/7, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 44457?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2*sqrt(4455) + sqrt(4455) - sqrt(4455))\/sqrt(5) - ((2 + sqrt(11) + sqrt(275) + sqrt(11))**2 - ((sqrt(44)\/sqrt(4))**2 + -4 - sqrt(11)))).\nAnswer: -536 - 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1, -3\/152, -1, 2\/5, 0.\nAnswer: -1, -3\/152, 0, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/5 (b) -126 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**3 + 4*n**2 - 5*n + 3. Let w be (2\/3)\/(2\/(-18)). Let i = w - -9. Is d(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62860334?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -10619292\nAnswer: -1\/2654823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71520570.\nAnswer: 2, 3, 5, 11, 23, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 11*u**3 - 12*u**3 - 26*u**3 + 26*u**3 - u**2 + u**2.\nAnswer: -u**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -5, -1\/2, 7 in decreasing order.\nAnswer: 7, 3\/4, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i**2 - 15*i**2 + 55 + 6*i + 5*i**2. Let x be d(7). What is the nearest to x in -1.4, 2, 0.1?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 + 83. Suppose -4*m = 4*l + 4, -4*m - 2*l + l = -11. Suppose -m*q + 2*q = -r. Calculate the highest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -135*(70\/(-25) - -2). Suppose 21 - 23 = -x, 5*x = -2*c + u. What is the remainder when c is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -17712000*(1\/(-3))\/((-2)\/(-50)). What is v rounded to the nearest one million?\nAnswer: 148000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46787 is divided by 225?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5030610701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3170 + -37997\/12. Let f = 23\/6 - s. Let w be ((-5)\/(-20))\/(182\/(-16) + 4). Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 - 196*q**2\/3 - 8320*q\/3 + 43264.\nAnswer: -(q - 12)*(q + 104)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5904 + 5899. Let u be 2 - ((-5)\/(-3) - 0). Put u, -1\/2, -0.6, d in descending order.\nAnswer: u, -1\/2, -0.6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*y = 0, -2*y = -4*b - 5*y - 6. Sort 6, 2, b, 0 in ascending order.\nAnswer: b, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 393322600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-572)\/(-65)) + -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/2 - (-2 + 3). Suppose -2*r + c*s = 2*r - 82, -2*r = -2*s - 40. Calculate the greatest common divisor of r and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4388350025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d - d + 2*d + 0*d - d + 2*d + (2*d - 2 + 2)*(0 + 1 + 0))*(-22 + 6 - 30)*(2 - 4 + 4)*(-3 + 1 + 4) to u*d + j and give u.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/130236 and -101\/4552.\nAnswer: 148208568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010376 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 10 = u - 4*b, -5*b = -5*u + 30. Suppose -u*r = -15 - 115. What is the greatest common divisor of 26 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*a = 2*w + 2, 2*w - 4 = -3*a. Solve w*j + 8 = 4*h, -2*h + 11 = h + j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-4)\/(-3))*(-4)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 318 = -5*n, -25*n - 3*y = -23*n - 129. Calculate the greatest common divisor of n and 1029.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - ((-3)\/2)\/((-8)\/(-64))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*t = 2529, w + t + 4*t - 1245 = 0. Let o = w + -696. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -152779 and -152789 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 53 = 151. Let j = m - 27. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**3 + 6*k**3 + 122*k**3.\nAnswer: 119*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 71098, 142196, 213294, 284392?\n\"Answer: 71098*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 6 + -3 - (132 - 123)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1735*p**2 + 2429*p - 7287. Let v(k) = k**2 + k - 3. Give 9*c(d) - 21861*v(d).\nAnswer: -6246*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) -0.422 (b) 0.1 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187175 by 342.\nAnswer: 187175\/342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**(8\/7)*y*y**(1\/15)\/y*(y*y**2*y)\/y**(-3\/8) assuming y is positive.\nAnswer: y**(4451\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 84 = 4*z. Suppose 2*x = x - 4*u - 17, -x + 5*u + z = 0. Let f(l) = x*l - 4 - l + 4. Let y(g) = -3*g. What is f(y(t))?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqeqeqeeqeq. Give prob of picking 2 e, 1 p, and 1 q.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.0643 + -9.064352337. What is d rounded to 6 dps?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367667?\nAnswer: 3, 7, 17, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 2*y**2 - 13\/6*y**3 + 0 + 5\/24*y**4 + 0*y. What is the units digit of n(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsllzzozllpszzpz. What is prob of picking 1 l and 1 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 5 = c. Is (-3)\/(12\/1028)*c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1119466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h - 4*v, 6*v + 4 = 7*v. Suppose -h*u - c = -2029, 3*u - 1231 = c - 5*c. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 12*x - x)*(0 + 0 - 2).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20525, 41114, 61713, 82334, 102989?\nAnswer: 123690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 20*u + 32. Let v(n) = 7*n**2. What is v(x(m))?\nAnswer: 2800*m**2 + 8960*m + 7168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -18 - -19 - (-6 - (-95 - 14))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -10*b - 14189. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in -0.21, -0.1, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 4*u + 0*u)*((-4 + 1 + 6)*(-u + 23*u + 19*u) + (0*u + 2*u - u)*(-1 + 2 - 3)) to o*u + r + n*u**2 and give n.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23569800 by -40.\nAnswer: 589245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/30 and -49\/4524.\nAnswer: 22620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 125*v - 712. Determine h(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-302)\/(-4))\/((-1)\/(-2)).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -496137.33 - 0.036\nAnswer: -496137.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/420*400\/2240.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 18303*j**2 + 73200*j - 73196.\nAnswer: (j - 18299)*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14034 = 4*n + 2*b, 56*n - 3*b + 10521 = 59*n. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113576028.\nAnswer: 2, 3, 73, 317, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 17, 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*16\/40\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 57 + -1 + -6 + 448 + -460\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 140.3 and 2?\nAnswer: 280.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = 5*q - 16, -4*y + 3*q + 6 = 0. Suppose 57225542 = -y*w + 1511771. Let r = w + 10071257. What is r rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + -1 + sqrt(2) + 4.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.5, -12\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7236 and 100768.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0.1. Let z be 6\/4*12\/42. Which is the biggest value? (a) -0.2 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-1\/20))*o*o\/(o\/(o*o**(-5\/8)\/o)))**(4\/23) assuming o is positive.\nAnswer: o**(13\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*r**3 - 36*r*z**3 + 451*z**3 wrt r?\nAnswer: -27*r**2 - 36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from cnsyn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -15122.68022 to the nearest integer.\nAnswer: -15123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 12*j - j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/21*4\/(-1). Let w(f) = 2*f + 6. What is the smallest common multiple of 20 and w(n)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = -4*c + 106, c + 3*m = 34. Suppose h + 0*k - 3080 = -3*k, 5*k = -5*h + 15400. Is h\/c - (-3)\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 3*k**2 + k - 1. What is d(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 631 - 5231. What is the least common multiple of 13 and f\/90 + (-2)\/9 - -1?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-9)*-6*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16566, 16568, 16570, 16572?\n\"Answer: 2*v + 16564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 11*x**2 - 10*x + 5. Let y be q(10). Find the second derivative of 22*b + 47*b**5 - 104*b**5 + 123*b**y - 3*b wrt b.\nAnswer: 1320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**5\/15 + 13*w**3\/6 + 4959*w**2. Let i(k) = 11*k**2 - 2. Determine r(i(d)).\nAnswer: -484*d**4 + 176*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 2:32 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 288528?\nAnswer: 1\/36066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -22*s**2 + 2*s + 1. Give j(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5445 - 2662 + 17780 - 26*d. Is o(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 12 + -6 + -6 + (-12 - -9 - -34)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**8\/336 - d**4\/12 + d**3\/6 - 2*d. Let l(p) be the second derivative of n(p). What is the first derivative of l(c) wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 11*w**2 - 22*w + 18. Let t be m(-8). Suppose -10 = -4*v + 2*v, t*v + 138 = 4*o. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7049*x**3 - x + 57864 wrt x.\nAnswer: 42294*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*r**2 + 0*r**2 - 3*r**2 + r**3)*(1 + 2 + 3 + (-3 + 0 + 1)*(-5 - 1 + 4)).\nAnswer: 10*r**3 + 10*r**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 58160.\nAnswer: 523440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 12:14 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1039 + -250. List the prime factors of s.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 215*s - 24*s + 1696 + 787 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23728 - 3416809\/144. Calculate the common denominator of p and 65\/56.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5655 less than or equal to -5652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 - 10*i + 32. Let n be c(-15). Suppose l - n = -l. Factor 3*q**2 + q**2 - l*q**3 + 981*q**3 + 3*q**4 + 8*q.\nAnswer: q*(q - 2)**2*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133 + -95. Calculate the greatest common factor of 38 and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 8. Let i(s) = 9*s + 248. Let b(c) = a(c) - i(c). What is the first derivative of b(l) wrt l?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -155*x + 4*x**3 + 116*x + 44*x. Let b(i) = -3*i**3 - i**2 - 4*i. Calculate 3*b(f) + 2*s(f).\nAnswer: -f**3 - 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167 - 98. Does 23 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 12 = 3*v. Suppose -v*p = -m + 12 + 11, 5*m + 5*p - 215 = 0. What is the least common multiple of 14 and (-3)\/(-15) + m\/5?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 18. Suppose j - 3*j = -q + 8, 3*q + 3*j = -p. Suppose q = -3*s + 70 + 203. What is the remainder when s is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.08 (b) -0.14 (c) -1.5 (d) 0.1223\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 7*k - 20. Let o(h) = 301*h + 12*h**3 - 150*h - 4*h**3 - 159*h. Let f(v) = 12*v**3 - 12*v. Let d(y) = k*f(y) - 8*o(y). Factor d(i).\nAnswer: -4*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (7 - 17 - -12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*m, -13 = -4*a - a - 3*m. Suppose 3*x + f = 11, -5*x + 2*x - a*f + 19 = 0. Solve 5*z = x - 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - n - 12, -f = 4*n - 3. Suppose 2*z + 45 = f*z. Calculate the remainder when z is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from {d: 2, z: 3, x: 2, m: 2, s: 2, f: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 53, 1\/9, 1 in increasing order.\nAnswer: -0.2, 1\/9, 1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**3 + 24*m**2 + 4*m + 7. Let y(w) = -40*w**3 - 204*w**2 - 33*w - 56. What is 17*c(a) + 2*y(a)?\nAnswer: 5*a**3 + 2*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -240 - -742. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7148 = -4*h, -3*h + 1807 = v - 0*h. Suppose -16*z = -0*z - v. What is the remainder when z is divided by 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 - 5*u - 9. Give x(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -59, 12 in decreasing order.\nAnswer: 12, 4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, m: 2, p: 1}. What is prob of sequence pmm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 + 1 = 0. Calculate the remainder when y\/2*17\/(-2) is divided by 16\/3*756\/672.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1168, 9701, 32962, 78319, 153140, 264793, 420646?\nAnswer: 628067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-13)*b)\/b*b)\/(b\/(b*b\/(b**(-11)*b))))\/((b**(-20)\/b)\/b**(-2\/3)))**25 assuming b is positive.\nAnswer: b**(1525\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1524472*h**2*k**4 - 2*h**2*k - 36*h**2 - h*k**5 + 19*h*k + 2*k**2 + 435 wrt k.\nAnswer: -36587328*h**2*k - 60*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, -0.4, 4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -7\/5. Sort z, -4, 5 in descending order.\nAnswer: 5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 748, 2819, 6178, 10819, 16736, 23923, 32374, 42083?\n\"Answer: -d**3 + 650*d**2 + 128*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 26, -6, 1, -7651?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15338, 30681, 46026, 61373, 76722, 92073?\n\"Answer: j**2 + 15340*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(132) - ((sqrt(132) + sqrt(132)*1)*-4 + sqrt(132))))\/((sqrt(300) - sqrt(300)*5 - sqrt(300))*-3) + 2)**2 + 2.\nAnswer: 128*sqrt(11)\/75 + 45014\/5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.039 (c) 0 (d) -2\/19 (e) -1\/7 (f) 1 (g) 1411\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, 0.06, 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, q: 7, y: 2, g: 1, i: 2}. What is prob of sequence qpp?\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdqdgpvdqnvvnqdqndd. What is prob of picking 1 g, 2 d, and 1 v?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 4*g**2 + 5*g. Let k be z(5). Suppose 5*q = 3*c + 134, 0 = 6*c - 4*c - 5*q + 86. Let w be c\/(-27) + (-2)\/(-9). Solve k*o = -w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155\/22 + 6575\/902. Is 1 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a - 4. Let p(b) = -14*b - 2. Let g(j) = 4*p(j) - 5*x(j). Let y be g(-3). Solve -m = 2*f - 3, -4*f - 3*m - 2 + 3 = y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 = -3. Let a(x) = x + 11*x**2 + 0*x**z - 11*x - x**3. Let s be a(7). What is the greatest common factor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 1008.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116927607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*f**3 + 808*f**2 - 320*f.\nAnswer: -4*f*(f - 40)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/13 (b) -4 (c) -607 (d) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28878, -28956, -29090, -29280?\n\"Answer: -28*b**2 + 6*b - 28856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**4\/3 - 16*x**3\/3 + 40*x**2 + 400*x\/3 - 500\/3 = 0 for x.\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -42. Let k be (4\/t)\/((-4)\/270). Let g be (k\/(-18))\/((-1)\/2). Solve -5*i - 5 = -p, 0 = g*i + 2*p - 4 - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.27 + -0.07. Let b be 3 + 1 + (-15)\/4. Let n = -0.2 - -0.22. What is the nearest to n in b, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 3. Let u be -21*(-5)\/15*-3. Let z be u\/4 + 6\/24. Calculate the lowest common multiple of 18 and l(z).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -35. Is -25 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13691 is divided by 907.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -4 + 0 + (-117897)\/(-6 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 110 = d. Suppose 4*v - 5*v = -d. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/26 + -4 + 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80826.\nAnswer: 2, 3, 19, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**5)**36 assuming i is positive.\nAnswer: i**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 44. Suppose q + 6 - 10 = -2*t, -4*q + r*t + 3 = 0. Solve -2*w = -3*w - q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, 0.3, 0.2, -1\/4.\nAnswer: -1\/4, 0.2, 0.3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9300208 milligrams in micrograms?\nAnswer: 930.0208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209 - -221.1. Let h = -14 + z. Let s = 0.1 - h. Which is the second biggest value? (a) -0.2 (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 6\/5, -3\/158, -3\/4, 0.1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1410\/75)\/(1608\/1340)?\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4*z = 7, -41*u + 2*z = -45*u - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1384 divided by 692.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 191301*j**3 - 8*j**2 + 7*j. Let s be i(1). What is s rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917 + -1909 - (-1 + 33 - (3 + -5)) - 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 28*w + 156. Let g be t(-20). Let l(z) = -z + 2. Let m(y) = y - 1. Let j(s) = -5*l(s) - 6*m(s). Let h be j(g). Which is greater: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*f + 5*h, 4*f = -3*h - 33 + 104. Suppose -c + 5*d + 1 + 22 = 0, 5*c + 5*d = -5. Calculate the remainder when f is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 41076*f**2 + 5*f - 11. Let j be q(-4). Suppose -1203115 = -13*o + j. Round o to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 5 + 11 + a**2 - 5*a**2 to the form v*a**2 + k*a + f and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205 - 202. Let s(m) be the second derivative of m**2 + 0*m**4 + 0*m**y + 1\/10*m**6 + 3*m + 0*m**5 + 0. Differentiate s(u) wrt u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 367?\nAnswer: -22.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -16. Let y(t) = -t**3 - 4*t**2 - 3*t + 3. Let d be y(-3). Let u be (d - (-22)\/(-6)) + (-3 - -3). Is n greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242112033 (base 5) in base 4?\nAnswer: -10103220322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -1224*t + 12615. Determine g(11).\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2793 + 3*p**3 + 2*p**3 - 2793 - 15*p**2.\nAnswer: 5*p**2*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3894.841ml to litres.\nAnswer: 3.894841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 at most 221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 95342682 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k. Suppose -1 + 10 = -3*x. Let o be g(x). Solve -15 = o*l - l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 814 - 3*g + 1584 - 257.\nAnswer: -3*g + 2141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 - 5*i**3 - 7*i**3 - i**3 + 4.\nAnswer: -6*i**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 39*m + 52*m = 38, -u = -3*m + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 3 - (26 - 19)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 + 12270*s\/7 + 664564.\nAnswer: 2*(s + 406)*(s + 5729)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**3 - 3*u + 2. Let x be r(1). Suppose -2*c + 5*g = -10, 3*c - x*g = -c + 20. Solve 20 - c = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 254605.44ns?\nAnswer: 0.000004243424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 972941.1516 rounded to the nearest ten?\nAnswer: 972940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(104\/(-572))\/(816\/(-66)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3390801 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 1. Suppose -5*i - 13 + 33 = 0. Suppose i*z = b - 20, 2*z = 5*z + 15. Determine k(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4912469 to the power of 1\/2, to the nearest integer?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -29. Which is the second smallest value? (a) -4 (b) -3 (c) 4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294292 times -4?\nAnswer: 1177168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*q - 9. What is the nearest to -1 in 0.2, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183272 and 6?\nAnswer: 549816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5\/5 - 13*k**4\/5 - 54*k**3\/5 - 62*k**2\/5 + 11*k + 15 = 0.\nAnswer: -5, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -5. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 3*y + 4. Let a(j) = -2*j - 3. Let v(q) = -q + 4. Let l be v(7). Let b(m) = l*k(m) - 4*a(m). Find the second derivative of b(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3465 divided by -6685?\nAnswer: 99\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11361 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 12) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 1696*s + 280926. Determine c(226).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 27*s**2 + 3*s - 2. Give l(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1)*b**(-2))\/((b**3*b)\/(b\/(b*b\/(b\/(b\/b**3))*b*b*b)*b))*(b**0)**(-24)\/(b**(-1)*b**(2\/3)*b) assuming b is positive.\nAnswer: b**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 3:37 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -669 - -472. Let h = c + 198.23. Let b = 0.23 - h. Put 1\/4, b, 0 in ascending order.\nAnswer: b, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -159280 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -226554 divided by -6\nAnswer: 37759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-3)\/(-2) - 1). What are the prime factors of -3*3\/9 + (-73)\/d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t**4 - 5*t**4 - t**2 + 0*t**4 + (-3*t**2 + 3*t**2 + 2*t**3)*(-3*t + 5*t - 4*t) - 3*t**4 - t**4 + 5*t**4.\nAnswer: -2*t**4 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r + 4. Let y be u(-2). Let j be ((-1)\/(-2))\/(5\/y). Is j less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 107*s**2 + 84*s - 3. Let r(q) = -54*q**2 - 42*q + 2. Let t(f) = 7*r(f) + 4*w(f). Find the second derivative of t(h) wrt h.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.45419 and 1846?\nAnswer: -838.43474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -37. Let b be ((-27)\/6)\/(v\/(-2)). Solve 2*u = -u + b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**3 - 8*i**2 + 8*i + 13. Give o(-3).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3 - 3)*(2 + 2 - 3)*(1 - 1 - 1 - 3*v).\nAnswer: 3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:11 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111010011 + 101110?\nAnswer: -10110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 3*h - 20. Is x(-10) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/2 + 7 + (-4 - -1). Put 1, 0, 3, -1, q in decreasing order.\nAnswer: 3, 1, 0, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (533 - 511 - (1 - -32)) + 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 735 and 10815?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 15*q**2 + 39 + 26*q + 18*q**2 - 17 - 6*q + 55*q. Let i(c) = 2*c**2 - 1. Let z(n) = g(n) - 4*i(n). Let z(l) = 0. Calculate l.\nAnswer: -13\/5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889650 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*l**3 + 11*l**2 + 351.\nAnswer: 36*l**2 + 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*m)*(2 - 5 + 1) + 0*m - m + 2*m)*(-2 + 6 + 3 + (-1 - 2 + 1)*(4 - 3 + 1) + (1 - 3 - 2)*(3 - 1 - 4) + (-4 - 4 + 6)*(-2 + 1 + 2)).\nAnswer: -27*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126135669 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Let u = f + 3. Let m = 179\/3 - 61. What is the second biggest value in -1, u, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 27*h + 18. Suppose -o - z + 9 = 0, -5*o - z + 6*z - 5 = 0. List the prime factors of b(o).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 339956782.4000167 - 339956810. Let s = -70.6 + 43. Let y = d - s. Round y to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291980 is divided by 999?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6216.712 nanograms?\nAnswer: 0.006216712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 15*m**3 - 266*m**2 - 73*m + 39. Calculate c(18).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-2\/13))**(-19)\/((k\/(k\/(k**26\/k)))\/(k\/(k\/(k**(-21)*k)))) assuming k is positive.\nAnswer: k**(-1117\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -58+323\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 119\/(-2) - 24\/16. Let q(m) = 3*m + 1. Let l be q(-1). What is the units digit of u\/(-7) - l\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22506 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 1 + 2)*(3 - 2 + 1) + 3 + 3 - 7)*(18*l**3 - 30*l**3 + 8*l**3) in the form j*l**2 + t + w*l**3 + k*l and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -26) + (-5 - 1) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 3) + (34 - (-5 + 12 + -23))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.1452, 18, -15 in descending order.\nAnswer: 18, 2, 0.1452, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/(2\/(-36)). Suppose -360 = 7*l - y*l. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2745097607601 take away 0.3?\nAnswer: 2745097607600.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -21 + 18 + (-6 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 841.01 nanograms in tonnes?\nAnswer: 0.00000000000084101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2877 divided by 3\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*f + 353 - 423 + 222 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23073052 and 51914367?\nAnswer: 207657468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttoooo. What is prob of sequence ooot?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*n = -474*n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:36 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-798)\/(-154) + (-1 - 18\/(-22))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4617))\/(sqrt(432)*3).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/390668985 and -32\/55809855.\nAnswer: 390668985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**3 + 4*o**2*s - 28621*o**2 + 55*o*s - o + 2*s - 13 wrt o.\nAnswer: 18*o + 8*s - 57242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 - 3*n**4 + 3*n**4 + (-117*n + 1264*n + 116*n)*(2*n**2 - n**3 - 2*n**2) to u*n**4 + w*n**2 + g*n**3 + q*n + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-32)\/(-30))*(-96)\/(-600)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from qqqvziiqbiqkbkiviqb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 16*y - 17. Let k(t) = 8*t - 8. Let f be (15\/(-4))\/((-18)\/24). Let w(d) = f*k(d) - 2*j(d). What is the first derivative of w(u) wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*f**2 + 0*f - 61*f**2 - f + f.\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -271, 0.1, -6901\/36?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1222 - 1222.00511. What is r rounded to four decimal places?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 33, 1\/2, -1, 3\/14, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/21 - -1\/21. Factor -4\/7*k + 6\/7*k**2 + 0 - s*k**3.\nAnswer: -2*k*(k - 2)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*w + 3*l - 5, 6 = -5*w - 4*l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 4*v**2 - 35*v - 24. Let d be w(-8). Let c be 130\/54 - 2\/1. Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693 - 4*c**2 - 107 + 80*c + 2*c**2 = 0. Calculate c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*o = 28, g + 7 = -2*o + 19. Suppose t = -5*i - 0 - 15, i = -4*t + 16. Suppose -t*m = -g*w - 0*w + 31, w - 4*m = 16. Solve 2*p + 0 = -w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6822662, 6822663, 6822664, 6822665, 6822666?\nAnswer: 6822667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*x + 7 - 7 to m + h*x and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.10536*82.421\nAnswer: 8.68387656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 12*a - 28 = n - 16, -4*n = 15*a - 0*n - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -186, 2\/11, 2\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2494, -5014, -7534, -10054, -12574, -15094?\n\"Answer: -2520*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1009 + 3161 = 15*d. Calculate the remainder when 281 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 18\/5*t + 3 - 6\/5*t**2 + 2\/15*t**3. Factor l(h).\nAnswer: 2*(h - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l = -189. Let k be -5 - (-12)\/10*10\/(-4). Let i be (-6 - k)*7\/2. Calculate the greatest common factor of l and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 7*q = -8*q - 18, -4 = k + 4*q. Calculate the remainder when 1 + (18 - k) + (-6)\/(-2) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -32*y**2. Let n(g) = 4625*g**2 + 10*g + 6. Give n(z(u)).\nAnswer: 4736000*u**4 - 320*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 17036, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 equal to 410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10069*f - 166167 - 134591 - 359064 = -55682 for f.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -103372257 - -3?\nAnswer: -103372254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -8\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1526 + 3061 + 11*f**2 - 9*f**2 - 1535.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167195*s + 83617*s - 136917*s.\nAnswer: -220495*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -77*b**3 + 3*b**2 + 8*b + 6. What are the prime factors of k(-3)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 9, 3 in decreasing order.\nAnswer: 9, 3, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67373, 134715, 202057, 269399, 336741?\nAnswer: 404083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41304 and 25?\nAnswer: 1032600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 19*n + 41. Is 3 a factor of z(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.909 - -0.091. Which is the biggest value? (a) r (b) 1\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwpwpppwpwwwpppppw. What is prob of picking 1 w and 1 p?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 1187.74212.\nAnswer: 1187.94212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + -0.02. What is the biggest value in 3, m, -0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 14*r**2 + 22*r - 27. Let c be f(-16). Suppose 10*j = 15*j - c. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 553163704 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -11 (c) -0.1 (d) 6 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-9) - (-4)\/6. Let y be (p\/4 + 2)*-13814. Let i = y - -98535. Round i to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21677074.1 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 4*a + 22 = -12*d, 5*d = 3*a + 156. Calculate the highest common factor of 1515 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n**2 - 98715*n + 28206 = 0. What is n?\nAnswer: -4701, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -328a (base 11) in base 2?\nAnswer: -1000011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*x + 3715 = -5*t, -4*x - 139*t + 143*t - 88 = 0 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 9*c - 167. Let g(d) be the second derivative of -d**3\/6 + 2*d**2 - d. Let w(t) = t + 1. Let z(a) = g(a) + 3*w(a). Determine z(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*154.1.\nAnswer: -77.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*z**3 - 4*z - 3805 - 4*z + 6*z + 65*z**3.\nAnswer: -96*z**3 - 2*z - 3805","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 4, i: 1, a: 3, p: 1}. Give prob of picking 2 k and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -132?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -356 - -29. Let s = c + 324. What is the third biggest value in -1, 10, 4, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-56)*(-18)\/(-3). Let o be 6 - ((-2)\/(-2) - -2). Let f be (4 - (1 + o))\/1. Is b less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3040 and 94088.\nAnswer: 1881760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-30)\/90?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 239*b - 500*b + 261*b + 6*b**2 - b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 23*r - 42. Let c be a(21). Suppose c = -3*s + 38 + 10. Suppose -5 = -l + s. Calculate the least common multiple of 33 and l.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**3 - 856*h**2 + 18293*h - 81. Calculate f(25).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:35 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 46*n**2 + 2*n + 13 + 47*n**2 - 1099 in the form o*n**2 + s + x*n and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 4*r + 53. Let g(l) = 3*l + 53. Give -3*d(z) + 4*g(z).\nAnswer: -3*z**2 + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**2 + 2983*v - 167743. Determine x(51).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 130 = -3*d - 392, 4*d - 4 = 0. What is the remainder when z is divided by 62 + (-36)\/8*(-4)\/(-6)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 9*q - 17. Suppose -3*y = -5*x - 44, 12 = y - 0*x - x. Suppose 0 = -3*c - y - 25. Let d be s(c). Sort -2, d, -17.\nAnswer: -17, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 8\/11, 2\/99, 2\/1903?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/4 - 19192*d**2 + 153539*d\/4 - 38385\/2.\nAnswer: -(d - 1)**2*(d + 76770)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2273079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {z: 2, w: 1, b: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**3\/6 - 2*r. Let o(m) = -m - 3. Let q(s) = -3*h(s) + o(s). What is the first derivative of q(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1. Let s(w) = 4*w - 2. Let x(q) = -20*g(q) + 4*s(q). Is 14 a factor of x(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32220332 (base 4) to base 9\nAnswer: 101228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4777969417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1818\/(-808))\/((3 - 5)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -360 + 205?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Suppose -4*n = -m*n. Let t(v) = -v**3 + 4*v**2 + 5*v + 5. Let l be t(5). Solve l*g - 10 - 15 = n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -7*y + 12*y. Let j = -1 + 3. Find the first derivative of -j*h**4 - h**4 + y*h**4 + 3 wrt h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 664*k + 2513*k + 3877*k + 2543*k to the form y + l*k and give l.\nAnswer: 9597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369892 is divided by 4742.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**3 + 9*t**2 + 12*t - 28. Give w(5).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 41, 52, 67, 86?\n\"Answer: 2*q**2 + q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -21117 at least -17529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 98502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13.6*-0.08\nAnswer: 1.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52838226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p*w**2 - 486*p*w + 15*w**2 + 17*w with respect to p.\nAnswer: 3*w**2 - 486*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*o + 19*o. Suppose -2*c - 2*u + 308 + 48 = o, 0 = -3*c + 2*u + 549. Does 39 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -1, 1, -818 in increasing order.\nAnswer: -818, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by 4807140?\nAnswer: -1\/123260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4619*p - 4638*p = -2033. Is p >= 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 10*g**2 - 2*g - 13. Let k be a(-10). Suppose k*f - 4*f = 102. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 21\/8 + (-1414)\/(-16). Suppose -f - 3*f = -a. Let k(l) = l**3 - 22*l**2 + l - 18. Let p be k(f). Solve -19 = p*u + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**24*h**(-19\/2)*h)\/(h**26\/(h\/(h**(14\/5)*h))) assuming h is positive.\nAnswer: h**(-133\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -26, -125 in decreasing order.\nAnswer: 5, -1, -26, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 212, 225, 240?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16273607*h**3 + 34086317 wrt h.\nAnswer: 48820821*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 = 3*i - 387. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -2*d**4 + 3 + 3*d - 3*d. Determine f(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*z**2 + 14*z + 4 wrt z.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -883\/5 + 916\/5. Calculate the common denominator of j and 52\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -3 + 5)*2.\nAnswer: 4 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 - (-876)\/21. Let f = 0 - x. What are the prime factors of (-6)\/(-4)*(-224)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*z + 21 = 0, 2 = -2*d + 4*z + 20. Suppose -4*v = -q - 16, 0 = 2*v - d - 3. Let m = 4.9 - -0.1. Put q, 3, m in decreasing order.\nAnswer: m, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2620006 + 21?\nAnswer: 2620030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 386*t**2 - 802*t**2 - 739*t**2 - 497*t**2 - 584*t**2 to d*t + k*t**2 + w and give k.\nAnswer: -2236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + -1 + -1 + -1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1968 and 1312?\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.58765 to three dps.\nAnswer: 1.588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238152858.\nAnswer: 2, 3, 877, 45259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8405 - 2305 = -15*z. Is z a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzcczczzzzzzzc. Give prob of picking 2 c.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -110100?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65 or 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojoyjjjojqoyjjjjyo. Give prob of sequence oj.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -138, 4, 1 in descending order.\nAnswer: 4, 1, -5, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u. Let g(z) be the second derivative of -1\/6*z**4 + 0 + 0*z**2 + 0*z**3 - 4*z. Calculate g(k(a)).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29187 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -21937805\/51 greater than or equal to -430152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*2*4)\/((sqrt(567) - (sqrt(567)*-1 + sqrt(567)))*2).\nAnswer: -8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2098 times -611.1?\nAnswer: -1282087.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((-2)\/8 + (-22)\/8). Let v be -4 - (1 + f + -2). Is v greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -331222 * -3\nAnswer: 993666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h**4 + 617465*h**2 + 15040206*h.\nAnswer: 48*h**2 + 1234930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101202 - 333?\nAnswer: 100203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-6) + (-32)\/48. Suppose 0 = 3*l - u + 3*u - 51, 2*l = -4*u + 42. Suppose -3*x + l = 36. Sort x, -4, s in decreasing order.\nAnswer: s, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -87 + -11?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.1 (b) -1 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212800*a**2 - 462643*a**2 + 96328*a**2.\nAnswer: -579115*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 29*o**2 - 39*o - 270. Let x be a(-30). Factor -90*r + x*r**2 - 6*r**2 - 168 - 7*r**2 + 14*r**2 - 4*r**2.\nAnswer: -3*(r + 2)*(r + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 12*i - 52. Let n be -2*((-5 - -3) + 18\/4). What is the smallest common multiple of a(n) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34b - -1c3ac?\nAnswer: 1c061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 850 and 76959?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 10:52 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 + 397. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 82*a - 163. Determine m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t. Suppose 8*b + 411 = 8995. Let c(r) = -b*r + 527*r + 524*r. What is c(m(j))?\nAnswer: 110*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9))\/(7\/9)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -9\/2*r**3 + 1\/20*r**6 - 1\/14*r**7 - 25 + 1\/112*r**8 - 3\/8*r**4 - 2*r**2 + 0*r + 7\/10*r**5. Let v(q) = 0. What is q?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*f = -5*f + 101, -f = 4*o - 197. What is the least common multiple of 2 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(31\/5)*n*n*n*n\/n**(3\/23) assuming n is positive.\nAnswer: n**(1273\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -64172\/113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 - 36 = -7*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + p. Suppose 18 + 7 = 5*k, -4*k + 17 = c. Let l = c - -10. Let m be 4 - l\/((-28)\/(-8)). What is n(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 5. Let z(q) = 5*q. Let k be z(1). Put f, -6, k in descending order.\nAnswer: k, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**7\/980 + l**6\/1260 + l**5\/210 + l**3\/3 + 3*l**2. Let b(s) be the first derivative of v(s). Factor b(y).\nAnswer: -2*y*(y - 1)*(3*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -162 - 235 - g**4 + 5 - 10*g - 19*g**3 + 19*g**3 wrt g?\nAnswer: -4*g**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**4*z**2 + 2*a**4 + 45*a**3*z**3 - 76*a**2*z**3 + 3*a**2 wrt a?\nAnswer: -72*a*z**2 + 48*a + 270*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2565 and 1331805?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-40))\/(((-3)\/(-4))\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + r + 17 = 0, -i = -4*i + 4*r + 3. Suppose 0 = i*a - 3*a - 102. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17737160 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -54 - 75332693\nAnswer: -75332747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 8:37 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 35*x**2 - 67*x - 167. Determine m(37).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34, -107, -220, -367, -542, -739, -952?\n\"Answer: g**3 - 26*g**2 - 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229 + -227. What is the remainder when 127 is divided by -16*(s - 10 - -6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -83, 16, 143, 298, 481, 692?\n\"Answer: 14*u**2 + 57*u - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {h: 2, v: 1, b: 1, i: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148072181.\nAnswer: 148072181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1750*c + 1436. Let s be v(-2). Calculate the highest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003299768544 rounded to seven dps?\nAnswer: -0.0032998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - -45. Calculate the highest common factor of 22 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 4 = -13*h. Suppose -5*v = -4*j - 1726, 0*j = -4*v + h*j + 1384. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/387 and 31\/498112.\nAnswer: 4483008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 43 + 1 = 4*x - 100, -4*x = 43*y + 33 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7240 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3*(-3)\/63)\/((-8)\/168). Let t(r) be the third derivative of -23*r**2 + 0*r**4 - 1\/2*r**j + 0 + 0*r + 2\/3*r**5. Differentiate t(x) with respect to x.\nAnswer: 80*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 - 6168*g**3 + 85444*g**2 + 189408*g + 97792 = 0. Calculate g.\nAnswer: -1, 16, 1528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a day?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -390, -43, -4 in decreasing order.\nAnswer: 4, -4, -43, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -307775000 to the nearest 1000000.\nAnswer: -308000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxyym. What is prob of picking 3 j and 1 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -466*d - 3198. What is the remainder when 891 is divided by r(-7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6791b26 + -1?\nAnswer: -6791b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2246, -2270, -2316, -2390, -2498?\nAnswer: -2646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3800 (base 10) in base 2?\nAnswer: -111011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 + 4 - 2 - 16546*d + 16404*d.\nAnswer: -142*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3 = -5*n + 21 - 7, 32*a + 224 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*y = -276*y - 182. Suppose -4*j + 2*d = y, 21*d - 26*d = -25. Let h(o) = -o**3 - 5*o**2 - 5*o + 3. What is h(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let n(y) = 6*y**2 + 2*y + 2. Let b(z) = 5*f(z) + n(z). Suppose -27 = 9*l - 0. What is the tens digit of b(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0756 and -25.\nAnswer: -1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 873684 and 48.\nAnswer: 3494736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 16.8 and -419193 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4 - 2 + 37534*i.\nAnswer: 37534*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182.872 or 12.9?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -4)*5\/((-15)\/(-126)). Let o be h\/(-30) + (-2 - 12\/(-5)). Put 2, 4, o in increasing order.\nAnswer: o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**7\/1260 + k**6\/540 - k**5\/90 + 2*k**3\/3 + 1. Let z(v) be the third derivative of y(v). Factor z(h).\nAnswer: 2*h*(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 2*h - 28, d + 8 = -18*h + 17*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 9. Let p be f(-3). Suppose -p*x = -19*x + 76. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or -49?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*p - 12 = -316*p. Solve -3*l + 0*l = p*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 15*g + 74. Let w be o(-3). Suppose -16*v + 18*v = -3*m + 18, 5*m = -3*v + w. Suppose -4*a = -2*a. Sort -2, m, a in increasing order.\nAnswer: -2, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 714 = -16*d. Let i be d\/(-8) + 11\/((-264)\/(-18)). Let u(v) = 3*v**2 + 7*v - 1. Let c(y) = 2*y**2 + 6*y - 1. Determine i*u(q) - 7*c(q).\nAnswer: 4*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16056687 to the nearest integer?\nAnswer: 4007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86586077?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h = 42 + 12. Let m be h - -2 - 7*(4 + -6). Solve m*u - 25 = 19*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-5))\/4*3\/(-9).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770*p - 13 = -769*p + 3*j, 7 = -4*p + 3*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 110784727*f. Let r(y) = 5*y. What is g(r(a))?\nAnswer: 553923635*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3674)\/(-1002)*(-6)\/1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 687974\/3 and 229325 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3300*s + 3402. Let f be j(1). Suppose 2*p - 1275 = -3*p. Calculate the highest common divisor of f and p.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 14*j = 630. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1756 divided by 439.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(5\/2)\/(((x*x**(-1\/5))\/x)\/x*x))\/(x**(-1))**24)\/((x**1*x)**(-4\/41)*x**5*x*x**(-1\/3)) assuming x is positive.\nAnswer: x**(26111\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*u - 641 = -2041 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 592522 less than -0.017?\nAnswer: -592522.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**5\/20 - j**4\/12 + j**3\/6 - 2*j**2 - 18*j + 2. Let o be y(0). Put -2, 5, -1, o in decreasing order.\nAnswer: 5, -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -1)\/(95\/(-475)). Solve -y = 2*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrhrrh. Give prob of sequence rhhr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 348 - 319. Calculate the remainder when 114 is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45\/(-60)*(-16)\/6. Factor -20*r**2 + 4*r**3 - 301*r + 7*r**j + 877*r - 83*r**2.\nAnswer: 4*r*(r - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/24 and 125\/1734?\nAnswer: 6936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -62.2 * -11.38754\nAnswer: 708.304988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1))**(-17\/6)*(m*m**1)**(30\/13))\/((m*m**(5\/4)*m\/m**8)\/((m\/(m**(-1)*m))\/(m\/((m\/(m\/m**(-6)))\/m)))) assuming m is positive.\nAnswer: m**(123\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**3 - 2*w**2 + 6. Let o(d) = -d**2 - 2*d. Let g(l) = 5*o(l) - 2*u(l). Factor g(z).\nAnswer: z*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 2, t: 1, x: 1, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 15610?\nAnswer: -15612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2311475 times 5?\nAnswer: -1.1557375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246130.\nAnswer: 2, 3, 5, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(1 + 0 + -2). Let t(j) be the first derivative of 0*j - 1\/2*j**q - j**3 - 1\/2*j**4 + 2. Suppose t(m) = 0. What is m?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38061 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2855 and 1198529?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 2. Let p be b(0). Suppose -i + 5*r = 3*r + 6, r - 5 = i. Let v be (i + p - -6) + 5. What is the greatest common divisor of v and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12278269 to the nearest integer?\nAnswer: 3504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09182 + -259.720843.\nAnswer: -259.629023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -31. Let w = i - -17. Let g = w + -18. Is -1 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 2637 = j. Let y be 6*(-3)\/(-72)*4. Put y, j, -2 in decreasing order.\nAnswer: y, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + o + 42 = 0, 6*c - 3*c - 40 = 5*o. Solve -c*g + 6*g - 20 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3568848 from 0.05.\nAnswer: -3568847.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502982091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 14*b - 8. What is w(10)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 3*h = -2*k - 4, -4 = -4*k - 4*h. Let j(f) = f**2 + 7*f - 5. Let b be j(-7). Let z be -4 - ((-645)\/(-33))\/b. Is k at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -240*j + 242*j - 710. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156510530 (base 7) in base 3?\nAnswer: 202002100111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdddddqddqdb. What is prob of picking 1 b and 1 q?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 45*o**2 - 23*o - 17. Let a be u(-22). Suppose -a*y - 12 = 13, 0 = -5*s + 5*y + 2935. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (3 - 8 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 5:35 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5192341 centuries in millennia?\nAnswer: 0.05192341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 77 = -r. Suppose 6*h = 563 - r. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slpelbspelel. What is prob of sequence sl?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 350 and 53508.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*i + 14 + 1 = 0, 0 = i - 5. Suppose -5*z + 3*q + 4 = -n, 0 = 4*z + 2*q - 12. Suppose 3*b = z*r + 61, 2*b + r = 3*b - 21. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*x = l + 16, -5*l = -5*x + 45 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 8 + 252*k**2 + 250*k**2 - 498*k**2 - 3.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*o + 0*o - 6*o**3 - 7*o**3 + 14 + o - 36 wrt o?\nAnswer: -39*o**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**4\/4 - 7*u**3\/3 + 9*u - 3. Calculate the remainder when 16 is divided by p(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 101293 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 325272 by -3.\nAnswer: -108424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1053 + -1021. Let k(a) = 10*a**3 - 5*a**2 + 4*a + 7. Let q be k(5). What is the greatest common factor of n and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202.9+-7.3254265197\nAnswer: -210.2254265197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 11:43 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32776\/57 - -575. Let s be (-74)\/(-14) - (-4)\/(-14). Suppose -2*v + v = -4*q - 12, 15 = 2*v - s*q. Is f >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 3*x**2 - 6*x - 6. Calculate h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825058 is divided by 2044.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1666)\/140 - (-84)\/7.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 970447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 2\/3*f**3 - 2*f**2 - 6 + 2*f. Determine u so that k(u) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a60 - 813?\nAnswer: -1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13757070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r + 80. Let k be b(8). Solve -6*a + 8*a + 10 = k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 15 + (-2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 0 + 2*y + 0*y**3 - 1\/45*y**6 + 0*y**5 + 1\/18*y**4 + 0*y**2. Find l, given that o(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 33525*k - 14. Let t(a) = -a. Calculate t(b(v)).\nAnswer: -33525*v + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 41\/(-13) - (-3 + (-481)\/(-169))*1. Let i(x) = 2*x**3 - 14*x + 9. Determine i(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 370715.5 + -262\nAnswer: 370453.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**5\/60 - q**4\/6 - 5*q**3\/6 + 76*q**2. Let v be 1*(-4)\/16*0. Suppose 4 = 2*k - x + 1, v = k + x - 9. Calculate b(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 11385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 12*k**2 - 79*k - 896. Give s(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 3\/16*x**4 + 1\/12*x**3 - x**2 + x + 48. Factor a(v).\nAnswer: (v - 1)*(v + 2)*(3*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4 + 5)*(23700*a - 27976*a + 20700*a) to h*a + o and give h.\nAnswer: -32848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -5, 0.1, 0.3, 55, -6895, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (3 - 3) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1380500 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-17 + 6 - (-51 - (0 + -5))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5199797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*g**3*t - 6*g**2*h**3*t - g*h**3*t + 2*g*h*t + 6*g*h + 3*h**3 wrt g?\nAnswer: -150*g*t - 12*h**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88630 is divided by 559?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 - 37*p + 16. What is k(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -12*j**2. Let x be a(1). Let b = 15 + x. What are the prime factors of 240\/25*10\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3)\/t)**(-6\/11)\/(t**(-1)*t*(t\/t**(2\/3))\/t*t))\/((t**(-2\/7))**(-2\/51)\/(t**(-2)\/((t*t**(-2\/11))\/t))) assuming t is positive.\nAnswer: t**(-1641\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219156 = 14*b - 7*b. Suppose 11*w - b = -w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -96*q**2 - 1174*q - 285. Determine l(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-18))\/((50\/4)\/(-5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 590855325.9 from 0.18.\nAnswer: -590855325.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, -0.05, -0.17, 0.2.\nAnswer: -0.4, -0.17, -0.05, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 0.4, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 207*b + 9607. Give m(137).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {l: 1, g: 2, r: 1, f: 1, n: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m**2 + m**2 + 0*m**2)*(-3 - 1 + 5)*(-3 + 2 - 3)*(1 + 1 - 4 + (3 + 1 + 0)*(-5 + 4 + 3)) in the form i*m + t + r*m**2 and give r.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3091 - 1165518.77.\nAnswer: -1168609.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 52. Suppose o*v - v = -4*c + 13, 0 = 3*v - c - 8. Suppose -3*r + j - v*j + 933 = 0, j = -4*r + 1239. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -952 + 296. Let p = y + 656.0000563. What is p rounded to 6 dps?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 475843241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - o**2 + 18*o - 20. What is the hundreds digit of m(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 138826 and -0.30946.\nAnswer: 138825.69054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 2972*c**3 + 1110008*c**2 - 4377828*c - 5490810.\nAnswer: 2*(c - 741)**2*(c - 5)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 104? (a) -73 (b) 0 (c) -13 (d) -1 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 37540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 0.1 (c) -1.0841\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*t - 11 - 73, -4*w + 12 = 0. Calculate the greatest common factor of 92 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/18 - (-16)\/6. Let j = 1 + w. Let v(n) = n**2 - 6*n + 4. Calculate v(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 115 - 9. Let q = -851 - -852. Calculate the highest common divisor of u and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 185. Let y = 335 - n. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 121 - 3*n + 7 + 0*n.\nAnswer: -4*n - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29368700 divided by -5?\nAnswer: -5873740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986723747 to the power of 1\/3, to the nearest integer?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5*w - 11 = 0, -4*w + w + 13 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105239898 divided by 190998.\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -112241432 (base 5) to base 16\nAnswer: -7c440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 854*n**2 + 930*n**2 + 2756*n**2.\nAnswer: 4540*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -478, 826, -4, 2 in decreasing order.\nAnswer: 826, 2, -4, -478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 20*y.\nAnswer: y*(y + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 93 times -4\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4675 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*g**3 - g**2 - 37*g + 9.\nAnswer: -54*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - a - 3. Let d be z(2). Let l = -281 + 313.9. Which is smaller: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-1 + 9 - (-3 + (14 - 2))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2. Let c(r) = 13*r**2 + r + 1. Let x be c(j). Find m such that -3*m - 3*m**2 + 2*m - 2*m - x + 19 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294857019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3974789 or -27823528\/7?\nAnswer: -3974789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {r: 3, h: 9, x: 2, d: 5}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135731 = 46*f - 134397 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-26) + (-16 - 1072\/(-208))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 z when three letters picked without replacement from czzlxxx.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q**2. Let x(y) be the third derivative of -y**5\/60 + 8*y**2. Give x(b(z)).\nAnswer: -81*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:55 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 97968599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93741 is divided by 3906?\nAnswer: 3903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642346 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 9. Let c = -0.1 - -0.6. Sort c, -0.3, f in descending order.\nAnswer: c, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*j**2*o**3 - 200*j**2 + 130*j*o**2 + 287*j*o - 968*o**3 wrt o?\nAnswer: -84*j**2*o + 260*j - 5808*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2910 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 6. Let g = 0.054 - 0.054. Which is bigger: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6698 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -15. Put 5, 2, t in decreasing order.\nAnswer: 5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8188.\nAnswer: 2, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40054423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 325516 and 113279568.\nAnswer: 113279568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503401 - 144551 = -13*r - 35*r. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -9*o**3 + 308*o**2 + 580*o - 144 = 0?\nAnswer: -2, 2\/9, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 9470000 to the nearest one hundred thousand.\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -9*y + 12*y. Sort y, -50, 5.\nAnswer: -50, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102384203762 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 230 - 235. What is the third biggest value in 5, -3\/13, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 789 = -12*i + 4605. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1103*m - 9 - 1091*m + 12 - 2. Let c(d) = -3*d**2. Give i(c(h)).\nAnswer: -36*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120121 (base 3) to base 10.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -22, -8, 12, 38, 70, 108?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + u**2 + 1 - 4758*u**3 + 4825*u**3 + 2*u in the form s*u**2 + f*u + h + y*u**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*q + 3*w, 105 = 4*q + q - w. What is the remainder when q is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from heeebbbhe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212022210 + -22?\nAnswer: -1212100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 131, -298, -727, -1156, -1585?\n\"Answer: -429*s + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13641056.1 hours to weeks.\nAnswer: 81196.7625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 - 13.3. Let u = 1680786 - 1680785.8. Sort n, u, 3, -0.5 in ascending order.\nAnswer: n, -0.5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308*0.067.\nAnswer: -20.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-2 - 15\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(((n\/n**(2\/11)*n)\/n)\/n))\/n)\/n*n*n*n*n*n\/(n\/(n**11*n))*n**(1\/9)\/(n**(-1\/5)*n) assuming n is positive.\nAnswer: n**(7669\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 0) + (-3 - -4) + -5. Let -1\/2*p - 1\/4*p**u + 0 = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**4\/12 - k**3\/6 - 11*k**2\/2 + 8*k. Is d(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4\/7 - 114*p**3\/7 - 219*p**2\/7 - 108*p\/7 = 0. Calculate p.\nAnswer: -36, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1104\/10304)\/((-9)\/21))\/((-2)\/48*-507)?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 5:07 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 9*h - 2*t = -67, 94 = 4*h - 2*t. Calculate the remainder when 272 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -2.1, 2\/7, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/502 + -4061\/4518. Suppose -2*i = 5*f + 23, 2*i + 0*f + 13 = -3*f. What is the fourth biggest value in n, -0.5, 5, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/396 and (-33654)\/(-3124)*(2\/198 - 0).\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -105*j**5 + 8017*j**4 + 6335*j**3 - 43237*j**2 + 35926*j - 6936 = 0?\nAnswer: -3, 2\/7, 1, 1156\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -77, -197, -495, -1031, -1865, -3057, -4667?\nAnswer: -6755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpq when three letters picked without replacement from qqqbbqp.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 - -130. Let c(n) = 3*n + 4. Let f(y) = 4*y + 6. What is a*f(i) - 7*c(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 8:03 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s**2 + 758*s + 6568. Determine u(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -21. Differentiate 0 + a - 5*g**4 - 13 wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 2*l - 275 - 1\/3*l**3 + 5\/2*l**2. What is g(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546524 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + -25. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 27585 + 27033 = 25*u + 36*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/6)\/(7\/(-227514)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**3 - 8*h**3 + 3*h**3)*(4 - 4 + 7)*(-1 + 0 + 3 - h).\nAnswer: 77*h**4 - 154*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-2))\/((-9)\/132). Is (q + -14)*(-3)\/2 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, w: 3, m: 1, g: 4, n: 1}. What is prob of picking 3 w and 1 m?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9868 - 3*f**2 - 9868.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.312863 minus 541971319?\nAnswer: -541971318.687137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939707213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101 and 83729.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28538468 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-5)**2*3.\nAnswer: 5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 7038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 14*y**2. Let k be u(14). Suppose 0*c - 3*f = -4*c + 15, -5*c + 5*f + 25 = k. Let d = c - -1. Solve 5*i + 6 - d = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(sqrt(1700) + -1)*-2.\nAnswer: -5 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.8 - 5.9. Which is bigger: -16 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + 27\/12. Suppose w*y - 6 = n + 4, -y + 3*n = 0. Let p be 7\/21 - (-22)\/y. Solve 0*r = p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6061 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 889. Is p equal to -822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*(75\/35)\/(-5). Solve 5*u - 4*p - 14 = 0, -p + x + 6 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/2601 and 7\/11.\nAnswer: 28611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*((-3)\/(-4) - (-1598)\/(-680)). Solve -5*v - d = 2*x, 17*x - 15*x - 6 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 2*a - 16, -4*a - 101 = -17*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 2*h + 160. Let a be l(0). Let r = a - 90. What is the tens digit of 0 + (r\/2)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -269209*g + 2153677. What is w(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 - -3 - 6) - 11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 63.8868835.\nAnswer: 63.7868835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 110871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44578?\nAnswer: 2, 31, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -60, -2, 2, -1677, 6.\nAnswer: -1677, -60, -5, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeebbee. What is prob of picking 3 e?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 464.3067 hours?\nAnswer: 1671504120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*w - 2*j + 4*j, 0 = w - 2*j - 1. What is the second derivative of -4*v + 93 + 3*v**w - 93 wrt v?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/5? (a) 1\/9 (b) 0.3 (c) 1\/6 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 16*m**2 - 2*m + 1. Let f be y(1). Let j be (-1)\/(f\/18)*55. Calculate the remainder when j\/(-10) + 8\/20 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 957*o**5\/20 + 163*o**4\/4 - 943*o. What is the third derivative of r(f) wrt f?\nAnswer: 5742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-4)**2 + sqrt(14)\/sqrt(2) + 0 - ((sqrt(140) - (sqrt(140) + (1*sqrt(140) - sqrt(140))))\/sqrt(4) + sqrt(35))\/sqrt(5).\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14733566.55 + 14734385.5498684. Let f = h + -819. What is f rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 0.06368 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.065703 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2416183 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/(n*n**(3\/2)\/n))\/n))\/((n**(2\/21)*n*n)\/n) assuming n is positive.\nAnswer: n**(59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -184 - -182.9. Let f = -0.7 - c. Which is smaller: 8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6379.011us?\nAnswer: 6379011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -4, 45.59?\nAnswer: 45.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.612806 and 1191.7.\nAnswer: 1185.087194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1782\/(-2970)*(-2 + (-47)\/(-9) - 1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2 - 1. Suppose 0*d + 5*d + 5 = 2*y, d + 1 = -2*y. Let z be t(y). Put 1, -4, z in decreasing order.\nAnswer: 1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (19278\/12)\/(6\/8). Suppose -4*s = -2*b + p, -20*s + 17*s - 3216 = -3*b. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1534609.\nAnswer: 1534609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 5, -3, -9, 0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11426*n**3 - 14849?\nAnswer: 34278*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b85 (base 12) to base 14.\nAnswer: -135b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14638 is divided by 78?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65112, -65124, -65136?\n\"Answer: -12*u - 65100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.765821 rounded to 4 dps?\nAnswer: 7.7658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10057*r**2 + 153*r - 12?\nAnswer: -20114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137021381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -1. Let f = -1 - b. What is the second smallest value in 4, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 216462280559 less than 4?\nAnswer: -216462280555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 16 = 5*o, -o + 6*n + 17 = 2*n. Solve o = -0*k + k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4621621?\nAnswer: 4621621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 404 divided by -15.\nAnswer: -404\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + y - 50, x + 3*y - 2*y = -10. What is the least common multiple of 11 and -17*((-12)\/15 + 3\/x)?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66932225.\nAnswer: 5, 2677289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 13*w - 25. Let k be v(2). Let y(p) = 2*p**2 + 3*p. Let h(o) = -o**2 + o. Calculate k*y(c) - 4*h(c).\nAnswer: 6*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23668 is divided by 230?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -206\/5. Which is the closest to h? (a) -2\/3 (b) 2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 493436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d - 4*d + 0 - 71*d**2 + 5*d - 3 - 10*d as c*d**2 + j*d + p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 56.2?\nAnswer: -28.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 43*b**5\/5 - b**3 - 425*b + 621. Differentiate m(y) wrt y.\nAnswer: 172*y**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36824 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 6:41 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 + -73. Let f = 54 - r. Calculate the smallest common multiple of f and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*g**3 - 4*g**2 - 2*g**2 + 17*g**3 wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4719496 and -1\/6?\nAnswer: 14158488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102331 is divided by 97.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/m**3))\/(m\/((m**(-3\/7)*m)\/m*m*m*m))*m\/((m\/(m\/m**(-3)*m))\/m)*m**(-3\/4)*(m\/m**(-2\/5)*m\/m**(-1))**33 assuming m is positive.\nAnswer: m**(17223\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293, -588, -883, -1178?\nAnswer: -1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 4*v**2 + 7*v + 5. Let j be q(-2). Sort -2, -4, j.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4231 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6530 (base 8) in base 2?\nAnswer: 110101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-845)\/(-39))\/5*3*3. What is the greatest common divisor of v and 390?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = 6. Solve 0*q - 10 = -t*s - 5*q, -q = 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -5\/114, 5?\nAnswer: -5\/114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 21. Let b(i) = -7. Let o(j) = -7*b(j) + 2*c(j). Suppose 0 = 3*t + 10 + 8. Is o(t) 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 -18189, -18258, -18311, -18348, -18369?\nAnswer: -18374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2448*l**2 + 2449*l**2 + 111 - 103 + 10*l. What is f(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0, -119.\nAnswer: -119, -20, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = -0. Suppose -a - 46 - 35 = 0. Let k = -79 - a. Solve -15 = -3*z + w*y, z + k = 3*z + 2*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2 + 10*t + 182. What is i(10)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388.06092 rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -33. Suppose -x*u - 2*j - 3*j - 14 = 0, j + 1 = -u. Suppose -4*i - 4 = -4*f, -u*i = -8*i + 4*f - 6. Is i bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1148733 (base 11) to base 5.\nAnswer: -1003041312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + 26*h**2 - 20*h + 10. Let d(b) = 4*b**3 + 53*b**2 - 38*b + 21. Let n(m) = -3*d(m) + 5*g(m). Calculate n(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, c: 3, y: 3, o: 3}. What is prob of picking 1 y and 3 v?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9232302 and 2.\nAnswer: -1.8464604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-4)*16\/12. Let q be (-21)\/x + 6 + -4. Let k = -0.2 - -0.2. Sort -1\/4, q, k in ascending order.\nAnswer: -1\/4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**8\/56 + 101*c**7\/105 - 161*c**6\/20 + 141*c**5\/10 + 46*c**4\/3 - 76*c**3 + 42*c**2. Solve s(h) = 0.\nAnswer: -38, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 1:56 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -447 by -200844.\nAnswer: 149\/66948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(35142 - 35142 - 6421*p**2) + 4*p**2 - p**2 - 2*p**2.\nAnswer: 6422*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.041 + 0.32.\nAnswer: 0.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -121, -539, -1571, -3523, -6701?\n\"Answer: -51*f**3 - f**2 - 58*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 512800 to the nearest 1000.\nAnswer: 513000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -157 + 51 + 71.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 0 + 32\/4. Suppose 2*d - z = 261997, -2*d + 200755 = -r*z - 61230. Round d to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4, -193.51?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/3 - 30092*v - 14467248 = 0. What is v?\nAnswer: -44652, -486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 3*p - 3*p - 4*p)*(-78*p + 77*p + 48*p + p + 0 + 0 + (-2*p - p + p)*(5 - 5 + 1)) to j + h*p**2 + o*p and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 321096416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -11. Suppose -2*w - 2*w = -536. Suppose 0 = 3*u + r - 88, -3*r = 5*u - w - 10. What is the highest common factor of u and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 197\/(-1379) + 55\/(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 8*p - 55. Let q be a(11). Let z(m) = -q*m + 195*m - 97*m. Let x(h) = 3*h**2. Determine z(x(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -719 = 36*k - 71 + 684 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 2 + 0 + z**2)*(-1217 + 1217 + 643*z**2).\nAnswer: 1286*z**4 - 1286*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 times -3?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(196) + 2*(sqrt(196) - 3*sqrt(196)) - sqrt(196)))\/((sqrt(567) + sqrt(567)*2 - sqrt(567))*3))**2.\nAnswer: 112\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106\/3, 1, 4, 1\/44, -4\/23 in ascending order.\nAnswer: -4\/23, 1\/44, 1, 4, 106\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(3*(-4)\/12). What is the highest common factor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(-3*(sqrt(208) + -3 + sqrt(208)))**2*-3.\nAnswer: -113538 + 6480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - j - 5 + 0 = 0, -5*j = 3*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 153?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 360 by -90.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kau when three letters picked without replacement from ahujykykhjyykku.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 850893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4625 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 145385 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -19*t + 2. Let u be x(-8). Let k be (-4)\/(-10) + u\/(-10). Let y be (-1)\/2*(k + -1). Calculate the highest common divisor of y and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = 5*x. Let a(o) = -4*o + 2*o**x - o**2 + 4 + o. Let m be (-24)\/(-10) - (2 - (-26)\/(-10)). Determine a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 669, 1307, 1885, 2373, 2741, 2959, 2997?\n\"Answer: -5*o**3 + 673*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 283 - 239. What is the least common multiple of 132 and n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70646281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4471657 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/15)*x**6\/x)\/(x*x**6\/x)**21 assuming x is positive.\nAnswer: x**(-1817\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-3 - (3 - 6))) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neiteetennerrretne. What is prob of picking 1 n and 1 t?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0 - 0) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -5 - (7 - 3) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -51 (c) 17 (d) -5 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 4*k + k)*(-3 + 1 + 0) + 2*k + k - 4*k + (-3 + 0 + 1)*(-4*k + k + 5*k) + 0*k - k + 0*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -2a2?\nAnswer: 2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - t - 1. Let b(i) = 15*i**2 + 15*i + 18. Let r(p) = b(p) - 18*g(p). Factor r(h).\nAnswer: -3*(h - 12)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 3:31 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -9. Which is the biggest value? (a) -5 (b) 1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(196\/343)\/((-4)\/(-14))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 7*v**2 - 5*v + 9. Let b be i(7). Let l = 84 - b. Let g = -56 + l. Calculate the greatest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 11*t - 19. Suppose -4*g + 9 = -m, -2*g = -5*m + 3*g + 15. Let h be o(m). Let y = 17 - h. Solve d = -d - y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8844 - 22?\nAnswer: -8866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10165176 and 227171?\nAnswer: 3974583816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbaa. What is prob of picking 2 b and 1 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x + 203 = -13*x + 763 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = 38 - 146. Let d(f) = 8*f + 59. Let i be d(g). Let a(c) = 3*c**2 - 4*c - 4. Let p(n) = -8*n**2 + 11*n + 11. Determine i*a(o) + 4*p(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*a + 5*a. Let d be 4\/(-5)*(-175)\/a. Let r be (-4)\/d + (-86106)\/21. Round r to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7289.802437 to the nearest integer.\nAnswer: -7290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7335518*x - 55376 + 55376 + 7335522*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1.092075 milliseconds?\nAnswer: 0.001092075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -132.\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 174 = -233. Which is the biggest value? (a) 0.4 (b) 0 (c) 1\/9 (d) 0.3 (e) u\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -41 (b) 0.29 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 25593.\nAnswer: -4\/25593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 748*y - 8. Let l(d) = 187*d + 2. Determine -9*l(a) - 2*s(a).\nAnswer: -2*a**2 - 187*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 898559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 6*x + 4. Let w be u(6). Determine k, given that 3 - 72*k**3 + 8*k + 3*k**2 + 48*k**w + 9*k + k + 0*k**2 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 9*n - 13*n - 555, c = 3*n + 185. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1743, -3396, -4951, -6360, -7575?\n\"Answer: 8*q**3 + q**2 - 1712*q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36023 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 176 = -w - 3*w, 0 = -w - l - 47. Let f = 75 + w. Calculate the remainder when 147 is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 3)*(-192759)\/(-40278)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 207136*y**2 + 414269*y + 207134.\nAnswer: (y + 1)**2*(y + 207134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c + -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-15) + (-2 - 1 - 3567\/(-435)). Let o = 3 - -5. Suppose t - 3*t = o. Which is the second smallest value? (a) n (b) 1 (c) -1\/2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110011001001 (base 2) to base 10\nAnswer: 3273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmk when three letters picked without replacement from kmkwkwkkwkmw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 4*n + 7. Let q be 2*(-10)\/12*-3. What is the remainder when o(q) is divided by (-9)\/(2 + -5) + 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 6\/2)\/(-2 - 1). Which is smaller: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000375 to 5 decimal places.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 3*g**2 + g + 9. Calculate the smallest common multiple of 12 and d(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 195 - 164. Suppose -2*d = -39 - n. Calculate the highest common divisor of 245 and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8598 + 0?\nAnswer: -8598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 347627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/6 and -139\/4326070.\nAnswer: 12978210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1255*s**2 - 509*s**2 - 494*s**2 + (-s**2 + 3 - 3)*(4 + 4 - 2).\nAnswer: 246*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*o = 4, -4*u - 3 = -4*o - 11. Suppose -3*q + 0*q = 30. Is u - (4 + -3) - q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - t**2 + 254. Let b = 4372 - 4352. What is the smallest common multiple of b and p(0)?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -2*j - 3*g + 9, 0 = j + 3*g - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -8, -6, 6, 34?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3689)\/(-1023) + (-8)\/(-132))*3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 125, 235, 325, 395, 445, 475?\n\"Answer: -10*r**2 + 140*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15549 and 1349?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2510, 4959, 7408, 9857?\nAnswer: 12306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*l + 2*p, l + 3*p = -0*l + 25. Suppose -5*u + 12 = a - l, -4*a + 5*u = 0. Suppose 0 = -a*z + 2*z + 1227. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.36152 millennia to decades.\nAnswer: 3836.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 + l**3 - 985 + 987 - 70*l**2 - l**3 as t*l**4 + d*l**2 + m*l**3 + q*l + z and give d.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 27, 5, -35, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/4*3\/9. Let w(g) be the second derivative of -m*g**4 + 0*g**2 + 21\/100*g**5 + 0 - 3\/50*g**6 + 3*g + 1\/10*g**3. Let w(b) = 0. What is b?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3175*h + 25284. Determine k(-8).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 8*u + 1. Suppose 0 = -2*f - 3*f + 5*z + 15, -5*f + 3*z + 23 = 0. Let i be w(f). Find the third derivative of i*s**2 + 8*s**3 - 29 + 29 wrt s.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 27*a**2. Suppose d = 2*d - 2*k - 11, 2*k + 8 = -2*d. Let u be p(d). Suppose -43 - u = -5*j. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 168?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 422 + -419. Which is the closest to r? (a) 2\/17 (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x - 41*x = -3*g + 74631, 4*g - x = 99508. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = 3*f. List the prime factors of f\/4 + (-21)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:02 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-744)\/(-4774)*(-1)\/((-4)\/(-14))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3 + (-12 - -9) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 20*u**2 + 11*u + 2. Let t(g) = 31*g**2 + 17*g + 3. Determine 8*i(m) - 5*t(m).\nAnswer: 5*m**2 + 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1610*h - 1640*h + 420 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 3*i - 183 = -o, o + 0 = 3 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*r**4 - r**4 + 18*r**4 + (-r**2 - 12 + 12)*(9*r**2 - r**2 - 10*r**2).\nAnswer: 30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/15)\/(1\/5) + 10. What is the greatest common divisor of t and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoeeooeooe. Give prob of sequence ee.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 9*q + 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4161576, 8322896, 12484216?\n\"Answer: 4161320*l + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7846202.\nAnswer: 2, 7, 13, 19, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3757438*y**3 + 3613*y**2 - 5*y - 16.\nAnswer: -22544628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00658716 to four decimal places.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + s. Let t(b) = -4*b**2 - 10*b - 8. Let h = -9 - -7. Let m(p) = h*k(p) - t(p). Factor m(a).\nAnswer: 2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 - 88 = 6*n. Is n less than -219\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 98, 392, 890, 1604, 2546?\n\"Answer: 2*c**3 + 90*c**2 + 10*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**3\/3 - 2*a - 3. Let m(x) = 6*x + 16 - 16. What is m(j(z))?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 2*x - x + 5*x)*(146 - 17 + 102) to c + u*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 510\/(-136)*(-4)\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37346100.\nAnswer: 2, 3, 5, 11, 11317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - u. Let o(k) = k**3 - 2*k**2 + k + 2. Let x(l) = o(l) - 5*r(l). What is the least common multiple of 18 and x(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.07 (c) 1\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/5 + 0\/28. Let k(n) be the second derivative of -1\/15*n**6 - 5*n - g*n**5 + 1\/3*n**3 + 0 + 1\/21*n**7 + 1\/3*n**4 - n**2. Factor k(s).\nAnswer: 2*(s - 1)**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvccbvvscycv. Give prob of sequence sby.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33652 and 3196?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = -5*d. Let u = 12 + -11.95. Let z = -0.35 + u. Sort 5\/2, z, d in decreasing order.\nAnswer: 5\/2, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 193*j - 194*j = 9, 5*s + 2*j = -13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 3, z: 4}. What is prob of sequence wz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104542.\nAnswer: 2, 167, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 20 = -2*y, 4*r + 118 = 2*y. Let u = r + 29. Suppose 0 = u*q + 2*q - 244. 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 s(b) = 3*b**2 - 3*b - 3. What is the remainder when s(4) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 12*w + 1342. Let b(c) = -7*c - 671. Calculate 5*b(p) + 3*g(p).\nAnswer: p + 671","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glgggggggglg. What is prob of picking 2 l and 2 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-146)\/(-3285))\/(0 + (-2)\/10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12 + 9)*1\/31. Is z at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 123 + -3700?\nAnswer: -3566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 57*y - 484. Determine i(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -944, 2\/5, -1537?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 81 + 3?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {r: 1, g: 1, m: 5, z: 6, i: 1, b: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)*(1 + -4). Suppose t = -p*t + 168. Let n = -11 + t. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) - sqrt(27))*2.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/4 of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66663 in 2, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*w - 4*f + 59 = 60*w, 5*w - 5*f = -85 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*i = -6*f - 5*f - 61, -f - 12*f - 5*i - 122 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 82 = 14. Suppose 3 = 2*m - 3. Let v be (-1)\/(2 - 7\/3). Solve -m*g - v*d + a = -0*d, 0 = 3*g + d - 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/6)\/(17\/612*24).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232 + -233021?\nAnswer: -233313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1110\/1213?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1883*l**3*q*r + 1050793*l**3*q - 2108*l*q*r wrt r?\nAnswer: 1883*l**3*q - 2108*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -0.5 (c) -11 (d) 5 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-2 - 1) - (161 - 147)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*w = 2*r + 21, -5*r + 4*w + 31 = 0. Let m = -5 - -5. Suppose -5*y = -10 - 10. Solve -y*o - 3 = -m*u + 5*u, -r*o + 21 = -4*u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 34811879*s - 34811867*s + 1.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 + 1 + (-3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 250 - 99 - 1095 - 377 as x + m*w and give x.\nAnswer: -1321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d - 3*d**2 + 6*d + 1 + 11*d**2 - 4*d**2. Let l(k) = k**2 + k. Let a(b) = 2*l(b) - z(b). Let h(x) = -5*x**2 - 3. Give -7*a(c) + 2*h(c).\nAnswer: 4*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g + 70. Let v be l(-8). Let a be 0*(15\/6 + -2). What is the units digit of 2*(171\/v - (3 + a))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 770, 783, 814, 869, 954, 1075?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 786816 and 4.4.\nAnswer: 3461990.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 58. Let u = -1661\/4 + 433. Let y = u + -18. Is r equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1761625 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5715\/23 equal to 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -290 divided by -4\nAnswer: 145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 9*g**2 - 28*g - 76. Give y(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -324006, -323956, -323906, -323856, -323806, -323756?\n\"Answer: 50*x - 324056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b - 5*m + 820, -5*b + 1004 = m. Suppose b - 1067 = -3*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*y**2 - 102*y**2 + 2*y - 32*y = 0 for y.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/21)\/s**(-13\/5))**(-8) assuming s is positive.\nAnswer: s**(-2264\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1320\/(-4))\/33*84\/(-385)?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 4169*i - 4172*i = -9*c + 3, 0 = 7*c + 4*i - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/54 and 73\/78.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -320 divided by 64\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1337805 and 990?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = 2*j. Let o be (-11 - -2 - -1)*j. Calculate the greatest common divisor of o and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*g = -0*z + 11, g = 3*z - 5. Suppose 2*w + a + z*a - 13 = 0, 0 = -4*a + 12. Solve 0 = -2*u + w - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*k + 0 + k**4 - 125*k + 0 wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/12*(-9)\/60*-2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = k, -4*r - k = 4*k + 12. Solve -s + 1 = -p, -5*s - p = -5*p - r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*2*sqrt(450) + sqrt(450)))\/((sqrt(640)*3 + sqrt(640) - sqrt(640) - sqrt(640)) + (sqrt(180)\/sqrt(6))\/sqrt(3)).\nAnswer: -84*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -257, -270, -283, -296, -309?\n\"Answer: -13*q - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 5*a**2 + 6. Let u be s(5). Let k(h) = 9*h - 7 + 31*h**2 - 11*h**2 - 15*h**2 - h**3. Is k(u) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131 - 153. Let k = w - -24. Which is the nearest to -0.3? (a) 5 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 5. Let z be 21 + -3 + a + 2. Let l be ((-2)\/(-4) + 0)*(z + -9). Solve l*f = -2*n - 10, n + 0*n = -5*f - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine halves of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a*a*a**2)\/a*a))\/a)**7\/((a\/(a*a**(-2\/11))*a)\/(a\/a**(2\/15))) assuming a is positive.\nAnswer: a**(-5827\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.133 and -166113.\nAnswer: -22093.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33015.\nAnswer: 3, 5, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*b = -93*b - 56. Solve -14*j = -b*j + 28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47711 is divided by 46876.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 579*f - 2916. What is m(4)?\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5287.669 rounded to 0 dps?\nAnswer: -5288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 185, 184?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3881599 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -191*k. Let s(n) = 38*n. Calculate s(g(b)).\nAnswer: -7258*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-290)\/(-6090)*(4 + 2) + (-1119)\/21\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**5 + 19*a**4 - 739*a**2 + 92894*a wrt a?\nAnswer: -40*a**3 + 228*a**2 - 1478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14276 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*4\/10*5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022 + 0?\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 + 109. Which is the third biggest value? (a) 389 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202589 (base 10) to base 15.\nAnswer: 2d7944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y**2. Suppose -4*f - 6*d + 7 = -5*d, f + 4*d = -17. Let n(x) = 3*x + f*x - x - 7*x. What is n(h(o))?\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 4*h - 1. Let i be v(2). Suppose 0 = -5*a + i*z + 25 + 16, 4*a + 2*z - 46 = 0. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14*6\/(-945))\/(2\/(-5)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(6)\/sqrt(2)*4.\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 185 in 7, 8, 1, 0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 32503926*k + 65007856.\nAnswer: -(k - 2)*(k + 32503928)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 8. Let y be g(-5). Let r(u) = 26*u**2 + 6 - 32*u**2 - u**3 + 1 + y*u**3 + u. Let t be r(3). Solve z + t = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.27 + -1.27. Which is the third smallest value? (a) 5 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 2*q + 5*q + q + 4*q - 7*q - 3 + 2*q + 3 + (1 + 0 + 0)*(2 - 2 - q) - q + 0*q - q - 2*q + 5*q - q + 29 - 29 - 77*q)*(3 - 4 + 3)*(-5 - 9 + 0).\nAnswer: 2128*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3104090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105455 - -105503. Suppose -37 = -m + 17. What is the highest common factor of n and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 + 13*b**2 + 3*b + 5. Let n(i) = -6*i**3 - 19*i**2 - 4*i - 7. Calculate -7*c(w) - 5*n(w).\nAnswer: 2*w**3 + 4*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 75\/4 - 2\/(-8). Let l = i - 9. What is the least common multiple of 4\/10 - (-136)\/10 and l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 788*a + 1118 + 2602 = -452*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, k: 2, q: 7, b: 1, x: 2, s: 1}. Give prob of picking 2 k.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-24.74.\nAnswer: 4.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q**3 - 2*q**2 - 4*q - 1. Let y be b(-1). Solve -2*k - 3 = -y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -307 + -15430282.69588\nAnswer: -15430589.69588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, i: 4, o: 3, c: 1, v: 1, r: 1}. Give prob of sequence civo.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*u - 40 = 151*u. Find the common denominator of -7\/34 and 96\/u*(-3)\/(24\/5).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 1. Give y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3 - 6 - 53*k**3 + 50*k**3 - 2*k**2 - 27*k - 4*k**4 + 21*k in the form i + c*k**2 + l*k**3 + u*k**4 + z*k and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -595 = -5*b + z - 579, 3*b - 4*z + 4 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4 minus -19217?\nAnswer: 19212.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -304 - 121455?\nAnswer: -122203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = h + 4*n, -5*h + 3 = -3*n. Solve -3*o = 5*q - 25, -o = 3*q - h*o - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n + 1. Let x be q(1). Let i be 4\/x - 8\/(-5). Solve 4*o - 15 = -5*h, -i*h = 3*o - 6*h + 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 3 - 364954\/2. Let o = n + 122081. Round o to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 452900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 600\/(-1050) - ((-246)\/(-35) + 4\/10). Let y(p) = 5*p - 9. What is y(l)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from {m: 2, d: 6, g: 3, y: 1, h: 2, p: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwpwdwdwpwwwwdww. Give prob of sequence dwpp.\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-17)*(4\/(-6))\/((-8)\/(-6))*39.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-216)\/336*16\/(-6)*35*2. Which is smaller: 137 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5590)\/(-7) + 1 - 4\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 106*r**2 + r + 252*r**2 + 342*r**2 - 76*r**2.\nAnswer: 624*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*u + 2 + (0*u + 0*u + u)*(5 + 0 - 4) - 2 + 2 + u - 7 + 14*u + 7 as t*u + g and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 5. Let m(r) = -3*r - 4. Suppose 2*v + 16 = 2. Calculate v*m(w) + 6*i(w).\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 13 - 2)*(1 + 1 - 13*d + 26*d) + 3*d - 3*d - 2*d + (-2*d + 3*d - 2*d)*(5 - 3 + 0) + d + 2*d + 0*d to s + v*d and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113285 (base 9) to base 6.\nAnswer: -1242552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11021, 22056, 33103, 44162, 55233, 66316?\nAnswer: 77411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134626 and 5810.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 275277044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -20010002?\nAnswer: 20002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5, k: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q - 4*z = 10, 5 = z. Let k = 7 + -9. What are the prime factors of (-3 - -3) + q\/k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 26248188 = 3448188. What is h rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2009*l**3 - 6*l**2*x**2 + 2*l*x**2 - 6*l*x - 799*x**2 wrt l?\nAnswer: -12054*l - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfff when four letters picked without replacement from {w: 1, d: 8, f: 4, c: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.472 - 120.828. Round a to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466 - 389 = 267*y - 3525 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*c + 204 + 228 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (-3*(sqrt(108) - ((sqrt(108) - (-4 + sqrt(108) + -2)) + sqrt(108))) + 5)*3)**2.\nAnswer: 12675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 0*y + 41 = 5*y, 0 = b + 2*b - 83*y - 108*y + 1331 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(1\/(-1)) - 2. Suppose -z*k + 21 + 48 = 0. Let n be 8*(12\/(-4))\/(-3)*1. Solve 3*h + n = k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 less than -2.374?\nAnswer: -228.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000267296 to six decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 3:25 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0 + 5*k - 7\/12*k**4 - 3*k**2 + 0*k**3. What is the first derivative of l(s) wrt s?\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 35. Let h = -6 - 6. Let i = 17 + h. What is the nearest to y in 0.2, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -12*z - 5. Let h(k) = k - 4. Let i be h(0). Let w be d(i). Let s = w + -24. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224053556, 224053559, 224053562, 224053565, 224053568?\nAnswer: 224053571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(0 + 0 - 4*k) - 2*k - 2*k + 3*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_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: What is the highest common factor of 15 and 3195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a - 6. Let t be -3 + 2*(-22)\/(-2). Let y = t - 16. Let j be b(y). What is the highest common factor of 45 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.3 - -17.09. Let a = 0.79 - g. Let r = 37\/120 + -7\/40. Sort -4, a, r in ascending order.\nAnswer: -4, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -52*w**2 + 106*w - 1. Calculate s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:01 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -137? (a) 2 (b) 1 (c) 2\/7 (d) 298\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 33*c + 204. Let v be n(38). Calculate the highest common divisor of 28 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**8\/168 + 611*l**7\/210 - 9*l**5\/10 + l**3\/6 + 3*l**2 - 87*l. Find the third derivative of b(z) wrt z.\nAnswer: -120*z**2 + 14664*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**12)\/t)**49)**(-39) assuming t is positive.\nAnswer: t**(-22932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z**2 - 2 - z + z**2)*(3*z**2 - 3*z**2 + 2*z**2 + (-1 + 1 + 1)*(4 - 4 - z**2)).\nAnswer: 2*z**4 - z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 83844963778 and 92.\nAnswer: 83844963870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + -2.4. Let t = 174 - 135. Let r = t + -38. Which is the closest to r? (a) u (b) -0.4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1467 (b) 2 (c) -2 (d) 2\/7 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 10, p = 2*j + 4*p - 14. Suppose -i - f + 2 = -2*f, 5*i + j*f = 10. Suppose 78 = i*y + 30. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(((sqrt(972)*-3 - sqrt(972))**2 + 1 - sqrt(972)) + 4).\nAnswer: -62226 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - o - 2. Let s be b(2). Let q(k) = 0*k + 8*k - s*k + 1 + 1. Does 7 divide q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -15 (b) 0.093 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9318.\nAnswer: 2, 3, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115088500 and 9331500?\nAnswer: 345265500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 v when three letters picked without replacement from {m: 6, d: 1, l: 3, v: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -6*t**5\/25 - 1024*t**4\/25 + 1554*t**3\/5 - 11116*t**2\/25 - 14208*t\/25 + 5696\/25 = 0?\nAnswer: -178, -1, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 140464558 from 128.\nAnswer: -140464430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**2 + 61*a + 5. Let c(l) = -11*l**2 + 91*l + 8. Let z = -13846 - -13838. What is z*q(o) + 5*c(o)?\nAnswer: o**2 - 33*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from kgdditdtkddtddggtkkf.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1292 by 6938.\nAnswer: 646\/3469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7 = -3. Let d = 44 - z. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 8:29 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 57 = 2*g. Suppose 0 = -5*i + 1 + g. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 3:43 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/21 + (-88)\/(-6). Solve -4*j - n = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {o: 1, x: 1, v: 1, q: 4, r: 2, z: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3860 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 6:57 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*m - 1223*m - 445*m - 423*m + 2 + 310*m.\nAnswer: -1990*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -92 (c) -2\/13 (d) -1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*v - 3*v - 96 = 0, -8 = -2*v. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18074, 18062, 18036, 17990, 17918?\n\"Answer: -i**3 - i**2 - 2*i + 18078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 11:20 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2968, -1746, -14430, -39068, -79644?\nAnswer: -140142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 19*k**2 + 48*k - 185. Give y(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15*r + 2. Let b(q) = 29*q - 4. What is 2*b(y) + 5*z(y)?\nAnswer: -17*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 = 2*a + 3, -2*a + 18 = 2*f. What is the closest to -4 in 2, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3145 - 39?\nAnswer: -39.3145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 7*o**2 + 6*o + 4. Calculate m(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -3 + 1 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 101a50 - 49?\nAnswer: 101a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1690, -1242, -492, 560, 1914, 3570?\nAnswer: 5528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**4\/4 - v**3\/3 + 5*v**2. What is the least common multiple of 5\/((1 - 2)\/(-1)) and w(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 7) to base 11\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**3 - 2*m**3 + 4*m**3)*(m + 2 - 2) - 23*m**2 + 3*m - 13*m**4 + 23*m**2 in the form q*m**2 + t + z*m**4 + a*m + n*m**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Is 121247 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-3746)\/(-4) + 9\/18). Solve -14*u + 5*u**2 + i - u**2 - 3*u**2 - 952 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 39 = -84*i + 377 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.044, 2\/3, 26, 2\/15, -18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 275265 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 12, 14, 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/72? (a) -0.73 (b) 0.5 (c) -0.1 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 8:32 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*i + 19*i**2 - 32*i.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32.9543 and 422.281.\nAnswer: 389.3267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*n**2 + 142*n**2 + 118*n**2 + 387*n**2 in the form y*n + p*n**2 + o and give p.\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l = 3*u - 10, 2*u + 2*l = 6. Suppose -u*b - 88 = -144. Calculate the remainder when 39 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122\/245 + -5\/49. Suppose 192 - 180 = -4*v - 3*x, 0 = 2*x + 8. Let z = 0.4 - -4.6. What is the nearest to u in 2\/13, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1689 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 12:39 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 0*p**3 + 0*p**4 + 7\/20*p**5 + 3*p + 5\/2*p**2 + 7. Let q(f) be the first derivative of x(f). Differentiate q(l) wrt l.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 1583 = 5*l - 1588, 0 = -l - 4*b + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344627 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 7:52 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + (-77)\/(-14))*(-8 + 10). Which is smaller: 1\/1697 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 11*k - 3. Let b be (150\/(-45))\/(1\/(-3)). Let y = 34 - 14. Calculate the remainder when y is divided by o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18945\/(-5052)*(-12)\/(-45)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsddbooas. Give prob of picking 1 a and 1 o.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-42)\/8)\/7)\/((-2)\/8104)?\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204382 is divided by 91?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 7:40 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 4) + -5 + (11 + -13 - 16 - 28)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40348022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (28 + -17 + -9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -61, -6, -3, 3 in descending order.\nAnswer: 3, -1, -3, -5, -6, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 3*m + 5. Let w(p) = -p**3 - 11*p**2 - p - 9. Let q be (-2 + 0 - -5) + -14. Let v be w(q). Give t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-3) - (204\/18)\/17. List the prime factors of -6 + 10 + q + 421.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124418743 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: What is the hundreds digit of 297024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2612969 is divided by 7641.\nAnswer: 7388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280282?\nAnswer: 2, 353, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 + 163274*p**2\/3 + 10016056736*p\/3 + 7034295534680\/9.\nAnswer: 2*(p + 235)*(p + 122338)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 111254318 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015533928 rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 4*c - 44 = -3*u, -2*c = -7*u - 46 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -3, -19, -2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79616136 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60 * 7.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (73 - (0 + -1)) + 2. What is the common denominator of h*1*9\/(-24) and 17\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8 + 2383*m**2 + 2415*m**2 - 4789*m**2 - 11*m. Give x(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)*t*(t\/((t\/(t\/t**6))\/t))\/t*t)\/(t**4*((t**(-2\/3)\/t)\/t*t)\/t))**(2\/3) assuming t is positive.\nAnswer: t**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**3 - 11*w**2 - 11*w + 5. Let z(g) = g**3 + g**2 + g. Let y(o) = 4*v(o) + 44*z(o). Find the first derivative of y(k) wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvr when three letters picked without replacement from {u: 10, k: 2, v: 3, r: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 213*k. Let b(d) = d**2 - 620. Calculate b(r(m)).\nAnswer: 45369*m**2 - 620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0861748ml in litres?\nAnswer: 0.0000861748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9156199.\nAnswer: 13, 29, 149, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 1:03 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4493515290?\nAnswer: 2, 3, 5, 11, 23, 107, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12568124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1131 - -1876. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/8 + (-2 - 5).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-20 - 2) + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 14*u + 15. Let r be (12\/(-8))\/(12\/(-16)). Suppose 39 = 5*i - r*i. What is the units digit of m(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.047 in 2, -12\/13, 71?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 2*u + 0*u + (4*u - 3*u - 3*u)*(-1 - 1 + 0))*(-11*u**4 + 10*u**4 - 26*u**4).\nAnswer: -54*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*j + 4*b, 5*j + 3*b - 109 = -40. Is j less than 428\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**2 - 130*u + 600 = 0.\nAnswer: -30, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -1) + 16\/(-5). Let f = 130 - 130.3. Which is the second biggest value? (a) p (b) -17 (c) f (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113371*b**2*f*x**2 + 138*b**2*x + 869*b**2 - 8*b*f*x**2 - b*x**2 - 10*x**2 with respect to f.\nAnswer: 113371*b**2*x**2 - 8*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 a when three letters picked without replacement from kakkzkwca?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1791064452 rounded to 5 dps?\nAnswer: 1.17911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-1 + -18) - (2 + 2 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 0 - (14 - 196). Is (-1 + m - -1) + 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/31 and -5.43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(16\/(-48))\/(8\/3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/3 - 70*n**2\/3 - 8*n\/3 + 280\/3 = 0 for n.\nAnswer: -2, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9298073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/7 - 12\/7*d - 3\/7*d**2.\nAnswer: -3*(d - 1)*(d + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + -3)*(-314)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d6 - a675?\nAnswer: -a59f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 106505 and 6.1.\nAnswer: 106511.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 6 - -3) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from {a: 1, z: 1, r: 2, w: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avwlvtvanan. What is prob of picking 1 a and 1 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1185*m + 20040 = 854*m + 744*m - 15065 for m.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/31 + -15\/124. Which is the second smallest value? (a) x (b) 7\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 206649684?\nAnswer: -206649684.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261?\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*i = 104, -5*b - 4*i - 31 = 61. Let g(y) = -7*y - 2. Let f(n) = -8*n - 1. Let z(m) = 3*f(m) - 2*g(m). Let a be z(2). Is a < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*t**3 + 2*t**2 - 25*t**2 + 81*t**3 wrt t.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 1, p: 13, z: 2}. What is prob of picking 2 z and 1 p?\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19480757 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r - 8 = 0. Let j(s) = -4*s**2 - 7*s. Let v(i) = i**2 - 3*i - 1. Let n be v(5). Let m(b) = -5*b - 2*b**2 + 2*b + 0*b. Give n*m(q) + r*j(q).\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - (8 - 11)) + 154 + -200?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -299 - -303. Suppose -v + 3261 = -15*d + 17*d, -j*d = 5*v - 6519. What are the prime factors of d?\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-54 - -46 - (9 - 0)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -1\/2*y**4 + 0*y**2 + 0 + 0*y**6 + 0*y**3 + 17*y + 0*y**5 - 1\/7*y**7. Find the third derivative of d(p) wrt p.\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 4:18 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -22 + (15 - 13)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122962\/57 - -2157. Find the common denominator of d and 53\/48.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 3*q**2 - 4*q - 3. Let w(p) = -p**2 + 3*p + 0*p + 4 + 0*p**2. Let a be w(3). Calculate k(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -3565516?\nAnswer: -17827580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/32 and 101\/80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13595101356 less than -20?\nAnswer: -19.86404898644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 6*f - 5291. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 9:17 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from memxeieemmixmeeeee. Give prob of sequence eme.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*((-12)\/21)\/(18\/21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 5*n + 4. Let v be 52\/(-8) - (-2)\/(-4). Let r be (1 - v)*2\/(-4). Let u be s(r). Solve -2*z + u = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3580, 7118, 10630, 14116, 17576?\n\"Answer: -13*w**2 + 3577*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.15 + -0.2. Let d = q + 2.05. Let o = -1.9978 + d. What is o rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20984.\nAnswer: 2, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/13, -1416 in increasing order.\nAnswer: -1416, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 10 = 3*y, -2*y = i + 1 - 6. Solve 4*u + 4*r + 12 = 0, y*u - 3*r = 4 + 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 96 = -2*x. Let d = 303 + -298. Let t be ((-2)\/(-1))\/(4\/8). Solve -d*l + c - 19 + x = 0, t = -c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from {u: 4, j: 2, f: 8}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 14*x - 2 + 4 - 23*x.\nAnswer: -37*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22538 * -0.293.\nAnswer: 6603.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1232 + -3?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 5*c - 2*o, 3*c + o - 108 = -2*o. Suppose -6*b = -7*b + c. Suppose 282 - b = 4*g + p, -4*g = -3*p - 245. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 475.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f + 10 - 4*f + 6*f + f**2. Calculate the remainder when s(-8) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5147, 1, 0.5, 0.6, -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 7*t**2 - 7*t + 1. What is f(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(78) - sqrt(78)*1)*-6 - sqrt(78)) + sqrt(78))\/(sqrt(66)\/sqrt(704)) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -5647 - 8813. List the prime factors of x.\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 1540*b - 20 = -1544*b, -r - 2*b = -12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Work out 223.394 + -107294.\nAnswer: -107070.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 9885 - 9855 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16603 (base 9) to base 5\nAnswer: -331144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93464 - 33630. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16041 is divided by 3206?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eighteen fifths of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o - o**2 - 3*o + 3*o - 2*o**2 - 2*o**2 + 5*o**2 - 2*o**2 + (-o - 2*o + o)*(5*o + o - 5*o) - 4 - o**2 + 4)*(3 - 2 + 7)*(-3*o + o + 3*o).\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**5\/240 - q**4\/96 + q**3\/12 - q**2 + 12. Let s(v) be the second derivative of j(v). Factor s(n).\nAnswer: -(n - 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 + 7*j. Let k be f(4). Suppose -5 = o - 19. Calculate the least common multiple of o and (9 - 273\/35)\/((-6)\/k).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 11:24 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*k + 5*f, k + 17 = 4*k + 4*f. Suppose 0 = 4*m + 5*r + 348, -m - 87 = -2*r - k*r. Let h = -31 - m. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(2)*-6 - (sqrt(14) - sqrt(224)*3))\/(1*sqrt(2)*3 - (sqrt(2) + sqrt(8)\/sqrt(4)*-1)).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 46162637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18 - (2 + -2)*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1950 - 2883. Which is bigger: -932 or o?\nAnswer: -932","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 2*z**3\/3 - z. Let q(f) = 1 + f**2 - 1. Calculate q(p(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 a factor of 3597375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -133868.4 greater than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 7*n**2 + 9*n**2)*(n - 4*n - 4*n).\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-40)*296\/(-18)*2706\/(-451)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 165*j**5 + 24*j**2 - 5 wrt j?\nAnswer: 9900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-6)\/(-55))\/(30366\/(-101220))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -11. Suppose -a - 1 = -2*g. Factor 4*k**g - k**3 - 1\/2 - k - 7\/2*k**4 + 2*k**5.\nAnswer: (k - 1)**3*(k + 1)*(4*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-25) - (-3)\/5. Let o be ((-2)\/6)\/(p\/(-15)). Find the second derivative of -2*z**4 - 2*z + o*z - z wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*j**4 + 2*j**3*r**2 - 114*j**3 + 56*j*r**2 + j*r - 41*j + 106*r**2 wrt j.\nAnswer: 168*j**2 + 12*j*r**2 - 684*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 89484915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/113 - -187\/6780. Calculate the common denominator of 76\/32*(-1)\/(-2) and c.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 0.09, 13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 15265*d + 2076027. What is m(-136)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -139*h - 6 + 86*h - 5 + 76*h as c + v*h and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -639\/7 - -91. What is the smallest value in 0.2, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.270021 rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -12 + 2 + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140008\/17974)\/((-16)\/(-228)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*t = -42 + 1757 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**5\/20 - r**4\/12 + 9*r**2 - 4*r. What is the smallest common multiple of 8 and q(0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2 + 0 + 0*v)*(0 - 1 + 3).\nAnswer: 4*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 160.6451nm?\nAnswer: 0.1606451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/135*((-171)\/(-2) - -3) and 287\/(-18) - 2\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + -0.3. What is the closest to 0 in 2, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, n: 1, s: 1, t: 2, b: 1, q: 2}. Give prob of picking 1 q, 1 n, and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/3)\/(-1) - 26\/78. Let a be (-4)\/q*(-196 - -6). Suppose -280 = -8*u + a. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 22 = 2. Suppose t*y - 81 = 4*f - 213, 186 = 5*f + 2*y. Calculate the remainder when f is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-390) + 66\/(-624)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 16*u - 243. What is the remainder when 104 is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140*o - 657*o**3 + 282*o - 130*o - 18*o**2 wrt o.\nAnswer: -3942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((2\/8)\/(5\/(-4)))\/(-2))\/(6\/42)\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*f = 128*f + 125 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**5\/25 - 19*f**4\/20 - 34*f**3\/15 - 23. Factor p(d).\nAnswer: -d**2*(d + 2)*(d + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -1 + 40\/(-22). Suppose 4*f = -f + 15. Let u be 3 - -50*f\/(-48). Put u, l, -4 in descending order.\nAnswer: l, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1800816 days?\nAnswer: 15559050.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2 - 9)\/(22 - 24). What is the third derivative of -98*a**2 + 241*a**q - 4*a**5 + a**5 - 241*a**4 wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -24420?\nAnswer: 24410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65954690 and 688.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -229.42483 rounded to 0 decimal places?\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2. Suppose 0 = 38*c - 39*c. Let z(d) be the third derivative of 0*d - d**2 + 0*d**3 + c - 1\/12*d**4. What is j(z(q))?\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2183, -2128, -2073?\n\"Answer: 55*p - 2238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {z: 7, d: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 56*z**2 - 115*z - 65. What is b(58)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = s + 3*i + 12, -5*s = 5*i - 30. Suppose s*p - 1075 = -60. List the prime factors of p.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2837 + -2715.1. What is g rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 645, 2780, 6333, 11292, 17645, 25380, 34485, 44948?\n\"Answer: -2*t**3 + 721*t**2 - 14*t - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(144\/(-16)))\/(7\/2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 821 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-4)\/(-20)) + -2. Suppose i*j - 1739 = 2911. What is j rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3083123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 620826\nAnswer: -310413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.018, 3.9, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**3\/6 + z. Let j be m(3). What is the second derivative of -3*w**3 + 5 + j*w - 5 - w**3 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (3\/(-9) + 6\/(-9)). Suppose -5*h + 2875 = k*u, 0 = 4*h - u - 1130 - 1183. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 186 - 95 = 3*a + 92, -4*a = -5*p + 6*p - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 2278506\nAnswer: -455701.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**7\/840 + 41*n**4\/24 - 22*n**3\/3 - 290*n. Let y(q) be the second derivative of f(q). Differentiate y(v) wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -274 or -276?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.395324 to one dp.\nAnswer: 31.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rop when three letters picked without replacement from ordprcdcpocdpdrpcdpc.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59672.\nAnswer: 2, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -387644?\nAnswer: -387640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1508, 3013, 4468, 5849, 7132, 8293, 9308?\nAnswer: 10153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*f - 455 + 378 = -q, 0 = 6*f + 2*q + 3 - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809871886?\nAnswer: 2, 404935943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -3. Let t(b) = 245*b - 242*b + 11 + b**3 + 5*b**2 - 7. Determine t(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000098942 to seven dps.\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*l, a - 1 = -14*l + 13*l. Solve -a*k + 8 = -0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 0)*(0*q + q + q + 3*q - 5*q + 3*q + 4*q + 2*q - 4*q + 4*q + 0*q - 5*q + (3 - 1 + 0)*(0 + 0 + 2*q) + q + 0*q + q) + 0*q + q + q)*(1 - 50 - 34).\nAnswer: 2324*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 900 = x, -4*x + 7249 = -4*i + 3433. What is the highest common divisor of x and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/8 + 2282263*q**2\/4 - 5208724401169*q\/8.\nAnswer: -q*(q - 2282263)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-8))\/((-2)\/(-8)). Let k(i) = i + 2*i + 0*i - g*i. Let c(y) = 3*y. Give k(c(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7130 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 174.45 - 176. Let b = q - -1.65. Let y = 0.1 - 0.2. What is the smallest value in y, b, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 2:47 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3633*l - 1358748. Determine k(-374).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2. Let k(h) = -6*h - 859*h**2 + 6*h + 1006*h**2. What is k(n(l))?\nAnswer: 2352*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 1:24 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1425) - sqrt(1425) - sqrt(1425))*-3)\/(-2*(sqrt(243) + (-1*sqrt(243) + sqrt(243) - sqrt(243)) + sqrt(243))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -84005?\nAnswer: -83997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95421224 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 180911, 180936, 180989, 181082, 181227, 181436, 181721, 182094?\n\"Answer: 2*y**3 + 2*y**2 + 5*y + 180902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 44. Suppose n = 3*w - 6. Suppose 0 = 4*o - o + 12. Sort o, w, -1 in decreasing order.\nAnswer: w, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 155 = -4*s, -5*s - 31 = -t - 3*s. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00740599363 to 4 dps.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -134 (b) 6\/1595 (c) 1.9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:55 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65096327\/68259 + 2\/22753. Let i = l - 20309\/21. Is i < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 35*m**2 + 19*m + 671. Give q(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(4 + 0 - 1)*(-42639*q + 9*q**3 + 15*q**4 + 42639*q).\nAnswer: -90*q**4 - 54*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7054647 (base 9) to base 14.\nAnswer: 6dacdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -20112?\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 17. Let q be g\/6*16\/3. Let o = -5 - q. Solve -o + 6 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2954 divide 982801708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5844 (base 13) to base 11.\nAnswer: -9347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z. Let d(j) = -3*j - 2*j + 2*j. Let u(l) = 13*d(l) + 6*p(l). Let q(v) = -v + 725*v**2 + v - 726*v**2. What is q(u(k))?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 3*z**2 + 5*z**2 - z**3 - z**2 + 26 + 0*z**3. Let p be y(0). Solve 5*n - i = -p, 2*i - 12 = 2*n - 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 282632, 282763, 282982, 283289?\n\"Answer: 44*l**2 - l + 282589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 122?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 635*z**4 + 619*z - 619*z + (3*z**3 + 0*z**3 - 5*z**3)*(3*z - 3*z - z) as v + t*z**4 + r*z + q*z**3 + f*z**2 and give t.\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40181, -78116, -116051, -153986, -191921, -229856?\n\"Answer: -37935*v - 2246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**5 + 2840*w**4 - 535968*w**3 + 10950664*w**2 + 64910692*w - 1366610784 = 0.\nAnswer: -11, 11, 24, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3*b + 12 = 0, -3*z - 2*b = -5*z - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2061 - 2066. What is the smallest value in -0.3, -0.08, w, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 18*u + 4. Let v be i(18). Suppose v*h = s - 77, -3*h - 3*s - 5 = 64. What is the units digit of ((-12)\/h - 59\/15)*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.7 + -8. Let j be (-671)\/(-935) + (-9)\/15 + 4\/(-34). Which is the second smallest value? (a) q (b) 18 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/18 - -337\/45. Calculate the common denominator of k and 101\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -245*c**2 + 509*c - 412. Determine u(1).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1 (c) 14.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8987 and 836.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -313, -626, -939, -1252, -1565?\n\"Answer: -313*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37973998 is divided by 221.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-41899)\/(-858) - 47)*(-2)\/(-22)*58\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6 - f + 2*f - 2*f. Let t = -9 + 3. Let p be i(t). What is the biggest value in -6, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4)*251\/1506 - (-2)\/3. Let s(k) be the first derivative of -45\/8*k**2 + y*k**3 + 0*k + 22. Factor s(j).\nAnswer: 5*j*(j - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/11, 136, 1 in increasing order.\nAnswer: 1\/11, 0.3, 1, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 20351508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -12*l - 15. Let u(n) = -436*n. What is u(c(d))?\nAnswer: 5232*d + 6540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 196d6d - -54?\nAnswer: 196dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 11*t - 10. Let i be m(-7). Let u(v) = -v**2 + 5*v + 32. Let r be u(i). Which is smaller: r or -33?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35*1.6\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 7 + (-2 - -2). Suppose -x*n + 5 = -20. What is the highest common factor of 2 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 111084?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-m + 2*m + m)*(-1 + 2 + 14).\nAnswer: -60*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -16. Let o(i) = -i**3 - 9*i**2 - 4*i - 5. Let t be o(-4). Let x = 140 - t. What is the highest common factor of c and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-33 + 50) - -34\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -878339885.31?\nAnswer: 878339887.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 172*h**3\/5 + 1762*h**2\/5 + 944*h + 210.\nAnswer: 2*(h + 5)**2*(86*h + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times 5.9779?\nAnswer: 8.36906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 = -4, 5*m + 4 = -f. Suppose 112*n - 103*n - 486 = 0. Calculate the common denominator of 282\/f*(4 + (-192)\/n) and 73\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -61504029585430.\nAnswer: -61504029585430.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -30*x**3 - 57*x**2 - 8*x + 9. Calculate v(-3).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 1824 + 6360. Let b be (k\/162)\/(4\/798). Which is bigger: 930 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12962259 rounded to the nearest one hundred thousand?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -2, 15928662 in decreasing order.\nAnswer: 15928662, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*v - 685 = -49*v. What is the remainder when v is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3363793*f**2 + 2830660*f.\nAnswer: -6727586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035923 to 4 decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 - 5)*(-50*g - 6 + 6).\nAnswer: -150*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*n = 40, 4*n - 3*n - 53 = -3*z. Suppose -18*i + z*i = -3900. Round i to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 3*c - 6*c - 2)*(3*c**2 - 2*c**2 + 3*c**2) - 55*c**2 + 55*c**2 + 2 + c**3 to the form p*c + r*c**3 + j*c**2 + a and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*b - 37105 = -33*b - 67*b - 494*b for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 3*h - 4. Let n be d(5). Let x be n\/10 - (-21)\/(-35). Let g be (-4)\/2 - -4 - x. Are -2\/17 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 13 - 11 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 146110760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3 - 5. Suppose 0 = 2*v - 6, 4*i + 0*v = -5*v + 27. Is z > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, -13, -86, -219, -430?\n\"Answer: -3*f**3 - 3*f**2 - f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/62568 and -119\/9168.\nAnswer: 23900976","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-18))\/(5\/(-90)) + 1179. Let p = t + 364. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-3 - -8) + -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 5 in decreasing order.\nAnswer: 8, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016306318756 to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28429 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/12 + 29*f**5\/15 - 1585*f**3\/3 - 3*f**2 - 4*f + 18. Differentiate b(k) wrt k.\nAnswer: -30*k**2 + 232*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/131?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 285 and 35?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*f + 13*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65921488 by 3838.\nAnswer: 17176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.1, -6, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8617841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 18. Put -4, 2, b in descending order.\nAnswer: 2, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439260 greater than or equal to 439332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068 divided by -4?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 223156 + 0?\nAnswer: 223156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -24*i - 141. What is the smallest common multiple of m(-13) and 99?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-16)*20\/120*(-2)\/6)\/4.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 8 = -0*t - 2*u, -3*u - 12 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 78*s + 12. Let i be w(-3). Let j = i + 668\/3. Which is the fourth biggest value? (a) 1\/2 (b) j (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 86390*s**2 - 373161605*s.\nAnswer: -5*s*(s + 8639)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6) + (6 - (26 + -6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 6. What is w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1110001101?\nAnswer: 1110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -3*p + 2260 - 4528 + 2224, -m - 8*p = 92 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 7:41 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 7592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, 2, -4, -2, 1, 3 in increasing order.\nAnswer: -131, -4, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -4 - 2 - (-8 + 10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - ((-30 - 3) + 19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, p: 1, t: 2, k: 4, o: 2}. What is prob of sequence tot?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let l be a(-2). Let g(v) = -l*v**3 + 7 - 3*v**2 - 3 + 11*v**2 + 8*v + 3*v**3. Calculate g(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**6\/24 - b**4\/12 - b**3\/6 + 14*b**2. Suppose -4 = 5*n - n. What is g(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 11. Let w(x) = -x**3 + 7*x**2 - 8*x - 10. Let j be w(5). Determine g(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a. Let y(s) = 3*s. Let p(t) = 4*c(t) + 7*y(t). Determine p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11543, -46250, -104089, -185060, -289163?\n\"Answer: -11566*v**2 - 9*v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4781237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 divided by -482301?\nAnswer: -307\/482301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-24))\/(15*176\/(-320))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 9*m**2 + 11*m + 8. Suppose 9*q = -4*q - 130. Let u be f(q). Let g = 0 + -5. What is the fourth biggest value in g, 3, u, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -641?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -20129723*u. Let c(p) = 18*p**2. Determine c(d(z)).\nAnswer: 7293703465021122*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9 - w**3 + 3*w**2 - 14*w + 9*w**2 - w**2. Let f be m(6). Let y = -103 + f. Which is the fourth biggest value? (a) -2 (b) y (c) 1\/5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -85 and -8.89.\nAnswer: 755.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from fyfffffffffffff.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706 is divided by 130?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101101111110110 - -11?\nAnswer: -11101101111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.2, -6\/11 in decreasing order.\nAnswer: 0.2, -0.2, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**6\/36 + 4*j**5\/15 + j**4\/3 - 31*j**3\/3 + 147*j**2\/4 - 45*j - 2497. Determine g so that i(g) = 0.\nAnswer: -5, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -50351.\nAnswer: 5035.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-2\/13)*n\/(n**(-9)\/n) assuming n is positive.\nAnswer: n**(154\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3 - 145810*l**2 - 1749828*l - 5249592 = 0. What is l?\nAnswer: -6, 145822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 92. Let v(n) be the first derivative of 1\/2*n**2 - 6*n - 13. What is v(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60847?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 15232?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (9 - -4)) + -46 + 0.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 560419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, v: 1, i: 2, b: 1, j: 5}. Give prob of sequence jb.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 j, and 1 m when three letters picked without replacement from {j: 4, i: 1, g: 3, m: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12*n**3 + 42*n**2 + 17*n. Let z(v) = 2*v**3 + 7*v**2 + 3*v. What is -6*w(o) + 34*z(o)?\nAnswer: -4*o**3 - 14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/7)*(b**(-5\/3)\/b*b)\/b*(b*(b**2*b)\/b*b)\/b*(b\/b**0)\/b assuming b is positive.\nAnswer: b**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 2)*-1)**2 + -4.\nAnswer: 24*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 3\/2, -0.05, 5466, 6?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(sqrt(65) + -4*(sqrt(65) - ((1*sqrt(65) - sqrt(65)) + sqrt(65))) - sqrt(65))*6)\/(-6*sqrt(20)*2 - sqrt(2000)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.9? (a) -12 (b) 2 (c) -3 (d) 0.009 (e) 11\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.868929nm in meters?\nAnswer: 0.000000000868929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.93? (a) 5.8 (b) -1.2 (c) 6 (d) 0.4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1 - 9*g**2 - 75*g**2 + 69*g**2 - 5*g. Let j(u) = 7*u**2 + 3*u - 1. Determine 5*j(k) + 3*l(k).\nAnswer: -10*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*(sqrt(52)\/sqrt(4)*1 + ((-1 + sqrt(1300) - sqrt(1300)) + sqrt(1300) - sqrt(1300)))*5*3)**2 + -3)*4.\nAnswer: -7200*sqrt(13) + 50388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 + -28 - (27 + 0)) + (25 + -3 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 16. Let l = n - 11. Suppose 2*i + 3*i = l. Are i and -1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -89482*w - 805342. Give b(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/133 and -19\/168.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -564, -598, -642, -696, -760, -834, -918?\n\"Answer: -5*t**2 - 19*t - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100111111101101001101 (base 2) in base 10?\nAnswer: 3406669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 355 by -18.\nAnswer: -355\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 101814121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33\/16? (a) -3\/7 (b) 0 (c) 348\/5 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 9:22 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**3\/3 - 4*o**2 + 13*o - 3. Let l be j(-9). Let w(s) = 3*s + 3. What is w(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10413340 (base 6) to base 5.\nAnswer: 40004431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 11*v + 5. What is the smallest common multiple of d(7) and 1?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2652 + 2849 + 2*h - 10213 + 2813 + 2718.\nAnswer: 2*h + 819","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 621*m**2. Let v(p) = 12495*p. Give v(s(h)).\nAnswer: 7759395*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 209442 and 40638?\nAnswer: 2722746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14*21\/(-735)*-45\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220849446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 97*b - 1385. Determine n(79).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/137903, -4.7 in increasing order.\nAnswer: -5, -4.7, 2\/137903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.41 to zero decimal places.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 6*k - 115 = 0. Let y(h) = -2*h**3 + 10*h**2 + 7*h + 1. Is 12 a factor of y(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -577100990 - -0.02.\nAnswer: -577100989.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 811038.9ng in tonnes?\nAnswer: 0.0000000008110389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 38788, -3.3 in decreasing order.\nAnswer: 38788, 3, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -190613*u**2 - 5*u + 2. Let t be i(-7). What is t rounded to the nearest one hundred thousand?\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 3 + 3)*(j**2 - j**2 + 2*j**2) - 81*j**2 + 64*j**2 - 46*j**2 to y*j**2 + h + p*j and give y.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = 2*v + 70. Let g be -1*(v\/(-10) + (-3)\/2). Is -3\/23 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*f + 88*f = -2314 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zigv when four letters picked without replacement from {i: 4, v: 6, z: 6, g: 3}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*d - 151*d - 22 = 4*u - 302*d, 0 = -2*d + 26 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 8 + 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -0.4, -31?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.25 + -2.75. What is the nearest to -0.1 in r, -20, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -88875 + 16b?\nAnswer: -88707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2060)\/618)\/((-10)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1023550)\/(-13475) + ((-48)\/448)\/((-21)\/8).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 807655.5l to millilitres.\nAnswer: 807655500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + 45. List the prime factors of v.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37.3 - -42. Let t = m + -2.5. Let z = t - 2.20000095. Round z to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = -4*m, 5*m + 0 - 2 = -h. Suppose m = -3*i - i + 196. Does 13 divide i - (-2 - -3)*0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38.2 - -63.2. Let d = -0.0088 + -24.6912. Let m = d + s. What is the third biggest value in m, 3, 5, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -1, -2, -0.02, -34?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10822401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 2*k**2 + 4*k**2)*((6*k**2 + 4*k**2 - 6*k**2)*(2*k + 2*k - 2*k) + 0*k + 0*k - k**3).\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p*p\/p**(2\/41)*p*p)\/p))**22*(p**(4\/3))**(-18\/11))**(-45) assuming p is positive.\nAnswer: p**(1361970\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -9, -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Let n be (a\/2)\/(1\/2). Let u be n\/12 + (-22)\/(-8). Solve y = -u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -60*g + 12*g. Let d(n) = 3*n**2 + 8*n - 5. Calculate d(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178 (base 13) to base 3.\nAnswer: 100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + j + 13 = 4*b, b + 5 = 5*j. Suppose -b*h = 15, -3*n + n + 1109 = -5*h. Suppose 10653 + n = -2*f. Round f to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.5, 0.1, -2964 in descending order.\nAnswer: 0.5, 1\/3, 0.1, -2964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*b**3 - 8*b + 19 wrt b?\nAnswer: -39*b**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 874 = 950. Suppose 0 = -3*u - 2*u + 270. What is the remainder when u is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119894393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 minus 20.1?\nAnswer: -20.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.42 - 0.12. Sort 1, -0.5, 5\/3, n.\nAnswer: -0.5, n, 1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 11*r**2 - r - 13. Let p be a(-11). Calculate the common denominator of -89\/16 and (p + 14)*(-3)\/(-66).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/110*(-285)\/(-342)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 1:47 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 5:57 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2117382 divided by 4?\nAnswer: 1058691\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -33 + 28, 4*b - 5*z + 21 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00722967 rounded to 4 decimal places?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29526, 0, 31, -71 in descending order.\nAnswer: 29526, 31, 0, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 18. Determine o(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:19 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4237555 = 4*i - 11042397, 3*i - 11459901 = -4*m. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -12. Solve g*z = 3*h, -5*h + 0*h = 20 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 79?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b + 3*b**2 + 11 - 4*b**2 + 2 + 4. Let s(p) = 4*p - 21. Let m be s(7). Let n be y(m). Solve 5*f = -2*k + 25, 0*k = n*k + 2*f - 21 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -76*y - 4. Let p be m(-3). Suppose p = -4*s + 5*s. Suppose -4*w = -s - 228. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + g**2 + (-75*g - 191*g - 10*g)*(0*g + 0*g + 3*g).\nAnswer: -827*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*f**3 + a**3 - 30*a*f - 99*f**3 wrt f.\nAnswer: 12*a**3*f - 594*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -784 - -424. What is i rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57502.38289 - 0.1\nAnswer: -57502.48289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/4 + 1071*y**2\/4 + 3*y\/4 - 1071\/4.\nAnswer: -3*(y - 357)*(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*o - 268*o - 45*o + 401*o.\nAnswer: -23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + (-31767)\/12)*-36. Let x = r - 135364. Let y = x - 129865. What is y rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8\/7)\/(j*j**(3\/2)*j)*j\/(j\/j**(-2\/11)*j)*j\/(j**(-4\/5)\/j)*(j**5*j*j**(-2\/3))**32 assuming j is positive.\nAnswer: j**(387253\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - ((-264)\/30 + 5)) + (-129948)\/(-7140)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29472674*a**3 - 58945809*a**3 + 29473096*a**3.\nAnswer: -39*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 30. Suppose 10 = h*k - 0. Let m be (k\/(-5))\/(1\/10). What is the second biggest value in 1\/2, m, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 575778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*a + 1 + (0 + 0 + 1)*(2096 - 2096 + 45*a) to s + v*a and give v.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:05 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46013, 45997, 45983, 45971, 45961, 45953, 45947?\nAnswer: 45943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y - 4*y)*(-42*y**2 - 20963 + 20963)*(4 - 3 + 1).\nAnswer: 168*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 888*l - 6 = 886*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**7\/4725 + o**6\/1080 - o**5\/900 + 25*o**4\/12 + 12*o. Let f(b) be the third derivative of t(b). Factor f(k).\nAnswer: -2*(k - 1)*(4*k - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 + 0 + -3 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.4, 234, 7, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031946334 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 127 = -5*m + 947, 5*m + 4*l = 739. Put 10, -1, -0.4, m, 1\/8 in ascending order.\nAnswer: -1, -0.4, 1\/8, 10, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18, -420.\nAnswer: -420, -18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*v + 171 + 623 = -156. Suppose 5*j - 5 - 20 = 5*o, -19 = -2*j + 5*o. Suppose -j*k - 14 - 8 = 0. Which is bigger: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7*23\/((-1380)\/18060)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -58*a**3 - 2*a**2 + 3*a + 7. What are the prime factors of k(-2)?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102.0612 hours to days.\nAnswer: 4.25255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386853922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (4 + 20 + -18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 - 7*q**4 + 7*q**4 + q**5 + (2*q**2 - 6*q**2 + 2*q**2)*(-q**3 + 0*q**3 + 2*q**3).\nAnswer: -q**5 - q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {n: 3, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -350372564 take away -0.5135?\nAnswer: -350372563.4865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 316 (b) -0.3 (c) 4 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3087070 >= -3087072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -527*q + 576*q - 392 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(50)\/sqrt(5)))**2 + sqrt(2) + sqrt(2))*-4 + (-1*sqrt(8) + sqrt(2) - -2*sqrt(8)\/sqrt(4))**2.\nAnswer: -8*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4473, 4474, 4475, 4476, 4477?\nAnswer: 4478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -129782 and 0.05.\nAnswer: -129781.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 - 41 = 10*n, 26*n - 210 + 244 = 3*a - 333 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1362068368 to the nearest integer?\nAnswer: 36906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/906 and 23\/14.\nAnswer: 6342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2900*j + 68. Let b(s) = -411*s + 10. What is -20*b(f) + 3*u(f)?\nAnswer: -480*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*j - 236 + 62, -3*j = -5*v + 261. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/17))**(2\/51))**(-7)\/(((k**(-1)*k*k*k)\/k)**27\/((k*k*k**(-6\/11))\/(k**(-5)*k*k))) assuming k is positive.\nAnswer: k**(-215324\/9537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 10. Let h be g(7). Calculate the greatest common factor of h and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516167 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2273644 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000209657522 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**4 - 288970*x**3 - 7*x**2 - 13112758*x?\nAnswer: -24*x**2 - 1733820*x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.94 + 1.9. Let y = i + -0.16. Let n be 1\/(-3) - 9\/(-21). What is the closest to 1\/5 in n, y, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcr when three letters picked without replacement from ccrcrrrrrbbcrrbrbrb?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from zccczccccccccczczc?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1502 - 1502. Solve 2*u - k = 0, 3*k + k = j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1707*c**2 - 1576 wrt c?\nAnswer: -3414*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 12) to base 5\nAnswer: -23404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3196440389?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.0105 + -4.2475. What is t rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-14)\/56*20)*14\/(-28)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 31?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 - 1506*f\/5 + 45356\/5.\nAnswer: -2*(f - 29)*(f + 782)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 194, 204, 214, 224, 234?\n\"Answer: 10*k + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(3783\/(-194)) - (9\/(-6) + 19\/(-18))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15559495 to the power of 1\/2, to the nearest integer?\nAnswer: 3945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 7:19 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(4 - (-12)\/(-3)). Let w be (-33)\/(-108) - (7 + (-4 - (-93)\/(-27))). Suppose -w*y**2 + q*y + 3\/4*y**3 + 0 = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 514923?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 658*k**2 + 43725*k.\nAnswer: k*(k - 583)*(k - 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/12 + 3*f**3\/2 + 2*f**2 - 7*f. Let a be z(9). Find the second derivative of -a*w**4 + 3*w + 3*w**4 - 7*w**4 wrt w.\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 492743386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -2256.08.\nAnswer: -225.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23975 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 20637728.1ns?\nAnswer: 0.00000023886259375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**3 + 5*r**3 - 6*r**2 - r**3 - 2*r**3 wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 70\/19?\nAnswer: 70\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -90059, -90058, -90057, -90056, -90055, -90054?\n\"Answer: z - 90060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93307.96 centimeters to kilometers.\nAnswer: 0.9330796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-1)\/(3\/21). Let m be -12*n\/(-1) + 2. Suppose 2*p - m = -3*p. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1513 or 4537\/3?\nAnswer: 1513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52104 or -52062?\nAnswer: -52104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/((i\/(((i**3*i*i)\/i)\/i)*i)\/i)*i)*i)\/i)\/i)\/i**(-7\/4) assuming i is positive.\nAnswer: i**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v + 7938 - 3359 - 4579.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {b: 1, g: 1, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -2 - sqrt(3)) + -2)*-5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(114) + (sqrt(114) - (sqrt(114) - 2*sqrt(114))*-4) + sqrt(114) + sqrt(114) + (sqrt(114) + sqrt(114)*1)*-6)\/(5*sqrt(384)*2).\nAnswer: -3*sqrt(19)\/20 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 562 - 564. What is the nearest to i in -2, -5, 4, -0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 0.3 (c) 42076 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 11 (c) -5 (d) -0.3 (e) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i - 493 = 10112. Let s = -614 - i. What are the prime factors of s?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/45, 0, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-2*d**3 - d**3 + d**3).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 11*t**2 - 11*t - 7. Give a(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - m + 2. Let n be z(2). Suppose v + 36 = n*v. What is the greatest common divisor of 108 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/16 - 0\/(-2). Let z(y) be the first derivative of 1\/3*y**3 + 7*y - h + 5\/2*y**2. Give z(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Let r be (-144)\/(-112)*(-7)\/(-3). Suppose x*l - 4*s - 14 = 0, l - r*s - 2 = 7. Which is the nearest to -0.2? (a) l (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 5:19 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 4598.\nAnswer: 9196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/126 + 0 - 716\/3696 and 169\/924.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v**2 + 4*v + 4. Let u(f) = -2*f**2 + 9*f + 73 - 64 - 16*f**2. What is -9*a(z) + 4*u(z)?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-2)\/(-1))*2\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126693 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 - -142. Calculate the remainder when w is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -1083*i + 1082*i. Let p be (-3)\/9 + 458\/6. Let o = p + i. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -71*t**3 + 79*t - 5. Let d = 116 - 121. Let h(g) = 36*g**3 - 39*g + 2. Let f(a) = d*h(a) - 2*s(a). Find the second derivative of f(p) wrt p.\nAnswer: -228*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-18)*(-72)\/(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 516, 964, 1412, 1860, 2308?\n\"Answer: 448*u + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292348812 divided by -6.\nAnswer: 48724802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -18, -1, 32, 87, 170, 287?\n\"Answer: t**3 - t**2 + 3*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 3*l**2 + 2*l**2 + (-2*l**2 + 2*l**2 - l**2)*(-3 + 4 - 2))*(9*l**2 - 29 + 2*l + 29).\nAnswer: -18*l**4 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4341000 to the nearest 100000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.048032 + 0.00696. Let d = -1.2 + 1.255. Let c = d - g. Round c to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntntntnnnnnnncncntcn. Give prob of picking 3 c.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 + -2.2. Which is the biggest value? (a) p (b) -0.4 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347938 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/468877 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.08 (c) 0.2 (d) -13 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -665*g**2 - 551*g**2 - 437*g**2 + 284*g**2 - 2*g - 438*g**2 as c*g**2 + m + u*g and give c.\nAnswer: -1807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 7. Let g be m(10). Suppose -2*k = 5*b - 82 - 49, -2*k + 77 = 3*b. Suppose -4*u + b = 3*t, 8 = -4*u + t + 3*t. Solve -g*w - u = 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-1 - -2)*(-7 - -6). Solve 0 = -r*w + 5*w + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**4\/9 - 13*v**3\/9 + 46*v**2\/9 - 16*v\/3 = 0.\nAnswer: 0, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 22*p**2 - 2. Let v(d) = -6*d**2 - 4*d + 31. Determine v(o(f)).\nAnswer: -2904*f**4 + 440*f**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 11*v + 9. Let s be g(-11). Let n be 1*7\/3*s. Suppose a + n = 5*a + c, -21 = a - 5*c. Solve -a*m + 45 = 5*d, 4*m - 5 = 5*d - 2*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 2*w**4\/3 - 2*w**3\/3 + 8*w - 2. Let f(a) be the first derivative of m(a). Find the second derivative of f(u) wrt u.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.94 + -0.06. Let y = -1.812 - 0.188. Let a = 0.7 + -3.7. What is the second smallest value in y, a, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g**3 - 6*g**2 - 17. Let q(o) = -10*o**3 + 5*o**2 + 18. What is -6*q(a) - 5*x(a)?\nAnswer: 15*a**3 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v + 9. Let l(n) = -4 + n**3 - n + 12*n**2 + 14*n**2 - 24*n**2. Give l(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 414 (b) 0 (c) -9 (d) 1\/5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1511 + 1764. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*h*q**3 - 3*h*q**2 - h*q - 8*h + 3*q**3 - 419*q**2 - 229*q - 6 wrt q.\nAnswer: -132*h*q - 6*h + 18*q - 838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -2, -1, -438, -6\/11 in decreasing order.\nAnswer: -2\/13, -6\/11, -1, -2, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*h**5\/4 - 111*h**4\/2 - 282*h**3 - 63*h**2\/2 + 1119*h\/4 + 87 = 0. Calculate h.\nAnswer: -4, -1, -1\/3, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -5 + 2 - -15) + 24 + -20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*d - 2*d**2 + 10*d**4 - 18*d - 14*d - 1 + 53*d to the form n*d**4 + l*d**3 + y*d**2 + a*d + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - b - 1. Let t(c) = -4*c**2 - 5*c + 48. What is 5*h(l) - t(l)?\nAnswer: 9*l**2 - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -16\/3*c**2 + 8\/3*c + 0 - 2\/3*c**4 + 10\/3*c**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r**3 + 6246*r**4 - 2 - r + 1 - 2*r**3 - 6242*r**4 to m*r**2 + i*r**3 + a*r + d + s*r**4 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15231366 divided by -6?\nAnswer: 2538561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from {r: 2, h: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35030\/(-52545)*(89 - -1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12611.\nAnswer: 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**3\/3 - w. Let h(i) = 12 + 2*i + 4*i - 5. Let n(o) = -3*o - 3. Let x(f) = 6*h(f) + 14*n(f). What is x(l(d))?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*t = 263*t + 1620 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1900) + (5 + sqrt(1900) - sqrt(1900)))*1*6 - ((sqrt(1900) + 0)*5 + sqrt(1900) - (sqrt(1900) - sqrt(1900)*-2)*-4)) + 2)**2.\nAnswer: -7680*sqrt(19) + 274624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1199840461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12607166?\nAnswer: 2, 11, 13, 17, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 813999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1243878 and -35\/3282?\nAnswer: 1243878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 7*j**2 + 3*j. Let s be k(8). Let w = 3 - 0. Suppose -s = -w*b - b. What is the lowest common multiple of 20 and b?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i + 2*i + 2 + 5*i - 3*i + 6*i - i + (1 + 4 - 3)*(-4*i + 4*i + i) + 1 + i - 1 to the form k*i + m and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2423, -2437, -2461, -2495, -2539?\nAnswer: -2593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*q + 1. Let z be (-1878)\/9*(27 - q). Let y = -56416\/9 - z. Find the common denominator of -36\/19 and y.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724967.2um to nanometers.\nAnswer: 724967200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/72319461?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18122960201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5 - 1020*x**4 - 18953*x**3 + 66062*x**2 - 4092*x - 88088 = 0.\nAnswer: -1001, -22, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)*(n\/n**(3\/5))\/n)\/(n**6*n*n\/(n\/(n\/(n*n**(-2))))*n*n) assuming n is positive.\nAnswer: n**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 + -0.05. Let z = i + -3.04. Which is the nearest to -0.1? (a) z (b) -5 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, w: 1, e: 3, x: 1, h: 6}. What is prob of picking 2 h, 1 r, and 1 e?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 780 and 845.\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9212?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 298187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2403797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006927362 to six dps.\nAnswer: -0.006927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3944225\/12 or -328686?\nAnswer: -328686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20541*b**4 - 33601*b wrt b?\nAnswer: 246492*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/(-28) + (-2756)\/(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/45 and (10\/35)\/((-1080)\/8757).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2301000 (base 4) in base 10?\nAnswer: -11328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/140 and 3\/530.\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 653 and 30691?\nAnswer: 30691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 160 in descending order.\nAnswer: 160, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 758*k**5 - 18*k**2 + 27 wrt k.\nAnswer: 45480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4477 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -392 times -3578?\nAnswer: 1402576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34\/221 - (1935\/(-13) - 0)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h + 5. Let a be l(4). Is 18 a factor of (a + (-6)\/2)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2 + 5\/(-3)). Suppose -2*w - 15 = l*w. Let y = 20 - 21. Put 1, y, w in increasing order.\nAnswer: w, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -7*x**5\/15 - 19*x**3\/3 + 46*x**2. Find the first derivative of b(l) wrt l.\nAnswer: -56*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -1\/10*u**5 + 0*u**3 - 29*u - 15\/2*u**2 + 6*u**4 + 0. Find the first derivative of k(w) wrt w.\nAnswer: -6*w**2 + 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9561 - -0.7561. What is the smallest value in -3, t, 60, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211732 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 478985 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i - 8 = 0. Suppose 8*o - 11 = -0 - 35. Put i, -63, o in increasing order.\nAnswer: -63, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 163589888 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 979835060753\nAnswer: -979835060753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -2 (b) -2\/5 (c) -0.1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*(-3732)\/(-9330).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 22*a - 24 = -4*j, a - 19 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*t - 59*t = 55*t - 852. Calculate the remainder when 6814 is divided by t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000210645 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/33 and -99\/10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -427\/911247 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**6 - 23931*q**5 - 2*q**2 + 20*q + 91 wrt q.\nAnswer: 240*q**3 - 1435860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 3*x + 5*x)*(x**2 - x**2 - x**2) + x**2 - x**3 - x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5652 (base 12) in base 7?\nAnswer: 36614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (-1 + sqrt(98))*-5 - (-1 + sqrt(98) + 1))**2.\nAnswer: -350*sqrt(2) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 g when three letters picked without replacement from vvaaagavvavava?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3*z = -18, -4*o = -z + 21 - 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/9)*(w\/((w**6*w)\/w))\/w*w\/w**(-8\/3)*w**(8\/7) assuming w is positive.\nAnswer: w**(-89\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1534)\/(-767)*(-9)\/(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - h + 1)*(1 + 4 - 6) + 3*h - 3*h + 2*h + (-4 - 1 + 4)*(-h + 0*h - h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1297965459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-105 - 37 + 60)*(3*x - 3*x - 2*x)*(-4 - 3 + 5) to j + l*x and give l.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 733595.2 millimeters?\nAnswer: 733595200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-257*b**2 + 188*b - 188*b)*(4 + 0 - 5)*(-2*b + 4*b - 3*b).\nAnswer: -257*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*n = 529 + 718 + 667 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 14279*y. Let g(i) = i**2. Determine g(j(v)).\nAnswer: 203889841*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -306 divided by 102\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -348 and -7.4657?\nAnswer: 2598.0636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**2 + 130*m + 128*m + 120*m - 378*m. Let a(v) be the third derivative of v**5\/15 + v**2. Calculate t(a(p)).\nAnswer: -80*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - ((9 - 4) + 0). Solve 0*q + 5*q = g*w - 22, -2*q + 8 = 3*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/10)*l**(-1\/34)*(l*l*l\/(l\/(l**(-8)*l))*l)\/l**(5\/7) assuming l is positive.\nAnswer: l**(-2882\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let r be k\/4*(-36)\/(-6). Find the third derivative of -r*p**5 - p**4 + 0*p**2 + p**4 + p**2 wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7))**(-2\/17)*(((((s\/s**(1\/3))\/s)\/s)\/s)\/s)**(1\/32)*(s\/(s**(-2)\/s)*s*s**1*s*s)**(3\/17) assuming s is positive.\nAnswer: s**(7661\/5712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - u - 3*u)*(-u + 1 - 1) + (0 + 0 - 2*u)*(2*u + u + 0*u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + 73. Let u be 102\/m + 51\/119. Solve 0 = -v + 6*v + u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -3031 - -3034. Let g(f) = 5*f. Let r be g(1). Suppose 12 = 5*c + r*n - 3, -4*c - d*n = -11. What is the smallest value in c, -1, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-2)\/2 - -2). Let b(v) be the second derivative of 1\/3*v**4 + 0*v**3 + 0 - v + 0*v**2. What is b(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 406 + -2?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**3\/3 - f**2 - 21300*f - 6. Let i be j(0). What is i rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3188191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 12) to base 13.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 3*q - 2*q + 1.\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z + 39 = 17 + 22 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36, -18, -168, -462, -948, -1674?\n\"Answer: -8*v**3 + 2*v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 20*h - 62. Let f be t(16). Solve -3*j + 0*j = y + f, 0 = -5*j + 2*y - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*((-180)\/16)\/(-9). Let b(q) = -q**3 - 7*q**2 + 9*q + 10. Let a be b(-8). Suppose 3*g = 2*h + 5 + 5, -a*g = -5*h - 3. Solve i*n = 4*n - g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, p: 3}. Give prob of picking 3 m and 1 p.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -129 + 28 + 30 + 53 + 21 + q + 761*q**3 as t*q**2 + m + w*q**3 + u*q and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49705296 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15154 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: -7831.5 + -369\nAnswer: -8200.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5*(3 + (-3)\/1 - -5) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/5)\/(4 - (-28525)\/(-7135)). Let s = 285 - q. Let x be (-6)\/(-4) - (-2)\/(-2). What is the second biggest value in 0, x, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17611, -35226, -52841?\n\"Answer: -17615*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 913207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) - (-9)\/(-2). Let p = -0.103 + 0.463. Let j = -1.36 + p. Are q and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -348.5 + 363. Let u = 14.2 - z. Which is the smallest value? (a) u (b) 4\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10803 divided by 3\nAnswer: 3601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1248*u**2*v + u**2 + 2*u + 41*v - 25945 wrt v.\nAnswer: 1248*u**2 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -53. Let r be (3*16\/20)\/((-3)\/30). Let c = r + o. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 + 119200376*j\/5 - 1776091204817672\/5.\nAnswer: -2*(j - 29800094)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 7, -1, -3 in descending order.\nAnswer: 7, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-19 - -29) - -18) + -2 + 38.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 greater than -7.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 395 - 391. Suppose v*i + 3*w = -7, -3*w = -2*i - 5*w - 4. Is i <= -5\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618095 is divided by 2257.\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -544335, -10, 1\/7 in ascending order.\nAnswer: -544335, -10, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 579488 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jijj when four letters picked without replacement from {i: 1, j: 4, m: 1, n: 2, b: 8}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90159*k**2*m**2 + 3*k**2*m - k**2 + 1165*k*m - 49*k - 46*m**4 wrt m.\nAnswer: 180318*k**2 - 552*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - c + 2)*(c**2 - 6*c**2 + 2*c**2)*(23 - 41 + 47) in the form j*c**3 + v*c + k*c**2 + i and give j.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - -0.4. Let w = -2 + 2. Which is the nearest to x? (a) -3\/5 (b) 1\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -204 + 247. Calculate the remainder when 257 is divided by a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1504 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:23 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(sqrt(7) - ((3 + sqrt(7))**2 + sqrt(7))) + sqrt(7) + -5 + 2*sqrt(7) + sqrt(7)*2*-1)*5.\nAnswer: -260 - 85*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c + 124 = -21*m + 14*c, c + 5 = -m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 222342430 (base 5) in base 6?\nAnswer: 33005342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -42. What is the greatest common factor of s and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) -2 (c) 1\/5 (d) -33\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-2 - 7 + 3)*(3*k**3 - 3*k**3 + 2*k**4).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 2*r**2 + 10*r + 0*r**3 - 3\/20*r**6 + 0 + 1\/168*r**8 - 1\/3*r**4 + 11\/30*r**5 + 1\/105*r**7. Find a such that v(a) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 140*c - 4 - 93*c + 12 - 4 in the form v + o*c and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.0092746 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7003485 litres?\nAnswer: 700.3485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89649847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert 87.348 days to milliseconds.\nAnswer: 7546867200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 12\/(1*2)*(-1250)\/(-750)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + sqrt(1584))**2 + 0 + (sqrt(1584) + 1 + sqrt(1584) + sqrt(1584))*3)*2*-3.\nAnswer: -9546 - 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4120 = -12*n + 7*n. Suppose -230 - n = -5*k - 2*l, 2 = l. What are the prime factors of k?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*f**3*n**3 + 20*f**3 - 30*f**2 - 99*n**4 wrt n.\nAnswer: 15*f**3*n**2 - 396*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 76*w**2 + 144*w - 58. Give c(4).\nAnswer: 1734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4227457076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3021, 6511, 9957, 13353, 16693?\n\"Answer: -a**3 - 16*a**2 + 3545*a - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 387.8999ml?\nAnswer: 0.3878999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311645.\nAnswer: 5, 157, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1962, 2455, 3278, 4437, 5938?\n\"Answer: r**3 + 159*r**2 + 9*r + 1793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.1, 913.6618, -1 in decreasing order.\nAnswer: 913.6618, 0.1, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393, -1661, -3807, -6831, -10733, -15513?\nAnswer: -21171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 3*g**5\/20 - g**4\/4 - g**3\/2 - g**2 - 48*g. Let z(n) = 6*n**3 - 5*n**2 - 5*n - 3. What is 5*b(d) - 3*z(d)?\nAnswer: -3*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -236, 0.22, -5, -4, 0.13, 1.3 in descending order.\nAnswer: 1.3, 0.22, 0.13, -4, -5, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**3 - 170*y**2 + 320*y = 0.\nAnswer: 0, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -3042 = 15183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14211 - -14211. Solve w = -37*n + 80*n - 258 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**4 + 11*l**3 + 12*l**2 + 11*l + 2. Let x(d) = -d**4 - d**3 - d. Let g(r) = 2*t(r) + 6*x(r). What is w in g(w) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*p**3 - 562*p**2*s**2 - 2*p*s**2 + 18*p + 42*s**2 + 18 wrt p.\nAnswer: -240*p - 1124*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379245 divided by -2318.\nAnswer: 379245\/2318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/9 + 2*b - 44\/9 = 0. What is b?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (17 - 3 - 23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2178938304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -3*k - 18 + 13, 25 = 2*a - 3*k for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 34. Let l be q(-10). Is l equal to -11\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 825 - 814. Calculate the remainder when 17 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 32*r - 45. Let z(v) = 2*v**2 + 65*v + 89. Let p(j) = 5*d(j) + 2*z(j). What are the prime factors of p(-19)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 960 - 1655. What is the units digit of z\/(-15) + -3*2\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -31*j**2. Let s(r) = -12*r + 15. Let t(f) = -38*f + 50. Let l(h) = 7*s(h) - 2*t(h). Calculate l(z(q)).\nAnswer: 248*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 29*t - 1. Let d(b) = 28*b - 1. Calculate 5*d(z) - 4*s(z).\nAnswer: 24*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-3\/7)\/l*l)\/l**(3\/8))\/(l**0)**(-11\/3) assuming l is positive.\nAnswer: l**(67\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4641223, -9282445, -13923667?\nAnswer: -18564889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:45 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -1993373080 and 1.443.\nAnswer: -1993373078.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 38508818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10598, -10595, -10592?\nAnswer: -10589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*q - 545 - 44, -2*l = -2*q - 298. Suppose 3*t + 2*j = l, 4*t - 168 = -4*j + 24. Solve 5*r - t + 6*r**2 + r**2 - 2*r**2 + 42 = 0 for r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1149, -3695, 3?\nAnswer: -3695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1. Let g(u) = 3*u**3 + 2*u**2 - 2*u - 3. Let a(b) = g(b) - 3*h(b). Let d = -2088 + 2085. Let v(k) = 4*k**3 + 3*k**2 - 3*k. Give d*a(y) + 2*v(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:22 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*d - 11*d**4 + 0*d**4 - 31*d wrt d.\nAnswer: -132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17281765 to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2113*d**2 - 183*d.\nAnswer: 4226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2442304 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 15*g - 4. What is h(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.658 - 2.342. Which is the nearest to 0.12? (a) -0.1 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22459*-0.157\nAnswer: 3526.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(43\/((-1075)\/(-100)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-15) + (-98)\/(-35). Suppose -2*w - 4*d = -6*w, -t*d = w. Suppose -654 = -5*q + 3*x + x, w = 2*x - 8. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**2. Let z(u) = -3*u**2. Give -2*w(m) + 5*z(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -181?\nAnswer: 90.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2764 - 1681. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/12)*d*d)**(-24) assuming d is positive.\nAnswer: d**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 18.8. Which is the closest to 2? (a) l (b) -4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81539*r**2 + 40757*r**2 + 40771*r**2.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 2*w**2 - w + 2. Let m be r(-2). Let h = -44 - -49. Solve m*v + h = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 55 = 12*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -11. Let y = 12 + -10. Suppose 2 = -2*r, 2*r - y = -w - r. What is the lowest common multiple of w and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 0*j + 8*j - j**2 + 0*j**2.\nAnswer: -j**2 + 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 13*x**3\/6 - 3*x**2\/2 - 19*x. List the prime factors of r(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 + 10 = -2*t, -2*t = 10. Suppose z - 4*z - s = 4, n*s + 16 = 0. Solve -g - 4*p = 0, -2*g + 5*p - 4 - 9 = z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.4 + -14. Let s = -5 - -10. What is the biggest value in s, w, -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 2*u + u**2)*(105*u - 219*u + 160*u)*(2*u + 2*u - 3*u) to the form o*u + l*u**4 + r + d*u**3 + t*u**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 2 + 0)*(0*k + k + k) + 103*k + 116*k - 17*k)*(9 + 4 + 6) in the form o + z*k and give z.\nAnswer: 3914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -3*i**2\/2 - 8*i - 23. Let c be p(-4). Suppose -c*n + 85 = n. Calculate the greatest common divisor of n and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -86 and -125.\nAnswer: 10750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 46*d**5\/15 - d**2 + 41. Let t(l) = -4*l. Give c(t(k)).\nAnswer: 2944*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - c + 0*c + c**2 - 1. Let u(t) = 2*t**3 + 4*t**2 - 5. Let y(r) = 5*h(r) - u(r). Find the third derivative of y(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.8, -3, -2\/11, -104, -0.15 in increasing order.\nAnswer: -104, -12.8, -3, -2\/11, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {f: 6, h: 7, i: 1, k: 6}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775 a factor of 555674400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10*v - 19 = 6*v, -3*v = -5*o - 17. Do o and -2\/529 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-352)*((-36)\/(-60))\/((-4)\/10)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 117 in -2\/3, -2, 2, 0.3, 8\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 7. Let j be x\/(-2) - 2\/(-4). Let g(i) = 3*i**2 - 2*i**2 + i**2 + j*i**2. Let a(h) = -3*h**2. What is g(a(t))?\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -332191, 3, -3\/7 in ascending order.\nAnswer: -332191, -3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -158*j**3 - 14*j**2 - 4*j + 12. Let r(y) = -211*y**3 - 18*y**2 - 5*y + 16. Give -9*l(n) + 7*r(n).\nAnswer: -55*n**3 + n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15940875 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7808397 divided by 3?\nAnswer: 2602799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0. Suppose 0 = 7*o + 1526 - 189. Let w = 186 + o. Which is the second biggest value? (a) 0.3 (b) r (c) w (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -5.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(0 - 3) - -3. Suppose -4*c = -3*f + 2*f - 38, 4*c = -5*f + 26. Let k = g + c. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 15 = -3*o, 0*r - o + 5 = -4*r. Suppose 0 = -j - r - 18. What is the tens digit of (138\/j)\/(2\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 88 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.1 + 18.1. Sort k, -1\/3, 3\/37 in descending order.\nAnswer: k, 3\/37, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b5 (base 15) in base 7?\nAnswer: 5513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 12:39 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2964.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 997, 3578, 8605, 16894, 29261, 46522?\nAnswer: 69493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1405699819 to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2524*h - 2499*h + 0 + 0.\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - v = 1758 - 212, -2 = -v. Let w = y - -392. Suppose -5*g = 2*s - 19, 3*g + 18 = -0*s + 3*s. Solve w*b + 3*z - 25 = s*z, -3*z - 20 = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1893\/56 - 234\/7. Which is the closest to -2? (a) h (b) 6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.07 (b) -0.4 (c) -3 (d) 6564 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d - 2. Let u(q) = q**2 + q - 1. Determine p(r) - 4*u(r).\nAnswer: -4*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -172\/245805 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 239, 214, 191, 170, 151, 134, 119?\n\"Answer: p**2 - 28*p + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4631*z - 6121. Calculate s(-2).\nAnswer: 3141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89572993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 5*m - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/6523?\nAnswer: 3\/6523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46610 is divided by 400?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1589 = 11*t + 10961. Let q = t + 1661. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2 - m**2 + (3*m - m - 3*m)*(-3*m + 3*m + 4*m) - 2*m**2 + m - m)*(-2*m - 3*m + 2*m).\nAnswer: 21*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3458 + 3435 = -v. What is the remainder when 119 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n - 3157 = -3*u, 0 = u - 5*n - 1035. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**2*y + 5212082*w**2 + 2*w + 9595242*y wrt w?\nAnswer: 4*y + 10424164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4640 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + y)*(7*y - 7*y - 14*y - 2*y + 1 - 1 - 4*y + 0*y + 3*y - y - 3*y + 2*y + 4 - 2*y - 4 + (-1 + 1 + 1)*(2*y + 0*y - y) - 2*y + 0*y + 0*y).\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 5, 0.15, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-1) + -6 - -198. Let c = 200 - o. Is -4\/143 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -27*z**2 - 80*z + 6. Determine h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r + 12. Calculate the remainder when w(4) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**4 - 8*z**3 + 3*z**2 + 8*z. Let v(f) = 80*f**4 + 215*f**3 - 80*f**2 - 215*f. Let s(y) = 55*k(y) + 2*v(y). Factor s(h).\nAnswer: -5*h*(h - 1)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p\/(p*p**1)))\/p*p**(-2\/7)*p**(-2\/23)\/p**8)**11)**(-5\/3) assuming p is positive.\nAnswer: p**(74140\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3892, 3890, 3868, 3814, 3716?\nAnswer: 3562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -21*d - 1473. Let f be u(-62). Let z(p) = -9*p**2 + 2*p - 2. Let r be z(3). Let v = r - f. List the prime factors of v.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s + 15 = 0. What is the third derivative of -s*d**3 + d**3 + 2 - 2 - 4*d**2 wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 4*g**2 - 5*g - 2. Let d be k(5). Let r be -3 + (0 - (-4)\/d). Which is the biggest value? (a) -1 (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/47 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 195341?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -659, -691, -703, -683, -619, -499, -311, -43?\n\"Answer: 2*z**3 - 2*z**2 - 40*z - 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 604347446 to the power of 1\/2, to the nearest integer?\nAnswer: 24583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(66))\/sqrt(6) - (3*sqrt(1331))**2.\nAnswer: -11979 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 150*g**2 + 76*g**2 + 80*g**2 + 2*g**2 + 4*g**2 - 4*g**2 - g**2 + 1 - 1 + (5*g - 3*g + 0*g)*(-1 - 2*g + 1) to q*g + x*g**2 + o and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7993 - -4234. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-10)\/(-15))*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 106. Suppose 19*g - 20*g + z = 0. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022219 to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**7\/945 + 17*d**6\/2160 - d**5\/180 + 5*d**4\/24 + 4*d**3\/3 - 5*d**2. Let q(t) be the second derivative of i(t). Factor q(k).\nAnswer: -(k - 2)*(8*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982\/3 at most as big as 226.461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + o**2 + o. Let f(q) = 3*q**3 - 3*q**2 - 5*q + 1. Let b(z) = -f(z) - 4*l(z). Let h(r) = 5*r**3 - 6*r**2 + 6*r - 6. Determine -6*b(n) + h(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 1903803.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 232, 390, 582, 814, 1092?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1944 by -486.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159878 is divided by 79527?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.167?\nAnswer: 0.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(68)\/sqrt(64).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/52 and -25\/18876.\nAnswer: 18876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 14*i - 2. Let y(a) = -28*a + 3. Determine 10*w(o) + 6*y(o).\nAnswer: -28*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 4. Let u(x) = 2*x**2 + 3. Let z(l) = -3*s(l) - 4*u(l). Let c(n) = 23*n**2. Determine z(c(d)).\nAnswer: -1058*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h**3\/4 - 304283*h**2\/4 + 5922990*h - 114580575 = 0.\nAnswer: -6287, 270\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*g - 0*g + 5*i, 0 = 4*g + 3*i - 17. Suppose -t + 56 = 5*f, f + t + 52 = g*f. Let n = f + -8. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.0169cm in kilometers?\nAnswer: 0.002310169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4659 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**4 + 20*r**3 - 49*r**2 + 24*r - 9. Let x(s) = 2*s**4 - 21*s**3 + 47*s**2 - 27*s + 9. Let h(g) = 4*b(g) + 6*x(g). Factor h(i).\nAnswer: 2*(i - 3)*(i - 1)**2*(4*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81410355 and 21950.\nAnswer: 814103550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*c, -g + 8*c = 4*c - 13. Suppose -4*q = -i - 21522, -3*q = q + g*i - 21534. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8410.846mm?\nAnswer: 8410846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4141, -4829, -5519, -6211, -6905?\n\"Answer: -p**2 - 685*p - 3455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/12*(-9)\/(-48)*4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 1. Let v(p) = -p + 9. Let l be v(7). Let y(k) = -k**3 + k**2 + k - 2. Let u be y(l). Calculate h(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/5 - (-1568)\/70\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from vlvolklkokll?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 3, 0, -6 in ascending order.\nAnswer: -6, -3\/4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1558974*v. Let j(h) = -4*h. Calculate i(j(l)).\nAnswer: -6235896*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*k + 192 + 103 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1563661938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*h**3*n**4 - 2*h**3*n**2 + 83*h**3*n - 14*h*n**4 + 3*n**3 wrt n.\nAnswer: 120*h**3*n - 336*h*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9a30 (base 11) to base 13\nAnswer: -6031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/78, 16, 4, -5, 2?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 912, 483 in decreasing order.\nAnswer: 912, 483, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1280784 is divided by 88.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 5*a + 2. Let l be y(-2). What is the third smallest value in l, -9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19671213 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-26))**(-2\/59) assuming a is positive.\nAnswer: a**(50\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*p**2 - 325*p**3 - 1 + 28*p**2 + 65*p**2.\nAnswer: -325*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 225659 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1389, -2773, -4157, -5541?\n\"Answer: -1384*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 2*o**2 + 0*o**3 + 0*o + 0*o**4 - 1\/42*o**7 - 1\/12*o**5 + 0 + 0*o**6. What is the third derivative of w(p) wrt p?\nAnswer: -120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*l - 2*k, -349*l - 2 = -352*l - k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1422)\/(-10270))\/(6\/10)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 906 divide 7814250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u - 17*u - 3*u**4 - u**2 + u**3 + u**4 + 27*u - 1 - 2*u**2 to the form l*u + t*u**3 + v*u**2 + h + a*u**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*65\/105)\/((-7)\/(-49)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2815 and 330?\nAnswer: 185790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1897, -3783, -5669, -7555?\n\"Answer: -1886*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (260\/(-3))\/(-2) - (-5)\/(-15). Suppose x = -7*f - 118. Let l = f + 33. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -74. Let s(k) = -k**3 + 8*k**2 - 8*k + 10. Let u be s(7). Solve -p = -u*p + y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(4)*-6 - (-3*sqrt(1920) + sqrt(1920) - sqrt(1920)))\/(-1*-3*(sqrt(10) + (sqrt(80) + 1*sqrt(80))\/sqrt(8) + sqrt(10) - sqrt(10))) + -3.\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151267258 is divided by 403?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.717565 seconds?\nAnswer: 0.04529275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3850, -2859, -1868, -877, 114, 1105?\n\"Answer: 991*s - 4841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/10 + 9599*c\/10 + 4797.\nAnswer: (c + 5)*(c + 9594)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37490)\/(-11247)*(-6)\/(-13)?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1429*d = -1449*d + 18880. Calculate the remainder when d is divided by 67.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19928\/125 or 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.1 + -0.1. Let b = -9.3 + o. Let n = b + 3.313. Round n to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b984 + ba?\nAnswer: -5b886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15858877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 + 2*z**3 - 6*z**3 - z**2)*(3*z**2 + 6*z - 5*z + 0*z**2).\nAnswer: 3*z**5 - 2*z**4 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/15 - 764*v**2\/15 + 1008*v\/5 = 0.\nAnswer: 0, 4, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 8*o**5\/5 - 7*o**4 + 12*o**3 - 10*o**2 + 4*o + 18. Factor y(q).\nAnswer: 4*(q - 1)**3*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 19 - 2141*t**3 - 21.\nAnswer: -2141*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 r when three letters picked without replacement from ppppppppppppppprpppp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 2. Let y = 5.9252 - 0.9252. Let v = 47\/18 + -10\/9. What is the closest to z in v, -0.1, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 21. Let b(l) = l - 2. Let i be b(-5). Let x be (-2)\/(-3)*3\/i. Put x, q, -0.2 in decreasing order.\nAnswer: -0.2, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 1049?\nAnswer: 28\/1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229360 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 1:30 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*w**3 + 2*w**2 - 117*w**3 + 166*w**3.\nAnswer: 193*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.073 and 58.\nAnswer: 4.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 7 = 22. Suppose r*w - 480 = -2*w. Suppose -j = 3*j - w. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 84. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p**3 + 3*p**2 + 2*p + 4. Let o(j) = -2*j - 1. Let m be o(-2). Is k(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 u, 1 g, and 1 c when four letters picked without replacement from {u: 1, c: 1, o: 1, b: 1, g: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212 + 156 - 129 - 278 - 3*t.\nAnswer: -3*t - 463","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 624\/679 (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -42. Suppose -c*k - 2 = -42. Solve 4*i = -4*b + k, 0*i - 2*i + 4 = b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 t, and 1 r when three letters picked without replacement from ffrwfttitttt.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p + 15. Let w be k(-3). Solve w = -5*m - z + 21, -3*m - m + 11 = -5*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 223704 and 4604184.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 872 and 20?\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3 + 5*y + 4 + 5 - 1 + 10*y**2. Let f(l) = -11*l**2 - 6*l - 6. Calculate 6*b(x) + 5*f(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*28\/175.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 + 0*r**4 - r**4)*(-3 + 0 - 4).\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(85)*-3)\/(sqrt(5) + sqrt(500)*-1 + sqrt(500)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1437329*a + 2955884 wrt a?\nAnswer: 1437329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4449*m + 20841*m + 119504 + 847624 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -5 (b) 3 (c) 4 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 25010?\nAnswer: -25015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -370 - -384. What is the highest common divisor of u and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14479836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11300478 divided by -3.\nAnswer: -3766826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 4*l + 15 + 17 = -0, 4*l = 3*z + 6*l + 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.1 - -15.4. What is the nearest to 0 in -0.5, g, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10601 + 2*s**2 + 10604 + 2*s**2)*(-2 + 5*s + 0*s - 3*s).\nAnswer: 8*s**3 - 8*s**2 + 6*s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1433 - 2349 - 6734 = 1284*a + 2622 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 1, u: 1, f: 1, d: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*i, -3*q - 5*i + 392351 = -2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 55, 75, 113, 175, 267, 395, 565?\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26490*l**3 - 12*l**2 + 1870456*l?\nAnswer: -158940*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 64 or 1190\/19?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b - 11. Let n be v(13). What is the highest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (717\/(-27) + 23 + 4)\/((-2)\/45)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 835 (b) 2\/15 (c) -36 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = n - 3*l, -2*n - 3*l = 15 - 4. Let j = -7 - n. Let u(p) = -3*p**2 + 5*p**2 - j*p + 0*p**2. Calculate u(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111 + -94. Solve -3*p + 5*x = -17 - 2, w = 5*p - x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k = 18*k - 3*w - 44906, -17954 = -2*k - 3*w. Suppose -6*n - 1594 = -k. List the prime factors of n.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 4*u = 13*m + 12, 4*u - 30 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/11, 0.9, 5\/4, 0.5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/12)\/(((-2)\/(-3))\/(320\/36)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110784 and 2064.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 3510790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 1 + (-3 - -4). Let j(k) = 2*k**3 - 2*k**i - 6*k**3 - 2*k - 1 + 0*k**2. Let u be j(-1). Let y(g) = -g**3 + 2*g**2 + g + 4. Determine y(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 7 = -19. Suppose a - 55 = -5*y, a - q*a = 4*y - 33. Suppose 3*c = 3 + y. Solve -3*g - 1 - 15 = -5*h, -g = -c*h + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 11. What is the biggest value in f, 0.5, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6794 - -21278. Calculate the least common multiple of w and 6.\nAnswer: 14484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/(-18))\/((-15)\/(-190)))\/(-1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024767 to six dps.\nAnswer: -0.000248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + 6 - (24 - (11 - -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 337 (b) 3 (c) 0 (d) -36 (e) 16 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 15. Suppose 4*b - 1 = t. Suppose -h - 12 - 24 = -s, -b*s + 149 = h. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988736440 plus 0.2?\nAnswer: 1988736440.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3878*k**2*t**2 + 108*k**2 - 4*k*t**2 + t**2 - 16630*t wrt k.\nAnswer: -7756*t**2 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 1\/2*-4 - -2. Let m(p) = -p**3 - 8*p**2 - 7*p + 1. Let w be m(-7). Let a be (-354)\/(-24) + w\/4. Solve b + g + t = -3, -5*g = a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Suppose -4*s - w + 11 = 0, -5*w - 5 = -4*s - 4*w. Suppose -s - 2 = q. What is the closest to -1 in c, q, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -43 - 6) + -19?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737131 is divided by 212.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**5\/20 - k**4\/4 - k**3\/6 + 2*k**2 - 4*k - 2. Let a(b) be the first derivative of z(b). Is a(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5) + (12 - 4 - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 198.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22177964 - -6342788. Let p = -9435176 - w. What is p rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -7*p**7\/60 - 133*p**6\/120 + 41*p**5\/30 - p**4\/2 + 4*p**2. Determine q so that n(q) = 0.\nAnswer: -6, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 4*m + 1496 - 1492, 3*p + 5 = 7*m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 5*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 146280637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*0\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102723969 to the power of 1\/3, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:55 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 44, -135.61, 1.6?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t**2 - 8*t**2 + 18*t**2)*(-2*t - t + t + 1)*(38 - 38 + 38*t) to z*t**4 + o*t**2 + k*t + n + p*t**3 and give z.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/35 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2369041216 is divided by 139.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*v + 293*v = -1011*v + 9922 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:50 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -1, -89832.18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 11) + -3 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -54*m**3 - 470*m**2 + 8*m + 63. Determine k(-9).\nAnswer: 1287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.02 (b) -2.15 (c) 2\/5 (d) -3\/10 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -23, -47, -91, -161, -263, -403?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 24?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.7852 times -0.55?\nAnswer: 2.63186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 196?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d - 2*d + 4*d + (-1 + 3 - 4)*(1 - 2*d - 1) - 6*d + d + 3*d)*(4*d - d + 2*d)*(-2*d + d + 0*d)*(3 + 2 - 6) to k*d**3 + g*d + m*d**2 + q and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -981*y + 102726. Give s(103).\nAnswer: 1683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(125) + (sqrt(125) - sqrt(125)*-1)) - (sqrt(140) - (sqrt(140) - (-1*2*sqrt(140) + sqrt(140))))\/sqrt(7))**2 + 4.\nAnswer: 1204\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4847 (base 14) to base 8.\nAnswer: -30477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -17?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eke when three letters picked without replacement from {k: 4, q: 3, y: 3, f: 2, e: 6}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4598 and 456?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y**5 - 45*y**4 - 231*y**2?\nAnswer: 180*y**2 - 1080*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.728532 weeks to microseconds.\nAnswer: 2859816153600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*t - 5763 = 220*t - 2024 + 4549 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -695, -17, 1\/6, -1\/4, -2 in ascending order.\nAnswer: -695, -17, -2, -1\/4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d**2. Let s(l) = -331 + 162 - 14*l + 169. Determine s(m(b)).\nAnswer: 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*u - 43*u - 34*u + u**2.\nAnswer: u**2 - 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3732 is divided by 35.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 + -60. Suppose -4*m + 7*m - v = 0. Let u = m - 14. Solve 4*y = -d + 17, -5 = y + 3*d - u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(60)*2)\/(-4*sqrt(192)))**2*6.\nAnswer: 135\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -17*m - 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 60000*m - 60005.\nAnswer: 5*(m - 12001)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57176 and 56?\nAnswer: 57176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000151 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-3740)*638\/(-580)?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1234 and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 595 = -0*x - z, -5*x = 2*z - 991. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 8 - 2, -3*s - 8 = -a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**6\/42 - 3*n**4\/7 + 16*n**3\/21 + 441. Let w(z) = 0. What is z?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 4)*(-475*l + 475*l - 8*l**3).\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 3*v**2 + 3*v - 4. Let g(q) = q**2 + 4*q - 4. Suppose 2*f - 3*f = 8. Let r be 19\/(-4) - 6\/f. Let z be g(r). Calculate h(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5021 is divided by 836?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 19, -11 in descending order.\nAnswer: 19, 1\/2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 (base 10) in base 8?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 3*q - 81 = 12*m - 49, -28 = 2*m - 4*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5088780610 to the power of 1\/2, to the nearest integer?\nAnswer: 71336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1297.5 and -15612?\nAnswer: -20256570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from ffhyhyfhhfh?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3121230 (base 4) to base 15\nAnswer: -41dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78935.73 rounded to the nearest one thousand?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.9 in 0.5, -0.1, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**21\/o**(-20))\/(o**(8\/9)\/(o*o\/((o\/o**(14\/9))\/o))) assuming o is positive.\nAnswer: o**(131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16015, -15979, -15919, -15835?\nAnswer: -15727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(30\/(-12))\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10041 + 175?\nAnswer: -8755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-2 - (-4 - 0)). Let h = 11 - d. Calculate the remainder when h is divided by (2*-1)\/((-2)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 + 3*q**4 - 45*q**2 + 2*q + 95*q**2 - 48*q**2 to the form t + m*q**3 + u*q**4 + s*q**2 + p*q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 32743.41 milligrams?\nAnswer: 0.00003274341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1604*h - 1715*h + 12 + 13 - 23.\nAnswer: -111*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 12:23 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwqq. What is prob of picking 2 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 308651 times -0.03?\nAnswer: -9259.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -21. Suppose -16*t = -b*t. Is 3\/8 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 1. Let g(n) = n**2 + n - 5. Let s(y) = -g(y) + 3*w(y). Give s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11520?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92 + 96. What is the third biggest value in -51, u, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 25 = 0, -7*s + 2*s = 4*l - 21. Let a be -2*1*l\/1. Solve 15 = -a*m - f, 2*m + 5*f = 3*f - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 + 493 - 199)*(n - n + n)*(-2 + 2 - n)*(-3 - 4 + 1).\nAnswer: 1224*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447775053 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22485 and 31479?\nAnswer: 157395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 34*z + 134 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/3 - (-6 - -5))\/1. Suppose a*h + 9 = 3*z, 3*h + z - 3 = -2*h. Suppose h = p - 7*p. Solve -3*q + q + 4 = p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s - 2. Let t(q) = -9*q - 3. Let v(r) = -2*t(r) + 3*u(r). Let m be v(-1). Is 14 a factor of 19 - -1 - (-4 + m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**4 - 19276*n**3 + 1569708*n**2 + 9938268*n + 15167304 = 0.\nAnswer: -4899, -3, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - p - 5. Let n = 4 - 4. Let w be q(n). Let x(i) = 3*i - 2. Let a(l) = 33*l - 3 - 15*l - 14*l. Give w*x(b) + 4*a(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 480*l - 2195. Let y(f) = -f**2 - 471*f - 2197. Let a(t) = 3*n(t) - 4*y(t). Differentiate a(b) with respect to b.\nAnswer: 2*b + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 3:42 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 282 = 3*s - 208, -2*o + 64 = 2*s. Solve 7*h + o = 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-18)*(-2016)\/(-4032)*1*36.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -90 + -3?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/12)\/(52\/(-39)). What is the closest to -35\/2 in -0.4, 0, z, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101.83 + 12.47. Let w = o + -119. Round w to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387 divided by 3.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 11:49 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3 + 3. Suppose -16*m - 275 = -5*m. Let k be 30\/m*(-5)\/p. Which is the smallest value? (a) 5 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**2\/4 + 7*a\/2 - 3\/4 = 0. Calculate a.\nAnswer: -3, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, a: 5, n: 4}. Give prob of picking 1 t and 1 n.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 4 + (1 + 5 - 3)*(1 + 3 - 2) - 4 + 2 + 4)*(-23*t - 19*t + 34*t) as f + x*t and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/5 + 42*d**2\/5 + 288*d\/5 + 648\/5 = 0.\nAnswer: -9, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155 - 159. Let c be (-20)\/o + (1 - (-3 + 1)). What is the highest common divisor of 12 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntysyn. Give prob of sequence yn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234502, -469027, -703554, -938083, -1172614?\nAnswer: -1407147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 162 = 4*l, 3*l + 114 = 6*l + 3*z. Solve 47*f = 27*f - l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*w**2 + 8*w**2 - 12*w**2)*(-w + 0*w + 0*w) as g*w**3 + o*w + b*w**2 + f and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 57*s - 536. Let q be c(12). Solve q*r = 4*t - 4, 5 = 3*r + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17609\/6330 + -172\/211. Calculate the common denominator of (-10)\/15 + (-166)\/(-36) + 1 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 637 + -648 - ((1 - -10) + 2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2514048 to the nearest 1000.\nAnswer: -2514000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 35718465?\nAnswer: -35718463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/62*(8 + 1\/((-28)\/(-3256))). Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/60 - 3*f**4\/8 + 2*f**3 + 6*f**2. What is the remainder when q(8) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 22*y - 6. What is the units digit of w(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 22 + -3 + 14\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1\/2 (b) 1098 (c) -0.08 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*v - 743 = 1601 + 560. Let o be 2\/(-8) - (-892)\/(-16). Let g = o + 100. What is the highest common divisor of v and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 266 = -964. Let i = z + -201. Suppose -b = -4*b. Solve -i*h - h = b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 10 - 3)*(2*d**2 - 7*d**2 + d**2) - 2*d**2 + 3*d**2 + d**2 + (-4 - d**2 + 4)*(-5 + 4 - 2).\nAnswer: 53*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4361794 is divided by 354?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 167 and 3?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/2822 and 133\/306.\nAnswer: 25398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/43 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*n + 10, -19*n - 50 = -14*s - 16*n. Let x(h) be the second derivative of 0 + 15*h - 1\/12*h**s - 5\/2*h**2 - 1\/3*h**3. Determine x(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqqohqoqoou. Give prob of sequence oqqq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 5*l**2 - 41*l - 17. What is d(7)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 - 94.9. Let j = -23 - i. Which is the closest to -0.1? (a) -2\/21 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -45437 and -55998 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -359 + 366. Let m = -192 - -244. What is the remainder when m is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 1. Let t(h) = h - 4. Let x = -31 + 61. Suppose 0*o - 4*o + x = -5*g, 7 = -g + o. What is g*q(r) - t(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 148 = -z + 45, 4*z + 2*k - 782 = 0. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 9*i - 4*i. Let z be -104 + (-10)\/(1 + 1). Let s = -107 - z. What is the highest common divisor of s and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47139037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhihhhih. Give prob of picking 1 h and 2 i.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 9 = 4. Find the common denominator of 29\/4 and c\/(-3 + (3 - 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 4:17 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 - d**2 - d. Let l be -2*(9\/(-6))\/(-3). Let q be j(l). Factor 1\/4*f**2 + 1\/4*f**q + 0*f + 0.\nAnswer: f**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/(-28) - 8\/10 and (-1)\/(-6)*(-63)\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 20 = -10*q. Let n(a) = a**2 + 3. Is n(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 70?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3013442 is divided by 2446?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(30)*-3 - sqrt(30))\/sqrt(6)*-4)**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u**3 + 70*u**3 + 0*u**3 + 39*u + 400*u**3.\nAnswer: 449*u**3 + 39*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33\/28 - 10\/7. Which is the third biggest value? (a) w (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.7 - 40. Let h = 0.4 - n. Which is the third biggest value? (a) 0 (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14a4 (base 15) to base 6\nAnswer: -32301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3022 - 2994. Calculate the highest common divisor of z and 1918.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/54108336 and 119\/202906260.\nAnswer: 811625040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -18\/571?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -4.65. Let n = r - -0.8. Let t = 0.35 - n. What is the nearest to 1\/4 in t, -5, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 5:02 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (16\/44)\/((-156)\/(-286))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*q**2 + 38*q**4 + 2 - 36*q**4 - 673*q + 674*q in the form z*q + y*q**4 + s*q**2 + j*q**3 + f and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + (-1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 12:37 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-5 - -25) + -35?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2. Suppose 5*d - l - 29 = 0, -2*d - 30 = -4*d + 5*l. Let g(m) be the first derivative of -61 - d*m**2 + 29 + 28. Calculate g(v(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 3*u**2 + 5*u + 6. Let i be m(-4). Is -2*(1 - 1537\/i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8803 - 37432 = -274*m - 13629. What is the least common multiple of m and 1372?\nAnswer: 23324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 6 = -0*w + 3*m, 5*w - 24 = -3*m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3282, 6353, 9354, 12285, 15146, 17937?\n\"Answer: -35*t**2 + 3176*t + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 times -1?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*w - 2*w + 9, -5*w - 2*h + 21 = 0. Suppose 0 = -w*k + k. Factor k + 0*g**2 - 1\/2*g**3 + 1\/2*g.\nAnswer: -g*(g - 1)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4521 by 13.\nAnswer: 4521\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q + 165. Let d(h) = -3*h - 53. What is -11*d(t) - 4*l(t)?\nAnswer: -3*t - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271090.\nAnswer: 2, 5, 27109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -43*d**7\/21 + 55*d**4\/12 - 4*d - 7. What is the third derivative of r(m) wrt m?\nAnswer: -5160*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 2*s + 1. Let d be v(2). Suppose 7*a - 4*a = -2*j - 1, 3*j = -2*a + d. Which is smaller: j or 18?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {v: 8, q: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(245) - sqrt(245)) + -3 + 3)*6 + 5 + 3)*-5*-6)**2.\nAnswer: 604800*sqrt(5) + 7995600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = h + h - 8, -5*d + 14 = -h. Suppose -h = c - 2*g - 0, 5*c = 4*g + 19. Find the second derivative of -18*i - 43*i**3 + 5*i**3 - c*i - 6*i wrt i.\nAnswer: -228*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553 = 7*f - 23*f - 103 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0705 and -5.7?\nAnswer: 0.40185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 37779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 110775520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 - -5 - (-8 + 0 + (6 - 5))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -32 (b) -0.5 (c) 6 (d) 3 (e) -4 (f) 3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 2, -61.\nAnswer: -61, -8, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 15840 = -27*v. Let z = v - 358. Let q(a) = a**3 - 3*a**2 - a + 2. Give q(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q - 2*q + 27. Suppose -p = -2*w + 8, 2*p + 0*w - q*w = -12. Suppose 2*i + i + 33 = p. Which is the smallest value? (a) 0 (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 6*a + 2*a - 28 = 0, 4 = -i + 2*a. Let h(j) = -5*j - 6. Let s(p) = p + 1. Let d(z) = h(z) + 6*s(z). Calculate d(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -6) + 3 - (-1 - -7) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -248*w - 371*w + 222 + 320*w - 187 + 2*w**2 to the form c*w**2 + r + q*w and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42850*v**2 - 95613*v?\nAnswer: 85700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 60*p - 1488. Let y be w(-86). What is the highest common divisor of y and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 22*g**2 - 18*g + 179. Let s be 0\/(-1) - 230\/(-10). Does 3 divide o(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36353233*j**2 + 26576904*j.\nAnswer: -72706466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*s - 17*s - 23*s - 2*s**3 to v*s + j*s**3 + d*s**2 + a and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -664 + 656. Let t be 3\/6*(-143)\/220*v. Factor -3\/5*f**2 - 4\/5 + t*f.\nAnswer: -(f - 4)*(3*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*u**3 + 131*u**3 + 10*u**3.\nAnswer: -38*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(1020\/(-8)))\/((-9)\/(45\/(-1))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 at least 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-6)*(-17178)\/2045.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123269*i**4 - 25529*i**2.\nAnswer: 2958456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*l + 2 + 18, 5*l = 4*p + 20. Suppose p = -3*i - 237 + 9288. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxhhxxh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Give h(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*((-8)\/(-3) + 6\/(-9)). Factor 2*z**3 + 18\/5*z + 4\/5 + 24\/5*z**g.\nAnswer: 2*(z + 1)**2*(5*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 5. Let j(l) = 4*l + 17. Let s be j(-3). Let t = 3.11 + -0.11. What is the second smallest value in t, m, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/16 and 5\/68.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovos when four letters picked without replacement from soogogvevgvevo.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-8\/5)\/(y*y\/y**(-1\/29)*y) assuming y is positive.\nAnswer: y**(-672\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/x**(-2\/11))\/(x**(-1\/2)\/x*x)**(-2\/31)*(x\/(x**1*x))**(-21)*x**2*x\/x**5 assuming x is positive.\nAnswer: x**(5507\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 6*l - 12. Let x = 25 + -16. Let u be g(x). What is the units digit of u\/(27\/6 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07999948 + -0.08. What is p rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 11, w: 8}. What is prob of picking 1 a and 2 w?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*d*n**3 - 2*d*n**2*t - d*n**2 - 15*d*n*t - 3*d*n - 1439*n**3*t**2 - 4*n*t**2 wrt n?\nAnswer: -78*d - 8634*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620998.\nAnswer: 2, 7, 44357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/82 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 6:47 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 11362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 8 = 2*v - 30, 0 = 2*v + b - 13. Suppose -8 = -v*c - 4*w + 525, 5*c = -5*w + 535. List the prime factors of c.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4167 - -4167.26. Which is the smallest value? (a) 0.8 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -9, 62*n = 3*a + 60*n - 42. Solve a*g - 32*g - 48 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23580 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 152293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29 + -3b9c8a?\nAnswer: -3b9cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1042.405895 and -2.\nAnswer: 1040.405895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544879 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 8 - (38 + -43 + 35)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62337*m - 329142?\nAnswer: 62337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 193617 and 240?\nAnswer: 15489360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 23109599.\nAnswer: 5\/23109599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 574 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4182 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78274*g + 13*g**3 - 78262*g + 234780*g - 78244*g.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14\/3 + -4. Sort h, -6, 3\/7 in ascending order.\nAnswer: -6, 3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 3 - 3)*(-88*h + 328*h + 328*h) + 2*h**2 - 3*h**2 - h**2.\nAnswer: -1138*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 70 = 59*u. Let b be (-130)\/(-39)*(-12)\/(-10). Solve 0 = y + c + u*c + 18, -8 = -b*y + 4*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8383 equal to 8383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 16. Suppose -3*p + 6 = -6. Let j be 12*-2*(-6)\/p. What is the greatest common divisor of j and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:13 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - v = v - 31, -2*k + 34 = 4*v. Let a = k - 6. Is 40 - 0 - a - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 29293*d\/4 - 1556336.\nAnswer: (d - 29504)*(d + 211)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*q = 11*q + 158 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 12650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 l, and 1 y when three letters picked without replacement from {l: 1, y: 1, z: 2, q: 1, c: 1, x: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 48*h. Let g(n) be the first derivative of n**2 - 133. Give g(i(p)).\nAnswer: -8*p**2 - 96*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (186\/434)\/(38\/(-1330))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1124 = -492*g + 463 - 22743 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2181.62 - -2212. What is z rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 96 = -4*r. Let o be (-20)\/15*(-1422)\/r. Let a = 273 + o. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693172063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 10756663.33263?\nAnswer: 10756641.33263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 7 + 13. Let c(r) = -r**2 + 1. Let h be c(-1). Factor h + 1\/5*x + 4\/5*x**5 + 3*x**3 + 7\/5*x**2 + 13\/5*x**i.\nAnswer: x*(x + 1)**3*(4*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 71 and -4158321.\nAnswer: -295240791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14 - (7 + 12\/(-3)). Suppose -51 = -h - p. Is h a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -211 - -250. Calculate the highest common divisor of a and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -11000111010000000010?\nAnswer: -11000111010000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28170617?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(475)*1 - sqrt(684)*-1) + -5) + 3 + -5*(sqrt(931) + 0) + 0.\nAnswer: -101*sqrt(19) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 15. Let d be z(-3). Let s = d - 17\/2. Let o = 2 + 3. Sort s, -2, o in ascending order.\nAnswer: -2, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 8*f**2 - 6*f - 8. Let x be p(-7). Let l be (x\/(-25))\/((-1)\/(-5)). Calculate the smallest common multiple of 2 and 2*11*l\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 177*z - 181*z + 20156. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeie. What is prob of sequence ei?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 75, 41, 7, -27?\n\"Answer: -34*n + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -61, -28, 39, 152?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 675?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 7:37 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 6*q**2 + 6*q + 4. Let y be l(7). Let k = 8.8 - 4.8. Let s = 0.584 - 0.084. Which is the nearest to -1? (a) s (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/(16\/(-6)). Let v(y) = -5 + 0 - 2*y + y. Let j be v(-4). Which is smaller: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6494 divided by -191?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1. Let s(u) = -31*u + 124. Determine 124*j(d) + s(d).\nAnswer: -31*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8987 + -8991. Which is the nearest to 2? (a) -2 (b) g (c) 254\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, q: 11, n: 2}. What is prob of picking 2 g, 1 n, and 1 q?\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = -200. Suppose 3*q - x = 2*q. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjww when four letters picked without replacement from {j: 16, w: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**23*w\/(w**41*w) assuming w is positive.\nAnswer: w**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0 - -6 - 5) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 522 and 5307.\nAnswer: 31842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 + 12 = 0. Suppose 0 = -x*m + 6*m + 135. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 6. What is the tens digit of -1 + 18 + 27\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 0 = -4*r + 12, 0 = r - 2*u - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -130, -180, -250, -340, -450, -580?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -17*c**2 - c + 2. Let m(n) = -67*n**2 + 4*n - 5. Let h(j) = -m(j) + 4*o(j). What is h(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 11*q + 45 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 9:38 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*x + 5*x = 12, -8728*v + 4*x = -8723*v + 26 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x - 8. Let u = x - -12. What is the units digit of (-4)\/u - 218\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.5. Let t = -1.6 + 8.6. Let x = 7 - t. Which is the closest to x? (a) 5 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-3 + 1 - -5) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 0.79. Let p = v - -0.59. Let c = 6.06 - 6. What is the second biggest value in 1, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12039*0.3.\nAnswer: 3611.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**7\/90 - 23*r**6\/360 + r**5\/9 - r**4\/18 + 2*r**2. Suppose x(c) = 0. Calculate c.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8 = -28. Let y = n + -1. Solve y = 3*j + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -1.19.\nAnswer: -8.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6946 + 6919. Which is smaller: 150 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/3 (b) 1 (c) -2\/13 (d) 290\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 15) to base 3.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11450549969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110101100010 + -1111?\nAnswer: -111110101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.025 and 0.089441801944?\nAnswer: 0.114441801944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/3))**(-3\/35)*(m\/((m\/(m*(m\/m**(-21\/4)*m)\/m)*m)\/m)*m)\/(((((m**(2\/15)*m)\/m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(4609\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y - 435*y**2 + 14*y + 439*y**2 + (3 - 3 + y)*(-3*y + 6*y + 1 - 2*y).\nAnswer: 5*y**2 + 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (sqrt(350)\/(-1*sqrt(10))*-5)\/((sqrt(70)\/sqrt(5))\/sqrt(2)*-4)).\nAnswer: -20 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 2, v: 4}. Give prob of sequence qv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 223, 4\/7, 21?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/21640 and -103\/40?\nAnswer: 21640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/4)*k**(-2)*k**(2\/7)\/k**6 assuming k is positive.\nAnswer: k**(-209\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15654 and 18.\nAnswer: 46962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 219569 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -0.9. Let f = -1.9 + 2. Let a = 57\/7 + -641\/77. What is the closest to -1 in j, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*1391.\nAnswer: 18083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -109*q + 8. Let i(d) = 109*d - 11. What is 3*c(h) + 2*i(h)?\nAnswer: -109*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8722 + -8713. Let b(z) = -7*z + 56. What is b(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977856 a multiple of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94.507 + -94.107. Let o = 4088\/29 + -141. Sort o, h, -0.4 in descending order.\nAnswer: h, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -26. Calculate the remainder when 2\/(-7) + 256\/14 is divided by (-30)\/(-4)*(-16)\/b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -771 less than or equal to -770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 6*w + 3. Let t be i(-5). Let q(x) = 2*x. Let f be q(t). Let k = 0 - f. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*f + 24, 2*f = -3*f - g + 14. Which is the closest to 0.7? (a) 0.1 (b) f (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68012216 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z + 51. Let r be t(-6). Solve 2*u + 2*u = -5*s, 0 = 3*u - r*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by 1.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12966 and 103728.\nAnswer: 103728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nryyyssysjs. What is prob of picking 3 y?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 1113 = -1069 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -533646621 - 2?\nAnswer: -533646623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 21*h**2 + 2*h. Let q be i(-2). Let t be 6\/10 - 28\/q. What is the closest to 2 in -0.1, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 11552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 6:13 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 82 - 29 - 69*u - u**2 + 20*u - 323 - 44*u = 0.\nAnswer: -90, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -755, -1732, -3101, -4862?\nAnswer: -7015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) -145 (c) 3 (d) -1\/2 (e) -2 (f) -136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100110 (base 2) in base 3?\nAnswer: -10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274191544, -548383090, -822574636, -1096766182, -1370957728?\nAnswer: -1645149274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 0.02, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0*u**6 - 11\/6*u**4 - 66*u**2 - 1\/60*u**5 + 0*u**3 + 0 - 13\/42*u**7 - 3*u. What is the second derivative of l(y) wrt y?\nAnswer: -780*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 291018, 291016, 291014, 291012?\n\"Answer: -2*u + 291020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1416936733?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owhdchwhdwq. What is prob of sequence qdc?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/232*(-4)\/(-18)*(-448)\/(-3696).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (728\/8)\/13923*126\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 = -6. Let l(t) = t**3 - 4*t**2 + t + 2. Determine l(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4154, -8107, -12060, -16013, -19966?\n\"Answer: -3953*m - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3526665098 to the nearest integer?\nAnswer: 59386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + h - 1. Let z be (1 - 0)*-3*80\/(-15). Suppose 0 = 11*g - 7*g + z. Determine f(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 71.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 15*a + 25. Calculate u(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3696 and 24997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.6 - 1.55. Let v = 10 + -1. Let s = c - v. Round s to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l*l*l\/l**(-1\/9)*l*l)\/l)*l*l)\/l)\/l**1*l**(-6)\/l*l*(l\/(l**(-5\/6)*l)*l)\/l)\/(l*l**(-14)*l*l*(l**0\/l)\/l)**38 assuming l is positive.\nAnswer: l**(8725\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6769171 * -4.\nAnswer: -27076684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**2 + t + 4. Suppose n + j = 2*n - 9, 12 = 3*n + 2*j. Let m(w) = 14*w**2 + 3*w + 11. What is n*m(z) - 17*d(z)?\nAnswer: -z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14100)\/(-350))\/((2\/6)\/(455\/585)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80867754 and 1100682.\nAnswer: 1374751818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.4 (b) -19 (c) 3 (d) 1\/2 (e) -98\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 2:59 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 870 and 3828.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 5*b + 25, -1695*b - 5 = -1690*b + i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 7.03. Let j = -2 - -1.8. Let x = 4102 + -4105. What is the second biggest value in 5, j, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 9558*d - 9558*d.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 754505166?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 + 2)*(-1)\/(-2). Let t(l) = -l**2 - 4*l + 5. Let y be t(-4). Suppose -5*v + v + 63 = z*q, -57 = -y*q - v. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4418*l**2 + 4*l + 1. What is the hundreds digit of i(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1742.604 + 1732. What is i rounded to one decimal place?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/342*-3*(-2)\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/6 + 14*(-21)\/(-441). Let y = 2840\/11 - 258. Which is the third smallest value? (a) p (b) y (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 783 + -741. Let g(d) = 17*d**2 - 2*d + 1. What is the remainder when j is divided by g(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + h = -62, -n - 4*h = 31 - 7. Calculate the remainder when 3 + -5 + (0 - n) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*o + 134511*h + 9831*o - 11 wrt h.\nAnswer: -2*o + 134511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/30*(-28)\/49?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 4*w + 2. Let r be q(5). Suppose -r = -d + 2*d. Is -6 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51474209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 h, and 1 v when three letters picked without replacement from ccpppvchpccp.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 113260 and 129440?\nAnswer: 906080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5 = a, 2*c - 4*a - 24 = 0. Let n(j) = -19*j + 2. Let t be n(c). Let k be (-14)\/t - (-1)\/(-6). What is the nearest to 3 in k, 1\/3, 0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.073 + -0.213. Does -2\/7 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, 225\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 366*m + 5117. Calculate t(-13).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 24 + -3 + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**3*n**2 + 146*k**3 + 2*k**2*n**2 + n**2 wrt n.\nAnswer: -2*k**3*n + 4*k**2*n + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 633 = 5*w, 5*w - 1251 = 2*b - 4*b. Suppose 5*t = -4*i + b, 6*i - 2*t = 5*i + 161. What are the prime factors of i?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a**2 - 4*a + 4*a - 11*a**2. Let s(k) = -3*k**2. Give s(x(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.1 + -7.2. Let b = -101.9 + r. Let a = -101.0000265 - b. What is a rounded to six dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1167 - 1163. Let z = -1 - -1. Suppose 5*p - 14 = -2*h, 3*h - 6*p + 2*p + 2 = z. Which is greater: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4714 + 4715. What is the fourth smallest value in 0.3, -1.1, k, -3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 126 + 173 - 26 - 6*u**3.\nAnswer: -2*u**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 - 21 = 5*g, 4*d - 11 = -g. Suppose 9 = -3*z, -d*l + 4 = -4*l - 2*z. Sort 4, 3, l in ascending order.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/9 - -1\/9. Let z(b) be the first derivative of 0*b + 0*b**4 - 1\/6*b**6 + 0*b**5 - 1 - v*b**3 + 0*b**2. Find the third derivative of z(l) wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. What are the prime factors of 1\/s + 39\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3 + 124 = -3*b, b = 2*o - 63. Let x = -21 + o. Calculate the remainder when 49 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259731 is divided by 51943.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**3\/6 + 5*r**2\/2 - r. Let m(k) be the third derivative of 4*k**2 + 1\/6*k**3 + 0*k + 17. What is -g(n) + 6*m(n)?\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*h = -h + 14, w + 4*h = 8. Solve 5*c + 2*p = 15, -3*c - 2 = w*p + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 4*c**2 + 4*c + 3. Does 7 divide a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3129078657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -38. Let u = -38 - o. Let w(v) = 132999*v**3 + v**2 + 2*v - 2. Let q be w(u). Round q to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 7) to base 10\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + w = i - 26, 2*w - 2 = 0. Let f = -125 + 93. Let y = i + f. Put y, 0.04, 3 in decreasing order.\nAnswer: 3, 0.04, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-2\/17)*d))\/d*d)\/d**(-2\/5))\/(d**28\/((d*(d**(19\/4)*d)\/d*d)\/d)) assuming d is positive.\nAnswer: d**(-7389\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7593965215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74 or -77?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -108, 2, -123 in descending order.\nAnswer: 4, 2, -108, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*y. Find the third derivative of 2*n**2 + n**5 - 5*n**5 + y*n**5 + 0*n**2 wrt n.\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + b)*(-1 + 1 - b) + 4 - 4 + 3*b**2 - 4*b**2 - 3*b**2 + 4*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 4*p**3 + 5*p**3)*(-1 + 2 + 2) + 0 + 0 + 2*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**5 + j**4 - j**2 - j - 1. Let h(y) = 2*y**5 - 4*y**4 + 6*y**3 + 27*y**2 + 28*y + 10. Let i(a) = -h(a) - l(a). Factor i(z).\nAnswer: (z - 3)*(z + 1)**3*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 120 = 14*d - 10*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/60)\/(110580\/(-7275)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 - 1 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - -638. Suppose 5*k - p = -4*h + h, 3*h - 4*k = 617. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, w: 5}. What is prob of picking 3 w?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 52*q + 1. Let i(j) = -9302090*j. Calculate i(s(x)).\nAnswer: -483708680*x - 9302090","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1220, 4881, 10984, 19529, 30516, 43945, 59816?\n\"Answer: 1221*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*d + 191*d + 4351*d + 1868*d + 826*d in the form t + p*d and give p.\nAnswer: 7134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2521*d**2 - 2521*d**2 - 2*d**5 + 8*d**3 - 6*d**4.\nAnswer: -2*d**3*(d - 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 21906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -48. Suppose g*m + 2*m + 5*s - 37 = 0, 5*m = -s + 20. Suppose -m*h + 100 = h. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 10*v + 2550. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 23*f + 70 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 900 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 10:35 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.2 + 12.2. Which is the third smallest value? (a) j (b) 1\/5 (c) -5\/8 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26004.042 + -5\nAnswer: 25999.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d**2 + 2862*d - 2861. Calculate c(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4 + (-56)\/16. What is the tens digit of 32 - -6*n\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 3*r + 21, -809997*r = -810001*r + 3*b - 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Let w(g) = -37*g + 1109. Let h be w(30). What is the second smallest value in x, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**2 + m - 5. Let q be p(-1). Is 3 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 36. Suppose 0 = -0*d - d + q. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -511, -510, -509, -508, -507, -506?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305783393.\nAnswer: 547, 691, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*q - 68 = -1749 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*i + 22 = -6, -4 = 2*i. Suppose -5*f + k*f = 5*u - 13, -f = -u + 1. Suppose -u*p = -p - 16. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 8*u - 7. Let y be b(-6). Suppose 0 = y*w - 6 + 1. Let o = -2 + 3. Is w > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - d - 74 = -5*d, 0 = -2*d + 6. Suppose 5967 = -22*i + f*i. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13394613.\nAnswer: 3, 809, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28500 + 28500 + 3*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 + r**3 - 2*r**2)*(835*r + 116*r - 2863*r - 2) to l + t*r + n*r**3 + m*r**4 + i*r**2 and give m.\nAnswer: -1912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-154)\/(-770) - (687\/310 + -2). Which is greater: s or -26?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24579 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -186 * -4.\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5 - 10 = d, 3 = 2*b - d. Suppose 3*h - b*n = 219, -6 - 9 = -5*n. Suppose -h = -m - 3. What are the prime factors of m?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/13)\/q)**(4\/13)\/(q\/(q\/((((q**(-34)*q)\/q*q)\/q*q)\/q)))**(-2\/13) assuming q is positive.\nAnswer: q**(-888\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 3*v - 57. What are the prime factors of x(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15779.\nAnswer: 31, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*s - 35. Let m(d) be the second derivative of -d**5\/20 + 2*d**4\/3 + 5*d**3\/6 + 7*d**2\/2 - 420*d. Does 13 divide m(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 5*m + m + 20, -4*c = -m - 49. Let v = -8 + c. Solve -d - v = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10886, -24265, -37644, -51023, -64402?\n\"Answer: -13379*m + 2493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-8)\/z)\/z**(-3))**(-22))**(-8) assuming z is positive.\nAnswer: z**(-1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42933850 a multiple of 1303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 + -119. Let c be 6\/t + 9\/2. What is the third derivative of 52*s**6 - 6*s**2 - 2*s**c - s**6 wrt s?\nAnswer: 5880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2448) + -2)*-5*-5*2)**2.\nAnswer: -120000*sqrt(17) + 6130000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 48. What is the second derivative of -6*x**3 + 6*x**3 - 5*x**3 + 6*x - 4*x**m wrt x?\nAnswer: -54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4101*p**5 + 175*p**4 + 2*p**2 - 1169385*p + 5.\nAnswer: 82020*p**3 + 2100*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48332 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 (-110)\/77*119\/17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -9*z**2 - 1\/5*z**7 + 0*z + 0*z**6 + 0*z**4 + 1\/2*z**3 + 0 + 0*z**5. Find the first derivative of h(k) wrt k.\nAnswer: -168*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88.35 * -0.15\nAnswer: -13.2525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391948?\nAnswer: 2, 97987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*s + 12866 = 57*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.17, 3\/23, 5, -2\/7, 1 in decreasing order.\nAnswer: 5, 2.17, 1, 3\/23, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - 1 + 1 - 6 + (4 + 1 - 4)*(14*k**2 + 7*k**2 - 6*k**2) to the form x + m*k + f*k**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/5777 and -8\/47.\nAnswer: 271519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -4*k - 5*b, -2*k + 4 = 5*b + 25 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -24*a**3 + 31*a**2 + 9*a - 20. Determine v(3).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14*(-4)\/16*2. Let k(n) be the second derivative of -n**3\/3 + 3*n**2\/2 + 2760*n. Give k(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 + 0)\/(-3))\/1. Suppose 4*r + 2*b = -x*b - 6, 3*b = 3. List the prime factors of (-3)\/(r\/4*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -405, -457, -509?\n\"Answer: -52*g - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**3 + g**2 - 3*g + 3. Let y be x(2). Suppose m - y = -2*m. Suppose 5*p + 4*a = 253 - m, a = 3. Calculate the highest common divisor of p and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/63? (a) -1\/2 (b) -20\/17 (c) 3\/5 (d) -4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/13))**10 assuming u is positive.\nAnswer: u**(-40\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232140 is divided by 385.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 9091000 to the nearest 100000.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = -2*v - 5, -3*h + v = -25. Let u = -3 + h. Calculate the highest common factor of u and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 18*v - 615. What is u(34)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 13*u**5\/30 + 4*u**2 + 1803. Let z(l) = -95*l. Determine q(z(x)).\nAnswer: 234650*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 12 - 3)*(-6 - 12*k**4 + 7 + 4*k + 2*k**2 + 26*k**4).\nAnswer: 182*k**4 + 26*k**2 + 52*k + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 4*j + 4*f - 19, 3*j - 2*f = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60509\/8 - 7562. Factor x*m + 3\/4 + 1\/8*m**3 + m**2.\nAnswer: (m + 1)**2*(m + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 + 0*h - 85 - 2*h + 352.\nAnswer: -2*h + 342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -792703 - -1808516. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17719570241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26003222237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2126564 is divided by 2206.\nAnswer: 2186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7031013 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}