diff --git "a/data/dm_maths/full_data_1/10603_11255.jsonl" "b/data/dm_maths/full_data_1/10603_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10603_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 9088004 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/11 - 74818*h**2\/11 - 61228*h - 598688\/11 = 0.\nAnswer: -8, -1, 37418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 13*r**2 - 4*r + 26. Let o be a(11). Calculate the greatest common divisor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - -23. What is the remainder when d is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*j = -1954 - 691 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - s + 15*s + 25505*s**3 - 10*s.\nAnswer: 25505*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 u, and 1 k when four letters picked without replacement from kcccuua?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 257418964 and 4114?\nAnswer: 2831608604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*r - 23*r - 43*r + 37*r + 33*r - 10*r + 0*r + 3*r - 2*r + (-r + 5*r - 3*r)*(-3 + 4 + 0) as l*r + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 29*(0 + -1 - -2). Let f = k + -15. Let y = 5 - 3. Solve -5*o - b - 13 = 0, b - f = y*o + 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*g - 22 - 35 = 0, -4*g - 8 = 0. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9 + v**2 + 16 + v - 8 + 31*v**3. Suppose 0 = 10*n - 13 + 3. Is y(n) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyrllyullrulruyyr. Give prob of picking 2 u.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*-1*sqrt(114)*-6)\/((((sqrt(66) - (sqrt(66) + -2*sqrt(66) + sqrt(66)))*3 - sqrt(66)) + sqrt(66) - sqrt(66))\/sqrt(11)*-4).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28703, 57365, 86023, 114677?\n\"Answer: -2*v**2 + 28668*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 smaller than -0.02889356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + r + 4. Let q = -8 + 8. Let k be y(q). Find the third derivative of 4*u**3 - 3*u**2 - k*u**2 + 3*u**2 + 2*u**2 wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1507*q**3 + 10*q**2 - 68*q + 58. Let l(a) = 302*a**3 - 2*a**2 + 14*a - 12. Give -29*l(t) - 6*v(t).\nAnswer: 284*t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -571, -568, -575, -598, -643, -716, -823?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 62*s**2 - 306*s - 32560. Determine n(-65).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -25\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 340*t - 1342. Determine q(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30816 - 30809. Which is the nearest to 2? (a) -1 (b) 3\/5 (c) k (d) -4\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*o + 184*o - 857*o + 231*o + 223*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -14. Let u = 29 - b. Suppose -u*p + 4674 = -0*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3\/8 - 129*x**2 = 0. What is x?\nAnswer: 0, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + 0*o**5 - 2*o**5 + (14*o**3 + 0*o**3 + 0*o**3)*(-2*o**2 + 16*o**2 - 10*o**2).\nAnswer: 55*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/79 and (-4)\/(-3) + 0\/3.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*i**3 + i**3 + i**3)*(-46*i**2 + 128*i**2 - 26*i**2).\nAnswer: 112*i**5 - 112*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1587 + -1588. Which is bigger: 4\/237 or q?\nAnswer: 4\/237","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 2*x - 22 + 35.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**5\/13 + 98*n**4\/13 + 24*n**3.\nAnswer: -2*n**3*(n - 52)*(n + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqed when four letters picked without replacement from {r: 4, d: 1, u: 5, q: 3, z: 4, e: 3}.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 8*z**2 - 14*z + 4. Let s be d(-5). Which is the second biggest value? (a) s (b) -0.11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/15 - 21186*f\/5 - 63556\/15.\nAnswer: -2*(f + 1)*(f + 31778)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252288 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12\/5 + -53\/20. Which is greater: n or -2\/239?\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - -33262?\nAnswer: 33201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51.597841 - 51.6. What is i rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 6165.7, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 355 and 25.\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**4\/j))\/j**(2\/11))**(10\/13) assuming j is positive.\nAnswer: j**(-240\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 13) to base 14\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2741*n + 3782*n - 16874*n - 4019*n.\nAnswer: -19852*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 5) in base 7?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10705 is divided by 666?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from peeeepeeee?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 45. Suppose -j - 4*x = -27, -3*x - p = -3*j + 2*x. Suppose -3*o + 33 = -0*o. Calculate the greatest common divisor of j and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 2\/3, -1196?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-12))\/(20\/(-30)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - b + 7. Let d be -1*(-1)\/3*0. Let t(u) = -u**3 + u**2 - u + 2. What is the smallest common multiple of n(0) and t(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 787 - 277. What are the prime factors of c?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148830 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 649650, 649653, 649656, 649659, 649662, 649665?\nAnswer: 649668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l + 28. Determine p(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aooaoooaoooaao. Give prob of picking 3 a.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40796 and 72?\nAnswer: 734328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 16*s**3 - 3*s**2 - 18. Let c(u) = 31*u**3 - 5*u**2 - 35. Let a(o) = -3*c(o) + 5*h(o). Find the first derivative of a(k) wrt k.\nAnswer: -39*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 11. Let v be (-10 + -20)*1\/((-10)\/8). Is v at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 944\/91 or -0.0463?\nAnswer: -0.0463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**3\/3 - 6*h. Let f(z) = -5*z. Let l(x) = -3*x. Let b(n) = 4*f(n) - 5*l(n). Calculate b(d(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**3 - 28*f**2 + 22*f + 10. Let n(r) = -4*r**3 + 17*r**2 - 12*r - 5. What is -5*n(a) - 3*t(a)?\nAnswer: -a**3 - a**2 - 6*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77452 + 15.\nAnswer: -77437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 109?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/12 + 5*n**3\/2 + 5*n**2 - 13*n. Let p be 12 - (-1 + 3)\/2. Is 19 a factor of d(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1867 in 2, 2\/13, 180, -0.1, -0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 594 by -6.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*q + 8, 3*w + 4*q + 16 = -7. Let m be ((-25)\/15)\/(w\/(-21)). Is (-9)\/15 + (-3976)\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b**2 + 37*b**3 - 8 - 14*b**3 - 17*b**3 - 5*b**3 - 19*b. Let l be j(-13). Calculate the highest common divisor of 28 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2979 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(((-35)\/(-20))\/(-7) - (-2)\/(-8)). Let n = -6\/91 - 1\/13. Put n, -1, l, 1.3 in increasing order.\nAnswer: -1, n, l, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 2*p = 8*o + 463863, 0 = 5*o + 5*p - 463870. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 8*l**2 + 8*l + 5. Let j be d(-6). Let o = -84 + j. Let y = 82 + o. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35\/35 + (26 - 1). Let o be 70\/(-280) + s\/8. Solve -48\/5*z - 4\/5*z**o + 32\/5 + 24\/5*z**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r - 1. Let q be w(1). Let t be (q\/45)\/((-3)\/(-10)). Let z(o) = -o**2 + 3*o - 1. Let m be z(3). Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f - 1. Suppose 2*c = 6*c - 4. Let g be m(c). Sort 1, -5, g.\nAnswer: -5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -0.2. Let f = 5.7 - 5.2. Sort g, -5, f in descending order.\nAnswer: f, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/12)\/(-3*(-4)\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 5. Let b be (r\/(-42))\/(1\/(-12)). What is the highest common divisor of b and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 4*k**2 - 9*k - 2. What is the smallest common multiple of d(-5) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-63) + (-13226)\/18. Let m = w + 1059. What is the common denominator of m\/(-8)*(-3)\/(-63) and -47\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -94*a - 2. Let w(c) = 2*c**2 + 200*c - 394*c + 194*c. Calculate g(w(r)).\nAnswer: -188*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8788322*i**3 - 6630564*i**2 wrt i?\nAnswer: -52729932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1783\/16 in 5, 16, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 28.0314. What is q rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7482\/7 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3058 - 3058 - 877*y + 4751*y as t + i*y and give i.\nAnswer: 3874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420828 equal to 2420828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 302210 to the power of 1\/2, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/3, -1\/14, 4\/3, 324?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -242*m + 424834 - 456052 for m.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/15)\/(((-148)\/(-444))\/(3\/(-81))).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 0*x + 5*c - 15 = 0, 2*x + 3*c + 4 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-4 + 5 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 798*o - 26 + 548*o + 10 + 16 in the form c + v*o and give v.\nAnswer: 1346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -16*y**3 + 2*y**2 + 3*y + 1. Suppose 3 = 4*n + 3*c, 4*c - 4 = n + 19. Let z be a(n). Let j = z + -179. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 60 = -2*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10541444 + 304?\nAnswer: 10542152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16432731 - 11?\nAnswer: -16432742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.07988 to one dp.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*q + (3 + 0 - 1)*(-3*q - q + 22*q) to r*q + i and give r.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -587560 to the nearest one thousand.\nAnswer: -588000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32358*0.2.\nAnswer: 6471.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 22 = -3*s - 4*y, y = -2*s + 13. Solve -n = -4*q + s - 17, 4*n + q + 24 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddl when three letters picked without replacement from {d: 2, l: 1, i: 5, k: 1, v: 2, y: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*(-7)\/(35\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.472145 millennia in centuries?\nAnswer: 14.72145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhh. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4286*t + 1587*t - 76349 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1145 - -0.1855. Let g = 64 + -68. What is the third smallest value in -5, g, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/(1\/(-15)). Suppose p*a - 2*a = 66. Let m(r) = -r**3 - 6*r**2 - r + 2. Calculate the remainder when a is divided by m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901103283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -98\/5, 0.1, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.338398 to three decimal places.\nAnswer: 5.338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*q + 10, -b - 3*q + 20 = -0*b. Suppose 0 = b*r - 5, 9*r - 4*r = 4*c + 9. What is the third biggest value in 3, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfffsfffcfqfffaaaf. Give prob of picking 1 f, 1 c, and 1 a.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -62460 + -1354.86913?\nAnswer: -63814.86913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 495?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 10. Let s(m) = -7*m**2 + 11*m - 4. Let l(r) = 4*r**2 - 6*r + 2. Let q(z) = -5*l(z) - 3*s(z). What are the prime factors of q(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 2*o - 4. Let w(i) = -6*i**3 + i. Suppose 0 = -3*h + 10*h + 7. Let z be w(h). Suppose 2*g - 8 = 5*l + 13, -4*g + 27 = -z*l. Calculate u(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31277*b = 31308*b. Let q(a) be the first derivative of b*a + 1\/24*a**6 + 5 + 3\/20*a**5 - 3\/16*a**4 + 3\/4*a**2 - 7\/12*a**3. Solve q(c) = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.841383 rounded to the nearest integer?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19770 (base 12) in base 16?\nAnswer: -9204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3802582\/253 + 15030. Let x = d - -5787\/1012. Find the common denominator of ((-11)\/528)\/((-2)\/102) and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9\/19 + 43\/171. Let w(a) = 18*a + 3. Let j be w(-4). Let l be (-4)\/10 + j\/15. What is the closest to 0.1 in -2, l, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, w: 3}. Give prob of picking 4 h.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*i + 181 = i, -2 = 2*i. Let c be (1 + -2 + 0)*-2. Suppose 5*r + 48 = 4*f + c*r, 0 = f - r - 13. Calculate the highest common divisor of f and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f - 11. Suppose 3*h - 8*j - 38 = -3*j, -h - j = -10. Calculate the remainder when n(9) is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 56 = -4*c, -123*c = -122*c - 3*k + 19 + 11 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-five quarters of a day?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/29343 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - -2. Suppose -o*j - 96 = -27*j. Determine a, given that 5*a + 3*a + 3*a**4 - 9 + j*a + 5*a**2 - 23*a**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from xxqqqqqqq?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -31 (b) -5 (c) -1\/3 (d) -91 (e) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/(-42))\/((-2)\/(-14)))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -333*o - 988. What is the remainder when 202 is divided by l(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -364 - -81. Let y = -60 - s. Suppose -b - 3*h + y = -h, -2*b + h = -446. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -35*t - 144. Give m(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3338224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-16 - -22) + (-26 - 43)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -16. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 4. Let p = -5 - -8. What is the second derivative of -3*a - p*a**3 + w*a - a wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98491.73ml to litres.\nAnswer: 98.49173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1\/(26\/39).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okouuumfffssku. Give prob of sequence uf.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 - -86. Let g be ((-70)\/4 - -3)*2. Let t = -15 - g. Solve 5*h = 2*s - t, 4*s = q*h - 2 + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-5)\/((-425)\/34))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(55)\/sqrt(5))*3)**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.4? (a) -3 (b) 1.1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 269 = -185 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 2633 - 2570 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -197*a + 28004. Determine l(144).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*z = 844*z + 21801 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from onolouoy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(-9)\/(-6)*(3 + -46).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104707\/13678 + 12\/977. Let s(d) = 106*d**2 + 3*d - 2. Let o be s(3). Find the common denominator of o\/90 - (-6)\/27 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-3)*(-48)\/(-16). Let h be 12\/v - 13\/(-5). Suppose -a - h = -74. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 15*y + 9. Let b be c(15). Let o be b\/(-12) - 46\/(-8). Solve -2*t + 4 = t - o*d, 5*d = 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30396010 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(1 - (-756)\/(-762)) is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 8*i**2 - 33*i + 60. Is w(19) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 400092\/(-55) + (0 - -2). Let a = z - -7247. Let t = -11313\/445 - a. Is -1 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**6\/15 - 13*y**5\/20 - 181*y**4\/12 - 35*y. Find the third derivative of b(p) wrt p.\nAnswer: 48*p - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58205*n + 58134*n + 4899 for n.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*x = -171, -34*j + 37*j - x - 526 = 0. Let u = j - 74. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.101 + 0.481. What is the smallest value in 4, r, 2, 4\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 90 (c) 0.3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g + 46 = -26*g + 2*b, 80*g - 2*b - 1159 = 845 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*k + 11. Let z(m) = -m**3 - 2*m + 1. Let c(l) = 58*l**4 + 8*l**3 + 12*l + 67. Let u(d) = k*c(d) - 6*z(d). What is the derivative of u(n) wrt n?\nAnswer: -232*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 693671 and 1301652.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/720 - h**5\/120 + 5*h**4\/24 - 3*h**2. Let y(f) be the second derivative of s(f). Determine y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64134064*n**3*v**3 + 105*n**3*v**2 + 184477*n**3*v - 2*v**3 wrt v.\nAnswer: 384804384*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11*p - 3. Let z(a) = 11*a**2 + a. Give z(y(k)).\nAnswer: 1331*k**2 - 715*k + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2318, -3923, -5528, -7133, -8738, -10343?\n\"Answer: -1605*w - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**5\/60 + b**4\/24 - 5*b**3\/6 + 11*b**2. Let c be k(0). Let p(s) = -227*s + 6. Is p(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -933\/33733 - -1\/427. Suppose 0 - 6 = w. Let l be w\/14 + 16\/(-28). Which is bigger: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.0643342 rounded to one dp?\nAnswer: 17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -17202*a**2 + 17201*a**2 + 7*a + 15 - 9. Suppose 0 = -g + 3*i - 1, 2*i - 3 = i. What is y(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3843832461 plus 11434?\nAnswer: -3843821027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 32 = 4*t, t - 26*m - 137 = 5*m - 3*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 4579?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -14.5. Let q = -1 - t. What is the nearest to -15 in q, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 129 = 11*m. Solve m*s = 4*q + 22, -10*q + 5*q = 5*s + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 5*b**2 + 8*b + 12. Let k be v(-6). Suppose -p = -k*p. Solve p = -4*z + 19 - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 1\/9*q**4 + 0 - 46\/9*q**3 + 7840\/9*q + 224\/9*q**2 = 0.\nAnswer: -10, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 14*t - 33. Let n(s) = -15*s + 33. Let l(f) = 5*n(f) + 4*y(f). Differentiate l(d) wrt d.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 797.8 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162.12 + -158. Let d = q + -0.12. What is the closest to -1 in 5, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**2 - 6*k + 4. Suppose 2*r = 4*a - 24, 167*a + 4*r = 164*a - 15. Let s(j) = j + 1. What is a*s(q) + p(q)?\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, j: 4, k: 1}. Give prob of sequence hkhj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**5\/3 - 3700*j**4\/3 + 136448*j**3\/3 + 1568368*j**2\/3 - 567040*j = 0.\nAnswer: -10, 0, 1, 48, 886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2883*d - 18 - 1443*d + 2*d**2 - 1440*d.\nAnswer: 2*d**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 11*w**2 - 2*w - 14. Let t be x(6). Suppose 4*b - 14 = 3*b. Are b and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6680901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y = -43*y + 30*y + 432 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2080.4 or -1.22?\nAnswer: -1.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -271*l**2 + 3272*l**2 + 944*l + 1663*l - 368*l wrt l?\nAnswer: 6002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981774 is divided by 1429.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4218 and 2166.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**8\/26880 + o**7\/20160 - o**6\/1440 - o**5\/30 + 2*o**2. Let q(u) be the third derivative of n(u). Factor q(y).\nAnswer: (y + 1)*(3*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.453?\nAnswer: 0.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 0)\/(-3)*0. Suppose a*y + y - 11 = 0. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 t when four letters picked without replacement from {t: 13, u: 5}.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1067911\/426 + ((-15)\/18 - -1). Calculate the greatest common divisor of k and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/33, 0.1, -2, 7.\nAnswer: -2, -2\/33, 0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35.6 and -15.\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5759 (b) 1 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 316271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -221220 (base 3) to base 5\nAnswer: -10244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.083946174 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/19*405\/810.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12 - (-368670)\/90 - (-4)\/6. What is the highest common divisor of 114 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1369467\/500 or 2739?\nAnswer: 2739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-500)\/(-8) + 8)*6\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -2124?\nAnswer: -2126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 + 15. What is the units digit of q(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 4:41 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3075, 3077, 3079?\n\"Answer: 2*m + 3073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m = -252. Suppose -2*n - 119 + 27 = 0. Let g = n - m. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 e when three letters picked without replacement from {e: 8, n: 2, a: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 795\/(-13) + 18\/117. Let x = m + 85. Calculate the remainder when 69 is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2. Let s(u) = -10*u**2 - 6. Let w(j) = j**2 + 1. Let i(t) = s(t) + 6*w(t). Give i(v(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -862, -610, -378, -166?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*o, -104*v - o = -109*v + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (122\/(-42) + 3)*(20 - 17). Which is the second smallest value? (a) 6 (b) -0.061 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*o + 2, -5*o + 5 = -0*r - r. Suppose r*b + 5*b = g + 111, -g - 1 = 0. Calculate the remainder when b is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.122 + -0.1826. Let w = z - -0.06. What is w rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1507 + -1a?\nAnswer: 14a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/8)\/(f**7*f) assuming f is positive.\nAnswer: f**(-65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 1 - 5. Let o be (-12 + -2)*(-6)\/21. Let y = 6 - o. Solve -k*c = -10 - y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**5 + 3775*v**4 + 26610*v**3 + 45740*v**2 - 15160*v - 60960 = 0 for v.\nAnswer: -4, -2, 1, 762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, q: 6}. Give prob of sequence qx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -16aa?\nAnswer: 16a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, 116, -1, -5, 1 in increasing order.\nAnswer: -19, -5, -3, -1, 1, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -85? (a) 51 (b) 0 (c) 622.6 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9239*q - 18835*q - 2142 = -9443*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25819480 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*j*l**2 - 8*f*j*l + 2*f*j - 60947*f - 296*j*l**2 + 2*l wrt l.\nAnswer: 2*f*j*l - 8*f*j - 592*j*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 1:48 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4443 - 1153 = -2*k, 0 = -3*x - 5*k + 5584. Suppose -5*s + 3*i = -4649, 3*i - x = -4*s + 2*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 17. Let p be h(-10). Suppose 0 = p*q - y - 0*y - 9, y + 1 = -q. Suppose 14 = 5*v + q*v. Solve v*i + 10 = -0*i - s, -i + 4*s = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.1107.\nAnswer: 0.03321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*j = 0, 3*z - 30924*j = -30929*j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2. Let z(w) = -1771*w - 15 + 1774*w - 1. Calculate z(o(g)).\nAnswer: -9*g**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 + 16*b**2 + 31*b - 184. Calculate l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26411669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2 + 3*m - 2*m - 3*m + m. Let z be i(-4). Suppose -z*u = u - 33. Calculate the greatest common factor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8549 + -0.1451. Let h = 87\/5 - 17. Which is the closest to h? (a) 0.3 (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**1*y)**(-9)*y**(-4)\/y**(-3))\/((y**(-2\/5))**(9\/4)\/(y\/(y*y*y**1))**22) assuming y is positive.\nAnswer: y**(-531\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 452122399 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 1.4. Let k = y - -1.3. Let f = 0.2 - k. Which is the third biggest value? (a) -0.5 (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z - 12. Let g be w(3). Suppose g*k - 3*q = 4*k - 7, 0 = 2*k - 2*q + 18. Sort -2, k, 4.\nAnswer: k, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7*o + 4*g + 28 = 0, 0 = -5*o - 4*g + 4. Let m = 8 + -8. Suppose 0 = 5*n + 15, 4*d + 4*n - 6*n - 18 = m. Is d equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**49*o*o**2 assuming o is positive.\nAnswer: o**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 - y**2\/2 + y\/2 + 1\/2.\nAnswer: -(y - 1)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 8. Let h(k) = -k**3 + k**2 - 9*k + 5. Let y be h(0). Sort y, -0.2, l in decreasing order.\nAnswer: y, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 2*l + l)*(-2*l + 4*l - 4*l) - 51*l**2 + 50*l**2 - 1 - 2.\nAnswer: l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1650597 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203 - 131. What is the greatest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*h = v - 292*h + 33, 21 = -5*v + 7*h. Let i(a) = -13*a**2 + 10*a + 4. Let w(l) = 4*l**2 - 3*l - 1. What is v*w(j) + 2*i(j)?\nAnswer: 2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/((-3)\/41))\/(18\/(-1494))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-8 - 6) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+5774353612\nAnswer: 5774353612.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -63.8, 3\/5, -0.3?\nAnswer: -63.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -7*n + 20. Suppose 3 = n*k + 18. Put k, 1, -1 in decreasing order.\nAnswer: 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5 - 6392*s**4 + 410272*s**3 + 57528*s**2 - 3692772*s = 0.\nAnswer: -3, 0, 3, 67, 1531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -574 in ascending order.\nAnswer: -574, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -31.282 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(448))**2 + 4)*-5 - (((sqrt(448) + sqrt(448) + sqrt(448) + sqrt(448) + 1)*-2)**2 - sqrt(448))*-4.\nAnswer: 992*sqrt(7) + 78844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11707*g**2 - 11707*g**2 + 18*g**3.\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 366\/11, 4, 0.01, 0.3, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 9*x = -40. Suppose -3*o - x*o = -22. Let a be o\/6 - (-2)\/3. Solve 3*c + a = 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 5. Suppose -13 = -2*p - 3*a, -23*a + 22*a = -3*p + 47. What is the closest to j in -2\/5, p, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 13\/2*a**2 + 8*a + 0 + 7\/3*a**3. What is the remainder when b(3) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 303, 645, 957, 1209, 1371, 1413, 1305?\n\"Answer: -5*j**3 + 15*j**2 + 332*j - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*i**2*q**2 - 742*i**2*q + 4*q**2 - 1217*q + 2 wrt i.\nAnswer: -26*i*q**2 - 1484*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i**2 - 2734*i + 43522. What is c(16)?\nAnswer: -2014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*b - 526*b + 264*b - 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.11 (c) -0.06 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 10 = 4*s, -43*m - 14 = -45*m + 5*s. Solve 9 = o + 5*n, -22 = -4*o - o - m*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, r: 2, y: 2, o: 6, n: 5}. Give prob of picking 3 n and 1 r.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.838 + 12117?\nAnswer: 12117.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8*k + 339. What is m(42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373178133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 16.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191616 and 2176?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 2*l - 1. What is o(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 16 = 2*r - h, 5*r - 17 = -h. Suppose 3*m = -3*v + 2355, -r*m + 0*m = 5*v - 3925. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 - -11. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 34789.\nAnswer: 34786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - -128. Calculate the remainder when j is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*s - 4, -2 = u - 0*s - 3*s. Let k = u + 16. What is the remainder when (2 - (-3 + k)) + 97 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*v = 6, 2*l + 1 = -2*v + 13. Solve l = -18*q + 19*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2363, 5, -323, 4\/7, -0.2, 1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**5 - 24*m - 42*m**3 + 36*m**2 - 22*m**3 - 9*m**4 + 58*m**3 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411698673?\nAnswer: 3, 17, 896947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 11. Let y(k) be the first derivative of -k**2\/2 - 8. Determine y(f(b)).\nAnswer: 2*b**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 + 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -1073219?\nAnswer: -536609.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 37*j**8\/56 - 3*j**4\/2 - 25*j - 37. Let c(d) be the first derivative of k(d). What is the third derivative of c(v) wrt v?\nAnswer: 4440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000034167 rounded to 7 dps?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**4\/12 + j**3\/6 - 2*j**2. Determine r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*b - 5*q - 7, -4*b - 3*q + 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*m**3 + 3*m**3 + 4*m**3)*(-12402 + 126*m + 12402) to the form g*m**3 + o*m**4 + p*m**2 + f*m + b and give o.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/21))**17 assuming v is positive.\nAnswer: v**(-34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:03 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6031 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/(5\/(400000\/(-12))). What is z rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.05 times 0.4?\nAnswer: 62.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569 + 1137 - 568 + 3*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 40 + 25 = -7*g, -19 = -2*c - 5*g. Solve -x - 11 = -4*v - 4*x, c*v - 5*x + 27 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -775*t**3 + 59*t**3 + 299*t**3.\nAnswer: -417*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4887*d*t**3 - 12*d*t + 141560*t**3 with respect to d.\nAnswer: -4887*t**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 546850 divided by -80?\nAnswer: -54685\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 37 = -32 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2*c**2)*(0*c**2 - 3*c**2 + c**2) - 129*c**4 - 136*c**4 + 6*c**4 to u*c**4 + z + m*c**2 + x*c + g*c**3 and give u.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8b39 + -2?\nAnswer: 8b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 207, -12, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5, -9, 5298 in descending order.\nAnswer: 5298, 16, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 497763519 and 347.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/12*-10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 258 - 251.68. Let w = -6 + z. Round w to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b07 (base 12) in base 4?\nAnswer: -10023313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6*w\/(w\/((w*w**(-8))\/w)))**(-8)\/(w**(-1\/9)*w**0)**(1\/24) assuming w is positive.\nAnswer: w**(3457\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 8 = -4*v + 4*u, -5*u - 18 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o = 0, 5*k + 25 = -4*o. Suppose 3*g + 2*d + 33 = 0, 5 + 16 = g - 2*d. Sort g, k, 4 in decreasing order.\nAnswer: 4, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -5, 61 in increasing order.\nAnswer: -5, 2, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 10. Let t = j + -10. Let s(m) = m**3 - 7*m**2 + m - 8. Let d be s(t). Which is the closest to 0.2? (a) -0.1 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 1:07 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -414 or -166?\nAnswer: -414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t + 24. Calculate y(18).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.218374 rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 864 and 33937380?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 7:58 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**1)*y)**(-12\/13)*(y**(-1))**(-26) assuming y is positive.\nAnswer: y**(326\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39774840*c**4 + 2*c**2 - 150896761*c - 2?\nAnswer: -954596160*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 2:52 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 139*r**2 - 5126*r + 2182819. Let l(h) = -52*h**2 + 1709*h - 727606. Let g(x) = 3*j(x) + 8*l(x). Suppose g(p) = 0. Calculate p.\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s - 10. Let q(h) = -13*h - 7. Let x(u) = -16*u - 6. Let p(a) = -3*q(a) + 2*x(a). Give -5*j(m) - 6*p(m).\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005278 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 535919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 1.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmgxply. What is prob of sequence lym?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 449376 and 52548.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53 and -6.\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3.3 times -0.0093276\nAnswer: -0.03078108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 8\/3 (c) -6 (d) 0 (e) -154\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4345404 and 39882.\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 2*m = -7*k + 20, 16 = -4*k + 4*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76321341561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/205 and -26\/25.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 2*k - 39*k**2 - 4*k**2 - 3*k + 8*k in the form o + c*k + r*k**2 + p*k**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1559 (b) -3\/2 (c) 0.5316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -234*j + 225*j + 46 - 1. Solve j*i + 2 = -23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5 + 29*r**4 - 78*r**3 - 4*r**2 + 104*r = 0.\nAnswer: -1, 0, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -7\/20*r**5 + 0 - 1\/3*r**3 + 0*r**4 - 2*r - 1\/2*r**2. Let t be m(-1). Solve h = -h + t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18271 and 54209?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -634.5 + 634.1. Which is the second biggest value? (a) z (b) -0.38 (c) -3 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 14 = 2*u, 3*r - 10 = 2*r + 2*u. Suppose -3*h + r*h = 5*t - 24, -t + 12 = 3*h. Is 6 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 19 = 3*b. Suppose z - b*z = -2037. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/8)\/7*6\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33382, -33409, -33438, -33463, -33478, -33477, -33454?\nAnswer: -33403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 6*w**2 - 16*w - 11. Let a be m(-8). Let o(n) = 2*n**2 - 10*n + 22. What are the prime factors of o(a)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -956 - 77. Let w = 6 - v. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -54584656600 and -0.3.\nAnswer: -54584656600.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -706?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f**2 + 3*f - 2. Let l(d) = 8*d**2 - 3*d + 2. Let s(x) = 6*l(x) + 5*y(x). Let b(n) = n**2 - n. Calculate -5*b(m) + s(m).\nAnswer: -2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 996 divided by 249?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 7*z**2 + 5*z + 9. Let x be f(-7). Let g be 13\/x*(72\/(-3) - -2). Solve -3*q - 2 = -g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27831.62 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2585*g - 85939 = -54910 + 74956 for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2376*p**3 - 2373*p**3 + 4750*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 2*i + 1. Suppose d + 8 = 4. Let k(t) = 4*t**2 + 5*t + 1. Let c(q) = -21*q**2 - 26*q - 5. Let o(w) = -2*c(w) - 11*k(w). Give d*o(p) - 6*a(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - ((0 + 2 - 4) + 1). Suppose j = 2 + g, -20 = -4*r - 4*j. Suppose 1\/2*f**2 + 0*f - 1\/4 - 1\/4*f**4 + r*f**3 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2018*u + 2018*u - 16*u**3.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2. Suppose 6 - 2 = -h, 0 = 2*v + 4*h + 14. Let k(t) = -t. Let l(j) = 42*j. Let w(g) = v*l(g) + 36*k(g). Give w(r(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, t: 2}. Give prob of sequence tggg.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77176691?\nAnswer: 77176691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**2 + 4*r + 7. Let c(p) = 3*p**2 - 2*p - 3. What is -7*c(i) - 3*d(i)?\nAnswer: -3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7649, -27, 17 in descending order.\nAnswer: 17, -27, -7649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 6*r - 4*r)*(2*r**2 + 9*r - 9*r + r**3).\nAnswer: -6*r**4 - 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -126*x + 113. Let f(m) = 64*m - 60. Determine -11*f(z) - 6*j(z).\nAnswer: 52*z - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p + 8*p - 10*p - 18*p to the form z + h*p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20\/3557 - 173688\/3055463. Find the common denominator of q and -43\/6.\nAnswer: 5154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuui when four letters picked without replacement from {i: 6, u: 3, p: 4}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -328 - -63. Let d(t) = t**2 + 9*t - 5. Let u be d(-10). Calculate the remainder when (1*-1)\/(u\/q) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 300 + -4?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13275518*y**4 - 479940 wrt y?\nAnswer: 53102072*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 38. What is the units digit of (-6 - -6)\/(-3) + 9*q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*a*p**3 + 5*a*p**2 - a*p - 15*a - 6 wrt p?\nAnswer: -12*a*p**2 + 10*a*p - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1019850056 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 568865559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 10118144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - 123. Let q = -39 - f. Which is the second smallest value? (a) q (b) 0.5 (c) 2\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671107?\nAnswer: 113, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j + 381. Determine g(38).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 17*d = 44. Let x(i) = 12*i**2 + 2*i**3 + 10*i**d - 27*i**2 + 7*i**2 - 1 - 5*i**3. Determine x(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*f + 5*q - 12, -4*q - 32 = 0. Let m = -1 - -13. What is the third biggest value in m, f, 2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 166 + 434. Does 40 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/96 and 101\/1536?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4942377 divided by 10449\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {x: 11, o: 2, a: 2}?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3 + 5*x - x - 5*x. Let y = 5 + -2. Give b(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14247000 to the nearest one hundred thousand.\nAnswer: -14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11*c**2. Let q(m) = -m. Let t(b) = -3*b. Let n(y) = -5*q(y) + 2*t(y). Calculate i(n(l)).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 23 = -5*d, 8*d - 4*d + 2*m - 18 = 0. Let c(g) = 42*g - 56. Let o be c(d). Calculate the highest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 20 = 3*j + 4*r, r + 9 = 3*j. Suppose -j = -l - 1. Calculate the remainder when 19 is divided by l*-1 - (-48)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 4*v - 4*v + 4*v + 2*v - 4 + 2*v + 4 + (-4 + 3 - 1)*(-3*v + v + v) + 4*v - v - 2*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 7:54 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 14*q**3 + 14*q**2 - 11. Suppose -6*n + 3*n = 0. Let f be 6*(0 + n + -1). Let g(u) = 5*u**3 + 5*u**2 - 4. Calculate f*i(z) + 17*g(z).\nAnswer: z**3 + z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*24\/(-32)*(-4)\/(-42). Which is the closest to s? (a) 3 (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16324.\nAnswer: 2, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.059 - 1.941. Let m = -13 + 18. What is the third biggest value in m, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)*q*q**(11\/5)\/q*q)**(6\/5)*((q\/((q\/(q**(-2\/3)*q))\/q))**(-2\/9))**(6\/7) assuming q is positive.\nAnswer: q**(-9472\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-6))\/(w\/(w\/(w\/(w**(-16)*w*w)))) assuming w is positive.\nAnswer: w**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 3193?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 158 or 6218\/39?\nAnswer: 6218\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 149. Let h = 232 - o. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((w**2*w*w)\/w)\/w*w)\/w**(1\/3))\/(w**(1\/40)*w*w*w*w**(-30)) assuming w is positive.\nAnswer: w**(3677\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 - 595 = -t, 4*j + 2*t = -2. Solve -48*z + 46*z = 4*l + 26, -2*l + 4*z + j = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40883, -40887, -40901, -40931, -40983, -41063?\n\"Answer: -k**3 + k**2 - 40883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25 and -54263354992?\nAnswer: 54263354967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (-2 - -6)) + (-12)\/(-3). Suppose -3*g + 0*g = n - 31, -5*n = 3*g - 11. Solve y*p + 0*p = g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -101, -344, -809, -1568, -2693?\n\"Answer: -12*c**3 - 3*c**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 8) to base 2\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**4 + 76*i**3 - 256*i**2 + 240*i = 0.\nAnswer: 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 + 267 = 4*f. Which is smaller: -1\/554 or f?\nAnswer: -1\/554","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14*(-9)\/378)\/(2\/12). Solve 7*j - 2*j + 18 = z*q, 5*j + 22 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 a factor of 31405824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*i + 35. Let q be (-80)\/i + 2\/(-7). Solve -q = -4*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/22)\/(-8)*1.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4099 and 177.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxyxxxxxxxxxx. What is prob of picking 3 x?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = -12*m + 68, -5*u - 548 = -u + 2*m + 553 - 1099 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36\/11 - 147\/55. Suppose 12*u = -1238 + 1286. Which is the closest to 2? (a) d (b) u (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2. Let g(d) = -10*d**2 - 4*d + 4. Suppose z = 4*z - 87. Let m = z - 25. Let p(v) = -v**2 - v + 1. Let w(j) = m*p(j) - g(j). Determine w(y(i)).\nAnswer: 96*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017991025 to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011834973 rounded to 7 dps?\nAnswer: -0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68.22 + 100.22. Put 5\/6, y, 19 in increasing order.\nAnswer: 5\/6, 19, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 9*r**2 - 7*r + 6. Let l be n(-10). Let t be l\/30*1\/(-4). Which is the second biggest value? (a) t (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d - 2. Let x(p) = 12*p + 9. Let r = 25180 + -25176. Let q(c) = 2*c**3 - 3*c**2 - 4*c + 3. Let m be q(3). Give m*a(u) + r*x(u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -393.212.\nAnswer: 39.3212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-6) - 5)\/((-2880)\/(-1458) - 2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 295\/6. Let m(c) be the third derivative of 0*c - 2*c**2 + 0 + h*c**3 + 1\/24*c**4. Differentiate m(u) wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -11*c**2 + 3*c + 4. Calculate m(3).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 265968555 divided by 88656185\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r**5 + 29*r**4 - 33*r**3 + 15*r**2 - 2*r = 0 for r.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 1. Let a(c) = 2*c**2 + 11. Let x(u) = a(u) - 5*f(u). Find the first derivative of x(o) wrt o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 17*b - 62. Let u(z) = 20*z**2 + 2*z + 1. Calculate the remainder when u(2) is divided by j(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f + 0*f**4 + 2*f**4 + 12*f**2 - 11*f**2 in the form t*f + x*f**4 + g*f**2 + b + z*f**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15018 by 6.\nAnswer: -2503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9324160 by 145690.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29997*s - 29974*s + 161 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-3 - 1 - -6)) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + (sqrt(833) - (-2 + sqrt(833) + 0)) + sqrt(833) - -5*sqrt(833)*1)*3)**2.\nAnswer: 1764*sqrt(17) + 367389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 102)\/(6\/27*3). Let o = 224 + d. Let j = o - 56. What is the remainder when 118 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.106 - 11.106. What is the smallest value in -4\/9, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132748638 take away 0.5?\nAnswer: -132748638.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 19. Let i be n\/(-440) - 4\/10. Which is the biggest value? (a) i (b) 0.5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**6\/120 + y**5\/4 - 21*y**4\/8 + y**3 - 9*y**2\/2 + 63. Let v(j) be the third derivative of n(j). Factor v(h).\nAnswer: -3*(h - 7)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3232 - 824 = -104*y for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1300839 - 38?\nAnswer: 1300801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120573 + 30987313\/257. Is -1 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155 - 128 + 186)*(11*d - 11*d + 6*d**2 + (2*d**2 - 3*d**2 + 2*d**2)*(1 + 0 + 0)).\nAnswer: 1491*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/12*(-120)\/(-6). Suppose 0 = -5*x - 4*o + 30, -x + g*o - 6 - 17 = 0. Solve 0 = -b - 7 + x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.6542 litres in millilitres?\nAnswer: 82654.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) -2 (c) -7 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99125*j**4 + j + 51971?\nAnswer: -1189500*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 49. Suppose -5*l + 55 = d*l. Suppose 8*q = l + 51. Let o(n) = -n**3 + 6*n**2 + 8*n - 7. Determine o(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -12*d**4 - 156387*d**3 - 38883*d**2 + 2776158*d + 4456944 = 0?\nAnswer: -13032, -3, -2, 19\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/11 and -55\/1676.\nAnswer: 18436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003388101 to five decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, t: 1, q: 3}. What is prob of sequence tqgg?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2. Let z(a) = 6*a + 8. Give c(z(i)).\nAnswer: 72*i**2 + 192*i + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 781351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96881510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/60 - u**4\/4 + 2*u**3\/3 + u**2. Let b = -3 + 3. Suppose b = -4*z + 16 + 4. Calculate l(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 25896*r**2 - 12952*r**2 - 12944*r**2 + 45*r**3.\nAnswer: 45*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300151, 1200620, 2701411, 4802524, 7503959, 10805716?\nAnswer: 14707795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/8 - 6\/(-8). Let t(z) = 7*z + 2 - 10*z - 4 + m. What are the prime factors of t(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 1271*a - 103801. Calculate n(77).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = 0, -3*g = -4*t + 8*t - 20. Suppose -3*z = -g*h - 34, -43 = -0*z - z - 5*h. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74250 + 122501. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1*4)\/(-2))\/(32\/(-8))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*t + 2 + 7, -8 = -4*t. Suppose -2*d = -5 - 5. Let f be d\/2*(-16)\/(-20). Solve q - f*q = -p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3520575 and 1850?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -258 - -256. Let s = -203.1 - -203. Which is the nearest to s? (a) j (b) 5 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1017 and 28815.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296855*q + 296855*q + 28*q**2.\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -23*b + 4. Let k(p) = -41*p + 6. Let w(h) = 3*g(h) - 2*k(h). Let i(r) = -128*r**2. Give i(w(t)).\nAnswer: -21632*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 3*y**2 - y + 3. Let p = 4 - -9. Let l = -7 + p. Let k(s) = 2*s**3 + 5*s**2 + 2*s - 5. Calculate l*k(v) + 10*d(v).\nAnswer: 2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.37 and 0.023.\nAnswer: -0.00851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -36. Suppose 6447 = z*n + 15*n. Calculate the remainder when n is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 4*u**2 - 4*u + 7. Let d(v) = -v**2 - 1. Let f be d(2). Let c be r(f). Suppose c*o = 4*o - 8. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 15 = -5*j, j - 2*j - u + 3 = 0. Let i be 31188\/72 + 3\/(-18). Let s(g) = -434*g**2 - 3*g + 869*g**2 - i*g**2 - 3. Give s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) - 260\/15. Let t = -10 - g. Calculate the greatest common divisor of t and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 470*c*h*u**2 - 2*c*h*u + c*h - c*u**2 - 10*h*u**2 + 691*h*u wrt c.\nAnswer: 470*h*u**2 - 2*h*u + h - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 8*f - 4. Let t be w(-8). Let r(g) = -g**3 - 2*g**2 - 6*g - 6. Let m be r(t). Solve -2*s**3 - m*s + 50*s + 2*s**2 = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from pgipiiggiigiggppgipi?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*b + 16. Sort 3, b, 0.04, -5\/3 in increasing order.\nAnswer: -5\/3, 0.04, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-278)\/(-4)*90\/(-5). Find the common denominator of 2\/6 - w\/(-270) and -14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2076340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r + 6. Suppose p = -r*p + 12. What is the highest common factor of p and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 12*f = 262500. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 10412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -4)*(-1)\/2. Is 20 a factor of y + 19\/2*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*b + 27. Suppose 0*i + 5*i = 85. Suppose 0 = m + 2 - i. Calculate the remainder when b is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708 is divided by 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j. Let d(a) = -9*a - 1. Let s(i) = d(i) + 3*g(i). Suppose -5 = -2*x - 1. Let z(h) = -17 + 12*h**x - 14*h**2 + 17. Give z(s(v)).\nAnswer: -72*v**2 - 24*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 6, 48773 = 3*j + 38*w - 42*w. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-936) - 25061\/10374?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o = -21. Suppose z - o = -0. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1705*w + 328 = -1844*w - 1201 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 y when three letters picked without replacement from xxxxyxnxxxyxhxxtxxx.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 1. Let y(u) = 6*u + 7. Let f(l) = 5*i(l) + y(l). Let d be f(-5). Let x be ((-6)\/(-153))\/(d\/(-9)). What is the nearest to 0 in x, 3, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 21*x - 58. Let a(p) = 4*p**2. Determine a(r(y)).\nAnswer: 1764*y**2 - 9744*y + 13456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1.8.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 46*r + 48. Give y(-44).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/(-10) - (-2)\/20*2. Let s(h) = 8*h - 10. Let m be s(v). Let u = -58 - -133. What is the highest common divisor of m and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604 a factor of 742395728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14 + -1 + 0 + 2. Let k be (-86)\/(-10) - (-6)\/l. Suppose 0 = 3*i - 4*i + k. Calculate the highest common factor of 45 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 - 10*f + 8. Let g be y(6). Let z(o) = g*o - 14*o - 22*o - 22*o. Let d(t) = t**2 - 3*t**2 + 0*t**2. Determine d(z(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -124*1\/(-6)*3 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*h - 735 + 501 = 720 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -621 - -6830\/11. What is the closest to 10 in 1.1, u, 2\/15?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8325*a - 24994. Determine j(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 7 - 4*f**2)*(-3*f + 9*f - 4*f + 4) as k*f**2 + s + t*f**3 + d*f and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 0*g**4 + 0*g + 0*g**3 - 5*g**2 + 4\/15*g**5 + 0. Let l(t) = t**2. Calculate l(i(j)).\nAnswer: 256*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -79. What is the remainder when 53 is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 47 + 10*s - 15 - 17.\nAnswer: 10*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 1432193*q - 2864381*q + 1432186*q.\nAnswer: -2*q + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*g + 23. Let o = 35 - 46. Is o at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5481335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*v + 797*v + 61600 + 96668 = -544*v for v.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvhvv. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/(4\/60). Sort 8, b, 1.\nAnswer: b, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -k - 1. Suppose -10 = -25*n + k*n. Suppose 12 = n*h - 6. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 15) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -78*o**2 - 4*o + 3. Give s(-1).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.68 + 7.32. Which is the third biggest value? (a) 3 (b) 3\/4 (c) 5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((33*(-2)\/(-12))\/(2\/(-4)))\/1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (39 - 30) + 23\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 10:49 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105746?\nAnswer: 2, 37, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30526299911\/1652 + -18478387. Let v = -305\/59 + p. Find the common denominator of v and 670\/72 - 6\/27.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g - 3*g)*(2 - 4 + 1) - g + 2 - 2 + (-2*g - 3*g + 3*g)*(2 - 2 + 3).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 782 and 6647.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 271531781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 34709 - 34709.05. Let x = -0.6 - 2.4. What is the fourth smallest value in u, x, 2\/11, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 + 79*l + 24. Let n be q(-20). Suppose 0 = 32*v - n*v + 19092. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/8)\/((-9)\/(-216)). Let d = a - 13. Suppose -3*l - d*y = 16, 3*l + 2*y = y + 4. Solve -3*j = -l - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -236 + -2*2\/(-4). Suppose -u - 368 = -a + 3*u, -2*u - 362 = -a. Let l = b + a. What is the greatest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003477988 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162147.\nAnswer: 7, 166021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g - 88 - 26 = 0. Calculate the greatest common factor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80994.194 times 0.1\nAnswer: 8099.4194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 211.4.\nAnswer: 211.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7*w = -h - 23, -5*h + 30 = 4*w. Let k be (((-6)\/6)\/((-2)\/20))\/h. Let 0*n + 2\/7*n**k + 0 + 6\/7*n**4 + 2\/7*n**2 + 6\/7*n**3 = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 4*a**2 + (5 - 5 + 3*a + 4*a - 3*a + 0*a + a + 0*a - 2*a + (-1 + 0 + 2)*(-3*a + 5*a - 4*a))*(-3*a + a - 4*a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q + 480 + 348 = 0. Solve -2*y + q = 3*l, -4*l - 1 = -3*y - 2*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -35 - -33 - 1\/((-1)\/6). Let q(w) = 5*w**2 + 7*w - 49. Let z(m) = 2*m**2 + 4*m - 24. Let k(p) = s*q(p) - 9*z(p). Is 35 a factor of k(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**3 - 3*d**3 - 2*d**3 - 4*d**2. Let i(y) = 2*y**2 - 42*y + 21. Let c be i(20). Let p = -23 - c. What is v(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 775\/50 - (12 - 2). Is 6 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 - -103. Let m(g) = -26*g**2 + 4*g + 33. Let s(u) = -77*u**2 + 11*u + 97. Let f(w) = q*m(w) + 4*s(w). Differentiate f(y) with respect to y.\nAnswer: -44*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 - -3?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 7*v**2 - 3*v - 7. Let b = -23 - -16. Is w(b) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(200) + sqrt(200)*-2 + sqrt(200) + -3 + sqrt(200) + sqrt(200))**2.\nAnswer: -160*sqrt(2) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2 + 21 = 3*c, -c = 4*d - 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-515)\/((-2458610)\/(-2604)))\/(5\/(-11)*8\/10)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*c = 338, r + 4*c = -0*c + 169. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {x: 1, w: 2, j: 1, d: 1, q: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 + 2360 = 10*p. Let g = p - 246. Let f(o) = o**3 + 7*o**2 + 4*o - 6. Let a be f(-6). What is the greatest common factor of g and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 75. Let q = 36 - y. Suppose -b + 4 + 4 = 0. Calculate the least common multiple of q and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 + 5. Let n(z) = -6*z**2 + 9. Let i = 17 - 10. What is i*h(a) - 4*n(a)?\nAnswer: 3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 19518 = -z, -3*v + z = -9543 - 5106. What is the least common multiple of 33 and v?\nAnswer: 53691","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 25121883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -144.1 - -48848.7\nAnswer: 48704.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52798 is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(26)\/sqrt(2) + 1)**2.\nAnswer: -4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 8*r + 17. Suppose 0*l + 16 = -4*l. Let y be h(l). What is the third derivative of 3*i**4 - y*i**4 - 3 + 3 + 11*i**2 wrt i?\nAnswer: -336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/62552 and 77\/160848.\nAnswer: 1125936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101 - -2121?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + 3 + 8*k**3 - 10 as n*k + i*k**3 + u + y*k**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to -6378661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -484 divided by 6.\nAnswer: -242\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.117, -494, -0.4?\nAnswer: -494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*u**2 + (-2 + 2 - u)*(26*u - 42*u + 28*u) + (-5*u + 2*u + 4*u)*(7*u - 4*u - 2*u) - 3*u**2 + 5*u**2 - 4*u**2 + 2 - 2 - u**2.\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2 - 7*j + 3. Let w(s) = 5*s**2 + 8*s - 4. What is 6*p(l) + 5*w(l)?\nAnswer: l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 6*f - 11. Let g be b(7). Let m(t) = -4*t**2 - 44*t + 56. Let w(u) = 4*u**2 + 44*u - 54. Let v(a) = g*w(a) - 3*m(a). Solve v(z) = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/15*(-2)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/56*35\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250, -11, -464, -1109, -1946, -2975?\nAnswer: -4196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -360 or -361?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15066683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7138.411 litres in millilitres?\nAnswer: 7138411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 11. Suppose y - 8 = -s. Solve -3*n = -2*a - 17, 0*n + n = -4*a + s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/18 and 75\/3212?\nAnswer: 28908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 4*k)*((-4 + 0 - 1)*(-207 + 60 - 133) - 2 + 6 - 2)*(4 - 3 - 3).\nAnswer: -8412*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -444*y**2 - 423*y**2 + 70*y**2 - 11*y**2 - 60*y**2 + 129*y wrt y.\nAnswer: -1736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54 - 63) + (4 - 0 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -19 + -28 + 43.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -33. Let d = -98869 - -98887.0028. Let l = d + b. Round l to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/212 and (49 + 0)*148\/47064.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60579 and 2217573.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -156519838 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45\/4 - 11. Let o(p) = p - 8. Let c be o(12). Suppose -c = -v - 5. What is the nearest to v in 3, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h**2 + 7*h**2 - 12575*h + 13*h**2 + 12573*h.\nAnswer: 49*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzd when three letters picked without replacement from gcddddbdczpdpd?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*m + 63*m + 11 = 2*h, -4*h = m + 5. What is the greatest common divisor of 93 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 4. Suppose 12*w + 4*w = 0. Suppose -m + w*m + 22 = -3*p, 0 = -4*m + 2*p + 48. What is l(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 6 - 4 + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1446)\/(-9)*5*(-234)\/(-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -72. Which is the closest to 3\/8? (a) 3\/8 (b) -1\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -437836, -875745, -1313654, -1751563, -2189472?\n\"Answer: -437909*q + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 6*h + 2*h)*(261*h**3 - 47*h**3 + 568*h**3 + 142*h**3) to the form i + z*h**3 + g*h**2 + o*h**4 + y*h and give o.\nAnswer: 6468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 23964.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5 - 2 - 2*x**2 + 5 - 8. Let h(d) = -53*d**2. Give h(m(k)).\nAnswer: -212*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31541, 30674, 29803, 28928, 28049, 27166, 26279?\nAnswer: 25388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -13*v**2 + 2*v + 2. Give h(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 144? (a) 1\/5 (b) -47 (c) 3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*k**2 - 7 + 14*k**2 - 1 - 51*k**2 - 57*k**2.\nAnswer: -190*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-48) + 0\/1. Let s = 131\/16 - h. What is the common denominator of -83\/18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 + -69. Let q(k) = -k**2 + 13*k - 32. Let x be q(j). Put 1, -2, 0, x in ascending order.\nAnswer: -2, 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*l = -90*l + 9270. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 12:54 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**4\/12 + 3*h**3\/2 + 4*h**2 - 6*h. Suppose -254 = -35*y + 761. Calculate the remainder when y is divided by u(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5154\/11 and -470 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24020.6723 rounded to the nearest 100?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18975 and 2722050.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 7. Let m be u(-3). Let z = -230\/7 - -33. Sort -2\/3, m, z, 0.4 in decreasing order.\nAnswer: m, 0.4, z, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2 - x - 14. Let a(h) = 2*h**2. What is 3*a(z) + y(z)?\nAnswer: z**2 - z - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**4 + 828*q**3 + 1085?\nAnswer: 8*q**3 + 2484*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + d = 25*d - 31 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(5\/3)*f)\/f)**(-9)\/(f**(5\/2)\/(f*f**(3\/10))))**1 assuming f is positive.\nAnswer: f**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**(-17)*g\/((g*g\/((g*g**(-22))\/g)*g)\/g) assuming g is positive.\nAnswer: g**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83464?\nAnswer: 2, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 8*a**2 + 4*a + 2. Let o = 47 - 42. Let c(z) = 1. Let h(p) = o*c(p) - s(p). Differentiate h(y) with respect to y.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7831*y - 5. Let g(m) = -1922*m. What is g(i(a))?\nAnswer: 15051182*a + 9610","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2 + 9. Is h < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111111 + -101?\nAnswer: -1010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3519, 7053, 10591, 14133, 17679?\n\"Answer: 2*l**2 + 3528*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 670823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - z. Let y be m(1). Let r(j) = -j**2 + 5*j. Let h be r(5). Suppose 3*n - 5*d = -h*d + 8, 0 = 5*n - 5*d. Which is bigger: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 894 + 401 = 56*t + 287 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 10:49 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s + 4*t + 16, 4*s - 36 = 4*t. What is the remainder when 89 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3426, -6887, -10348?\n\"Answer: -3461*s + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7767 divided by -2589.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**3\/3 - 15*g**2 - g. Let x be h(13). What is the second biggest value in x, 3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -219608.498 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -30*b**2. Let x(l) = 10*l + 21. Give x(c(z)).\nAnswer: -300*z**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*t - 2. Let k = t + -3. Let m(b) = -b - 4. Let p be m(-5). Is p > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/7, -2\/273, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3584)*4)\/sqrt(8) + ((sqrt(70) - (sqrt(70) - (sqrt(70) + (-3*(sqrt(70) - (sqrt(70)*-1 + sqrt(70) + sqrt(70))) - sqrt(70)))))\/sqrt(10))**2)*4.\nAnswer: 128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11210254 + -442?\nAnswer: -11211140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -49. Let s be (3 + (3 - k))\/(-1). Solve x + 0 = s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 6:41 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002926414674 rounded to seven decimal places?\nAnswer: 0.0000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2825*c**3*g**2 - 68*c**2*g**2 - 2*g wrt c.\nAnswer: -16950*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, x: 4, b: 1, h: 4}. Give prob of sequence hx.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594*y**2 + 569*y**2 - 1077*y**2.\nAnswer: 86*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 248*d - 2988. What is f(12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12758987.\nAnswer: 1049, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 13*k**3 - 13. Does 52 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16552 is divided by 4136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 + 86*h\/11 + 480\/11.\nAnswer: -2*(h - 48)*(h + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.9 - -0.9. Let k = 50 - 50. Let t be (-2)\/24 - 1\/4. What is the closest to k in 3, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 165597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, h: 1, w: 2, l: 2}. What is prob of picking 2 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmby when four letters picked without replacement from mmbyt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmnvvvmmnjvnmvjmnjnj. Give prob of sequence nvn.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1466 is divided by 192.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5470*b + 14 + 8.\nAnswer: -5470*b + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 4*b + 3. Suppose 1 = -3*m + 10. Calculate the remainder when 9 is divided by i(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000289906701 rounded to 7 dps?\nAnswer: -0.0002899","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 y, and 1 e when three letters picked without replacement from zzozzeyzzzzyzy.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496 = -70*t + 101*t. What is the remainder when 48 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274.01097 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*q - 13 - 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1527754 + 0.1\nAnswer: 1527754.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 18 - 12)*(-3*r - 1 + 1).\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j - 8 = 0. Let u(z) = -z**2 + 2*z + 4. Let l be u(j). Let w be l\/(-10) + (-8)\/20. Solve 4*o - 3*o = w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1*2\/1 - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7a228 + -3?\nAnswer: 7a225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = -2*z - 11, 0 = 4*z - 3*p + 37. Let q(l) = -l**3 - 11*l**2 - 9*l + 3. Calculate q(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 3*w - 3 - w**2 + 2*w + 5. List the prime factors of r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/727? (a) 2\/3 (b) -2 (c) 1\/2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express r + r**4 - r**4 - 2*r**4 + (0*r + 0*r + 2*r**3)*(5*r - 3*r - r) + 5*r**4 + r**4 + 3*r**4 in the form g*r**2 + j + k*r**3 + n*r**4 + i*r and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2490773?\nAnswer: 673, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 159 - 197.9. Let g = -38.87 - s. Let y = -4 - -4.5. Which is the third biggest value? (a) -3 (b) g (c) y (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177944 - 95265 = -5560*d + 330377 + 13574 for d.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86771565.\nAnswer: 3, 5, 1928257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 766*f**4*p - 610*f**3*p - 11*f**2*p - 4122*f**2 wrt f?\nAnswer: 18384*f*p - 3660*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33534 - -33574. Sort r, -2\/9, -1\/3, -5, -1.\nAnswer: -5, -1, -1\/3, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38468255 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011 - 101001222?\nAnswer: -101020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 less than 0.5?\nAnswer: -101.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**3 + 13503*g**2 - g - 30117?\nAnswer: 3*g**2 + 27006*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -26. Let s be 216\/63 + (-6)\/q. Solve -3*n = -2*f + 9, -3*f - s*n + 6 = -0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5218*y - 2. Let d(o) = -5223*o + 2. What is -3*d(a) - 2*k(a)?\nAnswer: 5233*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3 + (1*sqrt(1050) + sqrt(42))\/sqrt(6))**2 + sqrt(21)\/sqrt(3) + 0 + sqrt(28)\/(sqrt(12)\/sqrt(3))).\nAnswer: 76*sqrt(7) + 522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6179, -6151, -6123, -6095, -6067, -6039?\n\"Answer: 28*x - 6207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 + 2*i**2 + (-4*i + i - 2*i)*(3*i - 5*i + 4*i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1585.9 + 1587.944. What is i rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44635639 to the nearest integer?\nAnswer: 6681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -694*s**3 - s**2 - s + 1. Is z(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 134*v - 28 = 382, 28 = 2*m + 4*v for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + f**2 - f - 2. Suppose -2*t = 3*t. Let l be q(t). Let k(i) = -2*i**2 - 4*i - 2. Determine k(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/22 - (-80)\/44. Let l(n) = -3 - 2*n + 5*n**o - n - 4*n**3 - 2*n**2. Let h(i) = -i**3 + i**2 - i - 1. What is -3*h(p) + l(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15094 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*w + 54*w + 49*w + 52*w - 13*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1490388, 1490411, 1490434?\n\"Answer: 23*j + 1490365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51529 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**3 - x**2 - x - 1. Suppose 4*w - 3*s + 7 = 0, -3*w + s + 11 = 2*s. Let y be a(w). Let q be 26\/5 + (-5)\/y. Let g(p) = p**2 - 5*p. What is g(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*m - 173*m + 228 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4004\/(-12948) + (-160)\/24 + 5 - (-2)\/1.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - a - 10 = -3*l, -5*l + 52 = -4*a. Let j(p) = 12 - 6*p - l. Let f(o) = o. What is j(f(g))?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9354 - -9438. Suppose -3*j = -2*j - 28. Calculate the greatest common divisor of j and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-97\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 15749*k**2. Let c(z) = -249*z**2. Determine n(c(v)).\nAnswer: 976453749*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 721 - 720.9998902. Round k to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 46 = -22*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 5*n - 37*n = 17*n. What is the fourth smallest value in -2\/5, 24, -0.1, 1\/27, n?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 650, 1295, 1922, 2531?\n\"Answer: -9*v**2 + 672*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.68532 years in centuries?\nAnswer: 0.6568532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwqd when four letters picked without replacement from qwdbnpw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*-0.316\nAnswer: -0.4424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(484)*-2 + sqrt(484) + sqrt(484))\/sqrt(11))**2 + (sqrt(11) + (sqrt(704) + 5)**2 + sqrt(11))*4*3 + -1.\nAnswer: 984*sqrt(11) + 8772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 157 and (24\/10)\/(176\/(-440)) - (-2 - 23)?\nAnswer: 2983","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38 and -57987486.5.\nAnswer: -57987448.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j + 106*j**2 - 11*j + 11*j as o + w*j + a*j**2 and give a.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**3 - 2 + 4*k**3 - 15*k**4 - 3*k**3 - 2*k**3 as n + c*k**3 + w*k**2 + s*k + v*k**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 889*y + 8100. Let b be d(9). Factor b + 3*t + 1\/8*t**2.\nAnswer: (t + 12)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/((6\/(-15))\/((-16)\/(-10))). Let s be (12\/(-10))\/(28\/g). What is the nearest to s in -5, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 70, 163, 294, 463, 670, 915?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 - 7*i + 1. Let x be l(5). Let c = 165 + x. Is c a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - g**2 + g - 1. Let c be b(1). Suppose 7 - 10 = -u. Solve -2*w - u*p = -1, p + c = 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 6*m**3 + 12*m**2 - 6*m - 9.\nAnswer: -3*(m - 3)*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -1283*s + 1270*s. What is the remainder when 5501 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 17084*w - 759440.\nAnswer: 4*(w - 4315)*(w + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 71, 18, -203, -646, -1365, -2414, -3847?\n\"Answer: -9*i**3 - 3*i**2 + 133*i - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnf when three letters picked without replacement from fnnnnnnnnnnnnnnfnn?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 + 100 = 4*k, 4*w + 4*k + 3 = -13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 12. Give z(-15).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 1. Let r be d(0). Let t be 8844\/144 - (-6)\/(-8)*r. Let v = -61 + t. What is the biggest value in -0.4, v, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 924 and 80542?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 + 3*w**2 - 4. Let a(b) be the first derivative of -b**4\/2 + b**3 - 3*b + 98. Calculate -5*a(s) + 4*t(s).\nAnswer: -2*s**3 - 3*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 2*c + 4*c)*(-38*c**3 + 6*c**3 - 4*c**3) as n*c**3 + t*c**2 + g + w*c + k*c**4 and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:53 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = -2*f + 93, -k - 5*f + 18 = 0. Suppose -k = -0*b - b. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/3 + 107738*w**3\/3 - 431048*w**2.\nAnswer: 2*w**2*(w - 12)*(w + 53881)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6637, -6643, -6653, -6667?\nAnswer: -6685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29320605?\nAnswer: 3, 5, 89, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7726 divided by 13\nAnswer: -7726\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 96556500 to the power of 1\/2, to the nearest integer?\nAnswer: 9826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**3 - 5*o**2. Let g(y) = 3*y**3 + 2*y**2. Calculate 2*c(u) + 5*g(u).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9)*(132\/16)\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/14)\/(135\/(-294)*140\/(-1140))\nAnswer: 76\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 23. Let m be i(11). Suppose -4*g - 4*f + 4 = 0, 4*f + 4 + 22 = 2*g. Are g and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 1 - 7. Suppose 0 = -m*j + 5*z + 89 + 52, 3*z = 9. What is j rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -124.\nAnswer: -124, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -0.03 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11561 + 3230?\nAnswer: -5331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 87, 85, 83, 81, 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**29\/(f\/((((f*f**48)\/f*f)\/f)\/f))*f\/(f*(f*f**22*f)\/f)*f*f*f**(-3\/20)*f assuming f is positive.\nAnswer: f**(1097\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 476136773378 - -3\nAnswer: 476136773381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2. Let g(s) = 2723908*s**2. Determine h(g(u)).\nAnswer: 29678699169856*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-550)\/15*(0 + 1 + -4). Suppose g - 6*g + t = 0. What is the smallest common multiple of 16 and g?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25658 - -29?\nAnswer: 25686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530658546.\nAnswer: 2, 3, 11, 353, 22777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 539\/(-18326) - 2008\/5712.\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*u + 22, 4*u - 4 = 6*u. Suppose -3*c = -5*z + d, -z - 2*z + 9 = 0. Suppose -3*y + 66 = c. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l - 58*x = -53*x + 28 + 171, 0*x + 48 = 2*l + 4*x for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61f (base 16) in base 12?\nAnswer: -aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3771*d - 2*d**2 - 3792*d - 2654 + d**2 + 2654.\nAnswer: -d**2 - 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddyydvyvddyddyy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -12 - ((41 - 4) + -27).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-142)\/1491)\/(-2*4\/(-48))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5759993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379565.\nAnswer: 3, 5, 11, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43371 + -43344.693. Let m = f - 26.2. Round m to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 158 - 158.2. Which is the nearest to 5? (a) -5 (b) 2\/15 (c) 1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 9 - c - 4. Let a be h(-5). Let r be (-6)\/(-27) + 2376004\/a. What is r rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-16)*16\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrnrrrrrvrneeeerenee. What is prob of sequence vnv?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768 + 1841 = -195*c - 1139 - 1298 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*r - 3*s - 16670 = -115*r, -r = -4*s - 3334. List the prime factors of r.\nAnswer: 2, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**3 + 166*p**4 + 4*p**2 - 139*p**4 - p**3 wrt p?\nAnswer: 648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 132*j**3 - 185*j**2 - 9*j + 15. Is y(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(63\/6) + (-1236)\/(-476) and -20\/11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 6:54 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 + 172*b**2 - 201*b - 81. What is the units digit of j(-58)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2*g = 0, 0*g = -3*r + 2*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/72*3366\/(-33)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33001 (base 6) to base 8\nAnswer: -10671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*b - 701 + 328 = 938 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, -3.7, -4, 36882?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*o - 821, z + 97 - 415 = -2*o. What is the greatest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36143925248*l**2\/5 + 209176192*l\/5 - 302642\/5.\nAnswer: -2*(134432*l - 389)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 1444?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1400*x**3 + 0 + 1420*x**3.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*c = -65*c - 66 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 454907 + -0.6?\nAnswer: 454906.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j - 285*j - 3899 = 230*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -13481*b**2 - 253 + 514 - 261 as q*b + w*b**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1473, -2939, -4401, -5859, -7313, -8763?\nAnswer: -10209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*s + 121*s - 2340 = 105*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000017160953 to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 1376\/129)*(-306)\/(-30)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n*n\/n**(-2\/31)*n*n)\/n*n)\/n)\/(n**14\/n))**47 assuming n is positive.\nAnswer: n**(-13019\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2 + 35761725*d + 35761722 = 0. What is d?\nAnswer: -11920574, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*t**2 + t - 3*t**3 + 4*t**3 - 7*t - 1 in the form a*t**2 + j + y*t + m*t**3 and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcfelffl. Give prob of picking 1 e and 1 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -3*f**4\/2 - 5*f**3\/3 - 35*f**2 - 22. What is the second derivative of t(r) wrt r?\nAnswer: -36*r - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755 equal to 513847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 6:19 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -15*g - 21 - 14 + 17*g. Let p be a(18). Calculate the common denominator of 19\/148 and (p\/(-3) - (-13)\/26)*69.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4403*o + 1. Let g be p(-1). Suppose 4*h - 4*d - 10400 = 0, -d - 2612 = -h - 6*d. Let m = h + g. Round m to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7660 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.0708 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 1, 5, 1061 in decreasing order.\nAnswer: 1061, 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 310703195*s - 389599876 wrt s?\nAnswer: 310703195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 43. Which is smaller: v or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/48*(-828)\/(-19251)?\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/2 + (-18)\/9. Let y(l) = 4*l - 33*l**m - 5*l + 34*l**2 - 2. Suppose -4*v + 12 = -2*a, -3*a + 0 + 10 = v. Determine y(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*b = -97*b - 126*b + 1036 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -24*s**2 - s + 1. Let z(v) = -v**2 - v + 1. Let h(j) = -i(j) + z(j). Let a(q) = -2*q**2. Give a(h(o)).\nAnswer: -1058*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -q - 145. Let b = q + -28. Let a(c) = c. Let h(v) = 6*v - 1. Calculate b*h(o) - 4*a(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -56*g**3 - 20*g**2 - 20*g + 20. Let d(t) = 8*t**3 + 3*t**2 + 3*t - 3. Give -20*d(u) - 3*q(u).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbjbbxxrjxvxxxvbxb. What is prob of sequence jrv?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -18. Suppose 4*o + 20 = 0, 3*r + 5*o - 5 + 24 = 0. Suppose 0*b = 4*b. Solve 0 = r*l - b - t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2. Let c(m) be the first derivative of -2*m**3\/3 + 47*m - 126. Determine c(o(y)).\nAnswer: -32*y**4 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -598, 2, 4, -4 in increasing order.\nAnswer: -598, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6523232 is divided by 251.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74 - -83) + 120\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v + 13*v + 14291 - 15979.\nAnswer: 3*v - 1688","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 223587.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xuyjtr. Give prob of picking 1 t, 1 x, 1 j, and 1 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29596646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 12846434030.494?\nAnswer: -12846434033.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1717229?\nAnswer: 1717229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**5 - 10*k**4 - 4*k**3 + 16*k**2 - 4. Let s(c) = 2*c**5 + 10*c**4 + 3*c**3 - 15*c**2 + 6. Let y(r) = 3*h(r) + 2*s(r). Solve y(z) = 0 for z.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -52515552*x**2 + 5*x + 52515545*x**2 - 5*x. Let s(b) be the first derivative of 13*b**2\/2 - 1. What is n(s(p))?\nAnswer: -1183*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 67381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -2. Let v be b - (2 + 20\/(-6)). What is the third smallest value in v, 1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*c - 186 + 810 = -96 - 486 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11781\/(-833)*(-8)\/144*-3*-7?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**2 - 6*j**2 + 9*j**2 + 0*j**2. Let z(r) = 44*r**2 - 6. Calculate g(z(q)).\nAnswer: -1936*q**4 + 528*q**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94539*q**4*w - q**3*w + 2*q**2*w - 3*q**2 - 5*q*w - 235 wrt q.\nAnswer: -2268936*q*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4946398.47 and 8514.\nAnswer: -4937884.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.26404\nAnswer: 0.13202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((17 - 11) + -8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = n - 31. Solve 0 = c - n*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3556 (base 8) to base 10\nAnswer: -1902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4271, 8528, 12785, 17042, 21299?\n\"Answer: 4257*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -25 (b) 1813 (c) 5 (d) 4\/9 (e) -0.2 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1058\/5 + 1321\/10. Let t = c + 319\/4. Find q, given that -5\/2 - 7\/4*q - t*q**2 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 17*f - 10. Let v(s) be the third derivative of -3*s**4\/8 + 5*s**3\/6 + 21*s**2. Let h(j) = -11*v(j) - 6*w(j). What is h(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times -1\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2671)\/(-21) - (-24)\/(-28). Which is smaller: 127 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 14 - (-52 - -23 - -24).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 29*v**7\/210 - 43*v**3\/6 + 32*v**2. Differentiate j(c) wrt c.\nAnswer: 116*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 16\/117 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from {b: 2, y: 1, q: 1, d: 4, z: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1606 and 203522?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 12*v**2 + 28*v + 2. Let t be m(-14). Let n be (12\/430)\/(t*(-2)\/(-20)). Which is the smallest value? (a) 0 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7592258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207231 and 1489611?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39657.836 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 74, -467, 4, 1\/4, 0.4, -2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -11\/7, -22\/5, -5, -2\/9?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 1. Suppose -s*x = -12 - 0. Solve 4*w + x*y = -0*w - 11, 5*w + 5*y = -20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1084 and 849.\nAnswer: 920316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5\/5 - 50884*q**4\/5 - 34789544*q**3 - 75585486056*q**2\/5 + 151693018828*q\/5 - 75933534164\/5 = 0. What is q?\nAnswer: -6107, -509, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - 9*l + 4. Let f(t) = 5*t**2 + 20*t - 9. Let k(i) = 6*f(i) + 13*s(i). What is k(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 104 = -10*y. Suppose 5*h - 3*h + 1 = 3*x, -x - y = -4*h. Let u be 3*2\/x - 2. Solve u = k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552734 is divided by 276366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621982?\nAnswer: 2, 307, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c**2 + 47*c + 7*c**2 - 47*c.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 22*l**3 - 2*l**2 + l. Give h(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 2*d**2 - 2*d + 4. Suppose 3*s - 2*l - 2 = 0, -2*l = -3*s + 2*l + 4. Let y be w(s). Solve -2*j + c = 11, y*j - c + 19 = 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 308 = -4*k. Let u = k - 95. 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 -1112111 (base 3) in base 4?\nAnswer: -101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:16 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9192 = 11*o + 9181 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.005 + 0.005. Which is the third smallest value? (a) y (b) 5 (c) -0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 240*v + 11620. Give q(56).\nAnswer: 1316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66343.040623 - 66343. Round y to 3 dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*a + 161 + 7*a - 109*a + 25*a + 9 wrt a.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((5 - -9)\/1)\/((-4)\/6). Let c be (-93)\/d - 20\/(-35). Suppose -c*v = -3*z + 40, 4*v + 5*z + 8 = 3*v. Let u(i) = -i**3 - 8*i**2 - i - 3. What is u(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*l - 904, 3*v - 2*v = -l + 301. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1218*x + 21919. Calculate o(19).\nAnswer: -1223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 323*b**4\/3 + b**3\/3 - 218*b**2 - b + 23. Find the second derivative of h(c) wrt c.\nAnswer: 2584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*d - 3925, 0*d - 3*d = 2*a - 2355. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m - 1. Determine j(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 - 70*v + 69*v - v**3 + 3*v**2 + 0*v**3 + 4*v**3 - 5*v**3 + (-4*v**2 + v**2 + 0*v**2)*(-v - 2*v + 5*v) + 5*v**3 - 4*v**3 + 2*v**3.\nAnswer: -2*v**3 + 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/27 - (2 - (-12)\/(-20)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1634 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3268*11\/10998 - 0. Let l = 13134 - 5555666\/423. Let n = l - j. What is the common denominator of n and -47\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*g - 88, -5*g - 5*k + 11*k + 18 = 0. Suppose 11 = -4*h + 15. Sort g, 2, -2, h in increasing order.\nAnswer: -2, h, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 67684*b + 541216.\nAnswer: 4*(b + 8)*(b + 16913)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3629 - 3621. Put -17, a, 5 in ascending order.\nAnswer: -17, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 5:22 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*l + 6*l. What is the remainder when l is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21114635?\nAnswer: 5, 4222927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27250708, 54501411, 81752114, 109002817, 136253520?\n\"Answer: 27250703*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57390?\nAnswer: 2, 3, 5, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 32 - 2*n)*(4 - 2 - 3) + (2 + 5 + 5)*(-n - 2*n + 0*n).\nAnswer: -34*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*w + w + 0*w + 15*w**2)*(4*w - 2*w + 0*w).\nAnswer: 30*w**3 - 84*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 272.91 - 252.989. Let v = q - 19.8. What is v rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -74*w**4\/3 + 812*w**3\/3 + 7570*w**2\/3 + 68*w = 0.\nAnswer: -6, -1\/37, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243567177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(5133\/(-696)*-4)\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10\/1243 + 1213\/3729. Let z(g) = g**2 - 16*g + 2. Let o be z(16). Solve 5\/3 + t*s**o - 2*s = 0 for s.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166 by -119.\nAnswer: -166\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = -4*f, -7*f + 3*m + 12 = -4*f. Suppose 0 = -30*d + 36*d - 24. Solve -f*r + d = -4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/84 and -151\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/64 and -103*(121 + -119)*2\/104.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 15704.\nAnswer: -17\/15704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 5:28 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.32*36.\nAnswer: 119.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 9*y**2 - 10*y + 2. Let a be d(-10). Differentiate 4 - 5 + 5 - 2 - a*t**3 wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000105 to 6 dps.\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -727, 724, 2981, 6050, 9937?\n\"Answer: v**3 + 397*v**2 + 253*v - 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 6*q**2 - 16*q**2.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51758325 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/10)\/(6\/8))\/((-4)\/(-1))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*d. Suppose 3*z - 11 - 1 = d. Suppose z = 5*o - 61. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 + 4*h + 12. Let t(c) = -11*c**2 - 9*c - 25. Suppose -632*d + 756 = -716*d. Calculate d*x(y) - 4*t(y).\nAnswer: -y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - f)*((-9 - 9 + 0)*(-3 + 4 - 3) + (-2 - 3 + 4 + (-2 + 0 + 1)*(3 + 2 - 7))*(5 - 3 - 1)) in the form c*f + b and give c.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 291271005 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*x + 65*x = -15*v + 87, 4*v - 4*x + 823 = 819 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 1. Let n be (-5)\/2 - 175\/(-50). Let q(g) = 8 - 10 + 0. Give n*q(t) + 2*u(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:15 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 1182?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -33\/157?\nAnswer: -33\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 1924 = -38*z + 12*z + 3164 for z.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8188 - 26*g - 8188.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -436257*h**2*t**3 - 3*h**2*t**2 + 2*h*t**3 + 278*h*t**2 + 3*t**3 - 457*t**2 wrt t?\nAnswer: -2617542*h**2 + 12*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 at most as big as -2.7109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/61?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-108)\/6*(-1)\/3. Suppose -7*z + f = -6*z. Suppose -5*t + z = -9. Solve 5 = -5*g - 0, -5*p + 12 = t*g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 121062 = -4*g - 5*y, -2*y = -10. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beb when three letters picked without replacement from {e: 1, h: 1, b: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 12*o**2 - 284*o + 184 = 0.\nAnswer: 2\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1597\/3 + -533. Which is the nearest to -2\/25? (a) 2\/7 (b) x (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*2\/56)\/(9*9\/54)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 - h**3 + h**3)*(30 + 1 + 10) + (-3 + h + 3)*(0 + 1 - 2)*(-3 + 3 - 4*h**2).\nAnswer: -119*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hggghgrrggggrgrmg. Give prob of picking 3 r and 1 g.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (4\/(-10) - (-1248)\/(-330)). Let v = -2.5 + 2. Put 1, k, v in decreasing order.\nAnswer: 1, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*o + 27*o - 40. Calculate the remainder when 51 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) + sqrt(112)*-1 - sqrt(112))*-6 - sqrt(112) - sqrt(112))\/(sqrt(72) + sqrt(2)))\/(-2*sqrt(1152)*2*-5).\nAnswer: sqrt(7)\/420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-1 - -148))*-4*(-35)\/(-14). Put 3, b, -1 in decreasing order.\nAnswer: b, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g + 29. Let s be x(12). Which is greater: s or -27?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 23*c + 246 = 64 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -555330, -555331, -555332?\n\"Answer: -y - 555329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110575, -111076, -111577?\nAnswer: -112078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(35)\/(sqrt(5)*-2)))\/(-4*(sqrt(125) + -3*sqrt(125))).\nAnswer: -sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qayj when four letters picked without replacement from {h: 2, y: 1, q: 4, j: 1, a: 2}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 13*q - 5. Let l be i(-10). Let h = l - -41. Let w(d) = d**2 - 4*d - 2. Determine w(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111010000 (base 2) in base 6?\nAnswer: -4304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 417071111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = -3*q + t, -2*t = 6. What is the units digit of (-131)\/(((3 + q)\/(-3))\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y + 3. Let w be n(0). Let q be 4\/(-7) - w\/7. Is (3 + q)*(-771)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(68) + -1 - sqrt(68)) + -5)*4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8677 rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q + 35 = 0. Calculate the remainder when q*(-7)\/(49\/6) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*s - 8790, -2*s = -4*f + 11915 - 219. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-392)\/(-4752) + 6\/81 and 31\/6.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/3*24\/(-120)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*d = 43*d - 40. Solve -2*h + d = -4*r, -r + 1 = -5*h + 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60687 or 2834?\nAnswer: 2834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1370*l**2 - 3 + 3 + 1216*l**2.\nAnswer: 2586*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 4. Let m be a(-3). Let u(v) = -v**3 + 2*v**2 - v - 1. Let r be u(m). What is the nearest to r in 5, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 10*t**2 - 68*t - 666. What is the least common multiple of k(-10) and 5348?\nAnswer: 5348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252517 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: Suppose 3*r - 6 = 4*m - 4, 3*r + 3*m + 12 = 0. Suppose 5*p - 29 + 9 = 0. Let f = r + p. What is the smallest common multiple of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4408 and 91379.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + (25 - (26 + -4)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6433716 litres in millilitres?\nAnswer: 643.3716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7ce1 (base 16) in base 6?\nAnswer: -404001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10043 - 10687. Which is greater: -641 or m?\nAnswer: -641","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.266, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + x + 1. Let v = 25306 + -25303. Let z(i) = 24*i**2 + 3*i + 3. What is v*r(o) - z(o)?\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-9))\/((-1)\/36). Let k be ((-10)\/3)\/(4\/n). What is the highest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 8 = -5*u - 24, 4*q - 20 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1169.9 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50486 is divided by 2642?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11221012121 - -1020020?\nAnswer: -11212222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30909 divided by -3.\nAnswer: -10303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**3 - 7512. Let p(d) = -2*d + 1318. Give p(f(w)).\nAnswer: -6*w**2 + 1318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y. Let r = 21 + -21. Let c(t) = -2*t**2 - 2*t + 3. Let q be c(r). Let w(n) = -q*n - n - n. What is w(d(s))?\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.7*0.11183.\nAnswer: 2.985861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.945 - 0.055. Let u = p + 39.5. Suppose 5*a = -10, 3*x - 4*x = 3*a + 10. What is the second biggest value in x, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by -7?\nAnswer: -156\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363294.\nAnswer: 2, 3, 20183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5072 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/(-3) - 2\/1. Suppose 5*a = -5*z - 70, -17*z = -18*z + 4. Is a < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*2166\/3610?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 12*n - 45. Let t be m(-15). Suppose -8 = 3*p - 2*r, 4*p + 2*r - 6*r + 16 = t. Suppose 11*w + 38 - 214 = p. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 193*w + 29. Is u(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/18 and -68\/40455.\nAnswer: 80910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 83028875521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 73894957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13113384467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + 2*u - 6. Let r be b(3). What are the prime factors of (-8)\/r - (-816)\/27?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -202?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -229 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 0*w + 3\/8*w**5 - 3\/2*w**3 + 0 - 3\/4*w**4.\nAnswer: 3*w**2*(w - 2)**2*(w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15208?\nAnswer: 2, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 30675, -0.02, 0.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4 - 2294*m**3 - 2616*m**2 + 367976*m - 707168 = 0. What is m?\nAnswer: -14, 2, 11, 1148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11598975.\nAnswer: 3, 5, 51551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30041, 122921, 277725, 494453, 773105?\n\"Answer: 30962*b**2 - 6*b - 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5 + 3. Let j(d) = 7*d - 3. Let y be j(r). Is 7 a factor of 5\/(-10)*-4 + 3*y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 8, 1755, 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {f: 1, r: 6, z: 1, g: 2, m: 1, s: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -v + 7, -4*v + 4*p = -9 + 1. Let q = -21 - -18. Is q less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 1:59 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.157 - -6.2. Round a to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*l**3 - h**3 - h*l**3 + h*l**2 + 1248*l**4 + 114*l**2 wrt l.\nAnswer: -12*h**3 - 6*h + 29952*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/144 and 35\/10359?\nAnswer: 165744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 122 and 99.\nAnswer: 12078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -251\/4 - -253\/4. Let m = -7 - -6.7. Sort m, f, -4.\nAnswer: -4, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544 = -1646*o - 30172 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0183953 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54459504.\nAnswer: 2, 3, 11, 34381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -5*z + 38, -87*z + 2*a - 13 = -88*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 + 7*x + 6. Let a be m(-2). Solve -30 = -a*p - 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 smaller than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -70*u + 37. Let v(o) = -30*o + 263. Let t be v(9). Is j(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42406 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 15*m - 259. Suppose -3*t + 32 = -5*o - 6, -5*o = -25. Calculate the remainder when 275 is divided by p(t).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 271, 454, 635, 814?\n\"Answer: -m**2 + 186*m + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 30 - 140. Suppose -5*z = 4*x - 4339, -z + y - 19 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2103 + 2103 - 73*o + 2*o - 4*o + o + (-o + 0*o + 0*o)*(1 + 4 - 3) + 0 + 2*o + 0.\nAnswer: -74*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -335, -437, -469, -407, -227, 95, 583?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 3859 + 1914 + 5*h**3 - 4*h**3 + 1926 + 2*h**3.\nAnswer: -h**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/17)\/z)\/(z*(z**1\/z*z)\/z))\/(z*z**20*z\/z**(2\/27)) assuming z is positive.\nAnswer: z**(-11063\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -m - 0*m. Suppose 4*n + m*d - 5*d = 24, 3*d - 24 = -4*n. Suppose 5*h = -3*j + 5, 0*j = 4*j + 20. Calculate the highest common divisor of n and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, -13, -27, -41?\n\"Answer: -14*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*r**2 - 404319*r = 0. What is r?\nAnswer: 0, 134773\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + 132\/(-55))*(-70)\/4 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2545676 to the nearest integer?\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -389*o + 393*o - 40 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 669045775?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or 1995?\nAnswer: 1995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 72. Let b be f(25). Factor 0 + 2\/3*u**4 + 0*u + 4\/3*u**2 + 2*u**b.\nAnswer: 2*u**2*(u + 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 53*k**5\/12 + 3*k**2 + 718*k - 1. Let f(m) = 9*m. What is f(n(p))?\nAnswer: 2385*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = 797 - 815 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -46*g + 10. Let y be v(5). Let j = y - -436. Let h = j + -80. Does 34 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p + 3. Determine v(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 m, and 1 n when three letters picked without replacement from hddndtdmtddhdd.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/100*5)\/(1\/(-6))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 2*h**2 + 62*h + 28. Let k be q(7). Solve 2*t - 3*v - 15 = 0, v - k = -2*t + 6*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1211270 divided by -20\nAnswer: -121127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -152\/5. Let f = 2.937 + -1.937. What is the smallest value in r, f, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0 + 7*i + i - 2 - i**2 - 1. Suppose 16 = 2*o + 5*d, 3*o + 0*d - 24 = -d. Let r be j(o). Sort 4, r, 3 in descending order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (300\/26)\/(-3) + (-362)\/2353. Let s(z) = -4*z - 7. Let q(f) = 3*f + 6. Let m(y) = -3*q(y) - 2*s(y). What is m(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**5 - 6*c**4 - 3*c**3.\nAnswer: -3*c**3*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-18 + 14)*(-6 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m - 42. What is the smallest common multiple of m and ((-755)\/302)\/(20\/(-2672))?\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 2. Suppose -5*m + 3*f - 5 = 6, 4*f = 4*m + 4. Let n be (3\/6)\/((-1)\/m). Suppose n*k + 3*k = -25. Determine a(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130540 + 130588.9958. Let j = -52 - -3. Let n = i + j. What is n rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + c**2 + 0*c**2. Let o(b) = 19*b - 5. Let r(x) = 4 + 5 - 56*x - 1 + 8. Let i(v) = -16*o(v) - 5*r(v). Determine i(l(w)).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1579.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 30. Let k be ((-3)\/3)\/(-1) + 20. Let v be h(k). Let f be 23\/8 - v\/(-96). Solve -w + 4 = 5*n, 0 = w + n - f*n - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 4*d - 17. Suppose 150*n - 251 - 499 = 0. Calculate a(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -125029? (a) 2\/7 (b) -55 (c) -5\/4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.3606 and 758 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 12:46 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 42*f.\nAnswer: 3*f*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6394 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + w**2 - 577*w + 2991. Determine p(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6906 - 6905.92. Do -0.022 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14199, 56593, 127259, 226203, 353431?\nAnswer: 508949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -2*q - 65. Let k = q + -11. Let l be k\/15 + 1115\/75. What is the greatest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + j + 21 = 0, 0*j = -2*s + j + 6. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Let x = -7 + n. Put x, -1, -4 in ascending order.\nAnswer: -4, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5416 and -351.\nAnswer: 5065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -40. Suppose -5*m + 200 + 96 = -r*z, 3*m - 5*z = 170. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**7\/1260 - z**6\/360 - z**4\/12 + 2*z. Let j(x) be the third derivative of u(x). Suppose j(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-2)\/(-3) - (-5010)\/18). Let y = o - 271\/1116. Let f = 0.9 - 0.6. Which is bigger: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**7\/2520 - s**5\/60 - s**4\/8 + 6*s**2. Let z(q) be the second derivative of m(q). Find the first derivative of z(a) wrt a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 277*r**4 + r**2 + 868 wrt r?\nAnswer: 1108*r**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778510 rounded to the nearest 1000?\nAnswer: 1779000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180336 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 7*i**2 - 18*i + 10. Let p be n(9). Let m be 52\/(-65) - (-68)\/p. Suppose m*w = 10*w - 60. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = u. Let k be u\/(-5) - 14\/(-5). Let m be k\/8 - (-21)\/12. Solve 1 = -h - m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.101 - 0.099. Let u = 3 - 3.01. Which is greater: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5659 - 59.4181. Let b = k - -5.654. What is b rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2. Let i(b) = -16*b - 22. Calculate r(i(k)).\nAnswer: -512*k**2 - 1408*k - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 723023 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4540 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -207.1 to the nearest integer.\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6531, -6436, -6339, -6240, -6139, -6036?\n\"Answer: c**2 + 92*c - 6624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17246.949 - -17229. What is p rounded to one dp?\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 374190 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3)\/78*-2\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 8*w - 41 + 41.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26 + -1 - (127 - (102 + -29))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*c + 202*c = -108 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6) + 1)\/(20\/(-120)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4610?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4464648457.99999947 + 4464648484. Let o = f + -26. What is o rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 3 = 17. Factor 20*r**2 + 16*r**2 - 54*r**y - 4*r**4 + 14*r**2 + 6*r**3 + r + r**5.\nAnswer: r*(r - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*3\/(-4)*1204\/(-301)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 244*q - 240*q = 9, -2*w + 5*q = -10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) - sqrt(624)*-1) + -1*sqrt(273)\/sqrt(7))\/((-4*4*sqrt(3) - sqrt(3)) + 5*sqrt(75)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -8. Let t(p) = 4*p + 1. Let g(v) = 9*v + 3. Determine z*g(i) + 5*t(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -626 - 3.\nAnswer: -629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/378 and -65\/369.\nAnswer: 15498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59055460*t**2 - 118110912*t + 16.\nAnswer: -4*(t + 2)*(14763865*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1044, -2126, -3296, -4566, -5948?\n\"Answer: -2*c**3 - 32*c**2 - 972*c - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(9 - (-76)\/(-6) - (-4444)\/1221)\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -41*w - 15. Let f(p) = 2903*p + 2. Give f(b(k)).\nAnswer: -119023*k - 43543","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -2 + 5 + sqrt(242))**2.\nAnswer: 132*sqrt(2) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u**2 - 2*u + 1. Let s(b) = -b**2 + 5*b - 5. Let r be s(2). Let g be n(r). Let l = 21 + g. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58.128 - -0.382. Let p = f - 58. Let o = p + -0.5100056. What is o rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, d: 2, m: 1, z: 3, q: 2, h: 1}. Give prob of sequence hp.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0 = -9. Let 0 + 2 - z**2 - p*z + 2*z**2 = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5*w - 5, -3*w - 3 - 2 = -j. Suppose 5 = 5*i - j. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -152733 or -152699?\nAnswer: -152699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**6\/120 - 19*z**4\/24 + 5*z**3 + 747*z**2. Find i, given that h(i) = 0.\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 83 = -107. Suppose -2*u = -s - 14. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4453 and 803.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*y)*(-1 + y**2 + 1)*(1 - 1 + 1).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18280000 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/21)*a**16 assuming a is positive.\nAnswer: a**(335\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1071 - -4173.\nAnswer: 4172.8929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1.5. Let z = -21.585 + 25.585. Put z, u, -0.4, -0.27 in increasing order.\nAnswer: u, -0.4, -0.27, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/9)\/(1990\/(-45) - -44)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1304, 2180, 2166, 818, -2308, -7656, -15670?\nAnswer: -26794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4582 = -4537 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12085 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -64210 (b) -0.4 (c) -12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1433\/6 - 5063\/21. Calculate the common denominator of b and 77\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003445 rounded to four decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 2*h + 2236432, 107466 + 1756224 = 5*v - 5*h. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 789696 and 105192?\nAnswer: 384581952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -82, -288, -494, -700?\n\"Answer: -206*w + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40820.\nAnswer: 2, 5, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 203290 rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 313864221?\nAnswer: -2\/313864221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2 - 2 - 1 + 4 + (-4 - 2 + 4)*(-1 + 2 + 0) - 5 + 2 + 6)*(-1 - 1 + 1)*(-6*g + 5*g - 8*g + (1 + 6 - 3)*(0*g - 2*g + 3*g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -490, -981, -1472, -1963, -2454?\nAnswer: -2945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100011001000001010 (base 2) to base 8.\nAnswer: -3431012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 3*b - b**4 + (-7*b**3 - 2*b**2 + 2*b**2)*(-2*b + 0*b + 4*b).\nAnswer: -15*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 39*a**2 + 158*a + 42. Give o(23).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148072*k - 74036*k - 74036*k + 267*k**3.\nAnswer: 267*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 306420\/(-45963)*((-4)\/(-6) - 107\/(-15)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by 37182?\nAnswer: -35\/18591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -6222, 8 in descending order.\nAnswer: 8, 3, 1, -6222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1408*n**2 + 2065 wrt n?\nAnswer: 2816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 19*r - 24. Find the third derivative of 26*v**2 + 123*v**3 + 22*v**r - 123*v**3 wrt v.\nAnswer: 528*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuhunnhnuunnu. What is prob of sequence uuuh?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 556, 1244, 2228, 3520, 5132, 7076, 9364?\nAnswer: 12008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18c5 + -5?\nAnswer: -18ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 2*p. Suppose p = f - 6 + 4. Let i(u) = 1 - 3*u + 3*u**2 + u - u**3 + 0*u. Determine i(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/200*5*32\/(-6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -10*u + 31. Let k(v) = -18*v + 56. What is -5*j(t) + 3*k(t)?\nAnswer: -4*t + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1.43?\nAnswer: 2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 7*u - 12. Let m be p(10). Let x be (1272\/m)\/((-1)\/(-6)). Suppose k = -3*f + x, -f + 79 = -5*k - 57. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {h: 6, v: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*n - 44 = -9, 4*l - 2*n - 30 = 0. Find the first derivative of 11*f**3 + f + 4*f - l*f - 24 wrt f.\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 101111011000010?\nAnswer: 101111010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33279250057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -34*w + 262. Give y(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 1\/60*v**6 + 0*v - 1\/12*v**4 + 0*v**3 - 3 - 3\/2*v**2 + 0*v**5. Let i(s) be the second derivative of u(s). Factor i(q).\nAnswer: 2*q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5456 and 16?\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -9, -7.\nAnswer: -9, -7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 347903054 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 23 = -1. Let z be 3\/(-26)*o\/9. Let n = 0.81 - -3.19. Sort -0.5, z, n.\nAnswer: -0.5, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (3 - 3) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (21\/210)\/((-1)\/5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 14 + 12)*(4 - 3 + 1558*x**3 - 1566*x**3) + (2 - 1 + 2)*(x**3 + 0*x**3 + x**3) + 3*x**3 + 3*x**3 - 3*x**3.\nAnswer: -111*x**3 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/32*-6*16\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1449 or -1312656\/905?\nAnswer: -1312656\/905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30, 771, -0.4, 0?\nAnswer: 771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169.48 - 12346.\nAnswer: -12515.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262682813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -18\/293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 6)*5\/1. What is the second derivative of 8*c + 6*c - 37*c**5 + 35*c**o wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67454735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732078 is divided by 59.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 17*w**2 + 16)*(-2 + 3 - 2)*(2*w - 2*w + 2*w**2).\nAnswer: 34*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z - 16. Let a be o(10). Suppose -f + 3 = 0, -a + 1 = -4*d + 3*f. Let k = 10 - 5. Calculate the least common multiple of d and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 1108954 - 308807 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -22*c + 5. Let w(x) = x + 1. Determine k(f) - 5*w(f).\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4992284263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 9*o - 6. Let s be g(-3). Suppose 3*j - 25 = -2*t + 7*t, 0 = t - s*j + 5. Which is the smallest value? (a) -1\/4 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118\/5 - 831\/35. Let c = 12 - 7. Sort b, -2, c in increasing order.\nAnswer: -2, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 12) to base 10.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 5*a - 4. Let m be g(5). Let v be m\/(-5)*(-5)\/(-2). Solve h = v - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + -0.4. Let a = d + 0.7. Let x = 8 - 13. What is the biggest value in x, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*d = -40, -k + 3*k + 4 = -3*d. Suppose k*t = -3*u + 5*u - 34, -u + 15 = -t. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58046205?\nAnswer: 3, 5, 7, 552821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/29? (a) -2\/15 (b) 0.109 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -433, 7, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 13*i**3\/3 - 5*i + 17. What is the derivative of k(j) wrt j?\nAnswer: 26*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 39.234?\nAnswer: -11.7702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 + 12*x**2 + 7*x**2 to y + o*x**2 + a*x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(35) - 1*sqrt(5040))\/sqrt(5))**2 + 4 + (sqrt(49) + sqrt(147)\/sqrt(3))\/sqrt(7) + sqrt(28) + -4).\nAnswer: -1694 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003212 rounded to 5 dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c5 - 8a25?\nAnswer: -8cea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + sqrt(637) + sqrt(637)*1)**2.\nAnswer: 140*sqrt(13) + 2572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h*h\/h**(-6)))*h)\/h**(-15))\/(h\/(h*h\/(h\/((h\/(h*h**(1\/2)))\/h))))**(-31\/2))**(-47) assuming h is positive.\nAnswer: h**(-8883\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1)*(-15 + -22). Let n = 43 + o. Suppose 9 = n*k - 183. What is the highest common divisor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-15)\/6*24\/20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*x - 2*b, -x - 5*b - 3945 + 3926 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11243*l**2 - 4940 wrt l.\nAnswer: 22486*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 995 - 981. Solve q - 5 = g, 4*g - 2*q = -t - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7803\/20 + -390. Let q = l - 1\/20. Let y = 4 - 4.3. What is the second biggest value in y, q, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200204*-2\nAnswer: -400408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 73217944 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1001*w - 1856. Let s be c(-5). Is s less than or equal to 3149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -11*j + 52. Suppose j*y - 9*y = -12. Solve 3*l - 12 = y*a, -2*l + 9 = 4*a + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 3:06 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 3*r**2 + 4*r - 1. List the prime factors of t(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3434416 by -17.\nAnswer: -3434416\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxrrgxvkv. What is prob of sequence xpk?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.218 + 4857662043.\nAnswer: 4857662045.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 526*o**2 - 25508*o - 9426. Determine p(-472).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuww when four letters picked without replacement from wttwwttwtwtwtuwu.\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -707382, 4, 2\/19, -5 in increasing order.\nAnswer: -707382, -5, 2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from ynkyyynvzyyvkkkkyynv.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 49628 * -0.1\nAnswer: -4962.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 3*s - 4*s)*(2*s**3 + 49*s - 63486 + 63491 - 6*s**3) as b*s**2 + w*s**4 + p*s**3 + i + r*s and give b.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + (sqrt(363) + (sqrt(363) - (3*sqrt(363) + -5) - sqrt(363)))**2)*1.\nAnswer: -220*sqrt(3) + 1481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 12. Suppose -3*v + 0*v = 5*j - h, 7 = 5*j - v. Let u = 4 + -3. Calculate the remainder when j is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86237221 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: Calculate prob of picking 2 n and 1 b when three letters picked without replacement from {b: 4, p: 2, n: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 12. Let f be h(8). Suppose -f*j - 3*b + b = 8, -20 = 4*j + 5*b. Suppose 3*i = -j + 30. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.978543 minutes in days?\nAnswer: 0.02567954375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -83, -88, -93, -98?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -40. Let g = 9899.034 + -9883. Let i = r + g. What is i rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.1 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*y + 2*y = 8, 5*z + y = 20. Let c(k) = z*k - 4*k + k - 5*k. Let w(u) = 3*u**2 - 3*u**2 + 6*u**2. Give c(w(t)).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 + f**2 + 2*f + 2. Let g be (-6 - 0) + -58 + 64. Let v be i(g). Solve 21 = 5*y + 3*s + 1, v*y = 2*s - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + u**5)*(2 + 3 - 2 + (-3 + 1 + 1)*(3 - 3 + 1) + 1 - 2 + 3).\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -699 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 774488277 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 9 = 39. Suppose 33 = -n*o + 2*j, 4*o - 3*j = -6 - 26. Sort -1, 5, o, 2 in increasing order.\nAnswer: o, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5003421 and 397086.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 46. Which is the closest to -1\/2? (a) 3 (b) 1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 at most as big as 1.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 4*g - 8, 6*z - g - 11 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 358130184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.569 + 0.569. Which is the closest to k? (a) 0.1 (b) 4\/9 (c) -0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 0*z - 80. Calculate the highest common divisor of 5 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -42*2*2\/(-6). Suppose -25*g = -17*g - 368. Let u = v + g. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r*r**(-1))))**15)**(-16)*((r*r**(-7)*r)\/(r**(-1\/3)\/r))**28 assuming r is positive.\nAnswer: r**(-1028\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -1. Let y be 2\/(-5) + (-6)\/n. Let p(f) = 6*f**2 - 1. Let v be p(y). Solve b = v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2, -9, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 3*u - u)*(-2*u**4 + 2*u**4 + u**4) - 20*u**4 + 12*u**5 + 15*u**4 + 8*u**4.\nAnswer: 13*u**5 + 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 22, -5, 1\/7?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/6 + 7\/6. What is the second biggest value in 3, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -12 + (12 - -11 - 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 7*l - 10*l)*(-5 - 2 + 5) + 0 + 0 + 2*l + (l - 2*l - l)*(-3 + 2 + 0) + 3*l - 3*l - 2*l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2880087491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 527?\nAnswer: -527.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-91)\/(0 + 1\/(-20)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 10*h + 17. Let f be d(-3). What is the remainder when 104 is divided by f\/2 - (-1 + -22)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 224*b**2*r**4 - 73*b**2 wrt r?\nAnswer: 896*b**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 + 6\/(-15). Suppose -5*x = -2*j + 208, 3*x + x = h. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -269 or -96?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*d = -74*d. Let v(g) = g**2 + 46*g + 144. Let p be v(-43). Solve 3*z = -d + p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.082 + 0.067. Let a = q - -0.015. What is the closest to 2 in -1, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 85, -104 in descending order.\nAnswer: 85, 8, 3, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*l + 79 = 0, l + 67 = 5*k - 42. Suppose 0 = d - 8 - 76. Calculate the highest common divisor of k and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 + -47. Suppose -2*q = -0*q - 2*j - 28, -5*q + j + a = 0. Suppose -6*h + 3*h + 66 = 0. Calculate the lowest common multiple of h and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 - 2 = 0. Let t = 2 + 1. Suppose j - d*v = 7, t*j - 4*j - 5*v = -15. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((12 - 12)\/(0 + -2))\/(-3). Solve i = 3*t + f - 11, -t = f - 0*f - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, b: 3, t: 8, p: 4, z: 1}. What is prob of sequence ppz?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 18*b - 67. Give g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*s - 3*n - 279, -4*s - 345 = -5*n. Suppose -79*b + 26*b - 583 = 0. Let d = b - s. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r - 13*r - 9*r - 9*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54588 is divided by 12423.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5624*b + 94 = -5718*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/(-4) + 3)\/((-1)\/4). Suppose d - 14 = -r, -2*r - 16 = -v*d - 0*r. Let o be -3*4\/(-36)*(d - 2). Solve h + 5 = o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a2 (base 13) to base 6\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*i**2 - 804*i + 224*i**4 - 445*i**2 + 179 - 435*i**3 - 3*i**5 - 308*i**4 - 443 = 0 for i.\nAnswer: -22, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n - 42. Calculate the remainder when 18 is divided by x(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -3*z**4\/4 - 5*z**3\/3 - z**2\/2 + 3*z - 12. Let b(a) = -3*a**3 - 4*a**2 - a + 2. Let d(y) = -4*b(y) + 3*m(y). Give d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -5\/6, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29199, -29212, -29235, -29268, -29311, -29364, -29427?\n\"Answer: -5*y**2 + 2*y - 29196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g = 0. Suppose 5*x - 3*a + 12 = 0, g = -4*x + 2*x + 5*a - 20. Factor -2\/9 + 2\/9*u**4 + x*u**2 - 4\/9*u**3 + 4\/9*u.\nAnswer: 2*(u - 1)**3*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(-3 + 1 + -2 - 3877\/(-969)) a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -14*p - 4. Let d(k) = -13*k - 4. Calculate -5*d(q) + 4*i(q).\nAnswer: 9*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 1\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -9*i**5\/5 - i**4\/2 + 161*i**3\/3 + 123. Find the third derivative of y(a) wrt a.\nAnswer: -216*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -125*b**5 + 16775*b**4 - 52760*b**3 + 47288*b**2 - 16784*b + 2096 = 0. What is b?\nAnswer: 2\/5, 2, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 - 19407080.\nAnswer: -19407080.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10 + (-66)\/15. Let p be (-1)\/3*(-1 + -2). Let z be (-9 - p)*2\/i. Solve 0 = 4*j - z*x + 7, -6*j + 3*j - 12 = 3*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 18 + 9*g + 13*g - 35*g - 5 + 10*g.\nAnswer: -3*g + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -20152.\nAnswer: -20152, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 903*k - 180*k + 54471 + 56148 = 0. Let a = -2.92 + -0.08. What is the biggest value in a, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f + f**2 + 11*f - 4*f + 3*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 2)*(-4 + 1 + 2)*(-7 - 7*i + 7) - 1 + 3*i + 1 + (4 + 0 + 2)*(4 - 4 + 2*i) as f + j*i and give j.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4. Let z be 12\/(-15)*(-6)\/(-12). Let o = 1 - 0.7. Which is the closest to z? (a) v (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125840 and 6160?\nAnswer: 880880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 3:32 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -390? (a) -0.5 (b) -0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -1\/4*a**3 + 373321\/2 - 370877\/4*a - 305*a**2 = 0.\nAnswer: -611, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.5, 3\/26 in increasing order.\nAnswer: 0.1, 3\/26, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*n**2 - 51260*n - 4495400.\nAnswer: -4*(n + 1330)*(9*n + 845)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 193 and 5?\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 77 = -5*n. Suppose 5*d - m - 13 = 0, 8*d + m - 17 = 3*d. Suppose -d*k + n = -2. Solve 0*q + 9 = k*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - 14) + 50 + -44?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -309590 - -446590. Round b to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.7 in -1\/3, -9204, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -917, -1147, -1561, -2171, -2989, -4027, -5297, -6811?\n\"Answer: -2*w**3 - 80*w**2 + 24*w - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2 + 1 + 1 + w**2 to b*w**2 + k + u*w and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 973880.3mg to nanograms.\nAnswer: 973880300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n + 5. Let o(r) = 2*r - 1. Let w(h) = -4*o(h) - u(h). Let f(k) = -k - 8. Let t be f(-7). Let a = -2 + t. Let v(p) = p. Give a*w(s) - 2*v(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 108*g + 1019. Let v be z(10). Solve 17*y - 66 = v*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2300 + 9*m - 2314 - m**2 + 8*m. Determine g(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000064191879 to 7 dps.\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6196, -6279, -6362, -6445, -6528, -6611?\n\"Answer: -83*y - 6113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 57042471, 114084945, 171127419, 228169893, 285212367?\n\"Answer: 57042474*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -52091.6 and 4.12.\nAnswer: -52087.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + 1. Suppose 0 = k - 14 - 2. What is the remainder when r is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2d (base 14) to base 7\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50003 - 41533?\nAnswer: 4030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -5874377.\nAnswer: 4\/5874377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 33*r + 91. Calculate a(36).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 17. Let d(o) = o**2 + o + 2. Determine d(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -18, 3\/4, 30.9 in descending order.\nAnswer: 30.9, 3\/4, -3\/5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:31 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1672 + 2.8328. Let m = 13 - 79\/6. Which is the third smallest value? (a) m (b) -0.8 (c) w (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317015515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6273*s + 6276*s + 72 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2305 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 5*t**3\/3 - 3*t**2 - 2*t + 127. Let k(l) = -6*l**2 + 7*l + 3. Calculate 4*k(p) + 5*q(p).\nAnswer: p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d + 2*d - d. Let s(x) be the third derivative of x**7\/5040 - x**5\/15 - x**2. Let f(k) be the third derivative of s(k). Determine u(f(o)).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17848 less than or equal to -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/3, 2\/1909, -48\/11, -4\/7, -3\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 + -3 - (4 + 12 + -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1086 rounded to the nearest 10?\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2316 - -2405. Suppose -6109 - q = -m. Suppose 6*l = 4*l + i + 5425, -4*l - 2*i = -m. Round l to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 480 and 40?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Let o(c) be the second derivative of 5*c**4\/12 + 18*c. Calculate o(r(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1665 - 1085. Suppose 109*i + f = 114*i. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.033*-1620\nAnswer: -53.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (56\/3)\/4 - 4. Is -2\/5 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**6\/2700 + 7*z**5\/900 - z**4\/15 - 52*z**3 + 141. Let g(y) be the third derivative of p(y). Factor g(t).\nAnswer: -2*(t - 4)*(t - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 63\/(-28)*16\/3. Let f = b + 7. Put 3, 5, f in increasing order.\nAnswer: f, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3391 by 64.\nAnswer: -3391\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1032015 is divided by 1789?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 6 - 2. Differentiate -13*a**r + 11*a**2 - 3 + 1 wrt a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14226883, 28453766, 42680653, 56907544, 71134439, 85361338?\nAnswer: 99588241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 3*h**2 + 2*h + 4. Let r be z(-2). Which is the closest to -2? (a) r (b) -5\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 9*b - 6. Let d be v(10). Find the third derivative of -d*x**6 - 5*x**2 + x**2 + 0*x**6 + x**2 wrt x.\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 21 = -5*q + 28, 12*a = -q + 7*a - 45 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n + 34. Let g be a(5). Solve -3*j = -4*j - 5*s, j + 1 = -g*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -1, 3, -3 in increasing order.\nAnswer: -3, -1, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -15*p**2 + 81*p**2 - 28*p**2. Let v(l) = -2*l**2. Give v(i(b)).\nAnswer: -2888*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 285 - 41*q - 285 + (1 + 0 - 2)*(-q - q + 4*q).\nAnswer: -43*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x + 171. Calculate the lowest common multiple of s(25) and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -49. Let r be -2 - w*4 - (-2 - -5). Which is the nearest to 3\/4? (a) -1 (b) r (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3383892 - -0.14\nAnswer: -3383891.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 8) to base 7\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + 106. Suppose -u + p = -9, -5*p = 5*u - x - 5. Let g be (1\/(-2)*2)\/2. What is the third biggest value in g, u, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 132 = -2*r. Suppose 5*c = 4*o + 29, 5*c - r = -2*o + 5*o. Suppose 2*z = 5*z - 45. Calculate the remainder when z is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, v: 1, b: 4, d: 1}. What is prob of sequence vvd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (16 + 37 + -65).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174403\/14 - 12452. What is the common denominator of 65\/4 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(11) - sqrt(11))**2 + (-2 + sqrt(704) - sqrt(704)) + 1.\nAnswer: 8*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 131?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -651 + 557. What is the third derivative of -2*a**5 + 62*a**3 - l*a**3 + 7 - 3*a**6 - 15*a**3 - 2*a**5 + 5*a**2 wrt a?\nAnswer: -360*a**3 - 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 152, 216, 316, 458, 648, 892, 1196?\nAnswer: 1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*1*(-356)\/712.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -215*o - 8. Let a be s(-3). Suppose 3*m + a = 10*m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - m - 2 = 0, 3 = 2*g - 2*m + 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 17. Let p = y + 6. Let b = -1.9 - p. What is the closest to 2 in b, -5, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2185 - 2184. Solve -2*c + 10 = 0, -3*c + g - 6 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.1 + 7.10000094. What is x rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 2*j - t - 341, -4*j = -3*t - 843. What is the remainder when 5744 is divided by j?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3917\/4 + -978. Let n(h) = -h**2 + 7*h - 3. Let r be n(6). What is the fourth smallest value in -3, 4, u, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.06. Let c = 2.16 + n. Which is smaller: c or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - p + 5. Calculate the remainder when 20 is divided by k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 68.4. What is the closest to -0.03 in g, -0.5, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**24\/h)\/h)\/h**(1\/8)*(h*h**19)\/(h*h**(1\/8)))**(-14) assuming h is positive.\nAnswer: h**(-1141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -r - 6. Is 13 a factor of (2*r)\/((-6)\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**2 - 207*n - 204 = 0. What is n?\nAnswer: -68, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -285092, -285148, -285204, -285260, -285316?\n\"Answer: -56*i - 285036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190.6115 decades to months.\nAnswer: 22873.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/120 + w**5\/15 - w**4\/24 - 2*w**3\/3 - w**2. Let z be y(3). Suppose -56*h**3 + 98*h**4 + 2 - z + 8*h**2 = 0. What is h?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-16)*(-12)\/(-27)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = 6. Let c = -10 - s. Suppose 3*r - 3*q = 81, r - 2*q = 3*r - 34. Solve 3*d = 2*h + 13, c*h + 2*h - 2*d = -r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4*n - 57*a**4 - a**3*n + a**2*n + 125*n wrt a.\nAnswer: -48*a*n - 1368*a - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7846095 < -7846058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6 + 21716\/3. Let s = -28745\/4 + r. Let m = s - 54. Which is the third biggest value? (a) 5 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -10c?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337299236 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30752067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1983328 and 4304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j. Let q(u) = -659*u - 6999. Give d(q(c)).\nAnswer: -1318*c - 13998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1718*f**2*v*w**3 + f*v*w**2 + 29*f*w**3 - 4*w**3 wrt f?\nAnswer: 3436*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 869521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (1 + -3 - -3). Suppose -v*u = -0*u. Suppose -3*f - 13 = 4*g - u*f, 0 = 2*g - 5*f + 13. Let a(x) = x**3 + 5*x**2 + 3*x - 3. Determine a(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -268, -262, -256, -250, -244?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7368904111 a multiple of 560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21206*d**4 + 42429*d**4 - 2*d**2 + 5*d**3 - 57*d**3 - 21201*d**4 to j*d + b*d**2 + m*d**3 + n*d**4 + f and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4*((b\/(b*b*b**(-15)*b*b))\/b)\/b)\/((b*b**(2\/61))\/(b**18\/b)) assuming b is positive.\nAnswer: b**(1828\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 2. Let y = -108 + 110. Suppose y*t = -3*f + 43, 14 = 5*f + 9. What is the remainder when t is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 139 = -2*a, 0 = 6*m - 824*a + 819*a - 352 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000071647 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16922848, 16922851, 16922854?\n\"Answer: 3*s + 16922845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from zxlrrxxrxcxvrcxrx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25915, -25985, -26155, -26473, -26987, -27745, -28795, -30185?\nAnswer: -31963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*y + 14 = -178 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 105*d - 840, -25*d - 5*x + 16 = -23*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 8) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -689138181 + 4\nAnswer: -689138177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 85\/3 - 2\/6. Suppose 0 = 2*t - 12 - d. What is the remainder when 135\/t - (-3)\/12 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13354245 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1397 - 121541\/87. Let r = -184\/435 - v. Let a be 159\/(-81) - (-1 - 1). Do r and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/195 - (-17)\/((-94350)\/2120).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*b + 2*d - 95, -2*b - 42 = -2*d - 62 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-21)\/j**(-1\/33)*(j\/j**(-1))**(1\/4) assuming j is positive.\nAnswer: j**(-1351\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4690 is divided by 276.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.476 times -50?\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34902386 <= 34902388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11011111101001111000 (base 2) to base 12\nAnswer: -382188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v + 6*v + 12 - 12.\nAnswer: 38*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089105 to the power of 1\/2, to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*s - 104. Suppose 0 = -4*i, -3*o + 0*o - i + 42 = 0. What is the remainder when s is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {g: 2, d: 5, o: 7}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q**3 - 4*q**2 + 4*q - 1. Let f(x) = 20*x**3 - 11*x**2 + 11*x - 2. What is 4*f(t) - 11*z(t)?\nAnswer: 3*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 84*x - 52*x + 68, 5*t = 2*x + 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686162.\nAnswer: 2, 343081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2921.2 rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005379 rounded to 4 dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.03 + -4. Let b = k - -0.27. What is the nearest to 0.1 in b, 2\/3, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 9:30 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25461\/8 - 3187. Let n = 289\/16 + -3185\/144. Find the common denominator of n and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.052 + 0.0543. What is h rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3*s - 1827, 5*s - 2*s = 4*v - 2436. Let w = 1410 - v. What are the prime factors of w?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2 (c) 690 (d) 0 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5 = -3. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173780473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(4900\/176400).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669519.\nAnswer: 3, 137, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2*-2334\nAnswer: 4668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003424376 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, y: 8, k: 4}. What is prob of sequence syy?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -52*s**4 - 5*s**2 - 5*s + 52. Let q(a) = -54*a**4 - 6*a**2 - 6*a + 51. Let h(w) = 6*n(w) - 5*q(w). What is 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: Collect the terms in -7 + 24 - 2 + 29*b - 8 - 6.\nAnswer: 29*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 869 and 395?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 1252.\nAnswer: 7512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 153 + 155\/2*t + 1\/2*t**2.\nAnswer: (t + 2)*(t + 153)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.24, 3\/4, -0.8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 12*u**2 + u - 62. Suppose 5*n = -4*x + 66, -4*x - n + 86 = -6*n. Calculate the remainder when z(11) is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1378 is divided by 150?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 67*p**2 + 995*p - 47. Let u be v(21). Put -0.1, u, 4 in descending order.\nAnswer: u, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 10 = -5*m, -29 = 5*v + m - 6. Find the common denominator of (-1)\/(4\/34*v) and 83\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4 = 0, 0 = -5*a - 2*r - 7 + 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207 + 110*t + 21*t - 91*t.\nAnswer: 40*t + 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068703499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103.5 - 364.9. Round z to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r - 241*r - 3670 = -12578 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -2289a1ad?\nAnswer: -2289a1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 26*y**3 + y**2 - 7*y - 2. Let a be j(6). Let o = a - -9592. Suppose -d + o = d. What is d rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016126 rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*c + 2*c = -99, 4*c = -12. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 485*x + 46 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*b - 28 = -0*b, -4 = 2*t + b. Let f be 2 + 0 - (-2)\/t. Let o = -62 + 60. What is the third biggest value in -0.3, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**2\/11 - 107*a + 196\/11.\nAnswer: (a - 196)*(6*a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5541492)\/18*(-6)\/16. Let u = t - 114746. Let b = u - 1367\/2. Calculate the common denominator of b and -61\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/384 and -29\/2544660.\nAnswer: 81429120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 140 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -6535?\nAnswer: 6531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-9))\/((-14)\/21). Factor -h**i - 9*h + 15*h - 6*h**2 + 4*h**2.\nAnswer: -3*h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 263*q + 951. What is the remainder when 1618 is divided by s(-3)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20549 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 41.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - 71 - -59 - -4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z - 30*z + 5*c - 16 = 0, 0 = 3*z - 3*c + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -325*m**3 + 153*m**3 + 155*m**3 + 6*m**4 + 1 as c*m**2 + s*m**3 + d*m**4 + w + b*m and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 2. Let z be n(4). Let k = z + 14. Solve -4*a = 2*s + 26, s = k*a + 1 + 16 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 9*t = 50. Suppose 3*x + 5*i = 7 + 3, 0 = 2*x - 5*i + t. Suppose x = -0*l - 2*l + 40. Solve 0 = -4*o - o + l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20369 is divided by 152.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 37*k**2 + 273*k - 11942. What is w(34)?\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -123. Let l = 119 - b. Let j(f) = 3*f + 11. Let t(q) = -2*q - 6. What is l*j(c) - 5*t(c)?\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*y - 11*y - 45*y.\nAnswer: -99*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 2001031231312?\nAnswer: -2001031231331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/9)*c)\/c*c**9)\/(c**(-14)\/(((c\/c**9)\/c)\/c)) assuming c is positive.\nAnswer: c**(121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1662*q. Let g(l) = l + 2. Determine g(a(d)).\nAnswer: -1662*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**5\/60 + 7*v**4\/24 + 5*v**3\/3 - 5*v**2. What is the units digit of t(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 464\/3 + 112*w**2 - 1\/3*w**4 - 52\/3*w**3 - 688\/3*w.\nAnswer: -(w - 2)**3*(w + 58)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 25. Let s(m) = -2*m + 51. Let y(z) = -6*s(z) - 13*w(z). Let l be y(13). Is l\/1*5140\/60 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 - (-2)\/((-1)\/2 - -1). Let q be (3 - 44\/12)*b\/4. What is the biggest value in 10, 3, q?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i + 22\/3*i**3 + 39*i**2 + 0 + 1\/60*i**5 + 1\/8*i**4. List the prime factors of p(-11).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6521*p**2 - 6527*p**2 + 19572*p**2 - 6512*p**2.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 + 112. Let t = 39 - a. Solve 4*q - 2*q = -t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-6))\/(2\/(-4)) - (-107619 - -11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - a)*(2*a**4 + a**4 - 4*a**4) - 7*a**3 - a - 5*a**5 + 7*a**3 - 506*a**5 + 1305*a**5 + 1653*a**5.\nAnswer: 2448*a**5 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353047?\nAnswer: 353047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 8*h + 15 - 102 - 8, -y - 145 = -14*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*t - 3193 - 1879 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a - 5. Let w(y) = 13*y + 21. Let q(b) = -b + 8. Let x be q(10). Let k(n) = x*w(n) - 9*p(n). What are the prime factors of k(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 2*g**2 + g + 2. Let m be q(-1). Suppose 4*a + s - 67 = m, 3*a - 5*s + 26 = 82. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*i + 16, 2 + 6 = u - 2*i. Suppose u*n = 2*n. Let y(a) = 2*a + 8 - 3*a - 1. What is y(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by 64.\nAnswer: 59\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-8))\/((-120)\/32). Let x(k) be the first derivative of -j*k**4 + 0*k + 2\/5*k**2 + 3 - 2\/15*k**3. What is o in x(o) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -23. Let h = d - -1. Suppose z - 5*s = -h, 2*z - 4*z + 2*s = 8. Let c(b) = -4*b**2 + 3*b - 3. Let a(o) = o**2 - o + 1. What is z*a(p) - c(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1830 - 1830. Sort 25, 4, z, -1.\nAnswer: -1, z, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203431 divided by -117?\nAnswer: 203431\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -8, -9, -5 in ascending order.\nAnswer: -9, -8, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 497.4545 centuries in millennia?\nAnswer: 49.74545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 6*u - 4. Let l be v(-5). Let k(w) = 19*w**2 + 2*w - 1. Let h be k(l). Solve -5 = 3*z - h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64 + 174?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -4. Let d = -13\/21 + 1\/3. What is the second biggest value in d, -1\/6, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*x = -2110. Suppose 5*q + x = 2492. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 5*n**2 - n**2 - 6*n - 3*n - 3. Let m(u) = -3*u**3 + 18*u**2 + 26*u + 8. Let t(o) = -8*g(o) - 3*m(o). List the prime factors of t(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 t, and 1 f when three letters picked without replacement from {f: 7, r: 2, t: 1, w: 5, k: 1}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 2. Let p be d(-4). Find s, given that -16*s**p - 5 + 36*s**3 + 0*s**2 + 16*s**4 + 8*s**2 - 3 - 36*s = 0.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1265 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 30 = 3*b - b, 0 = 3*l - 4*b - 39. Suppose 85 = i + 4*i. What is the remainder when i is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -566 - -563. Which is greater: -17\/7 or u?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -25 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1842 divide 298888446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -755007.1*-1.13.\nAnswer: 853158.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - w**2 + 5*w**3 + 4 + 0 + 1 - 7 - 5*w.\nAnswer: (w - 1)*(w + 1)**2*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + sqrt(539) + -1 + sqrt(539) - sqrt(539)) + -5 + sqrt(539) + -1 + 0 + sqrt(539) - (1 + 2*sqrt(11) - sqrt(11)*2*-2))**2.\nAnswer: -352*sqrt(11) + 5388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*b - 12 = -50*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 1:38 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 41*l - 8. Give h(21).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 4:20 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 929*o**3 + 8*o**2 - 4*o - 1307. Let f(l) = -l**3 - 2*l**2 + l + 1. Let b(k) = 4*f(k) + w(k). What is the first derivative of b(z) wrt z?\nAnswer: 2775*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, -324, 2 in descending order.\nAnswer: 121, 2, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 39 = -6*d. Let x = -18 - d. List the prime factors of (x\/10)\/((-2)\/48).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 6*b**2 - 8*b + 7. Let t be s(7). Let j(a) = 3*a - a + t*a - 2. Let l(c) = 1 - 7 + 4 + 1. Determine -j(w) + 3*l(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3851914, -3851887, -3851860, -3851833?\nAnswer: -3851806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3\/6 + 2687*i**2\/6 - 6*i - 16122 = 0.\nAnswer: -2687, -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-8 - (-12 + 1) - 28)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**3 + 70*p**2 - 13*p + 238. Let w(c) = -7*c**3 - 69*c**2 + 18*c - 238. Let m(q) = 4*i(q) + 3*w(q). What is the second derivative of m(s) wrt s?\nAnswer: 18*s + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*y**5 + 16*y + 0*y**5 - 2*y**5 wrt y.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 plus -0.6535?\nAnswer: 33.3465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5749 - -11879. List the prime factors of m.\nAnswer: 2, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 u when three letters picked without replacement from xuxxxyyyxuuiuux?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8584 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -293*p + 12. Let r be b(-4). Suppose -56 = -4*v + r. Suppose 3*a + 2*j = 425, -2*a + v = -j - 3*j. What are the prime factors of a?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4830)\/(-63))\/(-2)*10*21\/175?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -124, -2\/3, -2\/619?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 r, and 2 w when four letters picked without replacement from {u: 3, w: 5, n: 5, r: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*s - 2696*s**2 - 5*s + 62*s to the form a*s + k + z*s**2 and give z.\nAnswer: -2696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -117*x + 1757. Give i(3).\nAnswer: 1406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42072, 84141, 126208, 168273?\nAnswer: 210336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**3 - 1289*n**2 - 1266*n + 21. Give k(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = g + 2633, -b = -3*b - 5*g + 1744. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.9294 take away 622427415?\nAnswer: -622427452.9294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7410? (a) 463 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -3*w**5\/40 - 39*w**4\/4 - 1403*w**3\/4 - 1989*w**2\/2 - 7803*w\/8 + 257. Find s such that h(s) = 0.\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*g**2*s**2 + 4*c**3*g*s**3 - 2*c**2*s - 3*c*g**2 - 19*g**2*s**3 - 33*s**2 wrt s.\nAnswer: 24*c**3*g - 114*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*a - 1440 = -47*a. What is the highest common divisor of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = h. Let w(u) = -767*u + 3839. Let p be w(5). Let r = -26 - -28. Solve -2*v + h = -f - v, p*v = r*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 10:54 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 257 + -205. Put 4, n, -35, -5 in descending order.\nAnswer: n, 4, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-1)\/((-4)\/8). Suppose -4*d - 16 = -z*d. Let i(p) = -2*p**3 - 7*p**2 - 4*p + 5. What is the tens digit of i(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1550342 and 376?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(2\/7))\/d**4)\/((d\/(d**(-4)*d))\/d**(6\/5)) assuming d is positive.\nAnswer: d**(-178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 3*c**2 - 3*c - 10. Let s be n(5). Calculate the remainder when (s + 0)*1\/3 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1068 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25946051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (39\/(-5 + 2))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 11*f - 4. Suppose c = 4*p + 3*c - 8, 4*p + c = 6. Let j(s) = 98*s - 27. What is the remainder when j(p) is divided by l(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**3 + 14*c**2 + 35*c + 16. Let p(k) = 3*k**3 - 15*k**2 - 36*k - 15. Let g(a) = -3*h(a) - 2*p(a). Let g(z) = 0. What is z?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1650097, -3300194, -4950291, -6600388?\nAnswer: -8250485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, s: 1, b: 5}. What is prob of picking 1 s and 1 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315a66 (base 11) to base 16.\nAnswer: 7b783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by -3\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + 1343?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g + 6*g - 5*g + (3 + g - 3)*(-5 + 4 + 0) + 0*g - 2*g + 0*g - 4 + g + 4)*(-3 + 1 - 3) as a*g + z and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31442.\nAnswer: 2, 79, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b + 2. Suppose t + 6 = -1. Let w be 72\/126 - (-109)\/t. Let s(i) = 21*i + 15. Give w*p(h) + 2*s(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*x = 7464 + 5361 - 1803 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 - (2 + -14 - -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/28 and 61\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 582637 (base 12) to base 9\nAnswer: 2585177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2195, -10.5, 4, 3\/2?\nAnswer: -10.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 42*o**2 + 10*o + 78. What are the prime factors of c(-11)?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 + (-32)\/(-6). Let h(y) = -y**2 + 5*y - 4. Let a be h(4). Let o(r) = -2*r + 2. Let b be o(2). Put a, j, b in decreasing order.\nAnswer: j, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44.376 + -45. Let b = 0.064 + t. Let z = -0.55944 - b. What is z rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -26, 3\/2, -0.05, 6 in increasing order.\nAnswer: -26, -0.1, -0.05, 3\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/6 and -17\/2496.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -139 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 1. Let j = 0 - -4. Let n be g(j). Suppose 2*z - 3*z + n = 0. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 23, 26, 13, -22, -85, -182, -319?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25546140 - 65?\nAnswer: -25546235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3968630 minus 0.4?\nAnswer: 3968629.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 0 + 0*c - 40\/3*c**2 - 1\/3*c**3 = 0?\nAnswer: -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35182 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -2*c + 13, 43*h - 10*c - 1551 = -1412 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000134907 to seven dps.\nAnswer: -0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - d3d?\nAnswer: -d44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6947 - -4115. Suppose i = -4*p - 124532, -5*i = 5*p + 3021 + 152659. Let y = p - g. Round y to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f - 39*f = 0. Let q(y) be the third derivative of -1\/60*y**5 + f - 7\/6*y**3 + 0*y - 1\/4*y**4 - 3*y**2. What is q(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 1 = 21. What is the least common multiple of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/((-45)\/((-2880)\/(-32))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + -201405?\nAnswer: -201350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22 - (0 - 12\/(-3)). Suppose 5*t - j - 27 = 0. Is 1132\/t - 12\/(-54) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 12*k + 38. Let n be u(7). Solve n = -11*w + 12*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -343, -507, -667, -823, -975, -1123?\nAnswer: -1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 4*c + 1. Let d be n(5). Suppose 0 = -d*y + 2*y + 80. Solve -4*b + y = 4*h, -2*b + 3*b - 4*h + 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)*s*s*s\/(s**10\/s))**(35\/2)*((s*s**(-3\/4)*s)**(-10\/13))**(-14) assuming s is positive.\nAnswer: s**(-6475\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023440539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (0 - (-2)\/(-6))*-48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -573.2*-4.\nAnswer: 2292.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 12 = -10*c. Suppose c*g - 5*z = -25, 5*z = -g - 0*z + 25. Solve 4*a - 28 = 4*l, g = -0*l - 2*l - 2*a - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-136)\/(-408) + 178\/42)\/((-18)\/126).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 5\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4049603717 to the nearest integer?\nAnswer: 1594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, x: 3}. What is prob of picking 1 n and 3 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 15*l**3 - l**3 - 3*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1758 is divided by 98.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58459, -65583, -77455, -94075, -115443, -141559?\nAnswer: -172423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105193\/5 + 20830. Let f = 208 + h. Suppose 4*a - 3 = b, 2*b - b - a = 3. What is the biggest value in b, -1\/2, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**3 - 3*w - 3. Is s(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4721\/8 - 590. Which is the nearest to -39\/7? (a) g (b) 1 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by (-207)\/(-45) - (-3)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540 = -15*j - 135. Let f be 6*84\/j*36\/(-16). Let a = f + 47. Let k(m) = m + 3. Give k(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**2*y**3 - 35*d**2*y**2 + 4*d**2 - 2*d*y**3 + 155*y wrt y?\nAnswer: -18*d**2*y - 70*d**2 - 12*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6831861219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36960 rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1400917 is divided by 280181.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/5*(-16)\/(-32)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5814, -3, 1, 3, -8 in increasing order.\nAnswer: -5814, -8, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24467 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*b - 3*s, -5*b + 3*s = -11 - 2. Solve 11*x = b*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**(-31)*k*k*k\/k**(1\/3) assuming k is positive.\nAnswer: k**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 62, 59, 54, 47, 38, 27?\n\"Answer: -p**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 10*p**2 + p + 13. Let u be h(-10). Suppose m - 24 = -u*m. Let c be m*(-4)\/11 + 2. What is the biggest value in -1, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*o + 195 = -13*a, -3*o = -2*a - 208 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 3*p**2 + 2*p + 1. Let i be m(3). Let t(x) = 2*x - 2. Let d be t(i). Let y be (-10)\/d - 1\/(-2). Put -5, 4, y in decreasing order.\nAnswer: 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0051529841 rounded to four decimal places?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 227809 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -77, -112, -151, -194, -241, -292, -347?\n\"Answer: -2*v**2 - 29*v - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 5*z + 4. Let f be v(-4). Suppose -10*j + 27 + 33 = 0. Find the third derivative of 5*h**2 - 2*h**j + f*h**2 - 2*h**2 - 46*h**6 wrt h.\nAnswer: -5760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + (((-1 + sqrt(288) - sqrt(288)) + 2)*-6)**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -19*z + 116. Let u(x) = z*x + 235 - 54*x - 237. Let o(b) = b**2. Calculate u(o(m)).\nAnswer: -47*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-44*(-13)\/52 + -10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8 - 2*d**2 + d**3 + 0*d**2 + 6*d**2. Let w(o) = 2*o**2 + 2 - 3*o**2 - 1. Let m be (4\/(-6))\/((-4)\/(-6)). What is m*n(p) - 6*w(p)?\nAnswer: -p**3 + 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7 = 3. Is (-22020)\/100*5\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2140\/3*r**2 + 2\/9*r**3 + 0 + 572450*r = 0.\nAnswer: 0, 1605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103 and 1648.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.01 + -0.99. What is the nearest to -1 in -5, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55011 is divided by 27432.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/9 + 0)*840\/(-40). Solve 9*f = 2*f + d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 34, 41, 42, 37, 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226567041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + -27 - -28) + -1 + 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**6 - 55917*w**5 + 2*w**2 + 6*w + 2711.\nAnswer: -240*w**3 - 3355020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - q + 9. Let p = -29 - -31. What is the remainder when s(0) is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -111, -223, -335?\n\"Answer: -112*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 21*x = 40. Let m = -55 + 20. Let t = -21 - m. What is the smallest common multiple of x and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 63*h**6\/2 + 3*h**2 + 60*h - 1823. Find the second derivative of y(z) wrt z.\nAnswer: 3780*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlxhdgy. Give prob of sequence xy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2778687\/170 + 81728\/5. Let c(q) = -q**3 - q - 110. Let f be c(0). Calculate the common denominator of (-4)\/(-10) - 106\/f and u.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*s - 84*s + 32 - 255*s**3 + s**2 + 18 + 253*s**3 as r*s**2 + o*s**3 + b*s + f and give f.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4 - 4. Suppose n + 5*t + 10 = x, -3*n = -2*t - 29 + 8. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1113, 2086, 3035, 3954, 4837, 5678, 6471, 7210?\n\"Answer: -w**3 - 6*w**2 + 998*w + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*g + 2*z + 2, -g + 9 = -3*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccc. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x + 5. Let i be (-3 + 11\/3)*6. Suppose 2 = -t, -2 = -p + i*t + 1. What is y(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, 2, -0.9, 3\/2, -1 in decreasing order.\nAnswer: 2, 3\/2, -0.9, -1, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwfv when four letters picked without replacement from {f: 2, a: 1, r: 1, v: 1, i: 2, w: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9676381 a multiple of 549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 485410 - 1?\nAnswer: 485408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 53*p**3 - 44*p**2 + 83*p. Let s be w(2). Calculate the greatest common factor of s and 702.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*1396\/16054.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 9 - 11 = 0. Solve 2*n = r*u - 10, -2*u + 5*n + 8 + 5 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 26*f + 4*f)*((1 - 1 - 3*f)*(f + 2*f**2 - f) + 0*f**3 - 5*f - f**3 + f).\nAnswer: -161*f**4 - 92*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*m - 12000 = -1906*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*c + 5, 5*x - 3*c - 4 = -4*c. Let a be (14\/(-3) - -5)\/(x\/15). Solve a = -5*b - 4*i, -5*i = 2*b + 15 + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f**2 + 78*f**2 - 58*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062406 at least as big as 1062410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40612059 to the power of 1\/2, to the nearest integer?\nAnswer: 6373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 - 1.1. Let v = q + 3. Let z = -14 + 15. Which is the nearest to z? (a) v (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 6:14 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-1)\/(-20))\/(7\/(-371))*2?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2475 (base 10) in base 13?\nAnswer: -1185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563 is divided by 95.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9604367684 + -0.32\nAnswer: 9604367683.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 164365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 63. Suppose -z*i = i - 22867. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -138199000 to the nearest one million.\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 643.4 - 682. Let n = 36.112 + o. Round n to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6135 and 690.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 8 = n. Let b be ((-1)\/52*47 - (-1160)\/7540)*(-120)\/9. Sort n, -3, -1, b in decreasing order.\nAnswer: b, -1, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192240453 to the power of 1\/3, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 + 2*l - 2*l)*(17*l - 22*l + 2*l + 12*l).\nAnswer: -27*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 1419.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 3)*(5*o - 4*o**2 - 5*o)*(-2 + 6*o - 4 + 4).\nAnswer: -96*o**3 + 32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/24*2*2\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 137*n**2 - 1426*n + 11. List the prime factors of p(19).\nAnswer: 2, 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 3*m**3 - 3*m**2 - 14*m**3.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 199, 617, 1461, 2881, 5027?\nAnswer: 8049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**2 + 34704*f + 6382976 = 0.\nAnswer: -8488, -188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 323435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 465 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5355607 litres to millilitres.\nAnswer: 535.5607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*u - 687 + 1441 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13126220 divided by -2?\nAnswer: -6563110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x + 2. Let t be 12\/18 + 8\/(-3). Is 11 a factor of c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -309*(-18)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -26*y**3 + 27*y**3 - 5*y + 3*y. Let o be p(0). Solve o = 3*l + 6 - 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 + -36. Suppose 3*r - 24 = s. What is the remainder when r is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 17. Suppose -f*m + 5*m + 6 = 0. Suppose z = i + 16, 0 = -z - 5*i + m*i. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7114 - 7109. What is the fourth smallest value in -0.5, 1\/30, a, -17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 3221211545?\nAnswer: -3221211546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3670 by 5.\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 2*z - 3. Let g be k(4). What is the third derivative of -g*b**3 - 13*b**5 + 4*b**2 + 21*b**3 wrt b?\nAnswer: -780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from jjkjjajailaj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 9) to base 10.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/355? (a) 2 (b) -1 (c) 0.5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.14 + -5.1. Round l to one dp.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00483 rounded to 4 dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 116*w - 63*w - 61*w - 1 + 1 + 2*w + 0*w + 2*w - 4*w + 0 + 2*w + 0 + (1 - 2 + 2)*(-w + 3*w - w) - w + 5*w - 5*w - 2*w + 2*w + 5*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-150))\/((-783)\/1305))\/1.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -328646859 or -328646858?\nAnswer: -328646858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 461 + -465.05. Let h = a + 0.05. What is the second biggest value in -1, -3\/4, -0.3, h?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -189 + 188.8. Which is the third smallest value? (a) 1 (b) -3\/8 (c) -4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230010.\nAnswer: 2, 3, 5, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-61)\/(-3) - 1\/3. Let g be 5\/k + (-110)\/(-8). What are the prime factors of ((-8)\/5)\/(g\/(-35))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (7677\/(-5971))\/((8\/(-3))\/(((-112)\/(-6))\/(-4)))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*y - 2*a, -5*y + 5*a - 2*a = -34. Suppose 0 = y*b - 21 - 19. Let u = b + 22. What is the highest common factor of 40 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/68172 and 39\/5?\nAnswer: 340860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15522 * 49.\nAnswer: -760578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19289 is divided by 350.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6295897*h**2. Let o(k) = -k**2. Determine o(n(q)).\nAnswer: -39638319034609*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/5, 6, 13, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6158*n + 2. Let t(l) = -2*l**2. Determine o(t(i)).\nAnswer: -12316*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 93*n + 286. Let l be o(-3). Let j(a) be the third derivative of 5\/6*a**3 + 0*a - l*a**2 + 0 - 1\/24*a**4. What is the derivative of j(y) wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/7 + (7 - 94\/14). Let k = 0.19 - -0.81. What is the nearest to k in u, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**3 + z + 10. Let d(m) = 7*m**3 - 10. Let p(w) = -5*d(w) - 6*l(w). Calculate the remainder when p(-2) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (191 - 191 + 155*x)*(1 - x - 1) as k + m*x + p*x**2 and give p.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -9, 1, 4, -3, 2 in ascending order.\nAnswer: -14, -9, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/10)*l*l**3*(l*l**(-5)\/l)\/l*l*l**(-2))**(13\/7) assuming l is positive.\nAnswer: l**(-403\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.440453 nanoseconds?\nAnswer: 0.000006440453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010042580828 to five dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b - 2*j = 8, 0 = 3*b - 5*j + 22. Let i = b - -6. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48682.\nAnswer: 2, 101, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 20. What is the biggest value in 0.4, c, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -13. What is the remainder when o\/6*183\/2 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -2 in decreasing order.\nAnswer: 10, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/21, -0.688.\nAnswer: -0.688, -0.4, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - -445?\nAnswer: 45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 131 divided by 4\nAnswer: 131\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 - (58 + (136 - 210))?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -7 + (8 + 2 - (0 + 1)) + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, -8, 5, -1305 in decreasing order.\nAnswer: 5, 1, -8, -19, -1305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 336*j + 294 wrt j?\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1092.6 - -1090.6. What is the biggest value in y, -5, 1664\/7?\nAnswer: 1664\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1189*f = -3702*f + 103033 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49878753*t**5 - 66628245*t**2 wrt t?\nAnswer: -2992725180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(91)\/(sqrt(7)*2)*-2.\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -62925, -125815, -188705, -251595, -314485?\n\"Answer: -62890*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r\/(r\/r**38)*r)\/r*r)\/r)\/(r*r**(-13)))\/((r*r**(15\/4)*r)\/r)**28 assuming r is positive.\nAnswer: r**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14.5441 and -0.0239?\nAnswer: 14.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/72 and -5*(-3)\/15 + (537\/450)\/(-1)?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 86460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4505, 4582, 4659, 4736?\nAnswer: 4813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 + 11*b**4 - 17 + 6*b**4 wrt b?\nAnswer: 68*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 6.6.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031 (base 5) in base 2?\nAnswer: -100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 7 + 5 + 440. Suppose p = 13*o - 254. What is the smallest common multiple of o and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 7*t - 2*t - 19, -v = 3*t - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38.9 - 39. Let g = 5 + -1. Let j = -47 + 50. Which is the closest to p? (a) j (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -382, -764, -1150, -1540, -1934?\n\"Answer: -2*i**2 - 376*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5456)\/93)\/11*6\/20\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000864483 to seven dps.\nAnswer: 0.0000864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -3)*(-2)\/(-3). Suppose -12 = 3*c - 0*c, c = -t*m + 156. What is the greatest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:26 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 14760058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6636 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119 and 2?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from vrzrf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2774540?\nAnswer: 2, 5, 138727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -3\/8, 3, 13\/5, -27, 0.01?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112010021 (base 3) in base 10?\nAnswer: 10294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.09839 * 27868\nAnswer: 2741.93252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + 2.6. Let h = 47 + -47. Which is the nearest to -1\/3? (a) v (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5 - 13. Suppose 34*o + g = 30*o. Let z be (5\/(-15))\/(o\/6). Solve f = z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 13349523, 0.4, 4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.97993 - 0.00807. Let w = 97 + -77. Let r = w + v. What is r rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = w - 655, 0 = -4*g + 51*w - 54*w + 645. What are the prime factors of g?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/5 - 5802*h**2\/5 + 73098*h - 5694886\/5 = 0 for h.\nAnswer: -2963, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 30 - 140 = 0. Let f = -1319 + 1323. What is the remainder when j is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16 - -2)*(-2)\/4. Solve p = k + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5. Suppose -t + 5 = q + q, p = -3*q + t - 5. Solve q = -2*l + l + 3, -3*x + 2*l = 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -58*h + 549. Let x be j(8). Solve q + 4*c + x = 74, 5*c = -4*q - 22 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1371*a + 5469. Let q(y) = -195*y - 782. Let w(j) = -4*g(j) - 30*q(j). Differentiate w(x) with respect to x.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-70)*7\/20?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -821299 by 23.\nAnswer: -821299\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295117702?\nAnswer: 2, 11, 2927, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408, 415, 442, 501, 604, 763, 990?\nAnswer: 1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 - (966\/(-180) + (-11)\/(-55)). Sort 0.07, u, 2\/19 in ascending order.\nAnswer: 0.07, 2\/19, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22262147 or -22262146?\nAnswer: -22262147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 13244\/139, 2\/125 in increasing order.\nAnswer: -0.1, 2\/125, 13244\/139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -332.3 and -24.597.\nAnswer: -356.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8\/4 - (-46 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 736379.8 hours?\nAnswer: 2650967280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2, 5*w - 4*r + 5 = 4*w. Let m = -45 - -18. Calculate the remainder when 23 is divided by 6*w\/(m\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382486 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-11 - -1 - -3). Let u(p) = -p - 3 - 8 + 1 + i. Give u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l + 4. Let z be j(-3). Let k = z + 1. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2065\/(-118)*(-2)\/14*16\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 6014520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n + n - 3*n)*(-2 + 4 - 1 + (0 + 0 - 2)*(-2 - 2 + 0)) to l + o*n and give o.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 5:30 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8\/61 (b) 0.2 (c) -2\/9 (d) 579\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-60) + (-4)\/((-360)\/6519). Is 74 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -126*c**2 + 2. Let s(j) = -4*j**2. Calculate s(u(k)).\nAnswer: -63504*k**4 + 2016*k**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c = -489 - 3291. Suppose -c*w + 30 = -75*w. Solve w*p - 4*p + 13 = -5*j, -3*j + 17 = 5*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - b. Let m be q(0). Suppose -5 = -m*l - l - 3*i, -3*l + 1 = -5*i. Suppose -2*x + 4*x - 32 = 0. What is the greatest common divisor of x and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 17*m - 44. Let z be u(13). What is the highest common factor of 48 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -42, -57, -68?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3760944 and 70.\nAnswer: 131633040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-331 + 668 - 678)*(-3*z**2 + z**2 + 0*z**2) to a*z + u + h*z**2 and give h.\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10110111?\nAnswer: 10110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - z**2 + 13*z. Let l be o(0). Suppose 3*b - 1086 = -3*f, l = -5*b - 2*f - 37 + 1841. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*a + 3*x, 5*x - 22 = -0*a - 3*a. Suppose 17 = a*t + 5. Find the second derivative of n + 3*n**t - 3*n**3 - 5*n**4 + n**4 wrt n.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 88715, 177346, 265967, 354572, 443155, 531710?\n\"Answer: -y**3 + y**2 + 88635*y + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -26*f**3\/3 + 13. Let a(z) = -2*z. Determine a(o(w)).\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.5. Let j = -52 + 46. Which is the closest to 0? (a) -5 (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 261\/2 or -1?\nAnswer: 261\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83 and 3984?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/35*(0 + -5). Let q(c) = -c**3 - 2*c**2 - 4*c + 8. Determine q(h).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8290600 to the nearest 100000.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/((g*g*g**14)\/g)))**(-22))**(2\/17))**(2\/11) assuming g is positive.\nAnswer: g**(-120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*c + 276*c = -47*c - 436*c + 57267 for c.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 2\/29 (c) 1\/1106 (d) -1 (e) 2 (f) -2 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 11*k + 3. Let a be y(10). Do -7 and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2243*h + 2 + 2243*h - 2 - 9563*h**3.\nAnswer: -9563*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7316\/186 + -54)\/(2\/3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**9\/(((v\/v**(-4\/7))\/v)\/v)*(v**(-32))**46 assuming v is positive.\nAnswer: v**(-10238\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -267 + 274.06. Let k = 1 - 0.94. Let t = k - j. Which is the third biggest value? (a) 2\/15 (b) t (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 i when three letters picked without replacement from {i: 1, j: 1, p: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c + c**2 - 8 + 8. Let u(s) = -s**3 - 11*s**2 - s - 5. Let a be u(-11). Calculate the remainder when 10 is divided by p(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 806516*k + 806521*k - 22 = 0, -4*k = 2*f - 26 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -11*y + 44. Calculate the remainder when 24 is divided by 13 - (-1 + (y - 6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 - 5160\/165 - (-54)\/198?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 41*t**2 + 3*t - 2*t.\nAnswer: 41*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + 2 + sqrt(11) + sqrt(11) + 1 + 4.\nAnswer: 7 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 46*u**2 - 459*u - 8. Let x be g(10). Solve -99*b - 8 = -104*b + w, 0 = -2*b - x*w + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2354, 2349, 2344, 2339, 2334, 2329?\nAnswer: 2324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -69, -100, -131, -162?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-4))**(-26) assuming p is positive.\nAnswer: p**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/7 - 5176*c\/7 - 350328\/7 = 0.\nAnswer: -66, 2654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-14))\/((-22)\/(-231)). What is the greatest common divisor of 72 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**3 + 0*t**3 - 2*t**3 + (-3 + 2 - 3)*(2*t**3 + t**3 + 0*t**3) + 44*t**2 - 44*t**2 + 4*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.023308\nAnswer: 0.11654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 399 and 60.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -9*g**3 + 5*g**2 + 9. Is q(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-1 - 1) - -15. Calculate the greatest common factor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v*v*v**(-1\/14))\/v)\/v*v)*v**(2\/17)*((v\/v**(-7\/5))\/v)**(-2\/5))**(-6\/11) assuming v is positive.\nAnswer: v**(6621\/32725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 - 4*u. Let a = 2 - 5. Let c be y(a). Suppose c = -3*d + 486. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 2:48 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/13147164 and 125\/323532.\nAnswer: 144618804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cixxxxxxxi. Give prob of sequence xx.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l = 2*p + 27896, -2*l = 5*p + 18590. Let u(w) = -8*w + 61. Let v be u(8). Let g be (400\/1)\/(v\/l). What is g rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.249775m?\nAnswer: 0.005249775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41046.\nAnswer: 2, 3, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7708629 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, x: 12}. Give prob of picking 1 x and 3 q.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/1008*8\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 18828\/35, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -150*35\/210 - -14\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/(4773\/4588) - 42)*279\/24?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1565053310?\nAnswer: 2, 5, 156505331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -x, -10 = -0*x + 3*x + j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 640 (base 11) to base 10\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1394 - 871 = 0. Suppose p + 58 - g = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1428 and -121\/246636.\nAnswer: 1726452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*h - 53*h**3 - 2*h**2 - 53*h**3 - 5*h + 6*h**3 wrt h.\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3 - 3)*(-1 + 1 + 5)*(-y + 2*y - 5*y)*(4 - 2 - 3).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 greater than or equal to 29.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 234.5 - 235. Sort 0.05, 3, c in ascending order.\nAnswer: c, 0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 + 86. Let m be (-11)\/(154\/24) - b\/(-7). Is 477*1\/m*(-2)\/3 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2632880 divided by 4\nAnswer: -658220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sccsscsscs. What is prob of picking 1 c and 3 s?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856 = 91*t - 128 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 450845323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.2 (b) -0.1 (c) -3\/2 (d) -4\/9 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1001*a + 959*a + 174006 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5959.8 - -5958.39987. Let t = 1.4 + x. What is t rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*s**2 - 2*s**2 + 172 + 290 + 18*s**2 to y*s + g*s**2 + k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - n + 0*n + 47378*n**3 + 475 + 0*n**2 - 473.\nAnswer: 47378*n**3 - n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 396\/(-24)*(-1524)\/(-150876)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-13)\/((-2392)\/23)*3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - v + 26 - 18 - 3*v + 5*v + 0*v + (4 - 2 - 1)*(-v + 0*v + 4*v))*(-2*v + 4 + 7 - 3)*(-3 + 1 + 0) in the form j + p*v**2 + z*v and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32898.303214 + 32899. Let w = 0.89682 - c. Let h = w + -0.2. Round h to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-204*i**3 - 73*i**3 + 1396*i**3)*(0*i - 6*i - 5*i) + i**4 + 0*i**4 + 0*i**4.\nAnswer: -12308*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*((-10)\/6)\/(-5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 5)*(-4*t + 4*t - t) + 10*t + 8*t - 7*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 19*m**2 + 169*m. Let f(y) = 54*y**2 + 506*y. Give -6*f(x) + 17*w(x).\nAnswer: -x**2 - 163*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*x - 0*x - 13, 2*x = n + 4. Find the second derivative of -6*d**n + 0*d + 0*d**2 - 24*d + 12*d wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -51640.\nAnswer: 1\/12910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2104 is divided by 119?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a meter in millimeters?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77923?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -12*p + 496. Let v be 10\/15*1\/2*0. What is the tens digit of f(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44415*w**2 + 74877*w**2 - 21308*w**2 + 66924*w**2 + 84869*w**2.\nAnswer: 160947*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -243*r**7\/14 - 747*r**6\/4 - 7213*r**5\/12 - 415*r**4\/2 - 30*r**3 - 138*r**2. Suppose m(n) = 0. Calculate n.\nAnswer: -3, -2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6443 is divided by 107?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -1) + 301 + 4. Let t = 849 - j. What is the tens digit of (-8)\/(-28) + t\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - 18*x**2 + 2*x + 13. Let b be n(9). Let w = -14 + b. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 5*d - 2*d)*(2 - 2 - 1) - d + 0*d + 2*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145 + 44 + 20*s + 43 + 37 + 14.\nAnswer: 20*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1980)*-1)\/((-2*sqrt(25)*-5 + sqrt(25))\/sqrt(5)) + 1.\nAnswer: 1 + 30*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4377485 is divided by 1786?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hth when three letters picked without replacement from nnnntthnnnnnhnn.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*o + 12 = 0, -6*o + 61 = -5*x + 48 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101288093.\nAnswer: 101288093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2. Let c(h) = -12*h**2 + h + 105. What is c(b(s))?\nAnswer: -48*s**4 + 2*s**2 + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**3 - 8548*t**2 - 2896596*t - 228752748 = 0.\nAnswer: -153, 2443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) -2471 (c) 8 (d) 0.2 (e) 8\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b + 17*b - 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 21*i - 54. Let k be f(-18). Let w be (-2)\/(1*(-4)\/94). Let m = 330\/7 - w. What is the nearest to -2 in m, -5\/3, k?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 146\nAnswer: -17\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 528.35608 days?\nAnswer: 75.47944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 666928 a multiple of 571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 52*w**7\/7 - w**6\/3 - 17*w**3\/3 - 107. Find the third derivative of u(c) wrt c.\nAnswer: 6240*c**3 - 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 52. Let w = 45914 - 45897.0058. Let i = w - y. What is i rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2768)\/96 + 28 - (-17)\/6. Solve 10*o + 9 = 9*o + b*x, 3*o + 17 = 4*x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2 - 44*s + 46 = 0?\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, c: 2, f: 6}. What is prob of picking 1 f and 2 c?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267277, -534534, -801769, -1068970, -1336125, -1603222?\nAnswer: -1870249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -112 + 112. Solve 3*b + 2*b - f + 11 = d, -3*b - 5*f - 29 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211204.19 rounded to the nearest 100?\nAnswer: 1211200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p + 17. Let g(y) = 5*y + 1. Suppose -5*c + 108 = 2*z, -3*c + c + 2*z = -46. What is the remainder when g(p) is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3 (b) 3\/2 (c) -317\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0*b + 210. Let n = -6 + b. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5851072g to kilograms.\nAnswer: 0.0005851072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-16*(-11)\/44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76463 - 5?\nAnswer: -76468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 - -3) - (139 + -163).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, -79, -228, -521, -1006?\n\"Answer: -8*d**3 + 3*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) 348 (c) -1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*d - 160*d - 121*d - 162*d + 488*d.\nAnswer: -69*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 7:49 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/(33\/18) + (-800)\/(-140). What is the fourth smallest value in 4, -6, t, -2\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -37. Let v be (-4)\/14 - (-2)\/7. Suppose 3 = -3*u - v*y - 5*y, -5*u - 2*y = -14. What is the remainder when z is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 64.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 4*l**2 + l**2)*(-13*l**3 + 16*l**3 + 11*l**3) + (2*l + 3*l + l)*(-6*l**4 + 2*l**2 - 2*l**2 + (-4*l**4 - 2*l**4 + 5*l**4)*(-5 + 0 + 4)).\nAnswer: -44*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -15*r. Let g(w) = -130*w**2. What is g(m(d))?\nAnswer: -29250*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + h)*(84*h - 5*h**2 - 84*h).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22, 48, 88, 142?\n\"Answer: 7*i**2 + 5*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p. Let v(a) = 106*a**2 + 7*a + 64. Let z(x) = 71*x**2 + 4*x + 40. Let r(s) = -5*v(s) + 8*z(s). Determine k(r(g)).\nAnswer: -152*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 11:23 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4886268 or -4886320?\nAnswer: -4886268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -11111.\nAnswer: -11106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*t, 2*s + 0*s - 26 = -5*t. Suppose 0 = -2*f + 5*i + 56, -4*f + 2*i = -5*f + 19. Suppose -s*q + 10 = -f. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/21)*c*c**(21\/2)*(c\/c**(-13))\/(((c\/(c*c**18*c))\/c)\/c*c))**31 assuming c is positive.\nAnswer: c**(59365\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1772.999998487 - -1773. What is u rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7326 times -8.8?\nAnswer: 64468.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1*1\/2. Let w = -31 + 33. Let c be (w\/8)\/(7\/56). Is c smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.71 in -15, 1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 3*l - 7. Let i be b(-4). Let j = i - 26. Sort -2, 4, j in ascending order.\nAnswer: -2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from {s: 9, z: 3, a: 3, r: 5}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 7*z - 57. Let p be f(12). Solve p*l = -3*d - 3, -4*l + 6*l = -5*d + 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m + 7*m + 8*m + 8*m to the form o + f*m and give f.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3588052*j**4 - 3711835*j?\nAnswer: 43056624*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 14) to base 8\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95090 is divided by 6790.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*u + 8 = 0, -1255*y + 1251*y - 4*u = 0. Let o be 13\/(-2) - 2\/(-4). Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 5*q + 20. Let b be p(-7). Suppose 283 = b*s + 31. Let a be (1\/3)\/(2\/84). What is the greatest common factor of a and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3528 and 26691084?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 542077, 542048, 542019, 541990, 541961?\nAnswer: 541932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 2, -3*s - 31 + 23 = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098253357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 2*i**5 + 0*i**2)*(-3 + 1 + 0 + 2 - 2 - 2 + (3 - 2 - 2)*(-3 - 2 + 7)) - i**5 - 2 + 2.\nAnswer: 11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 9. What are the prime factors of l(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1296*g**2 - 7*g + 1156. Let p(y) = y**2 - y - 3. Let b(v) = j(v) - 7*p(v). What is the derivative of b(d) wrt d?\nAnswer: -2606*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n - 4124. Let i = n + -2569. What is i rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12141 and 36352?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3933818162 + 58738\nAnswer: 3933876900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*u - 97*u - 308 = 0. What are the prime factors of u?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*c + 5351 = 0, 0 = -f - f - 5*c + 2693. What is the remainder when f is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12948150 and 9250?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 970 and 50.\nAnswer: 4850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/27585105 and -59\/4005.\nAnswer: 82755315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 take away -56287288003?\nAnswer: 56287287959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*q**3\/5 - 22898*q**2\/5 - 85952*q\/5 - 80248\/5 = 0. Calculate q.\nAnswer: -2, -7\/4, 2866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2782*x**3 + 10*x**2 + 5*x + 10. Let v(r) = 4173*r**3 + 14*r**2 + 7*r + 14. Give 7*t(o) - 5*v(o).\nAnswer: -1391*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktpor. What is prob of sequence otr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z + 3. Let m be o(-1). Suppose -m = -2*b + 1, -x - 18 = -5*b. Sort 2\/15, 2\/9, -1\/4, x in decreasing order.\nAnswer: x, 2\/9, 2\/15, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 0*s + 0*s)*(0 - 4 + 6) + (2 - 3 - 1 + (2 - 2 + 1)*(2 + 4 - 5))*(9*s + 18 - 18) to the form k*s + u and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 5*g = 0. Let w(j) = -j**3 + 2*j**2 - 3*j + 3. Let x be w(2). Let n be g + (-2)\/x*3. Is n at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -46.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 = 3*i - 26. Is (-6)\/(-3)*i\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10902.7? (a) 0.23 (b) 0.3 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*s - 13*s + 111528 - 111528.\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 p when four letters picked without replacement from iipipipipi?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -507, 153, 1965, 5505, 11349, 20073, 32253?\n\"Answer: 96*j**3 - 12*j - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - d**2 + d + 2. Let y(g) = -4*g**3 - 91*g**2 - 2303*g - 4238. Let t(r) = -3*u(r) - y(r). Factor t(h).\nAnswer: (h + 2)*(h + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113309329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 180 - 462 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 4, 1 in increasing order.\nAnswer: -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 smaller than -26.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14030bb (base 15) in base 16?\nAnswer: -dc501a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139644 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 8:22 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000044883 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/25*496\/1488.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1445 less than -0.11201538?\nAnswer: 0.03248462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79092, -158170, -237248, -316326?\nAnswer: -395404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*n + 4*l, -716*l + 12 = -5*n - 710*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**3 + 11*w**2 - 11*w - 6. Let t = -3 - -5. Let g(d) = 0*d**3 + 0*d**t + d**3 - 2*d**2 + 2*d + 1. Calculate -22*g(x) - 4*h(x).\nAnswer: 2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 2*f = 0, -5*l = -14417*f + 14421*f + 39 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 1134?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 41 = -4*h, -5*h = -5*k - 23 + 28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6431 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275675?\nAnswer: 5, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3466\/37 + -99471\/296. Is y at most -241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 c when three letters picked without replacement from hhheechwwceehchccc.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -59969448 divided by 264?\nAnswer: -227157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 12 = -5*h. What is the second smallest value in h, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -1\/3, 692, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/q*q)**(7\/4)\/(q**(2\/19)*q**9) assuming q is positive.\nAnswer: q**(-306\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = c + 78. Calculate the remainder when 50 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/(40656\/(-16940)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/5 - 6342223*m**3\/5 + 13407939316863*m**2\/5 - 1889697983915339793*m + 37793745151683628068\/5.\nAnswer: (m - 2114073)**3*(m - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17856, 17997, 18342, 18981, 20004, 21501?\nAnswer: 23562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + c**2 + c - 1. Suppose -41*l + 2 - 4 = 39. Let x(o) = 7*o**3 + 4*o**2 + 3*o - 3. What is l*x(y) + 4*h(y)?\nAnswer: -3*y**3 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.5 or 121217?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 139603 and -1.\nAnswer: -139603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -24181370 and 35.\nAnswer: -24181335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 29*r + 61. Suppose -49*j = -45*j - 2*d - 56, 0 = 2*j + d - 16. Give m(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2570 is divided by 906.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = 1. Suppose 2*r + 4 = 0, 2*k - 2*r - 4 = 3*k. Suppose -4*g - 4 = -k*g. Is g at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26 - 3*r - 4*r**2 - 291*r**3 - 131*r**3 + 35*r**3 - 5*r**5 + 16*r**3 wrt r.\nAnswer: -300*r**2 - 2226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606927 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x - 27*x + 62 = 4*d, -4*x - 10 = -d. Let h(a) be the first derivative of 0*a + d*a**2 + 44\/3*a**3 + 10. Find the second derivative of h(q) wrt q.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1700 and 27565840.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqhuzrhqzzrrzrorrzr. What is prob of picking 1 u and 1 z?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 2:26 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(44)*-2*-5 + (sqrt(132)\/(1*sqrt(12)) - sqrt(66)\/(sqrt(6)*2))**2).\nAnswer: -80*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -178570788 divided by -453\nAnswer: 394196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - h + 5 = 0, -240*p + 47 = -193*p - 5*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**4\/24 + 17*n**2. Let g(s) = 4*s. Let w(u) = 20*c(u) - 4*g(u). Let m(i) = -4*i**2. Determine w(m(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*v - 12*v + 2*v)*(2 - 1 + 1) + 16903 + 122*v - 16903 + (0 - 1 + 0)*(-3*v + 3*v + 2*v) + 3*v - 2*v - 3*v as g*v + u and give g.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-8)*(0 - -4). Let i = m - 0. Let b = 0 - i. Solve -y + 3 = b, 2*g - 4*y = 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/18 - (-192)\/108. Suppose -2*i - 7*u - 37 = -t*u, 3*i + u + 23 = 0. Let y(d) = 4 + 5*d - 5 + 0*d**2 + d**2. Determine y(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1744*y**3 - 1747*y**3 + 10429*y**3 - 1710*y**3 - 1739*y**3 - 1741*y**3 - 1746*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-3)\/(24\/(-20)))*(-441625)\/7066.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1196524 bigger than -1196522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34809*t**5 + 16*t - 707 wrt t.\nAnswer: -696180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, -8.76714, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29732419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60556?\nAnswer: 2, 15139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8671 and 403535.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93325611 to the power of 1\/2, to the nearest integer?\nAnswer: 9661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.9940586 months?\nAnswer: 0.16617155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 6 = 17*u. Suppose -73 = -u*s - 160. What are the prime factors of (s - -2)*6*(-5)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1142218135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4844584 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-6) + (-64)\/96. What are the prime factors of y\/(-8)*-182*(2 + -14)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-122)\/4 + (-5)\/(-10). Let z = a + 32. Suppose 3*o = 5*h + 46, 0*o = z*o - h - 33. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*s**5 - 8*s**3 - 77*s**2 + 176722*s wrt s?\nAnswer: -2000*s**3 - 48*s - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 933664060 rounded to the nearest one hundred thousand?\nAnswer: 933700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -97*w**3 - 83*w**2 - 84*w. Give o(-1).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -0.07, 2\/5, -18?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/(-32) + 0)\/(9\/213) and 79\/1806?\nAnswer: 14448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -12*u**3 + 33*u**2 + 13*u + 71. What is the ten thousands digit of g(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 62 + (1 - 38).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(408)\/(sqrt(48)\/sqrt(4))*2)\/((3*sqrt(64) - sqrt(64))\/sqrt(8)) + -5).\nAnswer: -sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2991112726569 - -2991112729346.999996459. Let c = d + -2778. What is c rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(27)*2)\/sqrt(9).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (34 - (32 + -36))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 48. Let g = -22 - l. Solve 4*y = -n + g, y + 5*n + 1 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32244.666 and -0.3.\nAnswer: 32244.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-1)\/(-2)*(-23 + -15). Suppose -i*a = 9*a - 50. Factor 4*f**3 + 0 + f + 17\/2*f**a.\nAnswer: f*(f + 2)*(8*f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*v - v - 20, -3*d - 37 = 2*v. Let l(q) = -10*q**2 - 1. Let h be l(-1). Are h and d nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 17 = 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2)*(-6)\/4. Let q = 4 - m. What is the smallest common multiple of 2\/(-8) - (-45)\/4 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((4 - 3) + 0)*4. Suppose -2*a = -4*a + 2. Let w(t) = -2*t + 2. Let i be w(a). Solve i*z - 2*z = c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4372, 8725, 13078, 17431, 21784?\nAnswer: 26137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2 + 9165*t + 54992. Calculate s(-6).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11135715 (base 9) to base 14\nAnswer: -a06d84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10*(-38)\/6)\/(193*867\/(-3346620))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c**(-1)\/c*c)\/c*c)**(-1\/6)*c**(-4\/5)*c**(-2\/3) assuming c is positive.\nAnswer: c**(-49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.07 (b) 2\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1459061 + -898781363\/616. Let y = 1\/56 + u. Factor 0 + 2\/11*t**2 + y*t.\nAnswer: 2*t*(t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88686 = -1337*a + 8159*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13812 and 20718.\nAnswer: 41436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43957720, -43957721, -43957722, -43957723?\n\"Answer: -y - 43957719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 182*b + 7746. Determine o(-35).\nAnswer: 1376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 18*f**2 - 1712*f - 13320.\nAnswer: 2*(f - 37)*(f + 10)*(f + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 4*l. Solve c - l = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 20, -99*m - 2*u + 17 = -94*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/47)\/k**(-4\/17)*(k*k**34)\/k*k**(2\/15)\/k assuming k is positive.\nAnswer: k**(399413\/11985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41118 * 53.\nAnswer: 2179254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 28*v - 20. Let a(p) = p**2 + 42*p + 30. Let s(u) = -5*a(u) - 8*y(u). Is s(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315 (base 6) in base 11?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33894 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2. Let v(n) = -2*n**2 + 14*n + 3. Let j(o) = 3*s(o) + v(o). Let d be j(-12). Let l = d + 36. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 17 = 31. Let i = o - 11. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38676?\nAnswer: 2, 3, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 18*c**2 - 4*c + 32. Let j be p(11). What is the units digit of j\/9 + -1 - (-4)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -613 or -243738\/397?\nAnswer: -243738\/397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1000*u + 3434. Determine z(3).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1)*(2*v**3 - 2*v**3 - v**4) + 605 - 605 + 29*v**2 - 2*v**4 to the form p*v**3 + k*v**2 + s*v**4 + q + h*v and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027*f = 2183*f - 1086*f - 2940 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000892753 to 5 dps.\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 1:40 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.682 - -0.118. What is r rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1494*y - 60. Does 33 divide c(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 12022100010?\nAnswer: -12022022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 1248?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 102 + -364?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from kkkrkr.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, 16, 0 in increasing order.\nAnswer: -5, -4, 0, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7687 - 7762 = 5*q - 5*l, 0 = -5*q - l - 51. Let g = 10 + -14. Which is the second smallest value? (a) 1\/9 (b) q (c) g (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 14*f + 10. Let k be r(13). Let x(q) = -q**3 - 7*q**2 - 3*q - 1. Give x(k).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1650\/(-440)*(-16)\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 916*d + 923. Let a be b(-1). Let h(i) be the third derivative of i**5\/60 - i**4\/6 - 3*i**3\/2 - i**2. Determine h(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -770, 167363, -1 in ascending order.\nAnswer: -770, -1, 167363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 6)*(25*y - 21*y - 6 + 2).\nAnswer: 8*y - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-19)*17442\/1377. Solve 9*b - 4*r - 18 = 11*b, -2*b = r + p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + v - 11. What is x(-12)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*o**3 + 655*o**3 - 141*o**3 - 146*o**3 - 207*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 6990*z + 5859584. Calculate a(-974).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13349 or 508?\nAnswer: 508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 2)*(1 - 0). Suppose -j*m + 103 + 209 = 0. Let o = m - 72. Calculate the greatest common factor of 80 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263892384 divided by 6283152.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3)*5 + 5))**2.\nAnswer: 1800*sqrt(3) + 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1584) + ((0 + sqrt(11))*5)**2 - 1*(sqrt(1584) + (sqrt(1584) - (sqrt(1584) + -3 + sqrt(1584) + -4)))**2).\nAnswer: 12*sqrt(11) + 227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u + 5. What is c(-5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -978*u + 6009 = -11595 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.1. Let g be 1\/8*-7 + 1. Which is the biggest value? (a) 2\/3 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 47386, 94762, 142138, 189514, 236890?\n\"Answer: 47376*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -0.2. Sort n, 5, 0 in decreasing order.\nAnswer: 5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*s**5*w - 20*s**4*w**3 + 2*s*w**3 - 15*s*w - 2 wrt s?\nAnswer: 520*s**3*w - 240*s**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/2)\/(((-60)\/(-3))\/2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/741 and -59\/3429.\nAnswer: 846963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -19*f + 1. What is the units digit of d(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 11. Find the second derivative of -17*i**l + 25*i + 8*i**2 + 10*i**2 wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 4*o - 3. Let f(n) = -n + 1. Let k(i) = 6*i - 6. Let t(z) = -5*f(z) - k(z). Let h(a) = -a**2 - a + 7. Let l be h(2). Calculate l*w(j) + 2*t(j).\nAnswer: j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 < 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kffh when four letters picked without replacement from ffkktknknhn.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -136223.2216 - -2796.51\nAnswer: -133426.7116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 - 105*n**3 + 9*n**2 + 309*n - 210.\nAnswer: -3*(n - 1)**2*(n + 2)*(n + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 85019*w**2 + 4*w + 6. Let z be k(-4). Let v = -810294 + z. What is v rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + 2) - (-6 - -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2151 + 2223. Let k(o) = -o + 11. Let i be k(9). What is the closest to -0.1 in -4, v, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxq when three letters picked without replacement from xsynxqu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45.35021l?\nAnswer: 45350.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 757*y + 5129. What is the smallest common multiple of l(-5) and 210?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -8*j, -3*t + 5*j + 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**4\/6 - 7*b. Let p(k) = -k. Let u(r) = -r. Let m(v) = p(v) - 3*u(v). Give d(m(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*c - 4*c + 16, -5*d = 3*c + 31 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*a - 72 = 62*a. Suppose -2*r + 200 = -x - x, 5*x = 4*r - 395. Suppose 13*f = a*f - r. Calculate the greatest common factor of f and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11304 and 11509199?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -10410550?\nAnswer: 10410543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 126 in -1\/3, -50\/3, -2, -0.3, -0.1, -106\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6))\/((-390)\/585)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(5\/(-20)). Let c(s) = 2*s**2 - s - 2. Calculate the smallest common multiple of c(a) and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 - -93.39. Let g = 0.01 + f. Let w be 2 - (32\/18 + 0). Which is the nearest to 0? (a) g (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218491051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -323620 (base 7) to base 3\nAnswer: -2212120211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1607429 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14 = n, 0 = -p - 2*p + n + 2. Suppose p*d - 4*u + 4 = 3*d, -4*d = 5*u - 5. Solve d = 5*l - 4*b - 0 - 1, l + 3 = 4*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 1236*a**3\/5 + 2428*a**2\/5 - 88*a\/5 = 0.\nAnswer: -2, 0, 11\/309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -12. Solve -2*k = -2*y - 6, -4*k + 3*y + 2*y + 12 = x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -1.7, 54\/17?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*g - 4. Suppose -2*u + 0 = -8. Let y(j) = j**2 + 2*j**3 - u*j**3 - j - 5*j - 6 + 5*j**2. Let o(v) = -v**2 + v + 1. Give g*y(f) + 6*o(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -1 + 6\/4. Let a = -5 - -9. Suppose 34*g = 37*g. What is the nearest to 1\/2 in a, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 10 + -161 + 96 + -12.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 1. Let m(z) = 5 + 30103*z**3 - 60203*z**3 + 30106*z**3. What is 5*b(s) + m(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00861464 to five dps.\nAnswer: 0.00861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4475 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -718?\nAnswer: -719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2199309 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 193 + -63. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 7.9. Sort 4, s, 0.4 in decreasing order.\nAnswer: 4, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 1528*m - 33132. Let j be q(-22). Let p = 0 - 0. Which is the nearest to j? (a) -2\/11 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -403*q + 68 wrt q?\nAnswer: -403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -789, -3337, -7579, -13509, -21121?\n\"Answer: i**3 - 853*i**2 + 4*i + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-26))**(1\/5)\/(u**(-13)\/(u\/u**(-24\/5))) assuming u is positive.\nAnswer: u**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 85.43 and 0.2006.\nAnswer: 85.6306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 6*o - 4. Let l be p(7). Suppose -l = -x - 1. Solve 0*a + x*a - 10 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/3 (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 11628*j + 23248.\nAnswer: 2*(j + 2)*(j + 5812)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1171068.461 + 47.61.\nAnswer: -1171020.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*t - 404, c - t = -4*t + 209. Calculate the greatest common divisor of 108 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/570 and -97\/5776.\nAnswer: 86640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 30, 60, 110, 186, 294, 440, 630?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142.3 - -1681.3. Let t = v - 1538.99229. What is t rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858827 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*v + 6 = 0, -2*u - 2 = -2*v - 6. Suppose u*a - 24 = -a. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -10. Suppose -2*t + 4*t - 20 = 4*b, 2*t + b - 5 = h. Let j be (1*-1 + 4)*1. Put t, j, -3 in decreasing order.\nAnswer: t, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 32. Let h be d(-8). Suppose -s + h = -3*o, -s = 4*o - 9*o - 24. What is the derivative of -4*n**2 - 11 - s - 8 - n**2 wrt n?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**6\/120 - z**5\/20 - z**4\/4 + z**3\/3 + z**2 - 1. Let o(a) be the second derivative of b(a). Is o(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 3*d**2 + 7*d - 10. What is the units digit of l(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wygwky. Give prob of picking 2 w, 1 k, and 1 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**2 - 5*h - 4. Let g(n) = 4*n**2 - 2*n - 2. Let l(i) = 5*g(i) - 3*u(i). Let d be l(5). Let c = 7 - 9. Sort c, 5, d in descending order.\nAnswer: 5, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 43299224*q + 468705699750544.\nAnswer: (q - 21649612)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32633 or -32620?\nAnswer: -32633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125571759 - 6884.\nAnswer: 125564875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-91)\/(-14))\/(-13))\/((-2)\/12). What is the tens digit of 79 + (-8)\/12*o + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.519 - 0.404. Let f = m - 0.015. Does f = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - 28. Let j = t - -52. Is 15 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 2*x - 2. Let v be p(4). Let d be (4\/v)\/(6\/9). Calculate the remainder when 32 is divided by d\/3 - 32\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = -4*s + 5*o + 1006, 2*s - 329 = 3*o. Suppose 5*r - 1137 = s. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 0*h + 2*h)*(-121 + 7 - 23)*(2*h**4 - 3*h**4 + 0*h**4).\nAnswer: -274*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-12)\/(r*r\/(r*r**(-27))))\/(r**(-2\/5))**(-29) assuming r is positive.\nAnswer: r**(-258\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 124\/19 or -9?\nAnswer: 124\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 18 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.317 + 0.027. Let o = 3.51 - n. Let u = o - 2.8. Is u greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 68, -9, -1, -2 in ascending order.\nAnswer: -9, -2, -1, 2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 695688 and 64575?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.062000172 + 0.062. Round v to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259978 is divided by 259957?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-8))\/(1\/20) - 1. What is the highest common divisor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-26)*v**(-1\/12))\/(v\/(v*((v*v**(4\/5)\/v*v*v)\/v*v)\/v))**(4\/3) assuming v is positive.\nAnswer: v**(-1421\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/16 + (2 - 3).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3576 divided by -298.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ba229a (base 12) in base 5?\nAnswer: 1223321444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -411 + 411.6. Let p = 2.6 - 7.6. What is the smallest value in p, -2, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*c - 9*c - 17*c - 1 + (2*c + 2*c - 2*c)*(0 + 5 - 3) + 7*c - 2 + 2 + (-9 + c + 9)*(-4 - 1 + 3))*(-3*c + 0*c + 2*c**2 + 2*c).\nAnswer: 16*c**3 - 10*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141275 take away -0.055?\nAnswer: 1141275.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 3\/14*j**2 + 1\/21*j**3 - 12 + 2\/7*j. Suppose c(k) = 0. Calculate k.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/353349 and -1\/108.\nAnswer: 1413396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 6*h**2 - 5*h + 2. Let r be m(5). Suppose -x - 2*x = 0. Which is the third biggest value? (a) r (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c - 4. Let t(m) = m. Let l(y) = 3*t(y) - u(y). What is the units digit of l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.27 - -0.47. Let h = 29.3 + w. Let n = h + 10. What is n rounded to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554 = 16*x - 8746. Let q = 469 - x. Which is the smallest value? (a) q (b) -0.3 (c) -2\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:05 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -5*h**4\/6 + h**3\/2 - h**2. Let n be w(-2). Suppose -3*y = -n - 17. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72 + 16*d - 2*d**2 + 185 - 73.\nAnswer: -2*(d - 10)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 1:20 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 22. Let s be m(-14). Let i = -1261 + 1279. Calculate the lowest common multiple of (-90)\/(-4) + (-9)\/s and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/4 (b) 2 (c) -2.54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*p + 3*p. Let x = 0 + -0.5. Let d = x + 1.3. Which is the nearest to -1? (a) -1\/6 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 1515*y - 3026.\nAnswer: -(y - 1513)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1146 or 41?\nAnswer: 1146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 33505 and 33504 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - 530?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -62538 - -1483?\nAnswer: -61055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*p = -4*b - 53, b = -2*p - 1. Let x = -5 - b. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-175)\/(-140))\/(1\/4). Solve 3*q + 7 = -2*b + b, -h*b + 16 = -2*q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1748*t**2 - 16 + 839*t**2 + t**3 + 883*t**2 as w + f*t**3 + x*t + m*t**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -589276\/3 - -193953. Let b = 21079\/9 + j. Let t = b - -130. Sort -1, -1\/4, 1, t.\nAnswer: -1, -1\/4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750818637.\nAnswer: 3, 83424293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 627 divide 208475619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34933?\nAnswer: 181, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -10*d**4\/9 - 34*d**3\/9 - 32*d**2\/9 - 8*d\/9 = 0?\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 780521120 divided by -2?\nAnswer: -390260560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54490887?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**(19\/2)))\/h*h\/h**(-1\/17)*(h\/(h*(h**(-3\/2)*h)\/h*h))\/h**13 assuming h is positive.\nAnswer: h**(-390\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -30*g**2 + 2*g. Determine m(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/26 in 4, -0.0639, -4?\nAnswer: -0.0639","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14373, -120 in increasing order.\nAnswer: -120, -4, 14373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1049 - 1049.3. What is the closest to 0 in -5, -1\/5, 22, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.909 minus 24?\nAnswer: -25.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -14*o + 743. Let c be b(63). Put 3, c, 0.5 in descending order.\nAnswer: 3, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r + 11. Let w(b) = 7*b + 14. Let m(t) = 3*i(t) - 2*w(t). Let g be ((-3)\/2)\/((-3)\/(-8)). What is m(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*29*(720\/(-4))\/45.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.94167 and -10.\nAnswer: 69.4167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s. Let j(v) = v**2 + 9*v. What is j(u(f))?\nAnswer: 16*f**2 + 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 5316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from dyydyddyddydd?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*k + 270, -k + 3*s - 18 = 26. Let f = -2 + 10. Let w = f - k. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(100)\/sqrt(2) - sqrt(50) - sqrt(50))*6)\/sqrt(10))*3.\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -2*b**3\/3 + 7. Let x(f) be the third derivative of -3*f**5\/20 - 45*f**2. Give u(x(q)).\nAnswer: -162*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**4\/12 + f**3 - 23*f**2. Let h(g) be the first derivative of -g**2 - 5*g + 1. Let b(u) = 4*h(u) + 3*z(u). Determine b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/944943 and 11\/23623575?\nAnswer: 23623575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13022 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*t - 14, 4*v + 1 + 7 = t. Let n = 0.02 - -0.01. Let q = -0.13 + n. Do q and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85.71584 millilitres?\nAnswer: 0.08571584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1.8, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1553*a + 3. Determine y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -5*j - 586 + 632, 4*g + 0*g + 4*j = 116 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*u - 33, -4*v + 57 = v - 3*u. Let n = -25 + 44. Let z = v + n. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*v + 31846 - 31846 - 12*v**2 - 760*v to the form w*v + q + a*v**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1342559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -10. Let c = 13 + b. Solve c*v + 3*n = v - 2, 5*v - 4*n + 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 + -272\nAnswer: -271.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (297\/44 - 7)\/((-1)\/12). Let d(x) be the first derivative of -6*x - x**3 - 9\/2*x**2 - l. Determine b, given that d(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16013, 16015, 16017, 16019, 16021, 16023?\nAnswer: 16025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -122\/7?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -502 - -520. Suppose 726 = -5*l - g - 2*g, 3*l = -4*g - 440. What is the lowest common multiple of ((-14)\/(-4))\/((-9)\/l) and z?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -1. Let y = 12 - a. Let h = 39 + y. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixf when three letters picked without replacement from {x: 2, f: 4, o: 1, e: 1, i: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 373, 443, 513?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -715869 (base 11) in base 9?\nAnswer: -2142070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzbzbbbbbbz. What is prob of sequence bzbb?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/3 - 5\/15. Suppose -5*j - 33673040 = s*j. Let k = 209130 + j. Round k to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 132 = -d, -136 = -q - 5*d + 2*d. What are the prime factors of q?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 847867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6354906 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/71003 - -245173449\/710030. Let r = w + -345. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**5\/12 + 11*k**4\/12 + k**3\/6 - 31*k**2. Let d be v(4). Solve -7*x + d*x + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 411 = 5979. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 7*y - 39 = -3*x, 2*y - 5*x + 38 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 35 (b) -4 (c) 80414\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -506 + 150?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2860 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26399\/4 or 0.2?\nAnswer: -26399\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/5 - 3246*q\/5 = 0.\nAnswer: -3246, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*d - 325, 2*d - 8 = -6. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -27*v**2 + 7*v**2 + 17*v**2. Let c(w) = -3*w**2 - 140. Calculate y(c(b)).\nAnswer: -27*b**4 - 2520*b**2 - 58800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -119 - -1?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 460 and 24133480?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -55 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 641 divide 35886385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6, -2\/7, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a - 20 + 57 + 20 + (4 - 4 + 2)*(-2*a + 5*a - 2*a).\nAnswer: 7*a + 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1298 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/120 - d**4\/12 - 20*d**3\/3 + 3*d**2 + 10. Let b(n) be the first derivative of i(n). Give b(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 24. Let p(r) = -3*r - 60. Let a(s) = 2*p(s) - 5*v(s). Let x(y) = y**2. Give -a(j) + 2*x(j).\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 4*n)*(2*n**2 - 4*n**2 + 3*n**2)*(2 + 2 + 2) - 262*n**3 - 47*n**2 + 125*n**3 + 149*n**3.\nAnswer: -12*n**3 - 47*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*u**5 - 11*u**2 - 6*u wrt u?\nAnswer: 5340*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**3\/6 - 2*l. Let f = -15 + 21. Let i(x) = -6 + f - x. Calculate i(w(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 947999055 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5) - 8\/(-15)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767374?\nAnswer: 2, 31, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (2745\/60)\/((-1)\/(-4)). Suppose -4*f = l - w, 0*f - 2*f = -10. What is the remainder when l is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2995911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-5 - -1) - -2 - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 10 - 1)*(0 + 0 - 2*m**2) + 3*m**2 + 2*m**2 - 4*m**2 + (-4 + 4 + 2*m)*(-3*m + 5*m - m) to the form v*m**2 + l*m + k and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -125?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 0*m - 1\/60*m**5 - 2*m**2 + 0*m**3 + 0*m**4 - 4. Let v(r) be the second derivative of x(r). Let n(c) = 2*c**2. Give n(v(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 6811.7 (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 - j**2 - 2*j + 1. Let m(l) = -13*l**3 + 4*l**2 + 9*l - 4. Suppose 5*v = -3*g + 31, 0*g + v = -4*g + 13. Calculate g*m(f) + 9*p(f).\nAnswer: f**3 - f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/11)\/d**(4\/9))**37 assuming d is positive.\nAnswer: d**(-629\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * 17771.\nAnswer: -604214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15600*k - 33 = -15598*k - 31*z + 25, 3*z = 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (284 - 137 - 68) + -3 + 0 + -17.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80737 and 0.03.\nAnswer: -2422.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 1:07 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5080651, -20322603, -45725857, -81290413, -127016271, -182903431?\nAnswer: -248951893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623399448?\nAnswer: 2, 3, 7, 3710711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -532 + 2129\/4. What is the second biggest value in 0.2, 12, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17950)\/(-175) - (-12)\/(-21). Sort m, 3, 5 in increasing order.\nAnswer: 3, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -10249.315.\nAnswer: -2049.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.0523, 0.05, -6, 1\/17, 1 in increasing order.\nAnswer: -6, -3, 0.05, 0.0523, 1\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/15, 1\/13, 0.4, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*j + 1)*(1 + 1 + 0) - 7*j + 4872 - 9630 + 4278)*(2*j + 0 + 0).\nAnswer: -6*j**2 - 960*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 + 3*q - 14. Let j be 5\/(-20)*0\/1. Suppose -18 = -2*r - j*r + 4*n, -4*n = -4. Let m(b) = 2*b**2 + b - 5. Let k(d) = r*m(d) - 4*s(d). Give k(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(84) + sqrt(84) + sqrt(84) + 6*(-2*sqrt(84) + sqrt(84) + sqrt(84)))\/(1*sqrt(768)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44983*9.\nAnswer: 404847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 97, 126, 175, 250, 357, 502, 691?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/98 + (-60)\/(-14). Solve v + r = 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**14)\/d*d**4)\/(((d**4\/d)\/d)\/d)**(-5\/2))**(1\/8) assuming d is positive.\nAnswer: d**(-13\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -14. Suppose -2*y + 2 + 3 = -j, -5*y - g*j = -18. What is the third derivative of -2*q**2 + q**2 + 4*q**y + 6*q**2 wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1619844 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*s**2*t + 21*d*s - 2*d*t - 295*d - 6*s**2*t wrt s?\nAnswer: -2*d*s*t + 21*d - 12*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238524*w**3 + 340 - 238517*w**3 + 0*w**2 - 2*w**2 + 2*w to o*w**3 + q*w**2 + y*w + b and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -1, -4\/5, 2\/5, -67, 3, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 2:02 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3178)\/(-454))\/(-3*1\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -15.8 (c) 1 (d) -3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -2\/11, 799, -0.06, 16, -0.75?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6072414612.\nAnswer: 2, 3, 11, 181, 254161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40 (b) 3\/7 (c) -1\/6 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-5)*-3*(-6)\/9. Let i = -5\/62 - -273\/310. Which is the second biggest value? (a) -1 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27512)\/10860*(-35)\/14.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 10:37 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2 + 125. Calculate the remainder when w is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at most as big as -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 m, and 1 u when four letters picked without replacement from mmjapru?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, w: 1, e: 1, f: 1, d: 3, a: 2}. Give prob of picking 2 k and 2 a.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/7))\/(q*q**(-6)*q)*((q*(q\/(q\/(q*q*q\/(q*q**(-1))*q)))\/q)\/q)**(2\/9)*q*q*q*q*q\/((q*q**7)\/q)*q*(q\/q**0*q)\/q*(q**0)**(-4\/3) assuming q is positive.\nAnswer: q**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1035, 989, 777, 291, -577, -1935, -3891, -6553?\nAnswer: -10029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25720 - -25719.99971124. Round j to six dps.\nAnswer: -0.000289","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 763981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/22)*(l**(-12\/11)*l*l)\/l*l)\/(((l*l**15\/l*l)\/l*l)\/l**23) assuming l is positive.\nAnswer: l**(193\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2528317?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -902*a**5*z**2 - 10*a**3*k*z**2 + 3*a**2*k*z**2 + 8*a**2*z**2 + 7*a*k + 10*k - 1 wrt a.\nAnswer: -54120*a**2*z**2 - 60*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(1\/8)\/z*z)\/z)\/z*z)\/(z**(-24)\/z)*z*z*z\/(z*z**28)*z**(1\/48)\/z)**7 assuming z is positive.\nAnswer: z**(-959\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5 - 108*p**4 + 120*p**3 + 330*p**2 - 117*p - 222 = 0. Calculate p.\nAnswer: -37, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (22\/(-4) + 4))*0. Let f(s) be the second derivative of w*s**3 - 1\/3*s**4 + 0 + 0*s**5 + s**2 + s + 1\/15*s**6. Factor f(i).\nAnswer: 2*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135498923 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 703\/(-333) - (-2)\/18 - -101. Calculate the highest common divisor of 1320 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzmmzzmmmzzmzzzmmm. What is prob of sequence mmm?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 e, and 2 r when four letters picked without replacement from {r: 10, e: 2, p: 3, q: 3, b: 2}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*q - 29, -5*y - 4 = -14. Suppose 2*r = 5*n, 2 = 3*n + r - q. Which is the closest to -2\/5? (a) 0.1 (b) -2\/21 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2))\/(14\/7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2694 and 3143?\nAnswer: 18858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (0 + 1)) + 4029 + -4029.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*b + 68*b - 34*b)*(0 - 5 + 1) to g + c*b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 2:28 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003203 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84012 is divided by 1317.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 5780 = -9*f - 2*i, 3*f - 5*i = 8622. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -372\/14071 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.05 + 0.05. Suppose -3*y - 3 = 3*r, 7 = -5*r + 17. Which is the third smallest value? (a) 0.2 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -54. Let n be 2\/(o - (-7 + 1)). Let f be n\/(8\/(-19)) + 4. What is the closest to 0 in f, 1\/4, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 5, 18*g - p - 37 = 15*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 368*h + 1102. What is d(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7440 and 8.\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 1, n: 2, e: 1, l: 1, a: 1}. Give prob of picking 1 n and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 767?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdjdjjuqjejjjdyu. Give prob of picking 1 q, 2 u, and 1 d.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 + 18*n**2 - 112*n - 42. Does 15 divide p(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -116. What is the highest common factor of c and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 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: Suppose -75 = -0*x - 3*x. Suppose 4*y = -y + x. Solve 11 + y = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 9*d + 10. Let z be w(8). Let i be (3 - z)\/((-2)\/18). Is 3\/i + 58\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 2*m**3\/15 - 5*m**2 + 92*m\/5 - 211. Let w(t) = 0. What is t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + 2*w + 1. List the prime factors of f(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -143 - 5?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1160 (base 7) to base 11.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -o - 13, 0 = -2*z + 3*o - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -496.7020838 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(44) + (sqrt(1584) - sqrt(1584)*1))**2.\nAnswer: 12*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + (2 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**5\/90 - 7*t**4\/54 + 44*t**3\/27 - 89*t. Let f(d) = 0. Calculate d.\nAnswer: -11, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 526298738.\nAnswer: 4736688642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) -0.16 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 0*r**2 - 2*r**2)*(r - r - r)*(-3 + 1 + 5).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = -24*s + 81814. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.6. Let a = 66.16 - 69. Let u = a - 0.16. What is the nearest to u in p, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65808514 or -65808511?\nAnswer: -65808514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/((u**12\/u*u)\/u))\/u*u*u))**18 assuming u is positive.\nAnswer: u**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 16.47. Let v = -75.47 + m. Let z = 77.5 + v. What is the nearest to -6 in -4, z, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97332216 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 912*s - 917*s = 0. Solve -22*c - 51 + 139 = s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1070 and 655.\nAnswer: 140170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 4*b**3 + 0*b**3)*(-2 - 3 + 4) + (32 + 18*b - 32 + (-5 + 2 + 1)*(-3 - 2*b + 3))*(-2 + 2*b**2 + 2).\nAnswer: 41*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, -2, 0.3, 1.2 in ascending order.\nAnswer: -2, 0.12, 0.3, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8448611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*w**2 + 5\/2*w - 25\/4 = 0. Calculate w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -3*n + 5*b, -741 = 2*n + 16*b - 837 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97.39 + -97.39. What is the third smallest value in -2\/11, r, 2\/5, 0.2, 12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.12731 * -0.05.\nAnswer: 0.1563655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**3 - 7*w**2 + 7*w. Let o(x) = 3*x**3 + 3*x**2 - 4*x. Calculate -4*i(q) - 7*o(q).\nAnswer: -q**3 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 - 97. Let n = -14 + 46. Calculate the greatest common factor of s and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206774 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 2. Let w(o) = -10*o - 8. What is -2*p(k) + w(k)?\nAnswer: -8*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1271, 8984, 29669, 69800, 135851, 234296?\nAnswer: 371609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*sqrt(98)*6*-4 + (3*(1 + sqrt(50) + 1 + -4))**2.\nAnswer: -12*sqrt(2) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.7 less than -422294.9?\nAnswer: -422323.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4)*(-10)\/105*3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.73088 days in weeks?\nAnswer: 9.67584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-42))\/((-4)\/520). Which is bigger: o or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123707 divided by -4\nAnswer: 123707\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -27137145?\nAnswer: -27137141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649615062?\nAnswer: 2, 3, 719, 150583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103.883 + 0.117. Let l = 106 - z. What is the closest to -4 in -3, l, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 2:51 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27720 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1230*j - 16. Let f(o) = -4*o. Determine u(f(y)).\nAnswer: 4920*y - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*j - o + 47, -20 = -4*o. Suppose 14 = 4*f + 2*c, c - j = -0*f - 5*f. Solve -f*i - 5*n + 18 = 0, -3*i - 5 = -n + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187883, 187882, 187881, 187880, 187879, 187878?\nAnswer: 187877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 2285876.\nAnswer: 39\/2285876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 10:43 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(sqrt(75) + 2).\nAnswer: -30*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -3, -5, -2\/11, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 1328009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:05 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/15*((-50)\/(-15))\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -7*r**4\/12 - 11*r**3\/2 + 3*r**2 + 178*r + 4. Let p(s) = -9*s - 22. Calculate -5*b(d) + 8*p(d).\nAnswer: -2*d - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5859 and 182.\nAnswer: 152334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngvt when four letters picked without replacement from hvgnt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -974148955*x - 1 - 13*x**2 + 974148955*x.\nAnswer: -13*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10358 - -10359. Is m at most as big as -21\/676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688989 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c - 17. Let a be s(11). Suppose a*v - 178 = -33. Solve 4*f - 3*b = -v, b + b - 26 = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1923437 is divided by 384684?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z. Let u(c) = -2*c**2 + 845*c. Calculate u(d(t)).\nAnswer: -8*t**2 - 1690*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -343, -89, -68 in descending order.\nAnswer: 2, -68, -89, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/14 and 6 - -3*2010\/(-1008).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2272 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842849 is divided by 218.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k - 3*y - 12, 0 = -3*y - 12. Let t be ((-4)\/5)\/2*10. What is the second smallest value in -1\/2, t, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1242 and 4140.\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -230073 greater than or equal to -230073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 + -1011001111101?\nAnswer: -1011010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 290 and 6.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30960)\/(-2584))\/3 - 4. Let q = -668\/3553 - m. Which is the closest to -2\/37? (a) 0.1 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.8357854 hours?\nAnswer: 0.118157725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 865409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8240 is divided by 171.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.33 + -0.07. Let g = -0.4 - w. Which is the second smallest value? (a) 4 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**3 + o**2 + 6*o + 2. Let z(l) = -l**3 - l**2. Let q(p) = s(p) - 5*z(p). What is q(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - -84.09. Let t = -83.8 + v. What is the nearest to 43 in t, -0.3, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*x + 818*x = -11871 - 83259 for x.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 451.2102 minutes in nanoseconds?\nAnswer: 27072612000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 166 + 12782?\nAnswer: 12948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/11)*v*v*v**(-3\/2)*v*v**(-4)*v\/v**(-8)*(v*v\/(v\/v**(-4)))\/(v\/(v\/(v\/(v*v**(-6))))*v*v)*v**(-7)*v*v*v\/(v\/(v**(-2)\/v))*v*v assuming v is positive.\nAnswer: v**(-235\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10325724 is divided by 1650?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*k - 2318 = -0*n, -4*n = -2*k - 2330. Suppose -m - 3 = 2*m, -m = 2*l - n. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 + 111. Let z(g) = 23*g**2 - 4*g - 2. What is the tens digit of z(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12022300 + 1?\nAnswer: 12022301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 0*s**3 + 22*s**2 + 7526*s - 20 - 7509*s. Calculate u(-21).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -692*l + 1213 = -255 - 608. Solve -2*y = 6, -5*h - 1 = -l*y - 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/((-16)\/(192\/(-14)))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 36, -8, 0 in descending order.\nAnswer: 36, 4, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 70*j**3 - 456*j**2 - 648*j.\nAnswer: -2*j*(j + 2)*(j + 6)*(j + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/30 + i**3\/6 - i. Let c(l) be the second derivative of k(l). Let r(j) = -4*j**2 + j**2 + j**2. Calculate c(r(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**4\/22 - 2*g**3\/33 + g**2\/11 + 2*g\/11 - 1. Determine m so that s(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2 + 17738*c**4 + 23*c**5 - 17738*c**4 - 22*c wrt c.\nAnswer: 1380*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.0969 and 2.\nAnswer: 3.0969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1944 divide 22829161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-80)\/(-12) + 371\/(-588)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -7*x**2\/2 + 4*x + 20. List the prime factors of i(-13).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -6*m**3 - 368*m**2 - 5*m + 21 + 29*m + 329*m**2 = 0?\nAnswer: -7, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 10 - 7 - k**2 - 43*k + (k + 0*k + k)*(k + k - k) + 89*k**2 - 40*k**2 - 13*k**2.\nAnswer: 37*k**2 - 43*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 3*c**2 + 16*c + 86. Give h(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -192?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*h + 516*h**2 - 70*h + 141*h + 1174*h**2 to the form a*h + v + l*h**2 and give l.\nAnswer: 1690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 8, -2*v + 17 = -4*l + 1. Suppose -4*t = -5*g - v, g - 6 = -4*t + 2*t. Solve 1 - 4 = t*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46.6, 5, -11 in decreasing order.\nAnswer: 5, -11, -46.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/8 - 2987*l**2\/4 - 82460*l - 2297904.\nAnswer: -(l + 56)**2*(l + 5862)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17640 - -27053. Round l to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -27*n - 6. Let j(w) = -350*w - 77. Determine 77*b(v) - 6*j(v).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 27, -2, -9, 13 in increasing order.\nAnswer: -9, -2, 0, 2, 13, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-4)*(-12)\/(-9). Suppose l*d = 4*d + 6. Let a be (d*37)\/(3\/3). Round a to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142008\/12187 - 141\/1741. Factor 162\/7*x**2 + t + 27*x + 13\/7*x**4 + 66\/7*x**3 + 1\/7*x**5.\nAnswer: (x + 1)*(x + 3)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, n: 7}. What is prob of picking 2 e and 2 n?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 876 divide 133755420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 28 + (-42 - (-24 - 34)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 7*q - 4. Let y be h(-8). Let f be 3*-6 + (3 - 28\/4). Let i be (13 - 2)*(-4)\/f. Solve 0 = -i*t - y*u + u - 1, -4 = -4*t - 4*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 699.05 + -699. Let g = 3 + -2.9. Which is the second smallest value? (a) 2 (b) u (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20144069 - 7.136.\nAnswer: 20144061.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 8*t**2 - 675*t + 6282. What is c(9)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2353*z**3 - 36609*z + 2346*z**3 + 36609*z.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 249*q**2 + 242.\nAnswer: 498*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -69\/8*o**2 + 1\/8*o**3 - 1485\/8*o - 7047\/8.\nAnswer: (o - 87)*(o + 9)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 12*x - 7 + 0*x**2 + 0*x**2 - 8*x**2 + 7*x**2. What is u(-5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/8*(0 - 10). Which is greater: r or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86137 divided by -2?\nAnswer: 86137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-28))\/((-3425)\/(-1096))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 131159000 to the nearest 100000.\nAnswer: 131200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 20 = -16*w. Differentiate -17 + 9 - w*x - 5 with respect to x.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3531, 7035, 10539?\n\"Answer: 3504*k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2)\/6*(-15)\/10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20581, 20341, 20101, 19861, 19621, 19381?\nAnswer: 19141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 - 1287475367?\nAnswer: -1287474650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -b - y + 16, b - 9 = -5*y. Solve t = -c - 3, -8 = b*t - 4*c + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -3. What is the greatest common factor of 81 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09055004038 rounded to four decimal places?\nAnswer: 0.0906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 = g - 346, 0 = w - 5*g - 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148614?\nAnswer: 2, 574307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1393, -1320, -1247?\n\"Answer: 73*s - 1466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142*d**2 + 39*d.\nAnswer: 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 9:46 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**4\/12 + u**3\/3 - u**2\/2 + 4*u. Let c be a(-2). Does 3 divide c\/(-1) - 0 - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 165\/(-22))\/((-4)\/((-2000)\/30))?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h**4 - 21 - 10*h**4 + 7 + (-h**3 - 4*h**3 + 3*h**3)*(-h - h + 3*h) - 2*h**3 + 5*h**4 + 2*h**3 to r*h**3 + f*h + d + x*h**2 + s*h**4 and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -619 = -9*s + 254. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 - (-7)\/((-1960)\/(-217)). Which is the third biggest value? (a) y (b) 1\/2 (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anzvxvu. Give prob of picking 1 u and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 568798934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 minutes after 7:39 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 28*n - 2. Let h(y) = 645*y**2 + 7*y + 2. Determine h(m(z)).\nAnswer: 505680*z**2 - 72044*z + 2568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2623*z**3 + 4*z**2 - z - 2621*z**3 - 3 + 2 - 3*z**4 as y + x*z**4 + n*z**2 + f*z**3 + d*z and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1142, -2255, -3298, -4235, -5030, -5647?\n\"Answer: 6*j**3 - j**2 - 1152*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -437 (base 11) to base 4\nAnswer: -20030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5*24\/(-30))*18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-150)*5\/(0 - 1). Let -k + 8\/5*f - 6\/5*f**2 = 0. What is f?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2 = -2*h, 0 = -2*r - 0*r + 2*h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21739247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*z**4 - 7*z**3 - 81603*z**2 + 13585*z - 1723 wrt z.\nAnswer: 96*z**2 - 42*z - 163206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. Let t(r) = r**2 - 2*r. Let f be t(q). Suppose -15 = 3*w, -3*u + 28 = w - f*w. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 170 * 21.\nAnswer: 3570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 29 - 6*o**2 - 2*o in the form x*o**2 + c*o + q and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 740736093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqqnnddknnnnnndkq. What is prob of sequence nddk?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 354*w**2 - 23*w - 47. Is x(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -34\/3345263 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/12 + (-3)\/(-12). Suppose y*g - g = 0. Suppose g = -4*o + 3*o. Solve 5*x + 0*x = o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*d + 3, -2*d = 2*d. Let n be (4\/10)\/((-5)\/(-25)). Let p = t + n. What is the lowest common multiple of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**10\/560 + x**6\/180 - 14*x**3\/3 - 63. Let p(o) be the third derivative of g(o). Find the third derivative of p(m) wrt m.\nAnswer: -1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 23*y + 511. Let m be s(-16). Round m to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 955.0409 - 955. What is m rounded to 3 decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 12:26 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -40. Let p = 12.4 + f. Put p, 0.1, -0.3 in descending order.\nAnswer: p, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v + 2*v + 28*v + 7*v in the form a + i*v and give i.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26326859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from vjdxtxtd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7454 (base 12) to base 5\nAnswer: 401421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229.38 - 419.38. Which is the biggest value? (a) -0.08 (b) -3 (c) q (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + k + 2. Let r be j(2). What is the tens digit of (76 + 8)\/(r\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3496 and (-25 + -2)\/((-48)\/128)?\nAnswer: 31464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 79306\/7, 1\/6, -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49\/111 + -4\/37. Let t be 0 + (-2)\/(-3) + (-16)\/33. Which is the third biggest value? (a) t (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 0, -x + 4*x = -4*p + 378. What is the greatest common divisor of 84 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -18*o + 564. Determine d(30).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/182)\/((-31)\/806)*450\/330.\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-5) - 50011\/(-65) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 899.2548l?\nAnswer: 899254.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2334\/(-36) - 3\/18. Let z = -57 - y. Calculate the least common multiple of 11 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*c = 4, 2 = -3*n - c - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006636935 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 7 + -1 + -29 + 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 27 + 20)*(-4*o**5 + 3*o**5 + 0*o**5) - 3*o**5 + 57*o**5 - 13*o**5.\nAnswer: -5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 87143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11671.9246 rounded to the nearest 100?\nAnswer: -11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b447 (base 12) in base 6?\nAnswer: 3310531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 5*t, 9 + 0 = -5*k - 2*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 24*v**3 - 72*v**2 + 4*v + 2. Let f be r(3). Solve 21 = -3*b + 8*t - 3*t, -4*b - f = -2*t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1343602 + -3?\nAnswer: -1343605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 15 = -33*q + 35*q, 0*q + 3*t = 2*q + 7*t + 20 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -557, -548, -523, -476, -401, -292, -143?\n\"Answer: d**3 + 2*d**2 - 4*d - 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 36963 = -29*s. Let k = 4340 + s. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 6*t**2 - 6*t - 4. Let q be 10 + (2 - (-2 + 2)). Suppose 0 = d - 4, -5*m + d = 3*d + q. Calculate i(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4344469 to the nearest integer?\nAnswer: 2084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 249 - 93 = 3*s, 4*s - 209 = 3*q. Calculate the greatest common divisor of 160 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10127 - -30009905641.\nAnswer: 30009915768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*i**2 - 424*i + 288 = 0. What is i?\nAnswer: -36, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 319171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 823 - 822. What is the third biggest value in -0.5, -1, g, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 + -50. Let g = c - 21. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62345?\nAnswer: 5, 37, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -88, -2.\nAnswer: -88, -25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 687593 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*a - 3, 0 = 3*a + 4*r + 4 + 5. Let c = -23415 + 23422. Solve 8*m - a = c*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + 0.5. Let l = -6.6 + 6.7. Let y be 48*(-38)\/(-1368)*9\/8. What is the closest to y in s, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -184 - 195 + 372 - 122*j to the form s + d*j and give d.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -43. Let k = m + 133. Let i be (k\/(-12))\/(4\/(-6)). Solve -3*h - z - 12 = 0, -5*z - 8 - i = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/6 - 22729*l\/6.\nAnswer: -l*(l + 22729)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*v**2 - 339*v**2 + 103*v**2 + 76*v**2 + 106*v**2.\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 6*h**2 + 2. Let b be a(6). Let m be 134\/4 - b\/(-4). Suppose 0*n - 19 = -4*n + w, m = 4*n + 2*w. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1. Let d(l) = -l**2 + 11. Let v(y) = -2*d(y) + 14*k(y). Suppose v(n) = 0. Calculate n.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55227839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 40. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11152 and 38087688.\nAnswer: 1294981392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/33*(-99)\/132\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 + 4500*y**4\/7 - 14212*y**3\/7.\nAnswer: y**3*(y + 646)*(7*y - 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3348)\/(-90) + (-1)\/5.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - -11. Suppose -n + 4 = -5*m. What is the remainder when 17 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -437146, -437148, -437150, -437152, -437154?\nAnswer: -437156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**4)\/(p**(-5)\/p*p)*p*p*p**(-2)*p*p**(-10\/3) assuming p is positive.\nAnswer: p**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 2*o - 2*o**2 + 10*o - 12*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2, -17, -2, -4, -55 in increasing order.\nAnswer: -55, -17, -4, -2, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (117\/(-12) - -8) + 3\/(-12). Put 2, 18, y, -11 in ascending order.\nAnswer: -11, y, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41095139.19 rounded to the nearest one hundred thousand?\nAnswer: -41100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 188749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, -0.3, -3, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 29\/3 of a day?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 22952*h**2 - 15*h. Let w(q) = -22*q. Give i(w(m)).\nAnswer: 11108768*m**2 + 330*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -181805, -181860, -181929, -182018, -182133, -182280, -182465?\n\"Answer: -o**3 - o**2 - 45*o - 181758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -81*p - 10. Let v(b) = -82*b - 8. What is -2*v(g) + 3*w(g)?\nAnswer: -79*g - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6229, 25136, 56661, 100816, 157613, 227064, 309181?\n\"Answer: 2*q**3 + 6297*q**2 + 2*q - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1641067*d**3 + 8*d**2 + 142332319*d.\nAnswer: -9846402*d + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 times 944860\nAnswer: 1228318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-3)\/6 - 3. Sort 12, d, -1 in increasing order.\nAnswer: -1, d, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1641*o**2 - 19*o - 95. Is g(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 5*i + 5*i)*(-424*i - 370*i - 1469*i).\nAnswer: -6789*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 41*g**6\/30 + g**5\/30 - g**4\/8 - g**3\/6 + 5*g**2\/2 + 30*g. Let f(k) be the first derivative of t(k). Is f(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 280 - 418. Round m to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -357, -535, -711, -885, -1057?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 51. Let z = -47 + 37. Let x be l(z). Let b(p) = -19 - x + 40 - 9*p**2. Let c(n) = -4*n**2. What is b(c(v))?\nAnswer: -144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3\/4 + 18155*u**2\/4 - 54492*u + 163503 = 0.\nAnswer: -18167, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 20. Suppose -53*c + 1437 = 12 + 47. Calculate the remainder when c is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40979052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/(-52))\/5 - 2*(-115095)\/78. Sort 0.2, q, -0.5 in increasing order.\nAnswer: -0.5, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3 and -18603 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 262 and 12462?\nAnswer: 1632522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 6)*(-25*j + 25*j + 6*j**2 + (3*j - 3*j - 2*j**2)*(0 - 3 + 1) + 1 - 1 - j**2)*(0*j - j + 2*j).\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-3)\/9)\/(110\/(-396))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -0.5, -73, -2\/9, -5, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/3)\/(q*q**(-13)) assuming q is positive.\nAnswer: q**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 + 312. Suppose 2*z = -2*o + k, 2*z + 0*z = -5*o + 219. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013 (base 5) to base 13.\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 - 0) - (32 + -39)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 53599*s - 732*s - 4.\nAnswer: 52867*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011431222.\nAnswer: 2, 97, 5213563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 28420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9747905 rounded to the nearest ten thousand?\nAnswer: -9750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/17, -11, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2 (b) -0.14 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000680676 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/194470 and -21\/10.\nAnswer: 194470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 9 - 5*a + 5*a. Suppose i = -11 - 0. Is c(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmm when three letters picked without replacement from {a: 1, v: 4, b: 1, p: 3, q: 2, m: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 863, 862, 861, 860?\n\"Answer: -t + 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*((-198)\/75 - -3). Which is smaller: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - -61) + (8\/(-108) - 5714\/864).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-12 - (-10 + 16 + -2)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42, 3, -0.6, 5, 4, -2\/11?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13180*j**3 - 49*j**2 - 37513221*j.\nAnswer: 79080*j - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 6*m - 1. Let j = 21 + -17. Suppose 4*u - j = 5*u. Is a(u) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*a - 4, 0 = -4*r - a - 0 + 12. Suppose 4*j - 12 = r. Suppose -j*y + u = 9, -2*y + y + 4*u - 21 = 0. Is -4\/19 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + i + 1. Let m be 134*(-5)\/(-30)*-3. Let p = 66 + m. Let f(v) = -v - 1. Let x(o) = o - 4. Let l be x(3). Calculate l*k(z) + p*f(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w. Let b(f) = -2*f + 1. Let u(s) = -9*s + 5. Let g(o) = -5*b(o) + u(o). What is g(j(z))?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170950 and 15.\nAnswer: 512850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6 = -2*m, -w - 2*m = 3*m + 23. Suppose 92 - 606 = w*l. What is l rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475*u**3 + 233*u**3 + 241*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -247*g**2 + 538*g**2 + 500*g**2 + 522*g**2 in the form p + s*g + i*g**2 and give i.\nAnswer: 1313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d - 8. Let k be u(-7). Let f = k - -4. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -24*b**4 - 74*b**3 + 150*b**2 - 80*b - 14. Let z(l) = 5*l**4 + 15*l**3 - 30*l**2 + 16*l + 3. Let j(y) = -3*s(y) - 14*z(y). Find h such that j(h) = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1.218951\nAnswer: 2.437902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1268*m + 119357. Determine o(94).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 951782 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4815584.\nAnswer: 2, 61, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 638785 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1207\/16 - (-1 + 3 + (-12 - -8)). Is 78 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**2)**(-12\/11)\/(l**(-9)\/((((l**(-3)*l)\/l)\/l)\/l)))**(4\/7))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 123 or 1?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4610 = c, -106*c + 23092 = -101*c - 4*m. What are the prime factors of c?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 2 + sqrt(130)\/(sqrt(30)\/sqrt(3)))**2.\nAnswer: 20*sqrt(13) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 38 = 110. Let p(v) = -10*v - 5. Let t be p(g). Let b = -111 + t. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8610)\/861 + -2*((-48)\/(-2))\/3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 1, e: 2, d: 4, a: 2}. Give prob of picking 1 d and 1 e.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-26)*z*z\/z**(-15\/4) assuming z is positive.\nAnswer: z**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 76335100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.1. Let d = 2.9 + 0.1. Let f = -128 + 123. Which is the third smallest value? (a) f (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23072896 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -4.532\nAnswer: 1.8128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 3*x**2 - 6*x + 5. Let p be t(1). Solve p*b = 16 - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*r - 365 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:34 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.097079754 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + (-42)\/(-8))*-52. Let c = 166 + x. Suppose -4*q = -8*q + 5*s + 68, 0 = 4*s. Calculate the remainder when c is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from qkggjkqqkqg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 62 + (30 - 67).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**6)*b*(b*b\/b**(4\/7))\/b)\/((b**5*b)\/((((b*b**7)\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 3791868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-13 - (1 - -29)) + (2 + 1 - -2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428784?\nAnswer: 2, 3, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -6. What is the smallest common multiple of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116674 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 + -129. Suppose 2 = -2*g, -4*g - 33 = -n*t - g. Solve t = 4*k - 9*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 c, and 1 b when four letters picked without replacement from snccncnscbcccccncsc.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(-37 - 14).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -16. Let z be (-6)\/(-21) + 4\/(-14). Let i be 2*(z - 9\/t). Solve -g = -0*g + i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-4\/5)*c)\/c)\/c)**(-2\/29)*(c**(-14)*c)**(-32) assuming c is positive.\nAnswer: c**(60338\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -574635*h - 7470256. Calculate p(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/100 + -103\/300. What is the nearest to -0.2 in -2\/3, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55, -141, -347, -727, -1335, -2225, -3451?\n\"Answer: -9*k**3 - 6*k**2 - 5*k - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmbmmbmmmmmbbb. Give prob of picking 3 m.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -433 (base 7) to base 6.\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 2*o**3\/3 + 102*o + 1. Let a(x) be the first derivative of -x**2\/2 - 289. Calculate v(a(f)).\nAnswer: 2*f**2 + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9859693m in centimeters?\nAnswer: 98.59693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from npcvo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2298 + 2355. What is the remainder when 275 is divided by h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21670497 and 486.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 54*m**2 + 1. Let o(c) = 4*c. Calculate p(o(v)).\nAnswer: 864*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.175 + 2.175. What is the nearest to -1 in -2\/11, h, 1\/12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 58, 123, 240, 427, 702, 1083, 1588?\nAnswer: 2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Suppose -2*h = z - 8. Solve -4*y + 7*y + h = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -13 (b) -1\/6 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12538033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {h: 3, j: 3, y: 6, l: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37031.00015787 + 37031. What is t rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 450\/275*1280\/(-240)\nAnswer: -96\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -819 - -822. Solve -y*h - 2*h - 2*g + 35 = 0, h - 20 = -3*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 (base 13) in base 2?\nAnswer: -11110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -30, -1, 2, 1\/3 in descending order.\nAnswer: 2, 1\/3, -1, -30, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*r - 5221*r - 108480 = 0 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1101779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 65402833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 - 23*k - 51. Let t be d(-8). Solve b - 3 + t = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.8 + 20.3. Let k = -0.03 - -8.03. What is the third biggest value in 0.5, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 3. Let l(t) be the second derivative of t**4\/12 + t**2 - 3*t. Give -11*l(j) + 6*p(j).\nAnswer: j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420.6 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.28 (b) 0.5 (c) 4.4 (d) 0 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 69*a**2 + 360*a + 16. Is x(-19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-2 + 2 - 2)*(-7 + 7 + 13*h**2).\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 22 = -3*s + 2*f, 4*s - 40 = -4*f. What is the second biggest value in 0.1, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**4\/12 - 2*m**2. Let k(n) be the second derivative of -11*n**3\/2 + 2*n - 26. Calculate f(k(y)).\nAnswer: -66*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 4 (c) 0 (d) -5 (e) 3 (f) 926\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -428.04 + 428. Sort 0, m, 1, 0.1 in decreasing order.\nAnswer: 1, 0.1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3620*a**3 + a + 3740*a**3 - a - 887*a**3.\nAnswer: 6473*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 28*n**4\/5 - 1502437*n**3\/5 - 9820353*n**2\/5 - 3670659*n - 1448955 = 0.\nAnswer: -3, -15\/28, 53665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8089? (a) 0.1 (b) -1\/12 (c) 4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 22920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/6 - 6*i**3 + 63*i**2 - 90*i - 2025\/2 = 0 for i.\nAnswer: -3, 9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*r**3 + 4*r**2 - 3268*r.\nAnswer: 468*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 3:05 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*a = -30, 47*a = -2*p + 92*a - 44*a - 36 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -236.74 + 367.74. What is the third biggest value in -1\/7, z, 0.4, -0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 24 - 97. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236096917.\nAnswer: 7, 29, 1163039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1016864.\nAnswer: -406745.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 256*w**2 - 11*w - 29. Is m(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3 - 9. Suppose l = -c - f*c + 7, -2*c = l - 3. Suppose 0 = -5*n + c*v + 29 + 3, 15 = -5*v. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.142 and 9?\nAnswer: 28.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 5*u + 0 - 8 + 3*u - 4*u**3 - u**3 + 12. Let a(l) = 4*l**3 - l**2 + l - 3. Calculate 3*a(i) + 2*y(i).\nAnswer: 2*i**3 - i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((3*(sqrt(891) - 1*sqrt(891)) + sqrt(891) + sqrt(891) - sqrt(891))*-6 - (0 + (sqrt(891) + 0 + sqrt(891))*6))*-3)**2.\nAnswer: -2598156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*u = 35, -4*q - 2*u + 25 = -u. Suppose 0 = -q*j - 4*g + 130, 3*j - 4*g + g = 105. Let o = j - 32. What is the biggest value in 3, 2, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 2*w - 5. Let n be g(4). Suppose n*y = 3*f + 165, -2*f - 2*y + 3*y - 111 = 0. Let z = f + 95. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76271 (base 10) to base 12.\nAnswer: -3817b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 896 from -300939686.\nAnswer: -300940582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 21*u**2 - 25*u - 71. Let d be t(-22). Let y(j) = -j**3 - 6*j**2 - 4*j - 7. What is y(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7052*d**3 + 2656?\nAnswer: -21156*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Suppose -y + w = 1. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1955 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 503 + 511 - h**2 - 2*h**4 + 0*h**4 as n*h + f*h**2 + k*h**4 + w + x*h**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 913.554 months to decades.\nAnswer: 7.61295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7185.149ml to litres.\nAnswer: 7.185149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672476763 to the power of 1\/2, to the nearest integer?\nAnswer: 25932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 33592 = -132320. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3 + 0 - 4 + 3*y**2. Let k be a(-1). What is the lowest common multiple of 8 and (-6)\/((3 - k) + -3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4, -4*m = -5*h + 81 - 23. Let u = m - -13. Suppose 2*i + i = 2*c + 3, -4 = -4*i + 3*c. What is the remainder when u is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7 = 4*w. Calculate the remainder when w is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 20*d**2 + 5*d + 5. Let z be k(-2). Suppose 88 = -64*l + z*l. Calculate the lowest common multiple of l and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(88)*-4 + sqrt(88)))\/((sqrt(40) + sqrt(640))\/sqrt(5) + (sqrt(8) - sqrt(32)\/sqrt(4))*-2).\nAnswer: -27*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h - 4. Let l be s(6). Let a = -1 - 3. Let v(k) = -13*k - 2. Let u be v(a). Calculate the highest common divisor of u and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0, -13, 2, -5.\nAnswer: -13, -5, 0, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 10:25 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-9) + 1 + -3. Let w(n) = 3*n - 12. Let d be w(5). Solve -d*r - 2*r = t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.9 (b) 0.2 (c) -3 (d) -4 (e) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 74267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19074 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 986322.5 weeks in microseconds?\nAnswer: 596527848000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (-1*sqrt(136) + sqrt(136)))*1)\/(3*-2*sqrt(8)) + 2.\nAnswer: -sqrt(17)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + -1)*1\/1. Let z(m) = -m**2 - 7*m - 1. Let p be z(c). What is the units digit of p + 4 + (-2)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -170053282?\nAnswer: 170053276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 4*j + 26, 15 = -5*j + 2*d - 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 + ((-96)\/416)\/(2\/(-26)))*(-3)\/(-45)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 8*o**2 + 11*o + 6. Calculate z(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4830 (b) 5 (c) -195 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + k - k)*(2*k**3 - 50*k**2 + 76*k**2 - 40*k**2) as h*k**4 + z*k**2 + i*k + a + s*k**3 and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85) + 5*(sqrt(85)*-2 - sqrt(85) - sqrt(85)) + sqrt(85)))\/(sqrt(5) + 1*(sqrt(5) - sqrt(125))).\nAnswer: -19*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 - 304*v**3 + 2028*v**2 + 4952*v + 2624.\nAnswer: -4*(v - 8)*(v + 1)**2*(v + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdkk when four letters picked without replacement from vvvveedyvkkii?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010000 + 112?\nAnswer: 1010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 19.02. What is i rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeeeefeefeefefefe.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/12402 and -27\/610.\nAnswer: 3782610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 11*p**2. Let c = 168 + -166. Let a(s) = -12*s**2 + 0*s**c + 13*s**2. Give a(q(i)).\nAnswer: 121*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558\/(-114) + 5 - (-197483)\/209 is divided by 304?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280.07504 times 2?\nAnswer: -560.15008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3460, -3454, -3438, -3406, -3352, -3270, -3154, -2998?\nAnswer: -2796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-16)*-4 - (-3 + 2). Solve -2 = -u*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 229 and 8244.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0289 and -0.11?\nAnswer: 0.003179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 5*h - 2*h - 2*h + 9 + 3. Let c be r(8). Let x be (-3)\/(-6)*(8 - 2 - 0). Solve 0 = 4*u + 2*w + 2, -x = 4*u - 3*w + c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**4 + 577*s - 3 - 577*s + 0*s**4 + 33*s**2 to the form o*s + m*s**2 + t*s**4 + i + l*s**3 and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 2*h**3 + 4*h**2 + 3*h**2 - 5*h - 6. Let u be f(6). Let z = -193 - -198. Solve 4*i = z*s - 5, s + 15 = 4*i - u*s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*q + 16, 3*q + 4*x = q - 24. Let g = 2 - q. Factor 3*c**g - 2*c**4 + 4*c**3 + 0*c**3 + 6*c**2 + 4*c + 1.\nAnswer: (c + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 498*n - 14674. Determine f(30).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -15*x + 52. Suppose -7 = 2*y + 5*n - 43, -2*n = x. What is the greatest common factor of 322 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and -21 - -27 - (5 - (2 - 1)).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3096 less than 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 1.1, -345, -1\/7 in decreasing order.\nAnswer: 16, 1.1, -1\/7, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/25? (a) 5 (b) -0.106 (c) 0.2 (d) -2\/325 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49169.\nAnswer: 49169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(119)*-1 - sqrt(119))\/(sqrt(175) - 2*sqrt(175)))**2.\nAnswer: 272\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**6\/10 - 5*m**2\/2 + 3*m + 3. Let j(p) be the first derivative of c(p). Differentiate j(l) with respect to l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trurrtsrttturttrvs. Give prob of picking 1 s, 1 u, and 1 r.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {e: 5, j: 1, z: 4, m: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.6 and 4759.\nAnswer: 4754.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 118.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3686133?\nAnswer: 3, 11, 19, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(4*(-5)\/(-80)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77788018?\nAnswer: 2, 7, 11, 505117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 25421123 to the power of 1\/2, to the nearest integer?\nAnswer: 5042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13441 or 13442?\nAnswer: 13441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57623 is divided by 4780.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*m - 0. Let q(l) = -m*l + 0*l + 2*l. Let g(v) be the first derivative of -4*v**3\/3 - 1. What is g(q(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200520, 801980, 1804410, 3207810?\nAnswer: 5012180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.418. Let x = u - 0.039. What is x rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340395138.\nAnswer: 2, 3, 43, 439787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51804188*d**2 - 3*d - 249760 wrt d?\nAnswer: 103608376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -26. Let n = 71 + s. Let w = n + -71. Which is the second biggest value? (a) 0.5 (b) -3 (c) w (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 25. Let g = t - -31. Let n be (5\/(-20))\/(3\/(11*-12)). Calculate the highest common divisor of n and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 22.9.\nAnswer: -114.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2662917782 to the nearest integer?\nAnswer: 51603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -334\/95375 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**4 + 6*w**4 - 3*w**4 + (3*w**2 + 2*w**2 - 3*w**2)*(-w + 2*w**2 + w) + 0*w**4 + 2*w**4 - 3*w**4 + (-w**3 - 2 + 2)*(2*w - 1 + 1) - w**4 - w + w.\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -34*z + 413. Determine a(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 12) in base 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 - -89. Calculate the remainder when 109 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*s**2 + s**4 + 0*s**4 + 4*s**3 + 1318*s + 1306*s - 2619*s to the form w + c*s**2 + f*s + l*s**3 + u*s**4 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -119, -113810 in decreasing order.\nAnswer: -2, -119, -113810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ce29d8a - -5?\nAnswer: ce29d8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-8))\/(((-36)\/48)\/3). Which is the closest to 0.1? (a) 2\/11 (b) 0.1 (c) v (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27407?\nAnswer: 27407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m - 27. Let u(y) = 7*y + 4. Let k be u(1). Let p be x(k). What is the third derivative of 5*d**3 - 6*d**2 + 6*d + 0*d**3 - p*d wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 14*q - 18. What is w(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 287739 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 43*m**3 - 8*m**2 - 97*m - 2. Let f(s) = -130*s**3 + 26*s**2 + 291*s + 7. Let x(n) = 7*b(n) + 2*f(n). What is the third derivative of x(c) wrt c?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 7*q. Let f(w) be the third derivative of -w**5\/60 - w**4\/8 - w**2. Let k(z) = -9*f(z) - 4*t(z). Factor k(a).\nAnswer: a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k + 3*k**2 - 5*k)*(-54 + 64 - 238 - 298).\nAnswer: -1578*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(88) + sqrt(88) - sqrt(88))*-4)\/sqrt(8).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7975.27 rounded to the nearest ten?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9 = 24. Suppose 0 = 2*l - 2*i - 120, 0 = -2*i + 5*i + 6. Suppose -154 = -a*v - 0*v - f, 2*v + 4*f = l. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (265\/106)\/(15\/138).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 12:01 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-1 + 0 - -2). Let k be 3\/4 + z + -1. Let x = -7.78 + 7.88. Which is the second smallest value? (a) k (b) 0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11123321 (base 4) to base 10\nAnswer: -22265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((4\/(-12))\/((-1)\/3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/27)\/(1\/6). Suppose 9 = -2*q - 5*d, 5*d + 24 = 2*q + q. Suppose h - q = -2. What is the closest to h in 0.2, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 9*o**2 + 13*o - 15. Let p be a(10). Suppose 0 = 5*c - p - 25. Let l = -5 + c. Solve -2*f = f + l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r - 255 - 84 + 1 = 1102 for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -8) + -5 + 2 + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 363\/278?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - ((-62 - -42 - 19) + -63)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, 277, 1262, 3259, 6604, 11633?\nAnswer: 18682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**4 - 30*c**3 + 292*c**2 - 189*c - 512. Let l(y) = 6*y**4 - 181*y**3 + 1750*y**2 - 1135*y - 3072. Let r(x) = 6*l(x) - 34*u(x). Factor r(d).\nAnswer: 2*(d - 16)**2*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 11. Put l, 0, 3 in descending order.\nAnswer: 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - 8) + (-18 - -6). Let k = 33 + -36. Sort -4, k, n, 3.\nAnswer: n, -4, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 20067?\nAnswer: -20080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 810 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 231\/63 + 1\/3. Solve -4*c + 2*i = i + q, 0 = -5*c - 4*i + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 1. Let d(s) = s**2 - 5*s. Let a be d(g). What is the closest to -2\/7 in a, -3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2224 = -4*h - 4*d + 132, 2*d + 586 = h. Calculate the remainder when h is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 29*s - 27. Give o(29).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*j**2*n + j*n**3 + j*n**2 + 21*n**3 wrt j?\nAnswer: -12*j*n + n**3 + n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9*g - 2*g - 3*g - 7*g.\nAnswer: -21*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - o - 89 = 0, 2*m + 2*m - 5*o = 67. Calculate the remainder when 123 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -338 + 167 - 9512*b + 171 as g*b + k and give g.\nAnswer: -9512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10221110002 (base 3) to base 4.\nAnswer: 102330200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 6. What is the second biggest value in 2, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 - (54 - 63) - -73.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 6*w = -10. Let x be (-9)\/(-6)*(0 + (w - -56)). Is (x + 3)*31 - 5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -191272261\/8 > -23909032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -99564*o + 1991286. What is n(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 622805584 a multiple of 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 6802?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -756*u + 1863. List the prime factors of k(-23).\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -0.1 (b) -0.4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 2 + -1)*(2 + -1). Suppose 3*n + 2 - 5 = i, 5 = -2*o + 5*n. Solve o = l - 6 + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**6\/10 - u**3\/3 + 4*u + 3. Let j(i) be the first derivative of w(i). Find the second derivative of j(c) wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -12*k**3 + 2*k**2 - 14*k + 41. Is x(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30737?\nAnswer: 7, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u**2 + 324*u**2 - 331*u**2 + 518*u**2.\nAnswer: 537*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 13452363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18128 + 12856 = 8*r. Suppose 5*u = 2*y - r, -9*y + u = -6*y - 5842. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0, -2\/101, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*v - 468*v = -2*x - 13, 73*x = 2*v - 371 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13338 and 31616.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 10210201020012?\nAnswer: 10210201020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 29*r - 5. Let o(n) = 58*n - 8. Give 3*o(x) - 5*q(x).\nAnswer: 29*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 24. Calculate o(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-3 - 2) - -5. Suppose -4*l + b*l + 20 = 0. Let u(j) = -j + 1. Calculate the lowest common multiple of l and u(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 81. Let j = i - 11. Let r be j\/(-12)*(2 + -6). Solve r*g - 8 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29903?\nAnswer: 17, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + -1.98. Let i = -15 - -16. Which is the closest to i? (a) q (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/13870 and -23\/11.\nAnswer: 152570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.8447 - 100013305?\nAnswer: -100013290.1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -5. Suppose 5*x + 168 = 4*p + x, -5*x = k*p - 141. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*d - 25, -4*j = 4*d - 48 + 8. Suppose 729 = d*q + 74. Does 28 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.4 - -28. Let u = -345.8 - -338. Let c = n + u. Which is smaller: c or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/6 - 25\/12. Let x be 6\/(-9) - 2\/(-3). Is x less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/263 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174 and 31749.\nAnswer: 1841442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - i = 6. Suppose f = -3*f + 12. Is (i\/(-3))\/(f\/207) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -2, -154, 3 in descending order.\nAnswer: 3, -2, -18, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3495 + 3534. What is the third biggest value in 1\/3, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*m - 6*m = -2666, -2*x = -4*m + 1328. Let s = x + 669. Put -17, s, -11 in increasing order.\nAnswer: -17, -11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9339572 plus 2.7?\nAnswer: -9339569.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, a: 6, e: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m. Let k(s) = -2*s + 11. Give k(w(h)).\nAnswer: 8*h + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 382316\/14 + 140\/(-490). Suppose -61*j - z + 124420 = 0. List the prime factors of j.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22429660 to the power of 1\/2, to the nearest integer?\nAnswer: 4736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f + f)*(-f**4 + 0 + 0)*(30 - 21 + 40).\nAnswer: -98*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 514, 1902, 4230, 7540, 11874, 17274?\n\"Answer: 7*f**3 + 428*f**2 + 55*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 34*w - 21. Let c be q(2). Let h = 53 - 18. Let v = c - h. 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: Four letters picked without replacement from {a: 2, f: 4, s: 3, x: 4, z: 3, l: 2}. What is prob of picking 2 s, 1 a, and 1 f?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1434663352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*o + 3*i + 7, 4*o = -i + 101. Suppose -2*m + o = -4*q, 0 = -2*q - 5 - 1. Solve t = m*t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -422329*f**3*g**3 + 11*f**3*g**2*z + 20*f**2*g - 11*f**2 + 3*f*g**3 - f*g**2 + 30*f*z wrt f.\nAnswer: -2533974*g**3 + 66*g**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82344655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 11:35 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -157, -318, -491, -676?\n\"Answer: -6*d**2 - 143*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 2. Let p = -52 + x. Let h = -42.9999902 - p. Round h to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/216 and -19\/32976?\nAnswer: 98928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 10 + 10)*(-1 + 2 + 0 + (2 - 3 - 3)*(-12 - 20 - 13)).\nAnswer: 724*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/9)\/p**(-1\/2))\/(p**(-2\/7)*p)**37)\/((p\/(p**(-1\/3)\/p)*p)**(-22)\/(p**1*p*p)**(-10)) assuming p is positive.\nAnswer: p**(2137\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 5*z - 4. Let g be w(-4). List the prime factors of (-3)\/((-1)\/4 - g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -120*m - 3. Let h = -279 + 189. Let k = 89 + h. What is the units digit of g(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631901?\nAnswer: 631901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*q*s**3*t**2 + 21*q*s**2*t**2 - 6*s**3 + 10*s**2*t**2 - 3*t**2 with respect to q.\nAnswer: -19*s**3*t**2 + 21*s**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - g = 5, -33 = -5*r - 2*g + 20. Let a be 3\/9*r\/(-12). Is -2 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -452 + -5?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4526 - -2.4526. What is the nearest to 0.3 in f, -89, 4, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0)\/(1\/2). Let p be 1\/f*(10 - 6). Let w be (6 - 8)*p\/(-4). Which is smaller: w or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-1 + (-9 - -5) - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c**2 + 18*c**2 + 46*c**2 - 4192*c + 2*c**2.\nAnswer: 92*c**2 - 4192*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.2, -5, 0.7, 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2585.095 decades?\nAnswer: 25850.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*a + 4*o, -5*a + 6*o - 15 = o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, 5, -2 in descending order.\nAnswer: 5, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 + 293115*f\/2 + 2784773.\nAnswer: -(f - 293134)*(f + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 7:39 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -185, -1141, -3629, -8417, -16273, -27965, -44261, -65929?\n\"Answer: -128*i**3 + 2*i**2 - 66*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -31. Let t be -2 - (u + (1 - 11)). Solve -2*a - 7 = t*a - 4*w, -3*a - 5*w = -18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 3*b - b - b. Let z(h) = 1 + 14*h + 13*h - 20*h. What is 5*n(a) + 3*z(a)?\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437927284 + 437929444 = 180*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5 = u - 3, -2 = 4*x + u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122 + -119. Solve j*b + 1 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**3\/5 - 3*n**2\/5 + 2*n + 24\/5 = 0.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-15))\/(23*23\/1587)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -106. Suppose 5*t = 3*f + f - 43, 3*f - t = 24. Let y(b) = b + 7. Calculate the remainder when l is divided by y(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*c - 654 = 17*c - 23*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from yefysfffr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -2*g - 5*w, 8*g - 3*g - 315 = -3*w. Suppose a + 13 = 5*q - 131, -5*q - a = -156. What is the greatest common divisor of g and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.034 + 0.566. Let o = j + -3.6. Which is the nearest to -1\/3? (a) -5 (b) 1\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 8*v**2 + 10*v - 1. Let m = -7526 - -7534. Calculate the lowest common multiple of m and h(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128 - (4 + 174)) + -79.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 8867*i**2\/3 + 955430*i\/3 - 7076464\/3.\nAnswer: (i - 8758)*(i - 101)*(i - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25218, 26365, 28264, 30909, 34294?\n\"Answer: -j**3 + 382*j**2 + 8*j + 24829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -219 - -217. Let t be f\/2*(2 - 32\/14). Is 11 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 20. Suppose 2*f - 2*z = -2*f, o*f + 4*z = 20. Let l be (-4 - (2 + -52))\/f. Calculate the highest common factor of 69 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 3*m + 20 - 12 to u*m + x and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17040 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/3215 + 128591\/9645. Let h = 149\/66 - 33713\/462. Let q = 71 + h. Is w greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.835511 rounded to 2 decimal places?\nAnswer: 7.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662937.\nAnswer: 3, 11, 20089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9697.97 + 9603. Let q = 96 + c. Let r = q - 1.13. What is the third smallest value in r, -9, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tottottottt. What is prob of picking 2 o?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 15774 = 15819, 108 = -4*u - 12*x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 1\/4*k**4 + 11*k**2 + 45\/4*k**3 + 0 + 0*k = 0.\nAnswer: -44, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286238 is divided by 143113?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 9, z: 1}. Give prob of picking 1 j and 1 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 417*k + 5250. Calculate y(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740080565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1758328*t. Let k(c) = -3*c**2. What is u(k(q))?\nAnswer: -5274984*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*p - 9. Let l(m) = m + 0*m + 2*m**p + 2*m - m**2. Let u be l(-3). Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 21*c = -3337 + 3521 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 578.\nAnswer: 2\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 1:16 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3424 - 4133032?\nAnswer: -4124103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1 - 32) + (-9 - (2 - 11))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - (16 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.057 + -0.133. Let x = z + 1.1. Sort x, -2, -5.\nAnswer: -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000108083 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j\/((j\/(j**(4\/7)\/j))\/j))\/j)\/(j\/(j**(-8\/9)\/j))*(j**(-2\/7)*j)**(1\/57))**(-2\/59) assuming j is positive.\nAnswer: j**(3124\/70623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 726.8 - 726.8. What is the nearest to -2.4 in d, 2\/7, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-674*n**2 + 12 + 663*n**2 + 2)*(5 - 4 + 3) as b*n + g*n**2 + k and give k.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 955, 952, 949, 946?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w + 33. Let d(u) = u + 12. Let j(o) = o + 5. Let x(i) = 2*d(i) - 6*j(i). Let l be x(w). What is the highest common divisor of 19 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (197 + -191 - (-1 + -1) - 58) + 3?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from {k: 2, p: 1, j: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttg when three letters picked without replacement from {g: 3, x: 1, o: 3, n: 4, t: 2, v: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6a5 (base 15) to base 10\nAnswer: -1505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -395 divided by 144\nAnswer: -395\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.41 + 7.49. What is the nearest to x in -1, 0.9, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8076 - 8072. Which is the third smallest value? (a) v (b) 2 (c) 505\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (49 - 62) + -34 - -9\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q = 9*q + 2*j - 28, 2*q - 4*j = -26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + -1. Let s = 15 - a. Let d = s + -3. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-98)\/(-4) - 1\/2. Let p = 7 + -7. Suppose -2*c + 12 = -p*c. What is the greatest common divisor of g and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107633065 - 107633062.49999932. Let b = 224.5 - 222. Let d = c - b. Round d to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1216) + -3)*4 - (2 + 2 + sqrt(19) + sqrt(19))*-2)**2.\nAnswer: -288*sqrt(19) + 24640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.2 (c) 18 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.13 and 0.0986.\nAnswer: -0.111418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.05, 0.6, 550?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -84, -101, -134, -189, -272, -389, -546?\nAnswer: -749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*n - 1 + 16*n - 60*n)*(-n + n - 2*n**2).\nAnswer: 52*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2085257 to the power of 1\/2, to the nearest integer?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 - 104. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29a245 (base 11) to base 14\nAnswer: -c250c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 1272.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 4. Let u = 10 + -6. Let r be w(u). Let h be (-2)\/(-6)*(3 + 0). Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/14 (b) 0.4 (c) -2 (d) 6 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42647 + 10 + -2 + -8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/9, 1\/5, 125 in ascending order.\nAnswer: -1, -1\/9, 1\/5, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 + 5 + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 2:31 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-6186.\nAnswer: 129906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 84*s. Let d be k(3). Let l be 15\/5 + 4 + (-9)\/(-3). Suppose -l*b + d = -6*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l + 3*o = 39*l, 2*l + o = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u - 78. Let x(j) = -17*j - 388. Give 11*f(g) - 2*x(g).\nAnswer: g - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2682 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 264\/7093 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -79600 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.567122 grams to micrograms.\nAnswer: 9567122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + (-88)\/28)*-2. Sort 3\/2, x, 6\/11, -0.3 in descending order.\nAnswer: 3\/2, 6\/11, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -15. Let c = -32.6 + 212.6. Let a = -179.9 + c. Put -2, a, 1, n in decreasing order.\nAnswer: 1, a, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18830 divided by -5.\nAnswer: -3766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 336*t**5 + 2*t**3 - 250*t**2 - 2*t?\nAnswer: 20160*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p. Let v(d) = 196*d + 1934. Calculate w(v(b)).\nAnswer: 588*b + 5802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 265 + 181 = 0. Put 0, -18, i in increasing order.\nAnswer: -18, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 18 (b) 157 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -4*p - t, -61*t + 58*t + 79 = p. Calculate the remainder when p is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, -303 in descending order.\nAnswer: -5, -11, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -15*k**3 - 33*k**2 - 3*k - 1. Let s(p) = -7*p**3 - 16*p**2 - 2*p. Let y(a) = -6*n(a) + 13*s(a). Let d be y(-9). Put d, 1, 4 in ascending order.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + l. Let g be (-8)\/(-2) - l - -10516. Is (-1)\/(-3) + g\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/(2\/20). Let h = -82 - -81. Sort 3, h, v.\nAnswer: h, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -13*i + 455. Suppose -5*y + 74 = i*r - 38*r, 0 = 4*y - r - 55. Let p(o) = -o + 13. Calculate p(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 723106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + 0.88. Let p = 11316 - 11315. Put p, t, -1\/2, 4 in decreasing order.\nAnswer: 4, p, t, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*(-3)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1273.1 - -1281.1. Suppose 0 = -5*y - 4*o - 19, -4*o - 3 = -4*y - 11. Which is bigger: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 6*m + 7. Let a be h(5). Let f be (a\/(-9))\/((-3)\/(-9)). Let z(l) = -l**2 - 6*l - 6. Calculate the remainder when 3 is divided by z(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 13*l**3 + 10*l**2 - 18*l + 6. Let k(x) = -x**3 + 2*x**2 + 3*x - 1. What is 6*k(a) + t(a)?\nAnswer: 7*a**3 + 22*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*u**3 + 2 - 34 + 33 - 8*u + 4*u to the form k*u**3 + m*u**2 + p + d*u and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1820 and -41\/1638?\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 32*o + 21. Let i be d(15). Put 2, i, 4 in increasing order.\nAnswer: i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -268\/9 + 274\/9. Let t be 6\/(-8)*8\/(-14). Which is the nearest to 2? (a) 0.1 (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1795*t**2 - 3844*t - 1758*t**2 + 1323*t + 1261*t + 1260*t.\nAnswer: 37*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1)\/(0 - 5\/(-1)) + (14793 - 14795)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 16*f**3 + 14*f**2.\nAnswer: 2*f**2*(f - 7)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 12:21 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/18)\/(2\/(-8)). Let x(p) = -p**3 + 5*p**2 - 7*p + 6. Let f be x(5). Let y = 29 + f. Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = -2*s + 240, 3*s = -5*l + 359. Suppose -3*a = 103 - s. Solve -19 = a*x - 2*u, -4*x + 4*u = -0*u + 20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + f = -70, 0*v + v - 3*f = 34. Are v and 22 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1232274 < -1232273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -12\/5*f**2 - 2\/15*f**4 - 16\/15 - 14\/15*f**3 - 8\/3*f = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*l + 2 + 19, 0 = -5*j - 2*l + 23. Let o be j - 0\/(25\/5). Solve o*i + a - 5 = -0*a, -3*i - 4*a - 14 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -5676, -2, -5, -12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 100\/500*-3*(-4)\/6\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 62*q - 875. Calculate the remainder when 85 is divided by c(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -1 + sqrt(539))**2 + sqrt(539) + -1 + sqrt(33)\/sqrt(3) + 5 + (sqrt(11)*2 + sqrt(11))**2 + -2.\nAnswer: -20*sqrt(11) + 2258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3ab9e3 (base 15) to base 2\nAnswer: -1010110001011000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 24 = -5*j - 0*c, j - 298 + 364 = -4*c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010000111 (base 2) in base 11?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1788 - 15 = 0. Let z = 860 - w. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315) + (sqrt(315) - sqrt(315)*-1))\/sqrt(5) + -3*sqrt(63)*3.\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:43 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 18 - 62. Let y be (-3 - (-2)\/(-4))*r\/(-14). Suppose s - y*s + 5*g + 80 = 0, -2*g = -5*s + 127. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:34 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107151 divided by -6.\nAnswer: 35717\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csi when three letters picked without replacement from {s: 1, x: 4, e: 2, i: 4, c: 2, j: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 402503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1475517 to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.00188603 and -1323.\nAnswer: -1322.99811397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16591 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 4*u + 3 + 2*u + 2. Let o be j(5). Suppose -2*g + 6 = -o*g. Put 1, g, -5 in decreasing order.\nAnswer: g, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2))\/18*8\/4\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -576993 (base 12) in base 3?\nAnswer: -2122011221010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 75 = -2*y, -5*d - 2*y - 141 = -10*d. Suppose 32*i - d*i - 55 = 0. Calculate the remainder when 64 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152285*k + 76000*k + 76168*k.\nAnswer: -117*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-5)\/95)*(-7)\/21*(-6)\/1.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857*y**3 + 505*y**3 + 713*y**3.\nAnswer: 2075*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 27*z**2 - 79*z - 179. What is d(-24)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 1\/105*l**6 - 1\/42*l**4 + 42*l - 1\/70*l**5 + 0*l**3 + 0*l**2 + 1\/147*l**7 + 0. Factor i(m).\nAnswer: 2*m**2*(m - 1)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33979272, 67958549, 101937826, 135917103?\n\"Answer: 33979277*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 41*u**2 - 40*u**2 - 37 + 22*u + 17 as i*u**2 + k + s*u and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 8 (c) 0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5 + 2439*h**4 + 4874*h**3.\nAnswer: h**3*(h + 2)*(h + 2437)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4 - 3 - 1 + 5 - 1416*c**2 + 102*c**3 - 448*c**2 - 939*c**3 + c wrt c?\nAnswer: 48*c - 5022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1270004 or -1270003?\nAnswer: -1270003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2 + 996*s + 3015 = 0.\nAnswer: -3, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5418.13 rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, -160, -387, -728, -1195?\n\"Answer: -2*b**3 - 39*b**2 + 6*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-60)\/8))\/(980\/(-483) - -2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*c + 16 = -6*c, -12 = -i + 3*c. Suppose -6*f + 11*f + 150 = i. What is the units digit of 18\/f + 436\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a + 12. Suppose 2*g + a = 5. Calculate the smallest common multiple of (-266)\/(-42) - 4\/3 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 75, 86, 91, 84, 59, 10, -69?\n\"Answer: -c**3 + 3*c**2 + 9*c + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 - (-11)\/((-55)\/(-375)) is divided by (20\/(-6))\/((-9 - -21)\/(-216))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -270.6324 to 1 decimal place.\nAnswer: -270.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*s**4 + 4*s**6 + 57*s**2 + 7*s**4 - 3*s**6 wrt s?\nAnswer: 120*s**3 + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*k**2 + 0*k**2 + k**2)*(-4 + 5 + 5) + (-2 + k + 2)*(-2*k - 3 + 3))*(-k**2 + 1 - 1).\nAnswer: -22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44109*h**5 + 98323*h**4 - 60832*h**3\/3 + 404*h**2\/3 = 0. Calculate h.\nAnswer: 0, 101\/14703, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**7\/630 - s**5\/40 - s**4\/8 + s**2. Let y(i) be the second derivative of d(i). What is the first derivative of y(p) wrt p?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-260)\/(-13) + -49 + 56?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 235*h - 5084. Calculate o(-26).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8030, 8334, 8832, 9518, 10386, 11430?\nAnswer: 12644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24\/1511 or -1?\nAnswer: 24\/1511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 297 times 1.573977\nAnswer: 467.471169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7.36. Let y = a + 0.04. Let i = y + -0.384. Round i to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 17 - 30 + 23 + d**2 + 8*d. Let f be w(-7). What is the third derivative of 0*m**2 + 2*m**f + 8*m**3 - 2*m**2 - m**2 wrt m?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 0*c - 4*c)*(8*c**4 + 144000*c**2 - 142717*c**2 - 6*c**4).\nAnswer: -2*c**5 - 1283*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Suppose -5*l + 11 = -4. Let n(v) be the second derivative of 0 + 1\/3*v**l + 0*v**2 + 2*v. Give n(b(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 1, 0, -5\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -49*w - 1141. Calculate the remainder when 549 is divided by t(-25).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = v, i + 2*v = -0*i. Suppose 0 = -3*x + 15, -5*y + x + 11 = -y. What is the highest common factor of y and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2802, 7, -7, -6, 0 in ascending order.\nAnswer: -2802, -7, -6, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 + 87. Let y(o) = -3*o - 16. Let m(b) = -b**3 - 5*b**2 + b - 3. Let d be m(-5). Calculate the remainder when l is divided by y(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*v + 34 = 6, 2*q = 5*v - 32. Calculate the remainder when 80 is divided by (-9)\/q*2 - -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3*u = 21 - 24, 27 = 4*t - 3*u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.4 and 26.19.\nAnswer: -298.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2766 divide 113400468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 12, 4248 in ascending order.\nAnswer: -5, -3, 12, 4248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138 - 573 = w + 568, 0 = 3*p + 3*w - 42 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237*c**6*v + 358*c**4*v**3 + 8*c**2*v**2 + 2*c**2 + 2*c - 46*v**3 wrt c.\nAnswer: 28440*c**3*v + 8592*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -183*j + 4. Let i(a) = -726*a + 15. Calculate 4*i(p) - 15*u(p).\nAnswer: -159*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h**2 - 1. Let n(o) = -o**3 - 26*o**2 - 6*o. Let j(i) = -4*m(i) - n(i). Calculate j(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by -1505?\nAnswer: 17\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -13089473.75 to the nearest one hundred thousand.\nAnswer: -13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 1:26 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -34*i - 13. Let n be l(-1). Suppose -49*w + 9380 = -n*w. What is w rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 280 divided by 932907\nAnswer: 280\/932907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8\/15 + -2\/5. Let y = 0 + 2. Which is the biggest value? (a) y (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -824 - 5931 = -7*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355570063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgg when three letters picked without replacement from {g: 16, s: 4}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 302474309*c**2*h*q**2 - 143*c**2*q + 2*c*h*q + 232*c*h - 2*c*q**2 - 2*c*q + c + 2*h*q + 2*h wrt q.\nAnswer: 604948618*c**2*h - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*b**5 + 16*b**2 - 260*b + 1?\nAnswer: -200*b**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*p + 28350 = -135*p for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 198, 246, 260, 240?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5569.821ml in litres?\nAnswer: 5.569821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*l**2\/2 + 700*l - 5000 = 0.\nAnswer: 100\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/22 + (-2191)\/(-11) is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*c + 35188 = 0, -4*v + 70322 = -36*c + 39*c. What are the prime factors of v?\nAnswer: 5, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k - 4*u + 19, -5*k = 3*u - 27. Suppose -2*o - 77 = -15. Let t = 33 + o. Calculate the greatest common divisor of k and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 916 and 0.04.\nAnswer: 36.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1386 - c**2 - c - 1146 - 7540 + c**3 + 2*c. Let y be a(0). What is y rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsss. What is prob of picking 2 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2. Let p(v) = 4*v - 5. What is p(c(o))?\nAnswer: 16*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1014343 (base 8) to base 5.\nAnswer: 32043030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*g - 86, -3*q - 21*g + 123 = -24*g. Solve 13 = 26*i - q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*l + 13*l + 40*l + (44 - 22*l - 44)*(1 - 1 - 1))*(-1 + 0 + 0).\nAnswer: -57*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 202 - 13?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.17*1\nAnswer: -1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 4*k + 5*r, 5*k = 2*r + 7 + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -103.44 times -3757\nAnswer: 388624.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42201415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -43, -54, -57?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b - 409. Give w(-48).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*4\/(-10)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 252 = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 995 is divided by 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -66. Let p be 6 - 1*(i - -4)\/(-4). Solve -p + 1 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 15866 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -27. Let w be 4\/d + 44\/10. Suppose 11*p - 7 - 48 = 0. Which is smaller: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -481\/4750 + -1\/250. What is the third smallest value in s, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away 4.2?\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -9. Suppose -r*m + 2044 = 3*m. Suppose 28 = 5*o - m. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -889\/2328 + 2\/291. Which is the second biggest value? (a) w (b) -15\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 305*f**2 + 176 wrt f.\nAnswer: 610*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21033326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let f(d) = -83*d - 3. Let i(a) = f(a) - j(a). Is i(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32535 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243422469 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, z: 2}. What is prob of picking 4 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17812, -17678, -17316, -16612, -15452, -13722, -11308?\nAnswer: -8096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*y - 8*y - 14520 - 8548 = -205*y for y.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45032 and 53716?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 572799 and 19049.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 99 = -5*y - 40, 0 = -5*r - y + 617. What is the remainder when r is divided by 51?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (10 - (-6 - -12) - 12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(153) - sqrt(153)) + -2 + 6*sqrt(153)*5)**2 + 4.\nAnswer: -360*sqrt(17) + 137708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, x: 8, d: 8}. What is prob of picking 2 d?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b7bc (base 14) to base 12.\nAnswer: -16436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 - -11)*1*-1. Solve a*v - 4*v = -8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2 = -3*u - 1, 0 = 3*f + 5*u + 16. Let r = 3 + f. Calculate the remainder when r is divided by (-12*(-6)\/96)\/((-2)\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from eeeeeeelleeeeeeleeee.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-215544)\/(-420) - (0 - 2)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxagwxwxongwo. What is prob of sequence na?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0 (c) -5 (d) 1 (e) -0.52 (f) 3\/7 (g) -4\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c - 10. What is the remainder when 40 is divided by s(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2976*o*z**5 + 266*o*z**2 + 1835917*o*z wrt z?\nAnswer: -59520*o*z**3 + 532*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27376 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 12*x + 16. What is m(10)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*x + 179*x - 143*x - 89*x - 54*x.\nAnswer: -237*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 9802965.\nAnswer: 88226685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12*h**3 - 4*h**2 + 4*h - 1. Let c be a(3). Suppose -94 + c = 5*r. Suppose 4*l = r + 51. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145 divided by 145\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -4, -0.3, -0.168?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 - h - 68 + 43)*(-h + 0*h + 5*h).\nAnswer: -4*h**2 - 512*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3168 and 10428.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 8*r**2 - 10*r + 12. Let p be j(9). Suppose p*y = 5*y - 44. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993812 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 7.03. Let v = c + 0.03. Let h = v - -1. What is the nearest to h in -2, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59863 = 196*s - 65155 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 580 - 875 = -267. Suppose 3*w + 129 = 4*r, 0*r = -r - 4*w + 18. What is the lowest common multiple of r and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017c8 (base 15) in base 4?\nAnswer: 11310002300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2661.\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(500) - (sqrt(500) + -2))**2*2 - ((sqrt(45) + (sqrt(45) - (1 + sqrt(45))))*3 - sqrt(45))**2)*-3*-4*6.\nAnswer: -52128 + 10368*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - 3*w - 5*w - 4*w**2 + 4*w - 2. Let b be k(-3). Let y = -6 - -1. What is the second biggest value in -1\/4, y, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 21 = -4*o, 5*w = -4*o + o + 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 252463250*a**3*n**2 + a**3 + 57168898*n wrt n.\nAnswer: 504926500*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 10*g**2 - 57*g + 35. Calculate v(15).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 68*c**2 - 6*c - 6. Let a(v) = -3264*v**2 + 289*v + 289. What is 6*a(r) + 289*z(r)?\nAnswer: 68*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124*p**3*w**3 + 11*p**3 + 2*p*w**2 - 3*w wrt w.\nAnswer: -744*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -2\/2659 in increasing order.\nAnswer: -2\/2659, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 39 + 6. Calculate the remainder when 24 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177495?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + -4 - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4596\/(-42130)*((-3)\/1)\/18*-100?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/21 of a week?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -259, 105, 7.\nAnswer: -259, 7, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -388\/7 - -98968\/1785. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 22 = -15*f. Suppose 0 = 8*i + f*i - 110. Calculate the remainder when 41 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z + 0*z - 2*z + (-z + 2*z - 3*z)*(-2 - 4 + 4) + z + z - z + 0*z - 2*z + 4*z - 4 + z + 2 + 5*z in the form n*z + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 99 = w, 18 = -199*w + 202*w + 2*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132538 - -662704\/5. Factor 4\/5*l + 0 - b*l**2.\nAnswer: -2*l*(7*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60652 is divided by 1680?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 74 + 0)\/(-1). Let g = -53 - a. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4755 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/(-4))*4077\/(-12080)*-200\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-80)*6)\/((-474)\/(-395))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-8))\/((-30)\/16*22\/99). Put -5\/2, 7, 0.24, u in increasing order.\nAnswer: -5\/2, 0.24, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -13807, 4 in increasing order.\nAnswer: -13807, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 - -84.7. Let z = q - 0.7. Let d = 0.4 - 3.4. What is the smallest value in 0, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -g - 220. Let n(o) = -o**3 + o + 19. What is the remainder when g is divided by n(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 189*s**2 - 578*s + 439. Calculate m(192).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, 3, -99 in descending order.\nAnswer: 3, -4, -8, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-3) + 18\/12)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 379.2 - 320. Let p = l + -59. Let z = -7 + 2. Which is the closest to -1\/4? (a) p (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 10) to base 4\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 12 - 18 = 0. Let t(g) = g**2 + 7*g + 8. Let y be t(z). Is (35 - 2) + y\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**2*u**(4\/5)\/u)\/((u\/(u\/u**(-1\/3)))\/u)**26)**(-38))**(-15) assuming u is positive.\nAnswer: u**20786","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26926, -107775, -242508, -431119, -673602, -969951, -1320160, -1724223?\nAnswer: -2182134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*96\nAnswer: 134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 866 and -0.8.\nAnswer: -692.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 - 6*a + (-1 - 3 + 2)*(82*a + 100*a - 227*a) in the form o + t*a and give t.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -p + 28. Calculate the remainder when 97 is divided by p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 5:05 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 46. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*(0*u**4 - u**4 + 7*u**4)*((-3 + 4 - 2)*(0 + 5 - 4) + 7 - 10 - 18).\nAnswer: -132*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + -29. Let z = j - -52.9953. What is z rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 6 = 6. Suppose w = 8*y - 45967 - 19209. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-16))\/(-32*54\/(-5760)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -25 + 27. Sort 1, -1, -3, x in increasing order.\nAnswer: -3, x, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861096419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -28c10c?\nAnswer: -28c104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + q - 4. Calculate g(7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0491992 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + e560e?\nAnswer: e560e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -11\/12*n**4 + 0 + 0*n**5 - 11*n + 0*n**3 - 7\/30*n**6 + 0*n**2. What is the third derivative of g(b) wrt b?\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.54 + 0.46. Let t = 42.882 - h. Round t to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*d - 3096*d**2 + 52*d**6 + 20*d + 1551*d**2 + 3*d**5 + 1551*d**2 - d**5 wrt d.\nAnswer: 6240*d**3 + 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16006\/3 + 5334. Which is the third biggest value? (a) 3\/4 (b) 3 (c) x (d) 4 (e) -10443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42853*l**2 - 21429*l**2 + 9 - 21446*l**2 to the form b*l**2 + f*l + s and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a**5 + 1490*a**4 + 8580*a**3 - 24170*a**2 - 42435*a - 11160 = 0. Calculate a.\nAnswer: -93, -8, -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 9 - 35 - (-10 + (4 - -7) + -7)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 15*n + 15. Let g be m(-14). Let h = -1 + g. Let s be 132\/9 + h + 1\/3. What is the highest common divisor of 10 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - (-8 - -15)) - (-15 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23311875 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 3*r. Let f(m) = 26*m**2 - 66*m. Let q(t) = -2*f(t) + 44*o(t). Let u(a) = -133*a**2. Give u(q(i)).\nAnswer: -8512*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 5 - 5)*(0*w - 3*w + w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 7:39 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 12:08 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32a - -6?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112159392.\nAnswer: 2, 3, 1168327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -812233777\/4 or -203058443?\nAnswer: -812233777\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.8749 and 23.\nAnswer: 32.8749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82.76 - -81. Let d = u - -0.82. What is d rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27e7 (base 16) in base 4?\nAnswer: 2133213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-21) - 1\/(-3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 4\/58225411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 6*b - b)*(-4*b**2 + 4*b**2 + b**4)*(-62 + 27 + 0).\nAnswer: 70*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -455 by -6.\nAnswer: 455\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - j - 28 = 0, 77224*a + 2*j + 5 = 77220*a + 21 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77 - -3) + -5197 + 5216.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2018 + 27115. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109 - -109. Let u(x) = -x - 5. Determine u(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.598467 to two decimal places.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1028769.\nAnswer: 3, 7, 48989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 11*h**2 + 10*h + 8. Let v be g(12). Let n = 25 + v. Sort -5, n, 2 in descending order.\nAnswer: n, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from nnnnnnnjnjnnn?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sidedeiedo. What is prob of sequence dded?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6*u = -2*u - 584, 0 = -4*m + 5*u + 1220. Suppose 1352 = 4*z - m. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7015231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 - -92.5. What is the nearest to 1 in 1, 3, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g\/g**(-4\/11)*g)\/(g*g*g*g\/(g*g*g**(2\/7))*g)**(-13\/5) assuming g is positive.\nAnswer: g**(2857\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 29, 10, -29, -88, -167?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*(-18)\/312*8\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 28) + (-2 - -10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17963410 to the power of 1\/2, to the nearest integer?\nAnswer: 4238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (606*d - 3*d**2 - 605*d - 2*d**2 - 11)*(4 + 2 - 4 + (0 + 0 - 3)*(5 - 2 - 4)) in the form o + v*d**2 + i*d and give o.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253440 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 + -172. Suppose 3065 = u*p - 939. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*w)*(2 + 6 - 2) + (0 + 0 - 2)*(-1 + 3*w + 1) to f*w + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 295476*t**4 + 2*t**2 + 113*t - 26 wrt t.\nAnswer: 7091424*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 79360372144+0.05\nAnswer: 79360372144.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + 2*z - 80. What is s(0)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -215.7.\nAnswer: 431.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5274, -5275, -5276, -5277, -5278, -5279?\nAnswer: -5280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4*x*x**(-2\/7)*(x\/(x**(-4\/3)\/x))\/(x\/x**9) assuming x is positive.\nAnswer: x**(337\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 w when three letters picked without replacement from zmwzzmm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -3. Calculate the remainder when 14 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 4:27 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 2*r**4 + 7*r**3\/6 + 19*r**2. Find the first derivative of o(t) wrt t.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -1 + 2, 2*n + 100 = 4*d. Let u(q) = q**3 + 12*q**2 + 12*q - 10. Let y be u(-10). Let l = y + n. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-15 + 50)) + 12.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703288.467us to weeks.\nAnswer: 0.0000011628446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-18)\/6)*1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -736573 = -186*d + 336275. Calculate the highest common divisor of d and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 30*n. Is 10 a factor of m(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10878\/147609 + (3\/(-12))\/((-11)\/(-4)). Is d at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 402, -2, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 s, and 2 z when four letters picked without replacement from fffskhffzbsfs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 2*q + 1 - 9. Let a be r(7). Suppose a = 2*f + 2*f. Sort f, 1, -1 in decreasing order.\nAnswer: f, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 not equal to 518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 15 = r. Suppose -4*q - 20 = g + q, r*q = 2*g + 1. Let w(c) = -c**3 - 5*c**2 - c - 2. What are the prime factors of w(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from iiznnzznznzzznz?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*w - 103. Let y = -21 + w. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219555 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -3.5, -1\/3?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-1*-1 + ((1 + sqrt(847) + sqrt(7) - sqrt(7))**2 - sqrt(7) - sqrt(7)).\nAnswer: 21*sqrt(7) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(24)\/(sqrt(12)\/sqrt(4))) + 2.\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 120 = -2*a. Suppose -4*n + 299 = -5*g, 164*n + 137 = 166*n - 5*g. What is the remainder when n is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*p - 260*p - 258*p + 780*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62\/207 + -12\/23. Is -0.3 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1005 divided by 3\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -8*y**6\/3 - 132*y**2 + 164*y. What is the derivative of p(x) wrt x?\nAnswer: -320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxjxexmmuxxecxm. What is prob of picking 1 j, 1 x, 1 u, and 1 e?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 5, -5, 1308, 1, 63 in decreasing order.\nAnswer: 1308, 63, 5, 1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 - 4*t + 5. Let s(n) = 6*n**2 - 5*n + 6. Suppose 3*z - 44 = -11. Suppose 0 = -11*b + z + 55. Let d(i) = b*s(i) - 5*h(i). Calculate d(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-8) + (-3)\/(-12). Suppose 4*n - 22 = -2*i, 0 = -n + 2*n + i - z. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**2 - 4*d - 7. Let r(k) = -24*k**2 + 9*k + 179. Let u(l) = 40*l**2 - 15*l - 306. Let y(a) = 12*r(a) + 7*u(a). Determine 3*x(m) + 4*y(m).\nAnswer: -8*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 - -2.9. Let n = 0.4 + -0.5. Which is the nearest to k? (a) n (b) 0.5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -112301300?\nAnswer: 112301301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3983776.\nAnswer: 2, 124493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 160 - -9?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*y**3 - 13548*y**2 - 2316992*y\/3 - 38299904\/3.\nAnswer: -2*(y + 178)*(9*y + 328)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + 7157087?\nAnswer: 7157110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421811959?\nAnswer: 1163, 362693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s. Suppose -4*z - 3*y + 2 = -3, s = -y - 5. Suppose -3*k = t - 1 - z, 3*k + 3 = 0. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z + 8 = 28*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.1. Let v = 10.99281 + 0.00719. Which is the smallest value? (a) v (b) -0.6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2791a - 2?\nAnswer: 27918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441616707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65922268 divided by -86.\nAnswer: -766538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1\/23, -12?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17920726 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - 18. Let g be 2960\/u + (-6)\/33. Let a = 76 + g. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 18 = -103 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003698365652 to 7 dps.\nAnswer: 0.0036984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18610\/4599 + 32\/657. Find the common denominator of z and ((284\/(-42))\/1)\/(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 41*k**2 - 2255*k + 50112. Give f(64).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/28 + 75\/(-1100).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48398039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 14*t = -16. Let k(u) = 16*u**3 - 2*u**2 - 7. Is k(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1398 + 8019 = 3*l. Suppose -l = -7*k + 2826. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -118. Let y = -87 + m. What is the biggest value in 2\/5, -3\/7, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 12*h**2 - 19*h - 33. Let o(y) = 13*y**2 - 64*y + 5. Let d be o(5). Give b(d).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 17. Let p(u) = 3*u + 4*u**2 - 3 - 4*u**2 + 6 - 4*u**2. Let b(n) = n**2 + n + 1. Let m(f) = 4*b(f) - p(f). Determine m(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010100100111011001 (base 2) to base 13\nAnswer: -246513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 + 0 = -2*k, 3*h - k - 5 = 0. Which is smaller: h or -6\/23?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56815? (a) 0 (b) 1\/2 (c) -0.45 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*t*v**4*x - t*v**3 - 13*t*v**2 - 10*t*v*x - 2*t*v - 2*v**4*x wrt v?\nAnswer: -2016*t*v*x - 6*t - 48*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (6*(sqrt(117) - ((-1*sqrt(117)*-1 - sqrt(117)) + sqrt(117) - sqrt(117))) - ((0 + sqrt(117))*-4 + -3)))**2*2 + 3.\nAnswer: 840*sqrt(13) + 23501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87420 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:46 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from mgmzzzmzzmmmzmm?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*p - 172*p - 100 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, n: 4, d: 1, b: 4, c: 1, y: 1}. What is prob of sequence nwbn?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-200201 + 2)*(-14)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273700 and 5236?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r - 2. Let t(c) = 1. Determine -a(s) - 3*t(s).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftfutfft. Give prob of sequence ft.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(933\/318 - 3). Let y = -286\/35 - p. Which is the second biggest value? (a) 3\/17 (b) -0.3 (c) 0.2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 + 2*g**5 - 3*g**5 + (-2 + 1 - 1)*(-2 + 6 + 0)*(-g**5 - 2*g**5 + 5*g**5).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206103150?\nAnswer: 2, 5, 421, 104803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269, 268, 267, 266, 265?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618352293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2 - 4*z - 5. Let c(k) = k**3 - k**2 + k + 1. Give -5*c(s) - j(s).\nAnswer: -5*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27\/2 + 13. Let f = 8 - 19. Is y > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*p + 348 = 0, 8*p = 4*p + 8. Let s = b + -85. Solve -1 = q, -6*f - 2 = -s*f + 2*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - g + 6. Let a be s(0). Let l be (-2)\/a + 845\/924. Let z = l + -3\/308. What is the second biggest value in z, 1\/7, -6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 a when three letters picked without replacement from {f: 4, i: 1, k: 1, c: 4, n: 2, a: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*i - 24 = 114*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 3. What is p(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 288, 3.\nAnswer: -2, 0, 3, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/88 and 69\/64.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/(-18) + -4)*165\/22?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 6\/15*1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/7 - 13152*t**2\/7 + 43361901*t\/7 - 776258802\/7.\nAnswer: (t - 6567)**2*(t - 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46 + -6346?\nAnswer: -6392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161*v**6 - 18*v**5 + 400*v**2 + 16*v**5 + 2267*v**2 + 55*v**6 wrt v?\nAnswer: 25920*v**3 - 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -484134*g**3 - 122643 with respect to g.\nAnswer: -1452402*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 417 = 4*n + 446, 3*n - 2*s = 30 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 341, 663, 959, 1229, 1473, 1691, 1883?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*t + 15. Let w = t - -2. Which is smaller: w or 2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1776464 and 240.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**5\/7 - 10700*v**4\/7 - 10692*v**3\/7 + 10700*v**2\/7 + 1528*v = 0.\nAnswer: -2674, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289764331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 4*b**2 + 3*b - 8. Let f be g(-6). Let o = 195 - f. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4959, 9355, 13749, 18141, 22531, 26919, 31305?\nAnswer: 35689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3285 is divided by 1637?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006370837139 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - t = -0*t + 18, 5*t = 4*h - 26. Let o be (-1 - 1)*(-20)\/(-8). Let d(n) = n**3 + 4*n**2 - n - 4. Let k be d(-4). Sort k, o, h in increasing order.\nAnswer: o, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1058484 and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 12) to base 16.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 1\/8*n**4 + 0*n - 5*n**2 + 0 - 1\/6*n**3. What is o(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -4\/7, -0.3, 0.01422?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -119*u + 4. Let b = 9 + -3. Let l be w(b). Round l to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*v + 44 = 0, 2*j + 52 = 6*j + 4*v. Sort j, -3, -5 in increasing order.\nAnswer: -5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16904446.2ms to days.\nAnswer: 0.1956533125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20773*y**3 - 6618*y**3 - 7165*y**3 - 6986*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251016696.\nAnswer: 2, 19, 1889, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/9*(-3)\/(-14). Solve 4\/7*x**3 - 4\/7*x**2 + a - 2\/7*x**5 + 2\/7*x**4 - 2\/7*x = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142586436.04 + 142586319.039999244. Let p = -117 - w. What is p rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00147496153 to 7 dps.\nAnswer: -0.001475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*c - 24 - 83, k = -5*c - 163. Let g be (-7 + (-944)\/(-48))*(-6)\/4. Let h = g - c. Is h != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14.9, 0.0425, 6.\nAnswer: 0.0425, 6, 14.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 23004910.\nAnswer: 920196.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10543 * -19.369.\nAnswer: 204207.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2803 = -5*v, 0 = -0*v - 3*v + 2*f + 1683. Solve 567*h - 8 = v*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710 divided by -95?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -120374358255 + 167\nAnswer: -120374358088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22419)\/(-954) + -2 + -20.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*m + 36 = 0. Let g(v) = 2*v - m + 8*v**3 + 8 - 3*v**3. Determine g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28463 and 399547.99.\nAnswer: 371084.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*sqrt(27) - (0 + sqrt(300))*-3.\nAnswer: 1 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -13 - (-1 + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11470, -20068, -28664, -37258, -45850?\nAnswer: -54440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 36. Let a = -21 + 56. Suppose -a = 4*n + 17. Let k be x(n). Solve -k*l - 2*l + 2*r + 9 = 0, r = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -660*a**3*g**2 - 2556*a**3 + 28660*a**2*g**2 + 5*a**2 + 1 wrt a?\nAnswer: -3960*g**2 - 15336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4551?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56681 is divided by 2263?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((-25 - -90) + -180)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 7*m - 600. Suppose 32 = i + 2*i + 4*s, 0 = 5*i + 2*s - 58. What is the highest common divisor of m and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.7198 minutes in seconds?\nAnswer: 47323.188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 32288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 786899688*o + 351973882?\nAnswer: 786899688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, -5, -9.\nAnswer: -21, -9, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.9? (a) -59 (b) 1\/3 (c) 3 (d) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 1) + 56\/2. Let n = d + -17. Suppose -4*j + 56 = -4*i - 0, 5*j + 2*i - 98 = 0. Calculate the highest common factor of n and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2944772, 5889536, 8834296, 11779052, 14723804, 17668552?\n\"Answer: -2*v**2 + 2944770*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 553 or 543?\nAnswer: 543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 4 = -5*c - 3*n, 2*n + 14 = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 5*z + 0*z)*(-4 + 0 + 3 + (-2 + 0 + 1)*(3 - 3 + 3))*(5 - 3 - 3)*(-13 + 13 + 6*z).\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**5\/20 + 7*n**4\/12 + 3*n**3\/2 - 11*n**2\/2 - 78*n + 77. Let l(r) be the first derivative of y(r). Determine l(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.17 - -0.2. Let w = y + 1. Let v = 0.0236 - w. Round v to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 1. Let x(l) = -4*l + 2. Suppose -5*f + 5*i = 45, 0 = 5*f + i + 7 + 20. Let z(w) = f*r(w) + 5*x(w). What is z(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/819)\/(9\/18 + 5\/14)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 1\/7, 2\/237, -0.2, 2\/3, -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - 3*sqrt(170)*-2) + sqrt(170))\/((-2*sqrt(80))\/sqrt(8)))**2 - (sqrt(153)\/(sqrt(576) - 3*sqrt(576)) + 1).\nAnswer: sqrt(17)\/16 + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1801*(-2 + -3 + 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*8*(-1)\/3\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdadndgidaad. Give prob of sequence daaa.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (527\/408 - (((-14)\/(-4))\/7 + 1))*-2?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oso when three letters picked without replacement from {k: 1, a: 1, t: 1, o: 2, s: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0)*-1*-2. Let c be 5 + -2 + (j - 2). Let q be -1 + -2 - 6\/c. Solve 7 = -2*h + q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7395\/(-290)*162\/(-153)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1925 = -6*o + 22*o - 51*o for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 3\/19, 3 in ascending order.\nAnswer: 3\/19, 0.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2017697380.\nAnswer: 2, 5, 100884869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30133\/63 + 479. Find the common denominator of 137\/72 and d.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + (-104680)\/156)*3\/(-4). Let d = 507 - w. Which is greater: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240349, -240351, -240353, -240355, -240357, -240359?\nAnswer: -240361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -1, 0.3, -13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1649, 2053, 2645, 3413, 4345, 5429, 6653, 8005?\nAnswer: 9473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - i**2 - 5*i. Let l be p(3). Let d(c) = -3 + 3*c**3 - 2*c**3 - 3*c**l. Let h(w) = w**3 + 2. Suppose 5*b = -7 - 3. Determine b*d(t) - 3*h(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -751 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-297)\/(-18))\/((-6)\/(-8)). Let u = b - 19. Find the second derivative of -u*x**5 - 3*x + 623 - 623 wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4 - 14*j**2 + 1 + 13 + 6*j + 5*j**3 - 4*j**3. Suppose -9*d = -8*d - 13. Let s be y(d). What is s rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/(-10)*65\/26)\/(12\/6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.5 (b) -1 (c) -15.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (20 + 8 + -53).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -215 + 15. Let v = 199.6 + h. Let t = 1 + -1.2. Which is the closest to 1? (a) 1\/4 (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.91 - 305.09. Let o = 48157.8597957 - 47851.85981. Let i = z + o. What is i rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 - (-6 - (-77445)\/12900)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6 = 2*l - 3*l, -3*y + 3*l = 0. Let w be y\/(-7) - (-19)\/7. Sort 128, -2, w in descending order.\nAnswer: 128, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*j - 170 = 7*j, 0 = -2*r - 3*j + 85. Suppose -37*y = -r*y. Sort y, -2, -48.\nAnswer: -48, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(275) + (sqrt(275) - (-1*sqrt(275) - sqrt(275))) + sqrt(275))**2.\nAnswer: 27500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 325 divided by -2\nAnswer: -325\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 76*w**3 - w**2 + w - 1. Let s = 33 - 32. Does 25 divide i(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55424.31 litres to millilitres.\nAnswer: 55424310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 14. Let f(j) = -10*j**2 + 5*j. Let z(r) = 5*r**2 - 3*r + 1. Let x(q) = -6*f(q) - 11*z(q). Let y(u) = 2*u**2 + u - 4. Calculate b*y(c) - 3*x(c).\nAnswer: c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2190219.26 and 3.141732.\nAnswer: 2190222.401732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3022175899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -b7?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 168*c**2 - 174*c**2 + 402*c - 60*c**3 + 62*c**3 to m*c**3 + o*c + x + s*c**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w - 4*w**2 - 8*w - 2*w**2 + 1 - 1 + (0 + w + 0)*(-3*w + 5*w - w) to the form k + y*w**2 + s*w and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -11205961 in decreasing order.\nAnswer: 4, 2, -11205961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/35 - (1948\/252 + -7).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011111010100 (base 2) to base 8.\nAnswer: 13724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.635254ml?\nAnswer: 0.003635254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-264)\/2 - 1 - 1. Let k be m\/(-4) + (-4)\/(-8). Suppose 3*w - k = w. Calculate the remainder when w is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4 + -3.7. Let i be (0 - (1 + -2))*-5. Let g(t) = -2*t - 5. Let s be g(i). What is the closest to -1 in k, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5350 - -7538?\nAnswer: 13888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 313, 429, 555, 697, 861?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/336*((-10)\/(-3))\/2*666\/(-185)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/21 + (-2)\/(-14). Let x = 1636 - 1631. Solve -v*h = -n - 1, -3*n = 3*h - n - x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2, -45\/4, -1\/2, 2\/3, 2265.8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - y + 7. Let o = 417 + -403. Let h be 6*(-7)\/o*1. Determine s(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25243\/76 - -1329\/4. Let u = 92 + -90. Suppose -4\/19*l - 2\/19*l**5 + 2\/19*l**4 + 0 + 6\/19*l**3 - d*l**u = 0. What is l?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 9:24 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + sqrt(99)*-2 + 5*(3 + sqrt(99)) + -3)**2.\nAnswer: 360*sqrt(11) + 1291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106 and 1378.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.92472 minutes to milliseconds.\nAnswer: 5035483.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, d: 3, q: 2, t: 2, g: 1, s: 4}. Give prob of sequence qsd.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kld when three letters picked without replacement from {u: 3, m: 4, l: 2, k: 1, d: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -189 + 188.98. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343, 343, 341, 337, 331?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4614136, -9228275, -13842418, -18456571, -23070740, -27684931, -32299150?\n\"Answer: -z**3 + 4*z**2 - 4614144*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z**4 + 7*z**4 - 4*z**5 + (-2*z + 2*z + 2*z)*(3*z**4 + 3*z**4 + 0*z**4) - 4*z**4 + 2*z**5 + 4*z**4.\nAnswer: 10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 - (-4755)\/12. Suppose -m + j = 3*m. Calculate the greatest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -59. Let m = s + -28. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 7:17 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -13, 0.0133, -238?\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.3124 to 1 dp.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16096 (base 12) to base 14.\nAnswer: b53c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a113b - -3?\nAnswer: -a1138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3072 and 1536?\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1244, -3632, -7132, -11744?\n\"Answer: -556*z**2 - 720*z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/v*(v*v**5)\/v)**(2\/39) assuming v is positive.\nAnswer: v**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2095600 and 107\/520?\nAnswer: 2095600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1680)\/45*39\/(-91). Solve 4*d + 8 = w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, -0.4, 10, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.45138\nAnswer: -1.80552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4959?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -452.80318 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 806 = 3*l, 0 = -4*l + 4*s + 144 + 928. Let v = l - 61. Calculate the remainder when v is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from unununnnunniu.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 6003?\nAnswer: -78039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9120782*v**2 + 10863546*v?\nAnswer: 18241564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6589*v + 4885. Let d(u) = -16473*u - 12225. Let m(z) = -5*d(z) - 12*h(z). What is the derivative of m(g) wrt g?\nAnswer: 3297","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 714.0031nm?\nAnswer: 0.00007140031","meta":{"dup_signals":{},"source":"measurement__conversion_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: Let o(h) = -6*h**3 + 2*h**2 - 2*h + 1. Let a be o(1). Let d = 12 - 6. Let z = d + a. Calculate the greatest common divisor of 3 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1972*x**3 + 54*x. Let b(i) = -394*i**3 - 10*i. Calculate -16*b(y) - 3*r(y).\nAnswer: 388*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0471? (a) 59 (b) -5 (c) 1\/7 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 12 + -5 + -1. What is the nearest to -0.1 in -4, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1100000?\nAnswer: -1100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 113 = 89. Which is the second biggest value? (a) i (b) 3\/4 (c) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1181 + -1268. Which is bigger: -33 or w?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00096789619 to 5 dps.\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/4 and -85\/23711956.\nAnswer: 23711956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13538, 13001, 12450, 11879, 11282, 10653?\n\"Answer: -f**3 - f**2 - 527*f + 14067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2. Let r(x) = -x. Let p(k) = k. Let u(l) = -5*p(l) - 4*r(l). Determine u(t(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (23052\/(-7458))\/(4\/88)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246530, 492933, 739342, 985757, 1232178?\nAnswer: 1478605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*x**2 + 15 - 42*x + 0*x**2 + 17*x - 5*x - 18 as b*x + y*x**2 + n and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9072) - -2*(sqrt(9072) + 1))**2 + sqrt(7)*-3 + -5 + sqrt(7) + (sqrt(7)*-3*-1)**2.\nAnswer: 430*sqrt(7) + 81710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*-1 + (17 - 6) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 579, 599, 605, 591, 551, 479?\n\"Answer: -z**3 - z**2 + 30*z + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-9) + (-3)\/9. Suppose -14 = d - 3*r, k*d - 6 = -0*r - 3*r. Let z = 2 + d. Does -2 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 25*b = 498316. Does 148 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 48?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 3, 0, -15 in ascending order.\nAnswer: -15, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 5*z + 6 + (-3*z - 6*z - 7*z)*(-3 + 0 + 1) - z + 5 - 3 + 0*z to d + l*z and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, -12.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4760*n + 1 + 2396*n + 551*n - 1 as u + m*n and give m.\nAnswer: 7707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 - ((-56)\/7 - -8). Solve 0 - 1\/6*y**5 + 0*y + u*y**3 + 0*y**2 + 1\/3*y**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*-478 - 8. Suppose -3*g = -66 - 33. What is the highest common factor of g and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7500 divided by -2500\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -263067709 plus -239.1?\nAnswer: -263067948.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 5*s**2 + 92*s - 576. Determine r(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 6*s + 11. Let f be p(6). Let l = -8 + f. Suppose -l*v + 91 = -227. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/192 and 109\/384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 4517, 67 in decreasing order.\nAnswer: 4517, 67, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 divided by -4?\nAnswer: -217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/181855788 and 99\/8?\nAnswer: 363711576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 3:04 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)*6)\/(-2*sqrt(72) - sqrt(8)).\nAnswer: -18*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138113 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 3, 2 in decreasing order.\nAnswer: 3, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3. Let z(j) = -j + 2. Let h(d) = 4*r(d) + 6*z(d). Let n(t) be the third derivative of -t**4\/12 + 81*t**2. Calculate n(h(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25143531672 and -0.14409.\nAnswer: -25143531672.14409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 x when four letters picked without replacement from xjuxxjxxuxxuhxxx.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3563423 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = -11*i + 66 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2636*m + 61985 + 45741 = -870*m for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) + (-1)\/2. Suppose -o - 2*o - 3 = f. Let s be (1 - 0)\/(-3)*1. Which is smaller: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2. Let s(u) = -u**2 + 6*u - 6. Let b(t) = -4*t**3 + t + 1. Let z be b(-1). Let o be s(z). Let w(d) = -2*d**2 + d**o - d**2. Calculate w(l(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 262103 bigger than 262101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 283, 642, 1143, 1786, 2571?\nAnswer: 3498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 32092759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - 4. Let m be x(3). Suppose -3*o - 24 = -5*g, 2*g - 4*g = m*o. Let a = o - -14. What is the remainder when 21 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*((2475\/77)\/(-9))\/1\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -1. Let q = -354 + 354. Which is the nearest to 0? (a) p (b) -0.8 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i - 64*i + 21*i + 13*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/2)*r**(-6\/7) assuming r is positive.\nAnswer: r**(23\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**3 + j**2 + 6*j + 49. Let r(c) = 7*c**3 - 4*c**2 - 12*c - 97. Let p(i) = -3*r(i) - 5*u(i). What is the remainder when 209 is divided by p(8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, f: 2, e: 1, n: 1}. What is prob of sequence ffmm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*c**3 - 275*c**2 - 570*c - 160.\nAnswer: -5*(c + 2)*(c + 16)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*r + 5*f, -31*f + 36*f = -r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 4*z + 1. Let g be p(4). Let c(j) = 267*j - 66*j - 70*j - 71*j - 61*j - 11*j**2. Calculate c(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -501309 + 501311. Factor 1\/4*z**4 - 3\/2*z**u + 7*z - 6 - 3\/4*z**3.\nAnswer: (z - 2)**3*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 16 = -4*s. Let m be (-4)\/((s - 3) + 0). Solve 2*t = -m + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -349220, -698304, -1047388?\n\"Answer: -349084*d - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -43. What is the closest to l in -0.5, 2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 16 = -5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 45, 41, 35, 27, 17, 5?\n\"Answer: -y**2 - y + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/315*-3)\/((-130)\/(-39))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/(-12) + (-6)\/(-8). Let w be ((-5)\/((-20)\/(-4)))\/i. Let y(m) = 19*m. Give y(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v + 2*v)*(-1 - 2*v + 1) + (-3 + 3 - 3*v)*(4*v - 6*v - 2*v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, -24, -82, -140, -198, -256?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.1 (b) -5 (c) 3\/5 (d) -66\/125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2176122 divided by -6\nAnswer: 362687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.589 + -15.6. Let u = 4093.988858 - 4094. Let q = u - w. What is q rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 8:23 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 2*u**2 + 2*u + 2. Let f be q(-2). Let h be 77\/5 - f\/(-5). Let k = 20 + h. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 11) in base 8?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - 85. Let k = 109777\/4542 + -2\/757. Calculate the common denominator of 353\/p - 12\/42 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4455005600 rounded to the nearest 1000000?\nAnswer: -4455000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7255, 6102, 4949?\n\"Answer: -1153*u + 8408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - -102?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42576707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + w = 15, -5*w + 45 = 5*c + 10. What is the nearest to -1 in 5, 115, c, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 132*c**3 + 39*c**2 + 86*c + 56. Let d be v(-38). Round d to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + (-1 + sqrt(1053)*2 - (sqrt(1053) + 2*sqrt(1053) + 1 - sqrt(1053)))*-1))**2.\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/915*((-10)\/4 + 1). Put -4, 3, d in decreasing order.\nAnswer: 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -26, 5, 51, 0 in decreasing order.\nAnswer: 51, 5, 3, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-8))\/(-2 - 93\/(-42))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 4. Let s be y(0). Suppose -1 = -5*g + 9. Let o be 5 + g\/(s\/(-2)). Solve -n = -1 - o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/111, -515244, 1\/5 in increasing order.\nAnswer: -515244, 1\/111, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaoaaaaaoaaao.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.875395us in hours?\nAnswer: 0.0000000024653875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*t - 22*t - 43*t.\nAnswer: -174*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-7) + (-4)\/(-14). Let w be (78\/(-18))\/(m\/(-3)). Are w and -12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-4) - (-282)\/47. Let m = 3 + -1. Suppose -13 = -5*b + m. What is the closest to 0 in i, -2, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15.285, -1, -5.2?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513199456 plus -561359?\nAnswer: 1512638097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 3*s**2 + s + 1. Give y(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2 - 3 = 5*b, 25 = b - 5*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 27 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24433602 + 52?\nAnswer: 24433654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23128.7 - -0.13?\nAnswer: -23128.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+0.33108\nAnswer: 0.83108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 392104002*h - 12812129032034667.\nAnswer: -3*(h + 65350667)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4232 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 357 - -265. Let m = 2719 - c. Suppose -830 = -2*v + 4*z, -m = -5*v + 2*z - 3*z. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = 12*m + 168. Let s be 3\/1 - (-4)\/4. Which is the second biggest value? (a) s (b) m (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22255.08 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 y when three letters picked without replacement from ynynnnnnnynnny?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 263354 and 182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4277*j + 1052 = 4803*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -181.\nAnswer: 1\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from rnhnhhh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*l - 214 = 89, -5*n = -4*l - 296. Suppose 7*a - 4*a - n = 0. Let t(g) = g**2 + 60. Let r be t(0). Calculate the highest common factor of r and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 15*n = 304. Suppose -3*l - 5*c + n = 24, 0 = -2*l + 2*c + 8. Calculate the lowest common multiple of l and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04581, -49, 4, 3\/11 in decreasing order.\nAnswer: 4, 3\/11, 0.04581, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -968 = -43*m - 280 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -10. Suppose 3*w + 476 = -199. Let q = w + 265. What is the greatest common factor of q and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 10\/13, -0.3, -5, -3?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -221*15\/(-2925)*15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2742 less than -2741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(30\/(-50))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 + -137. Let u be (2\/5)\/((-5)\/(-850)). Let l be u\/(-18) + f + 5. What is the nearest to -2\/5 in l, 1\/2, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0464 + 0.7464. Which is the biggest value? (a) w (b) 5 (c) 0.01 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(5 + -28*5\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 147*g**2 - 27*g - 21. Let h(j) = 21*j**2 - 4*j - 3. Let b(s) = 15*h(s) - 2*r(s). Let a be b(4). Let k = -191 + a. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.041 and -145?\nAnswer: 5.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 22*l**2 + 7*l + 639. Determine q(-23).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (-5 - -73) + 12.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -14\/5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and 39.\nAnswer: 4.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 5 (c) -2\/29631 (d) 5.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -af3 - -39d?\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3 = 3*z, 0*n - n - 2*z = 3. Let b(q) = 0*q + 14*q - 52*q + 23*q - 2 + 7*q + 9*q. Give b(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 0.4, -6 in decreasing order.\nAnswer: 29, 0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811 is divided by 104.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/10 - -4 - 14\/9. Factor 2\/9*n + 0 - s*n**2 + 2\/9*n**3.\nAnswer: 2*n*(n - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.963 take away 2.7?\nAnswer: -11.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 345*b*g**4*x - 14*b*g**4 + 3*b*g**3*x + 5487*b*x + 2*g**2*x wrt g.\nAnswer: 8280*b*g*x - 336*b*g + 18*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 251743 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74\/43 or 2?\nAnswer: 74\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 128, 297, 544, 875?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*13 - (-13 + -3 + 19 + -12)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 2*d - 2. Let m be b(1). Suppose 4*w + 101 = 3*o, -w - 29 = -o - m*w. Suppose 4*p - 225 = o. What are 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 3571 is divided by 1742?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 338.9952.\nAnswer: 339.9952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-314)\/(-3) - (42\/9 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + -8 + (-2)\/(-3). Do 0.14 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1431)\/(-742) + 3\/(-2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 5*o**2 + 0*o**2)*(-o**2 + 0*o**2 + 8*o**2).\nAnswer: 21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007442021 rounded to 4 decimal places?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22620 divided by 1.\nAnswer: 22620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -43.7, 1\/8, -7, 1\/244?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 13\/6 (c) -0.14 (d) 0 (e) -4 (f) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 161 - 161 - 363*k + (0 + 1 + 1)*(-k + 0*k + 2*k).\nAnswer: -361*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 + 89*c - 231. What is g(5)?\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39056 divided by -16?\nAnswer: -2441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7073107, -7073099, -7073091, -7073083, -7073075, -7073067?\nAnswer: -7073059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 161*m + 1058. Calculate v(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10246, 3171, -8620, -25127, -46350, -72289, -102944?\n\"Answer: -2358*c**2 - c + 12605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1528745202 and 774.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + 14*t - t**3 + 17*t - 34*t - 50. Let y(m) = -m**3 + 5*m**2 - 4*m - 50. Let n(z) = -5*w(z) + 4*y(z). What is the units digit of n(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - 23 - (10 + (-2 - 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 + p + 2. Let a(f) = f**2 - f - 1. Let u(o) = 50*o**2 - 247*o - 17. Let s be u(5). Give s*a(v) - n(v).\nAnswer: v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2614 - -125555\/48. Calculate the common denominator of 29\/1056 and j.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -15519?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2\/2 + 2211*o - 773916 = 0.\nAnswer: 572, 902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15166 (b) -5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2904050\/17 + 4820\/17*a + 2\/17*a**2 = 0. Calculate a.\nAnswer: -1205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -16*z + 13*z + 44, -8*z = 64. What is the greatest common factor of 6494 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66682 (base 9) to base 2.\nAnswer: -1010110100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54423?\nAnswer: 3, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**6\/40 + 23*o**5\/120 - 5*o**4\/12 - o**3\/3 - 8*o**2 + 3*o. Suppose z(x) = 0. Calculate x.\nAnswer: -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*n = -88*n - 144 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20400838 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuxxx. What is prob of picking 3 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 16 + 2)*(v**2 + 3*v**2 - 5*v**2).\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: a70133 (base 11) to base 3\nAnswer: 10020001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -c + 43. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f + 5*f - 32. Let x be (-2 + f)\/(3 + 0 - 4). Suppose -10*n + 12 = -7*n. Put n, -1, -4, x in decreasing order.\nAnswer: n, x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1428297546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 5:22 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iixxxiiixtiixixtxx. Give prob of picking 3 i.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 63477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**4 + 6*l**2 + 2 - 6*l**2 + 22116*l - 21608*l to the form x*l**2 + a*l + b + k*l**3 + o*l**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123.85 - -52.64. Let m = 71 + l. Which is the second biggest value? (a) m (b) -0.5 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-8) + 3*2. Suppose 2*m = -m + 3*p + 24, -4*m - 2*p + 26 = 0. Solve -5*l - 5*w - z = m, 0 = -2*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**5\/20 - s**4\/12 + 5*s**2\/2 - 2187*s - 1. Suppose v + v = 0. Give b(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10187372?\nAnswer: 2, 13, 409, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -703, -1572, -2777, -4312, -6171, -8348?\nAnswer: -10837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*n - 9*y - 86, y = 4*n + 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1463*c - 663. Let p be u(1). What is the highest common divisor of 650 and p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -258239962*v**2 - 242047849 wrt v?\nAnswer: -516479924*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*13\/(104\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 267, 1.\nAnswer: 1, 3, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.30591699 to three dps.\nAnswer: -13.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 1860.745?\nAnswer: 1860.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*u + 16, -3*o + 8 = 5*u - 14. Let h be (-4)\/2*(0 - o). What are the prime factors of 1\/(3\/h + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2. Let m(y) = 643*y - 138. Calculate m(b(c)).\nAnswer: -2572*c**2 - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060878.\nAnswer: 2, 3, 7, 13, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -475422 by -3009.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*c = -3, 3*l + 1 = 2*c + 10. Suppose 3*a - 10 = 6*j - 7*j, -5*a = -l*j - 12. Solve 3*w = -m + 7*w + j, -5*w = 4*m + 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 4 (c) -166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 + 8. Let d(u) = -3*u**3 - 9. Let j = 8 + -4. Suppose -j*l = l + 30. Let v(r) = l*h(r) - 7*d(r). Find the first derivative of v(s) wrt s.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 5\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193280, 386796, 580312, 773828, 967344, 1160860?\nAnswer: 1354376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89973*j**2 - 997*j - 83?\nAnswer: -179946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*m = -1317. Let q be m\/3 + (-5)\/15. Let f = 213 - q. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -0.03, 4, 0.4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 204, 215, 228?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqiq when four letters picked without replacement from {i: 4, q: 3, l: 5}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62b (base 14) to base 3.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28782 divided by 54?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/(2\/18). Suppose 3*n - 21 = -3*m, 4*m = f*n - 11 + 4. Solve a - 2 = x, -a = x - m - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 6*h - 9. Let n be t(-9). What is n rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -16*p. Let h(v) = -v. Let m(i) = -22*h(i) + 2*q(i). Let t(a) = -4*a. Determine m(t(z)).\nAnswer: 40*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 6. Let p(g) = g + 5. Let w(t) = 3*t + 15. Let d(s) = -7*p(s) + 2*w(s). Give 7*d(v) - 6*u(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 48248488*y**2. Let d(q) = -18*q**2. Calculate s(d(j)).\nAnswer: 15632510112*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*l**3 + 1958*l - 1958*l - 145*l**3.\nAnswer: -184*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**2 - 18*r - 2. Determine n(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3503 is divided by 1722.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/7313, -2\/3, -0.4, 0, -0.3 in descending order.\nAnswer: 18\/7313, 0, -0.3, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/22 + 138\/33. Suppose 0 = -3*g - g + 4*o + 28, -8 = -5*g - k*o. Solve -g*s + 16 = 0, d + s = -d + 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134.2 - -149. Let d = w + -15. Which is the biggest value? (a) 2 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - 4. Let z = -851 + 855. What is r(z)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*s + 3 = -3*c, c + s = 13. Suppose -c*d + 13*d = -3044. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324833 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274985 + 487579 = -7194*z for z.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 6*p - 7. Let j be q(-3). Suppose -j*v - 3 = -v. Let f(l) = -l**3 + 2*l**2 - 2*l - 4. What is the units digit of f(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 331844 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35522?\nAnswer: 2, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184704136.\nAnswer: 2, 23088017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 152\/3*m**2 - 40\/3 - 112\/3*m**4 + 28*m - 32*m**3 + 4*m**5 = 0.\nAnswer: -1, 1\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 - 12 = 0. What is the common denominator of (387\/(-24))\/((-81)\/a) and (2 - 4)*(-23)\/44?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -531 in 5, 1\/4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 30 = -10*s. Let v be (-3 - 78\/s) + 6\/10. Let t(b) = 5 - 2 + 2*b + 2. Determine t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1880 and 47\/32.\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2228 = -77*v + 1689 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - 5.05. What is the nearest to 2\/9 in r, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p = -60*p - n + 6, 4*p - n = -301 + 291 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 380 in 0.05, -0.1, -3, -17?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/74181 and 53\/26292.\nAnswer: 2077068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199232670.\nAnswer: 2, 3, 5, 7, 13, 19, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (171\/(-45) + 4)*5. Do 1\/347 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 2:10 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5594488*r**2 + 2*r - 4376407 wrt r?\nAnswer: -11188976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0518392662 + 0\nAnswer: 0.0518392662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -15*q + 10*q + 5865, 4*q = -t + 1185. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178732007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 - 164. Let u be (m\/6 - 9)*6\/(-2). Calculate the greatest common divisor of 315 and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*r**3*v**4 - 20*r**3*v**2 + r**3 - 70*r**2 wrt v?\nAnswer: 20*r**3*v**3 - 40*r**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 790 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 - (-4)\/(-12)*3 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by 28?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220204 = -101*f - 221618 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -1.2. Let i = 1.03 - 0.03. Let j = 2 + -5. What is the closest to s in j, 3\/4, i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4844480 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4649 - -2636. Let r = p - -1294. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*x + 5*m - 3*m, 0 = 2*x - 2*m - 22. Let d = x - 7. Solve r + 2*u = -0*r - 6, -4*r - 2*u - d = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -58, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15465 minus 4?\nAnswer: -4.15465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 9. What is the lowest common multiple of ((-9)\/d)\/((-12)\/(-40)) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 6:03 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12759773 + 0.\nAnswer: 0.12759773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*411 + -2 - (5 - 2). Suppose -4*i = -6*i + x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10\/7))**10\/((r*r**(1\/5))\/r**41) assuming r is positive.\nAnswer: r**(893\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7766, -15336, -22706, -29876, -36846?\n\"Answer: 100*i**2 - 7870*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1 = 19. Suppose 0 = -3*n - 5*u + 11, 5*n - n - 6 = 2*u. Suppose -4*g = -n*g - 20. What is the least common multiple of g and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -34*(1 - (1 + 1)). Let f(h) = h**3 - 2*h**2 + h + 3. Let x be f(3). Suppose x = -w + t. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-1))\/((v*v\/(v*v\/v**(-3\/2)))\/v))**(-26\/9)*(v**(-5)\/(v*v**(1\/3)))\/((v**(1\/3)\/v)\/v)**(-22\/5) assuming v is positive.\nAnswer: v**(-214\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**3 - 3*f**3 + 3*f**3)*(22 - 41 + 95*f + 12*f - 13*f) to c + a*f + g*f**2 + n*f**4 + t*f**3 and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 19 = -2*x + 53, 2*o - 5*x - 10 = 0. Calculate the highest common divisor of 190 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/468*(-117)\/(-72)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27009846 and 402543.\nAnswer: 1377502146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 23038630.\nAnswer: 3\/11519315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by 3?\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*c + 3 - c**3 + 115*c - 57*c as p*c**3 + f + q*c**2 + a*c and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2901127009 to the nearest integer?\nAnswer: 53862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4281326577 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34070 + -3543235\/104. Let g = 4\/13 - k. Sort 1\/5, 1\/7, g in decreasing order.\nAnswer: 1\/5, 1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (6 - (4 + 0)) + 44 + -55.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**2 - 321*a + 1484. Determine k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 3. Let f(g) = -3*g - 7. Let z = -77 + 35. Suppose -3*v - 131 = m, 5*v + 3*m + 284 = 67. Let i = v - z. Determine i*f(a) + 5*s(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5\/3)*c**(-4\/5) assuming c is positive.\nAnswer: c**(-37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 = t, -8*f + 3*f = -t - 9. Let p(o) = -o + 10. Let g be p(6). What is the closest to -0.1 in 1\/2, t, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*n = 8*n - 294. Solve -n - 130 = 44*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 598 and 8188.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxnn when four letters picked without replacement from {x: 9, n: 3, u: 1, d: 5}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41236?\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*d = 175*d + 18 - 6 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**3\/3 + r. Let y(k) = 15*k + 7. Let w(o) = 6 + 0*o - 3 + 3*o + 4*o. Let d(m) = 7*w(m) - 3*y(m). Give d(n(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.45 + 27888?\nAnswer: 27870.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1010?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.097.\nAnswer: -0.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/18)\/(3 - (-315)\/(-81)). What is the closest to -0.2 in 2, i, -3, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 55*f**3 + 4*f**2 - 2*f - 2. What is the units digit of i(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24135534 + -1021?\nAnswer: 24134513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**3\/6 + 4*t. Let g(o) = -3*o**2 + 10*o**2 - 94 + 94. Determine w(g(p)).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.86 + 6.04. Let n = -4.8 + r. Round n to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**2 + 26*f + 23. Let s(y) = -11*y. Calculate z(s(a)).\nAnswer: 726*a**2 - 286*a + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -7) + 2*-1. Let w(j) be the second derivative of 0 + 2\/3*j**3 + j**2 + 9*j - 1\/12*j**4. Give w(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59\/12 + -17\/4. Let s = -0.091 + 0.091. Let z = -178.4 - -178. What is the third biggest value in z, s, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 + 2. Let p be g\/22 + (-4)\/(-22). Find the second derivative of -9*u - 2*u**4 - 2*u**4 + p*u wrt u.\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102524, -205049, -307574, -410099?\nAnswer: -512624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -26. Suppose 0 = -d + 18 - c. Calculate the greatest common divisor of 28 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.0437 + -3.3578. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 25 - (214 - 205)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/16 + 430\/8. Let u be (-2)\/((-4)\/6) + y. List the prime factors of u - 4*2\/4.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/231*(-14)\/(-44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 1. Let o(d) = 3*d - 1. Let y(v) = v. Let g(z) = o(z) - 2*y(z). Let m(n) = 3*n - 3. Let x(p) = -17*g(p) + 6*m(p). What is 7*i(c) + 6*x(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102330 - -313?\nAnswer: -102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6*c**2 - 1 + 1.\nAnswer: 6*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (35 - 12) + -1 + 0. Let d be (-2)\/8 + s\/24. What is the nearest to 1 in d, -3, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - d**2 + 1 + 493*d**3 + 1 - 981*d**3 + 487*d**3 + 11*d**4 in the form u + m*d + a*d**4 + j*d**3 + x*d**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -869789804?\nAnswer: 869789804.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 35*s**2 - 58*s + 21. Give m(31).\nAnswer: 2067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2. Let y(r) = 19*r. Determine n(y(c)).\nAnswer: 361*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144369 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1175479 times -6\nAnswer: 7052874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {m: 5, r: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - 3*t + t)*(-10*t - 33 + 33) + (t + 2*t - t)*(0*t - 6*t + 4*t) in the form n + p*t + q*t**2 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 2 - 2*l**2 - 1)*(-2*l + 3*l - 2*l)*(-4*l + 2*l + 0*l).\nAnswer: -4*l**4 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -440 - -661. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/7 of a week in hours?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 5. Let v be m(7). Let q(p) = -5*p - 5*p + 8*p - 6 - p**2. Let h(f) = -f - 5. Let j(y) = -4*h(y) + 3*q(y). Give j(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 101434459923*a**2\/5 + 197486046*a\/5 + 96123\/5.\nAnswer: 3*(183879*a + 179)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 10:34 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1020124 (base 5) to base 10\nAnswer: 16914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -9*v**7\/14 + 37*v**3\/3 + 11*v - 47. Let k(f) be the first derivative of c(f). What is the second derivative of k(b) wrt b?\nAnswer: -540*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 6*i**2 - 9*i - 4. Let s be j(-7). Solve 0*m + 3*r = 4*m + 24, -4*r + s = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2\/743 (c) 10929 (d) 2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**4\/24 + 2*a**3\/3 + a**2. Let s(h) = 1 - 4 + 0 - h**3 + 2*h**2 + 5*h. Let r be s(3). What is z(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8024*j**2 + 8030*j**2 - 9 - 16061*j**2 - 5.\nAnswer: -7*j**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 4:54 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 - 17*d + 16. Let p be j(6). Let s(o) = o + 9. Let b be s(-4). Suppose m - b = p. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, 0.4, -2, -38\/7, -4?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 - 59. What is the third derivative of -13*s**2 + 85*s - 32*s**w - 85*s wrt s?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3221, -3017, -2851, -2735, -2681, -2701, -2807, -3011?\nAnswer: -3325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + (1 - (-6 + 13))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(3\/2)\/p*p)**(-41\/4))**(2\/81) assuming p is positive.\nAnswer: p**(-205\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/w**(-1\/28))\/(w**21*w**(-28)) assuming w is positive.\nAnswer: w**(309\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = -3*k + 11, 0 = 2*k + 3*a. Suppose 3*g - k*h + 27 = 6*g, -3*h - 29 = -g. Suppose -6*z = -4*z + g. What is z rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6078801.\nAnswer: 3, 271, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 220, 128, -240, -884, -1804, -3000, -4472?\n\"Answer: -138*p**2 + 322*p + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b - 7. Let a(n) = -3*n - 6. What is -5*a(m) + 4*q(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -456, -127, 486, 1389, 2588, 4089, 5898?\nAnswer: 8021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from muinsiny.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -275345426 - 43.\nAnswer: -275345469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-4 + -4 - -19)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.069, 1\/3, -425, -4, 2\/13.\nAnswer: -425, -4, -0.069, 2\/13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 73 = -147. Calculate the smallest common multiple of o and 12.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010011101 (base 2) to base 14.\nAnswer: 88d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 + 2 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248.6 - 249. Which is the closest to -2\/3? (a) -5 (b) m (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v**2 + 3*v + 3. Let y(p) = -399*p**2 + 119*p + 119. Give 238*k(l) - 6*y(l).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/2*(-36)\/(-45). What is the third derivative of h**5 + 23*h - 23*h + 2*h**s wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8610 rounded to the nearest one hundred?\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 24*b**2 + 392*b + 9685. Give z(-27).\nAnswer: 1288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24 + 3512c?\nAnswer: 35150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 11*o**2 - 23*o - 5. Suppose -i = 2*j - 16, i - 2 = -j + 2*i. Is q(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1182*w. Let a(y) = -y. Calculate a(n(b)).\nAnswer: -1182*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/(-63))\/((-170)\/(-1428)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**3 - 10*o**2 + 6*o + 20. What are the prime factors of f(-7)?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -1\/12*w**4 + 232*w**2 + 0*w - 1\/3*w**3 + 0. Calculate v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 2*d**2 + d + 6. Determine h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:30 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.373 to 1 decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23328707?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -891, 24, -145, 13 in ascending order.\nAnswer: -891, -145, 13, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23835 is divided by 211.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -0.2 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -27*x**5\/10 + 11*x**3 + 3*x**2\/2 - 107*x. Find the second derivative of p(q) wrt q.\nAnswer: -324*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010111 - 11000?\nAnswer: 110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4063)\/(-1195))\/((-2)\/30).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2592180*s**5 + 160*s**3 - 2*s - 182060173 wrt s.\nAnswer: 51843600*s**3 + 960*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 350470673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3155*a + 6278*a - 3265*a. Let y(p) = -3*p - 1. Calculate y(i(x)).\nAnswer: 426*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 5*s**2 - 5*s - 3. Let a = -7 + 4. Determine t(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8734 - 0.1266. Which is the third biggest value? (a) v (b) -2\/67 (c) 3\/5 (d) 1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -206 + 204. What are the prime factors of (-728)\/(-1 - 7) - d*2?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 205*v**3 + 147*v**3 - 3160 + 3186 + 17*v**3 wrt v?\nAnswer: 1107*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g**5\/4 + 2331*g**4\/4 + 24643*g**3\/4 - 111*g**2\/4 - 6158*g - 555 = 0 for g.\nAnswer: -10, -1, -1\/11, 1, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04556266273 less than -0.05?\nAnswer: -0.00443733727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 5*r**2 - 2*r**2 - r**2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9627397 is divided by 259.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(847)*1*1 - (-4 + 1 + sqrt(847) + sqrt(847) + sqrt(847))).\nAnswer: -22*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, e: 13}. What is prob of sequence egee?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 12206.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.5 (c) -3 (d) -4\/3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 179*c + 6. Suppose -2*l = 0, 2*q - 5*l - 4 = -4*l - 3*l. Let n(s) = 36*s + 1. What is q*v(g) - 11*n(g)?\nAnswer: -38*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + 3*w**3 - w**3)*((1 - 4*w + 3*w - 3)*(5 - 5 + 4) + (-5 - 1 + 3)*(-2*w - w + 5*w)).\nAnswer: -20*w**4 - 16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21824.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 110063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/21)\/((-7)\/(-6)*(3139\/43)\/(-511)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j - 111*j**3 - 3*j + 16*j.\nAnswer: -111*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, h: 2}. Give prob of sequence ohh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*w - 84 - 34 = 0, 0 = -3*t + 5*w + 422. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -1504.418?\nAnswer: 1502.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/23, -142, 4, 5 in descending order.\nAnswer: 5, 4, 3\/23, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 + 3*w + 15. Let o(z) = z**2. Let x(c) = -o(c) - p(c). Let f be x(-3). Let s(a) = a**3 - 3*a**2 - 2*a - 2. What is s(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 25 + 35. Calculate the least common multiple of 8 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)*-3*1. Let w(l) = l**3 + 46*l**2 - 91*l + 252. Let z be w(-48). What is the highest common divisor of z and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 107236, 214479, 321728, 428983, 536244, 643511, 750784?\n\"Answer: 3*k**2 + 107234*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5*(sqrt(70) + sqrt(70) + (sqrt(70) - sqrt(70)*-1))*-1)\/(sqrt(90)*-3*-3))**2.\nAnswer: -40*sqrt(7)\/9 + 9361\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 153 = -t + 131, -t + 266 = -3*u. Suppose -5*r = -t - 25. Suppose 2*f - 24 = r. Calculate the remainder when f is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8179*q + 48 = -8177*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -10002?\nAnswer: 4\/5001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4\/9*r**2 + 364\/9*r + 368\/9 = 0.\nAnswer: -1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17023513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37 and -255.865392154.\nAnswer: -218.865392154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 3*d + 37 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 128\/(-12)*6\/(-4). Let v = -2 + n. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -11*f**5\/10 + f**4\/6 + f**3\/3 + f**2\/2 + f - 1. Let a(y) be the first derivative of h(y). Is a(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2106 < 74\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 7*y**2 - 2*y + 4. Give n(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 53095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -22. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -69, -137, -253, -429?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -18*q**3 - 52*q**2 - 12*q - 11. What is u(-5)?\nAnswer: 999","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -347, -1 in increasing order.\nAnswer: -347, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 43 - 9 = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 143 + 4*t - 69 - 6*t**2 - 70. Let o(l) = 12*l**2 - 9*l - 9. Give 9*d(y) + 4*o(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1324674 and 1\/65416?\nAnswer: 5298696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -9)\/((-12)\/(-18)). What is m in 5*m**3 + 7*m**4 + 9*m**3 - 3*m**2 - 4*m - u*m**2 + 11*m**4 - 10*m**5 = 0?\nAnswer: -1, -1\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 - 94. Let f = -1589 + 1609. Calculate the greatest common divisor of f and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.098551 years to months.\nAnswer: 85.182612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111780 and 2745.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*3*(((-2 + sqrt(75))*6)**2 - ((sqrt(75) - (-1 + sqrt(75)*-3)) + sqrt(75))**2).\nAnswer: -6930*sqrt(3) + 8712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84366 is divided by 84350.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 82*y - 2013867 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148680265 + -123.8751\nAnswer: 148680141.1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6175713827.\nAnswer: 89, 69390043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.42693 minus 12?\nAnswer: -17.42693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2736, 5476, 8208, 10926, 13624, 16296, 18936, 21538?\nAnswer: 24096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4986892777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -4318.476863.\nAnswer: -4323.476863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 2964?\nAnswer: 11856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 + -160. Let p = 65 + u. Which is the nearest to -0.1? (a) -3 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -471*c - 1554. Calculate d(-4).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 13*r**2 - 68*r + 8. Let t be j(17). Let g(u) = u + 2. Calculate g(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 72*j - 14. Let v(u) = -2*u + 1. Suppose -14*w + 18*w - 20 = 0. Let t(c) = w*v(c) + d(c). What is the derivative of t(i) wrt i?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6709, -8286, -9857, -11422, -12981, -14534, -16081?\n\"Answer: 3*t**2 - 1586*t - 5126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*h - 60 - 8, -3*t - 14 = -2*h. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/117 + 16\/3 + -6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = 0, 4*m = -0*m - 4*z + 20. Let n = -15 + 27. Suppose 2*k - n = 6*k. Put m, -4, k in descending order.\nAnswer: m, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 19*a + 1167. What is g(-61)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 4*g + 1. Suppose -8 = 4*f + 5*h, 2*f - 5*h = -h + 22. Suppose 0 = 3*r + 3*z + 24, -z - 17 = -r + f*z. Give v(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*7\/(-1)*(-426)\/497*2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-40)\/(-30))*16\/6. Put -1, 11, y, -2 in decreasing order.\nAnswer: 11, -1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/212 or -1?\nAnswer: -9\/212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 5\/3 (b) -3\/4 (c) 0.049 (d) -0.3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6764*r*y + 10960*y wrt r.\nAnswer: -6764*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 50880 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j. Let r(b) = b + 3. Suppose 0 = g + 7 + 7. Let q(i) = 5 + 2*i + 2 + 0. Let t(a) = g*r(a) + 6*q(a). Determine t(w(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 19238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -28. Suppose 36 = w + g. Suppose w + 93 = j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/11 - 43\/55. Suppose 0 = -4*v + 7*v + 12. What is the third biggest value in j, v, 0, -2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31783859 is divided by 4540546.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + ((sqrt(363) - -2*1*sqrt(363))\/(sqrt(44)*-2))\/(sqrt(176)*2*1*-4)))**2.\nAnswer: -27*sqrt(3)\/4 + 2359539\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13743?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(60)\/(4*sqrt(4)) - sqrt(15))\/(2*sqrt(605)) - (-1*(0 + sqrt(3) + -1 + 5))**2*-6.\nAnswer: 4225*sqrt(3)\/88 + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/2092275 and 11\/369495.\nAnswer: 1010568825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 - 2*k - k**2 + 7*k)*(-9*k + 3*k - 2*k)*(3 + 1 - 7) to the form s*k**3 + b*k**2 + z + y*k and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6) + -1 + (-4)\/(-12). Let n be u - (3 - 6) - (2 - 2). Let m(w) = 2*w**2 + 4. What is m(n)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 202588.484 to the nearest ten.\nAnswer: 202590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13991 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/4, -7.15, -1\/3, 6\/11, 2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19875\/(-250) + 79)*-2*49?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46489077*o**3 + 140462179*o wrt o?\nAnswer: -278934462*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmmlnnmjmmmnnnjjj. Give prob of picking 2 m.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2715 + 10859\/4. Let z = -0.2 - 0. Put a, -0.12, 0.4, z in descending order.\nAnswer: 0.4, -0.12, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 4*p**2 - p + 1. Let v(z) = -z**3 + 9*z**2 - 11*z - 7. Let t(x) = 2*a(x) - v(x). Find j, given that t(j) = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 22*x - 10*x + (-2 + 2 + 1)*(-2*x - x + x).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -64\/32443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**7\/35 - n**4\/6 - n**2 + 6*n. Let h(g) be the first derivative of y(g). Find the second derivative of h(s) wrt s.\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2 - 5 + 2 + 0. Let b(c) = -3*c**2 + 2*c + 1. Let s(p) = -2*b(p) - 2*u(p). Find the second derivative of s(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/21 - (4 + -3). Let v = 2 + -4. Let o = v + 6. Which is the biggest value? (a) o (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v - 1. Give t(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by (-34)\/8*288\/(-36)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - 46. What is the highest common factor of h and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**5\/120 + 5*s**3\/3 - 4*s**2 + 14*s - 5. Let r(c) be the second derivative of o(c). Let f(p) = -175*p**2. What is f(r(j))?\nAnswer: -175*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676 - y + 4*y + 719 - 1395.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 47 + 49. Let m(b) = 6*b**3 - b**2 - b. Calculate m(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9805 in 0.2, 0.1, 3, -2\/3, 32?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mymybbymbyxybyybx?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8177*h**2 - 563*h + 1117. Does 169 divide w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpqt when four letters picked without replacement from {q: 9, t: 3, p: 4}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -622624 or -622625?\nAnswer: -622625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7841 - 2?\nAnswer: -2.7841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22069041703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10, -104, -308, -614, -1034, -1580, -2264?\n\"Answer: -2*q**3 - 33*q**2 - q + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119255 and 3791.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 less than -4374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 625, 630, 633, 634, 633, 630?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -48, 210 in descending order.\nAnswer: 210, 2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40696 (base 10) in base 6?\nAnswer: 512224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5077035872 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -568854090 less than -4?\nAnswer: 568854086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179209 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 minutes before 2:40 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 931*w = 936*w - 2*o + 31, -w + 28 = -6*w + o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2. Let o(l) = 9*l**2 - 16*l**2 + 8*l**2. What is o(y(x))?\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*c**2 - 85*c**2 + 1 + 30*c**2 + (-3*c + c + c)*(-2 + 2 - 2*c).\nAnswer: -19*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14960 and 306?\nAnswer: 134640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44529\/(-111185) + 16\/40. Let v = 175427825\/266844 + z. Let n = v + -658. Calculate the common denominator of n and 27\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 - -76. Suppose -620 = -2*k - j*v, 8*k = 7*k - 4*v + 316. Calculate the highest common divisor of 44 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 199.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0113 + -786980137.\nAnswer: -786980137.0113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 44579808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-155 + 74 - -14) + 49\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 4.\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -0.4 (c) -69\/26 (d) 2\/9 (e) 2\/751\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24108595 a multiple of 1351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 87332315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n**2 - 23*n**2 + 72*n**2 - 25*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-63)\/(-6) - 10)*-39*20. What are the prime factors of (z\/(-8))\/(9\/24) - -1?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2. Let n = 7 - 6. Let g(c) = 14*c**2 + 1 - n - 13*c**2. What is x(g(h))?\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (sqrt(343)*1)**2 + 2*sqrt(7)*-6 + 1) + 3.\nAnswer: -2067 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 18*s**2 + 40*s + 50. What is d(-16)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from tzyttzztzzzzz?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 17\/7 and 1535 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1046114?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30004*y**2 + 2*y + 67.\nAnswer: -60008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/29)*w)**(-2\/87) assuming w is positive.\nAnswer: w**(-62\/2523)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 + 148. Let p(v) = 8 - 5493*v**3 + 5489*v**t - 5 - v. Let n = -2 - 6. Let a(z) = -11*z**3 - 2*z + 8. Determine n*p(k) + 3*a(k).\nAnswer: -k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 516 and 111204708.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 8. Let m be c(-4). Solve 1 + 10 = -3*b - 4*v, -2*b - 5*v - 12 = m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7}. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -503*g + 599*g + 1329*g + 1424*g - 172*g**2 + 1145*g + 18*g**3 wrt g.\nAnswer: 108*g - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4506 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 3. Let u(l) = -l - 1. Suppose 3 = -2*b - g + 6, -4*g + 5 = b. Give b*y(o) - 2*u(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)\/sqrt(36)*-1)**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.6 - 0.5. Let v = o + 0.9. What is the second biggest value in 0.2, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a. Let w(h) = -h**2 - 2*h. Let f(q) = 2*w(q) + 4*x(q). Let d(p) = -40*p**2. Calculate f(d(u)).\nAnswer: -3200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 5:25 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238843839 to the power of 1\/2, to the nearest integer?\nAnswer: 35197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.9 + -51.9. Sort y, 5, -1, 5\/4 in descending order.\nAnswer: 5, y, 5\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*g = 262*g + 72. Let u = 113 + -53. Calculate the greatest common factor of u and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -w - 24. Suppose w = o - 5. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330796 is divided by 1532?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*d + 145*d + 1 - 4 - 9 = -p, 3*d + 32 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17273923 - 0.6\nAnswer: 17273922.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27428 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 40*s**3. Let k(y) = -y**3 + 2*y**2 - 10*y + 3. Let h be k(10). Let q be 12\/66 - (h\/(-33) + -2). Let m(r) = -10*r**3. Give q*m(g) - 6*d(g).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 228 - 423. Let z be ((-88)\/10)\/((18\/r)\/(-3)). What is the tens digit of (z\/8)\/(7\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*i + 45 = -83. Let z be 2 + ((-1)\/1 - -2). What is the third derivative of -8*d**3 - 9*d**2 + 7*d**z - 7*d**2 - 2*d**i wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 0.01 (c) -12 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 18 = -b, 0 = 5*d - 2*b - 2300 + 2276 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 24431*z**3 - 54514*z**3 - z**2.\nAnswer: -78945*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from xddfuddxdb?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11653316 to the nearest integer?\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 4659607?\nAnswer: -4659606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1399*j**3 - j**2 - 17*j + 1758119 wrt j.\nAnswer: 4197*j**2 - 2*j - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 p, 1 l, and 1 z when four letters picked without replacement from plzcwfw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 31*r + 71. Calculate n(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -435 + 478. Find the third derivative of -8 + t**2 + l*t**3 + 8 + 0 - 45*t wrt t.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(8\/5)*f*f**(-10)*((f\/((f*f\/(f\/(f**(1\/2)\/f)))\/f))\/f)\/(f*f**(-5)*f))**(-2\/7) assuming f is positive.\nAnswer: f**(39\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 929*p = -3*z + 934*p - 22, z - p + 9 = p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y**2 + 12*y + 4. Suppose 28*x = 32*x - 24. Let r be a(x). Suppose r - 48 = 16*p. Calculate the remainder when 59 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.949 and 0.5.\nAnswer: 1.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y + 400. Let d(s) = -7*s + 1. Let w be d(-4). Let b = 53 - w. Calculate the remainder when b is divided by k(79).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 301766*a. Let y(g) = 2*g. What is y(v(q))?\nAnswer: 603532*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 38 - 101 = g, -g + 1 = 0. Which is greater: t or 67?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**3 - 22*k**2 + 2*k - 4. Let u(s) = 3*s**3 - 12*s**2 + s - 2. Give -6*r(c) + 11*u(c).\nAnswer: 3*c**3 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -5 (b) -20.16 (c) -0.1 (d) -0.01 (e) 514\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gss when three letters picked without replacement from giibgisis?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8*(13 + -14). Suppose 2*a + 2*a - 12 = 0. Suppose 12 = -i + a*z, 3*z - 19 = -7. Are h and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 11*w**2 - 15. Let f be y(-8). Let h = f + 212. Let x(o) = 7*o**3 - 2*o**2 - 9*o. Let r(j) = 10*j**3 - 3*j**2 - 13*j. Give h*r(d) - 7*x(d).\nAnswer: d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-18))\/(3\/(-27)). What is the third derivative of -5*h**d + h**6 - 2*h**2 + 4*h**6 + h**2 wrt h?\nAnswer: 600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 10 + 10)*(1 + 3 + 1)*(1 - 1 - 2*w).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 452788139 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 568836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*x - 5*d, -4*x + 2*d + 24 = -d. What is the units digit of (-1096)\/(-16) - 9\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 0*v**6 - 1\/3*v**3 + 0*v**2 + 1\/4*v**4 + 3\/7*v**7 - 121 - 38*v + 0*v**5. What is the third derivative of s(r) wrt r?\nAnswer: 360*r**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 8*v**2 + 10*v + 9. Calculate h(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 145*a**2 + 34*a + 58. List the prime factors of p(8).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4564685 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20827675 and 583?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 998008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2169 + 2230. Is g at least as big as 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 324, 555, 786?\n\"Answer: 231*p + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005806035 rounded to five decimal places?\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 537, 2157, 4857, 8637, 13497?\n\"Answer: 540*d**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/2 + 2325\/10?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6298 and 40600057?\nAnswer: 3149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448 divided by 18.\nAnswer: 224\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -29. Calculate the lowest common multiple of 2 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1276*v - 2558. Give z(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**4 + j**3 - j + 1. Let n(o) = o**4 + 2*o**3 - 2*o + 1. Suppose -2*d = -0*d + 8. Let i(f) = d*u(f) + 2*n(f). Differentiate i(k) with respect to k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c - 9 + 9)*(146 - 146 - 13*c**2).\nAnswer: -91*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 16*x**2 - 8*x - 19. What are the prime factors of z(15)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 34. Which is the third biggest value? (a) -57\/7 (b) s (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/11, 2, 126, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1507778140, 3015556280, 4523334420?\n\"Answer: 1507778140*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 2669670.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246816 and 73702?\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {l: 1, v: 2, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15064 take away -0.001176?\nAnswer: -15063.998824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, g: 3}. Give prob of picking 1 o and 1 g.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 8, -s = 2*u + 18 - 86. Let k = 59 - u. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658000000 rounded to the nearest 100000?\nAnswer: 658000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.4 times -0.1?\nAnswer: -9.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -bb119 (base 12) to base 6\nAnswer: -5144433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - z + 3. Suppose g = -3*g + 8. Solve -h = -g*h + z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2095, 6744, 14491, 25336, 39279?\n\"Answer: 1549*u**2 + 2*u + 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -12. Suppose 3*i + 2 = m. Solve -4*b + 3*b + i = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.27 and 0.0257?\nAnswer: 0.623739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + -13023?\nAnswer: -13000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3317750187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1362, -1357, -1340, -1305, -1246, -1157, -1032?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 + 2*j + 2. Let w = 34 + -32. Let h(y) = 36*y**2 + 15*y + 15. Determine w*h(s) - 15*v(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13618, -30503, -47402, -64321, -81266, -98243?\nAnswer: -115258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/x*x*x*x*x*x*x**(-38))\/(x**(-2\/47)\/x)**(-2\/11) assuming x is positive.\nAnswer: x**(-15091\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -1\/5 (c) -63 (d) 140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70445 and 640760?\nAnswer: 46775480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1081178 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*g**2 - 23*g**2 - 25*g**2 + 115*g**2 - 31*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z*z**(-8))\/z)\/(z**0\/z))\/(z*z**6*z*z**(-6)))**(-2\/41) assuming z is positive.\nAnswer: z**(16\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 9:48 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 41 + 35 = 0. Let u = s - 22. Let v = -4 + 0. Put v, u, -2 in increasing order.\nAnswer: v, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-25)\/250 - (-58)\/(-270) and 77\/30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-544)\/(-144) + (-4)\/(-54)*3. Solve -i - t = 5*f, 0 = 2*i - i - 5*f - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -0*t. Let w(n) = -33002*n + 4. Let f be w(t). Round f to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 19*b**3 + 3*b - 6. Let u(y) = -9*y**3 - y + 3. Determine 6*j(f) + 13*u(f).\nAnswer: -3*f**3 + 5*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (6 + -3 + -1 - (-35 + 33))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575954 is divided by 605?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1110323 + 3152?\nAnswer: -1104141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by 1791.\nAnswer: -31\/1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -99560*l + 29868. Let a(p) = 7*p - 2. Give -14934*a(m) - q(m).\nAnswer: -4978*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.247 - 0.23. Let k = -1.983 - j. Let q be 11\/(-5) - (-1)\/5. Is k > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-6)*3\/2. Suppose 7*s - l*s - 30 = 0. Is ((-2)\/s)\/((-4)\/564) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 3*q**2 + 13*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.59764 years in decades?\nAnswer: 6.859764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i + 126. Let s(v) = -48*v**2 - 2. Let l(b) = 97*b**2 + 4. Let r(c) = l(c) + 2*s(c). What is r(o(q))?\nAnswer: 9*q**2 - 756*q + 15876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 409.8 - 1.95.\nAnswer: 407.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/19? (a) 0.01 (b) -2\/3 (c) 290 (d) -2\/7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y + 3*y + 2*y)*(80*y - 37*y - 35*y).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 1.6 (c) -3 (d) -0.4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 5. Suppose v - 1 = -h - x*v, -15 = -3*h + v. Suppose -5*c + 22 = -0*c - h*a, 5*a + 23 = 4*c. Solve 2*m - c*p = -10, -5*m = -2*p - 0*p + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q + 10 = 0. Suppose v + 2*d = q*d + 6, -4*d - 8 = v. What is the units digit of (v\/1 - -1)\/((-13)\/(-169))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1805*a + 1100 + 896 - 661 + 295 wrt a?\nAnswer: -1805","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267 (base 9) to base 14.\nAnswer: 11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**2 + 0*c**4 - c**4 + 6*c**4 wrt c.\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10*a**(-18)*a*a)\/(((a*a**(14\/9)\/a*a*a)\/a*a)\/(a\/a**(-10))) assuming a is positive.\nAnswer: a**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = -86*d + 152. Suppose 5*s = -y - 22, 29 = -4*s + 2*y + y. Put d, s, 2, 5 in increasing order.\nAnswer: s, d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(66) - sqrt(66)*3)*-5)\/(sqrt(96)*-1 + sqrt(66)\/sqrt(44)).\nAnswer: 60*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + l + 1. Let v be g(-1). Suppose -20 + 110 = v*i. What is the remainder when 298 is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 + 4903770*r - 4903767 = 0.\nAnswer: 1, 1634589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g\/(g**(-2)*g))\/g)*g\/(g\/(g\/((g*g**(-2\/27))\/g))) assuming g is positive.\nAnswer: g**(29\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.70020537 - 0.02080637. Let w = -33.679169 + g. Let f = w - -27. What is f rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 5585802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11685207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4\/7, 3\/5, -5 in decreasing order.\nAnswer: 6, 3\/5, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2*l - 22 + 42, 0 = -q + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75.5 + -3.5. Let g = y - -79.00094. What is g rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.11636 milliseconds in minutes?\nAnswer: 0.001918606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1014155 by 195.\nAnswer: -202831\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3515, 3513, 3507, 3497?\nAnswer: 3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1241\/9 - 138. Is 0 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4686 - 3959. Is i at most 729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, -2, 1\/13, -4\/3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*k**3 - 2*k**2 - 599*k wrt k.\nAnswer: 882*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 + 6*t**2 + 9*t + 10. Calculate y(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 627259767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/12)\/((-40)\/480). Solve h*t = -3*t + 66 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -4063c10b?\nAnswer: 4063c107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4011, -4010, -4009, -4008, -4007?\nAnswer: -4006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*v - 20 = 0, -6*v - 78 = -2*c - 108. Let o(d) be the first derivative of -1\/21*d**3 + c*d - 15 - 1\/7*d**2. Factor o(b).\nAnswer: -b*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351\/224 greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rttrrrnmnrrnra. Give prob of sequence tmra.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6375 equal to 6284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 2, d: 1, x: 1, u: 1, e: 1}. What is prob of sequence xj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 4 - 5)*(5 - 5 + 2*f) + (-2 - 3 + 4)*(-2*f - 3*f + 7*f) to the form n*f + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.261 to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 2*p**2 + p - 4. Let v be h(-3). Suppose 9 = v*g - 9. Suppose -g = -d + 3. 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: b\"What is the kth term of -49, -72, -111, -172, -261?\n\"Answer: -k**3 - 2*k**2 - 10*k - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11795243 to the power of 1\/2, to the nearest integer?\nAnswer: 3434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, -4, 14, 5 in increasing order.\nAnswer: -11, -4, -2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1231 = 24*c - 1039 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 10 = 5*d, 4*d - 25 = -5*h. Let g be 2\/h - 43\/(-9). Solve -g = 3*k + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**3 + 3*h**2 - 2*h - 1. Is s(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 112 - 22 = -36*r. What is the smallest common multiple of r and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1446848, 1446849, 1446850, 1446851, 1446852?\n\"Answer: r + 1446847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 59670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(54\/12)*(-1961201)\/(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 485, 1194, 2213?\nAnswer: 3542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 1dc?\nAnswer: 1dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2145320, 2145296, 2145258, 2145206, 2145140, 2145060?\n\"Answer: -7*n**2 - 3*n + 2145330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 2*y**2 + 2. Let o = 2 - 2. Let c be o*(3 + 25\/(-10)). Let g be l(c). Solve -g*v = v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c9 (base 14) to base 15.\nAnswer: 19d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2. Suppose 3*y - 96 = 114. Let a(q) = 114*q + y + 116*q - 341*q + 110*q. Calculate a(h(j)).\nAnswer: j**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*y + 40, 5*y + 22 = -5*d + y. Let v be (-1)\/(-2)*4\/d. Sort -4\/3, 1, v in descending order.\nAnswer: 1, v, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -9. Calculate the lowest common multiple of g and (154325\/1500 - 6\/8) + 122\/(-915).\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c = 20. Let w(v) = -4*v**3 - 4*v**2 - 17*v - 18. Let f(a) = 3*a**3 + 3*a**2 + 12*a + 12. Let g(p) = -7*f(p) - 5*w(p). Is 19 a factor of g(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, t: 1, w: 1, n: 2}. What is prob of sequence nnwt?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a day?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(231*r - 57*r + 120*r) + 3*r - 4*r + 0*r.\nAnswer: -589*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -22000123?\nAnswer: 22000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = x - 4*t - 7, 71 = x + 5*t. What is the highest common factor of 23 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 1)\/2*-15. Let i = 52 - -8. What is the greatest common divisor of h and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**3 + 1031180*z**2 + 10311356*z - 11342540 = 0.\nAnswer: -257785, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t + 1. Let w = -3 + 5. Let d(g) be the first derivative of -3*g**2 + 2*g + 1. Let p(k) = w*d(k) - 5*z(k). What is the derivative of p(j) wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 9*x + 10. Let i be p(7). Let a be (4\/(-3))\/((-33)\/(-9) + i). Solve -a*f = f - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f + 24. Determine b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -110*n**2. Let x(p) be the second derivative of p**4\/6 + 80*p - 2. Give m(x(q)).\nAnswer: -440*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228, -613, -1186, -1971, -2992?\nAnswer: -4273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y + 4*y - 16*y**2 + 4*y. Let o(x) be the first derivative of x**3 - x**2 + 242. Calculate 6*l(i) + 33*o(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-658)\/70)\/((-2)\/40). What is the greatest common factor of 141 and b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 337, 1697, 4079, 7477, 11885, 17297, 23707, 31109?\n\"Answer: -f**3 + 517*f**2 - 184*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u - 10. Let n(m) = -7*m + 10. What is 5*c(x) + 6*n(x)?\nAnswer: -2*x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + (sqrt(363) - (sqrt(363) + -2 - sqrt(363)))*2)**2.\nAnswer: 264*sqrt(3) + 3283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -727, -2891, -6483, -11491, -17903?\nAnswer: -25707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 16*v - 30. Let b be q(-10). Let y be (-5)\/20 + b\/(-8). Let d(s) = -5 - 10 + s + 12. Calculate d(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1198423 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 + 99. Suppose -14 = 4*l - 5*f, -2*l = y*f - 5 - 3. Let w be l + -1 + 110\/45. Which is the closest to -2? (a) -3 (b) -0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-1)\/153*3). Let v be 6\/d + 46110\/51. Suppose 712 + v = 8*b. What are the prime factors of b?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491\/6 bigger than -485\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/28)\/(1275\/2380).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 371130 and 556?\nAnswer: 742260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24050 by -5.\nAnswer: 4810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6547 times 13?\nAnswer: -85111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**2\/2 + 13*x - 3. Let n be q(11). Suppose 17 = 2*m - 15. Solve 3*w - p = -2*p - 14, -n*p - m = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4010114 bigger than 4010179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-1 + -4) + 39\/3. Calculate the greatest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -9 + 131\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 18 + (5 + -3 - -2) + -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 - 338. Let f = 134.4 + g. Which is the nearest to 0.1? (a) -0.07 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 57082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 120 - 369 + 122 + 122. Suppose 3*w = -5*v - 28, -5*v + 5*w + 0*w = 20. Let p(s) = s - 11. Determine v*c(x) + 2*p(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3 + 9. Let o be ((-170)\/(-15))\/(2\/q). Let c be (-2)\/3 - (-1126)\/6. What is the highest common divisor of o and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 + -3 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 - 1) + -7 + (162 - (317 - 164)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, w: 7}. Give prob of sequence wwwv.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 15) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 800 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327450 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*l + 10*l + 14*l + l**2 - 3*l**4 to the form y*l + n*l**4 + p*l**2 + z*l**3 + s and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 12:12 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3426*t**3 + 18875*t**3 - 6*t**2 + 2*t**2 + 4*t**2.\nAnswer: 15449*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122 - -178. Let n(q) = x - 56 + 13*q. Let i(y) = 2*y**2. Give n(i(b)).\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17 (b) -0.2 (c) -0.4 (d) 0.3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -102838 and -0.05.\nAnswer: 5141.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14970098 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2 - 348*y - 6048 = 0.\nAnswer: -63, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*10\/(-175)*10\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10190 is divided by 2546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(33))\/sqrt(11).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31786, 63572, 95358, 127144, 158930, 190716?\nAnswer: 222502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/6*(-1896)\/(-395)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-101)\/(-9) + 8\/(-36). Let i(u) = 5*u - 1 - y*u - u**2 + 5*u. Let h be -10*2*(-2)\/(-8). Let k(z) = 4*z**2 + 4*z + 7. Calculate h*i(l) - k(l).\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:52 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0050874 rounded to 4 decimal places?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24002 + 4?\nAnswer: -23443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, r: 3, o: 1, h: 1, x: 2, p: 3}. Give prob of picking 1 r, 1 o, and 1 j.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3835\/1748 - -1068\/437. Let m be (-6)\/(-14)*4\/6. Which is the nearest to w? (a) 0 (b) -4 (c) 0.03 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -98, -132, -204, -326?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-6 + -1))*2\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 + 194. Let f = j + -152. Let w = 77 + f. Sort 4, 3, -1\/6, w in increasing order.\nAnswer: w, -1\/6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 15. Let y be t\/(((-24)\/20)\/(-3)). Suppose o = 2*c + 7, 2*o - 4 = 5*c + y. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 8:20 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -759688 < -759688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/4*3\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-300))\/(1\/87 + 0)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 17 = 105. Let g be (-6)\/(-4) + (-33)\/z. Solve 3*s = g*w - 18, 0 = 6*w - 4*w - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(108).\nAnswer: 3 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/(-45)*(-5)\/((-5)\/(-2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/r)\/(r**10*r) assuming r is positive.\nAnswer: r**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*a**3 + 21*a + 1263?\nAnswer: 33*a**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1350, 1332, 1310, 1284, 1254?\nAnswer: 1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1423141 (base 6) to base 11.\nAnswer: -559a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-1)\/2) + (-1155)\/42. Is -31 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 12*c - 1. Is w(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 424*m - 332. Calculate d(2).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222 - 5?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -79, -53, -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 8. Calculate k(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11015 + 17600. List the prime factors of i.\nAnswer: 3, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 46. Let c be t + -2 + (-44)\/(2 + -3). Let v be (-2)\/(-4 + 190\/c). Which is bigger: -46 or v?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-4))\/((-26)\/(-442)*-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x + 6*x - 10*x - 9*x.\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1. Let c(u) = 6*u + 3. What is -c(p) - 3*j(p)?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -5, -7701, 1, 2 in decreasing order.\nAnswer: 2, 1, -5, -84, -7701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + v + 0*v = 147, -99*v + 0*v = -3*z - 106*v - 212 for z.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 2*d**5\/5 - 2*d**4 - 22*d**3\/3 - 6*d**2 - 57. Factor i(q).\nAnswer: 2*q*(q - 6)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -10. Suppose -3*v + u + 4 = 0. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*a = -0*d, 5*d - 2*a - 31 = 0. Suppose -2*x - 3456 = -d*x. Calculate the common denominator of (-2)\/(-7) - x\/210 and 6\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f**(-4)*f)*f)*f)\/((f**(-7)\/f)\/f))\/(f*f\/(f\/f**(-6))*f**(-3)))**(-1\/7) assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5252221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, -14959, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-1 + -4 + sqrt(80) + -1 + -4*(sqrt(605) + -2 - sqrt(5))**2.\nAnswer: -2021 + 163*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = -5. Let d be (-1 - -5)\/(j*2). Solve 3*g = -m - 13, m + d = -3*m - 2*g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*2*-6)\/((sqrt(84)*-1 - sqrt(84))\/sqrt(12)))**2.\nAnswer: 1331\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2335 + 14598 = 3*s + n, 4*n = 8. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/12)\/((-2)\/(-8)*-1). Let w be 4 + (2 - (7 + -2)). Suppose -2 - w = -3*f. What is the second smallest value in g, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1839 + -0.1161. What is the nearest to -0.03 in -1, j, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(2*k + 3*k - 3*k) - 2 - 4*k + 10*k - 2*k.\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2617 (b) -2\/3 (c) 0 (d) -1.4 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5))**(2\/65)*(s**(-3\/2)*s)\/s**(-5\/2) assuming s is positive.\nAnswer: s**(646\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 830*c**2 - 2*c + 9. Let y(j) = 5*j**2. Give r(y(l)).\nAnswer: 20750*l**4 - 10*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6776? (a) -1 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/5, 8\/7, -2, 2\/7, -3\/8.\nAnswer: -2, -3\/8, 1\/5, 2\/7, 8\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**3\/3 - 3*q**2\/2 - 26. Let p be j(-3). Solve 8 = -5*m + s - 12, m - 2*s + 4 = p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 6, e: 13}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a - 20 = 0. Suppose -3*f - 2 = 2*n, -21 + 3 = -5*f + 2*n. Suppose -6*s = -2*s - 88. Solve 29 = -5*z + a*o, 4*z + f = 4*o - s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r + 12 = 0. Calculate the smallest common multiple of 11 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/11001487 + -1467785391139\/220029740. Let d = 6674 + u. What is the common denominator of (4\/(-96))\/(12\/(-198)) and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/4)\/(1\/4). Let n be 8000000\/8*(-1 - s). Round n to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4968.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 + 20266*k**3 - 51288142*k**2 - 256947610*k.\nAnswer: -2*k*(k - 5069)**2*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Suppose -4*m = -d*j + 110, -4*m + 58 = 4*j - 102. Calculate the highest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011216426859 to five decimal places.\nAnswer: 0.01122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 25. Let w be (12\/(-6))\/(3\/s). Let j(m) = -m**3 - 6*m**2 - 4*m - 8. Calculate the remainder when 45 is divided by j(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 43*x**2 + 1. Let y be c(-1). Let i = -44 + y. Suppose i = -10*l + 14*l - 32. What is the remainder when 14 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -340577, 7, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 969 and 0.1?\nAnswer: 96.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2523, -8468, -18375, -32244, -50075, -71868?\n\"Answer: -1981*c**2 - 2*c - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1015)\/10 + 4\/(-8). Let u = m - -113. Put 4, -4, -3, u in increasing order.\nAnswer: -4, -3, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34153 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -10*b + 3*b**2 + 11*b + 147 - 155 - 2*b**2. Let w be n(-11). What is the highest common factor of w and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = p - 174, -2*m - 6*p + 3*p = 353. Let s be 1\/4 - m\/(-28). Let o(r) = -r**2 - 10*r - 12. Let n be o(s). Solve -c = -i - 3, 2*c + n = -4*i - 2*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 19*d - 39. What is the remainder when 30 is divided by m(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 963885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4034, -8030, -12026, -16022?\n\"Answer: -3996*x - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t + 4*t**2)*(8*t**2 + t**2 - 5*t**2)*(-3 + t + 3).\nAnswer: 16*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43594250873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 8, -1\/2, -8\/65, 3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303 + -221202232?\nAnswer: -221203201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -104*y + 809. Give r(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, c: 1, b: 3}. Give prob of picking 2 b, 1 c, and 1 t.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -24. Let h(y) = -4*y**2 - 2*y**k + 7*y**2. Let z(a) = 12*a**2 - 16*a + 16*a. Give z(h(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -454.\nAnswer: 7\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.06 and 0.2.\nAnswer: -0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/9540 and 23\/12.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 15 = -5*h, -10*h - 5*z = -13*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1848 and 14574714?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 l, and 1 h when three letters picked without replacement from hhooholmhhmm?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + v + 9, m - 16 = 3*m + 4*v. Let u(q) = m*q - 43 + 43. Let c(z) = -30*z + 5*z**2 + 30*z. Calculate c(u(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w**3 + 1 - 3*w**3 + 0)*(1871*w + 2079*w + 102 - 102).\nAnswer: 23700*w**4 + 3950*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16623?\nAnswer: 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3407 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -778*l - 250*l - 13619 + 2311 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -115.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2030\/(-47 - -76) - 85?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1299945 divided by 15?\nAnswer: -86663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*d + 10, 7*d - 10*d - 15 = 3*o. Solve r + o = -4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 63922 - 232541 = i, -4*m = i - 337235. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-715)\/22*128\/104?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*(-345)\/(-1840).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110302122 + -111?\nAnswer: 110302011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1536))\/(sqrt(12) + sqrt(108)*-4).\nAnswer: 16*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - p - 7. Let s be d(4). Solve -9 = s*w + a - 0, 2*w + 6 = -a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(12\/7))**50 assuming h is positive.\nAnswer: h**(600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o. Let g(f) = -14*f. Let i(j) = -4*g(j) + 11*h(j). Let b(d) = 3*d + 3*d - d - d. Calculate i(b(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/48 and 29\/224?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)*i\/(i*(i\/(i**5\/i))\/i*i))\/((i*i\/i**(3\/11))\/((i*i*i\/(i**11*i))\/i)))**(-29) assuming i is positive.\nAnswer: i**(3741\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31629*j*n**4 + 60*j*n**2 + 19*j*n - 3*n wrt n?\nAnswer: -759096*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 6:05 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81372093.\nAnswer: 3, 11, 839, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/9 + 3)*(18\/(-4) - -5)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:11 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0657495g to nanograms.\nAnswer: 65749500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1441442 * 29\nAnswer: 41801818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/5 of a microgram?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 5*j**2 + 5*j. Let k be q(-3). Suppose 0 = 2*a - k - 5. Let g(o) = 2*o**2 - 12. Is 7 a factor of g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -271676 - -2178489\/8. Let g = 644 - u. Suppose 4*j + 0*j = 196. What is the common denominator of j and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-10)\/(-4)) - (-1860)\/(-150). Let b(l) = l**3 + 10*l**2 - 19*l + 27. Give b(d).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*g**2 + 705935*g - 705935*g - 5137*g**3 wrt g.\nAnswer: -30822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**3*f))\/f*f*f**(-12))**17 assuming f is positive.\nAnswer: f**(-170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 = -12. Suppose t*x - 4*x = 768. Suppose -2*z + 6*z - x = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 10*s + 1. Suppose 0 = 4*z - 50 - 34. Let w = -2 + z. Calculate the remainder when w is divided by h(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/((-3*sqrt(16))\/sqrt(4))*3)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 122*b**2 + 1756*b + 175. Calculate x(-135).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17106675893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 210 - 6*u - 6*u - 13*u + 24*u - 6*u to v + c*u and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1933715 rounded to three decimal places?\nAnswer: -0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 69 = 5*x - 62, w - 3*x = 38. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227413565.\nAnswer: 5, 19, 509, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*((-4)\/10)\/2. Let x = -396 + 3155\/8. Let z = 71\/24 + x. What is the biggest value in -2, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10325, -41214, -92703, -164798, -257505, -370830?\n\"Answer: -u**3 - 10294*u**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157670*r**3 - 4*r + 139867*r**3 + 4*r.\nAnswer: 297537*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -396 + -1804. Round q to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.075406s in minutes?\nAnswer: 0.0845901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*m + 6496, -43*m + 1582 = -44*m + 4*b. Which is smaller: m or -4846\/3?\nAnswer: -4846\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 498404522 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -140?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -1\/9, 0.03, -2\/13, -1\/2, 7838?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5 + 3*(0 + sqrt(3))*-2)**2 + 3).\nAnswer: 120*sqrt(3) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**5\/60 - s**4\/24 - 45*s**2. What is c in k(c) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 458.9134 + 0.0866. Let s = c - 459.000000114. Round s to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 3*w**2 - 3*w. Let f(v) = -v**2 + v. Let h = -80 - -79. Give h*x(z) - 3*f(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**3 + 3*g**2 + 1. Let f(v) = -3*v**3 - v**2 - 1. What is -7*f(t) - 3*q(t)?\nAnswer: 3*t**3 - 2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13310310 - -10?\nAnswer: 13310320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 197\/12 or 0.05?\nAnswer: 197\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 11:54 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240448083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1243917 and 3.8548.\nAnswer: 1243920.8548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r - 78 + 21 = m, -r = -5*m + 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6996 and 2.\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75.69 - -76.19. Let i = 3 - 4. Sort u, 5, -1\/8, i in increasing order.\nAnswer: i, -1\/8, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (48\/35 + 0)*51750\/8280. What is w in 33\/7*w**3 + p + 21*w + 117\/7*w**2 + 3\/7*w**4 = 0?\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.204961 less than 5?\nAnswer: 9.204961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.083 in -3, 0.1, -0.204, 1\/4, 0.4?\nAnswer: -0.204","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 153859955 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 715\/420 + (-2 - 84\/(-49)). Put -4\/7, j, 2 in ascending order.\nAnswer: -4\/7, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*g + 1 - 16 = 0, -3*g = -4*v + 82. Solve 10*f - v*f - 27 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 249 + -146. What is the remainder when p is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 - (-2 + 6\/1). Let h(r) = r**3 - r**2 - r. Let v be ((-1 - -3) + -1)*2. Let l be h(v). Solve s - l*s = y - o, -y = -3*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/sqrt(6) - sqrt(16)\/(sqrt(8)*-3))*2 + (-1 + sqrt(2) + 1 + 5 - sqrt(216)\/sqrt(3)).\nAnswer: 5 + 17*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285, 361, 441, 525, 613, 705?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 189, 781, 2371, 5457, 10537, 18109?\n\"Answer: 83*y**3 + y**2 + 8*y + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500 - 6*o + 35*o - 500.\nAnswer: 29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(52) + -2)*6 - sqrt(52))**2.\nAnswer: -240*sqrt(13) + 1447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*a = -471, -3*a = c + 31 - 153. What is the greatest common divisor of c and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 135?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 349*d**3 - 949*d wrt d.\nAnswer: 2094*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 55. Let r(b) = 6*b + 5 - 4 - b - w. Calculate r(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**5 + 3*y**4 - 4*y**3 - 10*y**2 + 6*y + 16. Let m(c) = -c**5 + c**2 + c. Let x(a) = 5*f(a) - 30*m(a). Factor x(d).\nAnswer: 5*(d - 2)*(d - 1)*(d + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*w + 28 - 11, -5*a - 4*w - 1 = 0. Suppose -7*m = -2*m - 90. Solve m = 5*g + a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-55)\/22*648\/(-135). Solve m + 145*j - y = 150*j, -2*j = -4*m + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y - 25. Let v be w(-10). Let z = 10 - v. Let r(t) = -t**3 + 4*t**2 + 3*t + 1. Determine r(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 - o**2 - 3*o**2 - 2*o**2. Let a(l) be the second derivative of 0 - 8*l + 0*l**2 - 2\/3*l**3. Determine b(a(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, -1\/4, 3, -3, 4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32f6510 + -5?\nAnswer: -32f6515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/7 in 3\/2, 0.4, 3, 0.5, 332?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108123 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b)**(2\/21)*(b*(b*b*b**7)\/b)\/b**(-2\/13) assuming b is positive.\nAnswer: b**(2473\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -101558*f + 3264. Let c(d) = 2477*d - 80. Calculate 204*c(m) + 5*y(m).\nAnswer: -2482*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49904, 98264, 146624, 194984?\nAnswer: 243344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2 - 2. What is the second derivative of -3*p + p**d + 5*p + 0*p wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/12 and -67\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -19, -24, -31, -40?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.2385s in milliseconds?\nAnswer: 165238.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000011111100101001 (base 2) in base 13?\nAnswer: -15bcc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + 573 + 586 + 577 + 4*l**3 + 139*l**2 - 1735 to the form r*l**3 + b*l**2 + y + j*l and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4422, 17667, 39740, 70641, 110370, 158927, 216312?\n\"Answer: 4414*z**2 + 3*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + (-9 - -13) - -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -374 + -10?\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.042108854 to 4 decimal places.\nAnswer: 0.0421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7812.26 centuries in months?\nAnswer: 9374712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1444675*b**5 + 441622*b - 3 wrt b.\nAnswer: -28893500*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2. Let v(m) be the second derivative of 13*m**5\/60 - 25*m**2\/2 - 25*m. Let w(i) be the first derivative of v(i). Calculate w(n(b)).\nAnswer: 52*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2658125\/4692 + 9636\/17. What is the common denominator of -39\/16 and b?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22202111 (base 3) in base 8?\nAnswer: -14361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285376*d*l*z**3 + 2*d*l*z**2 + l*z**3 + 31*l + 17955 with respect to d.\nAnswer: 285376*l*z**3 + 2*l*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.067 + 0.089. Let w = n - -0.178. Which is the fourth smallest value? (a) w (b) 2 (c) 3\/2 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1246 (base 14) to base 6.\nAnswer: 22450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + l = -7, -10*j + 14*j + 5 = l. Suppose -q - 14 - 1 = -3*m, 22 = -2*q + 4*m. Let g = 1.9 - 2. Which is the nearest to -1\/5? (a) g (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16759 and 9.\nAnswer: 150831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**2 + 3*u - 4. Let c(h) be the second derivative of -h**4\/3 + h**3\/2 - 5*h**2\/2 - 2*h + 4. What is -5*c(n) + 6*r(n)?\nAnswer: 2*n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*z**2 - 16*z - 207*z**2 - z**3 - 3 + 3.\nAnswer: -z**3 - 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2976, 2986, 3016, 3078, 3184, 3346, 3576, 3886?\nAnswer: 4288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 times -1408.4\nAnswer: -436.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20962.\nAnswer: 2, 47, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + (3 - -2 - (-71 - -95)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2 - 276*s + 1736 = 0. Calculate s.\nAnswer: 7, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32099.09ml to litres.\nAnswer: 32.09909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (10 + -5) - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 128795996 a multiple of 1484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j - 16 = -3*i, 0 = i - 4*j + 16. Suppose q = 4*m - 9, 5*m - 5*q = -2*q + 6. Suppose m*x + 0*x = 66. Solve i = 4*c - 8, -x = 3*l - 4*c - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 4:42 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - l + 1. Let a = 8 + -7. Let c = -1 - -3. Let y(m) = -4 + 2*m + 2*m + c*m**3 + 0*m + 0 + 4*m**2. Calculate a*y(h) + 4*n(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 16 = -9*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142 - -382. Let x be g\/210*(-3)\/12. Let s = 1 - 1.5. Sort -5, x, s in ascending order.\nAnswer: -5, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 82.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*sqrt(405)*2)**2.\nAnswer: 162000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -1. Let t = h - -5. Let v = t - 1.9. Are v and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*b**2*k**3 + 3998*b**2*k + 3*b**2 - 80*k**3 + 113*k**2 - 1 wrt b.\nAnswer: 18*b*k**3 + 7996*b*k + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 2)\/((-1)\/3). Let y be 0*(3\/2)\/r. Let b(p) = 2*p**2 + 2*p + 15. Let f(j) = -3*j**2 - 3*j - 23. Let s(k) = 7*b(k) + 5*f(k). Give s(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + -30 + (482 - 481)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2763, -5524, -8285, -11046, -13807, -16568?\nAnswer: -19329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -61, -4, 2, 0.1, -1\/7?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 700, 2845, 6450, 11539, 18136?\n\"Answer: 4*y**3 + 706*y**2 - y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/22)\/(-14*(-36)\/3696)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145488638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 2*i = 12*k - 12, -2*i = -k - 2. Let t be 76\/10 - 2\/(-5). Suppose 0 = k*s - t, 4*s - 3 = -2*p + 3*p. Does 12 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 131*r - 44. Give g(-44).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56269279279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (0 + 218)\/(-6*(-1)\/48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, a: 5, p: 2, b: 2, z: 2, l: 1}. Give prob of sequence bkpp.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(2\/29))*j*j)\/(j\/(((j*j**(-11))\/j)\/j)) assuming j is positive.\nAnswer: j**(-317\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14992444790 and -25.3.\nAnswer: 14992444764.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2643402697?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 9*x - 9. Let f be l(-4). Calculate the highest common divisor of f and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10199 and -10204 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7)*-1 + 5 - (2 + 0 + 1*sqrt(7)))**2 + 0.\nAnswer: -8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*y + 3*j, 9 = 3*y + j + 1. Suppose y*l + 2*l - 25 = 0. Let c(h) = h**2 - 5*h + 5. Determine c(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 413418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*u - 84299990, -a = 3*u - 8*u - 28099990. What is a rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156909?\nAnswer: 3, 193, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313302402 (base 5) in base 12?\nAnswer: 18b4844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 1:09 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d + 3526 = 58*d. Calculate the remainder when 418 is divided by d.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 7. Let n be j(12). Let w = -42 + 48. Let k = w + 14. What is the third smallest value in 2, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from nfahhcb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 3. Let q be (-3)\/(-3) + k - 2. Let j(u) = u + 1. Let f be j(q). Is f > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60228 * 0.3\nAnswer: -18068.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -178 + 379 + -188 - (-57 - 0)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1604 is divided by 562.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 131075\/6 or 21845?\nAnswer: 131075\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -187*a + 170*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 4. Let t = 174 - 523\/3. Put t, c, 3 in ascending order.\nAnswer: c, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.978725 litres in millilitres?\nAnswer: 3978.725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6151078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + w + 0*w - 9*w + 7*w + 6*w + 6*w - 3*w - w + (2*w - 2 + 2)*(1 + 2 - 1) + 2 - 2 - 2*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27538, 109550, 246106, 437098, 682418, 981958, 1335610, 1743266?\nAnswer: 2204818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, v: 3}. Give prob of picking 3 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 42*u. Let n(h) = -17*h - 1. Let z(d) = 2*j(d) + 5*n(d). Determine z(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-672)\/4020)\/(-14)*((-1260)\/(-56))\/9?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/5 - 3486*w**2\/5 + 201135*w + 4078668\/5.\nAnswer: 3*(w - 583)**2*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = -6. Let j be (d\/5)\/(2\/(-20)). Suppose 3 = i - j*i. Sort i, 1, -3 in increasing order.\nAnswer: -3, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27\/50)\/(2\/(-355)). Let w = x - -333\/4. Find the common denominator of w and (-142)\/(-21) + (-12)\/28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**3 - 238*o**2 + 998*o - 1724. What is t(75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4 - 2 - 2*z + 0. Let d be g(-2). Let m(y) = y**2 - 2*y - 5. Is m(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -30 - r**2 + 20*r + 4*r + 1 + 14*r - 5*r. Let x be k(32). Let j(t) = t**3 + 2*t**2 - 3*t - 3. Let s be j(-2). Solve 0 = -0*a - x*a + s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*h**3\/5 - 155092*h**2\/5 - 17720*h - 12656\/5 = 0. Calculate h.\nAnswer: -1582, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + (-2 + -2)\/2. Let c = t - -11. Factor 4*m**3 + 2*m**c - m - 5*m**3.\nAnswer: m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.4 - 14.2. Which is the closest to -0.1? (a) -4 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 96*y**2 - 18. What is the hundreds digit of o(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (104\/(-16) - -20) + -14.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(56\/21)*(-160)\/4680.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122\/(-11) + -1 - (-20 + 8).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-8 - 0) - 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15194278, -30388553, -45582828, -60777103, -75971378?\n\"Answer: -15194275*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1512540 - -3530?\nAnswer: -1506010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 11:36 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 117773\nAnswer: 23\/117773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, 1, 0.1, -5, 3925, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -227134.39 * 2.\nAnswer: -454268.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52030916*v + 31154*v**3 - 52030916*v)*(0*v - v + 3*v) to o*v**4 + r*v + d*v**2 + z + g*v**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*h**4*m*n + 17*h**4 + h**3*m*n - h**2*m + 2*h**2*n + h*n + 6*m*n wrt h.\nAnswer: -672*h*m*n + 408*h + 6*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*31\/(-8)*(6328\/42)\/(-113)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**8\/840 - 3*m**7\/175 - 7*m**6\/100 - 19*m**5\/150 - m**4\/10 - 2*m**2 - 610. Solve h(v) = 0 for v.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 9:52 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 63512592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -21?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*h = 57, 5*b - 2*h - 78 = b. Calculate the remainder when 40 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 51*t + 222. Calculate v(55).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 30 + 41 - 2*l**2)*(2*l + 0*l**3 + 6*l**3 - 4*l**3).\nAnswer: -4*l**5 + 110*l**3 + 114*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094632301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -12*n**2. Let a(t) be the third derivative of t**4\/12 + 16*t**2. Calculate a(s(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-3)\/72)\/(23\/(-92))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 2*y + 0*y)*((91 + 58 - 28)*(-5 + 2 + 5) + 1 + 1 - 4) in the form o + g*y and give g.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 10*c**2 + c**2 - 3*c**2)*(-2 + 0 - 2) in the form m*c + z + r*c**2 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319\/111 - -27547\/7770. Let p = q - 4\/7. Is 0 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -1) + -2*2. Solve -l + 21 = -3*t + 2*l, f = 4*t - 3*l + 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and -0.1925.\nAnswer: -6.1925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - a + 80. Suppose 42*x + 55 = -80 + 51. Which is greater: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550 divided by 1275?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 6 - 16)*(-2 + 2 - 2*d).\nAnswer: 100*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.042373 to four decimal places.\nAnswer: 0.0424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - d - 5 = 0, p = 5*d + 1 - 0. Is 21 a factor of 14\/(p + (-248)\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 z when three letters picked without replacement from zeueuleleuzbuufeeeue?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Suppose -4*o = -5*i - 6*o + 20, 0 = -i - c*o + 4. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*m**5 - 2*m**5 + 6*m**5 - 6*m**2 wrt m.\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18914233?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 93*c + 1051. Calculate the remainder when h(92) is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -146\/7. Let v = -25 - -27. What is the nearest to -2 in -5, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.1 - 28. Let h = -203\/2 - -101. Let z be 1 + (4\/(-12))\/1. What is the nearest to 0 in w, z, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0*p + 1\/30*p**5 + 25\/3*p**3 - 1\/6*p**4 + 0 + 26*p**2. What is the derivative of o(c) wrt c?\nAnswer: 4*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -0.1. Let x = 5.08 + -5. Let j = 0.12 + x. Which is the third smallest value? (a) j (b) -1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.51? (a) 0.4 (b) -7 (c) -2\/9 (d) -4\/3 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1314*x**3 + 51*x**2 - 247*x + 21. Is h(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -7. Suppose -u = g + 2. What are the prime factors of (-3 - u) + 1*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b + 45*b**5 + 4*b - 47*b**5 wrt b?\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -61. Let a = -31 - w. Let g = 12.999986 + a. What is g rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47404441, -47404422, -47404403, -47404384, -47404365, -47404346?\nAnswer: -47404327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*m + 50, -2*t - 5*m + 11 = -9. Let j be (-352)\/(-24) + (-1)\/(-3). Calculate the highest common factor of j and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 48*p + 1. Let i be f(2). Let s = 92 - i. Let u(q) = -q**3 - 6*q**2 - 3*q + 4. Calculate u(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1296, -1305, -1316, -1329, -1344?\n\"Answer: -x**2 - 6*x - 1289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80564 and 1082?\nAnswer: 43585124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 1. Let c be (-4)\/s - (-14)\/3. Suppose c = x - 10. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:45 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l - 8. Calculate y(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 926 + -1807\/2. Let l = -4102867555\/1971468636 + -1108\/781089. Let k = -1\/1262 + l. Find the common denominator of k and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 - (0 - (3 + 1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -469, -407, -209, 131, 619, 1261, 2063, 3031?\nAnswer: 4171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - -22. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 0. Suppose 0 = -v*c + 4*c. Let z be 5 - (c + -2 + 2). Solve -3*r + 6*r = -z*g + 10, -5*g + 2*r = 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3379352?\nAnswer: 2, 641, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q**2. Let m(y) be the first derivative of y**3\/3 + y**2 - 1. Let u(g) = 3*g**2 + 5*g. Let l(i) = -10*m(i) + 4*u(i). Determine l(v(c)).\nAnswer: 98*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 733906761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49804211?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -19*h**3\/6 - 459*h. Let y(j) = 6*j. Calculate y(v(t)).\nAnswer: -114*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062 rounded to three dps?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11555 - -11563. Sort 0, -2, 0.03, 4, d.\nAnswer: -2, 0, 0.03, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.6 - -6.6. What is the nearest to c in -4, 6\/7, -0.4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3\/4 (b) -1\/6 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6 + -1356.\nAnswer: -1354.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**2*z**3 + 3*r**2*z**2 + 5*r*z**3 + 2*r*z - 32318*z**3 - 3*z + 9236 wrt z?\nAnswer: -24*r**2 + 30*r - 193908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1251647+-4\nAnswer: 1251643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 562 and 3299783.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.316 + 0.054. Let r = l - -0.63. What is the nearest to -1\/2 in -1\/4, -4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 77 = -2*t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1919 - 3.2?\nAnswer: -3.0081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 11434311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbl when three letters picked without replacement from lblmgglggggllgggg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9*(-4)\/12)\/5)\/1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**2 - 13*f + 208. Calculate a(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52698 = -56*d + 62*d. List the prime factors of d.\nAnswer: 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60015880 is divided by 1921.\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2919847 is divided by 973279?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/6)\/((-1)\/(-3)). Let h = 6 - 3. What is the greatest common divisor of n and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*g**3 - 4*g**2 + 36*g?\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0336 * 0.134.\nAnswer: 0.0045024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7938 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 411 - 677. Let t = w + 178. Let k = 87.99999933 + t. Round k to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 - 2. Let k be (-4)\/5*(-120)\/16. Let m(z) = -2*z**3 + 2. Let h(s) = k*g(s) + 5*m(s). Differentiate h(v) wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 673242012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s**5 + 213*s**4 - 878*s**3 + 1196*s**2 - 24*s - 704 = 0.\nAnswer: -8\/13, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, n: 6}. Give prob of sequence nhn.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 1, 23, 53, 91, 137, 191?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 42*q. Let a(i) = -3487641 + 3487641 - 37*i. Give a(b(d)).\nAnswer: -1554*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -426, 5 in ascending order.\nAnswer: -426, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from rtitiirqjjrttxj?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 2. Let p be q(6). Let f = -1480 - -1486. Calculate the greatest common divisor of p and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*i**4*k*w - 10516*i**4*w + 14*i**3*k + 2295*i**2*k*w - 10152*i*w wrt i?\nAnswer: 456*i*k*w - 252384*i*w + 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 7821.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -11*x + 6. Let i(k) = 99*k - 55. Let c be ((-12)\/(-5))\/(68\/20 + -3). Give c*i(o) + 55*z(o).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by (-1 + (-3 - -3))*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2. Let z(r) = 3*r - 6*r + 5*r + 13*r. What is c(z(b))?\nAnswer: -675*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250441.\nAnswer: 250441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.93 (b) -376\/21 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -6871, 212, 1 in increasing order.\nAnswer: -6871, -1, 1, 3, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4514, -8650, -12776, -16898, -21022, -25154, -29300?\nAnswer: -33466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 3*h**2 + 2*h. Let a be b(2). Let q(k) = -181*k + 58*k + 60*k + 6 + 64*k. Calculate q(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*b - 537 = -520, -3*a + 7*b - 36 = 11*b for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/3 + -3 - 7. What is the closest to 0 in -5, -2\/3, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*k + 24, -2*k + 68*g - 11 = 65*g. Solve -4 - k = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -1)*(-21198)\/(-6). Let g(i) = 1160*i**2 - 5*i - 38. Let y be g(-3). Let t = y + f. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 2. Let t(i) = -46*i**2 + 36*i - 56. Let l(j) = 3*j**2 - 3*j + 4. Let w(f) = 12*l(f) + t(f). Let o(a) = -a**2 - 1. What is n*w(u) - 8*o(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a week?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2757.8535 and 0.5.\nAnswer: 2758.3535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 20*z**2 - 25*z - 87. Let s(o) = -5*o**2 - 6*o - 22. Let r(p) = 9*s(p) - 2*w(p). Let q(j) be the first derivative of r(j). Solve q(h) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q + 13. What is u(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33350 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/65877 and -73\/44881059?\nAnswer: 314167413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(10 - 7) + 125\/125?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2446)\/(-4) - -4 - 42\/28. Let f = t - 599. Calculate the greatest common factor of 1065 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 39.391 (b) -101 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 1. Let c(o) = -2*o**2 + o - 7. Let p be (-40)\/16*(-2)\/5. Let t(f) = p*c(f) + 6*w(f). Let x be ((-8)\/(-16))\/(2\/4). Give t(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14236 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: Is 206071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-502)\/(-8) + -1 + 636\/(-848)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 11. What is z(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 125380.54 and 0.04093.\nAnswer: 125380.58093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b = -7 - 3 - 17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3853.67 and -678?\nAnswer: -2612788.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 7 - 7. What is the closest to w in 5, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 14*v**2 - 13*v - 28. Let m be i(15). Suppose -m*a - 51 = -5*a. Calculate the remainder when 66 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*925.\nAnswer: -925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**8\/4480 - 5*f**4\/12 + f. Let j(y) be the third derivative of p(y). Solve j(l) = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 83313*f**2 + 2*f**3 - 83313*f**2.\nAnswer: 2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 >= -10803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 189*t**2 - 18*t. Let k(m) = -6*m. Give n(k(c)).\nAnswer: 6804*c**2 + 108*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38390963 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*x - 34492 + 46*x + 34491)*(7*x**3 - 7*x**3 + 7*x**4).\nAnswer: 826*x**5 - 7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*h**3 + 23*h**2 - 22*h**2 - 6*h**3 wrt h?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/13)*k**(-1\/4))**46)**49 assuming k is positive.\nAnswer: k**(34937\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.003 (b) -4\/5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r - 73*r + 85*r - 34*r**2 - 23*r.\nAnswer: -34*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 5*x**4 + 43*x**3 - 8*x**2 - 40*x**3 + 3*x**4 + x to r*x**3 + k*x**2 + h*x + b + y*x**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 5*v**2 + 4*v - 4. Let t be k(-3). Let i be 6\/10 - (t + (-104)\/10). Let o(m) = m**2 - 10*m + 4. Give o(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35.54 - 0.54. Let i = -33 + n. Let s be 2 + -3 + (-1 - -3). Sort -0.6, s, i in increasing order.\nAnswer: -0.6, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12295 = 2*g + z, -2*g = -3*z - 0*z + 12291. Let h be (-28)\/(-70) + 49267\/(-5). Let m = h + g. Round m to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = -6. Let u = 9 + p. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -60 - 84. Let m be (-18 + z)\/(-2 - (-48)\/27). Suppose 4*y - y = 15. Solve -y*q = -m - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-44)\/(-16) - 3)*-3. Let p = 880.5 + -881. Which is the closest to 0? (a) 5 (b) v (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-24) + (-136)\/320 - -1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-120)*-4*10. Determine x, given that -13*x**h + 15 + 9*x**2 - 20*x + 9*x**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.04, -0.048, -2\/3, -0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49b7 (base 16) in base 5?\nAnswer: -1100441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m*s*z**2 + m*s*z + 17*m*z**2 + 4*m*z - 2*m - 101*s*z + 5*s - 1979*z**2 - 3 wrt z?\nAnswer: 4*m*s + 34*m - 3958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 13. Let q(m) = m + 12. Let u(b) = -5*n(b) - 6*q(b). Let k be u(3). Let f = k + 6. What is the greatest common factor of 55 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - z + 2. Let r(o) = -2*o**2 + 2*o - 2. Give 3*d(b) + 2*r(b).\nAnswer: 2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2330612 by -582653.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 7. What are the prime factors of k(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - -2. Let u = 68 - m. Suppose 0 = c - 3*c + u. Calculate the highest common factor of 10 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = 4. Suppose 4*i + 11 = -0*k + k, n*i - 5*k = 5. Which is the closest to -1? (a) i (b) -0.5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6193 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6390 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 101*j - 105*j = 30, i + 2*j - 5*j = 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5736 and 279.\nAnswer: 533448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 - 0.44. Let k = h + -1.5. What is the biggest value in 2, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11616)\/(-81312))\/(2\/(-1036)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 16. Let g be 6452\/(-4 - 18\/z). What is g rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 15 + 91)*(3*l**3 - 2*l**3 - 3*l**3).\nAnswer: -110*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a + 10. Let g(o) = 4*o - 7. Let r(j) = -6*j - 17. Let x be r(-3). Let p be (-280)\/(-35)*(x + -2). What is p*g(f) - 5*c(f)?\nAnswer: -2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2, 0*h + 2*h + 4*b = 0. Suppose -5*m - 4*z = 21, -4*z - 8 - 10 = h*m. What is the second smallest value in 3\/2, 2\/15, m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*1.4.\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20058\/14 - 205\/287 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 272 and 61829.\nAnswer: 989264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*f + 153. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 18*d**2 - 7*d + 7. Let g(n) = -28*n**2 + 11*n - 11. Let b(p) = -7*g(p) - 11*j(p). Let h(l) = 6152*l. Determine h(b(r)).\nAnswer: -12304*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 29.3. Let u = -2.2913 - -0.2913. What is the third biggest value in u, 7\/5, 1\/6, n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 17059041.\nAnswer: -1\/17059041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1409961*s*t**2 + 40299*s*t + 2*s + t**2 + 21*t - 1 wrt t.\nAnswer: -2819922*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*a = 14, -3*a - 21 = -2*z + 6. Let -10*u**4 + z*u**5 - 5*u**2 + 30*u**3 + 23*u**2 - 11*u**5 - 65*u + 2*u**2 + 30 = 0. Calculate u.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 196*j - 211*j - 150 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**2 - 4*s**2 - 887*s**3 - 6*s**2 + 907*s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 589?\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 134\/14 - (118\/(-14) + 8). Solve r = 11*r + z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (((-18)\/(-4))\/3)\/((-3)\/(-14)) and 101.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306196 to the power of 1\/2, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -8*u - 7*u. Let p(x) = 96*x - 29. What is the hundreds digit of p(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10131 (base 5) to base 16\nAnswer: -29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 35 = 11*w + 15, -40*w + 86*w - 5*j - 22 = 44*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -365 times -743\nAnswer: 271195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.38671531 + 1.588.\nAnswer: 1.20128469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1003366*r*s**2*x**4 + r*s**2*x**3 - 6*r*s*x**2 - 2*r*x + 7*s**2*x**2 + s**2 - 11*s*x**2 - 5*x**2 wrt x?\nAnswer: 24080784*r*s**2*x + 6*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 385 + -384.99998064. What is t rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8580676 and 10664.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*i = -3809 + 2993. Solve -k + 2*k + 24 = -5*p, -5*p = -k + i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.52328 meters to centimeters.\nAnswer: 3752.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (68477 - -372) + (-2)\/(5\/(-7) + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*(-4 + 3 + 2). Let j(p) = -p**3 - 6*p**2 + 7*p. Let o be j(f). Suppose 2*k = 2*i - 10, 2*i - 3*k - 11 + o = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -7, 1\/2, -0.5, 5\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 + w**3 - 5*w**2)*(-w - 2*w - 2*w) + (-6 + 4 + 0)*(w**4 - 3*w**4 + 3*w**4).\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 633 + -631. Which is the nearest to 3? (a) r (b) 3 (c) 1\/8 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*f = -3*o + 166*f + 210, -70 = -o - f. Calculate the greatest common divisor of o and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 129 = -4*q. Suppose 0 = -3*y + 3*h + q, 9 = -3*h - 6. Is 34 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*g - 5568714 + 37728714. What is g rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 4*y + 2. Let c be d(-5). Let g be (0\/(1*c))\/1. What is the third derivative of -3*h**6 + 0*h**6 + g*h**6 + 2*h**2 wrt h?\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 97\/((-7372)\/589)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + -1. Let x = 26644\/7 - 399674\/105. What is the nearest to -1 in b, 0.5, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164924*f - 164929*f = -4*v - 17, 2*f + 16*v = -46 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 33*f - 34. Let h(b) = -16*b + 17. Let r(p) = -5*h(p) - 2*t(p). Is r(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99260)\/10010 + 12\/(-22) - -10?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6539, -11764, -16989, -22214, -27439, -32664?\n\"Answer: -5225*y - 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 384 and 6?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 5. Let c be k(4). Let g be -10*c\/(-6)*-1. Suppose -8 = -s + 5*p - 2*p, -5*s = g*p. Solve 0 = -i + j - 1, -i + 5*j = s*i + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 26.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/1964 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*g + 10, 3*n + 25 = -g. Let d = -8 - n. Solve 4*y - d*p = -7 - 9, 20 = -5*y - 2*p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g + 0*g)*(0 - 1 - 1)*(-377 + 745 + 380*g - 368).\nAnswer: -760*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -3 - (8 + 0 - 43)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4552443l to millilitres.\nAnswer: 455.2443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 - 22 + 48 + 2*t as x*t + i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 1:18 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -6. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 + 10*v + 2. Let w be i(-4). Let b be 4 + (-279)\/15 - 4\/w. What are the prime factors of (-3)\/(5\/b*1\/2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from pdpuducudubpumubpmm?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9136935*b**3 - b**2 - 3*b - 3. Let n be h(-1). Let f = -14736934 + n. What is f rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 11. Let j be o(-6). Solve j*g + 24 + 1 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5*f = 20, 5*h - 119*f + 120*f - 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*y - 16. Let x = 2 + y. Suppose 4*f + 4 = -0*f. Sort -4, f, x in descending order.\nAnswer: f, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -393, -1085, -2929, -6501, -12377, -21133, -33345?\n\"Answer: -96*g**3 - 20*g - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = -2*a. Let g(v) be the second derivative of v**5\/20 + v**4\/12 - v**3\/3 + 3*v**2\/2 + 16*v + 1. Calculate g(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 34 + 22 = 0. Is (-541)\/n + 4\/(-48) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1113*l + 1238*l - 579*l = 17909 + 37023 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 101?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5383, -21366, -48011, -85318, -133287, -191918, -261211?\n\"Answer: -5331*b**2 + 10*b - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**5 + 18*x**4 - 100*x**3 - 1894*x**2?\nAnswer: -120*x**2 + 432*x - 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 15*z**2 - 14*z + 2. Let c be g(-14). Suppose -c*n - 5*b + 12 = -3*n, -5*n + 21 = 2*b. Solve -2*l + 14 = n*y - 8, 0 = 5*l - 2*y - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 32572388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + (sqrt(98) - (sqrt(98)*1 + -1)))**2 + -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3778657933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -0.3, -7\/4, 13, -1\/2, -72?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65488432237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -25*26791617\nAnswer: -669790425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631135929?\nAnswer: 149, 1871, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/54 + (-2)\/6. Let 0 + 1\/3*f**2 + 2\/3*f - h*f**3 = 0. What is f?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.332 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(-78) + 251459\/169 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000300313 to six decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 greater than or equal to 8252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + (-24)\/((-1104)\/(-1495)))*(-8)\/(-112)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, -13, -6\/7, 1\/2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40576312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16535812 is divided by 16535808.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 148*24\/128 - (-6)\/(-8). Let g be 44\/10 - (-6)\/(-15) - -2. Calculate the greatest common divisor of g and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-4)\/((-416)\/13))*(-4)\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 660598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 times -0.726?\nAnswer: -313.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**4\/4 + n**3\/2 + n**2 + 11*n. What is d(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97 and 45299?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = 23*t + 17 + 45 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2782*i - 2759*i + 345 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 68508*o = 68507*o - 10, -10*f = -4*o - 52 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2657155 + 6094055 = 193*a. What is the ten thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 28881994?\nAnswer: 28881994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7.3 times 76725\nAnswer: 560092.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -135, -350, -561, -768, -971, -1170?\n\"Answer: 2*i**2 - 221*i + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - 4*w + 3. Let n be o(2). Suppose -n = -4*g + 5. Suppose -g*r + r = -98. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 41*l**2 - 8*l + 8. Let h(g) = 14*g**2 - 3*g + 3. Let x be (132 - 133) + 8\/2. What is x*b(o) - 8*h(o)?\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/(6 - 2*54\/24). Solve t - j = 3*b, -3*t - b + 0*b + 10 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**7\/2520 - v**6\/240 - v**5\/20 - v**4\/24 + 3*v**2. Let k(i) be the second derivative of z(i). Calculate k(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/48)\/((-8)\/80)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y - 279. Let x = -732 + 624. Let g = y - x. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - v**2 - 2*v - 1. Suppose 0*l = -2*l + 4. Let h be m(l). Let y be -3 + 3 + 5\/h. Is y at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 7229*y - 7225*y + 2, 2*y - 6 = 0 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzo when four letters picked without replacement from zozz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**4*u - 5*k**4 - 12*k**3*u + 45*k**3 - 54712*k**2*u + k**2 + 8*k*u - k wrt k?\nAnswer: 96*k*u - 120*k - 72*u + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4103*h - 14*h**3 + 2048*h + 2055*h.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 31828700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5, -t - 3*h + 271 = 64. Let c be (450\/(-4))\/(8\/t). What is c rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 + 1. Let g be q(0). Let t(f) = 3*f - 1. Let p be t(g). Suppose p*n = -2 + 122. Calculate the highest common factor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + 18*k**2 - 17*k**2 + 5*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)*u**(-1\/10)\/u*u)**(-1\/30)\/((u\/(u*u**(-3\/7)))\/u**(2\/9)*(u**4\/u)\/u*u\/u**1) assuming u is positive.\nAnswer: u**(-13459\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35602\/9 + 3956. Factor 5\/9*r**3 + 0*r + 1\/9*r**5 - v*r**2 - 4\/9*r**4 + 0.\nAnswer: r**2*(r - 2)*(r - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 75*h**2 - 493*h + 979. Give l(81).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/5 + (-17984)\/2810?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -23129?\nAnswer: 2\/23129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*b - 0. Let a(z) = 2*z + z**2 + z**2 - 1 - z**b. What is a(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 4*l**2 + 5*l - 3. Let w be z(5). Let m be (0 - w - 1) + 2. Solve m*c - 5 = -g - 18, -4*g - 8 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 + -94. Suppose q + 19 = 4*s. Let h be 3 + -3*(-218)\/s. Calculate the greatest common divisor of h and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 2*n + 2*n - 4*n**3.\nAnswer: -4*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 593354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000060156748 to seven dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 4, p: 1, s: 1, f: 2}. Give prob of sequence sq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3709, -7417, -11125, -14833, -18541, -22249?\nAnswer: -25957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 72, 121, 192, 291, 424, 597, 816?\n\"Answer: a**3 + 2*a**2 + 20*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 914 divided by 375.\nAnswer: 914\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/16 - (-26)\/36*1. Let w = 2\/9 - y. Is w > -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28709 is divided by 139?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 24. Put -5, -6, q in decreasing order.\nAnswer: q, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1249\/9 - 1412\/9. Let u = -293 - p. Which is smaller: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1795195 is divided by 447?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**3 - o**2 + 5*o + 4. Let u be n(-2). Suppose -46*x + u = -40*x. Solve x*w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 2*k - 24, 3*r - r = -3*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -24. Round r to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 103 + 422?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(6\/5))\/z*z**(1\/27)*z)\/(((z*z**(-1\/5))\/z*z)\/z*z\/z**(-4\/7)) assuming z is positive.\nAnswer: z**(1763\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/12 + 8\/6. Let l be s + 0 + (-1)\/(-1). Solve t + t = -l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-36)\/4 - 30*35\/((-525)\/(-66))\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8*k = -8. Let w be (5*1)\/(3\/(-6)). Let u be (-10)\/(-6)*(-2)\/w. What is the third smallest value in u, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usvnnunuqovssvvss. Give prob of picking 1 u, 1 q, and 1 v.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 40\/8)\/(36\/6228126) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**6\/24 + s**4\/2 - 2*s**2 + 50. Solve r(a) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -2)*(1 + 2). Let w be ((-92)\/j)\/((-1)\/3). Suppose w = 2*g - g. Is g a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -13. Let u = -23 - -28. Solve 0 = u*c + o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) - sqrt(1440)*-2)\/((sqrt(896) - sqrt(56))\/sqrt(7)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z + 81*z = 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -216453 + -172?\nAnswer: -216625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x + 26*x = 0. Is -1\/28 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cffcttccc. Give prob of picking 1 f and 1 c.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 3125385.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -455985*h**2 + 3005*h**3 + 294349 - 5*h**4 - 146498 + 1346995*h - 495528 - 546333 = 0. Calculate h.\nAnswer: 1, 2, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21615931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18204 + 48205. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -17. Let w(n) = 4*n**2 + 3*n. Let k(b) = 13*b**2 + 10*b. What is t*k(z) - 7*w(z)?\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grgrr. What is prob of sequence grg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h. Let g(i) be the first derivative of -2\/3*i**3 + 0*i + 0*i**2 - 7. What is z(g(m))?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -217\/14437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 2*p - 27 = -s + 11, 0 = 20*s - 24*s + 7*s - p + 14 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*x - 194*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*s - 6, -49*s + 48*s = 5*f - 13. Solve f*a - 2*z + 13 = 9, 3*z + 3 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -1\/5, 2\/7, -2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11851\/9 - 1313. What is the common denominator of -85\/78 and m?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -380 from 126832035.\nAnswer: 126832415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Suppose x - i*x = 0. What is the closest to 0.2 in x, 4, 4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wchcwcchw. Give prob of picking 1 c and 3 w.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + (2\/3)\/((-77175036)\/4823442 + 16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + d + 777 - 212, -4*x - 5*d = 585. Sort 4, x, -2, 1, 7 in descending order.\nAnswer: 7, 4, 1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-3) + 0)*3. Solve v*q = -8 - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 11500 = 2572. What is the lowest common multiple of c and 20?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 52902, 1, 13 in increasing order.\nAnswer: 1, 6, 13, 52902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15821 and 6085?\nAnswer: 79105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/4 - 3)\/(-14). What is the smallest value in 0.3, h, 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m*m*m**(-3)*m))))\/(m\/(m*m**(-1)*m*m))*(m\/(m**(-1\/6)\/m))\/m**(5\/2)*(m**2)**(-2\/53)*(m**(-2\/5))**(-17) assuming m is positive.\nAnswer: m**(6671\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 58. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088920 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -94, -146?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - g = -10 + 3, 0 = 4*r + 2*g + 42. Let t(u) be the first derivative of u**3 - 7*u**2 - 3*u - 2. What are the prime factors of t(r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 58.97476 millennia?\nAnswer: 5897.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80.559 - 45.479. Which is bigger: 1\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.1, 5, -0.3, -1\/2 in ascending order.\nAnswer: -2, -1\/2, -0.3, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Let i = 2.4 - f. Let j = 3.21 + -3.01. Which is the nearest to j? (a) 2 (b) i (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76357632482 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*j + 19, s + 3*j - 5 = 2*j. Let d be (3 + -288)*(-16)\/s. Suppose -5*h = 4*v - 3043, -2*v - h = -v - d. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -870\/7 + 124. Which is the biggest value? (a) -1 (b) f (c) 90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1317*x = 11524*x + 667732 for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/10*(-11)\/22 and 109\/812?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 + -1 + 0. Suppose 0 = 2*i + 4*i + 204. Let o = i + 34. Is o greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Let l be (-168)\/(-11)*4 + 14\/(-154). Suppose -37 = -a*s + l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3477 + -163434\/47. Is -1 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/36 + 20\/(-9). Is -3*1 - 60\/z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 4 + 3)*(f - 1 + 1) + ((23 + 2 - 1)*(-4 + 1 + 1) + 2 + 10 - 8)*(-2*f - f + 4*f) in the form g + m*f and give m.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 4*r - 2. Let g be o(-5). Let v = -8 - -6. Is (-28)\/(-3) - v\/g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3612 = -5*b, -432 = -4*x - 5*b + 6782. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 divided by 68?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s + 0 + 0 + 0. Does 7 divide x(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 2790?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/4369872 and -97\/182190048?\nAnswer: 2368470624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 359.86 - 359.66. Which is the closest to 13\/10? (a) -6 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 14*c + 19. Suppose 0*f = -6*f + c. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3344084 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.27 or 72286?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27469115651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3660074 - 915021 - 915013 - 2*d - 915017 - 915023.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b + 3*w = 43*b + 1, 0 = b + 2*w - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1300) + (sqrt(1300) + 1 + sqrt(1300) + sqrt(1300))*3 + sqrt(1300) - sqrt(1300)) + -4))**2.\nAnswer: -3200*sqrt(13) + 2080016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*(sqrt(2) - (sqrt(44)\/sqrt(2))\/sqrt(11)))**2*4*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 12*w**2 - 8*w - 3*w**2 - 1 - 8*w**2. Let m = 8 - 2. Give h(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 + 82 - (45 + -60).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27870000 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**3 + 114*q**2 + 145*q + 1 wrt q?\nAnswer: -18*q + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*u = -3*l - 65, 8*l + 62 = 5*u - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -335 + 205. What is c rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70589447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -311667\/38360 + -1\/4795. Let h = -3245 - -77951\/24. What is the common denominator of h and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/49434 and 85\/2354.\nAnswer: 49434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6158.0229 + 1751.\nAnswer: 7909.0229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 459?\nAnswer: 45.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -3508.84\nAnswer: -70.1768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -373.3 - 58021.8618.\nAnswer: -58395.1618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -117*l**3 + 3*l**2 - l - 1. Let y be n(1). Let x = 112 - y. What is the greatest common factor of x and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2170486*l**4 + 8*l**2 - 22761140 with respect to l.\nAnswer: -8681944*l**3 + 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.13 and 91681.\nAnswer: 103599.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6) - (sqrt(24)\/sqrt(4) - sqrt(6))) + 2*sqrt(11)*-3.\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6237 + -3?\nAnswer: -6242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14024, 112214, 378746, 897794, 1753532, 3030134?\n\"Answer: 14029*p**3 - 3*p**2 - 4*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1384557 + -7?\nAnswer: 1384550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**5\/40 + z**4\/6 + 2*z**3 + 6. Let n(q) be the third derivative of h(q). What are the prime factors of n(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 430.34, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -562977*-1.6\nAnswer: 900763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -301 + 303. Solve l*r + 3 = 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 63d5 - 10?\nAnswer: 63c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -61 and 2243010457900.\nAnswer: 2243010457839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, n: 3, w: 4}. Give prob of picking 2 w and 1 e.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -200 + -22415?\nAnswer: -22615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 1, l: 4, f: 3, r: 4, t: 1}. What is prob of picking 1 l and 2 r?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 20*o - 4*g - 410 = 0, 0 = -2*o - 3*g + 787. List the prime factors of o.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30592 and 9472.\nAnswer: 2263808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 150\/(-20)*(-8)\/54. Factor -14\/9*o**3 - l*o**2 + 4\/9*o + 0.\nAnswer: -2*o*(o + 1)*(7*o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*3\/6*6. Let w be (0 + (-2)\/7)\/(-1). Sort w, u, 0 in increasing order.\nAnswer: u, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 4*j + 7. Let y be x(-5). What is the third derivative of 2*v**2 + y*v**4 - 3*v**4 + 0*v**2 wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101010110010100 (base 2) to base 4.\nAnswer: 231112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39903, 319235, 1077425, 2553903, 4988099, 8619443?\nAnswer: 13687365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kctcccmk. What is prob of sequence cmtk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77233*s**2 - 25744*s**2 - 25740*s**2 - 25741*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322371171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1139, -1085, -1023, -959, -899?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, -5, -13, -23, -35?\n\"Answer: -o**2 - 3*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -173696*r - 3. Let a be t(-4). Suppose -3*j = 5044781 - a. Round j to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d12 - 25125?\nAnswer: -28e37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 2. Let v be 60\/(-16) + 1\/r. Let f be (-1 - -3)\/(v\/(-10)). Solve 15 = 5*q - 2*t, -3*q + 4*t + 0 = f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37287 and 81479?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2*k + 11, -125 = -5*p + 16122*k - 16067*k for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.299 or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 27 - h - 10 - 16. Let u be (-14)\/1 - -1*2. Let i(k) = 10*k - 5. Let o(r) = 10*r - 4. Let a(q) = 6*i(q) - 5*o(q). Determine u*v(f) - a(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -102*h + 2138. Calculate r(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -12.6. Let q = -6 - b. Let z = q - 0.5. Which is smaller: z or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81514.54 centuries to decades.\nAnswer: 815145.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(n**2 - 2*n**2 + 0*n**2)*(2*n - 3*n + 4*n)*(3 + 0 - 4).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 169675873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1647.7534 - 1648. What is d rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**4 + 4*d**3 + 4*d**2 - 6*d. Let u(q) = q**4 - q**3 - q**2. Let z(y) = s(y) + 4*u(y). What is the second derivative of z(i) wrt i?\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + a**3 + (2 + 2*a**3 - 2)*(-1 - 1 + 0) + 0 + 0 + a**3)*(-46 + 46 + 32*a).\nAnswer: -64*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-8)\/6)*1557\/(-6). Let h = 479 + q. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 4*x + 0*x + 1 + x - 1 + 3*x + 2*x - 4*x - 2*x + 3*x - 3*x + 2*x - 3*x + 3*x + (-1 - 2*x + 1)*(-1 - 2 + 1) - 3*x - 2*x + 9*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = 0, -3*m + 853 = 28*l - 27*l. Suppose -m*v = -287*v + 1. Solve 0 = h - 2*r - v + 2, 17 = -3*h - r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 - (-28 + -13 + -6).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4\/5, 0, -3 in decreasing order.\nAnswer: 2, 4\/5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(252)\/sqrt(432))\/(sqrt(21)\/sqrt(12)).\nAnswer: sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 688788419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.345 + 0.496. Let s = 0.649 + h. Let x = 43589\/408 - 855\/8. Which is the third biggest value? (a) x (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + y + 1)*(3 + 2 + 0)*(-y**4 - y + y).\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(8\/(-1) + 6). Solve u = -35*b + 28*b + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*v - 5*h + 164, 85363*h - 85358*h - 160 = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120338 is divided by 119500.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1015633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Suppose n*h - 9 = -5*r, 21 = -0*r + 5*r - 3*h. Does 8 divide 2 + -8 + r + 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 3, 1, 5 in descending order.\nAnswer: 5, 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1198*2\nAnswer: 2396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17643104 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5148043 - -2.03480568. Let a = l + 0.48. Round a to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*o**4 + 3*o - 2*o**4 - 3*o + (2*o - 3 + 3)*(-2*o**3 - o**3 + o**3))*(-5*o + 2*o + 2*o + o + 4*o - 4*o + (o - 5*o + 2*o)*(1 - 2 + 0)).\nAnswer: -18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15500 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -26. Let m be (t\/(-2))\/((-6)\/60). Let w = m - -28. What is the remainder when w is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 30 = v. Let y(s) = -s**2 - 19*s - 16. Let b be y(v). Suppose -3*z = -79 - b. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/9 - (-1)\/3. Suppose j = -5*a + 7*a + 125, -5*a - 315 = -3*j. Sort s, -3, a in decreasing order.\nAnswer: s, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 269 = -x + 220, 0 = 2*x + h - 996. Let y = x + 1030. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 4*h + 6, -2*h + 4 = 2*g. Suppose -x = 5*i - 0*x - 10, -g*i = -2*x - 8. Suppose 6*w = i*w + 280. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2508 and 964744.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 26*i + 29. Let w be c(-24). Let q = w + -73. Let k(f) = 3*f**2 - 6. Let x(l) = 3*l**2 - 7. Give q*x(p) - 5*k(p).\nAnswer: -3*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -60\/13 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -27. Calculate the highest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131022 divided by 21837\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1474 divide 68974356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2531.\nAnswer: 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + 9*i. Let q(f) be the second derivative of 0*f**2 + 1\/3*f**3 + 0*f**4 + f + i*f**5 + 0 - 1\/30*f**6. Find the second derivative of q(b) wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 745*v = 749*v - 3*p - 74, -p + 83 = 5*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is (22061\/195 - 115)*(-10)\/21?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncg when three letters picked without replacement from {n: 3, q: 1, c: 1, g: 2, o: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3005 - -7.3005. Let z = -13447 + 13454.013. Let k = y - z. Which is smaller: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -60999*z**2 - 1. Let c(q) = -q**3 - 4*q**2 - 3*q - 2. Let j be c(-3). Let g = -3 - j. Let v be u(g). Round v to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -921403343 + 921403337.39999873. Let p = q - -5.6. What is p rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2, -17, 39, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -168 (b) -2\/3 (c) -208\/9 (d) -0.2 (e) -4 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35270.\nAnswer: 2, 5, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + 1c5?\nAnswer: 1d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142243 is divided by 1946?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, c: 2, l: 6, i: 1, a: 4}. Give prob of sequence cca.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 5*m - m)*(-2 + 2 - 2*m) + (2 - 5 + 1)*(-2*m**2 + 4*m**2 + 0*m**2) - 2*m**2 + 3*m**2 + 4*m**2 as q + w*m + c*m**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30030 and 1386.\nAnswer: 90090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5876 divided by -4\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -783672*q**4 - 4*q**3 + 3*q**2 - 41*q - 434253?\nAnswer: -9404064*q**2 - 24*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 812017958 by 711049.\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 369*f**4 + 3*f**3 - 3*f**2 + 23983*f wrt f?\nAnswer: 4428*f**2 + 18*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 - 24648*u**3 - 303219212*u**2 + 13377455520*u - 147283353800.\nAnswer: -(u - 22)**2*(u + 24670)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-30) + 1\/3 - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 326981 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17001441 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, e: 1, f: 7, q: 1, j: 3}. What is prob of picking 1 q and 3 f?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -377.5 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 74800 (b) 2.8 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 64 + -82 - -9 - (0 + 5)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -13 - 13. Solve 2*x - 3 = -m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -36*l + 2303. Determine t(64).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*(-448)\/1008?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*n - 3116 + 3248 = -3698 - 7390 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - (16 - (234 + -121)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10279127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r + 5*r + 7*r - 1 + 3 to a + l*r and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 23 + 0*i**2 - 16*i - 15\/2*i**4 + 0*i**3. Differentiate m(b) with respect to b.\nAnswer: -90*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 (base 11) to base 6\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) + 11\/(-12). Let l = 1.8459 - 2.0459. Which is the closest to s? (a) -5 (b) l (c) 1\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3 - 0. Let h(x) = x**2 + 4*x**3 - 2*x - 3 - 1 + 5*x - u. Is h(2) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**5 - 28540*h**4 - 52052392*h**3 - 4086817016*h**2 - 99649248020*h - 670501393100 = 0.\nAnswer: -3527, -35, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*j - 3*j = 80, -i + 5*j = -16. Solve 0 = -2*v + 4*g + i, 2*v + 5*g = -0*v - 29 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3997194388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1224.92 - -1247. Round a to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 437*r + 2676. Calculate the remainder when 115 is divided by x(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*f + 62, f - 58 + 48 = -u. Suppose -4*l - 7080 = -u*l. What are the prime factors of l?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2222 + -2185. Which is the biggest value? (a) 0.01 (b) 3 (c) i (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 + -17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*d + 3 - 15, u - 20 = -5*d. Suppose 3*c + 13 = 3*s + d*c, 2*c = -5*s + 23. Suppose -2*i + 4 = -s*y - 30, 10 = 2*i + 3*y. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64899 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 4*n - 16, -3*n = 2*a + 5 - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a - 3 + 1 + a + 0*a. Let m(b) = -8*b - 4. Determine 6*m(j) - 11*z(j).\nAnswer: -4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 + 39*f - 267. Is a(19) a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2 - 382*u - 36481 = 0.\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*d - 1020, 3*r - 1012 = -r + d. Suppose 2*z + r = -0*z. Let h be (-4)\/(-6)*z\/(-12). Solve -4*g = b - 4 - h, b - g - 1 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - y**2 - y + 2. Let o be p(-2). Let u be ((-20)\/(-6))\/(o\/12). Let v = 13 + -7. Is u at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d + 9. Let h(n) = -8*n - 10. Let a(q) = -2*h(q) - 3*y(q). Let s be 28*56\/(-98) + (-240)\/(-12). Let l(c) = 4*c + 6. Determine s*l(u) + 3*a(u).\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 513359 to the power of 1\/2, to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 54. What is the nearest to -2 in -1\/2, -0.2, u, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/61540 and 113\/1034?\nAnswer: 31816180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(56\/42)\/(6\/27). Let p = 2\/52107 - -955247\/1250568. Find the common denominator of p and (-2)\/35*(-220)\/j.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m - 2*b = -25*m - 280, 5*b = 3*m - 884. What is the greatest common divisor of 224 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1017 < -384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10618593, 1, -3, -4 in decreasing order.\nAnswer: 10618593, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 33*p**2 - 90*p.\nAnswer: -p*(p - 30)*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f + 1. Let y be c(4). Suppose -v + 0*v = -2*p - y, -3*p - 63 = -3*v. Let k = p - -38. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24376624?\nAnswer: 2, 1523539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31881655?\nAnswer: 5, 13, 73, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 8, 3*v + 7 = p + 1. Let i be 10\/15 - 0 - (-10)\/p. Is i > -7\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 25*r + 200 - 5 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 413 + 383 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -152*t + 76*t + 228. Let g(r) = r**3 - 3*r**2 + 2*r - 4. Let f be g(3). Suppose -4 = f*b - 4*b. Solve -t*w - 3*n = b + 1, -n - 13 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 58*h - 48 - 366 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10, 1\/2, -3, -1\/4, 43\/3, -18, -3\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4440, -4399, -4356, -4311, -4264, -4215?\n\"Answer: j**2 + 38*j - 4479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -5*k - 45, 0 = -35067*k + 35064*k - 2*c - 46 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsgvgvg. What is prob of sequence ggs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1296*c - 42106. Calculate q(32).\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/17 at least 133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 149. Let b(i) = 45*i - 83*i + 36*i. Determine w(b(q)).\nAnswer: 2*q - 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 7*v + 819. Let d = v + 189. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-1752)*96\/(-15)*365\/292?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -352 - (-5)\/(20\/(-16)). Let f = u + 636. Calculate the highest common factor of 35 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*r = -10, 5*m - 6*r + 2*r = 27. Let s(v) = -5*v - 7. Let c(l) = l - 1. Let o(h) = -6*c(h) - s(h). What is the units digit of o(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3.3. Let h be (12 - -2)*-1 - 1. Let m = 11 + h. What is the third smallest value in t, -0.5, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a minute?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9\/(m*m**(-7)\/m))\/(m**3)**49 assuming m is positive.\nAnswer: m**(-131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 6*x**2 - 6*x + 2. Let j(o) = -o**3 + 4*o**2 - 2*o + 1. Let g be j(3). Let h be t(g). Solve -h = 3*v - 2*f, -v - 2 = f + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a decade in months?\nAnswer: 1776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v + 15 = 4*s, v - 5 = -2*s. Suppose 4*m + 1 = 5*z - 1, s*z = 3*m. Factor 2\/3*r**5 + 0*r + 0 + 2*r**3 + 2\/3*r**2 + m*r**4.\nAnswer: 2*r**2*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/5*16\/36*3. Which is the biggest value? (a) -1 (b) -8.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rii when three letters picked without replacement from {r: 6, i: 1, m: 1, l: 1, q: 3, p: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3685, 5 in ascending order.\nAnswer: -3685, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53656417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g - 9. Let v(y) = -y. Let b be v(8). What is the remainder when j(b) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 0*u + 0*u**2 - 1\/3*u**3 + 4. Let p(z) = -7*z. Give c(p(a)).\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2)*m**(-5))\/((m*m**(-1\/12))\/m**(2\/5)))\/(((m\/(m**1\/m))\/(m**(-6)\/m))\/((m\/m**(-6))\/m*(m**(-5)*m)\/m)) assuming m is positive.\nAnswer: m**(-811\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 11 = -3*d - 34, -2*g - 2*d + 34 = 0. Does 10 divide (g\/(-9))\/4*-30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1156*k**3 - k**2. Suppose -5*g = -7 - 13. Let y be p(g). Round y to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -141 and 317?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*p + 470 = -82*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55979641691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19411, 19491, 19723, 20185, 20955, 22111, 23731?\n\"Answer: 13*f**3 - 2*f**2 - 5*f + 19405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 7:09 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 24. Let o be x(32). Let n be 8\/40*6 - o\/10. Solve -19 = 5*m - n*v, 2*m - m = -v - 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5739 = -57*j + 58*j + 3*h, 3*j = h + 17197. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10410 + 10409.996623. What is z rounded to four dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 558 and 0.04122.\nAnswer: 23.00076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1585917?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/95*6620\/1986.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -31*q + 31*q + 217 - 2209*q**2 - 217. Let w(x) = 2*x**2. Give w(a(t)).\nAnswer: 9759362*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18879821*q**2 + 10285949.\nAnswer: -37759642*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4012 or 0.1?\nAnswer: 4012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 4 = 4*q - 2*h, 0 = 4*q + 3*h + 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2 + 3*w - 6 + w**3 - 2*w**2 - 2*w - 2*w**2. Calculate a(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36654, 34848, 33042, 31236, 29430, 27624?\n\"Answer: -1806*s + 38460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-7))\/(14\/(-84))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r - 1\/6*r**3 - 1\/12*r**4 + 0 + 9\/2*r**2. Suppose -27 = 3*w + 254*j - 257*j, -3*w + 27 = 3*j. Calculate g(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1*(-96)\/(-20))\/(14\/(-1155))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p + 38. Let j be a(-12). Is 545 - 32\/(-8)*1\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t. Let b(h) = -15*h**2 - 20. Let i be ((2 - -47) + 4 + -6)\/1. Let s = -27 + i. Let d(m) = m**2 + 1. Let f(g) = s*d(g) + b(g). Calculate p(f(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j**2 + 4*j**2 + 18*j**2 + 3*j + 22*j**2 + 5*j - 73*j**2 + 17*j**2.\nAnswer: 3*j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12592*j - 12466*j + 252 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -123.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4953*n - 7058. Let x(r) = 9912*r + 14126. Let q(l) = -5*g(l) - 3*x(l). Differentiate q(c) wrt c.\nAnswer: -4971","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 + 143. Which is the nearest to 1? (a) 5 (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**2 + 5*i - 3. Let v(q) = 5*q**2 - 4*q + 2. Let g(l) = 4*u(l) + 5*v(l). What is g(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.052 + -0.052. What is the fourth biggest value in -36, d, -5, -0.3?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-30)*76\/(-133).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/34 and -101\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2. Let i(y) be the second derivative of -51*y**5\/40 + 47*y**3\/6 - 76*y + 2. Let q(c) be the second derivative of i(c). Give k(q(a)).\nAnswer: 46818*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*g - 857*g + 1884 = 8148 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 47, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {i: 11, b: 1, s: 1, n: 4, p: 1, t: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -339909*f**3 - 5*f**2 - 29*f + 54195?\nAnswer: -2039454*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/11 (b) -7 (c) -6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-5*4)**2 + 1.\nAnswer: 6801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:21 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**2\/4 - m\/2 + 1\/4 = 0. What is m?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -132, -2, -22, 2, 107 in decreasing order.\nAnswer: 107, 2, -2, -22, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/243*((-1125)\/(-10))\/(-15)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**8\/60480 - r**7\/5040 - r**6\/1080 - r**5\/4 + 24*r**2. Let w(m) be the third derivative of v(m). Factor w(o).\nAnswer: -(o + 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:14 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 18*v - 38*v + 13*v + 5*v. Let j(m) = 3*m**2 + 34. Determine j(k(d)).\nAnswer: 12*d**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 355393 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13348 - -13327. Which is the second biggest value? (a) -1\/6 (b) x (c) -3 (d) 0.5 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 2. Let k(g) = g + 5. Let t(y) = 4*k(y) - 9*m(y). Let w be t(-6). Suppose -w = -2*n - 0*n. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*(0 - 9). Let j = -5 - v. Let n(u) = u + 5. Let k be n(-6). Does j = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15519150, 31038316, 46557486, 62076660?\n\"Answer: 2*r**2 + 15519160*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -46\/37585?\nAnswer: -46\/37585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 + 0.74. Let z = -2879509.1600013 - -2879509. Let r = c - z. Round r to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.4 (c) -0.3 (d) 5\/8 (e) -103\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462 (base 13) to base 8.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9380.171 kilograms?\nAnswer: 9380171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29\/84 - -2\/21. Which is the closest to p? (a) -2\/7 (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2 + 2*g - 8. Let t = 18 - 13. Let k(o) = -3*o**2 - o + 5. Give t*a(u) + 8*k(u).\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160.56 + 183. Let b = 21 - s. Round b to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*g + 25. Suppose -g = -5*z + 7. Solve -z*t - 4*p + 5 = 15, -4 = p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6109, -5946, -5785, -5626, -5469, -5314, -5161?\nAnswer: -5010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179868327, 179868323, 179868315, 179868303?\nAnswer: 179868287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15530627?\nAnswer: 7, 1051, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-14)*4\/(-2). Find the third derivative of 1 + 2 - 4*q**3 - d - 3*q**2 wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3 + 5*d - 7 + 6 - 2*d. Let i(v) = 9*v - 11. Suppose -h - 2*h = -24. Let k(s) = s**3 + 2*s**2 - 7*s + 1. Let o be k(-4). Give h*x(q) + o*i(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-21) - (-247)\/(-7). Let z be (-126)\/v*10\/6. Suppose -18 = -3*n - z. Solve n*u = o - 5*o - 20, o - 7 = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62695*k = 4*o + 62691*k + 52, 37*k = -5*o - 149 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -13 + -14 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*h - 20. Let l = h + 15. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**4\/3 + p**3\/2 + p. Let n(u) = 11*u**2 + 8*u. Suppose 83*c - 15 = 88*c. Determine c*n(v) + 8*i(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3*q - 2. Let i be g(4). Find the third derivative of 5*x**i - x**2 - 2*x**6 - 3*x**2 wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019924 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 2) + (1 - 7) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -29*w + 149. Let q be s(5). Let o be 3*10\/(-1320)*q. Put o, 4, -4, 0.03 in descending order.\nAnswer: 4, 0.03, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d + 20. Let x(i) = 36631*i**2. Determine u(x(b)).\nAnswer: -219786*b**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 42*o**2 - 4*o - 153. Give s(42).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) - 49\/4. Let d be o\/21 + 1 + 0. Let q be -2*(54\/28 - 2). Which is the closest to -1\/4? (a) d (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 0 + 4*x**2 + 0 - 1 - 5*x**2 - 2*x. Let d(s) = 2*s**2 + 3*s + 2. Determine -4*d(k) - 7*f(k).\nAnswer: -k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59714173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 229.0985 milligrams?\nAnswer: 0.2290985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -17, 3, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 439 - 437. Put -0.2, -0.3, -4, a in increasing order.\nAnswer: -4, -0.3, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (266\/63*-6)\/(-12 - 936\/(-81))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 89728000 to the nearest one hundred thousand.\nAnswer: 89700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -122*p**7 + 3*p**3 - 124*p + 2262. Find the third derivative of c(j) wrt j.\nAnswer: -102480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -1129?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/6 + -10 + 15 - 8.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -11\/6 (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/9 + 6854*s**2\/9 - 27442*s\/9 + 6862\/3.\nAnswer: 2*(s - 3)*(s - 1)*(s + 3431)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(1\/2))\/z)**(-3\/13))**(-32)\/((z\/(z*z\/((((z*z**(-4\/5))\/z)\/z)\/z))*z*z\/(z*z*z*z**(-2\/7)\/z*z)*z)\/(z\/(z*z\/z**(-1))*z*z)**19) assuming z is positive.\nAnswer: z**(-81\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 8*z - 108 = 0. Let i = z - 30. Suppose 0*j + j = i. Let r(k) = -k**3 + 7*k**2 - 7*k + 3. What is r(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2.7. Sort c, 5\/3, 2\/9 in decreasing order.\nAnswer: 5\/3, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((-5)\/10)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 35*b - 153. Let z be g(39). Solve 0*d**2 - 4\/5 + 2\/5*d**z - 6\/5*d = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - b = -3, 5*b = 10*s - 5*s + 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:03 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11453399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 e when three letters picked without replacement from sattsssusesetau?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -70595c + 2?\nAnswer: -70595a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/19 + -27\/76. Sort f, -1, 2, 1 in ascending order.\nAnswer: -1, f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 3, r: 4}. What is prob of sequence zr?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91218 + 91209 + 91211 - 2*k**2 - 273638.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084474 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*w + 1569 - 515 + 1466 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = -n + 81. Let w be (-40)\/(-12)*((-63)\/(-35) + 3). What is the greatest common divisor of n and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.6, 159, -3, 30, -2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a decade?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 6. Let t be n(6). Let k = 8 + t. Suppose -w - 14 = -k*w. What is the least common multiple of w and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 14 = -5*r - a, -2 = 2*r - 2*a. Let f(s) = -21*s + 57. Let t(i) = 44*i - 119. Let d(p) = 25*f(p) + 12*t(p). Give d(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18624513 is divided by 111.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 2. Let a be r(-4). Let o(l) be the third derivative of 0*l**3 - 8*l**2 + 1\/8*l**4 + 0 + 0*l. Let h(q) = -7*q. Determine a*h(m) + 13*o(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) 2 (c) -9315\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(3*sqrt(6)\/sqrt(3) - sqrt(2)) + 5.\nAnswer: sqrt(3)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (-4 - -5))\/1. Let x(s) = -6*s + 14. Let u be x(2). Suppose -16 = -4*m - 0*w + 4*w, 5*m - w - 12 = 0. Solve 0 = -u*k, m*t = -0*k - v*k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + s + 34, 4*j - j - 114 = -15*s. Calculate the remainder when (144\/10)\/3*10 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -31*l - 218, 3*y = 2*y - 2*l + 41 + 26 + 18 for y.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 0 - 1\/10*n**5 + 0*n**4 + 2*n + 5\/6*n**3 + 0*n**2. Find the second derivative of h(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 20. Determine m(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/65 - (-28)\/10. Suppose -w = -4*l + w + 2436, 1849 = c*l + 4*w. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*j + 39 = 0, -12 = -j + 4*j. What are the prime factors of ((-6)\/z)\/(2\/42)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -216.\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/312613 and -32\/149295.\nAnswer: 1261393455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.43 + -9.39978. What is t rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66, -58, -144, -180, -154?\n\"Answer: 2*r**3 + 7*r**2 - 159*r + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5083*l**3 + l**2 + 7*l - 1. Let i be u(2). Let h = i + 2235526\/55. What is the common denominator of h and 83\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*x + 26, 4*x - 4 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1796*x + 5159 wrt x.\nAnswer: 1796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 - 3*m**2 - 4*m**2. Let k(n) be the first derivative of -n**3\/3 - 1950. Determine j(k(t)).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5588914 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1657*a + 2751*a + 2 - 2 + 3365*a to the form d*a + v and give d.\nAnswer: 4459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2703979746895 - 0.5.\nAnswer: -2703979746895.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + g + 21. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from nqnnnnqnnnn?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g - 3. Let z be o(-2). Let n = z + -1. Suppose f = -n*x - 1, -f - 2 = -3*x + 4. Let r(w) = 5*w**3 + 1. Determine r(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.192155 + 2.192155. Suppose 382 = -5*g - 398. Let f = 1406\/9 + g. Is f greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17796 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, k: 3, e: 2, x: 2, r: 4}. Give prob of picking 1 s, 1 k, 1 e, and 1 r.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**4 + h**4 - 2*h**4)*((2*h + 4*h - 4*h)*(1 - 2 + 0)*(158 - 307 + 182) - 17*h + 18*h - 5 - 5).\nAnswer: -325*h**5 - 50*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1*p*p)**(-36)*p**5*p*p*p*p**4*((p\/(p**(-2)*p))\/p*((p**(-2\/3)\/p)\/p)\/p*p*p)**(20\/7) assuming p is positive.\nAnswer: p**(-2812\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -12449, -0.145, -0.5, 41 in decreasing order.\nAnswer: 41, -0.145, -0.5, -12449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = -13*v + 5*v. Let m = 71 - v. Differentiate 3 - m*g**2 - 1 - 1 - 6*g**2 with respect to g.\nAnswer: -40*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -9, -2, 7, 18, 31?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, 0, -4\/9, -0.3, -1\/9, 10?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1300, -1301, -1302, -1303, -1304, -1305?\n\"Answer: -h - 1299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 291.\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h - 1. Let v(z) = -6*z**2. Let p be v(-1). Let w be 2\/p*(2 - -1). What is the remainder when j(w) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216993, -433984, -650975, -867966?\nAnswer: -1084957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - 0. Let s = -5 - m. Let u(n) = -n**3 + 1 - s*n + 2*n**3 - n**2 + 2. Give u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 + 0.26. Let x = 24286276\/293861601 - -11\/329811. Let f = x - -2\/243. Which is the smallest value? (a) f (b) t (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-4\/5)\/p)**(-2\/63)\/(p**(-6))**(-26\/9) assuming p is positive.\nAnswer: p**(-5462\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((((v*v**0)\/v)\/v*v)\/v)*v**(-7\/5))**34 assuming v is positive.\nAnswer: v**(102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*m - 40, m + 3*z = -3 + 1. Suppose -3*j = -j - m, 2*j - 10 = -4*l. Solve l*d = 3*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45\/2 - -25. Let l(j) be the first derivative of -7*j**2 + 1 - h*j**4 - 6*j**3 - 4*j - 2\/5*j**5. Factor l(f).\nAnswer: -2*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -674 - -678. Suppose 0 = -4*y - v*n + 8, -4 = -7*y + 5*y - 5*n. Solve -12 = -2*j - y*i, 7*j - 3*j - 4*i = -8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 4. Let h(c) = -2*c + 5. Let a(i) = i - 7. Let z be a(5). Let w be (0 - 1)*z\/2. Let v be 62\/(-10) - w\/(-5). Determine v*x(u) + 5*h(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i. Suppose -5*s + 2 = 2*j - 22, 0 = -4*s + 16. Let h(k) = -2*k**2 + 17*k - 3*k**j - 17*k. Calculate t(h(d)).\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1010223 + -10?\nAnswer: -1010233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 673163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2826*d**2*t**2 - d**2*v - 128*t**4*v + 7988232*v wrt t?\nAnswer: 5652*d**2*t - 512*t**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.209 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 2*n**2 + n - 2. Let q(y) = 11*y**3 - 12*y**2 - 5*y - 167. Calculate 6*i(g) + q(g).\nAnswer: 5*g**3 + g - 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 50. Let x = w + -21. Suppose -t + 59 = 3*s, 0 = -2*s - 5*t + 21 + x. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 6*n - 3. Let w(d) = 5*d**2 + 18*d - 9. Let b(p) = -8*f(p) + 3*w(p). Let c(a) = a**2 - 5*a + 3. Let i(x) = -3*b(x) - 2*c(x). Determine i(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 bigger than 7962\/331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165145 - 165141. Suppose 0 = 3*v - 1 - 2. Sort v, g, -9 in descending order.\nAnswer: g, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -414 - -419. Solve 0 = -3*j + v + 16 - 1, 0 = h*v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.1. Suppose -60 = 2*o - 6*o. Suppose o*f = 76 + 29. Which is smaller: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(3\/13)*a*a\/(a**(5\/2)*a*a))\/(a\/(a\/(a\/(a*a*a**(-3))*a)))**15)**8 assuming a is positive.\nAnswer: a**(-4812\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 512 and 71392768.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.68 + -0.72.\nAnswer: 6.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9342, -37385, -84124, -149559?\nAnswer: -233690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {u: 2, v: 16}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 30 = -4*d. Let c be 1 + 4 + (12 - d). Solve -2*a + 6*a = c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98721613*u**4 + 10466641*u?\nAnswer: -1184659356*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9903, 43052, 98293, 175620, 275027?\nAnswer: 396508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.069 + 32.931. Let y = b - 37.6. What is y rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 132 = -4*b - 4*d, -99 = -3*b + 3*d. Let n = b + -13. Suppose 0 = -i - 4*i + n. What is the remainder when 6 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89.56767*0.06\nAnswer: 5.3740602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 5*y**2 - 11*y - 15. Let a be v(-6). Let i = a - 1. Is 2 a factor of (-150)\/(-35) + (-4)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2103101 (base 5) to base 3.\nAnswer: 1202201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 3*f - 7. Let z be j(5). Suppose -g - g = -z*u + 17, 5*g = u - 23. What is the second derivative of -w**5 - u*w + 0*w**5 + 4*w**5 + w wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:23 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1084 - 55 + 9303*s - 9305*s to x + k*s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2000 + 2014. Which is the third smallest value? (a) 2 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 2\/13 (b) 2170 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.5 - -9.5. Let q = -622\/5 + 124. What is the closest to z in -0.1, -2\/7, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 - -70. What is the closest to -0.1 in 2\/5, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67\/845 + -2\/845. Let l be 55\/36 + -2 - 26\/(-104). What is the closest to l in h, -2, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enmeennnncneeveevee. Give prob of sequence ne.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192567960 and 29900?\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30166835 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, 4, 42, -6 in increasing order.\nAnswer: -6, 1, 4, 7, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-373*n - 44 + 749*n - 375*n)*(0*n**2 - 2*n**2 + 14*n**2).\nAnswer: 12*n**3 - 528*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -2*o**3\/3 + o**2 - 4*o + 1. Suppose -u + 5 = 6. Let j be (-3)\/(-2 + u) - -2. Let h(r) = r**2 + 1. Calculate j*h(i) + g(i).\nAnswer: i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h - 4. Let b(z) be the second derivative of 2*z**3\/3 - 3*z**2\/2 + 6*z - 3. What is 4*b(j) - 3*i(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5106901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(105\/(-6)) - (-44454)\/(-3346)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/5 + 3*l**3 + 68*l**2\/5 + 12*l - 144\/5 = 0. What is l?\nAnswer: -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4214210 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 26 = 12. Suppose -2*m + 155 = 3*m + 5*t, -5*m - x*t = -152. Solve -m = -5*s + 5*l, -3*l = s - 6*l - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, c: 2, p: 4}. Give prob of sequence ss.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 70 (c) 21\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/20*(-8)\/1 - 2. Let x(w) = w + 46. Let h be x(r). Calculate the greatest common factor of h and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwggpwnwww. What is prob of picking 1 p and 1 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -13*r - 1\/12*r**4 + 0*r**3 + 0*r**2 + 0. Let m(t) = 59*t**2. Calculate a(m(o)).\nAnswer: -3481*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -120\/221?\nAnswer: -120\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-159)\/(-27) + (-466)\/(-4194)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.01 + -30.31. Let p be 5\/((-100)\/15)*(-1)\/(-3). Which is the closest to p? (a) -0.245 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-3 + 0)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -11, -15, -19, -23, -27?\n\"Answer: -4*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 357, 3, 4, 2, 31, 0 in decreasing order.\nAnswer: 357, 31, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 66. Suppose j = 4*l - 1173 + 353. List the prime factors of l.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**4 + 43*w + 19*w - 1 - 14*w - 11 wrt w.\nAnswer: -8*w**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - 23*b = 8*b + 95*b - 7560 for b.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118\/172*80\/26?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doddddddoo. Give prob of picking 4 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4758624 and 410.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 + 0.15. Round b to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812246317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 0, 5.385?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -258176*k**3 - 4*k**2 - 273*k + 1430 wrt k.\nAnswer: -1549056*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -8*k**3 - 196076*k**2 + 129283852*k + 64690944 = 0?\nAnswer: -25152, -1\/2, 643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2206 is divided by 1039.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 2*k + 1186. Let l(o) = o**3 + 13*o**2 + 12*o. Let t be l(-12). Let a be z(t). Suppose -a + 5951 = 5*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/9)\/n*n*n\/(n**(5\/2)*n))**(2\/7) assuming n is positive.\nAnswer: n**(-31\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*u + 1199 - 1144. Which is greater: 17\/133 or u?\nAnswer: 17\/133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4852\/47307)\/((-8)\/(-6)*2).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-7)\/(-6)) + -1. Let a be (-4 - -2)*(-2)\/10. Let b = -6.3 + 5.8. Put b, k, a in increasing order.\nAnswer: b, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**3\/3 - w**2\/2 + 140*w + 123. Differentiate z(f) wrt f.\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30264139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, -4, 0.6867?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/sqrt(80))\/(sqrt(96) + (-2*sqrt(96) - sqrt(96))))\/(((sqrt(192) - (sqrt(192) + sqrt(192)*2*6)) + sqrt(192))*4) + 4.\nAnswer: sqrt(3)\/11264 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-15 + 1)*1. Let d = 2 - x. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**3 + l**2 - 11*l - 1. Let f(t) = -3*t**3 - 5*t. Let y(n) = 5*f(n) - 2*j(n). Suppose 6 = -0*h - 2*h. Calculate y(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 + -33. Let w = d - 67.9819. Round w to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4888*i**3 + 9722*i**3 - 13*i**4 - 4877*i**3 + 2)*(2*i + 5*i + i).\nAnswer: -104*i**5 - 344*i**4 + 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -0.16 (c) -25 (d) -3\/2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) 1 (c) 5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341483247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/30 and 83\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1510002895.79998355 - -1510002937. Let i = u - 41.2. What is i rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 + -6 - -5 - (42 + -47) - 64)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 23. Let h be o(5). Let w be (-6)\/(-48) + h\/(-8). Let p(k) = k + 8. Determine p(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f**2 + 2*f - 1. Let r(v) = -4*v**2 - 1. What is -5*r(k) + 3*z(k)?\nAnswer: -k**2 + 6*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -624*t - 866. Let p(q) = 207*q + 289. Let g = -716 - -733. Let x(y) = g*p(y) + 6*m(y). What is the derivative of x(a) wrt a?\nAnswer: -225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/184 and 107\/88.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 76 = 4*f, 0 = 3*f + 2*o - 72 + 19. Is 16 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**3\/3 + c**2\/2 + c - 1. Let q be t(-5). Suppose -q = 2*w - 5*w. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 - 7*o**2 + 8*o - 41. Calculate q(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -583\/6? (a) -39 (b) 2\/7 (c) 0 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o = 30*o + 4, -2*i + 4*o - 2 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g - 292*k + 144*k = -146*k + 522, 16 = g - k for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 29*w**2 + 54*w + 53. Determine q(27).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -g + 3*h, 32 = -199*g + 195*g + 5*h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10032320 (base 4) to base 14.\nAnswer: 6464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/10752 and -181\/174636.\nAnswer: 22353408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2159*w**2. Let q(r) = -r - 648 + 648 + r + r. What is q(l(v))?\nAnswer: 2159*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 60 = -3*a + 64, 2*u + 4*a = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21301205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 22*z - 819. Give l(18).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*b + b - 5*b + (1 - b - 1)*(-2 + 2 + 2) in the form l*b + i and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2375 divided by 4?\nAnswer: -2375\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4106, -4102, -4096, -4088?\nAnswer: -4078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-6*2*sqrt(119))\/(sqrt(7) + sqrt(28)\/sqrt(4)*-6)*-4*3)**2.\nAnswer: 288*sqrt(17)\/5 + 352537\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159.28 - 158. Let o = r + -0.28. Which is the biggest value? (a) 4 (b) o (c) -0.2 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*f*h**2*k**2 + f*h**2 - 677*f*h*k**2 + 2*f*h*k + 2*h**2*k + 107625*h**2 wrt k.\nAnswer: 88*f*h**2 - 1354*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {g: 2, r: 10, b: 6}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/65 + 39\/(-15). Let l(c) = -5*c - 6*c**2 + 16*c**2 + 5 - 2. Let p be l(o). Calculate the greatest common divisor of p and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/57)*w*w\/(w*w**(-11\/3)*w))\/(w**(-8)\/(w*w\/(w*w**(-1\/4)))) assuming w is positive.\nAnswer: w**(2953\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001155931 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -142440.566 to the nearest one thousand.\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*g + 2 + g - 6*g + 3*g + (3 - 2 + 1)*(4 - 2*g - 4))*(11*g + 6*g - 3*g).\nAnswer: -112*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q + 19. Let k(w) = w - 9. Calculate 5*k(t) + 2*l(t).\nAnswer: -t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15995 + -0.07005. Which is the closest to i? (a) -4 (b) 0.12 (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 2. Let o(z) = -1. Let g(i) = 5*o(i) + w(i). Give g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/651 and 59\/84.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j = j - 99240. Does 55 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 20, 0 = -4*g - 88*l + 85*l + 84. Solve g = -13*s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79270.31 - -79372.30958. Let u = b + -102. What is u rounded to five dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -14. Suppose 0 = 10*c - z*c + 105. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5893, 11719, 17395, 22843, 27985, 32743, 37039?\nAnswer: 40795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125.106 + -0.106. Let m = 125.057 - j. Let g = m - 5.057. Sort -3, 0.1, g in ascending order.\nAnswer: g, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**2*h\/(h*h**(1\/3)\/h*h*h)*h)\/(h**(-2\/3))**19 assuming h is positive.\nAnswer: h**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 23 = -5*r, -4*g - 8 = 2*r + 10. Let v = g + 6. Suppose 0*k - k = -v. Solve 3 = l + k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7))**(-46))**8 assuming i is positive.\nAnswer: i**(736\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729689?\nAnswer: 729689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = z, -3*v + 3 = 4*z - 0. Suppose 3*w - 2*o - 10 = -z*w, -o = -2*w + 8. List the prime factors of 4\/(4 - w) - -40.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -237, -2311, -7949, -18933, -37045?\n\"Answer: -297*i**3 + 5*i + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffshffffyfmnhffffs. What is prob of sequence hsf?\nAnswer: 13\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462.1912g to micrograms.\nAnswer: 462191200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1015*h = -2019*h + 928*h + 3268 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 11*p**2 - p + 42. Let d(l) = -5*l**2 - 18. Let k(u) = -7*d(u) - 3*s(u). What is k(4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**6*j*j)\/j**(4\/3)*(j*j\/(j*j**(2\/7)))**(1\/2) assuming j is positive.\nAnswer: j**(421\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -182\/11*o + 0 - 40\/11*o**2 - 2\/11*o**3 = 0.\nAnswer: -13, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m - 24 = 0. Suppose 3*h = 5*h - m. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58 - -13870535?\nAnswer: 13870534.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -0.3 (c) 0.04 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 896 = 4*v - 4*q, 4*q + 94 = -3*v + 766. What is the greatest common factor of 42 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/22 and -77\/146.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4 = d, 10 - 14 = -d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 2:16 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 197439 and 3039333?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 238541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -10. Let g = -0.1 + 1.1. Let q = 5.8 + -6. Sort q, g, s in descending order.\nAnswer: s, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1540, -1540, -1538, -1534, -1528, -1520?\nAnswer: -1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 42 = 9*b. Let m be (1 - (4 - 7) - 6) + b. Suppose m*q + q - 1152 = 0. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**5\/40 + 5*x**4\/96 + 7*x**3\/48 - x**2\/8 - 13*x. Factor o(c).\nAnswer: -(c - 2)*(c + 1)*(4*c - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = r + 6. Suppose -5*t = -b + 10, -4*t + r*b = -1 - 12. Let p be t\/(-2 - 1)*6. Solve -q = 2*h + 9, 3*q = 2*h - p*h - 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000157186344 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -265*n + 532. Let r be b(2). Solve -158*w + 156*w = r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -31. Let w be (-18)\/63 + 23\/u. Let t(x) = -2*x. Let i be -12 - 1*(-9 - -2). Let n(k) = -4*k. What is i*t(o) + w*n(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b = -16*b + 4644. Solve -106*c + b*c - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101201211102 - -200?\nAnswer: -101201210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -0.51, -4, 0.5?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 5917 + 26219. What are the prime factors of l?\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 <= -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -2, -9438.6 in ascending order.\nAnswer: -9438.6, -2, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/8)*v*v\/(v\/(v*v\/(v**(-8)\/v))*v*v))**(7\/3) assuming v is positive.\nAnswer: v**(189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o + 739 = 3*x + 18*o, 957 = 4*x + 3*o. Suppose 0 = 18*n - 27*n + x. What is the greatest common divisor of 729 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3 = 5. Let a = -559 - -559. Suppose 10*k + 31*k - 492 = a. What is the smallest common multiple of d and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - -88. Suppose b = -87*o + 83*o + 292. What are the prime factors of o?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/14)\/(((-893)\/(-19))\/1645).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 + -0.57. Let h = -1.863 - 0.337. Put 2, r, h in decreasing order.\nAnswer: 2, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11704056*4\nAnswer: -46816224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15200.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u - 6*u**3 - 6*u - u.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -2*l**4\/3 - 3*l**3\/2 - 2*l - 105. Let x = -4 + 6. Let b(f) = -4*f**2 - 4*f. Determine x*c(y) - 5*b(y).\nAnswer: 4*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -866*b*w**2 + 83*b*w - 366701627*b + 2*w**2 + 20*w wrt w?\nAnswer: -1732*b*w + 83*b + 4*w + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3*k + 3\/2*k**2.\nAnswer: 3*k*(k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6978\/(-15119)*4\/12?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:14 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2 - 10920*d - 14905800 = 0 for d.\nAnswer: -2730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2\/5 - 106452*s\/5 - 1383369\/5 = 0?\nAnswer: -35471, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -24. Let i be 4 + (q - 4) + -3. Suppose 2*g + 0*g = 3*y + 1, -22 = y - 5*g. Which is the nearest to -1? (a) i (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x = -2, b = -4*x. Suppose 28 = -k + b*k. Solve -n - 3*n + k = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1382865002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 10*k = -4. Solve 2\/3*n**k - n + 1\/3*n**3 + 0 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6801.593 rounded to the nearest 100?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d7522 (base 15) in base 9?\nAnswer: 7000385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2389976 to the nearest integer?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 162 - 3 - (4\/4 + -1). Let b = 3386 + l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 15354 = 4*z - 2*z, z + c - 7677 = 0. Let i = 22877 - z. Round i to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 + -910\/9. Which is the third biggest value? (a) -5 (b) 5 (c) -2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8*m + 3. Let l(j) be the third derivative of -j**5\/4 - 4*j**2 - 1250. Calculate k(l(v)).\nAnswer: 120*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2934?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 1, q: 2, f: 1}. What is prob of sequence rq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.054 - 0.0513. What is p rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*a = -8*y - 18, 0 = 2*a - 4. Let g be 6 + y*(-2 - -12). Put -5, -4, g in descending order.\nAnswer: -4, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(2 + 0 - 1) - 5 - 3 - 6)*(2*d**3 - d**3 - 3*d**3).\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-4\/3)*v*v)\/v**0)\/(v**(-4)*v**(-5)*v) assuming v is positive.\nAnswer: v**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88500*k**2 + 35440*k + 16 = 0. Calculate k.\nAnswer: -2\/5, -2\/4425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120513*-0.5.\nAnswer: -60256.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k + 2. Let s(w) = 4*w + 3. Let z = 4 + -1. Suppose -7 = -5*q + 3*q + 5*g, z*q + 15 = -g. Calculate q*s(c) + 5*y(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 13*i**2 - 9*i + 74. Let n(y) = y**2 - y - 1. What is m(d) - 10*n(d)?\nAnswer: 3*d**2 + d + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -8. Suppose -13 = o - m. Let h(p) = 4*p**2 - 6*p + 6. Let b be h(o). What is the highest common divisor of 16 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + -2 - (-3 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 58 - 38 = 0. Suppose 0*f = u*f - 12. Suppose 0 = -5*j + 20, 5*j = -2*a - a + 44. Solve 0 = -v - f + a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8666, 8668, 8670, 8672, 8674?\n\"Answer: 2*f + 8664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1480 - 1582 + 2809)*(2 + 0 + 2)*(-6 + 3 + 1)*(z**2 - 3*z + 4*z**2 - 3*z**2).\nAnswer: 4048*z**2 - 6072*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 10*n + 2. Let z be q(3). Let u = z + 247. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g + 10 = 84. Let y(a) = 31*a**2 + 6. Let w(v) = -30*v**2 - 5. Let s(r) = -3*w(r) - 2*y(r). Is s(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b4 + -22?\nAnswer: -1d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8900.016422 - 8900. What is z rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -110\/3, 0.3, 128885?\nAnswer: -110\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**3 + 4*q**2 + 2*q - 2. Let w(l) = l**3 - l**2 - l + 1. Let o(n) = -2*a(n) - 4*w(n). Factor o(h).\nAnswer: 4*h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2020)\/1111)\/((-15)\/6)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 276\/28 - 20\/(-140). Let r(t) = 5*t**3 + t**2 + 2*t - 3. Let k(n) = -11*n**3 - 2*n**2 - 5*n + 7. Give y*r(w) + 4*k(w).\nAnswer: 6*w**3 + 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 7:04 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335, 584, 1049, 1736, 2651, 3800, 5189?\nAnswer: 6824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + 24 + -56 + 27?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1101 divided by -995\nAnswer: 1101\/995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 130 = -g, 443*c = 447*c + g - 172. Calculate the greatest common factor of 112 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -10 (b) -3 (c) 4 (d) 0.538026\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 264747.66 months in centuries?\nAnswer: 220.62305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-549)\/40 - 240\/(-400). Is b greater than or equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 0.1, 2\/419, -0.0548, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 22 = -1. Suppose -y = -2*r - 3. What is the remainder when 29 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = 4. Let i(w) = w**2 + 5*w - 3. Calculate i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 80782 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 p, and 1 x when four letters picked without replacement from {u: 6, f: 1, x: 3, p: 3}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14\/3 - 31\/6. Let b = 4 - 1. Let i(s) = s**3 + 18*s**2 + s + 6. Let p be i(-18). Put b, p, h in decreasing order.\nAnswer: b, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**6\/540 + 43*s**5\/270 + 749*s**4\/108 + 931*s**3\/9 + s**2 - 64. Factor z(u).\nAnswer: -2*(u - 57)*(u + 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 24664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 432, -2, 3, 0 in increasing order.\nAnswer: -5, -2, 0, 2, 3, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 613890 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (-194)\/(-10))*147\/(-14)\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 - 767578*r\/5 + 112023756\/5.\nAnswer: 2*(r - 383643)*(r - 146)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -8, 2\/3, -29?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 947563*q + 1. Let f be i(-6). Let r = f - -12694536. Let a = 3709159 - r. Round a to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 38 + 14*h - 12*h**2 + 34 - 52 as t*h + q + v*h**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0840509ng in tonnes?\nAnswer: 0.0000000000000000840509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 28*k - 700. Let v = -51 + 63. What is the least common multiple of v and k?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5 (b) -27 (c) -39455\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1044 - -14?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -13*u**2\/2 + 6*u + 174. Let x be 366\/(-36) + 2\/12. What is the units digit of g(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202022100012 (base 3) to base 16\nAnswer: -6197c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -57. Let z = d - 3.7. Which is the closest to 2\/5? (a) -2\/3 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 12 in descending order.\nAnswer: 12, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11949 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 45*k - 134. Calculate p(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 5, 130940 in increasing order.\nAnswer: -16, 5, 130940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -15*d. Let p(o) = 395*o + 1. Determine w(p(k)).\nAnswer: -5925*k - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 7658406\nAnswer: 2\/3829203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844155?\nAnswer: 3, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7b776 - -35?\nAnswer: -7b741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/6 + -1)*10. Suppose 5*c - 29 = -l, -2*c + c = -f*l - 11. Suppose h = 3*o - 90, 4*h - c*h = 0. Calculate the greatest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74137 or 74138?\nAnswer: 74137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*u + 1 - 5 + 4.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1021 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6119.047 + -0.2?\nAnswer: -6119.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2273208 and 72912?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*u**2 + 11 - 5*u**2 - 54*u**2 + 21*u**2 as b*u + v + j*u**2 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, g: 13}. Give prob of picking 2 g.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0845954mg in grams?\nAnswer: 0.0000845954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*r**6 + 64*r + 53 - 103*r**5 - 64*r - 9*r**2 - 40 + 2*r**2 wrt r.\nAnswer: -1200*r**3 - 6180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1035 = -4*u, 0*u + 2*u + v - 513 = 0. Suppose 8 = -253*h + u*h. Solve -2*g + 6 = -4*k - h*g, k = -g - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 586377*n**2 + 4 + 581434*n**2.\nAnswer: -4943*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27880003*b - 31017037?\nAnswer: 27880003","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918449451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -23*t**4\/3 + t**3\/6 + 297*t**2\/2 - 921*t. What is the first derivative of x(l) wrt l?\nAnswer: -184*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:58 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.024940233 and 785712.\nAnswer: 785712.024940233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/600773 or 1?\nAnswer: 3\/600773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -2144?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14879, -29755, -44623, -59477, -74311, -89119?\n\"Answer: s**3 - 2*s**2 - 14877*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**5\/100 + i**4\/30 - i**3\/10 + 4*i. Factor w(p).\nAnswer: p*(p - 1)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, w: 13, j: 1}. Give prob of picking 1 j and 1 b.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136631126.\nAnswer: 2, 401, 170363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 5, i: 2, x: 1, q: 2, s: 5}. What is prob of sequence xw?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013298958 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 14356307?\nAnswer: -14356314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 20?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z = 0. Suppose 38 = 5*p - 3*d, -2*d = 2*p - z - 12. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**4 + 2*y**3 + 611*y**2 + 2870*y.\nAnswer: 12*y**2 + 12*y + 1222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241, 480, 715, 946, 1173, 1396, 1615?\nAnswer: 1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c77 (base 15) in base 12?\nAnswer: b487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 2829*x + 78431. Determine a(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w - 275 = -3*v, -2*v = 2*w - 182. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20264 = 26*a + 22*a - 10120. Calculate the remainder when a is divided by 160.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3062 + -3067. What is the closest to 0 in -337, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + (-15549)\/994)\/(24\/98).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.28 and -233.\nAnswer: -232.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1990*x = 2000*x + 690. Let d be (-8)\/36 + (-1310)\/18. Let t = x - d. Solve -p = t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 366*l**2 + 3 + 1871*l**2.\nAnswer: 2237*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*o - 702*o - 16 = 0, -5*r + o - 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 5*i**2 + 7*i + 2. Suppose -22*q - 12 = -24*q. Let t be m(q). Is 3\/(-2) - (-1796)\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1\/(-2)*427*252\/(-147)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/36 - 44\/(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3111442 (base 6) to base 8\nAnswer: 443662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttqz when four letters picked without replacement from zztlezlqllzztqtltet.\nAnswer: 25\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -296 - -299. Solve 9 = b*k + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3011, -11762, -26347, -46766, -73019, -105106?\n\"Answer: -2917*d**2 - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 1. Let y(m) = 2*m**2 - 5*m + 6. What is the remainder when y(5) is divided by f(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 227 - 107. Let s be (200\/14)\/(6 + h\/(-21)). Calculate the greatest common divisor of 150 and s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**27\/y*y*y*y\/(y\/(y**(16\/5)\/y)) assuming y is positive.\nAnswer: y**(161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5\/9 - 8*i**4\/9 + 136*i**3\/9 - 212*i**2\/9 - 134*i\/9 + 220\/9 = 0.\nAnswer: -11, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*k - 21204 = 304*k + 502*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82421\/6 - 13644. Let l = r + -93. What is the second biggest value in -0.5, 4\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26608*z**3 - 27584*z**2 + 26604*z**3 + 27584*z**2.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27464.\nAnswer: 2, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426326217778 + -5.\nAnswer: 426326217773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/18)\/((8\/2)\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 24. Let x = -15.3 - 4.7. Let l = d - x. Which is the nearest to 1? (a) 0.5 (b) -2\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 3, 2, -11\/12 in increasing order.\nAnswer: -1, -11\/12, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00074537 rounded to 5 decimal places?\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -865632 divided by -24?\nAnswer: 36068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 13. Let i be x(0). Let v = i - 8. Suppose -48 = -v*o + o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109320000 rounded to the nearest 1000000?\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1332, 2963, 4802, 6951, 9512?\nAnswer: 12587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*2*3)**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 57. Suppose -v + i - 6*i + 369 = q, -v - 3*i = -375. 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: Let w(f) = -f**2 - 5*f. Let c be w(-5). Suppose c = -4*o - 4, -p + 0*o - 16 = 4*o. What is p rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 g when three letters picked without replacement from {j: 2, g: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 18*i + 164. Give v(25).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 0)*-18 - 3. Factor -i*b**2 - b**3 - 6*b - 8*b**3 + 2*b - 2*b.\nAnswer: -3*b*(b + 1)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/((-4)\/(-14) - 312\/112). Factor 2*l**3 + 1028 + 4*l**2 - 1028 + y*l.\nAnswer: 2*l*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5\/3 - 116*j**4\/3 + 8686*j**3\/3.\nAnswer: -2*j**3*(j - 43)*(j + 101)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(80))\/((sqrt(72) + 3*sqrt(72))\/sqrt(12)).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 1573?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -388 - -873. Suppose w = 5*f + 2*q, 3*f + 3*q = 2*q + 292. What is the remainder when f is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, 3, -40?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 6. Let l = -0.2 - -1.2. Let p = -131 - -130.8. What is the closest to n in -2\/11, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -101342?\nAnswer: -101332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8*d = 4*d - 2, r + 4*d - 13 = 0. Suppose r*h = 6*h - 2. Solve 2*f + 4*g = -0*f - 22, -h*f + 4*g + 2 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 660760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcc when three letters picked without replacement from gcuuguuuxuxxgxuw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55740000 rounded to the nearest one million?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-7 - -9) - (-17 - -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -17. What is the tens digit of (z + -4)\/(4 - (-212)\/(-52))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10829351?\nAnswer: 13, 139, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d\/(d\/d**0))))\/d**(2\/39)*d**16*d\/(d**(-7\/3)\/d))**(-22) assuming d is positive.\nAnswer: d**(-16544\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103720184 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 9)\/((-15)\/105). What is the highest common divisor of t and 567?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/2*12\/(-26) and (-777 - -763) + 281\/14?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3459490157 rounded to two decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10906.\nAnswer: 2, 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332 + 948 - 282 - 334 - f + 2*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*n + 2646*r - 2650*r, -n + 5*r = -10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17658 divided by -2\nAnswer: -8829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.063637 - 82\nAnswer: -81.936363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7232*b + 6935*b - 1485 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1604*z**3 - 2*z**2 - 1050*z?\nAnswer: -9624*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*z - 754. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16554 - -60309. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 - -131. Let j = 8 + k. Let h(s) = -8*s**3 + 2*s - 5. Let y(o) = -9*o**3 + 3*o - 6. Determine j*y(a) + 6*h(a).\nAnswer: -3*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w + 8 - 8)*(327*w + 339*w - 2 - 651*w).\nAnswer: -135*w**2 + 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.837 * 0.2\nAnswer: 0.1674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1035 and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -27*n - 26*n + 79*n - 27*n. Let b(i) = -3*i - 4. Let j(t) = -3*t - 3. Let u(y) = 3*b(y) - 4*j(y). What is m(u(s))?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 - 26*n + 146. Let z(a) = -3*a. Calculate u(z(m)).\nAnswer: 36*m**2 + 78*m + 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + w**2 + 2*w + 4. Let x be o(0). Is (-3182)\/x*(-6)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679322 is divided by 56609.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6295 + 6292.8884. Let f = u + 2.07. Round f to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3564 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606 = -13*x - 593. Is (1 + x)\/(-2)*1748982\/(-86) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95931 = 8*w - 22*w - 5001. List the prime factors of w.\nAnswer: 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5300*n - 94 = -5291*n - 328 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177401358?\nAnswer: 2, 3, 17, 181, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 243110?\nAnswer: 243113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*f**2 - 104*f**2 + 51*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214111483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1665526 (base 7) to base 14\nAnswer: 6184d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17782096 is divided by 131?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 308.8 + -309. What is the third biggest value in c, 6\/17, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 258\/(-15) - 1\/(-5). Let c = -10 - p. What is the third derivative of c + 3 - 32*g**5 - 10 - 31*g**2 wrt g?\nAnswer: -1920*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*i + 2 = 99*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 479*w**2 + 354 + 203*w**2 - 55 + 715 - 9 with respect to w.\nAnswer: 1364*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1155 and 2464.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 12*h = -540. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*o**3*r - 4*o**2*r + 1890*o - 532967*r wrt o?\nAnswer: 33*o**2*r - 8*o*r + 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.0635, 9, -2\/5, 0.2, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1708609 to the power of 1\/2, to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35671 - -3?\nAnswer: 35674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -4.\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2200221 (base 3) to base 4\nAnswer: -132301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -5 (b) -0.01 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -v**4 + 2182*v**2 - 280*v + 1463041?\nAnswer: -4*v**3 + 4364*v - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 11:26 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from ebbbe.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104\/45 + -19\/9. What is the nearest to o in -0.03, 0, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - x + 57. Suppose 5*o + x = -21. Let m = 0 - o. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*u + 65 = -6*u + 189. Solve 2*s - 12 = -4*d, -u*s = -7*d + 10*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 0.05, 1, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**3 - v - 3. Let x(s) = s + 1. Let f be x(0). Let n(a) = a**3. Determine f*q(i) - 4*n(i).\nAnswer: 2*i**3 - i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/(-154))\/15*-4 - (31616\/(-7579))\/(-19)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 900 - 896. What is the second smallest value in -0.5, d, -4, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 584960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -538.382 + 539. Let k = -51.482 - n. Let y = k - -52. Which is the closest to 0.7? (a) -3 (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 900 - 1095\/7*o**3 + 5520\/7*o + 3\/7*o**5 - 1773\/7*o**2 - 99\/7*o**4 = 0. Calculate o.\nAnswer: -5, -1, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (-2)\/4*-6. Suppose 2*f = r*y - 10, -3*y + 5*f = y - 22. Factor -3*h - 3*h**4 - 1 - 6*h**2 - 9*h**3 + 1 - y*h**2.\nAnswer: -3*h*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 38033, 152296, 342771, 609488, 952477, 1371768, 1867391?\n\"Answer: 5*x**3 + 38076*x**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**4 - 2*z**3 + 20*z**2 - 18*z + 23. Let y(h) = -3*h**4 - 5*h**3 + 61*h**2 - 53*h + 77. Let l(a) = 28*i(a) - 8*y(a). Factor l(x).\nAnswer: -4*(x - 1)**3*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5686?\nAnswer: 2, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0128 in 1, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Let u(b) = -2*b**2 - 4*b - 2. Let w(s) = s**3 - 5*s**2 - 17*s - 4*s**2 - 6 - 3. Suppose -5763*x - 792 = -5675*x. What is i*w(q) + x*u(q)?\nAnswer: 2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 6:52 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 697 divide 665330478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -98039 and 3.3424296.\nAnswer: -98035.6575704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -31*s - 840. Let k be ((-63)\/s)\/((-1)\/(-2)). Solve -m = -0*g - g - 3, 0 = -5*g + 2*m - k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -176, -263, -354, -455?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-11)\/(44\/24). Solve 3*z - 4*u + 5*u = -17, -5*u - 35 = y*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1302463458 and 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t - 3*n + 7, -3*t + 5*n = 8. Let k be (t - -18 - -6) + -5 + 1. Which is bigger: 22 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -2, -0.002, -0.2 in increasing order.\nAnswer: -2, -0.2, -0.002, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -64 - 6*q**3 + 32*q**4 - 28 + 93 in the form c + y*q + x*q**4 + v*q**3 + d*q**2 and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -5 (c) 0.9 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9941698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + -2)*-3 - (2 + sqrt(304) + sqrt(304) + -2 - sqrt(304)))**2.\nAnswer: -264*sqrt(19) + 9232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 2*h = -65*m + h - 218, 70 = -5*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4, 0, -36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-112)*-49*(2 - 32\/14). Sort -1, n, 0, 1, 6 in descending order.\nAnswer: 6, n, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 15*l + 16. What is the remainder when w(7) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 - (105\/9)\/(-5). Suppose -6*l + 2*l + 20 = 0. Suppose a*g = l*g - 21. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69 - (18 + -36)) + (15 - (-3 + 4))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 25 - 13*u in the form r + g*u and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 - 2*t**2 + 10*t**2 + 6*t**2 in the form n + m*t + s*t**2 and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5285 + -5281. Let i(w) = -w**2 + 4*w - 1. Let r be i(3). Let m(p) = 0*p**2 + 5 + y - r*p**2 - 7. Determine m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*a**2 + 154*a**2 + 70 - 90 + 20.\nAnswer: 361*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 110 = -5*u + m, 3*u - 5*m = 85. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*j = 111*j + 111*j + 216 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 506962606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45594 divided by 15198.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304*z - 7 = -305*z. Solve z*o - 16 = -51 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -4*k - 3*q - 48, k + q + 25 = 0. Let h = -3 - k. Suppose -t + 4*v = -h, -5*v + v = 5*t - 177. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/9 + 110*d**2\/9 - 416*d\/9 + 136\/3 = 0. Calculate d.\nAnswer: 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 443275 - -716?\nAnswer: 444102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from fzfxtzizxzf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7885 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v. Let b(t) = -17798*t**2. Give p(b(x)).\nAnswer: 53394*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or -175\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + -1)\/(87\/24 - 4). What is the tens digit of 1162\/i - ((-36)\/6)\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 7*l - 5. Let k be q(7). Let b(d) = -d - 9. Let h be b(k). Let n be 3\/((-122)\/32 - h). Calculate the highest common divisor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (sqrt(11) - ((sqrt(11) - (sqrt(176) + 0))**2 - sqrt(11)))*-4*-3 + 4.\nAnswer: -1185 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(539) + 2)*3 + -3 + (0 + sqrt(539) + 1 + sqrt(539) - (sqrt(539) - (sqrt(539) - -5*(sqrt(539)*-2 + sqrt(539))))))*-1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -4 + sqrt(3))**2*2.\nAnswer: -80*sqrt(3) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - -43 - (-6 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 27*g**6\/2 - g**4\/4 - 32*g**3\/3 - g + 210. Find the third derivative of o(u) wrt u.\nAnswer: 4860*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 2. Let r be 7\/(-1*p\/(-10)). Suppose -2*l + r = 3*l. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from zlirilrlrllz?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1012876 divided by -1399\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 9. Let x be d(7). Let w = x - 126. Let y = w + 62. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 u when three letters picked without replacement from {s: 1, u: 4, d: 10, w: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/24)\/(1\/(-3)). Let w = 0.267 - 2.267. What is the third smallest value in w, o, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -20, -5, 3, 2 in decreasing order.\nAnswer: 46, 3, 2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1947979269 to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.3. Let w = 145 + -148. What is the nearest to -1 in 0, w, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 4*g + 2, -16*g + 5*c + 16 = -13*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 2. Let d be -1 + -4*3\/6. Determine v(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*t = 7510, -3*b + 9190 = 2*t - 2091. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 4463697?\nAnswer: -1\/4463697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 112 * -391628\nAnswer: -43862336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/5))**(9\/5))**2\/(((j\/(j\/(j**(-2\/19)*j)*j))\/(j*(j**(-4)*j)\/j*j))\/(j*j**4*j*j**3)) assuming j is positive.\nAnswer: j**(5427\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + -2*sqrt(104))\/sqrt(8) + (sqrt(143) + sqrt(143)*-2)\/sqrt(11))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -2)*40\/16. Let i(s) = s**2 + 71. Let c be i(0). Suppose -26 = -2*t + 4*l, -c = -3*t + 3*l - j*l. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3501827?\nAnswer: 7, 59, 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -1070599167*x**4\/4 + 11104719219*x**3 + 34356089295*x**2\/2 + 8716089175*x + 5873407625\/4 = 0.\nAnswer: -515\/1023, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**5\/7 - 36*q**4\/7 - 69*q**3\/7 + 264*q**2\/7 + 324*q\/7 - 480\/7 = 0.\nAnswer: -8, -5, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**3 + 2010*v**2 - 2010*v**2.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/105 less than 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-23 - 5 - -33) + -2 + 0 + 73\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003361097 to 5 decimal places.\nAnswer: -0.00336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13822, 13487, 12928, 12145, 11138, 9907, 8452?\n\"Answer: -112*g**2 + g + 13933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 10*i**2 + 7*i - 16. Give k(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1124*x**3 + x + 71.\nAnswer: 6744*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8973241?\nAnswer: 8973241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.4, 41, -0.2 in descending order.\nAnswer: 41, 3.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -11*j**2 + 6*j + 6. Let u(p) = 10*p**2 - 5*p - 5. Let c(x) = -6*u(x) - 5*z(x). Let v = -11 - -16. Let k(g) = -3*g + g + v*g - g. Calculate c(k(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 348 or 4.251?\nAnswer: 348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33904\/546 - ((3\/(-12))\/((-24)\/(-192)))\/(-21)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 114 = -12*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/(6750\/(-36)) + 0. Which is the closest to p? (a) 1 (b) -0.31 (c) 1\/8 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000 - 222?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (17 + -16)*(-1 + 6). Suppose -x = 4*n + 11. Which is bigger: n or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 = -3. Suppose a*p = -2*p + 25. Solve -3*n + 5 = -2*x - 6, 0 = p*n - 3*x - 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 789*k - 9366. Determine z(12).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2424078*f**3 - 17510294.\nAnswer: -7272234*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80220 and 308?\nAnswer: 882420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 4:12 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4248476 divided by 1062119?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 7:20 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, -89, 8, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4 + (-75)\/12. Let l be (-2)\/4 - (r - -4). Let -1\/4*a**4 - a - 1\/4 - a**3 - l*a**2 = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (199 + 105*d - 199)*(-3 - 2 + 3 + (-2 + 1 - 3)*(3 - 1 - 1) + 0 + 0 + 3).\nAnswer: -315*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8423006 divided by -18\nAnswer: 4211503\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g**14*g))\/g)\/(g\/(g**(-14)\/g*g)))\/(g**(-1))**(22\/3))**(3\/17) assuming g is positive.\nAnswer: g**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 15*p**2 + 6*p - 29. What is the hundreds digit of a(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, 9, -6, 5 in descending order.\nAnswer: 9, 5, -6, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -43145, 0.05, -2\/13, -5, 4 in descending order.\nAnswer: 4, 0.05, -2\/13, -5, -43145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -219270 - -38.66\nAnswer: -219231.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + -8)\/(4\/(-2)). Suppose a = -g + 3*w + 26, 0*w - 2*w = -4*g + 134. Calculate the highest common divisor of 175 and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 16*g + 1. Let s(x) = 8*x. Let b(m) = -11*s(m) + 6*y(m). Let n be b(8). Calculate the greatest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b*b*b**(-1\/2)))\/b)**(-1\/35)*b**(-2\/9)*b**(-2\/29))**(2\/7))**(-22\/7) assuming b is positive.\nAnswer: b**(99814\/447615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(2 + 33\/(-15)). Let r be (-54)\/b*20\/2. Let m be r\/28 + 0 - -4. What is the smallest value in 2\/19, 3, m?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1177*d**2 + d + 74706 - 74706 - 2*d**2 - 4*d**2 + 3*d**2 + (-d + d - d)*(3*d + 0*d - d).\nAnswer: 1172*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 1, q: 3, r: 2, p: 4}. What is prob of picking 1 a and 1 q?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c = 4*m + 18*c - 22, 11*m - 5*c = 55 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1304 - -14a?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36806, -62718, -88628, -114536, -140442, -166346, -192248?\nAnswer: -218148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*o**2 - 143*o**2 + 679*o**2 + 531*o**2 to z*o + n + f*o**2 and give f.\nAnswer: 1145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-28))\/((-126)\/49)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 12. Let w = 3.4 - 0.9. Let v = h + w. Which is the second smallest value? (a) 0 (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*x + 7 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + m**2 + 2*m + 1. Let y(w) = 2*w**3 + 6*w**2 + 16*w + 2. Let r(n) = -5*i(n) + y(n). Let s(v) = 3*v**3 - v**2 - 5*v + 3. What is 5*r(j) + 6*s(j)?\nAnswer: 3*j**3 - j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y - 35. Let o(x) = -x - 1. What is h(n) - 3*o(n)?\nAnswer: -n - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.43 times 5?\nAnswer: -32.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = t + 2*t - 30, -5*a + 27 = t. What is the highest common factor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r - 2*r - 2*r + 2*r - 7.\nAnswer: 4*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13971ba (base 12) to base 4\nAnswer: 32333311132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*g*u + 3*b*u**2 + 2*b + 839*g*u**2 - 737*g*u + 5*g + 126*u**2 + 2513*u + 1 wrt g.\nAnswer: -b*u + 839*u**2 - 737*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 29*s**2 - 28*s + 3. Let n be b(-28). Suppose 5 + 1 = n*c. Suppose 5*v = c*v + 126. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83293 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -i - 3*i. Let m be 9\/(-3) + (-2)\/(-1) + 23. Let x = m + -65\/3. Which is the closest to 0? (a) -0.1 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43317150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n = -4*t + 56, t + 3 = -4*n. Suppose -b + 1 = t. Round b to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*15\/(-120) - 505\/620.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000405444134 rounded to 6 decimal places?\nAnswer: -0.000405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-5836203.9.\nAnswer: 29181019.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.09285 (b) -5 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*d**3 - 1962*d**2 - 1522423*d + 435138.\nAnswer: (d - 627)*(d + 347)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d. Let k(h) = 8*h - 1. Let i(r) = r**3 - 7*r**2 + 10*r - 9. Let w be i(6). Let t = -10 + w. Calculate t*c(u) + k(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(-95))\/(2*(-102)\/(-45))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.19 (b) -3.69 (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39393084 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 1:07 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -5462663\nAnswer: -2731331.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*y - 5*r - 10 = -494*y, 0 = -20*y + r - 204 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (12 - 43) + -9?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 43*b**2 + 6032*b + 71142. Calculate o(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 - 4.07. Sort 0, s, -0.3, 1 in increasing order.\nAnswer: s, -0.3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-6 + 1 - 2) + 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131064547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112\/57 - -88\/19. Let b(x) be the first derivative of -1\/3*x**4 - 3 + 2\/3*x**2 - 8\/9*x**3 + q*x. Let b(n) = 0. What is n?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 10. What is the tens digit of j(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-15)*12\/8. Let c = -37\/20 - h. What is the smallest value in -4, c, 2, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(h**2 + 0*h**2 - 3*h**2) - 22*h**2 + 7*h**2 + 224*h**2.\nAnswer: 205*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*w**4 + 2*w**2 - w**3 + 2*w + 0*w**2 + 18*w**4 + 4*w**3 in the form r*w**4 + u*w**2 + f*w + l + h*w**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*q - 38*q - 23*q**3)*(-105 + 272 + 103) to b + j*q**3 + m*q**2 + v*q and give j.\nAnswer: -6210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by 5\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -156*g**3*l**3 + 83021*g**3*l + 191*g**3 - 11817*g**2*l**4 wrt l?\nAnswer: -936*g**3*l - 141804*g**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 655248 and 616?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 12*s**2 - 17*s - 20. Let u be v(-13). Suppose u*z = 35*z - 51. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*1509\/(-1006).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (34\/612)\/((-2)\/(-6))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**6\/20 - u**5\/20 - u**4\/12 + 5*u**2 - 4. What are the prime factors of y(3)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 - 4 - 4*l**2 + 5*l - 14*l + 5*l**2. What is the tens digit of z(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*m**4 + 12*m**3 - 300*m**2 + 388*m - 144.\nAnswer: 4*(m - 1)**3*(11*m + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -25*q - 6. Let z(s) = 47*s + 11. Let o(f) = 11*j(f) + 6*z(f). Let l(r) = 14*r. Let h(d) = d. Let x(n) = 8*h(n) + l(n). What is o(x(a))?\nAnswer: 154*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8745*m*t - 5*m + 310036*t - 1 wrt m?\nAnswer: 8745*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 19 - 0. What is the remainder when h is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4102 is divided by 1363?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1072117238\/6929 + -154729. Let z = -575161\/124722 - r. Let t = 20845\/6 + -3487. Find the common denominator of t and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4028, -8057, -12086, -16115, -20144, -24173?\n\"Answer: -4029*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 5*h**2 - 5*h + 12. Let t = -128 + 121. What is the units digit of f(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 18 - 85 = 122 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(2 - (-76)\/(-48)). Suppose 19*i - y*i = 6*i. Solve 5*q - 2*c + 24 = i, -c - 18 = 2*q + 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5269 - 1479. What are the prime factors of t?\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1002*j + 3. Let s(y) = -4005*y - 12. Determine -11*c(r) - 3*s(r).\nAnswer: 993*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -193920*s + 193978*s - 5626 for s.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59289880 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.8, -0.0055, 7, -1, 5, 1 in increasing order.\nAnswer: -4.8, -1, -0.0055, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27\/(-18)*8\/3 - -104. Let h = -62 + t. Factor 4*l**2 + h + 49*l - 25 + 19 - 13*l.\nAnswer: 4*(l + 1)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1742032454?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) - 26\/(-10). Let v be (-2)\/q - (-5)\/3. Solve 3*b = 2*b - v, 5*p - b = -24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 4 - -7*(-12)\/28. Let i(f) = -f**2 + 6*f + 3. What is the remainder when 1*m\/9 + (-20)\/(-3) is divided by i(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770958?\nAnswer: 2, 3, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/46)\/((-3)\/(-2))*-9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16297 + -16296.7. Which is the nearest to -2\/5? (a) 2 (b) g (c) -2.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and 7997.\nAnswer: 7984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27750 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7342433 is divided by 85377?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 930 - 289 = -3*b, -z + 5*b - 166 = 0. Let n = z - -69. Let u = -2.6 - -2.5. Is u at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 8, -0.3, -0.2 in increasing order.\nAnswer: -0.3, -0.2, 2\/13, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 8. Suppose q - 3*q + 50 = h. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c - 6 = 0. Let l(m) = -2*m**3 - m**2 - m + 1. Let t(r) = -4*r**3 - 2*r**2 - 3*r + 2. Let o(h) = 9*l(h) - 4*t(h). Determine o(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8760290 divided by -385?\nAnswer: -22754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 54.\nAnswer: -5, -2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 168607, 337215, 505823, 674431, 843039, 1011647?\n\"Answer: 168608*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 11. Let c = 73 + -81. Let z be g(c). Calculate the highest common factor of z and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2 and 119\/370.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46451519 - 34.\nAnswer: -46451553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.163 to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/1*7\/(84\/80).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 1178863504*u + 173714895132894752.\nAnswer: 2*(u - 294715876)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 4*v - 5*v)*(v - v - 4*v**4) + (2*v**4 - v**2 + v**2)*(0*v + 4*v - 3*v).\nAnswer: -14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by 19?\nAnswer: 45\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19367*m**4 + m**3 + m**2 + 325135 wrt m?\nAnswer: -464808*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/4)\/(-5)*(544\/(-24))\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 2*o**5\/55 - o**4\/11 - 2*o**3\/33 + 2*o**2\/11 - 6. Find c such that z(c) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 f when three letters picked without replacement from qqqfqqqfqq.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 847304008 to the power of 1\/2, to the nearest integer?\nAnswer: 29108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1296 + 11*k**4 - 14*k**4 - 12*k**4 - 3*k**2 + 9*k**2 wrt k.\nAnswer: -60*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 0 - -1) + -800. What is x rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -54.\nAnswer: 20\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 + 29 - 64)*(r + 0*r + 0*r).\nAnswer: -96*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -d - 3*d. Suppose 0 = -5*i + d*i + 6. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105 - -4451260?\nAnswer: 4451152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 816\/(-2106) + (-12)\/(-26) - (-112)\/(-54)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7)*(((q**6*q*q)\/q)\/q)\/q)**(2\/7))**23 assuming q is positive.\nAnswer: q**(1518\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61 times -1?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1723 and -4.\nAnswer: 6892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25178*m + 25175*m + 25752. What are the prime factors of m?\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) - (sqrt(200) + (0 + sqrt(200) - sqrt(200)))) + sqrt(200))**2 - sqrt(2)) + (sqrt(24)*-2)\/sqrt(12).\nAnswer: -3*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d*((d*d*d**0)\/d)\/d))\/d)\/d)**(4\/21)\/((d\/(d\/d**2))\/d)**(-18) assuming d is positive.\nAnswer: d**(122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46736 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*k - 44*k = -30. Let b(h) = 2 - h**2 + h + 3*h**2 - h**2 - 4. Give b(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*m + 121*m + 29*m - 1112520 = 0. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and -42.\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from mxmxmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 + 5*q)*(-2*q - q + 4*q) + (-5*q + 5*q - 3*q)*(-q + q + q) - 47*q + 47*q + 36*q**2.\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 5) in base 8?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -10\/3*t**4 - 18*t**3 - 42*t**2 + 0 - 36*t - 2\/9*t**5 = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9057 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 21 (c) 118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*f*x**3 - 8*d*f*x**2 - 2*d*x**2 - 54*f*x**4 + f*x**2 - 4*x**4 wrt x.\nAnswer: 12*d*f - 1296*f*x - 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 10*t**2 - 6*t - 25. Let l be j(9). What is the closest to -1 in -0.3, l, 0.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.06898*-1.3.\nAnswer: -14.389674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -10122011012?\nAnswer: 10122011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11707 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-4))\/((-2)\/39112). Suppose 0 = -6*x + 19739 - s. Suppose -2*p - x = -0*h - 5*h, 3*h - 5*p - 1466 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3.4. Let y = l - -0.6. Let j = -6409 + 6407. Which is the biggest value? (a) y (b) -0.1 (c) j (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228655202.\nAnswer: 2, 17, 6725153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 31, -9\/8, -1?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 3. Suppose 18 = 5*x - q. Suppose 4*i + 4500 = x*i. Round i to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -155, -359, -647, -1019, -1475?\nAnswer: -2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -1220818.1.\nAnswer: 9766544.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2 + 235*c**6 - 19*c**6 - 85*c**6 + 2*c**3 - 4*c**6 + 23*c wrt c?\nAnswer: 15240*c**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 218 - 213. Put o, 4, 8 in descending order.\nAnswer: 8, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**3 + 7*l**2 - 6*l + 8. Let v(t) = -8*t**3 + 8*t**2 - 7*t + 9. Let f(c) = -5*d(c) + 4*v(c). What are the prime factors of f(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108642635.\nAnswer: 5, 21728527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.096866 rounded to 3 decimal places?\nAnswer: -10.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 + 261380*y - 25619814150.\nAnswer: -2*(y - 196035)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1083 + -1083. Suppose -2*d = -q + 3 - 14, -9 = -3*d - q. Suppose d*t - 212 = -f*t. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o + 7. Let f be m(-12). Let c = f - -35. What are the prime factors of c\/8 - (-306)\/8?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 3)*(-7)\/(35\/82). Let f be (z - -10) + 2 + -1. What is f rounded 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 23\/2133 and -77\/873666.\nAnswer: 69019614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 218 + 50 + 69 + 25*o. What is the hundreds digit of n(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/4 - 401*s**2\/4 - 10296*s - 49005 = 0. Calculate s.\nAnswer: -198, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/3105676 and -93\/1274.\nAnswer: 282616516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -451001?\nAnswer: -451003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6829 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-220)\/165)\/((-42)\/(-9))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= 818175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23722\/5 + -4744. Suppose 0 = -4*f + 2 + 2. Which is the nearest to p? (a) -2\/5 (b) 2\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -15b76be?\nAnswer: 15b76c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -59. Suppose -v - p - x = -3*v, 4*v - 57 = -p. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -34.8. Let b = 0.2 - g. Let w = b - 4.1. What is the second biggest value in w, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 + (-40)\/(-240)*-576.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c\/(c*((c*c**(-4))\/c*c*c)\/c))\/c)*c**(-2\/9)*(c*c*c**(-4\/7)*c*c)\/(c\/(c\/(c*c**(-1)*c))) assuming c is positive.\nAnswer: c**(76\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -15*j**3 - 587*j**2 - 5719*j - 5130. Let r(g) = 5*g**3 + 196*g**2 + 1907*g + 1710. Let v(t) = 6*f(t) + 17*r(t). Determine q, given that v(q) = 0.\nAnswer: -19, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 775 - 775. What is the third biggest value in p, -0.2, -0.0829, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400492 divided by -1697\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 5*z**2 - 5*z - 10. Let l be f(6). Let s be (-2)\/(-35)*(l - 1). Let v = -1\/141 - -16\/47. Which is the biggest value? (a) 0.4 (b) s (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 454, 633, 856, 1129, 1458, 1849?\n\"Answer: q**3 + 16*q**2 + 124*q + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 69 - 66 + 262 - 70 - 57. Let b(k) = 65*k**2 - 9*k + 17. Let a(z) = 22*z**2 - 3*z + 6. Let n(w) = 17*a(w) - 6*b(w). Determine r(n(s)).\nAnswer: 16*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38709042 and 1992.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47840 + -27283. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8165053 - -3478753. Round r to the nearest one hundred thousand.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a week in minutes?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4 + 4489*t**3 - 5031022*t**2 - 15214404*t + 90801288 = 0.\nAnswer: -6, 3, 2246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17\/398464?\nAnswer: 17\/398464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23002 is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 7 + 18. Suppose 6*a + x*o - 80 = 4*a, 0 = -o + 4. Suppose 2*b = 44 + a. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, o: 1}. Give prob of picking 2 b.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 39 = 4*c. Suppose k - 176 = -c*r, 2*r - 450 = -3*k + 78. What is the greatest common factor of k and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183867 is divided by 168?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: cf22 (base 16) to base 7\nAnswer: 310411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*x - 56, 4*x = 60 - 88. Suppose 0 = g - 0 - 5. Suppose 0 = -3*s - n + 18, 5*s = -0*n + 4*n + 30. Solve g*p - s = k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**13)**7*q**(-12)*(q\/((q**(-30)\/q*q)\/q)*q)\/q assuming q is positive.\nAnswer: q**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 8*k + 9. Let q be 1\/(3\/6) - -5. Let d be n(q). Suppose -2*c = -2*y + 2, 3*y - d = 7. Solve 5*z + 15 = c*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 5)*(75*r - 613 + 613).\nAnswer: 225*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4144 + -13?\nAnswer: -4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3361392563 less than 1?\nAnswer: -3361392562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/19 + 9592*x\/19 + 105270\/19 = 0. Calculate x.\nAnswer: -4785, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -4*x + 12, 102*x - q + 6 = 104*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-3)\/p)*p**(-2\/9)\/p)\/((p*p**(-1)*p*p)\/p*p**(-1\/6)\/p) assuming p is positive.\nAnswer: p**(71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2, -3\/5, 0.5, -0.8, -108\/7?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*d + 387*d - 5*v = -112, -3*d + v = 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 8:05 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 5*f - 11 - 4, 3 = -5*b + f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79.9098 - -0.0902. What is the biggest value in -1, 1\/5, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -a88?\nAnswer: a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**2*m**2 + 2*l**2 - 1184297*l*m**2 + 2003*m**2 - 147 wrt l.\nAnswer: -2*l*m**2 + 4*l - 1184297*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s + 315. Let p be y(-39). Solve 0 = -3*f - 3, -3*f = p*k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2 - 5*j - 3. Let v(a) = 2*a**2 + 2*a + 1. Let x(g) = 3*i(g) + 8*v(g). Let t(d) = 3*d**2 + 3*d - 6. Give -t(u) + 5*x(u).\nAnswer: 2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 1. Suppose -t*d - 2*k + 67 = -d, -2*k - 50 = -4*d. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, o: 3, l: 2}. Give prob of picking 2 l, 1 o, and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121 - 107. Solve -k + 2*k = 5*p - q, 28 = -5*k + 4*p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.52? (a) -0.4 (b) -0.3 (c) -16 (d) -671\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1366*x + 1325*x - 36*x**4 + 162*x**4 wrt x?\nAnswer: 1512*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6600 divided by -1650.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2956198.6 rounded to the nearest one thousand?\nAnswer: -2956000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-12) - 152\/48. Sort 4, w, 0 in increasing order.\nAnswer: w, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1)\/(-13) + 27772\/3406?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -115*l + 61*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 10, -6, 3 in ascending order.\nAnswer: -6, -4, -3, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4649546382.\nAnswer: 2, 3, 13, 277, 215197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, 2, 17\/2, 21496?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 2:48 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7290043*c - 1 - 4 + 5 + 7290085*c.\nAnswer: 42*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*k**2 + 32*k + 169 - 2*k**4 + 9*k**3 + k**3 - 169 = 0. What is k?\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - h**2 + 0*h + 2*h**2 - 2*h**2 - h**2 + (-1 + 2*h + 1)*(h - 11*h + 20*h).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 31*r + 8. What are the prime factors of q(2)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(1 - -2) - 15168\/(-72) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118035 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 + 11*b**2 + 2*b**2 - 5*b**2 - 5*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51084, -101520, -151956, -202392, -252828?\nAnswer: -303264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 12:25 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 6:56 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -208282231 or -208282232?\nAnswer: -208282231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/11 (b) 2 (c) -6\/161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -15. Suppose 0 = j + w + g, j + 5*w = 2*j + 33. What is the units digit of 4\/j - (-512)\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 505*t - 513*t - 4208. Let v = t + 531. Which is the smallest value? (a) -1\/3 (b) 0.07 (c) v (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106440160 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4785 in 3\/14, -1, -241?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/5 - 656*q\/5 = 0 for q.\nAnswer: 0, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 12, -1\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*o = 38, 1 = 4*o - 3. Let s = 3 + h. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-10)*(3 + -8). Suppose -3*w + 12 - 48 = 0. Let a = j - w. What is the remainder when 10 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/120)\/((-11)\/5)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkkkkgkkgkkgkkgkk.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 77*y**2 - 6*y + 5. Is 7 a factor of p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 11. Let a be b(-11). Suppose -4*c + 2*c + 14 = a. What is the highest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23301 (base 6) to base 7\nAnswer: -12523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1286 * -0.5782.\nAnswer: -743.5652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-14) - 0) + 730\/140. Which is the smallest value? (a) 1\/8 (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1805, -1821, -1843, -1871, -1905?\nAnswer: -1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbpszbsqzssuzbsusbqb. Give prob of picking 1 u, 1 s, and 1 p.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3157)\/(-656)*70\/385\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74277*p - 74692*p + 21165 = 0 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(10\/6 + (-17)\/(-255)*-5). Let p(o) = -31*o - 3. Let k(y) = -32*y - 2. Determine b*k(r) + 3*p(r).\nAnswer: 35*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 4*t + 9*t + (1 - 2 + 0)*(2*t - 5*t + 2*t) - 6*t + 3*t + t)*(-2*t**4 + 2*t - 2*t)*(-1 + 1 - 2).\nAnswer: 28*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 84*o + 13. Let g(f) = -4*f - 2. Suppose 10 = -2*j + 4*b + 2, -9 = j - 3*b. Let z(h) = j*g(h) + q(h). Let u(p) = -2*p. Give z(u(k)).\nAnswer: -120*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = 17. Let l = t - -9. Suppose -v = -3*h - 3*v - 2, -h = -v - 1. Solve h = -4*o - 12, y - 19 = 3*y + l*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) + 64\/(-12) + 10. Suppose m + 76 = 3*m + q*r, 5*m - 3*r - 177 = 0. What is the greatest common factor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(128) + -4)*4 + sqrt(128)) + -5*(sqrt(128) + 3) + -2)**2*-5.\nAnswer: -815205 + 221200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002106 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -22*f + 2. Let q(d) = -64*d + 7. Let t(g) = 6*q(g) - 17*s(g). Let p(b) = -3*b + 3. Determine -8*p(v) + 3*t(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 13. Let p be (-2 - -21) + 5 + s. Which is smaller: 21 or p?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2311664 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 879*u**2 + 492*u.\nAnswer: 1758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1150\/13 - 13144\/143. Calculate the common denominator of 25\/8 and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.25642 - -4.256383. Let n = -12 - -7. Let s = n - v. What is s rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/9)\/(q*q\/(q\/(q\/(q\/(q*q**(3\/4))*q))*q)*q)*q**1*q*q*q**(-1\/11) assuming q is positive.\nAnswer: q**(371\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4 - 36002*i**3 - 323872*i**2 - 287872*i = 0. What is i?\nAnswer: -17992, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009263 rounded to six dps?\nAnswer: 0.000926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 12\/8)\/(4\/(-32))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 1:54 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-9) + 4191\/9. Suppose -5*f - 411 = -v. Which is smaller: 3 or f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-424)\/(-32)*(10 - 1 - 1) is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 43, 167, 375, 667, 1043, 1503, 2047?\n\"Answer: 42*h**2 - 2*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 7 - 8 = 0. Let y be z + (1 - (-861 + 4)). Is (-26)\/(-3)*y\/30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166738 divided by 583?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*c + 4*w, -2*c = -5*w - 9 - 11. Let u be 1 + (c - (-2 - 1)). Solve -u*m = 4 - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1 (b) -4 (c) -2\/7 (d) 2\/17 (e) 448\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 448839?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 138?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4992*r = -4662*r - 7260 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 6. Let v be 1 + s + (1 - 0). Let m(a) = -a**2 + 1. Let o(x) = 3*x**2 - 5. Calculate v*m(j) - o(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101 - 101?\nAnswer: 10001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -167758*j**2*l + 15*j**2 + 6515 with respect to l.\nAnswer: -167758*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -23, -4 in decreasing order.\nAnswer: -1, -3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1491.1 + -1555. Let u = 0.13 - -68.87. Let i = u + j. Round i to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4774616489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (102\/(-8))\/(2\/8). Let w be (-1583)\/(-22) - (-85)\/1870. Let b = n + w. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/18 + (-1 - 2). Which is the nearest to 0? (a) -2\/7 (b) d (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (580\/(-30)*36\/24)\/1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/10 and -77\/39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(33\/757) + 2\/11 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -50*y - 2. Let l(x) = 25*x + 1. What is 11*l(m) + 6*s(m)?\nAnswer: -25*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51963197 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 365258 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 294 and 105.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1882913?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-560)\/210*(-4)\/48.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5730 - 11463\/2. What is the nearest to -2 in 12\/17, -17, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/o**(2\/9))**(-9) assuming o is positive.\nAnswer: o**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8588.457kg?\nAnswer: 8588457000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -1.1. Let o = -0.99997 + y. What is o rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80 * 2.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, b: 6}. What is prob of picking 3 r and 1 b?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 y, and 1 t when three letters picked without replacement from {q: 6, n: 2, y: 1, u: 2, t: 1, s: 5}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4 + sqrt(48)\/sqrt(4))**2 + ((sqrt(132) - -2*sqrt(132))\/sqrt(11) - sqrt(12)) + 1).\nAnswer: -60*sqrt(3) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1 + 11483*f - 11480*f + 4.\nAnswer: 3*f + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 + 1456. Is 56 a factor of t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3511 + 2?\nAnswer: -350a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.7 - 9.64. Let n = 0.06 - i. What is the biggest value in -4, n, 3\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -5)\/(-11 + 14\/2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 13) in base 4?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = -4*y, 0 = 4*u - 3*y + 63. Let p be (-12)\/72 + 10\/u. Let d(k) = -2*k**2 + k. Determine d(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -80972, -81167, -81492, -81947, -82532?\n\"Answer: -65*s**2 - 80907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 2. Let k(o) = o - 5. Let a(s) = -2*k(s) + 5*z(s). Let f be a(1). What is the derivative of f + 2 - 4*l**2 + 3 - 3 wrt l?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -4. Let d = 103 - 108. Let x be ((-10)\/(-165))\/(2 + 5\/(-3)). What is the second smallest value in d, x, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3) - 4\/3. Let r be 10\/(-45) + (-2)\/(-9). Let t(x) = 2*x - x + 0*x + r*x + 2. Give t(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*o - 11, -27*r = 5*o - 83 + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-3) + -6 - -1. Let l be (4 - -2 - 3) + k. What is the second derivative of 3*o - 1 + l - o**2 - 8*o wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2\/15 + 1980448*u\/15 = 0.\nAnswer: -990224, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/3)\/(11\/198). Suppose s + r = 3*s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.01 or -2266535?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*x = -3*g + 42, -3*g - 3*x + 156 = 0. Suppose -120 = 33*a - 39*a. What is the remainder when g is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 20 (b) -3 (c) 0.3 (d) -0.1 (e) -1207\/2 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 11:21 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 - -1 - (7 + -5). Suppose 5*q - u - 1713 + 400 = b, 2*u = q - 259. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10641988000 to the nearest one million.\nAnswer: -10642000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 6*d**2 - 5*d + 2. Let y be c(-5). Let r = y + 2. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61807443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 9759 + 1114 = 0. Suppose -2*n + 15 = n, -n = c + f. Round c to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.33 - -3.5. Let t = 0.654 + b. Let i = 0.084 - t. What is i rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087 is divided by 572?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 7*p = -2*p, 2*p = -3*x. Suppose w - 4*o = -x*w + 253, -3*o = w - 246. Is (-2)\/((-3)\/w*2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 13*l**2 - 12*l + 3. Let f = 115 + -79. Suppose 2*i + i = f. Let g be a(i). Solve -3 - g = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -675, -1488, -2291, -3078, -3843?\n\"Answer: a**3 - a**2 - 817*a + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + 1231. Let p be m(0). Suppose 4*v + p = -4*f + 4483, v - 5*f = 813. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8658647 - -0.0027.\nAnswer: -8658646.9973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 97050767 a multiple of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24675.\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -29057 times 0.08\nAnswer: -2324.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2872, -2958, -3094, -3274, -3492, -3742?\nAnswer: -4018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 74 - 41 - 57*a**3.\nAnswer: -57*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s**2 + 76*s + 236. Give v(-3).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1791257171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 7*h - 6. Let x be n(-6). Suppose x = w - 4. Suppose -w*i = -30 - 30. What is the highest common factor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3786 - 1912 - 1907 - 113*v**2 to the form h*v**2 + z + k*v and give h.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/77, 1, -13, 34, 0.2, -4 in decreasing order.\nAnswer: 34, 1, 0.2, -4\/77, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 1824*p - 141696.\nAnswer: 2*(p - 72)*(p + 984)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3617659 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*z + 4476 = t, 0 = 3*t - 2*z - 4458. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6702 is divided by 5843?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - bc?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 14*d + 323. What is the units digit of b(-70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 - -111. Let y(v) = 2*v**2 - v + 7. Calculate y(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.091242.\nAnswer: -0.091242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 19. Let q = z - -27. Which is the nearest to -1? (a) 5 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**3 - 1038 + 1038.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1572*w = -953*w + 25998 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*w - 230 + 230)*(1 + 3*w - 7 + 4) in the form b*w + d*w**2 + q and give d.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74474 and 303968?\nAnswer: 492124192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 38*a = 0. Suppose 0*d = -5*c - 4*d - 141, -5*c + 2*d - 147 = a. Let l = c - -81. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -50, -68, -90?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152 + 152. Suppose -3*v - 2*s + 4 = 0, r = 2*v - s + 2. Factor 0*k**2 - 3\/4*k**3 - 3\/4*k**4 + 0*k + v.\nAnswer: -3*k**3*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1139)\/2)\/(342\/(-1)). Let a = x - 67\/19. Find the common denominator of a and -61\/14.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(1\/29))\/q)\/q*q*q*q**(4\/3)*q)**(-11)*(q*q\/q**(1\/2)*q)\/q*q**(6\/11)*q**(6\/5)\/q**(-6) assuming q is positive.\nAnswer: q**(-258791\/9570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622604 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/34*57\/3192?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((-2)\/(-94))*21798\/(-7266)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -557 - -589. Which is the third smallest value? (a) 3 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x - 3 - x**2 - 4 + 2. Let i be y(9). Suppose i*t - 31 = 17. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25526, -51029, -76530, -102029, -127526, -153021?\n\"Answer: r**2 - 25506*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 3) + 0 + 3. Suppose 2*n + 48 - 346 = -i*z, -z - 5*n + 95 = 0. Let r = z + -40. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253261 (base 10) in base 9?\nAnswer: -425361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*l = -234*l + 696. Suppose 0 = -77*s + l*s. Solve -10 + s = -10*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 3) + 111 + -125\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020211120 (base 3) to base 6.\nAnswer: 310110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -3 (b) -5 (c) 0.4 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-40))\/((-36)\/(-30))*(1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04337 times 2744\nAnswer: 119.00728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (-18)\/126*175\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606*w - 2070 = -624*w. Calculate the greatest common factor of 253 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d - 39 - 22*d**5 + 39 - 4 + 4 - d**5 + (0*d**2 - d**2 + 2*d**2)*(d**2 - d**2 - d**3) + 3*d**3 - d**5 - 3*d**3.\nAnswer: -25*d**5 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -17. Let u(d) = 2*d**2 + 14*d + 20. List the prime factors of u(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4254*y**2 + 55337*y + 471. Give u(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -1\/7*c**8 - 2*c + 0 + 0*c**2 + 0*c**6 + 0*c**5 - 13\/12*c**4 + 0*c**3 + 0*c**7. Find the third derivative of w(j) wrt j.\nAnswer: -960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3844*p**2. Let z(c) = -5176*c**2. What is z(d(x))?\nAnswer: -76482315136*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -68.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 312 - 312. Solve 4*w = -t - 0*t + 17, 3*t + 4*w - 27 = c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49420, -98845, -148270, -197695, -247120?\nAnswer: -296545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.098 - 4.198. What is x rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 23. What is s(-15)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1171 - 2.34269861?\nAnswer: -2.22559861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*t = 7*t - 1729, -2*t = d - 436. Let g = d + -146. Calculate the greatest common factor of g and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/(-6)*(-36)\/8. Suppose k = 2*v + 8. What is the lowest common multiple of v and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1\/6, 17?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 14825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49 take away -87218945173?\nAnswer: 87218945173.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 43270 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1475*k - 1550*k + 3378*k - 2*k + 3*k - 2*k + (0 + 0 + k)*(-1 - 1 + 0) + 3*k - 3*k - 2*k - 1 + 2*k + 1 in the form x + l*k and give l.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 7*f - 197. What is i(19)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2456 is divided by 493?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t + 6*t**2 + 5*t + 1 - 1 - t**3. What is the remainder when 41 is divided by g(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 33 - 4*z**2 + 26*z**2 - 111.\nAnswer: 25*z**2 - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glgg when four letters picked without replacement from {g: 6, l: 2, e: 10}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-27) + 65\/(-9). Let l(j) = -j + 2. Let s be l(c). Find the third derivative of -f**3 + 3*f**3 - s*f**3 + 2*f**2 wrt f.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86? (a) 0.4 (b) 3\/10 (c) -2 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/7 - (44 + (-12549)\/329)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**3\/3 + d**2 - 6*d - 5. Let v(w) = 2*w**2 - 4*w + 13. Calculate 4*v(x) + 9*y(x).\nAnswer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 254?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-108))\/(15\/24).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(24\/(-3))\/(-40).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r - 4898 + 7*r + 15*r.\nAnswer: 5*r - 4898","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 7447135*c + 81917880.\nAnswer: 5*(c + 11)*(c + 1489416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*k - 6, -k + 38*v = 33*v - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-39 - 3)*4\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -24283*n - 96983. Give p(-4).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 975 + -529. Let y = p + -443. Solve -1 - y = -3*j + 4*g, 3*j = -2*g + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 13526259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 329, 2, 4, -4 in ascending order.\nAnswer: -13, -4, 2, 4, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447640 is divided by 704?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 12*r**2 - r + 14. Let o be u(12). Solve 2*c + o = -0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**8)\/t**4)\/(((t*t**(-5))\/t)\/(t\/(t\/t**(2\/3)))))\/(t**(-2\/9)*t**(-4)*t**(1\/6)\/(t*t*t**(-4))) assuming t is positive.\nAnswer: t**(229\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 11532 in increasing order.\nAnswer: -7, 0, 11532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 27 - (7 + 7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.77.\nAnswer: 2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 70*o**2 - 7*o + 251. Determine z(35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 + n**2 - 15*n + 15. Give y(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 19, 31, 43, 55?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14\/9, 4, 0.4, 2\/11, -0.07?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-1 + 7\/9). Let l(q) = 2*q**2 + 25*q + 60. Let z be l(-9). Let k = -0.25 - 0.05. Which is the second biggest value? (a) k (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*a**3 - 676*a**2 + 168*a.\nAnswer: 4*a*(a - 42)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -15. Suppose -u*p + 2 = f, 3*f - 8*f = p - 28. Solve -5*y = -z + 18, -5*y - 3*z + 0*z = f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2120, 3192, 4268, 5348, 6432, 7520?\n\"Answer: 2*r**2 + 1066*r + 1052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 + 89. Is n at most -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1069*u + 25272 = 1810*u + 280*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 7*c**2 - 11. Give n(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*i*q**3 - 2*d**3*i*q + 36*d**3*q**3 - 10*d**3*q**2 - d**2*q**2*t + 4*d**2*q*t + d*q**3*t - q**2 wrt q.\nAnswer: 6*d**3*i + 216*d**3 + 6*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/1350*9*30\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 113527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 4*z**2 + z. Let h be t(-3). Let s = h - -20. Let q = 11 - s. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 405 and 74682.\nAnswer: 373410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2792163.\nAnswer: 3, 11, 211, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.56 and 0.28.\nAnswer: 0.4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1. Let o(r) = 2*r**3 - 54*r**2 + 462*r - 1271. Let z(h) = 3*k(h) - o(h). Determine f so that z(f) = 0.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 15*o + 33*o - 310 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 - 261 = 3*s. Let a = -33 - s. Calculate the remainder when a is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 7:40 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**3 - 3*s**3 - 3*s**3)*(44 - 18 + 29) to a*s + x + p*s**3 + c*s**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 17553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x - 27. Give r(-14).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-3 - -3) + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 25. Let q = d - -30. Let i = 3 - 2.7. Which is the closest to -0.5? (a) -4 (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-19)*f**(-8\/5)*f**(3\/2)*f*f**(-25) assuming f is positive.\nAnswer: f**(-431\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 - -204. Find the second derivative of d + 101*d + 26*d**2 + 17*d**2 - q*d wrt d.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1725476*k**3 - 1845024*k**2?\nAnswer: -10352856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*x + 235*x - 121*x.\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1580\/(-474))\/(16\/312).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -286 + 6007\/21. Let m be (-27)\/(-18)*(-4)\/6. Is i greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + u + 56 = 6*t, 2*t = -4*u + 10. What is the least common multiple of 32 and -3 + 2 - t\/(-1)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788868 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/(-54))\/((-1449)\/(-1518)*(-1)\/(-77))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 + 16*h**2 - 13*h - 5. What is f(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-20)*10\/165\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 31 + 13)*(2 - 2 + 2*g**3) as p*g**3 + f*g + m + h*g**2 and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1303*b**5 - 731 + 743 - 10*b - 5*b wrt b.\nAnswer: -26060*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/13))**(-2\/161)*((m*m**(-12))\/m)\/(m*(m**(-10)\/m)\/m) assuming m is positive.\nAnswer: m**(-2089\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 6 - 0. What is the second derivative of -i*h + 256 - 256 - h**2 wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x + 10. What is the remainder when d(5) is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -80.\nAnswer: -80, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 7*b**3\/6 - 33*b**2 - 2*b + 60. What is the least common multiple of 144 and i(10)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*s - 5. Let o(v) = -v + 7. Let q be o(s). Suppose 80 = 5*w + c, -2*w - 4*c = q*w - 48. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 s when four letters picked without replacement from {s: 3, j: 6, v: 2, k: 1, d: 2}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 2. Let c be b(9). Suppose -5*d - k + 25 = 0, 3*k = -3*d + c*k + 15. Suppose -g - 4*g + 25 = 0, d*q - 385 = -g. 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: Calculate the remainder when 1\/(3\/70)*(-9)\/(-6) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 1, e: 1, k: 3, s: 3, a: 1}. Give prob of picking 1 w and 1 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 132603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4555.95 minus -0.4?\nAnswer: -4555.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 24.4 and 1639521 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70071.\nAnswer: 3, 23357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4432089477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -26\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(-24)*28*1 is divided by 1\/((-1 - 0)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pup when three letters picked without replacement from uup?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17130 - 17117. Which is the closest to 0? (a) -2 (b) 0.9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7025 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3098702ms in microseconds?\nAnswer: 309.8702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -13*v**3 - 27*v**2 - 9*v - 13. Let x(h) = -2*h**3 - 3*h**2 - 1. Let d(m) = w(m) - 6*x(m). What is d(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -123*(-6)\/9 + -1. Suppose -3*x = -5*q + 135, y = q + 2*q - x. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from {l: 1, g: 2, a: 1, z: 1, j: 2, r: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 9*k + 24. Let l be z(11). Suppose 2 = 2*p - m, -m = 2*p + l*m + 6. Factor 0*a - 2\/3*a**3 + p - 4\/3*a**2.\nAnswer: -2*a**2*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4862828?\nAnswer: 2, 193, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -88. Let r be 8\/z - 304\/(-14). Solve -r = x - 4*k, -5*k = 3*x - 5*x - 29 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7575, 15111, 22647, 30183?\n\"Answer: 7536*n + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {z: 11, k: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8 = 5*d, -3*y - 2*y = -2*d - 10. Suppose 0 = -5*t - d*t + 1595. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + 2*o + 2 + 2*o - 2 + (1 - 1 - 1)*(o + 2 - 2) + 0*o - 2*o + o)*(0 + 1 + 0).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1491, 1488, 1483, 1476, 1467?\nAnswer: 1456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + u + 7, 5*k + 47 - 22 = -6*u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1945275196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*u - 46*u = 4*w - 34, 2*w = 4*u + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44, -48, -64, -98, -156, -244, -368?\n\"Answer: -g**3 + 3*g - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5))**(6\/5))**(-30) assuming l is positive.\nAnswer: l**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -57259, 5, -2, -4 in ascending order.\nAnswer: -57259, -4, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*t**3*v**3 + 132*t**3*v**2 + 2*t**2*v**3 - t**2*v**2 - 15*t*v + 2 wrt t.\nAnswer: -18*v**3 + 792*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 0) + (2 - 0). What are the prime factors of (-3206)\/(-56) + (-1)\/f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -39*h**4\/2 + h**3 - 125*h**2\/2 + 235. Find the second derivative of m(d) wrt d.\nAnswer: -468*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 14. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 352598252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 48980 and 69.69.\nAnswer: 49049.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045827 rounded to four decimal places?\nAnswer: 0.0458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4319.2 - 4319. Which is the closest to 1\/3? (a) -4 (b) w (c) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 4, 5, -5, 4376, -17 in decreasing order.\nAnswer: 4376, 5, 4, 0, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 817 divide 103200172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17475481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 3. Suppose 9*t = 33*t - 2472. Let r(s) = -50 - s - 49 + t - s. What is -5*o(w) - 4*r(w)?\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 + 4*u + 1. Let t be w(3). Suppose -a + 138 + 37 = 0. Let q = 162 - a. Is t greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 36*d**2 + 11*d + 21. Let y(g) = -35*g**2 - 13*g - 24. What is -7*t(q) - 6*y(q)?\nAnswer: -42*q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 3:51 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -823, -822, -821, -820?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1987415, -1987396, -1987377, -1987358, -1987339?\n\"Answer: 19*y - 1987434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 700174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s**3 - 74*s**2 - 37*s + 11. What is y(-10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + 774174\/51 + 106\/901?\nAnswer: 2, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 393*g - 390*g + 10943, -43727 = -4*i + 3*g. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2835\/4 - 708. Let g be ((-1)\/3)\/(8\/6). Sort q, 9, g in ascending order.\nAnswer: g, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25141148*q**2 - 2195*q - 739 wrt q?\nAnswer: 50282296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s**2 + 0*s + 51 - 1\/3*s**3. Let q(a) = -62*a. What is q(r(m))?\nAnswer: 62*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 2*o - 49. Let f be p(6). Calculate the remainder when 155 is divided by ((209 - 4)\/(-5))\/f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.37 - -130.58?\nAnswer: 118.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12236078.89671 - -12236144. Let d = 8617 - 8551.9. Let l = g - d. Round l to 4 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 1. Suppose 2*m + 80 = -3*q, 0*q - 12 = q - 3*m. Let s = 20 + q. Determine n(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 315698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11722*55\nAnswer: -644710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989 a factor of 276212243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6926 less than 0.4?\nAnswer: 3.0926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*v - 8*v**4 + 0*v - 3*v wrt v?\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 1092.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250762.\nAnswer: 2, 19, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220, 331, 904, 1511, 2164, 2875, 3656?\nAnswer: 4519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7*m**2 - 6*m**2 + 0*m**2)*(m**3 - 10 + 10).\nAnswer: m**5 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -321?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:12 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3314 - 0.2314. Let l = -1641\/11 - -149. Which is the nearest to x? (a) 14 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 9004, 3 in descending order.\nAnswer: 9004, 3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/19971 and 53\/639.\nAnswer: 1417941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78618, 157277, 235936?\nAnswer: 314595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/15 + 8\/40 + -3. Let j = -227 - -2041\/9. What is the closest to -0.1 in j, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 - 4394*y - 115596 = 0. What is y?\nAnswer: -26, 2223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*n + 7, -21 = -3*u - 4*n. Suppose -16*f - 250 = -5*c - 18*f, -f = 5*c - 245. Suppose 3*v - c = -0*v. Solve 0 = -z - u*z - v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 3320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498388 bigger than 1498373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3805 (b) 4 (c) 198.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f + 37. Let s(d) = d + 13. Let h(m) = 2*s(m) - z(m). Let k = -7 - -10. Let u be h(k). Solve v + 2*b + u = 4*b, 0 = -4*v - 5*b - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by ((-24)\/78)\/2 - 2545\/(-65).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 13*p - 4. Let u be v(-13). Calculate the least common multiple of (67 - 17)*u\/(-10) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -2 - 1\/2*b**2 - 2*b. Determine p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/330*12\/(-3)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26535 divided by 5307?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127766249\/2163 - 59069. Let r = z + 49741\/8652. Which is smaller: r or 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28857 is divided by 138?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*w - n, -n + 2 = -2. Let u = -563 - -90. Let j = -16553\/35 - u. Is j bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 + (29783 + -4 - 21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(80) + 2)**2 - 3*(sqrt(5) - (sqrt(60) + sqrt(360)\/sqrt(6) + sqrt(60))\/sqrt(12)).\nAnswer: 54*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + sqrt(3) + ((0 + sqrt(3))**2*6 - sqrt(3)))*-2 - (-3*(sqrt(105)\/sqrt(5) - sqrt(21)))\/(sqrt(175) - sqrt(175)*-3 - sqrt(7)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -9 - 5 - -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/10 + 31553\/(-1390).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -16, -1, 1\/4, 3, -61\/2 in increasing order.\nAnswer: -61\/2, -16, -1, 1\/4, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 8*w - 21 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -5*q**4\/12 + 20*q**3\/3 - 40*q**2 + 14*q. Factor a(y).\nAnswer: -5*(y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 809, 822, 835, 848, 861?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396532349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7139632 or 7139658?\nAnswer: 7139658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3\/5 + 13332914*q**2\/5 - 26665822*q\/5 + 2666582 = 0.\nAnswer: 1, 6666455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 53 (c) -0.4 (d) -1\/5 (e) -1\/11 (f) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*p - 5*r + 231, 295 = 5*p + 5*r. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.935995 centuries to millennia.\nAnswer: 0.6935995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 11*q**3\/5 + 878*q**2\/5 - 32*q = 0.\nAnswer: -80, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2 + (4\/3)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 + 3. What is the tens digit of l(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/120 - j**5\/30 + j**4\/4 - 5*j**3\/6 + 35*j**2. Let f be i(-4). Solve 5*r = f*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1392.6539817 to one dp.\nAnswer: -1392.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in months?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5\/5 - 12*d**4\/5 - 213*d**3\/5 + 1206*d**2\/5 - 108*d - 1944\/5 = 0. Calculate d.\nAnswer: -9, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(4 - 4 - 2)*(0*m + 0*m + 3*m).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, -1, -2\/39, 1.3, -1080?\nAnswer: -1080","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 6*c**2 - 3. What is l(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - 1 - -3) - (-1 + -22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**4\/6 - 3*i. Let h(x) = -6*x**2 + 5*x**2 + 5*x**2. Determine o(h(z)).\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -9*i**2 + 1 - 42*i + 41*i + 8*i**2. Give h(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2 - 388*t - 995*t + 292*t - 658*t. Let i(y) = 3*y**2. Calculate p(i(h)).\nAnswer: -5247*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -86, 30, 256, 628?\nAnswer: 1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, n: 5, j: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1527235740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26105303\/3355488 - -95\/18336. Let w be (1\/(-6))\/((-122)\/46). Let r = a - w. Find the common denominator of r and 57\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 12:41 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 9*d**2 - 13*d + 40. Let j be s(10). Let y(m) = 4*m. Let i(f) = 2*f. Determine j*i(z) - 4*y(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**5 - 16*d**4 + 188*d**3 + 1256*d**2 + 2336*d + 1280 = 0?\nAnswer: -5, -4, -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 256993 divided by 1\nAnswer: 256993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 8*p**2 - p + 11. Let x be v(8). Let y be -1*(21 - x) - -1. Let j = 17 + y. Which is smaller: j or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 19*a**3 - 6*a**2 - a - 20*a**3 to z + s*a + c*a**3 + h*a**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1 + 4*h + 4 + 1 + 4 + h**2. Let p be u(-4). Suppose 2*v = -p, 2*v = 5*z - 158 - 35. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -1\/30*j**6 + 17\/20*j**5 + 68*j - 1\/4*j**4 + 0*j**2 - 19\/6*j**3 + 0. What is the third derivative of d(h) wrt h?\nAnswer: -24*h + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - (-10 - -2)) + (-9 - -34)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.23727 - 0.05999. What is w rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34249158 divided by 534\nAnswer: -64137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198 - 190. Let d be h\/20*(-14 - -24). Solve -4*q + 2 = 2*s - 0*s, -12 = -d*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 3385, 12484, 30205, 59422, 103009, 163840?\nAnswer: 244789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36220499?\nAnswer: 7, 1321, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 63*s - 9490. Give r(147).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 0.04, 3 in increasing order.\nAnswer: 0.04, 0.13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003891 to four dps.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.15 (b) -0.3 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27142729.\nAnswer: 881, 30809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 2*t - 1. Calculate m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 726509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126546 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbvhowbwbhohrrvw. Give prob of sequence vrr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*2\/30)\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -73 - 1. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50107 - 146?\nAnswer: 47741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -14077636.145 and 4.\nAnswer: -14077632.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4345493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000157791 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*j + 75 = 0, 0 = j - 3 - 0. Let m = 0 - -3. Suppose m*k + 0 = 9. Calculate the highest common factor of t and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a - 14. Let d(v) = 6*v + 13. Let j(o) = -6*d(o) - 5*l(o). Differentiate j(m) wrt m.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1282 divide 123239915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3 - 302*n**2 - 2870*n - 7050 = 0.\nAnswer: -141, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**4*s*s**8\/s)\/((s**(3\/7)*s)\/(s**1\/s)))**(-13) assuming s is positive.\nAnswer: s**(-325\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 14.983. Let y = -0.183 + r. What is the closest to y in -1, 3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10 + 26*s - 7 + 2 with respect to s.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**5 + 285*d**4 - 545*d**3 - 285*d**2 + 550*d = 0. What is d?\nAnswer: -1, 0, 1, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 103564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**8\/40320 + g**7\/3780 + g**6\/864 + g**5\/360 + g**4\/6 - 4*g. Let z(r) be the third derivative of i(r). Solve z(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7034 divided by -46.\nAnswer: 3517\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4481687.\nAnswer: 7, 91463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 3*g**2 - g + 4. Let l(s) = -s - 12. Let u be l(-12). Let q be (10\/5 - u) + 1. Let x be b(q). Is x bigger than 1\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 - -25) + -17 + -7 - 12.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 minutes before 12:53 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 4 (c) -2 (d) -6993 (e) -4 (f) 5 (g) -3371\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349013038 to the power of 1\/2, to the nearest integer?\nAnswer: 36729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -15.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13757.\nAnswer: 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*c + 2*c**3 - c**3 + 479*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10*c - 2. Let o(u) = -20*u + 4. Suppose 856*a + 77 = 867*a. Give a*t(d) + 3*o(d).\nAnswer: 10*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3 - 458*g**2 + 31694*g - 691014 = 0. Calculate g.\nAnswer: 53, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 591 - 449. What is the remainder when z is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, 4, -3404 in decreasing order.\nAnswer: 4, 0, -0.1, -3404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359809747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okqlouukuuouoouoouu. What is prob of picking 3 o and 1 k?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j + 9*j - 7*j + 0*j + j - 2*j + (5 + 0 - 3)*(-1 + 1 - j) - j + 6*j - 4*j - 2*j + 4*j + j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f - 5*c - 590 = 0, f = 4*c - 174. Let t = f - -438. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*j - 6 = 0, 8*d - 4*j + 8 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 2104?\nAnswer: 210b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3074 (base 10) in base 6?\nAnswer: -22122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 892927 divided by 18223?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 0.15 (c) 0.04 (d) -0.63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 20 = 6*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*c**4 - 5\/2*c**2 + 0 - 15*c + 10*c**3.\nAnswer: -5*c*(c - 3)*(c - 2)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-5)*s)**(9\/5) assuming s is positive.\nAnswer: s**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 0*h**4 - 2\/105*h**7 + 0*h**6 + 0*h**5 + 0*h + 3*h**2 + 1\/6*h**3 + 0. What is the first derivative of q(i) wrt i?\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -14219*o**3 - 12*o**2 - 16*o - 17. Let k be t(-11). Suppose 0 = -2*w - 6, 6755795 + k = -3*x + 3*w. What is x rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42732077*q - 3*q**2 - 42732096*q - 6*q**2.\nAnswer: -9*q**2 - 19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44330652 divided by 136823?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 19a0291?\nAnswer: 19a0290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from ueeeeeaeugaueeeegeae.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78 + 19*w**2 + 78 to o + c*w**2 + d*w and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6))**6)**(1\/8) assuming a is positive.\nAnswer: a**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 3*w**5 - 89*w**3\/6 + 28*w. Find the second derivative of u(o) wrt o.\nAnswer: 360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220576676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 15*g. Let j(b) be the first derivative of -7*b**2\/2 + 12. Let p(u) = 9*j(u) + 4*y(u). Let l(t) = -10*t. Give l(p(f)).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 7) in base 10?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1513985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -3270.3 in increasing order.\nAnswer: -3270.3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3531 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0 + 0)*(3 - 5 + 4) + 2*t + 2 - 2 + 8*t + t + 3*t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/3)\/((-5)\/15). Suppose -u - v + 24 = 0. Let q = u + 3. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.05 - -5. Let u = -4.95 + f. What is the smallest value in -7, 1\/7, u?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 536712781 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10.22*0.5\nAnswer: 5.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**7\/21 - 37*x**6\/30 + 7*x**4\/12 + 20*x. Find the third derivative of y(p) wrt p.\nAnswer: 120*p**2 - 888*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1453942663 or -1453942662?\nAnswer: -1453942662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13962 and 1443.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 74. Let h = p + 56. Sort h, 4\/59, 0.\nAnswer: h, 0, 4\/59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5046594 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -247 + -1596?\nAnswer: -1821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1082.74632 to zero decimal places.\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 65 = -4*h, 2*h + 24*n - 55 = 27*n. Solve 2*x - 5*t - h = -18, 5*x + t + 22 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7962, 7983, 8004, 8025, 8046?\nAnswer: 8067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5048)\/(-252400) - (-12902)\/(-100).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**8)\/(h*(h*h\/h**(1\/29)*h*h)\/h))\/(h**(-8)*h)**36)**46 assuming h is positive.\nAnswer: h**(342884\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -110201 (base 3) in base 12?\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 87.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23463972 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.17 - 3.67. Let x = -0.098 - 0.902. What is the third biggest value in x, 0.3, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**8\/1008 - t**7\/630 - t**6\/360 + t**5\/180 - 240*t**2. Factor c(m).\nAnswer: m**2*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1639, -1990, -2447, -3010?\n\"Answer: -53*v**2 - 192*v - 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -772 - -5370\/7. Which is smaller: -6 or q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85323 = -25*t + 64752. List the prime factors of t.\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-4))\/(12\/(-8)). Let o = 303\/4 + -605\/8. What is the biggest value in -2, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36529426?\nAnswer: 2, 409, 44657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*83912.\nAnswer: 83912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5625*y**3 + 78*y - 40*y - 14*y - 24*y in the form c*y**2 + b + p*y**3 + k*y and give p.\nAnswer: -5625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 3*q. Let v be w(4). Let m(t) = t**2 + 3*t + 3. Suppose 0 = 8*d + d - 306. Calculate the remainder when d is divided by m(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/18)\/((-168)\/378).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 - -79. Let u = -0.01 - 0.39. What is the smallest value in 0.5, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 q when three letters picked without replacement from hqzhheheeeezeezezqee.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - -2) + -869*(-9)\/(-495).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 680 and 49492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 120*f**2 + 1000*f - 47. Let l be w(111). Calculate the highest common divisor of l and 10432.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -3\/2*a**3 - 8 - 9\/4*a**2 - 3\/8*a**4 - 3\/2*a. Suppose y(l) = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 - 51 = -2*d. Let b = 96 - d. Let h = -1.4 + 1.34. Which is bigger: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3628 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4013019700 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 321289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*g**4 + 3194164*g**3 - 464*g**2 - 2*g + 35642.\nAnswer: 360*g + 19164984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 4 (c) -2.72 (d) 0.4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 9*c + 4*c + 37 = 0, -85 = -13*c - 33 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11140 or 11142?\nAnswer: 11142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0, -25.671 in ascending order.\nAnswer: -25.671, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 1957*d**6\/30 - d**4\/12 - 1105*d**2\/2 - 4*d + 2. Find the third derivative of k(q) wrt q.\nAnswer: 46968*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let i(s) be the second derivative of s**4\/6 - 13*s**3\/6 + 9*s**2 - 155*s. Let w be i(3). What is the closest to -2 in 0.3, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2172712*l + 8100 = 2172550*l for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**4\/6 - 2*n**3 + 5*n**2 + 269*n. Factor q(u).\nAnswer: 2*(u - 5)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 66, 3735 in decreasing order.\nAnswer: 3735, 66, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 2*z + 3, -3*q - 8*z + 107 = 136 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164908*u + 3694 - 1842 - 1852.\nAnswer: 164908*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + j = p - 26, j - 46 = -4*p. What is the tens digit of ((-945)\/p)\/((-14)\/56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 6*g**2 - g - 4. Let q(a) = -a**3 - 6*a**2 - 3. Let m(c) = 2*f(c) - 3*q(c). Let p be m(-6). Let h = p + -5. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4622 - 4013. Calculate the remainder when 1222 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 9*z - 10. Let w be c(7). Suppose -8*m = w - 20. Solve 0 = 3*r + m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-1\/2)\/n)\/n*n**(-4))**(-9) assuming n is positive.\nAnswer: n**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2405566963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-82)\/((-8)\/(-12)*-3). Suppose -4*y = -h - w, 4*y - 3*h = -11 + 62. Calculate the smallest common multiple of y and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*i = 5, -5*v - 4 = -v - 2*i. Let f be (-9)\/(-6)*14\/(-3). Let q(j) = -15*j**2. Let g(o) = 7*o**2. Calculate f*g(z) + v*q(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/16*18 + 21 + -21)*-2. Solve 62*q - 151 + v = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q - 4*q + 5*q - 5*q - q**3.\nAnswer: -q**3 - 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x - 17. Suppose -i + g - 14 = 0, -38*i = -34*i + 5*g + 101. Which is bigger: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**2 + s + 1. Let r = 16 + 3. What is the remainder when r is divided by t(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 18. Suppose -5*u = -3*f + 34, u = -2*f - 0*f + 40. Calculate the lowest common multiple of n and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 10 - 0. Solve 0 = 2*c + y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1115306.\nAnswer: 3345918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-72 + -42)) + -8?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 196.787224.\nAnswer: 198.787224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Let n = -271.6 - -271. What is the nearest to 0.1 in -2, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2252361 take away -0.7?\nAnswer: -2252360.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w + 3. Let d(n) = 26*n - 16. Let z(y) = 3*d(y) + 16*k(y). Let x(i) = -3*i**2 - 4 + 3 + 1. What is z(x(u))?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -1)*(-2 + 1). Which is bigger: d or -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 250*w + 129*w + 121*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 33 = 6*r - 5*r, 5*r - 138 = -2*c. Let y = -8 + 18. Calculate the remainder when r is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x = 46*x - 21960. Let i = x + -438. Suppose c = -i + 11363. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 50?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23050.8*-1917.\nAnswer: -44188383.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*j**3*q**2 - 543*j**3 - 47*j**2*q + 2*j**2 + 7*j*q**2 + 28*q**2 wrt j?\nAnswer: 306*q**2 - 3258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 0*a - a)*(9*a - 2*a - a)*(-8 - 1 + 3)*(-4*a - 3*a + 5*a + (1 + 2 - 4)*(1 - 1 + a)) as k*a**2 + t*a + l*a**3 + c and give l.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1968768030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 14 - 48)*(b**2 - 2*b**2 - b**2)*(4*b - 5*b + 3*b).\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73957, -73952, -73943, -73930, -73913, -73892, -73867?\nAnswer: -73838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8526*o + 2205. Let h(i) = -289*i + 75. Let l(t) = 147*h(t) - 5*j(t). Let y(x) = -5*x**2. Give l(y(q)).\nAnswer: -735*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -131 divided by -55\nAnswer: 131\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14\/4*((-1140)\/133)\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from mmyymymmymm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -c - 13, -2*f + 30 = -7*f - 4*c. Let p(d) = -d + 4. Let h be p(9). What is the closest to -1 in f, h, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 3*x**2 - 5*x**2)*(-8*x - 7 + 7) - 5 - 1118*x**3 - 772*x**3 - 1371*x**3 + 5.\nAnswer: -3245*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 24 = 2*y, -5*y + 25 = 75114*t - 75110*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/8 (b) -5 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 129022940 and 28?\nAnswer: 903160580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-38)\/(-6) + -5)\/(3\/783). Let r = y - 294. What is the remainder when 105 is divided by r?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -20244, -0.1, 12\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + z + 10846 - 6*z - 10329.\nAnswer: -2*z + 517","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1428\/11 - -130. Let c(q) = q + 1. Let k be c(-2). Is a smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 + 66. Solve 4*p = p + 3*o - 6, p - b*o = -12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**2 + 2*q**2 - 2 - 3*q**2 + 2*q)*(33 + 66 - 345) to the form m + f*q**2 + c*q and give f.\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 4:00 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 17 + 503 = 4*y, y + 656 = 5*p. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 38. Determine z(18).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166900712 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9092 and 118196.\nAnswer: 118196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542356 is divided by 1226?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120 (base 3) in base 10?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.289087 kilometers?\nAnswer: 289087000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006783 to 5 dps.\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**8\/56 + j**4\/4 - 3*j - 4. Let s(r) be the first derivative of o(r). What is the third derivative of s(t) wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + z**2 + z + 7. Let j be i(2). Put -1, -0.6, 4, 0.2, j in decreasing order.\nAnswer: j, 4, 0.2, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -5*t + 19, 5*t - 33 = -3*n + 7*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.037 - 27992.\nAnswer: -27991.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 2, 0.2, -0.3, 243, 2.1 in descending order.\nAnswer: 243, 2.1, 2, 0.2, 0.06, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*u - 18 = 5*n, -18 = -3*n + 3*u. Calculate the greatest common divisor of n and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-25)\/(d**(-28)*d) assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143241, -143226, -143197, -143148, -143073?\nAnswer: -142966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 10:14 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(28)).\nAnswer: -4*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + -6 - (-7 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.76.\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - (0 - 1)) + (4573 - 4588).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/175)\/((-192)\/(-540)). Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94090447 is divided by 1437.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*((n\/((n*n**(1\/8))\/n))\/n)\/n*n))\/(n*n**(-5)))\/(n**(-5)\/(n\/(n*n**6*n*n*n)*n)) assuming n is positive.\nAnswer: n**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3436920*u**3 - 2*u + 2*u + 3436922*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 58, 125, 218, 337?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 730832.8l?\nAnswer: 730832800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62502896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 479*b - 206898. Calculate s(432).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 7*a - 4523. Is 4 + (-68)\/16 + a\/4 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3297 and 1092.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 83 = 3*p, -4*p + 69 = 4*f - 39. Suppose -a = 22 - p. Let z(b) = 6 - 3*b + b**3 - 2 + 4*b**2 - 2*b**3. What is z(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -12, -4, 1867 in decreasing order.\nAnswer: 1867, -1, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -263*g**2 + 290 - 28*g + 259*g**2 - 114 = 0.\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*f - 1398 + 16201 = -2354 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5221 - 0.1221. Let o = 2.3 + -2. Sort f, 1\/2, o, -0.1 in descending order.\nAnswer: 1\/2, f, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3 - 50149*n**2 - 1003361*n - 953211 = 0.\nAnswer: -19, -1, 50169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/2*4*(-8)\/(-96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x - 2*x**2 - 36*x + 19*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5166 divided by -9.\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -68858 (base 12) in base 9?\nAnswer: -232265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + ((sqrt(2736)*-2 + -5)*-3)**2 - ((sqrt(2736) - ((sqrt(2736) + sqrt(2736) + sqrt(2736)*1)*2)**2)*6 + -4)).\nAnswer: 2088*sqrt(19) + 689708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.5 + -6. Let u = -54 + 53. What is the third biggest value in u, j, -2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166549068 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2180 + 2269 = 2*n + 6*n - a, -3*n + 37 = -4*a for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwou when four letters picked without replacement from mmmmummwxommmmmmomm?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {a: 1, u: 1, v: 5, m: 4, e: 5}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n**2 - 4*n - 3. Let t(l) = -15*l**2 + 8*l + 5. Let y(d) = -5*a(d) - 3*t(d). Let m(p) = 5*p**2 - 3*p. What is -4*m(k) + 3*y(k)?\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*v**3 - 155*v**3 - 184*v**3 + 476*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3875 (base 9) to base 7\nAnswer: 11315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**5\/60 - c**4\/4 - 7*c**3\/6 - 268*c**2 + 5. What is d(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96? (a) 0.5 (b) 0.01 (c) -746\/13 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16 - (-2 - 2*-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - 10) + 6 + 3729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2721 (base 9) to base 5.\nAnswer: -31134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 471 - 459. Solve -w*a = 5 + 31 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*a - 3*a + 246, -a = 5*g - 602. Calculate the remainder when 419 is divided by g.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/3623 or 0.1?\nAnswer: -3\/3623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -2 + -3 + 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u = -3*n - 204, 5*u + 343 = -2*n. Let d = u - -73. Suppose d*l - 17 + 1 = 0. Solve 20 = -l*o - 0*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one eighths of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (968*w + 715*w - 1004*w)*(-w + w + w + (1 + 2 - 4)*(2 - 2*w - 2) - 2*w + 0*w + 3*w).\nAnswer: 2716*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7121415.\nAnswer: 3, 5, 7, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 510 + 402 = 0. Let n = d - 216. What is the remainder when 88 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - r + 0 + 3*r)*(-3*r**2 + 2*r**3 + 3*r**2 + (-r**2 + 3*r**2 + 0*r**2)*(0*r + r + 0*r)).\nAnswer: 8*r**4 - 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*sqrt(192))**2.\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q + 8*q - 19*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13780 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = 4*d - 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8796377.\nAnswer: 743, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 12:27 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(d - d + 2*d) - d + 3*d - d + (-3 + 2 - 1)*(-d - d + 0*d) + 3*d - 4*d - d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/1 + 12\/2. Suppose -a = a - x. Solve 0 = -a*j - 12, o - 3*j = -0*j + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43674*q + 21845*q + 21831*q - 12484 in the form t + y*q and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2735787.\nAnswer: 3, 101, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, w: 2, y: 5}. Give prob of picking 2 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 98?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/6 and -61\/124?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**2 + 3*q. Let u be t(5). Let z = u + -161. Solve -4*w + s = -0 + 3, -2*s = z*w + 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1eee (base 16) to base 14\nAnswer: 2c58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 186536 divided by 28\nAnswer: 6662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 4*o - 1. Let s be r(-3). Let x be 3 - (s + (5 - -3)). What is the units digit of (7\/x)\/(2\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26906619 to three dps.\nAnswer: 0.269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -41011420 (base 5) in base 12?\nAnswer: -13a475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 4:34 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 859*z**2 + 54*z - 294*z - 86*z + 0*z**3 + 2.\nAnswer: -2*z**3 - 859*z**2 - 326*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5401.63 rounded to the nearest 10?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z - 25. Let l be m(-5). Suppose -4*t - 3*s = 29 - 81, l = 3*t + 2*s - 39. Solve 0 = 2*h + 5*a + 11 + t, 2*h - 8 = 3*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w**2 + 4*w + 27. Let p(j) = -19*j**2 + 6*j + 40. Let c(t) = 7*o(t) - 5*p(t). Let z(l) be the first derivative of c(l). Differentiate z(k) wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/11 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2*h + 0*h)*(-2 + 0 + 3) - 2 + 2 + 4*h + (-3 + 2 + 0)*(-2*h - 3*h + 6*h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22848 minus 4017.052281?\nAnswer: -26865.052281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 691731 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*p - 58, -2*p + 2*w + 7 = -3*w. Let j be 994\/329 + 2\/(-94). Solve j*g = -g + p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -189.68 - -1.88. Let t = -154 - m. Round t to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1385 - 4*s**2 - 7*s**2 + 1384 + 2*s + 2*s.\nAnswer: -11*s**2 + 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 727352744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7025 (base 13) in base 12?\nAnswer: 8b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from mhememmseev?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-11*(1 + -2). Suppose 0*d = -2*d + 4*f - s, -d - 2*f + 9 = 0. Let k be 8\/(-10)*(-40)\/16. Which is the smallest value? (a) d (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:48 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u - 16 + 53*u - 8 - 1 + 35*u.\nAnswer: 111*u - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8*46*462\/(-37191))\/((-11)\/(-4)).\nAnswer: 4\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 4*t**2 - 5*t**2 + 4*t**2 + (2 - 3 - 1)*(-2*t**2 + 3*t**2 - 3*t**2) - 5*t**2 + 0*t**2 + 6*t**2 + t**2 - 5*t**2 + 2*t**2 + 0*t + 3*t**2 + 0*t.\nAnswer: 9*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -9 - -9 - 2*-4 and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - k**2 - 10*k - 5. What is v(-5)?\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1413739*b - 1413945*b + 2827928*b.\nAnswer: 244*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**2\/2 - 2*j - 177. Let v(t) = -19 + t**2 + 19. Give v(x(m)).\nAnswer: m**2 - 4*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*u - 37861 = 23756 - 2641. What is the remainder when u is divided by 98?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.59029 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h. Let m(x) = 159*x**2 - 2*x. Give m(c(o)).\nAnswer: 2544*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007693 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**8\/6720 - d**7\/504 + d**6\/720 - d**5\/15 + 5*d**4\/3 + 15*d**2. Let k(v) be the second derivative of t(v). Determine k(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30 - (-2 + 3 - 2). Suppose 157 = 4*x + 5*s - 2*s, 2*s = x - t. Calculate the remainder when x is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 + -54 - (2 - -6)) + 18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47 - 41) + 17 - 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 53 = -x, 2*n + 141 = 3*x - n. Let k(j) = -j + 8. What is the smallest common multiple of (18\/(-8))\/((-11)\/x) and k(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, l: 6, w: 4, k: 3}. What is prob of picking 1 w and 1 o?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**2. Let r(j) = -3*j. Suppose -3*u - k - 11 = 0, -3*u = -2*u - 3*k - 13. Let a(p) = 3*p. Let t(i) = u*r(i) - 3*a(i). Determine s(t(y)).\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4239 * -0.2159\nAnswer: 915.2001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7626.\nAnswer: 2, 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 334240230 (base 5) to base 2\nAnswer: 101101000101110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -330, 10, 8.\nAnswer: -330, -2, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*n = 124*n - 87243 - 12088. What are the prime factors of n?\nAnswer: 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -148 - -195. Calculate the remainder when o is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = c + 240, -5*c + 6*c + 722 = 3*l. What is the remainder when l is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:42 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164 + -100. Solve 16*d**5 + 62*d - 230*d - 30*d**4 + 152*d**3 - 36 - p*d**2 + 70*d**4 + 60*d**4 = 0 for d.\nAnswer: -3, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/70)\/(-10*(-8)\/200).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 702730 by 702730.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - r + 2. Suppose t - 4*t + 6 = 0. Let j be 0\/((-1)\/(t\/(-4))). What is the units digit of w(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47.3*-9.7\nAnswer: -458.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 129*k - 954. Calculate the smallest common multiple of j(8) and 2338.\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h - 1. Let f be y(-1). Solve c = f*w + 9, 4*w + 6 = 4*c - 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 9:41 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**3\/13 - 44*c**2\/13 - 192*c\/13 + 576\/13 = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*x + 61*x + 255 + 69 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 g when three letters picked without replacement from {g: 3, o: 1, e: 3, v: 1, l: 1, t: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2556, -6377, -12740, -21639, -33068, -47021, -63492, -82475?\nAnswer: -103964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -299123665 - -299082030.1958. Let z = f - -41390.804369. Let a = z + 244. What is a rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, 9, 37, 85, 159, 265?\n\"Answer: l**3 + l**2 + 4*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/10)\/((-128)\/1941320). Let n be 12158\/4*(-3 + 1). Let k = n - x. What is the common denominator of 73\/8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-60))\/(9\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-12)*21\/1323.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -10699, 4, 9, -5 in decreasing order.\nAnswer: 9, 4, -5, -11, -10699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l + 20*l = 2*x - 10, -5*l + 3*x + 7 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -21*a**2 + 9*a + 2. Let t(k) = 62*k**2 - 26*k - 7. Let x(r) = -7*d(r) - 2*t(r). Find the second derivative of x(s) wrt s.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3)\/(-4*(49\/(-77))\/(14\/(-77)))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 7*g**4\/24 - 6*g**3 - 6*g**2. Let s be n(6). Solve 5*d - 26 = -s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 21775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -159*r**3 + 4*r**2 - 214*r + 425. What is o(2)?\nAnswer: -1259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 21*a**2 - 9*a - 22. Let z(r) = -4*r**2 + 3*r - 1. Let n(o) = s(o) + 5*z(o). Calculate n(-11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - 48236.29514996.\nAnswer: -48236.23514996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1 (c) -4\/15 (d) -2 (e) -28 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -22*m**3 - 13*m**2 - m + 424. Calculate k(0).\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3446156444?\nAnswer: 2, 1307, 659173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -393, -573, -769?\nAnswer: -981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5079617 - 5079639.0000174. Let b = 22 + r. Round b to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 8*l**2 - 12*l - 12. Let d be n(-9). Suppose -9 = -4*u - k, -4*k - d = -5*u - 9*k. Solve -2*j + u = -x + 5, 9 = j + 3*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 28. Which is greater: 7 or b?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*s**3 + 1507*s**2 + 1109*s - 317351111 wrt s.\nAnswer: -45*s**2 + 3014*s + 1109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j - 2*j)*(0*j - j**2 + 0*j) + (4959*j - 338 + 6 - 4958*j)*(j**2 - 14*j**2 + j**2).\nAnswer: -14*j**3 + 3984*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(6) + -1)*3*-5 - (sqrt(2880)*5 + -2)**2)*-6.\nAnswer: -2790*sqrt(5) + 431934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 14 = 3*f + 4*z, 5*z = -4*f + 85. Let w = 1632 + -1612. Calculate the highest common divisor of w and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 5:55 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 20 + 92 - 94 - 85*u.\nAnswer: -85*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -633, -1259, -1885, -2511?\n\"Answer: -626*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p + 12. Let l be 1\/p - (-3)\/(-36). Let h = 33 + -33.2. Put 3, h, l in decreasing order.\nAnswer: 3, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188244 divided by -2988?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/9*(-54)\/45.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 10, -9*v + 3*w - 13 = -5*v. Let i(h) = h**3 + 9*h**2 + 15*h + 12. Let s be i(v). Solve -11 = s*p - u, -1 - 4 = -5*p + 5*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -28, -37, -46?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 367*l**2 + 62 wrt l.\nAnswer: 734*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/2871153 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 - -80. Suppose 3*x = -b*g + 19, 4*x + 4*g = 5*x + 5. Suppose -297 = -x*n - 4*r, 297 = 2*n + n - r. What is the greatest common factor of 33 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3761.1 and 39722138.\nAnswer: 39725899.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, 0.2, -310, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489569340.\nAnswer: 2, 5, 7, 29, 366889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110320?\nAnswer: 2, 5, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56280 and 5159?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/45 and 89\/651.\nAnswer: 9765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyys when four letters picked without replacement from {y: 16, s: 2}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let x(s) = 1. Suppose c + o = 10, -3*c = 3*o + o - 35. Let f(k) = k + 5. Let p(h) = c*x(h) - f(h). What is p(i(m))?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d**3 - 4*d**2 + 5*d - 66. Let j(i) = 5*i**3 - 3*i**2 + 4*i - 66. Calculate 3*a(o) - 4*j(o).\nAnswer: o**3 - o + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r - 1513 = -996 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 655*q + 137008 + 636900 = 689*q. List the prime factors of q.\nAnswer: 2, 19, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = 5*j + 18. Which is greater: j or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310150?\nAnswer: 2, 5, 26203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139667741 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/15 and -67\/2151063.\nAnswer: 10755315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**4\/2 - 50127*p**3 + 8375661*p**2\/2 - 835561*p = 0.\nAnswer: -20134, 0, 1\/5, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3953*u*w**3 - 889*u - 3*w**2 wrt w.\nAnswer: -23718*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 25831.8, 1\/14, -3, -2, -0.1?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 9. Let o be y(-7). Suppose -387 = -5*q + 4*z, -3*z - 165 = -o*q + 2*z. Suppose 0*p + q = 3*p. Solve -5*r + p = -0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-3)\/5)*1. Suppose 0 = -x*b + 73 + 242. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.19, -1, 2\/11?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65013 + 64975.129. What is g rounded to one decimal place?\nAnswer: -37.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*y**2\/4 + 329727*y\/4 - 76095\/2.\nAnswer: 3*(y + 8455)*(13*y - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 6*x - 20. What is the remainder when 48 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*g + 10, 3*g + 3 = -3*x. Let u be (-8)\/((1 + x)\/(-18)). Suppose 337 = 5*m - u. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (1 - 19) - (10 - 7) - 47.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 353793 and 6816?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.00571 times -2447\nAnswer: 13.97237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f + 26. Let x be t(8). Does 24 divide 143\/6 - (5\/x)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1927, 1928, 1929?\nAnswer: 1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20064168)\/(-324) - 154\/(-99).\nAnswer: 2, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (-15 - 1\/(-1)). Find the common denominator of -4 - (-8)\/2 - (-20)\/r and -67\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, 1, -3 in decreasing order.\nAnswer: 1, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 4*h - 4. Let o = -7 - -18. Let q(d) = -d**3 - 2*d**2 + 11*d - 11. Let i(m) = o*s(m) - 4*q(m). Find the third derivative of i(l) wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391*z + 171*z + 196*z = 0. Which is bigger: -4\/1561 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256812.8 micrograms to milligrams.\nAnswer: 256.8128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 640 + 166 = 2*a, -t = -a - 188. Calculate the greatest common factor of t and 19306.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d. Suppose 4*t - 3*t - 16 = d. What is the greatest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -43. Suppose -4 = -z - p*z. Solve z*t - 2*t + 29 = 5*w, 2*t = -4*w + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5313\/(-1012))\/(28\/272)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -31 - 9. Let r(d) = -d**3 - 3*d - 1. Let t(f) = -3*f**3 + f**2 - 5*f - 1. Let v(b) = -5*r(b) + 2*t(b). Determine v(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Let n(h) = 0*h**2 + h + h**3 + 9 - h**2 - 2*h**p. What is the units digit of n(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -13*q**3 + 7*q**2 - 4*q - 21. Let k(x) = -6*x**3 + 3*x**2 - 2*x - 10. Let u(d) = 7*k(d) - 3*m(d). Let w(f) = -f**3 - f - 1. Give -u(h) + 2*w(h).\nAnswer: h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -81d7?\nAnswer: -81d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1296365.8 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - 3*h**3 + 3*h**3 + (-3*h**4 - h**4 + 3*h**4)*(-3*h - 2*h + 6*h) + 18*h**5 + 13639*h - 16*h**3 - 6820*h - 6822*h.\nAnswer: 19*h**5 - 16*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/244190 and -17\/880.\nAnswer: 21488720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**3 - 43*s**2 + 69*s + 213. Let q(x) = 5*x**3 + 56*x**2 - 91*x - 284. Give 13*m(f) + 10*q(f).\nAnswer: -2*f**3 + f**2 - 13*f - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38226 and 214398.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*w = -1, -2*c - 2*w + 6 = c. Let i(k) = -k**2 + 5*k - 4. Let j be i(c). Suppose 2*z + 4*g = -j*z - 2, -g = 5*z + 5. Does z = -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o + 74. Let f(h) = -7*h - 75. Let x(p) = -5*f(p) - 4*t(p). Calculate the lowest common multiple of x(2) and 20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 - 1110. Let q = m + 1014.481. Round q to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4442832, -4442831, -4442830?\n\"Answer: p - 4442833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (47\/(-4))\/(4\/(-16)). Let o = c - 22. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1568 and 117\/42844928.\nAnswer: 299914496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*f - 1 + 1)*(-9*f + 8*f + 9*f).\nAnswer: -16*f**2 + 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -522*k + 518*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 1db4?\nAnswer: -1dbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -16 - 2. Let r = -61 + 104. Suppose 0 = -3*p + 2*p + 5*w + r, 5*w = 4*p - 142. What is the remainder when p is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -201.\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p. Let n = -84 + 122. Let x(q) = -n*q + 61*q - 37*q. Determine x(c(k)).\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -df (base 16) in base 15?\nAnswer: -ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 996454\/72472*(264\/162)\/(-11). Let r = 2\/27177 - y. Calculate the common denominator of r and -76\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 5, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 46, 0.425, -2\/17, 2\/3 in descending order.\nAnswer: 46, 4, 2\/3, 0.425, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9675328 and 13572.\nAnswer: 87077952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*u + 284, -4*u - b + 36 + 496 = 0. Let q = -98 + u. Calculate the smallest common multiple of q and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -1\/2*y**2 - 4*y + 1\/12*y**4 - 1\/20*y**5 + 1\/3*y**3 + 0. What is g(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11621*p - 36989 = 127826 - 24922 + 22801 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*g + 277 + 1673, g = -4*f + 491. What is the remainder when g is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51087917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 + -6.1. What is y rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -27195297.\nAnswer: 2\/9065099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-36) + (-55078)\/(-9). Suppose -l = -7*p + 3*p. What is p rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456*j**3 + 832*j**3 - 389*j**3.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - 3. Let x = r + 8. Let d(i) = -6*i - 3. Let c be d(x). Calculate the highest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1051558?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/(265\/32) - -2*3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 2. Let k(i) = -4*i + 3. Let m(g) = 2*k(g) - 3*r(g). Let w(d) be the first derivative of -14 + 55\/2*d**2 + 0*d. What is w(m(t))?\nAnswer: 55*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/13*120\/(-80). Let q = 5 - 5.3. Let f = -12 + 13. What is the closest to y in -4\/5, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 738 divide 84070008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135?\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 times 24879?\nAnswer: 3333786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 229*s - 2284. Calculate the lowest common multiple of y(10) and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 8*j**2 + 9*j + 3. Suppose 2*s - 3*g = 6, 0 = -s + 9*g - 6*g + 6. Let u be (18 - s)*9\/18. Determine t(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16068 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2041376213422+2\nAnswer: 2041376213424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g + 115. Let o be f(23). Let q(h) = 5*h - 2. Let z be q(-1). Is o greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 - (-149)\/(-2). Let o(d) = -13*d + 43. Find the common denominator of (-2)\/(1\/(j\/40)) and o(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 148, 146, 142?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1447567 and 1513?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 215.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 20 = 0, m + 6 = z - 11. Sort m, -5, 3.\nAnswer: m, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -110, 0.1, 93, -0.3, -3\/8?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*s = -1709, 0*h - 3*h - 5*s + 2551 = 0. What are the prime factors of h?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2374431 or 11872152\/5?\nAnswer: 2374431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*x - 139 + 405, -z - 130 = -x. Let l = x - 91. Let g = -18 + l. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2421.06l?\nAnswer: 2421060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -55, 1, 2 in ascending order.\nAnswer: -55, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 2:57 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4498*n - 4501*n - 124*n**3 - 4494*n + 13493*n.\nAnswer: -124*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - x - 16 = 0, -2*x + 32 = 11*c - 7*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhyyyyyhyhhyyy?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h, -2*v + h + 11 = 2*v. Suppose 0 = -v*z + 3*k, 4*z + 3*k - 6*k - 4 = 0. Calculate the remainder when 1\/(2\/(-20)*-1) is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g*g\/((g*g**(4\/3))\/g*g*g*g))\/g)\/g)*g**(1\/3)*g**(1\/5)*g\/((g*g\/(g*g*(g\/((g*g**(-1\/3))\/g))\/g*g)*g*g)\/g))**(-13) assuming g is positive.\nAnswer: g**(-468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*y + 5*c - 1, y - 5*c = 6. Let h(v) = -2*v. Calculate h(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133924 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 27 - -9 - 14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3160 - -2?\nAnswer: -315a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1660*k = -1550*k + 3090*k - 9360 for k.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 3*d**2 + d - 1. Let p(z) = -z. Let f be p(6). Let c = 8 + f. Give u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/2, 0.43703, -3, 2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -56.5*271573\nAnswer: -15343874.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 - 3*y**4 - 2 + 5*y**4 - 3*y**3 - y**2 + 0*y**3 + 2*y as s + i*y + t*y**3 + j*y**2 + x*y**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 766304.7 hours in weeks?\nAnswer: 4561.3375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0103098841 rounded to six decimal places?\nAnswer: -0.01031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 2. Let l be (4 - 3)*(-1 + 4). Suppose -4*m + 14 = -l*j + m, 2*m - 14 = -3*j. Let o(t) = -t**3 - 8*t**2 + 9. Calculate j*o(b) - 9*n(b).\nAnswer: -2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -80 times 15\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8272392.\nAnswer: 2, 3, 344683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 1:09 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -22*n + 3. Let k(u) = 2*u - 2. Let a(l) = -i(l) - 4*k(l). Suppose -5*m + 11 = -4*x - 12, 5*m - 5*x = 20. List the prime factors of a(m).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -254.93 + 256. Let w = v - 2.92. Round w to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 71751608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.8235+-105247\nAnswer: -105246.1765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 602 = 4*b - 5*f - 296, 3*b = 5*f + 671. Let t = b - 156. What is the common denominator of 13\/36 and (-5)\/(-35)*t\/3?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14 and 0.43272.\nAnswer: -13.56728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 1576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 2*c**2 - 32*c - 97. Let v be y(-3). Suppose 4*h = 3*q - 214, 0 = 4*h + 24 - 8. What is the highest common divisor of v and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1539) + -4 + sqrt(1539) + -1 + 5 + 2)**2 + 0)*-4.\nAnswer: 576*sqrt(19) + 49280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + ((sqrt(96) - (sqrt(96) - (sqrt(96)*-1 + sqrt(96))) - sqrt(96))\/sqrt(6))\/sqrt(8) + 1)**2.\nAnswer: -12*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/36*12\/(-28).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 479416046 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.994 + 17. What is w rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15931633.4 - 401.16.\nAnswer: -15932034.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b0 (base 14) to base 8.\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 8 + 126*c - 13.\nAnswer: 126*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*j + 5 = -4, 4*q = -4*j + 12. Is -1\/137 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 1104 = 2*h. Let r = 3 + h. Let m be ((-3)\/(-10))\/(r\/60). Do 3\/8 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1970 and 4.\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:54 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 4*z**2 - z - 2. Let t be u(3). Let m = 6 - t. Solve 0 = -3*r + m + 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 9, -5 in increasing order.\nAnswer: -5, -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (6 - 190))\/1. Let m = 233 + j. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(((-12)\/18)\/1))\/((-14)\/112).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7*c + 4*p + 45, -5*p = 3*c + 10. Suppose c*k - 60 = -0*k. Calculate the highest common factor of k and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36211033 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 8:41 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-819)\/26)\/(-7)*8\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*k = 30, 0*y + y = 5*k - 4. Let t(i) = -8 - 4*i**2 + 9*i**3 + y*i - 3*i**3 + 4 - 5*i**3. Give t(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 8296*a - 40 - 4 - 2*a**3 - 8294*a + 7 - 2*a**4 + a**3 to the form w*a**2 + p*a + u + q*a**4 + h*a**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/8 of a millisecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z + 2*l - 115 = 0, 3*l - 119 = z. Let t = 109 + z. Is 21 a factor of (3\/(-9))\/(t\/(-612))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebb when three letters picked without replacement from {e: 1, b: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-24) + (-9)\/24)*2. Let b(i) = 48*i**2 + 2*i + 1. Give b(q).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**2\/2 + 3*t - 371. Let i(y) = 3. Determine 2*a(o) - 3*i(o).\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-16) - (-19)\/4. Let h(n) be the first derivative of -2 + 0*n + 0*n**2 + 0*n**3 - 1\/4*n**a. Solve h(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5357 is divided by 54?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/2 + (0 - -57). Suppose -16 = -4*k + 5*x + f, -3*k + 49 = -5*x. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.7 and -0.01?\nAnswer: -0.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/66456 and 131\/37440?\nAnswer: 2658240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 17, f: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*q**3 + 204*q**3 + 416*q**3)*(3 - 2 + 0).\nAnswer: 721*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 763, -5, 5, 134 in descending order.\nAnswer: 763, 134, 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**2 + 4*o**2 - 280*o + 2*o**2 + 207*o + o**2.\nAnswer: -o**2 - 73*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*1\/(-2) + 88 + -13. What is the greatest common divisor of a and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 + -74. Suppose t*j - 36 = -5*m, -5*j = -2*m + 3*m - 24. Calculate the greatest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {r: 5, b: 8, g: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4 + sqrt(30)\/sqrt(6))**2 + (-2*sqrt(405))**2)*-1.\nAnswer: -8205 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47717271 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/6 + 7\/12. Let k(w) be the second derivative of w**5\/20 - 7*w**4\/12 + w**3\/3 - 9*w**2\/2 + w. Let n be k(7). Sort a, n, -5 in decreasing order.\nAnswer: n, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 4*g + 33. Let v be n(0). What is the second derivative of -m**2 + 27*m - v*m**2 - m + 7*m**2 wrt m?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*90\/(-165)*3\/27*-1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -11\/6 (b) 4 (c) 3 (d) 76 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1987 - ((-3 - -11) + -4). Calculate the common denominator of 16\/3 and (-1)\/5 + b\/90 - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-64)\/30)\/8)\/((-6)\/15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -570.\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 567390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*d, -8*d + 3*d = -3*p - 46. Let y(m) be the first derivative of m**2\/2 + 4*m + 8. Calculate y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20592909*s*t - 6370132*s - 7*t wrt t.\nAnswer: -20592909*s - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((sqrt(20)\/(sqrt(16)\/sqrt(4)))**2 - sqrt(5)) - sqrt(60)\/(sqrt(24)\/sqrt(2)*6)) + -2)*-1.\nAnswer: -3 + 7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(18\/(-35)))\/((-11909)\/142908).\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-860)\/(-25))\/(2\/10). Suppose 13 + q = 5*w. Suppose -x = -3*v - 15, -3*x + 6*v + w = v. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11.3 (b) 7 (c) -899\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 200? (a) 0.5 (b) -4\/5 (c) -0.4 (d) 604\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3519\/(-612))\/(20539\/(-47)).\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1. Let x(o) = -o + 11. Let y(a) = -5*l(a) - x(a). Suppose 13*f = 18*f. Suppose -2*d + 7*d = f. Give y(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 221303121?\nAnswer: -221303123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*l + 21, -2*l + 24 - 6 = 3*h. Let x be (l - -9590) + 6 + 1. What is x rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Let w be -1 + -1 - 67\/(-32). Let t = 23\/96 + w. Which is the closest to 2? (a) -1\/10 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(7))*-3.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**4 - 44*x**2 - 12*x**3 - 4*x + 2*x**4 + 41*x**2 + 0*x to the form o*x**4 + w*x**3 + n*x + v + k*x**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4856*f + 291362. Determine j(-60).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**3 + 7*b**2 - 7*b + 7. Let o(n) = n**3 - n**2 + n - 1. Suppose 21*h - 248 = 46. Calculate h*o(g) + 2*t(g).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 486*q + 11703. Calculate t(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - b**2 - b + 1. Let i be r(-2). Let z = i + -2. What are the prime factors of z\/(-2 + 3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a = 25*a + 14. Let v = -213 + 601. Suppose 6*s = a*s + v. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29819 and 173?\nAnswer: -5158687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppkppprgkrppiippp. Give prob of sequence irik.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -0.09, 3\/8, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11509 + 11509.018258. Let z = -0.0178 + u. What is z rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452.0321 millimeters to nanometers.\nAnswer: 452032100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/30*3)\/(((-6)\/240)\/((-7)\/(-42))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 189 + 81 = 0. Suppose -14*f - v = -9*f. What are the prime factors of 52 + -3 - (3 + f\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -130cd - 4?\nAnswer: -130d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -14. Let i(l) = l**3 - 7*l**2 - l + 8. Let f be i(7). Solve -q*p - f = -7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 4*s + 3. What is m(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {g: 1, b: 14}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*(-2 + 1466)\/(-6).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584*c + 34060 = -6236 for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/13)\/(x*x**(-14))*x**5\/x**(1\/7))**(-24) assuming x is positive.\nAnswer: x**(-39336\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/92256 and 157\/264.\nAnswer: 1014816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 794165?\nAnswer: 3\/794165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + y**2 - 40 - 46 + 86.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 3:09 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 55 + 24 - 4968*d**2 - 9109*d**2 as x*d + o + q*d**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - n + 467 = 462, -5*s - 3*n + 15 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132330820.\nAnswer: 2, 5, 19, 348239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 162275034 to the nearest 10000.\nAnswer: 162280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -67*o**4 + o**3\/3 - o + 6. Let q be n(-1). Suppose q = 5*l + 88. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -15, -g - 102*a = -106*a - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.2 - 2. Let p = 4.8 - 10.8. Let j be ((-24)\/60)\/((-5)\/25*-8). What is the fourth biggest value in -6\/11, d, p, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286 + 279 - 565 + 4*g + 2*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 274 = -4*q, 2*b + 211 = -5*q + 2*q. Let i = 101 + b. Solve -2*z + 4 = -2*v, -2 = i*z + 6*v - v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 233242223?\nAnswer: -233242223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-100779*u**2 - 22488 + 7494 + 7498 - 105641*u**2 + 7496)*(2*u**2 + 3 - 3) to q*u**3 + i*u**4 + m*u**2 + t*u + g and give i.\nAnswer: -412840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 43. Let w = 312 + -327. Which is greater: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l + 10 = 0. Let x(g) be the second derivative of -2*g + 0 + 1\/6*g**4 + 0*g**l + 1\/3*g**3. Find the second derivative of x(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**2 - 325*j - 133. What are the prime factors of l(-29)?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4))\/(2 + 10\/(-8)). Let z(b) = b**3 - 3*b + 3. Let y be z(k). Solve y*m - 13 = 2*n, 2*m = -2*n - 3*m + 17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**6\/96 + h**5\/80 - h**4\/48 - 5*h**2. Factor p(w).\nAnswer: w*(w + 1)*(5*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1415.0000561 + 1415. What is l rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16962.22ml to litres.\nAnswer: 16.96222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8144.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**1*j\/(j\/(j\/(j\/(j**(1\/7)*j)))*j*j)*j**(-3)\/j**(-1\/5) assuming j is positive.\nAnswer: j**(-93\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 - d - 1. Let z(x) = -444*x**2 + 16*x - 700. Let t(m) = 16*c(m) + z(m). What is the first derivative of t(p) wrt p?\nAnswer: -760*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12984 - 7*x**2 + 13*x**2 - 4*x**2 - 12984.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/481 + -2908\/5291. Let k be (-168)\/98*(-8 + 1). Suppose -4*x + 0*c = 5*c + 4, 5*x + 2*c - k = 0. Sort x, 2, h.\nAnswer: h, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35.2 from -0.019750658.\nAnswer: -35.219750658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 8) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -512 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 p when three letters picked without replacement from {p: 7, o: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2788 + -2753. Solve -z = -32*c - 99 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8694221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 - 343*q**2\/2 - 8411*q\/2 - 53573\/2.\nAnswer: -(q + 13)**2*(q + 317)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**2 + 11*v - 51. What are the prime factors of n(7)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d = -2*n - 13, -5*n - 10 = 0. Does 7 divide (-42)\/4*12\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -149303?\nAnswer: -14930c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -5. Let u = 49 - 33. Let g = u - d. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27782, 55747, 83712?\nAnswer: 111677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -93612 plus -0.062?\nAnswer: -93612.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 3497.6 (c) 0.4 (d) 3\/5 (e) 5 (f) 10 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, z: 4}. What is prob of sequence aa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21795 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1036*j + 23475 + 13881 - 4204 = 0 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.6 + -4. Let v = -0.53 + o. Let a = 0.0700048 - v. Round a to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 58 = -4*z - 17*h, 0 = -3*z + 5*h + 36. Suppose -3 - 4 = -x. Suppose x*v + 9 = 4*v. Sort z, -2, v in increasing order.\nAnswer: v, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**5\/4 + 18925*r**4\/2 - 530515*r**3\/4 + 691830*r**2 - 1592460*r + 1365120 = 0.\nAnswer: -7584, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 340*u - 32. Let q(n) = 53*n - 5. Let k(t) = -5*m(t) + 32*q(t). Suppose 0 + 4 = 2*j. Let p(x) = -x**2 + 2*x**2 + 3*x**j - 5*x**2. What is k(p(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o**3 - 14*o**2 - 11*o + 11. Let t(b) = 3*b**3 - 9*b**2 - 7*b + 7. Let y(f) = -5*h(f) + 8*t(f). Let q be y(-2). Solve -s = q*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o - 10. Let s be k(4). Let x(p) = p. Let a be x(s). Suppose -3*d - 3*i = -0 + a, 2*d = i - 4. Let t(z) = -z**3 - z**2 + 3*z + 2. Determine t(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from hhddhdhhhh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -37, -75, -137, -229, -357, -527, -745?\n\"Answer: -f**3 - 3*f**2 - 4*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m*m**(1\/2)*m**(-3) assuming m is positive.\nAnswer: sqrt(m)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 31565.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 18 = 10*g - 8*g, -3*h + 24 = -5*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvdkkq. What is prob of picking 2 k, 1 d, and 1 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 191711561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -5*k**4\/12 + 35*k**3\/3 - 14*k**2. Let j be g(-6). Let t be (-5 + 9)\/(1\/13). Calculate the greatest common factor of t and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from ffyhycwci?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6777\/54 + 2\/4 and 12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5567, 5569, 5571, 5573, 5575?\n\"Answer: 2*m + 5565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56579 and 2.456?\nAnswer: -138958.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16447437264281\/5052 + 3255628927. Let r be (-3)\/2*(-5)\/2526. Let i = r + p. What is the common denominator of i and 49\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-55)\/(1375\/(-150))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 1, 5632, -0.3638?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-5 + -6 - -4 - -6)) + -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-4)\/w))\/(w\/(w**4*w)))\/(((w**(3\/8)*w)\/w)\/w)**(9\/5) assuming w is positive.\nAnswer: w**(89\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 183*u + 2 + 124*u + 234*u in the form r + i*u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - g = -0*x - 47, x + 2*g - 10 = 0. Calculate the remainder when 22 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11002010200 (base 3) to base 5\nAnswer: -10032124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5932 and -0.034.\nAnswer: 5931.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + (91 - (118 + -118))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 9:39 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4\/4 + 8*k**3\/3 + k**2 + 12*k - 4. Let c = -17 + 9. What is l(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z + 3*z - 4*z - 176 - 17*z + 176 + (4 + 0 - 2)*(0 + 0 + z) to y*z + t and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1 + 4*p + 0*p - 2*p. What is y(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.895446 milligrams to grams.\nAnswer: 0.002895446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148 + -77. Suppose -1 = 5*a - u. Let l = -31 - -47. Solve 3*c = -4*m + l, 2*m = -4*c + c + a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - n - 1 = 11, -5*b = n + 22. Let k(y) = -y**2 + 3*y + 7. Determine k(b).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1313)\/(-390) + 154\/(-44).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4220*n + 227876. What is t(54)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4194?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -38*u - 1018. Let x be d(-27). Solve 2*r - x + 14 = -2*b, 4*r = 2*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1807 + -1044. What is the hundreds digit of c - (-5 + 8\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*f + 45*f + 38*f.\nAnswer: 169*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/13))**(-1\/67) assuming s is positive.\nAnswer: s**(-2\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25184 + 515929809.\nAnswer: 515904625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -796*p + 0 - 2 + 1.\nAnswer: -796*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19 + (-226)\/(-12))*12. Let x(v) = 1. Let b(y) = -y - 29. Give o*x(w) - b(w).\nAnswer: w + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*c**3 - 5 - 18 - c**3 + 22*c**3 with respect to c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -702 + 1892. Round n to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/((10\/10)\/(-1))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22909254373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22843860617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 454 - 452. Solve -h*b + 8 = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36137 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**3 - 2*d - 3. Let h be x(-2). Let t = h - 41. Let p be (7 - t) + (-1 - -3). Solve 0 = 3*q - 3*w + 2 - 5, 0 = 5*q - w - p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 4 + (sqrt(192) - -6*sqrt(192)))*1 - -6*-2*(-1 + -3*sqrt(192)))**2.\nAnswer: 10320*sqrt(3) + 355233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j. Let s(x) = 15*x**2 + 5*x**2 - 16*x**2. Calculate w(s(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 9) to base 6.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5 - 11. Find the common denominator of -73\/54 and 274\/234 + (l - 20\/9).\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556200\/23 at most 24184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 291 = -303. Calculate the greatest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 234*u - 114*u - 120*u - 83*u**3 + 100 wrt u?\nAnswer: -249*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 13. Let t be v(6). Let h(l) = -12*l**3 + 3 + 1 - l**3 - 3. Let d be h(t). Solve -p = -2*c + 4 - d, -4*c = -5*p + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1146\/3809 + -2\/293. Let t = 4 + -4. Which is smaller: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 30*x + 1. What is r(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 4*p + 0 = 20, -5*b + 5 = -5*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*7*2\/6. Let j be (-2)\/(-12)*12\/30*10. Solve -7\/3*f + j - 5\/3*f**4 + g*f**3 + f**2 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*(-2)\/88*(-23 - (2 - 1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/56 and (1016\/352 - 3)*142\/(-10)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 23. What is the nearest to 0 in 0.5, t, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 9*i**2 - 20*i - 14. Determine r(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, m: 5, g: 2}. Give prob of picking 1 g and 1 j.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 237 - -3. Is k a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/5 - 86984*g**2 + 12611809*g\/5 + 2609346 = 0. Calculate g.\nAnswer: -1, 30, 434891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**8\/336 + v**7\/105 - v**5\/30 + v**4\/24 + 3*v**2\/2 + 1. Let s(l) be the second derivative of t(l). Factor s(f).\nAnswer: -f*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98\/(-49))\/(((-20)\/1740)\/((-2)\/12)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20\/7 in 0.5, 0.6, 871, 23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 1214250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, e: 10, c: 5, z: 3}. What is prob of picking 1 c, 1 e, and 2 i?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (0 + 17 - 14 - -8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74462 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-9)*(-240)\/(-4760)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, 1, -667 in decreasing order.\nAnswer: 1, -67, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 4 + b**3 - 2*b**3 - 3*b**2 + 3*b**3 - 3*b**3. Let o be s(-4). What is the greatest common divisor of 16 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3266 + 483 = -23*a. Calculate the remainder when 324 is divided by a.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9272940 and 25530?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*a**2*k**2*y + 98*a**2*k*o*y + 2*a**2*o*y - a*k*o + 15*a*o + 10*a - 4*k**2*o*y + 3*k**2*y wrt a.\nAnswer: -28*k**2*y + 196*k*o*y + 4*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 10*l - 5*l. Let r be 0 - l\/8*0. Suppose -15 = -3*h - r*i - 3*i, -5*i - 45 = -5*h. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30465*s + 30412*s = 60826*s + 1122 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 - 10*x - 10. Let r(m) = 3*m**2 - 8*m - 8. Let n(z) = 4*p(z) - 5*r(z). Let c(y) = 318*y. Determine n(c(a)).\nAnswer: -303372*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 + -77. Find the second derivative of 3 + 14*c - 12*c - 16 - l*c**3 wrt c.\nAnswer: -150*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7495 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381226?\nAnswer: 2, 190613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 2*p**2 + 0*p**2 + (10 - 106 + 35)*(0 + 1 - 3)*(-2*p**2 - p**2 + 2*p**2) - 3*p - p**2 + 3*p + (-29*p + 70 - 70)*(-2 - p + 2).\nAnswer: -95*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.256?\nAnswer: 0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) 5 (b) -0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1241, -1901, -1979, -1475, -389, 1279, 3529?\n\"Answer: 291*q**2 - 1533*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 9*z + 6. Calculate v(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (15 - (-17 - 25)) - (1 - -92)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*g + 31*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9 - 24*w**2 - 27*w + 21*w**2 - 2. Is y(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4571 and 0.7.\nAnswer: 3199.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-27 - -7 - -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 178978*l\/5 + 35796.\nAnswer: -2*(l - 89490)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -38313*f. Let m(d) = -d**2. What is x(m(a))?\nAnswer: 38313*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/((-8960)\/580)*14.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2355*p + 4 - 4 - 788*p)*(0*p + p + 0*p).\nAnswer: -3143*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12117554 and -29?\nAnswer: 12117525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -7 (c) 0 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 - 135 = 4*i. Calculate the remainder when 169 is divided by i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 281384?\nAnswer: 1406920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46137448 and 2016?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96254 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -63. Calculate the highest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**4\/12 + 22*f**2. Let g be c(3). Calculate the highest common divisor of 12 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -13 - (0 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*i**4 + 264*i**3 + 270*i**2 + 96*i + 3 = 0. Calculate i.\nAnswer: -1, -1\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10009822?\nAnswer: 2, 41, 59, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - f**2 + 2*f**2 + (0*f**2 + 2*f**2 - 3*f**2)*(3 + 3 - 4) - 5*f**2 + 72 - 72 as m*f + d + c*f**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 75*l**2 + 2*l + 3. Suppose -2*f + 1 = c + 3, -2*f - 2 = -2*c. What are the prime factors of d(f)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -339993*u + 7. Let i be (-2)\/1*(-4)\/(-6 - 2). Let m be r(i). Round m to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -10 + 4 + (-324 - -324).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/17))**33\/(d*d**(1\/9)*d*d*d*d*d**(5\/2)) assuming d is positive.\nAnswer: d**(-3517\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -904\/2285 - 2\/457. What is the closest to 0.2 in 10, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2555 - -2913. Is g a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -21*c + 28. Let m(u) = 1. Let n(l) = -35*m(l) + r(l). Is n(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9345, 9343, 9341, 9339, 9337?\nAnswer: 9335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9140*j + 420395. What is x(-46)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + c + 1386 + 11*c.\nAnswer: 8*c + 1386","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12462 and 1302.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216 + 215. Let p = -0.04 + -3.96. What is the second smallest value in -0.2, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13996 is divided by 2299.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -132.109 less than or equal to 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {s: 1, b: 7, h: 11}?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0. List the prime factors of (-39)\/h - 60\/12.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/3 of a year?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1399 and 3.\nAnswer: -4197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -211220?\nAnswer: 212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1252826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125633 and 681516.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -410418, -410410, -410404, -410400, -410398, -410398, -410400?\nAnswer: -410404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 + 3*i - 3. Let m be r(1). What is the units digit of (4\/m)\/((-1)\/(-55))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -217, -1440, -3493, -6376?\n\"Answer: -415*n**2 + 22*n + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 19.2391\nAnswer: -96.1955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/28 + 4\/(-14). Let q = 120.95 - 48. Let n = 73 - q. Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 19*b**2 + 108*b + 204. Give k(-19).\nAnswer: -1848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1 = 9. Let v(k) = 12*k**2 - k - 3. Let o be v(n). Suppose -w - 3*m + o = 0, 0 = -5*w - 2*m + 3*m + 1540. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -527 + -39104258\nAnswer: -39104785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(15\/(-10)))\/((-2)\/(-4)). Solve m = 5*l - 2*a, -l - 2*l + 4 = -2*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20144330 (base 7) in base 14?\nAnswer: -318617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4039 - -4042. What is the remainder when 276 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - a + 221, -4*u - u - 4*a + 209 = 0. Calculate the greatest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5*z + 745695, 0 = -9*x + 8*x - 3*z - 149145. What is the remainder when 519 is divided by 2\/(-11) + (x\/(-143))\/16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 342 = -5*u, 2*u = 7*u - 5*c - 310. Let f = u - 57. Suppose 68 = -f*l + 10*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*n + 28*n + 2*n + 1411 = 0. Solve -n*z + 23*z - 6 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 48003048.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 1\/2*r**3 - 1\/30*r**5 + 1\/2*r**2 + 1\/8*r**4 + 4*r + 0. Let v(h) be the first derivative of t(h). What is v(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 13*r + 67. Let v be p(16). Solve 18*a = v*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69510, -70496, -71482?\nAnswer: -72468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92535 + 1156*y - 4*y**3 + 376*y**2 + 93711 + 400*y.\nAnswer: -4*(y - 98)*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 5. What is the lowest common multiple of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -528614+-49514.4\nAnswer: -578128.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 9*x**2 - 30)*(2723*x**2 + 2740*x**2 - 8 - 5487*x**2).\nAnswer: -216*x**4 - 72*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**4 + 0*n**4 - 3*n**4)*(-17 - 27 + 9)*(3*n - 7*n + 3*n).\nAnswer: 70*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4976675 microseconds in days?\nAnswer: 0.00000000012150078125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 100010010000?\nAnswer: 100010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k. Let b(q) = 36*q**2 + 349557. Calculate a(b(v)).\nAnswer: 72*v**2 + 699114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147279.\nAnswer: 3, 11, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 49 = 2*t. Let p = t - 2. Let n(f) = -f**3 - 7*f**2 + 9*f + 8. Let u be n(-8). Solve u = 5*g - p, 3*a = -2*g + g + 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5177151.824 to the nearest 10000.\nAnswer: 5180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/4754409 and -37\/4754409?\nAnswer: 4754409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03401494, 2, 0.1?\nAnswer: 0.03401494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10132 + 0?\nAnswer: 10132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2702.03 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 25*s**2 - 2*s - 2. Let z be a(-1). Solve 13*n = 18*n - z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 + 5541*x**2 - 2869713*x + 277995375 = 0. What is x?\nAnswer: 125, 861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155742 divided by 2.\nAnswer: 77871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.552 - 3.59.\nAnswer: -3.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 6*a + 2. Let j(z) = 5*z**2 - 31*z + 11. What is 11*d(c) - 2*j(c)?\nAnswer: c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {d: 2, g: 2, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62646469?\nAnswer: 373, 167953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-285)\/(-72))\/(-5) - (-16)\/24. Which is the closest to 2\/7? (a) 9 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1111.832ug?\nAnswer: 0.000000001111832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/67 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/(j*j\/j**0)))**(-1\/24)*(j\/(j\/j**(1\/4)))**12)\/((((j*j*j**(-15)\/j*j)\/j)\/j)\/(j\/(j*j*(j**2*j*j)\/j)))**28 assuming j is positive.\nAnswer: j**(2487\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 5*a + 8*a - 32*a**3 - 80 - 3*a.\nAnswer: -32*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 5.6. Let a = -1.4 - y. Is a less than or equal to 0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 252*n + 1. Is w(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26434 or 16?\nAnswer: 26434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -15046.74903 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 - 0.36. Let x = -3\/5 - -4\/15. Suppose 0 = -9*c + 16 - 7. What is the nearest to c in v, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + h**4 + 0*h**3)*(-16 - 5 + 9)*(4 - 3 + 1).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121121102122 + 112012?\nAnswer: 1121121221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0 = 15. Let d = n + 255. Is -2 + 1*d + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -313\/5 + 63. Let a = 0.036 + 27.964. Let h = 31 - a. What is the smallest value in -3, h, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12*w = 11*w - 355, 3*t - 3*w = 201. Let r = 370 + t. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 8*k + 4. Let a be m(0). Let x(c) = -11*c**2 - 4*c - 2. Let q(y) = 5*y**2 + 2*y + 1. Let t(s) = -13*q(s) - 6*x(s). Give t(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4\/8 + 27*a**2\/4 + 12*a + 45\/8 = 0.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*g**3*k**2 - 11604*g**2*k**3 - 1891*g*k**3 - 123*g*k wrt g?\nAnswer: -72*g*k**2 - 23208*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaj when three letters picked without replacement from wyhaljlj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (274*z**4 + 185*z**4 + 60*z**4)*(z - 2*z + 0*z) + z - z - 2*z**5 - z**5 + 2*z**5 + z**5 + z**5 - z**5 + 2*z**5 + (-z**5 - 4*z**5 + 6*z**5)*(2 - 1 + 0).\nAnswer: -516*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uurmvv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 215877*p**2 - 15*p**3 - p**4 - 2*p**4 - 9*p - 215898*p**2.\nAnswer: -3*p*(p + 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3167, 10043, 16919, 23795, 30671?\nAnswer: 37547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00657179 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1577.9 - 1578. Let i = -442 - -277. Which is the second smallest value? (a) -1\/7 (b) i (c) p (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (95 - 134) + 2 + -25 - -22?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**2*p**3 + 18*f**2*p - f*p**4 - 3*f*p**3 - 2*p wrt p.\nAnswer: 18*f**2*p - 12*f*p**2 - 18*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (84\/(-30))\/(-7) + (-2136)\/(-10). What are the prime factors of j + (-1 - -2) + 4?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + t = -3*t - 36, -2*z = 3*t - 13. Calculate the lowest common multiple of z and 68.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 372, 1284, 3070, 6024?\nAnswer: 10440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -0.9, 0.4, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4108344605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3212310011 (base 4) to base 10\nAnswer: -945413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 5. Let h = s + 0. Suppose -24 = 5*d + 3*v, -4*d = -3*v - v. What is the closest to 2\/3 in h, d, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + h + 0*h + 4*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27020*f + 26985*f = -270 + 25 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8734 (b) 0.1 (c) 7\/6 (d) -0.2966\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1264029\/640 + -1975. Calculate the common denominator of 7\/720 and u.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -92*k**3 - 2*k**2 - 2*k + 5. Let z = 6 - 2. Let o(h) = 91*h**3 + 3*h**2 + 3*h - 6. Let l(s) = z*o(s) + 5*j(s). Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 849 (b) -0.5 (c) -0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from txtptttwtpxwttxt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evv when three letters picked without replacement from evvw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (640\/50)\/(-16)*2\/(-4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f**3 - 968 + 2*f**2 - 219 + 1187.\nAnswer: -29*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558380669?\nAnswer: 7, 11, 191, 37967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(468)*-2*-5 - (2 + 0 + sqrt(468) - sqrt(468))) + 5)**2.\nAnswer: 120*sqrt(13) + 46801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 78a08d?\nAnswer: 78a086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3141 = 2*h - 229, -3*n - 15 = 0. Let s = -921 - h. What is the remainder when s is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*((19 - (-1846)\/(-52)) + 65\/5)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 2*p**2 + 5. Let s be f(-5). Let l be 5\/(s\/12)*-12. Let i be (-33)\/l - (-1)\/3. Solve 0*o - u + 3 = -5*o, i*o - 3*u + 9 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55814, 55813, 55812?\nAnswer: 55811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 5*i - 27. Let f be g(-4). Which is smaller: f or -1\/143?\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/168? (a) 0.2 (b) 2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -11.93. Let n = z + -1.07. Suppose 0*o = -2*o + 10. What is the second biggest value in -1\/2, n, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29279, -30632, -31985, -33338, -34691?\nAnswer: -36044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 96036, 192075, 288114, 384153?\n\"Answer: 96039*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70*h**3*m*z - 11*h**3 + 5*h**2 - 16*h*m*z + h*m wrt z?\nAnswer: 70*h**3*m - 16*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1896 divided by 18\nAnswer: 316\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16798771 and 5729?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 1. Let x(w) = 0*w**2 + 10 + 13*w - 6*w - w**2. Let m be x(8). Calculate r(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -34. What is the second derivative of 10*w**3 - 6*w**3 - 10*w**a + 3*w wrt w?\nAnswer: -36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*n + 5*n + 102. Suppose -4*x = 3*m + 27, m - 1 + n = 0. Sort 4, 6, -1, x in increasing order.\nAnswer: x, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {q: 9, z: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0.94, -13\/281, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)*(b\/(b**(2\/7)\/b))\/b*b**(-2\/3)*b*b*b**(-9))\/((b**5*b**(-8))\/(b**(2\/3)*b\/(b**(-6)\/b))) assuming b is positive.\nAnswer: b**(179\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 157 - 1321 + y - y in the form k*y + r and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1524.453 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160081 is divided by 3117.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 - 2*w - 11. Let r(y) = -8*y - 1. What is r(x(m))?\nAnswer: -32*m**2 + 16*m + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by (-5 - -7 - 14)*-3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1150 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -203, -8, 48?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 5*s + 3. Let w be z(5). Let u be -5 - (7 + -25) - 11. Solve u*g - 4*l = -3 + 27, 5*l = -w*g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1271\/4 or -319?\nAnswer: -1271\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 5) to base 16\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-230) + (-8)\/92. Solve 4*h + 4*h - 16 = d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -17. Solve 3*p + n + 4*n = 6, 0 = 2*p - x*n - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2034, -8467, -19190, -34203, -53506, -77099?\nAnswer: -104982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 304, 2556, 8772, 20968, 41160?\n\"Answer: 336*z**3 - 34*z**2 + 2*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.07, -1.4, 0.3, -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*u + 4 = -131*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 4*t + t)*(-6347 - 64*t + 6347).\nAnswer: -128*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 + 2*v + 2*v**2 + 1841 + 2*v**4 - 22*v**2 - 1843 in the form q*v**2 + t + f*v + c*v**3 + m*v**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one fifths of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/8*(-16)\/(-6). Suppose -3*s = 5*v + 4, i*v - 4 = s + 3. Is -2*(-40 - -3)*v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297806039?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpf when three letters picked without replacement from pff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 26 + 49 = -3*s, 5*x = s + 26. Suppose x = j, 0 = -4*k + 2*j - 7*j + 29. Solve -3*c - 2*c - k = 3*d, 5 = -2*d + c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1169, 0, -0.07 in ascending order.\nAnswer: -0.07, 0, 1169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 - 207. Let d be 2\/(-6) - x\/3. Suppose 5*z + 1 - 66 = 0. Calculate the greatest common divisor of d and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 - -313\/5. Suppose -2*b - 23 + 5 = 0. Let x = 9 + b. Which is greater: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5075\/58098 - 1\/2526. Solve 6\/23*m**2 + 0 - v*m**3 - 4\/23*m = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away -1034296492?\nAnswer: 1034296506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5029 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**4\/4 + 5*a**3\/3 + a**2\/2 - 4*a - 9. Determine k(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 - 8 + 14*f**4 - 7*f**4 + 2*f - 4*f**4 + 10 to the form y*f**3 + n*f + g*f**4 + i + d*f**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (53 + -1)\/1 - 14\/(-14). Solve 8*q - 61 = -o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 4*w**2 + 2*w + 1. Calculate the remainder when u(4) is divided by (-2)\/8 - 147\/(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4827 is divided by 2339.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2108 is divided by 100.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*(sqrt(17) + -1)**2 - (sqrt(153) + -2)).\nAnswer: -31 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -193 - -199. Suppose -4*a - 3*s = -o - 0, 0 = -5*a - 4*s + 8. Solve 2*u + 2*h + 14 = a, -2*u - 3*u = 3*h + 25 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -24*o + 2*o + 4*o. Let z(g) = -9*g - 10. Let i(t) = 2*t + 2. Let a(u) = 5*i(u) + z(u). Determine a(b(q)).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**3\/3 + 7*d**2\/2 - 37*d. What is m(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 5:07 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 178 - 75. Let o = 105 - m. Find the third derivative of 15*h**o - 4*h**4 - 6*h**4 - 3*h**4 wrt h.\nAnswer: -312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374 = 55*k + 577*k - 258 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((2 - -5) + -2 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 57 - 15. Suppose -2*t - 5 = -q*t, 5*c - t = 659. What is the remainder when c is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/965 and 3\/4520.\nAnswer: 872360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*z + 106 - 8*z - 106 to b*z + i and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-198045)\/(-90) - 9\/6?\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -0.2 (c) -0.02 (d) 102\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1725, 3, -6, -1, -3 in increasing order.\nAnswer: -1725, -6, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166 + 126. Suppose j = 2*q - 174. List the prime factors of q.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + -0.6. Let d = 11 - g. Let v = d - 11.7. Is v less than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 2:03 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - 0.57. Which is the closest to -1\/2? (a) 0.1 (b) l (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -10 + 523. Let t = 1194\/7 + n. Which is the nearest to 0.1? (a) t (b) -1\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 303989572*l**2 + 758758267?\nAnswer: 607979144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*a**4 - 1362*a**3 - 110*a**2 + 20 wrt a.\nAnswer: -288*a - 8172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25521516, 25521515, 25521514, 25521513, 25521512, 25521511?\n\"Answer: -j + 25521517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 4*sqrt(68)*-1) + sqrt(68) + 2*sqrt(68)*4)\/(sqrt(48)\/sqrt(108)*-6).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10786494?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 3 (b) -9 (c) -4 (d) -20\/419 (e) 4\/5 (f) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -46*10356.44\nAnswer: -476396.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 25 + (2 - 10) + -2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1)*(16 - (-19400)\/(-1261))\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + m + 2502 = 3*m, 5*g - 4*m = 6246. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 12:27 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*q = -1464*q + 677*q + 2220 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 766 + 107761 - 6047 = -181*j - 6651*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -326. Does 65 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218, 460, 702, 944, 1186?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13364, -13365, -13366, -13367?\nAnswer: -13368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186816122 to the power of 1\/2, to the nearest integer?\nAnswer: 13668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14*(-6)\/(-33 + -9). Solve h*v - 5*k = -14, -4*v + 5 = -k - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/9*-5*(-12)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-465996)\/18)\/(51\/(-9) + 5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3273*p**2 + 2*p - 19. Let n(o) = -14*o**2. Calculate v(n(h)).\nAnswer: 641508*h**4 - 28*h**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/4 (b) -0.06 (c) -821.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/8595356 and -145\/1452?\nAnswer: 25786068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*h - 1488*h**3 - 534*h**3 - 50*h - 40*h.\nAnswer: -2022*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 2:41 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -783, -2907, -6375, -11187, -17343, -24843?\nAnswer: -33687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.4 + 12.4. Which is the closest to -1? (a) 4 (b) x (c) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*l = -187*l - 27 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((3 + -2 - 2)*9)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l - 1142. Let r(m) = 5*m + 575. What is -3*d(h) - 5*r(h)?\nAnswer: 2*h + 551","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 541.01639 rounded to the nearest ten?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 5.527 (c) 4 (d) -4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**10\/6048 - d**6\/144 - 5*d**4\/6 - 5*d. Let x(f) be the third derivative of l(f). Find the second derivative of x(p) wrt p.\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, u: 2, c: 4, e: 2, s: 1, f: 4}. Give prob of picking 1 u, 1 s, 1 h, and 1 f.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -412 - -410. What are the prime factors of (15\/((-135)\/(-42)))\/(x\/(-357))?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38 and -0.0123.\nAnswer: -38.0123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 319*q**2 - 69?\nAnswer: 638*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vplvllvlllvlvp. Give prob of sequence ppvv.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -1 - -1*7. Suppose y - c = 6. Suppose -z + y = 4*l, 0 = -0*l + 3*l - 5*z + 4. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 61. Suppose s + q = -6*s. Let a(t) = -3*t**3 + t**2 - t + 3. Let x(d) = d**3 - d**2. Determine s*a(f) - x(f).\nAnswer: 2*f**3 + f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -85 (base 14) to base 5\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 340230 (base 5) to base 13\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 180 = -2*l, 0*l - 2*h = -l + 84. Suppose -n - 2*w = -20, -w + 1 - 2 = 0. What is the highest common divisor of l and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aapzapa. What is prob of picking 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -1628*y + 1634*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 217, 434, 723, 1084, 1517?\nAnswer: 2022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40727072 and 639.\nAnswer: 40727711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 7:00 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67345.309956 + -67345. Let m = p + -0.31. Round m to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 3*n**2 - 3*n. Let d be m(-3). Suppose -2*t = -t - d. Suppose 0 = t*l - 3*l - 42. Calculate the remainder when 27 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50401.77 to the nearest one hundred.\nAnswer: -50400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*c + 4*a = 150*c - 577, 5*c + 2*a + 424 - 453 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -255508696 divided by -63877174\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96 + 96. Which is smaller: n or -29\/5?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 11 + 37. Suppose -5*b - 12 + 59 = -v, -b + 5*v - 5 = 0. What is the least common multiple of b and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - y = -65, 4*b + 4*y + 32 = 100. Let w = 10 + -7. Let q(s) = 1 + 3*s - w*s + s. Let i(o) = -2*o - 2. What is b*q(a) + 5*i(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/21)*i*i\/i**(-11\/5)*i)\/(i**(-2)*i**(1\/4)) assuming i is positive.\nAnswer: i**(2959\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 57. Let g(p) = 1. Determine 6*g(u) + t(u).\nAnswer: u - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -7)\/(1 + 2 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -39*w - 40*w + 93*w + 160 - 19*w. Let s be v(-2). Are 169 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46, -43, -40, -37, -34, -31?\n\"Answer: 3*o - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 3*j**2 + 5*j - 6. Let u be (99\/66)\/((-1)\/(-2)). Calculate h(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*i**5 - 385*i**4 + 10526295*i**2.\nAnswer: -2700*i**2 - 9240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20 * 6256728\nAnswer: 125134560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 7\/142 (c) 0.04 (d) -5\/3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131 + -65. Suppose q - c = -2*q. Let d = q - 12. Solve 3*r = r + d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**4 + 1320*z**3 + 32830*z**2 + 199320*z + 337725 = 0.\nAnswer: -237, -19, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 = -3*p, 4*p - 5*x + 2 - 3 = 0. Let a be p\/(-6) + 56\/21. Solve 2\/7*f**a + 2\/7*f**3 - 2\/7*f - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102041939*i**3 + 17*i**2 - 102041937*i**3 - 17*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 5*k + 6, 195*g - 200*g - 5*k + 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19635 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41322540 divided by 6.\nAnswer: 6887090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 2100232021?\nAnswer: 2100232023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1241, 2627, 4013, 5399?\n\"Answer: 1386*m - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0*l**2 + 0*l**3 - l - l**6 + 17\/2*l**4 + 0*l**5 - 36. Find the third derivative of k(h) wrt h.\nAnswer: -720*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114682.\nAnswer: 2, 17, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozzxoozozzxxozo. What is prob of picking 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - 4.1. Let w = -3.8 + 3.3. What is the closest to 2\/9 in -2, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-2))\/(3\/((-462)\/11)))\/(90\/990).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/((((s\/s**(2\/15)*s)\/s*s)\/s)\/s))\/(s\/s**(-1))**(-49) assuming s is positive.\nAnswer: s**(1412\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2230 - -11152\/5. What is the fourth smallest value in 0.034, -2, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 5, -1\/6, -4, 0.19?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -11*g**2 + 27*g + 29. Let d(y) = -5*y**2 + 13*y + 14. Let s(c) = 13*d(c) - 6*w(c). Give s(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121716930 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 41. Solve 4*b + 13 = -3*u, -4*u - u = 2*b + z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 440 divided by 88\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m + 4. Let p(q) = -131*q**2 - 5 - 8 + 123*q**2 + 13. Calculate p(z(v)).\nAnswer: -200*v**2 - 320*v - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5240 to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five halves of a century?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148937.\nAnswer: 17, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 b when four letters picked without replacement from wiwwbwit?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 + -0.69. Let f = h + 0.8. Let q be (-2)\/(-12) + (-94)\/141. Which is the nearest to q? (a) f (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 45*x**3 - x**2 - 36*x + 73. What is the remainder when c(2) is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*p - 1. What is the smallest common multiple of p and -1*(3 + -2)*(-3 + -8)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*u + 42*u + 57287 + 67*u.\nAnswer: -2*u + 57287","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11*w**3 - 3*w**2 + 3*w - 1. Let m be 3\/(-9) + 46\/(-6). Let q = -6 - m. Is 27 a factor of x(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (6 + -4 + -6)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -320423130 (base 5) to base 16\nAnswer: -147b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 23*g**2 - 22*g - 12. What is a(24)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 - 78. Solve -g = 8*t + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/20 and -49\/16252.\nAnswer: 81260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 637 = 902. Suppose 37*g - v + 7 = 0. Factor 1\/6*j**g + 0*j + 0 - 1\/6*j**3.\nAnswer: -j**2*(j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b96 (base 15) in base 14?\nAnswer: d4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -37*b**6\/30 - 17*b**5\/20 - b**4\/4 + 7*b**3 - b**2 + 399*b - 4. What is the third derivative of h(j) wrt j?\nAnswer: -888*j - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/sqrt(250) - sqrt(1300)) + ((sqrt(130) - sqrt(130)*-1)\/sqrt(10) - sqrt(130)\/sqrt(160)).\nAnswer: -161*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 271853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 266?\nAnswer: -266.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(-13)\/(((u\/(u\/u**2))\/u)\/u*u*u**0))\/(u**(1\/3)*u*((u\/u**(-6))\/u)\/u*u*u)**(-43) assuming u is positive.\nAnswer: u**(1072\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acdct. What is prob of sequence dc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*q**3\/3 + 341*q**2\/3 - 337*q\/3 - 7.\nAnswer: (q - 1)*(q + 21)*(17*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 7*b, -3*u - 15 = 4*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/46193 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2367030 is divided by 338138?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a gram in milligrams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -233*b. Let y(f) = 0*f**2 + 2*f**2 - 3*f**2 - f**2. Determine y(m(k)).\nAnswer: -108578*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 + -40. Find the common denominator of 25\/6 and 3\/3 - l\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h - 26. Let j be d(-13). Suppose 4*w - 75 = -j. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 751104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 0)*(9\/(-3) - -2). Suppose -z = q + 3. Put -0.3, -1, 1, z in increasing order.\nAnswer: z, -1, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -3. Let y be 0 + 0 - t*1. Suppose -4*c = 5*i - 23, -2*i + y = -i + 2*c. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**4 - 32*c**3 - 12*c**2 + 104*c - 64 = 0.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 87 = -3*r - 66, -q + 7 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -1\/1728393221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 9*j**2 - 9*j + 7. What is the remainder when n(-8) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/((-36)\/(-200)) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197 + -43. Calculate the greatest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213021033232 (base 4) to base 6\nAnswer: -1003534514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/66 and 100\/1534071?\nAnswer: 3068142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -5*f**8\/336 + 17*f**6\/8 - 49*f**5\/6 + 10*f**4 - 188*f**2. Solve i(k) = 0.\nAnswer: -8, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 167*n**2 + 21695*n\/3 - 7399.\nAnswer: (n - 1)*(n + 49)*(n + 453)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -647 + 670. Calculate the remainder when 181 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p - 3*p**2 - 5 + 2*p**2 + 28 + 10*p. Let d be u(7). Factor -1\/9*b**d + 4\/9*b - 1\/3.\nAnswer: -(b - 3)*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.4*176364584\nAnswer: -70545833.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*6 + 0 + sqrt(45))**2 - sqrt(15)\/(sqrt(147) + (sqrt(147) - (1*sqrt(147) + sqrt(147) + sqrt(147)) - sqrt(147) - sqrt(147))).\nAnswer: sqrt(5)\/21 + 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*h - 4. Let w be (9\/(-18))\/((-2)\/(-2)). Which is the nearest to w? (a) -0.2 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 17\/(-1 - -2). Solve -2*m + a = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003554 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1578 - 1553. What is the second biggest value in -1\/5, a, 0.09, 0?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -988 by -1080.\nAnswer: 247\/270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 4*h - 3*h)*(-2*h + 19*h - 4*h)*(2 - 3 + 0)*(-40 + 28 + 44) to the form w + a*h**2 + y*h and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 882?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/19 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64098?\nAnswer: 2, 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -925 + 1573. Let m = c + -303. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 + 2*b**2 - 4*b**2 + b**2 + 14 - 14 + b**2 + 3*b**2 - 3*b**2 + (2*b - b + b)*(4*b + 0*b - 2*b) - 6*b**2 + 5*b**2 - 9*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220762 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23838421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1293*a**6*f**2 - a**6*f + 15*a**2*f**2 - 2*a**2*f + 30*f**2 - 2*f wrt a.\nAnswer: 155160*a**3*f**2 - 120*a**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2410436, -4820877, -7231324, -9641777, -12052236, -14462701?\n\"Answer: -3*p**2 - 2410432*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/980 + (-55)\/70?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*328\nAnswer: 65.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -108 times -0.08\nAnswer: 8.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17415 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + (-29 - -33) - -4 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 28 = 10. Suppose 0 = -5*h + i*s + 344, 0 = 5*h + 4*s - 222 - 101. Calculate the remainder when h is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 1. Let y be f(-2). Suppose -4*j + 9 = -y*x, -3*j = -2*j + 2*x - 16. Let c(h) = h**2 - 4*h + 2. Is c(j) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3395886?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(12) + sqrt(12))*1)**2 + sqrt(12) + 0.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q - q**2 + 0*q**2 + 3*q**2)*(-4*q**2 + 4*q**2 + 2*q**2 + (-2 - 9*q + 2)*(2*q - 2*q + q)) in the form p*q + f*q**4 + t*q**3 + u + a*q**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 5*x - 4*x - 5)*(-5 - 2 - 3)*(-3 - 3*x + 3).\nAnswer: 120*x**2 - 150*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -7) + -447 + 420?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2\/2 - 3868*g + 1390662 = 0.\nAnswer: 378, 7358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 9:18 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6651, 13301, 19951, 26601?\nAnswer: 33251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q - 26*q - 88 = 0. Calculate the remainder when 190 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - g - 1 - 2*g + g + 0*g - 2*g - g + g + (0 + 1 + 1)*(-g - 2*g + g) - 3*g + 0*g + g)*(5 - 4 + 1) in the form u + i*g and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.2, -0.0439, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**3 + h**2 - h + 2. Let a be s(2). Suppose 0 = 3*b + 2*u - a - 186, 3*b + 5*u = 229. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**3\/3 - 3*m**2\/2 - 8*m + 4. Let v be b(-6). Suppose v = f + f. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 158 + 82. Does 62 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*l - 341 = 450*l - 947. Solve 243*t = 244*t + 5*u + l, -3*t + 5 = u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -2\/29, -11 in ascending order.\nAnswer: -11, -2\/29, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -1430?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47267087 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004557 to 5 dps.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**4\/24 + 5*b**2\/2 + 2*b. Let d(l) be the first derivative of p(l). Let k(o) = -3*o**2. Determine d(k(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c8993 + 0?\nAnswer: -c8993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 11:52 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9}. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -30*j**3 + 10*j + 10. Let w be s(-4). Suppose 1270 = 2*k + 2*i, -5*k - i = -w - 1285. Is 3 + -1 + -6 + k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 + -4 + 6 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*(150\/(-108))\/25\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280688?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 5133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 203769 or 203768?\nAnswer: 203768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6249, -12579, -18909, -25239?\nAnswer: -31569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 645*i - 37421. What is l(58)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**6\/360 + s**5\/60 + s**4\/36 - 2*s**2. Suppose p(i) = 0. Calculate i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2.7. Let p be (2\/2)\/((-18)\/3). Let g = 2 + -2.1. Which is the closest to g? (a) r (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 511 and 1022?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2625 - 2623. Solve -15*v = -17*v - f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420177053 a multiple of 1500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(4 - (-28)\/(-6)). Let h be ((v - -9) + -3)\/(9\/6). Suppose 5*f**3 + 33*f - 6*f + 15*f**h - 17*f = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294738131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 68 + 2*h**2 - 36 - 34 in the form w*h + o*h**2 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*h + 66 = 252. Solve o - v + 2 = -3, 0 = -o - h*v + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**4\/24 + 2*d**3\/3 + 2*d**2. Let a be (-2)\/3 + (-8)\/(-12). Suppose a*p = p. What is z(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2160)\/(-32))\/45*4\/(-51)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-650)\/52*20\/(-10)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 5 (c) 7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 3\/5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**6\/120 - 11*s**5\/30 + 7*s**4\/4 - 20*s**3\/3 - 75*s**2. Let k be t(20). Solve k = -2*z + d - 4, -z + 2*d = -2*d + 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 232*z**3 - 372*z**3 + 3*z**2 + 2 + 3 - 2*z**2 wrt z?\nAnswer: -840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 6*b + 9*b)*(-3*b + 3*b - 2*b**2)*(4 - 1 - 2) in the form y*b**3 + v*b + f*b**2 + k and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 11 + 1)*(3 + 10 - 9)*((-2 + 2 - j**2)*(-2*j**2 + 1 - 1) + 3*j**2 + 2*j**4 - 3*j**2 + 2*j**4 - 2*j**4 - 2*j**4).\nAnswer: -176*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 301, 511, 783, 1135, 1585?\nAnswer: 2151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*d + 5, n = 4*d + 1 + 3. Suppose -4*l + l = n. Let z(m) = l*m + 3*m - m. Let f(x) = x**2. Determine z(f(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -3*g**4\/16 - g**3\/2 + 9*g**2\/8 - 39. Solve z(p) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*h - 4*r + 11797, 2*r = 10. Suppose 6923 = i + 5*f, -2*f - 3022 = -i + h. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-4 - (-1 - 3 - (7 - 0)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163 + 449. Let m = -286.000001872 + n. Round m to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**3 - 4*r**2 + 6*r + 6. Suppose -4*k = -4*t - 40, 54*k - 5*t - 46 = 50*k. Let i(g) = 5*g**3 - 5*g**2 + 7*g + 7. Give k*i(f) - 5*x(f).\nAnswer: -5*f**3 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 11. Let i = -0.193 - 0.007. Which is the biggest value? (a) 2\/11 (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 minus -79.89?\nAnswer: 36.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from paepprapneeaaea?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d = -2*o + 24, 2*d - 2102*o - 428 = -2188*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.7 times 0.1?\nAnswer: 2.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0 (c) 0.0587 (d) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/5159 and -127\/54648.\nAnswer: 25629912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -69*l**7\/7 - 681*l**4\/8 - 1481*l**2. What is the second derivative of x(z) wrt z?\nAnswer: -24840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2688)\/2304 + (-145)\/30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 2*t - 20, -5*t = 4*z - 7*t + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**3 + c**2 - 20*c - 29. Let l be x(-12). Suppose -l = -3*o + 5066. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1266 by 6.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 7*k**2 + 4*k + 6. Let h(p) = p**3 - 9*p**2 - 8. Let w be h(9). Is 19 a factor of l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27455 and 79135?\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/1385472 and 29\/9236480.\nAnswer: 27709440","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 40\/3, -0.136, 1?\nAnswer: -0.136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = -4*f - f, 25 = -5*f - t. Suppose -8 = -0*u - 4*u. Sort 4, f, u in decreasing order.\nAnswer: 4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0671426m to micrometers.\nAnswer: 67142.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277180?\nAnswer: 2, 5, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**2 - 4*f - 79. Let w(i) = -i**2 + i. Let j(h) = t(h) - 6*w(h). Is j(-19) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -49121?\nAnswer: -98242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/((-36)\/1134*-27)*-33*1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 911513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -5. Let t = -43 - -36.9. Let w = -6 - t. Which is the nearest to 0? (a) w (b) -4\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -303 - 0?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 10\/2)\/((-6 - 2)\/657896) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v + 2. Let h(y) = 16*y + 19. Let d(i) = -2*h(i) + 18*k(i). Let g(a) = 5*a - 2. Give -4*d(b) + 3*g(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101362 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = 17, -4*x - 4*h + 44 = 0. Let o be ((-6)\/(-30))\/(2\/x). Factor -18\/5*w**3 + o*w**4 + 12\/5*w**2 - 2\/5*w + 0.\nAnswer: 2*w*(w - 1)**2*(4*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1089986952 to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 4 + 0)*(-2*p**2 + 2 - 2) - 2*p**2 + 5*p**2 - 10*p**2.\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23781 + 102937.\nAnswer: 126718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 b when four letters picked without replacement from abbaaa.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**2\/2 - 19965*y - 129546963\/2 = 0.\nAnswer: -7707, -5603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 0 - ((0 - (-47 - -81)) + -75)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230 - 452 + 225 - 89*u + 50*u.\nAnswer: -39*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 2*g + g)*((1 + 1 + 0)*(-4 + 1 + 0) - 3 + 4 + 0 + 0 - 3 + 1 + 8 + 3 + 32) in the form p + l*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43669456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6451201*y - 8340079?\nAnswer: 6451201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -152540232?\nAnswer: 152540220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 536\/20 - 2\/(-10). Let r(m) = 17*m + 2. Let j be r(11). What is the highest common divisor of j and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 952, 935, 918, 895, 860, 807, 730?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 4. Let a = 18.7 + -19. What is the biggest value in 1, a, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n - 47. Determine h(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8619, -8613, -8591, -8553, -8499?\nAnswer: -8429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 8) to base 6\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49468861 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = -11. Suppose -4*q = -71 + 43. Calculate the remainder when (q + 2)\/(6\/28) is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**4\/12 - h**3 - 2*h**2 + h. Suppose -26*f - 59 + 189 = 0. Give a(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 + 2 - 7*y**2 + y**2 - 2 + 52*y + 1 - 50*y as h*y**3 + t + d*y + o*y**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 764.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 49. Suppose f = -15*n + 9*n + 1626. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most 2139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 7*f**4\/12 - 3*f**2 - 8. Let u(c) be the second derivative of r(c). Let l(v) = -2*v**2. Determine l(u(y)).\nAnswer: -392*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 - 5*o**2 - o**2)*(4 - 4 + 2 + (1 - 3 + 3)*(2 - 1 - 2)) - 3*o + 3*o - o**2 + (-6*o**2 + 209 - 209)*(2 - 1 - 3) + 2*o**2 + 3*o**2 - 6*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 3*o + 4. Let d be s(3). Let b(y) = 20*y + 14. Let k(i) = -4*i - 3. Let u(p) = d*k(p) - 3*b(p). Let r(a) = -2*a**2. Calculate u(r(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s**2 - 3*s**2 + 2*s**2)*(2 + 0 + 0) + 1 - 127*s**2 + 1 + 128*s**2 - 5*s in the form x*s**2 + f*s + j and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 23066612780.1.\nAnswer: 23066612775.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fly when three letters picked without replacement from lwvlwwyfvljyjjl.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3}. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 616*l**2 + 10*l + 1197*l**2.\nAnswer: 1813*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (27 + -20)) + -2 + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4187*b**2. Let l(u) be the second derivative of -u**3\/6 - 3*u + 587. Calculate y(l(v)).\nAnswer: 4187*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18944461.3 and -18676.\nAnswer: -18963137.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7\/2*(-36)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -7. Let l(b) = -b**3 + 2*b**2 + b. Let s be l(v). Differentiate 3*q + s*q - 3*q + 3 + 2*q wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 10:15 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (4422\/(-203) + 94\/1363 + (-12)\/(-1)).\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 6*i + 7. Let a be g(7). Let x be (-144)\/(a - 3) - -2. Calculate the greatest common factor of x and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 18*v = 1980. Let p = v + 358. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412420223 (base 5) to base 2\nAnswer: -110011011100010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154*(-49)\/2744*(-884)\/187?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2037+1.407\nAnswer: 2038.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*s**2 - 48*s**2 + 13*s**3 + 20*s**3 + 10*s**2 wrt s?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 9 = -76 - 45. Is i < 320\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 5*p + 5. Suppose -5*o + 91 = 46. Let t be (15\/o)\/((-4)\/(-12)). Let g = 6 - 12. Let r(q) = -q**2 - 6*q + 6. Determine g*f(u) + t*r(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*m**3 - 2*m**4)*(-7*m - 10 + 10).\nAnswer: 14*m**5 - 28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/6 (b) 14 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6490140 by 23515.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.6 (c) 1\/7 (d) -3 (e) 32.2 (f) 4 (g) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/8 - (-3)\/(-12). What is the highest common factor of 88 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*v + 66*v - 52 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (466 - 501) + (18 - 2) - 31.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 - 38*y + 108. Let p be l(13). What is the greatest common divisor of 216 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -93*t + 92*t - t**2 - 1 - t**2. What is m(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 minus 82316993957?\nAnswer: -82316993957.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2. Let c(w) = 3*w - 38. Let g(o) = -2*o + 18. Let z(m) = 3*c(m) + 5*g(m). Determine k(z(y)).\nAnswer: -2*y**2 - 96*y - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -457 or -375?\nAnswer: -375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + -52?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 23 - 123 = 0. Suppose -y = -2*y + h. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28157047 and 758.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957 a factor of 403391232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, 416.2, -1, 147.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7864359 to 2 dps.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 6 = -y, 1113 = 3*d + 4*y + 1110 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + (-1848)\/(-232) + (-1)\/(-29).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 6*t**3 - 12*t**2 + 16*t.\nAnswer: 2*t*(t - 4)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408 greater than or equal to 7033\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 - 73371436*h\/7 - 672920952587762\/7.\nAnswer: -2*(h + 18342859)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 1 - 14*m**2 + 1.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -63.403, -47 in decreasing order.\nAnswer: -11, -47, -63.403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.1 (b) -31 (c) 0.3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135707 = v + 4*h, 5*h = 2*v - 147867 - 123495. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-5))\/(-3))\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - (6 + -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27e6f8 (base 16) to base 15.\nAnswer: -369c57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309047 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 7*r**2 - 6*r + 4. Suppose -h - 18 = -3*h. Suppose 0 = 2*g - 3 - h. Let k be v(g). Solve -q - 2*p + 7 = -8, k*p = -3*q + 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 5*m - 32 = 0. Calculate the remainder when m is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**5\/240 - w**4\/96 + w**3\/12 + 2*w**2. Factor i(b).\nAnswer: -(b - 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n - 59. What is c(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -2\/29, 2.1, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -275 + 745. Suppose n = 3*p - c, 2*n + 599 - 130 = 3*p. What are the prime factors of p?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194 + -178. Suppose 5198 = f*n - 770. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*r - 412, 75 + 106 = -2*r + 5*y. Let d = -47 - r. 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: Subtract 5 from -132.448792114.\nAnswer: -137.448792114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - 0. Let g = 0.103 + 1.897. Which is the third smallest value? (a) g (b) p (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 329942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -121\/3*c**3 - 1\/30*c**5 + 0 - 4*c**2 - 11\/6*c**4 + 0*c. Factor i(o).\nAnswer: -2*(o + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 1 (b) 0.5 (c) 37 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478302097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85410643*y**2 - 72178167*y?\nAnswer: -170821286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + 3*(-2*(sqrt(75) + -2 - sqrt(75))*-3)**2.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 36 times 263\nAnswer: 9468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 5*f + 12*f)*(-14 - 4 + 4)*(-5*f**4 - 3*f**4 + 5*f**4).\nAnswer: 840*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.00149*21\nAnswer: -0.03129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -2a?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 380 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.895863 to two decimal places.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1235.81 - 1236. Let z = -3 + 2.6. Let o = -10 + 6. Which is the smallest value? (a) z (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/4 - 3\/8. Find the common denominator of -7\/20 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/48 - (4506\/16)\/(-3).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**5*t*(t*t**(-15))\/t*t**8\/t*t*t*t**(1\/29))**(2\/165) assuming t is positive.\nAnswer: t**(-104\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 11 = -4. Suppose -s*v - 68 = -v. Let t = 47 + v. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + d = -4*j - 99, -2*j = d + 39. Let u be (3\/6)\/((-2)\/j). Suppose u*x - 62 = -4*w, 3*w = 4*w + 2. Calculate the greatest common divisor of x and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c - 2. Let d be r(7). Suppose b + 23 = 2*j, 5 = -3*b - 3*j - 37. Let g = b + d. Calculate the remainder when 26 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.6 - -8.1. Let o = 19 + -55\/3. What is the smallest value in -1\/6, x, o?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 + 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 3:08 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000018028948311 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {x: 2, q: 2, b: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/9977039?\nAnswer: -2\/9977039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 35*j**2 - 112*j + 78. Let b be z(-38). Let d = -1 - -3. Determine a, given that -14*a + 5*a**b + 11*a - 2*a**2 - d*a**2 - 4 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/51 + 138\/(-1122) + 668\/44\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12224 is divided by 3841.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 15*w - 11. Let f = 3 + -16. Let r be h(f). Calculate the highest common divisor of r and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -12, 2, 0.4, -3, 0.16, 4 in descending order.\nAnswer: 6, 4, 2, 0.4, 0.16, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.22 - 0.24. Suppose -b = -5*b + 540. Let l be 5\/(b\/6) - 38\/(-72). What is the third smallest value in -3\/4, m, l, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38\/115 + 3\/23. Let o be 17 - 13 - 3*9\/3. Which is the closest to 1? (a) o (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/51 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 522 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + 0.039482. What is w rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8159*g + 4090*g + 4085*g - 112 = 0. Sort -85, g, 15 in descending order.\nAnswer: 15, g, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1913)\/(-5) + (-1029)\/(-735)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(175) + -2 + 5)**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11170 less than or equal to 11170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*f + 651 - 621 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 148509847 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 31 = u, 0*u = -k + 2*u + 1. Let z = -38 - -136. Suppose 33*x - 31*x - z = 0. What is the remainder when x is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113702*b**2*n**2 + 752*n**2 - 14*n - 2 wrt b.\nAnswer: -227404*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/13, -0.4, 3.693432?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59751 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 33c?\nAnswer: 33c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 10*a**2 - a + 13. Let i be w(10). Suppose i = -q, 4*c = 6*q - 3*q + 145. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13056 = -10*i + 31486. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(6 - 3) - 3. Let v = j - 9. Let w = 0.7 - 0.3. What is the third biggest value in w, v, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 96\/56*-7 + 11\/(-13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + s + 27. Let c be l(0). Suppose -4*b + c = -3*h, 4*b - 2*h - 28 = -2. Find the first derivative of -344*j + b*j**3 + 3 + 344*j wrt j.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 9*r**2 - 4*r - 4. Let g be w(6). Suppose -g = -d - 4*d. What is the least common multiple of 3 - -13 - 4\/2 and d?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/((-54880)\/(-100)))\/((-15)\/12)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddtv when four letters picked without replacement from dcvtddcddddc?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2 = 5*y + 23, 0 = -4*g - 20. What are the prime factors of (y\/(-8))\/(6\/576*2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppnp when four letters picked without replacement from {p: 3, n: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 3676548*j + 25735689.\nAnswer: 3*(j + 7)*(j + 1225509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7743003030 to the nearest 1000000.\nAnswer: -7743000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 40 = -4*p, 3*m + 0 = -p - 2. Solve -4*j - p = 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13634531 is divided by 1622?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 0.2 (c) 1.3 (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/7, 6, 2, 0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/((135\/(-165))\/((-105)\/(-20))).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -283, -643, -1149, -1873, -2887, -4263, -6073, -8389?\n\"Answer: -12*o**3 - o**2 - 273*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a millennium in months?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10785746?\nAnswer: 2, 547, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 191104.2 + -0.0718013.\nAnswer: 191104.1281987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppcpcicipiiiccbi. What is prob of picking 3 p?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 3*h + 2. Let u be a(3). Suppose -w - v - 33 = 2*w, 4*w - 3*v + 57 = 0. Let t be (-7)\/(14\/w) - 0. Solve -2 = u*q - t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w. Let g be q(-10). Calculate the remainder when 16 is divided by 8 - 5\/(g\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 56 = -17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1777111 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: -144cd (base 16) to base 2\nAnswer: -10100010011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**5 + 85*m**4 + 70*m**3 - 160*m**2 = 0?\nAnswer: -16, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*z + 6. Suppose z*d - 7 = -3. Solve 2*s = -w - 2 - 3, -d = w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158577122.\nAnswer: 2, 11, 17, 424003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 5. Let y(x) = -x - 1. Let j(i) = o(i) + 4*y(i). Let s be j(4). Let d = -5 - s. Calculate the remainder when 65 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3 - q**2 - 3*q - 1. Let d(f) = 10*f**3 - 7*f**2 + 18*f - 14. Let z(c) = -d(c) - 3*v(c). Calculate z(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427520 to the power of 1\/2, to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -4591*d + 4590*d + 16, 3*d - g = -8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/426, 1\/2, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*i + 53*i + 37*i + 38420 = -312*i for i.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qldsqwcs. What is prob of sequence ld?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/15 - 164468*i**4\/15 + 1127564934*i**3\/5 - 60810406336*i**2\/15 - 510367659104*i\/15 + 189265178368\/5 = 0. Calculate i.\nAnswer: -7, 1, 24, 41108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1281 and 3980799.\nAnswer: 27865593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/15, 12 in descending order.\nAnswer: 12, 1\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*sqrt(8) - (sqrt(10)\/(sqrt(5) + sqrt(40)\/sqrt(8)))**2).\nAnswer: -18*sqrt(2) - 3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30177147 and 11011.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/((-1449)\/(-700)))\/(85*(-13)\/(-7956)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.81767 to 2 dps.\nAnswer: 22.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7571.\nAnswer: 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 858586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -1 - (-6 + -23 + -9 + -11 + 37)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 0)*1\/(-1). Suppose 5*f + w = 4*z - 3, -2*z = -4. Let j(m) = -9*m**3 - m**2 + m. Give j(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.1593279 days?\nAnswer: 13765930560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - q + 2*q)*(-6 + 3 + 4) + (-1 + 5 - 3)*(-q - 2*q + 4*q) + 5*q - 9*q - 26*q to the form n + u*q and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 143 = -g + 5*h, 20 = 4*h. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209959 to the power of 1\/2, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-396)\/81)\/((-21296)\/3168).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a22073 - -5?\nAnswer: 1a22078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g**(-6\/5))\/g*(g*g\/((g*(g*(g**(-3\/11)\/g)\/g)\/g)\/g*g*g*g))\/g)**(-4\/21) assuming g is positive.\nAnswer: g**(-236\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-22 + 17)*(-2)\/(-2). Let j(h) = -h**2 - 13*h - 10. Let s(u) = 4*u + 3. Let p(i) = 2*j(i) + 7*s(i). Let a(y) = -y. Calculate l*p(m) - 2*a(m).\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -732 (b) -31 (c) 431\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4772 + 4789. What is the greatest common factor of g and 7633?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and (-35)\/2*8\/(-12)*3.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480862903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l - 127. Let d be u(12). Which is greater: d or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 9*r**2 + 15*r - 2. Let o be t(7). Solve -3*p - 16 = 3*w - o*p, -4*w + 7 = 3*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56.96 * 3\nAnswer: -170.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 != -1\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 100\/(-10))\/(4\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13148*w + 36. Suppose -9*f + 11*f = -14. Let d be p(f). Round d to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 89\/1513*3417\/6. Find d, given that -1\/4*d**5 - 6*d**4 - b*d**3 - 169\/4*d + 78*d**2 + 0 = 0.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 1.3. Let r = f - -0.1. Let a = r - -1.33. What is a rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.94 * -0.66\nAnswer: 3.2604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/2 (b) -1\/6 (c) 14 (d) -0.2 (e) -2 (f) -3039\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 9:47 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 + 3*d + 3. What is the remainder when p(-2) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-10))\/((-12)\/(-20)). Let a be (x\/6 - 0)*4. Solve 0 = a*u + u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h - 37*h + 5*h**3 + 18*h.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 467*q + 21*q + 1076*q. Let m(y) = -2*y. What is x(m(f))?\nAnswer: -3128*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75312 by 201.\nAnswer: 25104\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1873, -3864, -5971, -8200, -10557, -13048?\n\"Answer: -c**3 - 52*c**2 - 1828*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110\/7 + 976\/63. Is q >= -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 3)*(65*y - 413*y - 167*y)*(-13*y + 68 - 68) as k + w*y**2 + c*y and give w.\nAnswer: -20085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2. Let c(f) be the first derivative of 7*f**3\/3 - 21. Determine c(v(x)).\nAnswer: 28*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274009170?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -47*d**2 - 64*d**3 - 33*d + d**3 - 33 + 47*d**2. Let z(j) = -4*j**3 - 2*j - 2. Calculate 2*u(i) - 33*z(i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 31*z - 267. Let h(b) = -33*b + 268. What is -6*h(o) - 7*u(o)?\nAnswer: -19*o + 261","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -58*z + 16. Let n(j) = 11*j - 3. Let u(q) = -3*h(q) - 16*n(q). Let d(t) = -76*t**2. What is u(d(y))?\nAnswer: 152*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 9*f**2 + 5*f - 113. Does 12 divide z(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -9455712.\nAnswer: 28367136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2 + -5)*-2.\nAnswer: 10 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0 + -42)*2)\/((-2)\/2). Suppose 0 = 5*w - 6*w + a. Suppose -7*u = -11*u + w. What is the highest common factor of 42 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*v**4 + v**4 - 3*v**4 + (-3 + 3 - 1)*(3*v**2 - 3*v**2 - v**4) in the form p*v**2 + k*v + y + n*v**3 + b*v**4 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 8*b**2 - 39*b + 65. Let p be d(11). Suppose 28*q - 2 = 27*q. Put p, q, -138 in descending order.\nAnswer: q, p, -138","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52708, 54055, 55402?\n\"Answer: 1347*j + 51361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 0*j**2 - 678*j + 362*j + 316*j + 0*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-45))\/13*-9\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 12 - 4*x**4 - 3*x + 10*x**4 in the form k*x**4 + u*x + h*x**3 + t*x**2 + v and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2896 - -561. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10466 = -435*v + 461 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.391 - 0.409. Let n = k - -22.8. Let h = -3 - 2. Which is the closest to n? (a) h (b) -3\/7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011211231 (base 4) to base 7\nAnswer: -12051550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 m when three letters picked without replacement from {k: 5, m: 15}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let m = 145\/1032 + -2\/129. Let g = 612.3 + -612. Which is the third smallest value? (a) g (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 5*t + 4 - 5*t.\nAnswer: -4*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 3*m**2 + 5*m**2)*(3*m + 4*m - 6*m) - 2*m**3 + 0*m**2 + 0*m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 164*z - 2677. Let p be d(19). Solve -96*w - p = -83*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 623464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:47 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23244511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 113 = 15*w + 35 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 8*i**2 + 7. Let a(g) = 3*g**2. What is s(a(v))?\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16752 - 14788. What are the prime factors of x?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 9:52 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*n + 8, -3*n - 5 = 3*k - 17. Suppose 0 = -5*g - 2*h + 295, 3*g + 0*h = h + 166. Suppose -3*x + 0*x + g = k. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjv when three letters picked without replacement from jrqdqjddrdvdddjrj.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -27293 > -27403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = 31*n - 74 + 231. Put 4, 2, n, 3 in descending order.\nAnswer: 4, 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 23*s = 21*s - 2508 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1121 times 0.45546\nAnswer: 510.57066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14004354 divided by -6\nAnswer: 2334059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1449, 3, 0, 20 in ascending order.\nAnswer: -1449, 0, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2798, 5568, 8330, 11084, 13830?\n\"Answer: -4*i**2 + 2782*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -3, -5, 1, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 113, 37, -71, -211, -383, -587?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + v + 48 = 14, 4*h + 3*v = 48. Let m = 174 - 117. What is the remainder when m is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1177 + 0.11768311. Round z to seven decimal places.\nAnswer: -0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5 + 2730*w**4 - 581454*w**3 - 18136644*w**2 - 79457511*w - 91063854 = 0. Calculate w.\nAnswer: -23, -3, -2, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 smaller than -231\/7291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456 + j + 239 + 242.\nAnswer: j + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/((-32)\/(-45)))\/(-1). Let r(n) be the first derivative of 7*n**3 + 27*n + 1 + t*n**2 + 3\/4*n**4. What is u in r(u) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -12*v**2 + 8*v + 10. Suppose 2*h - 7*h = -50. Let d be 1\/(-4) + h\/8. Let l(c) = c**2 - c - 1. Let t(o) = d*s(o) + 10*l(o). Factor t(g).\nAnswer: -2*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*n, 2*w + 3*n - 52 - 949 = 0. What are the prime factors of w?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgzbgjem. Give prob of sequence eb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 239 + 255. Suppose -34*v + 8 = s. Factor v*j**2 + 0*j - 50\/13*j**5 + 0 - 8\/13*j**3 - 40\/13*j**4.\nAnswer: -2*j**3*(5*j + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 - 2*i**4 - 3*i**4 + (11*i - 11*i + 7*i**2)*(0 + 0 + 2*i**2) + (0*i + 4*i - 2*i)*(2*i**3 - 3*i**3 - i**3).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*s + 48. Let d = s + -27. Let k = d + -15. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33\/19 in -3\/2, 2\/7, -4, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -15, 3, -1\/23, 11, 2?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-169))\/(((-102)\/2040)\/(2\/(-8))).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, g: 7, n: 3, p: 2}. What is prob of picking 2 g?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -14 + (-1 - 4) - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = -6*d. Let l = -24594 + 24597. Sort l, d, -19, 1.\nAnswer: -19, d, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 17.4282, -0.5, -2, 4\/5 in ascending order.\nAnswer: -2, -2\/3, -0.5, 4\/5, 17.4282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3363310.9 to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5992941 is divided by 622.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (8 - (4 - 0))) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l**3 + 9*l**3 + 41*l - 6 - 3*l**3 - 3 + 3 to the form p*l + u*l**3 + f*l**2 + c and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 6, m - c = 4*c - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*w + 13840 = -410*w + 2873 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 5*r**2\/2 + 16*r - 856. What is m(-9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -19*o**2 + 3*o + 1. Let x(z) = z**2 + 17*z + 62. Let k be x(-12). Let w be t(k). Let u = -119 + 50. Is w less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-6)\/10)\/3)\/((-5)\/(-40)*-4). Let j = -929\/38220 - -47\/260. Let t = -2\/147 + j. Which is the third smallest value? (a) 0.8 (b) t (c) 0.2 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, -10542, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35074 and 8398?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 5603428. Let u(v) = 2*v**2. Determine h(u(l)).\nAnswer: -2*l**2 + 5603428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/8 + w\/8 = 0 for w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 59 + 135 = 3*n, 5*y - 2*n - 278 = 0. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - l**2 - l - 1. Let w(a) = 2*a - 3. Let x be w(3). Let f be (2\/4)\/(x\/(-6)). What is the units digit of u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/43368569 or 1?\nAnswer: 1\/43368569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1454, 5486, 12278, 21830?\n\"Answer: 1380*r**2 - 108*r + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10461001 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 5*n + 60. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 19 + 10*k in the form s*k + l and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyyggvygvgv. What is prob of picking 3 v?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57395 and 20?\nAnswer: 229580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -250103 (base 6) in base 7?\nAnswer: -121230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:06 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -4 - (3 + -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 138020*u + 1446845?\nAnswer: 138020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -50. Suppose j = 3*j + 2*u - 344, -n*j + 5*u + 540 = 0. What is the highest common factor of j and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -3285.77.\nAnswer: -3285.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m. Let n be h(-5). Find the third derivative of -14*o**2 - 12*o**2 + n*o**3 - 48*o**3 wrt o.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 14. Suppose 5*u + 207 - 7 = m. Let i = 68 + u. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005655 to six dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 6*k**2 - 6*k - 5. Let b be j(-5). Suppose b = w + 2*w + n - 118, 0 = 5*n + 10. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 1 l when three letters picked without replacement from {m: 5, z: 1, w: 4, r: 2, l: 2, x: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -49719102 times -0.5?\nAnswer: 24859551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1561*t - 1626552 = -1643*t. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 4, 5, 15 in ascending order.\nAnswer: 4, 5, 15, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 1:17 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 14, 24, 54, 110, 198?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 12. Let u be o(10). Let a(r) = -2 + u*r**2 - 4*r + 2*r**3 - 5*r**2 + 0 - 5*r**3. Does 18 divide a(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10912315207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (301977\/(-193575))\/((-2)\/(-150)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 + -123. Let b be (225\/(-6))\/(0 - (-4)\/(-56)). Calculate the highest common divisor of v and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -728 (base 10) to base 9\nAnswer: -888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -33, 4, 2.\nAnswer: -33, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 4*c + 1. Let n(y) = -5*y - 8. Let w be n(-4). Suppose 2*i = 6*i + w. Let p(r) = -2*r**2 + 5*r - 2. Determine i*p(m) - 4*u(m).\nAnswer: -2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 u when four letters picked without replacement from uuuurvvrur?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = i + 4*t, t - 1 = -4. Let d(h) = 9*h - 15. Let b be d(i). Suppose 0 = -2*g - 0*g. Solve -b*p - 9 + g = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/15 + (-36)\/(-10). Let h = 1.4 + -0.4. Which is the closest to h? (a) 1\/6 (b) v (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22079.4 and -0.033.\nAnswer: -728.6202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-367)\/(-2) + 13\/26. Let q = b - 201. Put -5, 5, q in ascending order.\nAnswer: q, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*v = 524 + 181, -5*v = 5*s - 1135. What is the smallest common multiple of s and 63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/w**(-4\/9)))\/w*w**(-4)*w*w*w\/w**(15\/8)*w**(7\/9)*w assuming w is positive.\nAnswer: w**(-37\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4678226 and 5.7.\nAnswer: -26665888.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 3:52 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/7? (a) 2\/15 (b) -4\/3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4110, 4112, 4114?\n\"Answer: 2*z + 4108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4690 is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36498 at least 36499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4064\/7 greater than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -1121100233111?\nAnswer: -1121100233101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 124485.4 to the nearest one hundred.\nAnswer: 124500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0*m - 222. Suppose m*g = 75*g. Solve -2*j - 2*j + 20 = g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -895621053 take away -67?\nAnswer: -895620986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t + 13 = 7*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -166602 and 0.3.\nAnswer: -166601.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -91 - 550 - 955 + 1129*r + 352 wrt r?\nAnswer: 1129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7800538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.5 (c) 0.2 (d) 3 (e) 0.35 (f) 41\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13506\/13 or -1039?\nAnswer: -1039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17490)\/795 - (-92 - -6).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66, 115, 160, 201, 238, 271, 300?\n\"Answer: -2*a**2 + 55*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 771 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5079780 divided by 6.\nAnswer: -846630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1142653 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*11\/((-3)\/3). Suppose -2*x - h = -y, 0*x - 8 = 4*x - 4*h. Solve -5*k + x*k + 8 = -3*c, -c - 20 = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -0.5, -2\/7, -12, -2\/5.\nAnswer: -34, -12, -0.5, -2\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 985*g - 485. What is the tens digit of s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1103 + 4?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 506838 (base 11) to base 15\nAnswer: 1113d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6519151km to nanometers.\nAnswer: 651915100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -30*a + 2. Let j be v(0). Calculate the remainder when (112 + -4 + 6)\/j is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4505 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*a + 1210, 6*a + 2453 = 10*a + 3*u. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5*u - 8 = 0. Put 4, 5, u in descending order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43240000 rounded to the nearest one million?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 - 188*a**2 + 1413*a - 319. Calculate y(-101).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -144.15 - -220.85. Which is greater: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -19*v**3 - 5*v**2 - 9*v. Let c(i) = 29*i**3 + 8*i**2 + 14*i. Calculate 5*c(k) + 8*n(k).\nAnswer: -7*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -2\/9 (b) -0.5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -1\/210*o**5 - 2\/21*o**4 + 2*o**2 + 0*o - 16\/21*o**3 + 0. Factor g(z).\nAnswer: -2*(z + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 965*d - 966*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3)\/a*a*a*a**4)\/(a\/a**(-1))**35)\/(((a**(-5)*a)\/a)\/(a\/(a*a\/(a*a\/(a\/(a*(a*a*a**4\/a)\/a))*a*a)*a)))**(-14) assuming a is positive.\nAnswer: a**(-659\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 854559.7 to the nearest 10000.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 57*f**4\/2 + 124915*f**3 + 1244826*f**2 + 3093885*f - 109325\/2 = 0.\nAnswer: -4373, -5, 1\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -1 - (9 + -12 + 28)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*n - 35 = 0, 4*a + 2*n = -2*n + 60. What is the greatest common divisor of a and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4112*n - 4100*n - 948. Calculate the remainder when 445 is divided by n.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -53.1. What is the closest to b in -0.4, -4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = l. Suppose l*o + 4 = o. Calculate the smallest common multiple of o and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*p + 50*p + 173*p + 166*p.\nAnswer: 144*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 10:17 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011889973 - 0.114?\nAnswer: -0.102110027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*d**3*p*r + 39*d**3*p + 8*d**3*r + 2*d**3 - 3*d**2*p + 3*d**2 + 5*d - 6433*r + 29 wrt r?\nAnswer: -8*d**3*p + 8*d**3 - 6433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 8:53 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -1\/12*k**4 - 4*k**2 + 13\/60*k**5 - 1\/2*k**3 + 0 + 0*k. Let q be f(-3). What is the highest common factor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1 + (4 + 2 - 4)*(1 - 3 + 4) + (-2 - 1 + 0)*(-1 + 5 - 2))*(29 - 11*x - 29).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89 and 50236050?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -2. Suppose -5*t + 111 = 2*i, -3*t + 7*t = -o*i + 216. Let u = i - 26. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1794 and 67275.\nAnswer: 134550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.638013 kilograms to tonnes.\nAnswer: 0.008638013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29117064 and 846?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-12 - 1) + (16 - 31).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20394 and 99480078.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/4 and (-6)\/(-24) - 106\/(-40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95577.\nAnswer: 3, 31859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105133 - 3?\nAnswer: 105130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 2 - 2)*(-3 - 2 + 4)*(1051 + 1030 - 2110) + 15 - 3*c - 15 + (-3 + 1 + 3)*(-3*c + 4*c + 0*c) + 0*c - c + 2*c to t + y*c and give y.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**(-15)*t**(1\/6)\/(t*t**(3\/2)) assuming t is positive.\nAnswer: t**(-97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 186, -13, 51 in descending order.\nAnswer: 186, 51, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.706 + 1.294. Which is the closest to 0? (a) -32 (b) 0 (c) 2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1030*l**2 - 10701 wrt l.\nAnswer: -2060*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -69*348\nAnswer: -24012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 2, -2\/73, 1?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 16438.\nAnswer: -21\/8219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n. Let d(l) be the first derivative of -l - 4 - 20 + 6. Let v(c) = c + 4. Let g(t) = -4*d(t) - v(t). Determine b(g(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 14805\/82567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.9191 to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 72, 90, 124, 180?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 48*h + 69. What is the tens digit of x(24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/108096 and 13\/192?\nAnswer: 108096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.30297 nanograms to kilograms.\nAnswer: 0.00000000003330297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-340)\/(-15))\/((-22)\/1218). Let l = -1253 - k. What is the common denominator of l and 5\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48.3861 + 0.0139. Let a = 54.72 - 6.72. Let z = i - a. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58349 + -154049. What is m rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/129 and (-10)\/(-24)*(-126)\/860.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8933?\nAnswer: 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.8 - -15.8. Which is the second smallest value? (a) r (b) 5 (c) 2\/13 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*v - v - 5*v)*(-2 + 5 - 2) + v + 2 - 2 + (-6*v + 2*v + 2*v)*(2 - 4 + 3) - 2*v - 3 + 3 + (2 - 4 + 0)*(5*v + 8*v - 4*v))*(-251 - 81*v + 251).\nAnswer: 1782*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 20 = -m. Suppose 5*b - 2*k = 131, -5*b + 0*k + k = -128. What is the highest common factor of b and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*m = 229646 + 971260. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 15*g + 5. Let q be p(16). Let x = 24 + q. Calculate the remainder when 37 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 5, -52, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - b, -8*b + 4*b + 22 = -3*i. Calculate the least common multiple of 38\/2 + 2\/i and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**9\/3024 - r**8\/560 + r**7\/420 - 2*r**3\/3 - 27*r**2. Let z(f) be the first derivative of k(f). Factor z(g).\nAnswer: g**3*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.94 + 47.94. Let g = -918 - -967. Let o = g - h. What is the smallest value in o, -4, 1\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 222307603*n - 476086640.\nAnswer: 222307603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -893 - -1313. What are the prime factors of y?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s + 2. Give m(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -59, -210, -457, -800, -1239?\n\"Answer: -48*d**2 - 7*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*h - 31 - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + 0.1. Let k = -3.8 + 3.7. Which is the nearest to -1? (a) -5 (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fififi. What is prob of sequence fif?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 3*l + l + 2, -6 = -i - 2*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from kkkkkkkvkkkkkvkvvv?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/12 - 13\/52?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-37)\/13764*-31)\/((-38)\/450) and 35\/2071.\nAnswer: 8284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8512631*o**3 + 2383876 wrt o?\nAnswer: -25537893*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632 = -4*b - 580 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 869.0606 rounded to zero decimal places?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 11:38 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4173 = -7*z + 4*b + 3996, 3*z - b = -48 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (0 + sqrt(72) + 2) - sqrt(72)) + 6*(sqrt(72) + -1 + sqrt(72)) - (sqrt(72) - (sqrt(72) + -3*(1 + sqrt(72) + sqrt(72))))*1*4)**2.\nAnswer: 3120*sqrt(2) + 12568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 119\/(-3) + 26\/39. Let r be (g - 361)\/(1*(-1 - -2)). Let s = r + 577. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -16. Let c be 52\/12 - 4\/o. Solve r - 2 = c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41257*u = h + 41262*u + 20, 0 = h + u + 20 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 46 + 11 + 432\/(-27)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 15*a + 15. Suppose -y = 3*w - 40, 2*w - y = -3*y + 24. Let v be h(w). Sort 4, -3, v in ascending order.\nAnswer: -3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -7*s - 90, 3*o + 878*s - 880*s = 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 75. Suppose r*j - 58 - 50 = 0. What is the highest common factor of j and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 18 - ((7 - 0) + (-5 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -254 or -253?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 4*w = 12*a - 14, -2*a - 4*w = -4. Suppose -i - 7*b = -a*b - 12, -6 = 3*b. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4094744 is divided by 9000.\nAnswer: 8744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 15*m + 94. Let t be -1 - -1*(-9 - (-2 + -2)). Let d be b(t). Let l(p) = 2 - 2 - p - 3. Give l(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 219*w**2 + 658*w - 2. Let j be x(-3). Put 1, 0, 5, j, 27 in descending order.\nAnswer: 27, 5, 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165 by 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 2. Let k be f(2). Let r be (-1)\/((k\/(-4))\/5). Find the second derivative of 0*w**3 - w**2 - r*w + w**2 - w**3 wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/35 + 83824\/59892\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47024?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*q + 2*f + 3 = 76*q, -5*q - 5 = 5*f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3212097 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-216)\/(-288))\/((-3)\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 - 1110010001000000?\nAnswer: -1110010001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423759.\nAnswer: 1423759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 0 + 24 = 4*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 2, h: 1, k: 1, b: 1, u: 1}. Give prob of picking 1 h and 2 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**5\/20 + 5*f**4\/12 + 2*f**3\/3 + 3*f**2\/2 - 5*f. Let p be q(-3). Calculate the highest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 1, 22 in descending order.\nAnswer: 22, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 3*n + 41, -1382*u - 5*n - 55 = -1386*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-18)\/28)*-39. Let s = -127 + r. Let i = -46 + 68. Calculate the greatest common factor of i and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - -76 - -23 - (18 + 4).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4921, -19697, -44325, -78805, -123137?\n\"Answer: -4926*u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1)\/d)**(10\/3)\/(d**2\/d)**50)**(2\/47))**3 assuming d is positive.\nAnswer: d**(-340\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(4 + (sqrt(117) + -2 - sqrt(117)) - ((-1*sqrt(117) - sqrt(117)) + -3)))**2.\nAnswer: 8640*sqrt(13) + 70992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2)*(k**4 - k**2 + k**2) + (-510 - 32*k**2 + 510)*(-2*k**2 + 6*k**2 - 3*k**2) to c*k**4 + u*k**2 + b*k**3 + x + o*k and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -509, -2879, -8999, -20747, -40001, -68639, -108539?\nAnswer: -161579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -314 (b) -5 (c) -2\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100110112 + -11?\nAnswer: 2100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 11:17 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42468.23 hours to seconds.\nAnswer: 152885628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1236 + 8*g**3 + g**2 + 402 + 398 + 403 to k + b*g**2 + s*g + x*g**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1100 and 11400?\nAnswer: 125400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20951?\nAnswer: 7, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Let g(s) = s**3 + 93*s**2 + 93*s + 96. Let z be g(-92). Solve 8 = z*x + 3*d, -5*x + x - j*d = -8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3))**(-9))**(-1\/42) assuming t is positive.\nAnswer: t**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*a + a + 2*o, 2*o = 4. Suppose 4*g - g = 3*p + 9, -3*p + a = g. Suppose -y + p*y + 1061 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47951.87mm in meters?\nAnswer: 47.95187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 623 (b) -4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21311 - -3777. Calculate the greatest common divisor of m and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1727 + -1715.59. Let w = 0.41 - g. Sort 2\/7, w, -4 in increasing order.\nAnswer: w, -4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130 + (-76 - -129 - 135).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -11 + 23 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -178, -181, -184?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-8))\/5)\/(6\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-495)\/18*6\/(-5)*(-2)\/6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 12*g + 3*g. Suppose g = -j - 4*j + 10. Solve 0 = -j*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 - x + x**2 + 0*x**2 + (-3*x + 2*x + 0*x)*(-2*x + 0*x + 0*x) - 2*x**2 + 6*x**2 - 2*x**2 + x**2 - 9*x + 9*x + (4 + x - 4)*(-5*x - 3 + 3).\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 41, 104, 213, 380, 617, 936, 1349?\nAnswer: 1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 9550.\nAnswer: 38200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112220212011 (base 3) to base 12.\nAnswer: 339604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 18 (c) 0 (d) 3 (e) 24.1 (f) -5 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - t + 3*t + 0*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*5*(-9 - (-145896)\/56). What are the prime factors of w\/104 - (-2)\/(8\/(-3))?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69777 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -r - 3*s + 68, 0 = 4*s - 8. What is the greatest common factor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b + 48. Let s = -1358 - -1466. What is the highest common divisor of s and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-3))\/((-16)\/(-72)). Let v = f + -7. Let s(q) be the third derivative of q**5\/60 - q**4\/4 + q**3\/2 + 20*q**2. Give s(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + p = 15, 3*i - 4 = 5*p - 14. Suppose -i*l + 1578 = -4*j, -7*j = l - 4*j - 308. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(7\/2)*(v\/v**(-8\/5))\/v)**8*(v**0)**(-1\/3)*(v**(-1\/4))**(-17) assuming v is positive.\nAnswer: v**(-59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 101270*f = 101267*f + 22, -3*n + 2*f - 7 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10427 by -2237.\nAnswer: -10427\/2237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5398 >= -5408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*a - 3*o + 10, 3*o = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 1, a: 2, g: 4, o: 1, y: 2}. Give prob of sequence wg.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.1. Let i = f - 0. Let v = -0.1 + i. Sort -2\/3, v, 0.2 in decreasing order.\nAnswer: 0.2, v, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -61\/8 (b) 14 (c) 6\/353 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 15*d**5 - d**3\/3 + 3102*d**2 - 2442. Find the second derivative of z(v) wrt v.\nAnswer: 900*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-74*(-1)\/(-3))\/(50\/(-3075)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/135 and -95\/133668.\nAnswer: 2005020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131 - -133. Let z be (0 + 0)\/(-3 - -1). Solve f*v - 6*v = z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 6. Let u be h(6). Suppose -443 + 182 = -9*p. Let d = u + p. What is the remainder when 49 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56569004?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*r - 23*r + 152*r - 65*r - 4 + 4.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 9*o + 21. Let v be l(12). Let c be v\/((-4)\/(-16)*6*-1). Is 9296\/c - 42\/70 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3134, 3182, 3264, 3386, 3554, 3774, 4052?\nAnswer: 4394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0536*0.3\nAnswer: 0.01608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/375)\/(19\/(-57)). Let i be (0 - -1)\/(((-96)\/8)\/12). Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -2\/2559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + s**2 + 0*s**2 + 21*s**2 + 0.\nAnswer: 22*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -19*h**2 + 80 - 60*h - 3*h**3 + 55*h**2 - 80 = 0.\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236098480 rounded to the nearest 100000?\nAnswer: -236100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -407 + 2636526?\nAnswer: 2636117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1481, -1450, -1419, -1388, -1357?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 2:21 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 115bc + 2572?\nAnswer: 13b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -220, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9628895 is divided by 802407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + -219. Let o = -102 - f. Solve 0*t + o*t + 6 = 0, -x + 12 = -5*t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -123 - 6?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9079225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136 or -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y. Let g(o) be the second derivative of 2*o**4\/3 - 7*o**3\/6 + 5*o - 4. Determine a(g(t)).\nAnswer: -16*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27619 - -27621. Let 7\/4*f**3 + 35\/2*f + 47\/4*f**x - 6 = 0. Calculate f.\nAnswer: -4, -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3121029479461003084515587\/75007867382757157845213 - -93\/7996856113401134. Let k = q + 4238\/44559. Let x = k + 6\/421. Is -43 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03132 to 3 dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 29*k**2 + 3*k. Let z(d) = -28*d**2 - 4*d. What is 4*o(f) + 3*z(f)?\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 67*h**2 + 9*h + 8. Let c be v(-2). Suppose 5*r = 5*o - 285, 5*o = -15*r + 11*r + c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 17, 6, 0, -1, 4 in decreasing order.\nAnswer: 61, 17, 6, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5 + 3 = 0. Let j = 247 + -148. Let n be (r\/(-6))\/(3\/j). Calculate the greatest common divisor of n and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 1 + 3 + -173 + 226\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5766 and 630.\nAnswer: 605430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 328.8 - 328.8. Which is the second smallest value? (a) q (b) 5\/2428 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14070 (base 13) to base 4\nAnswer: 21021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k + 25. Let h = 100 + 15. Suppose 0 = -r - 5*u + h, u - 113 = -k*r + 414. What are the prime factors of r?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589447 to the power of 1\/2, to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 3*a + 2. Let q be j(-3). Suppose -f = q*f + 9. What is the units digit of ((-1)\/(f\/(-18)))\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 441*g**4\/4 + 53*g**2\/2 + 284. What is the second derivative of r(y) wrt y?\nAnswer: 2646*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -219?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2)*-6 - 4. Let m be 82*h\/((-14)\/(-3000)). What is m rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 1 - -441) + 0 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + (2 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45389913 or -90779825\/2?\nAnswer: -45389913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 17 - 31 - m**2 + 13 + 9 - m. Let j be p(2). Let g be -1 - (-1 + j) - -4. Solve 0 = g*x - 5*l - 7, -4*x - 3*l + 1 + 0 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1*8\/36). Let g(p) = p. Let m(i) = i - 5. Let a(j) = g(j) + m(j). Let q(o) = -o + 2. Determine r*q(u) + 4*a(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3 + 16\/(-6). Let r be (5 - 13)\/(-5*(-4)\/(-10)). Which is the nearest to 1\/2? (a) w (b) r (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 21 - 9 = 0. Let o be ((-52)\/(-2))\/(-2) + n. Let g be (-241 + o)\/((-1)\/184). What is g rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 16. Suppose 3*s = i*s. Is s at least 1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8472496405 + 1763.8.\nAnswer: -8472494641.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 828713 divided by 6049.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -111a (base 15) in base 11?\nAnswer: -27a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 + 52. Solve 0 = -5*d + o*z - 28 - 0, 2*z = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-14)*2\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3358469551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3\/2 - 483*a**2\/2 - 1776*a + 2016 = 0 for a.\nAnswer: -8, 1, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from pxxnnffxnxxxnxnndudx.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 524 by -24.\nAnswer: -131\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021 plus 27717.1?\nAnswer: 27717.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 160 or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-3850)\/(-28)*(-4)\/(-6). Suppose 277*o - m*o = 6. Solve -2*c + o*j - 1 = 0, -3*c + 6 = -2*j - 0*j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 7 - 16*y + 10.\nAnswer: -16*y + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*p = 45, 0 = d - 0*p + p - 42. Let y = -34 + d. Solve -y*m + l - 4*l + 14 = 0, 0 = -m - 5*l + 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56959 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 13) to base 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(44)\/sqrt(4) - sqrt(11)) + -1 + -5 + sqrt(11) + sqrt(22)\/sqrt(2)))**2.\nAnswer: -96*sqrt(11) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j - 2*j + 0*j)*(0 - 1 - 1)*(j + 0 + 0) to the form m*j**2 + s*j + i and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 11*i**2 + 4*i - 15. Determine h(-11).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -301 + 30*u + 301. Let r be t(2). Suppose 5*o - r = 40. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -228*w**2 + 3 - 1270*w**2 + 4641*w**2 to t*w + q*w**2 + l and give q.\nAnswer: 3143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 l when four letters picked without replacement from {d: 3, l: 8, h: 5, e: 2, g: 2}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1550, -1551, -1552, -1553, -1554?\n\"Answer: -h - 1549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21a5 - -1?\nAnswer: -21a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2 (c) 5 (d) -2650 (e) -2 (f) 6 (g) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*x - 3*p - 270, -5*x + 5*p + 260 = 0. Suppose -2*c = -c - x. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-3 + 4)) + 5 + -12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4) + 8 + -1 - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**2 + 6*c + 3. Let r(a) = a**2 - a - 1. Let o be (-4)\/(-1 - -2) - -3. Let t(l) = o*p(l) - 5*r(l). Solve t(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7 + u**2 - 7*u**2 + 2. Let y(d) = -2*d**2 - 4. Let p(r) = 3*r**2 + 8. Let q(s) = 3*p(s) + 7*y(s). Determine 5*q(n) - 4*v(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1) + -4 + 2. Suppose -v + 0*v = -4*i - 4, 23 = 3*v - i. What is the lowest common multiple of (-6)\/z + (-2)\/4 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1375*b + 1370*b - 3 - 1. Calculate t(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41461, -90240, -139019, -187798, -236577?\nAnswer: -285356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 281*w - 18810.\nAnswer: -(w + 110)*(w + 171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -7, -824 in ascending order.\nAnswer: -824, -7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 56693 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by ((-9)\/(-4))\/((-4)\/(-16)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*v - 1059*v + 46590 = 0 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 29. Let v = 13 - z. Let t(k) = k - 2. Let n(j) be the third derivative of j**4\/24 - j**3\/3 + j**2. Determine v*t(m) + 5*n(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005391128 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-2 + 4) - 23\/((-230)\/(-60)). Solve -10*y + 32 + 28 = h for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**2\/b)**(1\/27)\/(b**0*b**(-1\/4)*b))**(-22))**(-2\/27) assuming b is positive.\nAnswer: b**(-847\/729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36711 take away -0.1?\nAnswer: 36711.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4628090 less than or equal to -4628090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4*t - 11 = 0, 5*w = t - 153 + 129 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 13274490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.3. Which is the second biggest value? (a) 1 (b) t (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1195*u**4 - 58*u**3 + 496572*u wrt u?\nAnswer: -14340*u**2 - 348*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/14 + 0\/(-2). What is the second smallest value in -0.3, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7189*l**2 + 45*l - 22*l - 23*l + 69185*l**2)*(3 - 1 - 1) as y + j*l + r*l**2 and give r.\nAnswer: 61996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1407.35 and -2.55?\nAnswer: 3588.7425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108675 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let q be j(1). What is the remainder when 4\/14 + (-808)\/(-14) is divided by q + (-1 - 0) - -22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82 - -62 - (-16)\/19) + 19?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6 = 2*w + 3*y, -3*y = 2*w - 5. Let k be -1*w\/2 + 26\/4. Suppose u - 3*o - k - 5 = 0, -5*o = 5*u + 5. Solve -1 = -u*s - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 264637?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7775078?\nAnswer: 2, 113, 34403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26, 0.8, -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (0 - 3 - 2). Let v = d + -7. What is the closest to -1 in 2, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 13 + 5 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 13*d**2 + 12*d - 18. Let w be r(12). What is the tens digit of w\/((-2)\/(-8) + -3 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1. Let g(d) = -171*d**3 - 33*d**2 - 6. Let b(t) = g(t) + 6*i(t). What is the third derivative of b(s) wrt s?\nAnswer: -1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578 = -4*x - 3*g, 4*x + 4*g - 336 - 244 = 0. Put -0.1, x, -3 in decreasing order.\nAnswer: x, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 + -375.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/3498 and 53\/4?\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + 8 + -18)*(-1)\/4 - -4. What is the smallest value in c, 1\/4, -1\/3, -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1331 + 10649. What is the thousands digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-54)*-6*(-2)\/(-6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 5) + 6 - -24. Suppose 0 = -5*a - f + p, -a - 3*a + 3*f + 14 = 0. Suppose a*t = 10, -2*u - 4*t + 582 + 184 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**2 - b - 3553. Let u(i) = -2*i + 8. Let j be u(-4). Suppose 0 = -5*p - j + 1. What is g(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21635*f**3 - 533*f**2 + 68106206*f wrt f.\nAnswer: -129810*f - 1066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4716?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/3))**(-2\/35)*q**(-2\/5)*q*q*q**5 assuming q is positive.\nAnswer: q**(701\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 21*h - 33175 = 16*h, -4*h - 26532 = -4*f. What are the prime factors of f?\nAnswer: 2, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 2\/137?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert b1cd (base 16) to base 3.\nAnswer: 2022102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -4, 145, -5, 4.\nAnswer: -5, -4, -0.12, 4, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-800)\/(-140) - -1*4\/14. Let r(g) = -25*g**2 + 11*g**2 + 14*g**2 + d*g**2. Let t(b) = -12*b**2. What is t(r(v))?\nAnswer: -432*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1230, 1591, 1952, 2313, 2674?\nAnswer: 3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000000 (base 2) to base 11.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -4*y + 12, -168*v + 177 - 814 = 7*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 1 - 3. Suppose -4*g - 2*k + 236 = o*k, 2*g + 4*k - 118 = 0. What is the remainder when g is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 154 - 157. Sort f, 5, -1.\nAnswer: -1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(42)\/sqrt(3))\/(sqrt(847) + sqrt(847) + 2*sqrt(847) - sqrt(7) - sqrt(7)).\nAnswer: -2*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7652 - -2.7652. Which is greater: -847 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 10:32 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 12*h**2 - h + 2. Let i be d(12). Let c be (5 + 0)*2\/i. Let y be (c - 11\/(-4))\/((-1)\/(-12)). What is y rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 0*j**3 - 5*j**3)*(-204 - 77 + 616 - 137).\nAnswer: -1386*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -a, -5*q + 4*a = -a - 160. Suppose 0*p + q = 2*g + p, 3*p + 8 = g. Calculate the remainder when 41 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4550520 to the nearest 100000.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63*b**3 - 2011469*b*h - 697246959*h wrt b.\nAnswer: 189*b**2 - 2011469*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 11:50 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/15, 0, 0.1, -1\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 3*l - 2*l)*(-18518 - 224*l**2 + 18518 + (l + 4*l - 3*l)*(-4*l + 16 - 16)) as y*l**3 + z*l + u*l**2 + s and give y.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110259115.\nAnswer: 5, 79, 279137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-1 + 0 - 1). Suppose z*j - 270 = 2*j. Suppose 0 = 2*a - 6, 4*h - a = -2*a + j. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20246 and 6572.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j = -6. Suppose -79 + 6 = -o - j*x, 4*x = -o + 83. Calculate the remainder when o is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (5 + (-19 - -3) - -20)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*g + 271*g = 286 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*s - 377 = 363*s. Let m be (-2*1)\/(-2) + 2. Differentiate -h**3 - h**m + s*h**3 + 35 - 28 with respect to h.\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16223 and -35.\nAnswer: -5.67805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*w + 63*w + 189. Solve 20*v - w = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 1. Let h be (-4)\/(-6) + (-33)\/9. Let u be r(h). Suppose 50 + 9 = 3*m + u*w, 5*m + 5*w - 85 = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -3\/4 (c) 6 (d) -1174 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - -56 - ((5 - 20) + -3).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -1, 3*o = -0*o - 3*x + 9. Suppose s + 0*s - o*f + 10 = 0, -4*f + 14 = s. Let v(h) = -3*h - 8*h - 3 + 7*h. Give v(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -290 + 1e8e?\nAnswer: 1bfe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*f = -310*f + 585 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 254 and 1655191.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(192) + 0) + 6*(sqrt(192) - -2*sqrt(192))**2 + -5)*-2*-5.\nAnswer: -160*sqrt(3) + 103630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 7*z - 170. What is the remainder when z is divided by (-44)\/(-5) - 2\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1875890006.\nAnswer: 2, 71, 13210493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 z, and 1 n when four letters picked without replacement from kkbkzzjznkjzj?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -57. Let k be 4\/14 + (-156)\/(-42). Calculate the greatest common divisor of q and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140 + -1?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/30)\/((-324)\/(-270)) + (-40390)\/8. Are -5047 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-8\/3)\/g)\/g**(-23) assuming g is positive.\nAnswer: g**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/5)\/(v\/(v\/v**(-11\/5)))*(v*v**(-1\/2))**(2\/3) assuming v is positive.\nAnswer: v**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -f - k - 0, 0 = -4*f + 3*k + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v = -143 + 43. Solve 0 = d + 1 + v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11411 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-61)\/(-122))\/(2\/(-96)*-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0677912 to four dps.\nAnswer: -0.0678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13626 - -116536?\nAnswer: 102610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65077*a - 16*a**3 + 65075*a - 8*a**3.\nAnswer: -24*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - 2.02. Let p = 1.952 + k. Let h = p - -0.588. Round h to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 21*d - 222*d = 154*d - 26044 for d.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 147*y - 10869. What is l(74)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 2:33 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -6.9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*n - 26 = 6*t, 5*n = 2*t - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3357)\/(-45))\/(((-120)\/(-1612))\/3). Let n = -3008 + i. Find the common denominator of 17\/2 and n.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + j - 5 = 6*s, -5*s = -5*j + 25. Let g(q) be the second derivative of -25\/6*q**3 + 15*q**2 + s + 5*q + 5\/12*q**4. Factor g(m).\nAnswer: 5*(m - 3)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 10*z + 6. Let r be m(5). Suppose -4*s + r = -c + 3*c, -3*s = 5*c - 49. What is the highest common factor of 104 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7355 is divided by 946?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2 - 6*l + 6. Suppose v - 6*v = -25. Let m be p(v). Let g = m - -367\/3. Which is the smallest value? (a) g (b) 0.2 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-64))\/((-55)\/(-44)). Let b be 2*-1*(-1)\/9. What is the closest to b in p, 35, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 0 - 1 + 3*h**3 + h**2 + h**2 - 4*h**2. Let z be x(2). Solve 2*b = -b - z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*0\/(-5*(-8)\/(-10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -4*g + 895. Suppose -58 = 4*c - g. Suppose -5*p + 341 = c. List the prime factors of p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -14*v**3 - 63*v**2 + 7*v - 727. Let n(c) = -7*c**3 - 36*c**2 + 4*c - 364. Determine 4*b(r) - 7*n(r).\nAnswer: -7*r**3 - 360","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2285067 is divided by 473.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 165*j + 3725. Let d be q(-138). Let l be (2 - 4)*26\/4. Let w = 94\/7 + l. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/10, -4, 0.\nAnswer: -4, 0, 13\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - -3 - (-3)\/1. Suppose 5*x = k + 16, -4*k = 4*x - 3*k - 11. Solve z*y - 30 = 5*y - x*t, 0 = 2*y - 4*t + 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -3, -559 in decreasing order.\nAnswer: 4, -3, -5, -559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16199 = 2182*i - 59839 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -806\/127?\nAnswer: -806\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 53*q - 55*q. Suppose -h + 2*h = 0. Suppose -3*z + 9 + 0 = h. Calculate the least common multiple of q and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 - 5.2. Let v = f - -6.5. Let s = -4343\/8 + 543. Which is the closest to -0.5? (a) s (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68 and -0.68?\nAnswer: -46.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -473*c*l*w**4 - 4*c*l*w**2 + 66*c*w**2 + c - l*w**3 wrt w?\nAnswer: -11352*c*l*w - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29686, 29814, 29942, 30070?\n\"Answer: 128*v + 29558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59782745?\nAnswer: 5, 11, 61, 103, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-5))\/((-2)\/(-5)). Suppose u*b - 6 = a, -4*a + b + b = -6. Suppose z - a = -0*z. Let f(y) = y**2 - 2*y + 2. Calculate f(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*g - 16. Let j = -1 + g. Let k be (3\/2)\/(12\/16). Solve -j = -k*n + 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -13*n**2 - 36*n - 67. Let h(a) = -14*a**2 - 37*a - 83. Let p(z) = 6*h(z) - 7*y(z). Calculate p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*k*t**2 - 1866895*k*t + 29280*k - 682 wrt t?\nAnswer: -18*k*t - 1866895*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 74?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 331*h**2 + 5*h + 4. Is 33 a factor of d(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220 - 41031?\nAnswer: -41251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4389 - 228*u - 4389 as w*u + t and give w.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:18 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6172*w - 6552*w + 12030*w - 6 in the form m + d*w and give d.\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.31, -0.4, 3 in descending order.\nAnswer: 3, 2, -0.31, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.066 or -54720?\nAnswer: 2.066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1101 - 1101.1. Let q = 5.1 - 1.1. Which is smaller: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 7*m + 23. Let y be n(-2). Solve 5*a = 4*o + y, 4*a - 8 = -5*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -3700)*(-11)\/11. Let x = 10234 - a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(12) + (sqrt(12)*-1 - sqrt(12))))\/sqrt(2) - sqrt(99)\/(2*sqrt(9)*-1).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (0 + -3)) + -2 - (1 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52703458?\nAnswer: 2, 853, 30893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**8\/50400 - n**6\/450 + 2*n**5\/15 + n**3\/3 + 19*n**2 - 4. Let w(x) be the third derivative of i(x). Factor w(j).\nAnswer: 2*(j - 2)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 6:43 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + (-747)\/(-18))*(-76)\/2. Let z = 2259 + d. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) + 0)*-5 + sqrt(6)\/sqrt(32) - ((sqrt(363) - (sqrt(363) + -2)) + 2)) + 0 + 3)**2.\nAnswer: 19*sqrt(3)\/2 + 1099\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-27 + 24) - 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348288?\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49824889, -49824891, -49824893, -49824895, -49824897, -49824899?\nAnswer: -49824901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 552 and 84?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3441 in 2, 2\/19, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r + 47. Let h be y(-5). Let o be (28\/(-5))\/(-4) + (h - 3). Factor 0*t**2 + 1\/5*t**5 - o*t**4 + 0*t + 0 + 0*t**3.\nAnswer: t**4*(t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/(7\/210). Solve -x + z = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 63*r - 47*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.236 + 0.336. Which is bigger: i or -45?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 + q**5 - 4*q**5 + (-35*q**5 + 13*q**5 - 6*q**5)*(-4 - 1 + 3).\nAnswer: 55*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -63824603\nAnswer: -19147380.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - -62. Let j be d\/2*4\/(-8). Suppose 2*l = -2*b, j*l - 5*l - 36 = -4*b. What is the closest to l in -5, -2, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6345 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 87*c**3 + 95*c**2 - 5*c + 5. Let s(v) = v**3 + v**2 - v + 1. Let u(y) = n(y) - 5*s(y). Find the third derivative of u(q) wrt q.\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 2104301?\nAnswer: -2104311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 94014726 divided by -31338242\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 26 = 2*h. Suppose 3*n + h = 65. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*f - 15*f + 10*f + 2*f**3 + (-3*f + 0*f + 4*f)*(-f**2 - 4*f**2 + 0*f**2).\nAnswer: -3*f**3 - 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1783.94012 - -1784. Let f = 146.941 - 147. Let d = w + f. Round d to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + r - 51. Let n(v) = v**3 + 15*v**2 - 38*v + 24. What is the tens digit of n(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 54. Give d(-10).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - 8 - 749324\/1826. Do c and -420 have different values?\nAnswer: True","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 m(y) = -10*y - 3. Let c(u) = 10*u + 2. Let b(j) = 7*c(j) + 6*m(j). Let o be b(1). Solve 0 = i + 5 - o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z. Let a be u(2). Let j be a\/(-3 - -1) + -4. Let o = j + 12. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 76 = 41. Suppose 4*m = 4*z + 464, 0 = m - v*m - 5*z + 437. List the prime factors of m.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y - 3. Let w(x) = -3*x + 1. Give 4*j(g) + 7*w(g).\nAnswer: -g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t + 22*t - 60. Let p(m) = -3 + 8*m**t + 0 + 7*m**2 - 13*m**2 - 3*m. What is p(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-2*(1900\/(-8) - -19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -62. Calculate the smallest common multiple of (-1 + 1)\/(38\/b) + 6 and 146.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.796 + -4169.\nAnswer: -4169.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 8 + 37 = 0. Let o(m) be the second derivative of 1\/18*m**4 + 2\/3*m**2 + 1\/3*m**3 + 0 - f*m. Factor o(p).\nAnswer: 2*(p + 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 6*j + j**3 - 7*j**2 + 3*j**2 + 0*j**3 - 7. Let z be b(-4). Suppose -5*r + 0*r = t - z, 4*t - 8 = 0. Sort -5, r, 4 in descending order.\nAnswer: 4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4062511 is divided by 109784?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 2*x**2 + x - 6. Let o be (-36)\/10 + 6\/10. Let m be f(o). Suppose 0 = l + 5*t + 1, -t = -5*l - m*t - 5. Are -47 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-362)\/(-3) - 6\/9. Suppose 4*q = l + q - 19, 4*l - q - o = 0. Let a = 18 + l. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152445 (base 6) in base 5?\nAnswer: 11430143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etgexzgxttegggxegg. What is prob of sequence gxxe?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0 - 10. Let d be (1*g\/10)\/1. Let r = 19 + -19. Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -220, 57.\nAnswer: -220, -3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 7*k**2 + 7*k + 9. Let i(d) = 2*d + 17. Let t be i(-5). Let s(l) = l**2 - 10*l + 15. Let h be s(t). Let w be a(h). Solve -5 = w*u - 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6*c - 18. Let a be ((-2)\/(-6))\/(1\/69). Suppose -8 + a = 5*p. What is the least common multiple of p and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-8)\/40)\/(16\/20)*186)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(1\/7))*o)\/(o**8*o))**(-7\/3) assuming o is positive.\nAnswer: o**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - (5 + -7 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**3\/5 + 1658*x**2\/5 + 53384*x\/5 - 11008 = 0.\nAnswer: -32, 1, 860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.053 + 31.947. Suppose 36 - 23 = 3*i - 2*f, -3*i + 23 = -4*f. What is the closest to j in 0.4, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o**4 + 14*o**2 - o + 1. Suppose -i + 2 = 3. Let v(m) = -m + 1. Let k(l) = i*y(l) + v(l). Find the third derivative of k(a) wrt a.\nAnswer: 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -43.4, -0.6, -3\/7?\nAnswer: -43.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 367.6 - 359.6. Sort g, -2, 1\/6, 0.\nAnswer: -2, 0, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 4*p + 536, u - 3*p - 670 = -4*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 50*s**2 - 46*s - 135. Calculate the least common multiple of 450 and x(49).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - y. Let s be u(-1). Suppose s = -6*c + 6 + 6. Solve d - 8 = -c*p + 3*d, -4*d = p - 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vccc when four letters picked without replacement from vvcvvvccvv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60838*p + 60831*p = -14. Solve p*i = -5*q - 18, 8*q - 11*q = i + 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 2. Let x be u(0). Let n be 0 - 2 - (-9 + 2). Suppose 3*j = -z + 37, -n*j - z - x*z + 67 = 0. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44778, -88045, -131310, -174573?\n\"Answer: l**2 - 43270*l - 1509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - 12*j - 5. Let w be z(-4). Let s(y) = -y**3 - 2*y**2 + 8*y - 21. What is the remainder when 26 is divided by s(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + h**2 + 2 + (3*h + 4 - 4)*(h + 0 + 0) - h**2 + 1 - 1)*(-h**2 + 2567*h - 6 - 2567*h) to the form t*h**4 + k*h + d*h**3 + g + x*h**2 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30913 + 30913 + 78*r)*(r**2 + 0*r**2 - 3*r**2).\nAnswer: -156*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 83, 0.08, -1\/2, -0.046?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44365 (base 7) in base 12?\nAnswer: -656a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 11:02 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 8*q + 4. Determine v(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8)\/(x\/((x**(-21)*x)\/x)*x))**49 assuming x is positive.\nAnswer: x**(-1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 9*m + 2031415, -10*m - 3047238 = -3*k - 13*m. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13976 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 93 = -3*u. Let r = -5416 + 5415.7. What is the smallest value in r, u, 1\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 1. Let c be 3\/1 + -3 + -1. Let a be z(c). Calculate the greatest common factor of a and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -0.1 (b) 28 (c) -0.4 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 4*a**2 + 3*a + 3. Let v be w(3). Suppose 22 = v*l + 4. Suppose 0 = l*r - r - 5*f - 11080, -2*r + 4430 = -4*f. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2773515 - 0.2772. What is h rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1795 = -o, -3*o + 8*o = u + 383. Let r be 4*u\/20 - 0. Let s = r - -72. Which is the biggest value? (a) s (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104328 and 78246?\nAnswer: 312984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3484\/24 + -2 - 2\/12. Let v = 102 + j. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*o = 47579, -d + 352*o = 348*o - 15873. Which is greater: 15854 or d?\nAnswer: 15854","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:04 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*k - 22, 5*k = -5*a + 6*k + 39. Solve 12*p = a*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111001010000100 + -100?\nAnswer: -1010111001010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a - 22 + 13 + 9.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -54 + 270. Suppose 4 = -i*q + 55*q. Solve -m - q = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4760141 is divided by 5884?\nAnswer: 5869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 y, and 1 o when four letters picked without replacement from mmmsmmssyoommo.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 48. Let x be (1 + -3)\/((-2)\/3). Suppose a = x*a - 26. What is the remainder when h is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63.993 - -0.007. Which is the second smallest value? (a) -1\/2 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + o + 36. Let i be y(0). Let l be (18\/24)\/(3\/i). What is l rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20161.\nAnswer: 20161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 21 = -3*f - 3, r - 2 = -f. Suppose t = -f*t + 30. Solve 12 = 2*k - t*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1193.5 + 1194. Sort s, -2\/7, -1\/3 in increasing order.\nAnswer: -1\/3, -2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {u: 1, k: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2.4. Let a = 397\/45 + -43\/5. Sort x, a, 1 in descending order.\nAnswer: 1, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90800.0599864 - 90800. Let i = 0.06 - p. What is i rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 413 + 386 = 0. Suppose x = 2*x - 2. Put z, x, -5 in descending order.\nAnswer: z, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*c + 29. Let o be (-73074386)\/(-9) + 6\/c. Suppose 0 = 5*d - o - 880624. Round d to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) + 0 + 3).\nAnswer: 5*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxjxddjpddxxxxxxxppj. What is prob of picking 2 j, 1 d, and 1 x?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8*r + 2*r + 7*r.\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7*12.8023.\nAnswer: 21.76391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111709\/(-4627) + ((-2)\/14)\/(2 + -3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4434340 is divided by 70386.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9060218 or -9060178?\nAnswer: -9060178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100010011100010 (base 2) to base 11.\nAnswer: 7a119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16533 or -3157694\/191?\nAnswer: -16533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 11*j. Suppose 6*y + 14 + 10 = j. Is (-315)\/y - (-5 + 76\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 13*m**2 + 6*m + 13. Is 40 a factor of x(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjqnkkjwjjjkwjjnj. Give prob of sequence wn.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k*k**(-4\/7))**(-1)\/(k**(-4)*k\/(k\/k**(2\/7))*k**(-37)) assuming k is positive.\nAnswer: k**(317\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sum 25682 and 2.\nAnswer: 25684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1631 + 1631.009376. Round a to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2840)\/(-940) - (-1 + 4). Which is the nearest to 0.5? (a) -5 (b) q (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 97\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3374 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Suppose 16 = -2*v + 12. Let o be i(v). Which is the second smallest value? (a) o (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) + (-597)\/(-12). Suppose 4*i - 3*i = v. Calculate the highest common divisor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + 1*sqrt(304) + 2.\nAnswer: 4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.1 and -0.074.\nAnswer: -0.6734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*q + 5*y, -4*y + 42 = 5*q + 102. Which is bigger: -10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 3055*r**3 - 163305*r**2 - 3034205*r - 18999430.\nAnswer: -5*(r + 19)**3*(r + 554)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392472 divided by -5451.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 27 = 2*v, v - 1 = -0. Calculate the highest common factor of 10 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.75618 minutes in weeks?\nAnswer: 0.013467875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -257 + 128. Let g = x - -133. Which is the nearest to -1? (a) -2\/9 (b) g (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21945 + -12244. Suppose 0 = -7*j - 167 + r. What are the prime factors of j?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**8\/112 + m**6\/90 + 5*m**3\/6 + 2*m**2. Let x(i) be the first derivative of b(i). Find the third derivative of x(y) wrt y.\nAnswer: 360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1105*v + 14446. Calculate f(-13).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**4\/12 + 37*c. Let p(o) = -1 + 1 - 5*o. Determine p(v(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 33*q**2 + 27*q - 89. What is the tens digit of y(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 5) to base 4\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-4)\/(-8)*-1. Let r be (-3 + 6\/2)\/(z - -1). Suppose -2*v + 3*y = -3*v + 23, -5*v = 5*y - 65. Put r, 1, v in decreasing order.\nAnswer: v, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*x - 163 = 966 + 2083 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-2)*b))\/b**(-2\/7))\/(((b\/((b*b**17)\/b))\/b)\/(((b*b*b**11*b)\/b)\/b*b)) assuming b is positive.\nAnswer: b**(226\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)*6\/(-18). Suppose d = -s + 3*z + z - 20, -143 = 4*s + 5*z. Let w = 34 + s. Solve -w*c + 0 = 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*d + 44*d + 30. Let z(b) = b**3 + 5*b**2 + 3*b - 1. Let v be z(-4). Suppose -y = v*y - 40. Calculate the remainder when y is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 74*j - 2. Let w be m(4). Let n = w - 566. Round n to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t - 7. Determine i(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47868*z**3 - 6280*z + 6274*z + 47887*z**3.\nAnswer: 19*z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:14 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/(-2))\/((-403)\/(-65) - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20629199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102 - 4?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1062*n + 7447. Determine d(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 10*l**2 - 24*l + 1. Let p be j(-12). Is p\/2*(-11 + 123) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544572364?\nAnswer: 2, 7, 37, 525649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 35. Suppose -24*b + 22*b = -a. Suppose -b*g - 3 = -63. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(7\/338) - (1 + 2). Suppose s + 4*s - l = 0. What are the prime factors of s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3167 - -3171. Suppose -4 = -s + 3*i, -21 = -4*s - i - 5. Solve s*w = -8 + t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-70))\/((-963)\/4494)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*5\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*s + 5*s. Let b be 187\/(-44) - s\/4. Let q(y) = -12*y - 27. Let f be q(b). What is the highest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 75 = -4*x, -5*u - 2*x - 41 - 4 = 0. Let t = 5 + u. Let l(f) = -f**2 - 6*f + 5. Determine l(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121111 (base 4) to base 12\nAnswer: -b31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 32.97. Let c = -0.66 - t. What is the third smallest value in 2, c, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26484 by -2.\nAnswer: 13242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6942705369.\nAnswer: 3, 73, 271, 116981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*z = -267*z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -428 + 424. What is the closest to -33 in 2, 2\/23, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16688 and 0.17?\nAnswer: -0.0283696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -23*w - 9. Let o(r) = 8*r + 3. Give -4*j(k) - 11*o(k).\nAnswer: 4*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -34.05 * -0.1\nAnswer: 3.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13 - 0.66. Let x = 8.53 + c. What is the biggest value in 3, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 744069*j**2 - 46119065805*j + 2169240052725.\nAnswer: -3*(j - 47)*(j + 124035)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 549, 0.1, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3 - 1\/3*h**4 - 1\/3*h**3 + h**2 + 1\/3*h = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 840276.\nAnswer: 3361104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**5 - j**2 - 6*j**2 + 0*j**5 - j**2 wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11203122 (base 5) to base 13\nAnswer: -36920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24293959386.609676 - 35316.390324. Let h = -24293994540.00000077 - t. Let y = -163 + h. Round y to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -2995?\nAnswer: 8985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.722, -17, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 187099067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 36*x + 216. Let r be q(-5). Let j(l) = l**2 - 12*l + 13. Determine j(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(576))\/sqrt(2).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73435*b + 83732*b + 116803*b.\nAnswer: 273970*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2431 + -1)*(4 - (-12701)\/(-39))*2. What is p rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0, 48668, -13.\nAnswer: -13, -5, 0, 4, 48668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 8*c**2 - 2*c + 11. What are the prime factors of r(9)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(99)*1 - sqrt(99)) - sqrt(99) - sqrt(99))*2)**2 + 4.\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 21357 = -42*m + 40*m, 17100 = 4*n - 4*m. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 21 = 5*b - 2*n, 5*b + 25 = 5*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 2967.\nAnswer: 17802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -11 - (-2270)\/260)*48\/42?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 142\/8 - 1\/(-4). Suppose h - 4 = -2. Suppose h*m = p - 0. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*b + 29*b + 39 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j*o**2*p**2*u + 114158331*j*o**2*p*u + 87*j*o*p**2*u - 2*j*o*p**2 - 5*j*p*u - 638*j*p + 3*o*p**2*u + 4*o*p**2 wrt o?\nAnswer: 6*j*p**2*u + 228316662*j*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9723881*a**2 + 22352425 wrt a.\nAnswer: -19447762*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -947806826*g**2 + g**3 + 947806826*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*y - 1100 + 3620 = 0. Suppose 0 = -29*l - y + 64. Which is the third biggest value? (a) l (b) 1\/28 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 249. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 9 = -3*h. Let b(j) = 10*j**2 + 1090*j + 1090. Let w be b(-1). Solve o = 5*y - 4 + 2, -w = -y - h*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 653284634?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2920671 to the nearest integer?\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 + 4*x**2 + 3*x - 2. Determine n(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4331 (base 6) in base 8?\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-1 + (13 - 11) + 4 - 21).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -57*c - 84. Let z(n) = -11*n - 16. Let m(p) = 4*v(p) - 21*z(p). Let j(k) = 734*k. Determine m(j(a)).\nAnswer: 2202*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 0.019205618\nAnswer: 0.0134439326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3551, -3550, -3549, -3548, -3547, -3546?\nAnswer: -3545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b + 9 + 25 = 0. Let r be b\/115*((-192)\/(-54) - 3). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (1 + -2 - (22 - 15))) + -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374, -1409, -4218, -9689, -18710, -32169, -50954, -75953?\nAnswer: -108054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -4, -1.\nAnswer: -36, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(2\/24) - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*v - 45*v - 57 = w, -7*w + 4*v = -51 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 take away 48.78?\nAnswer: -60.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2272, -9102, -20486, -36424, -56916?\n\"Answer: -2277*b**2 + b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y + 67. Let b be q(9). Let i = b + 118. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6412.79182 + -6263.793. Let p = -454 - -305. Let x = p + l. Round x to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3628, -7350, -11070, -14788, -18504?\nAnswer: -22218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/10*4)\/(1*16\/280)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120309 is divided by 216?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1545 is divided by 432?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272116556 divided by -6328292.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17767790*u**2*v + u*v**2 + 9380105*v**2 wrt u.\nAnswer: -35535580*u*v + v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*h + 15 = 0, 6 = -3*r + 2*h + 3*h. Suppose 0 = -26*i + 45 + 33. Let j be 4\/r - 4\/i. Which is the second smallest value? (a) j (b) -2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9512 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -4*r, -1366 = z - r - 1366 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Suppose -h*b - 6 = -i - 28, 3*i - 34 = -4*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865130976.\nAnswer: 2, 3, 163, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 - u - 2. Let l be s(-2). Let d = l - 8. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28843 and 299.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {a: 1, w: 2, f: 1, q: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 10 + (-8 - (-2 - (-13 - -12))) + 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 185*l + 4761. Calculate the remainder when z(-14) is divided by 99.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -4. Let u be (12\/36)\/((-2)\/(-72)). Suppose -3*l - l = -u. Solve -4*k - 10 = x*m + k, -3*k = -l*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnh when three letters picked without replacement from {n: 3, h: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 6*x**2 - 3*x + 15. Let b(k) = 2*k**3 + 17*k**2 + 8*k - 44. Calculate -3*b(c) - 8*d(c).\nAnswer: 2*c**3 - 3*c**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.8 + 7. What is the second biggest value in -3, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0 + 1, -5*o - 5*y + 1450 = 0. Suppose -4*z - 3*m + 2*m + 1142 = 0, z = -2*m + o. What are the prime factors of z?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 443636854 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2372, -2386, -2400, -2414?\nAnswer: -2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 865 - 3455\/4. Let p = -107\/4 + 1399\/52. Which is the biggest value? (a) 2\/9 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(-2*sqrt(1452)).\nAnswer: -sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (5 - (5 - 0)). Sort 0, -2, -1, x in ascending order.\nAnswer: -2, -1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172332 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.31144 to 2 dps.\nAnswer: -8.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, t: 1, n: 1, w: 1, k: 2, j: 2}. What is prob of picking 2 x and 1 k?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/5 + 782*g\/5 + 100572\/5 = 0.\nAnswer: -102, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgmmmmsgggmqmgmsmmms. Give prob of sequence qqs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8763 + -1329. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 + 3*y - 3. Let z be (-2)\/(-3) + 28\/(-6). Suppose -322*v = -26*v - 888. Let a(r) = 4*r**2 + 4*r - 4. What is v*a(w) + z*b(w)?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -6 - ((60 - 69) + 1 + 17).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 787348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 4:53 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 6. Let f = -4 + y. Suppose a + f = 6. Solve m + 3 - a = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3482180 and 1820?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 86\/(-86)*((-3)\/(-1) - 2). Which is smaller: 4\/12577 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = k + 7*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -65*q**2 + 170*q - 65. Let d(m) = 32*m**2 - 85*m + 33. Let z(c) = -5*d(c) - 3*h(c). Suppose z(t) = 0. Calculate t.\nAnswer: 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5036\/6 + (-6)\/(-9). Suppose -5*b - u = -0*b - 4*a, -139 = b + 5*a. What is b rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = 134*q + 1176 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*(2 + -1 + -2). Let g be 15\/(-5) + (-2 - y). Let k be (12\/(-10))\/(4\/(-10)). Solve -5*a - 7 = 2*u, 1 + k = -g*a + u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011000011110100 - -11000?\nAnswer: 1010011000100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11562 (base 9) to base 10.\nAnswer: 7751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -167, -251, -335?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000273364 to 6 decimal places.\nAnswer: 0.000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -b - 340, 4*b + 101 = 93. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 - a. Let b be g(-1). Find the common denominator of b + 4 - (-101)\/(-14) and -53*((-3)\/(-2))\/3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51486 - 51486 + 196*u - 5*u + 3*u + u + (6*u - 2*u - 2*u)*(0 + 0 - 1) to the form x + q*u and give q.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, g: 9}. What is prob of sequence ggg?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 3)*(-237 + 394 + 445)*(-z + 5*z - 3*z) to the form c*z + y and give c.\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 + -25. Let j be (2\/(-6))\/(12\/m). Put -3, j, -2 in descending order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82263021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t = 63*t - 28 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80322 (base 12) to base 14.\nAnswer: 4489c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 4766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*x + 2, -t + 9*x - 7*x = 7. Which is the nearest to 0.59? (a) 2 (b) -3\/2 (c) t (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -17*q + 18*q. Calculate the lowest common multiple of q and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -65872104?\nAnswer: 65872106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12*p + 113. Let f be t(9). Let k be (-6)\/(-2484)*(-5)\/(f\/(-4)). Do k and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*i**3 - 7*i**3 - i**3)*(3 + 0 - 1) + (3 + 0 - 4)*(6*i**3 - 3*i**3 - 2*i**3).\nAnswer: 49*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4499 divided by -6.\nAnswer: -4499\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3698 - 232.\nAnswer: -227.6302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4302*j + 6. Let f be w(-3). What is f rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + (-91)\/(-28). Solve 0*x = -w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4472, -17, 2\/3, 1\/7, -5.\nAnswer: -17, -5, 7\/4472, 1\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14685, -70472, -167359, -305340, -484409?\n\"Answer: j**3 - 20556*j**2 + 5874*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*s + 592387, 5*s = -19 - 6. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-2)*(-4 + 8). Let t = i - -14. Let m = -19 - -63. Calculate the highest common factor of m and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/10842 and ((-2)\/10 - 51822\/5940) + (-8 - -16).\nAnswer: 119262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026745379 rounded to 6 decimal places?\nAnswer: -0.026745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -14. Is a >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 96\/9 - (-682)\/(-186). Let s(k) = -27*k**2 + 10*k + 3. Let v(o) = 9*o**2 - 3*o - 1. Calculate g*v(b) + 2*s(b).\nAnswer: 9*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*a = q + 6, 5*q + 14 = 4*a. Suppose 3*x + 3 = 0, -x + a - 5 = -3*w. Calculate the greatest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 4*d**2 + 68*d + 770. Is o(-12) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18c767 - -a?\nAnswer: -18c75c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6093028 = -2866988. Suppose 560008 = 4*m - 3*m + 4*j, -4*m + s = 2*j. What is m rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*m + 12, 16 = 2*m - a + 3. Suppose 0 = -m*k - k + 90. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*n = -63 + 72, -2*f = 3*n - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -157, -249, -461, -829, -1389, -2177, -3229?\n\"Answer: -6*z**3 - 24*z**2 + 22*z - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*u**4 + 310254*u**3 + 3264252*u**2 + 1789320*u + 252000 = 0.\nAnswer: -2100, -10, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -41*m**2. Let r(g) = 155*g**2 + 55*g - 385. Let z(h) = -17*h**2 - 6*h + 42. Let v(u) = 6*r(u) + 55*z(u). Calculate v(w(y)).\nAnswer: -8405*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (10 - -12) + (1 - -1) - -23?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 67953.\nAnswer: -1\/22651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j**2 + 5*j**2 - 30*j**2 + 19*j**2. Let l(t) = 4*t + 24. Give b(l(x)).\nAnswer: 32*x**2 + 384*x + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36958, 1, 89, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*c = -141*c - 100200. Round c to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1908?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29459314*v + 40506161 - 40506161 + 29459312*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 657 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 14 + 14 = 0. Solve -3*s - p = 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-1 - (1 - 11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**26*p**(-11))\/(p**5*p*p)**(-6\/5) assuming p is positive.\nAnswer: p**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27137*k = 27660*k - 47070 for k.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 243 and 1026.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 467220661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 218*o**2. Let q(r) = -4. Let j(t) = -11*t - 24. Let w(m) = j(m) - 6*q(m). Calculate w(u(k)).\nAnswer: -2398*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21980501047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q + 140. Let r be p(21). Suppose 2*k + 48 = 4*a, 0*k = 2*a + 2*k - 36. What is the highest common factor of a and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -18, -0.6, 251, -3, 0.1, -4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 3 + 4327130\/220. Let v = -19675 + n. Find the common denominator of v and 951\/(-396) - (-1)\/3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11203 - -3?\nAnswer: 11212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gro when three letters picked without replacement from robvdvdg.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 881\/(-16) - (-52 + (-2493)\/(-48)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u - 23. Suppose -2*w = -4*k + 40, 5*k - 6 = w + 11. Is w at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*n - 72 = 0, 3*q + 0*n - 72 = -2*n. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -7. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a factor of 8691877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-30) + (-3)\/15. Let f(r) be the first derivative of s*r**3 + 0*r**2 + 0*r + 3. Let j(u) = 2*u. What is j(f(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (302 + 12*w - 307 + 0*w)*(0*w**2 - 5*w**2 - 2*w**2).\nAnswer: -84*w**3 + 35*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 33*p**2 - 27*p**2 + p.\nAnswer: 6*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 - -5 - (94 + -87))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43105018?\nAnswer: 2, 11, 1959319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - 0.2. Let n = 1.1 + -1. What is the nearest to n in -1, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/(4\/(-18)). Let w(a) = 1 + 0*a - 4*a + x*a. Let o(g) = g - 1. Let v(j) = 3*o(j) + w(j). What is the derivative of v(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 7*s**5\/30 - 3*s**4\/8 + 36*s**2. What is the second derivative of u(z) wrt z?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 19.6. Let h = q - -13. Let l = 4.2 + h. Is 0.1 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 82*n - 28 + 15 + 5.\nAnswer: -82*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(144)\/sqrt(3) + sqrt(48)))**2 + -3 - -2*(sqrt(48) + (sqrt(432) - sqrt(48)) + 4).\nAnswer: 83\/16 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 19*o**2 + 6*o**2 + 42036*o**3 + o - 42037*o**3 to f*o**2 + u + b*o + q*o**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 34.9975. What is c rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -647.3 + 616. Let r = -31 - g. Round r to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 4*p - 13 + 21, -10 = -3*c + 5*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-53 - (4 + -13 + (23 - 12)))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -995145*f**3 + 2*f**2 - 120549*f + 2.\nAnswer: -5970870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21405 + 21423. Solve 4*l - 17 = -x, -b*x + 4*l - 5 = -23*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*g**4 - 322\/5*g**3 + 322\/5*g - 64 + 318\/5*g**2 = 0. What is g?\nAnswer: -1, 1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -218 or -225?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 115752.1+-20.37\nAnswer: 115731.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from xnxxnn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 17*a**2 + 4*a - 9. Let q(j) = -4*j**2 - j + 2. Suppose -l + 5*c = 2*l - 7, 2*l + 2*c = 26. Calculate l*q(h) + 2*v(h).\nAnswer: -2*h**3 - 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnnkhnnh. Give prob of picking 1 k and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**4\/12 + 13*s**3\/6 - s**2. Let j be (-4)\/(((-8)\/12)\/1). Let u be x(j). Solve -n - 2 - u = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 20224?\nAnswer: 182016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -140*n. Let t(o) = -3*o**2 - 135*o - 31. Calculate s(t(q)).\nAnswer: 420*q**2 + 18900*q + 4340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.6785765ns?\nAnswer: 0.0006785765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 17. Let i be 5\/(-2)*(l + -6). Differentiate i*q**2 - 3*q**2 - 2*q**2 - 6*q**3 - 8 with respect to q.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 13*o + 79. Give q(10).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 8. Let j be (-1)\/(-4)*4*-1. Let q = -1596 - -1595.96. Which is the third biggest value? (a) q (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (24\/(-80) - 806\/(-20)) + -1 and 36?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*l + 73*l + 69*l + 50*l + 56*l - 353*l + 57*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -11264.08\nAnswer: 5632.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - 3*(1 + sqrt(684) + sqrt(684))) + 5 + sqrt(684) + -1.\nAnswer: -24*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 14900749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/126 + -407\/315. Let r = 149\/80 + s. Let j = 14369\/144 + -857\/9. Calculate the common denominator of j and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13307 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -57296.\nAnswer: 1\/28648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 153821485 to the nearest 100000.\nAnswer: 153800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 146592.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 459208983?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/5*(10703\/35)\/(-11). Let s = i + 39. Is s != 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*((-252)\/(-91))\/(-6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.39 + -5.4. Let i = -906 + 902. Let m be 1 + 0 + 5\/(-9). What is the closest to -1 in i, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a = 115. Let o = 46 + a. Let l = 9 + o. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-64)\/28 + (-8)\/(-2)*(-1426)\/1302.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -66146.339179?\nAnswer: 66142.339179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 4*a - 20, 488*g - 491*g + 4*a = 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 - 1 + 1 + (3*y - 7*y + 2*y)*(-2 + 2 + 4*y) + (-3*y - 2*y + 4*y)*(4 + y - 4).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1) + (-80 - (-69 - -3)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11854*n**2 + 283*n**3 + 11854*n**2.\nAnswer: 283*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10 = -5*s, 2*s + 2*p - 2 = 2. Let m = -31 - -39. Suppose -w - l = -3, 2*w + s*l - m = -l. Solve 4*f = w*d - 11 - 4, 2 = -2*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2426 (base 9) in base 16?\nAnswer: -70e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -44 + y + 18 + y + 20. Let l(z) = z**2 - 10*z + 13. Let d be l(9). Give k(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 - -1 - (-64 + 50 - (-12 - 5)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3441 or -3702?\nAnswer: -3441","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0. Suppose 3*h = 25*o - 20*o + 25, 0 = -2*h - 3*o - 15. Let t = 7 - 5. Which is the closest to z? (a) h (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2 - 18 = -5*u, 0 = -3*u - 4*r + 12. Suppose 0*b - 28 = u*b. Is 2 + -2 + (0 - b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-81598)\/(-4) - (-4)\/8. Let j be (30\/(-4))\/(3\/h). What is j rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by -182789.\nAnswer: -76\/182789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 491*u - 51918. Calculate k(154).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 2. Let q(r) = r. Determine q(a(u)).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3*x - 3 - 3)*(-3*x - x + 3*x).\nAnswer: 3*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = 65*c - 2*c + 3290 for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6509345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**2 + 5*p - 3. Let w be x(-3). Let j = 49 - w. Suppose -j*f - 117 = -3*s, 6*f - 4*f - 4*s + 56 = 0. Which is smaller: -31 or f?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9392267?\nAnswer: 9392267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 38, 223, 113, -3 in increasing order.\nAnswer: -7, -3, 38, 113, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -17*n**2. Let f(l) = 2334766 - 2334766 + 23*l. Determine f(x(q)).\nAnswer: -391*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or -4\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5 = -2*r - 3, 3*r + q - 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 + 82*k**2 - 79*k - 36. Give w(40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -303977.7 take away 4?\nAnswer: -303981.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/42 + 5\/((-75)\/(-20)). What is the third biggest value in c, 0.04, 0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfm when three letters picked without replacement from jwfffnxjmjmfnmfff?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1, -4, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 5, -629, 63 in ascending order.\nAnswer: -629, 5, 63, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 + 0.02. Let m = -33268 + 33260. What is the closest to h in -3, 0.5, -5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5.000001875. Round c to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 9865 + 3205. List the prime factors of d.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -72b3 + -14?\nAnswer: -72c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1282, 10270, 34654, 82132, 160402?\nAnswer: 277162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*i**4 + 216629*i**3 - 2*i**2 + 37627052.\nAnswer: -32*i**3 + 649887*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -43. Sort v, 15, 4 in descending order.\nAnswer: 15, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -18. Let r = p - -21. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 55\/66 - (-3)\/(-2). Let k = -2.5 - -3. Which is the closest to q? (a) -1\/3 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10777, -10746, -10715, -10684?\n\"Answer: 31*m - 10808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101221002 (base 3) in base 9?\nAnswer: -41832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -241*p + 236*p + 15, 5*q + 4*p = 12. Solve 6*v + 5*c + 11 = 4*v, -2*c - 6 = q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1365 + 0.4.\nAnswer: 0.5365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(780\/(-105))*3\/(3\/4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 533\/5 <= -2.109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and 437.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**3 + 361428*k**2 - 15176007*k + 159334182 = 0.\nAnswer: 21, 120434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.062259.\nAnswer: 0.062259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88663*f - 44219*f - 43894*f = -77550 for f.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -356, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1862, -3, -5, -2, 2 in ascending order.\nAnswer: -5, -3, -2, 2, 1862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (176 + 199 - 477)*(-4*s - 2*s + 3*s)*(2*s - 3*s - s) + (-2*s**2 + 3*s**2 + 2*s**2)*(-2 + 0 + 3) - s**2 + 0*s**2 + 0*s**2.\nAnswer: -610*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*n - 52, 4*n = -d - d + 88. Suppose 2*b - n = 10. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 + 2 + 0 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k = 2*g + 24*k, -19 = -5*g + 3*k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h - 1. Let u be j(1). Let b(l) = l**2 - 4*l + 1. Let t be b(u). Let i be (-4 - -2) + t\/(-1). Solve i = -5*z - y + 1, 2*z - 2 = 4*y - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -32, -68, -124, -206, -320, -472?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 8*v**4 - 8235830*v**3 + 2119647846000*v**2 + 2649572676000*v = 0.\nAnswer: -5\/4, 0, 514740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, l: 2}. What is prob of picking 2 l and 1 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13201 (base 4) to base 14.\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 245?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122\/13 + 402\/65. Which is bigger: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/3)\/3 + 1. Suppose -24*l + 49 = 1. Suppose -l*g = -136 + 126. Solve 4*n - 21 = g*d, 7*n = q*n + 5*d + 20 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168320859.\nAnswer: 59, 36751201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/9 and 19\/3654.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 131 in -8, 4\/3, 1\/8, -0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 48. Which is bigger: -5\/1206 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 308a65 - 3?\nAnswer: 308a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 3*t + 3. Suppose 2*h = -0*h + 4*g, -g - 9 = -5*h. Calculate s(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 715 + 57. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2791*w + 2*w**2 + 5594*w - 5 - 2803*w - 7*w**3. Let y(i) = 8*i**3 - i**2 + 4. What is -3*r(g) - 4*y(g)?\nAnswer: -11*g**3 - 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335829*z + 672*z**2 - 335829*z.\nAnswer: 672*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*v + 10, -5 = 3*v - 4*p - 22. Suppose 3*i - 12 = v, -i = x - 9. Let b = 6 - x. Solve -21 = 4*d - h, 6 = -2*d + b*h - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0.5, -0.192, -5, -10 in decreasing order.\nAnswer: 11, 0.5, -0.192, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6512 is divided by 2158?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8402 + 8411.9964. Let x = -0.8 + -9.2. Let m = j + x. What is m rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 16 + 4 - 29*b + 16 - 46 as p + n*b + d*b**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3004 and 332693.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 182*j\/3 - 320.\nAnswer: 2*(j - 96)*(j + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -316*a**3*t - a**3 + 498*a**2 - 345*a*t + 3*a - 249 wrt t.\nAnswer: -316*a**3 - 345*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 3:51 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-6))\/((2\/40)\/(-1)). Suppose r*u - 13*u = -24. Suppose -z = 3*d + 6, -34*z - 4*d - 8 = -29*z. Sort z, u, -6 in decreasing order.\nAnswer: u, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 33. Suppose -5*o - 2*b - 512 = 259, -3*o = b + 463. Let i = -152 - o. Solve -5*d = -l + i, 2*l - 3 = -k*d - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(-32)*(k\/k**1*k)**(-33))\/((k**(1\/3)\/((k**(2\/13)\/k)\/k))\/(k**0)**43) assuming k is positive.\nAnswer: k**(-2620\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3 - 4343*k**2\/3 - 2649*k - 3610\/3 = 0.\nAnswer: -722, -1, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from liiiilii?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 15*s**2 - 43*s - 6. Let u(z) = -12*z**2 + 43*z + 5. Calculate -4*m(w) - 5*u(w).\nAnswer: 4*w**3 - 43*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -49406*b - 295940. What is t(-6)?\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.5, -3\/2, -5, 61 in ascending order.\nAnswer: -5, -3\/2, 0.5, 2, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*l + 3*j = -69*l + 25, 2*j = -7*l - 244 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -37e0?\nAnswer: 37d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + d**2 - 2*d + 64. What is the least common multiple of 80 and s(0)?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001483 rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92299 = -19*v + 42*v. Let f = -30527 - v. What is f rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w**2 + 34*w + 16. Let m be (364\/(-80) - 12\/(-15))*4. Let d be j(m). Round d to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-12446*m + 12446*m + 2169*m**3).\nAnswer: 4338*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 27 - 35 = 0. Sort 5, a, -5 in increasing order.\nAnswer: -5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -2*n**7\/5 + 5*n**3\/3 - 10*n**2 + 2. Differentiate r(q) wrt q.\nAnswer: -336*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -10, -6.48, 2 in descending order.\nAnswer: 2, -6.48, -10, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8629*g**3*q + 57*g**3 - g**2*q - 4*g*q - 892*g - q - 6 wrt g?\nAnswer: 51774*g*q + 342*g - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than or equal to 405803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 5. Let v be a(7). Let y be v + 1 + 1*2. Suppose -5*t = -g, 2*g - 60 = -3*g - y*t. Solve -g + 30 = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -364 + 374. Solve 0 = 5*j + 10 + s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2. Let r(s) = -15*s**2 + 5*s. Let l(d) = 44*d**2 - 14*d. Let t(o) = 5*l(o) + 14*r(o). Calculate t(n(a)).\nAnswer: 160*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -799647 = 12*c - 82*c - 798387 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 17*d - 131 - 2*d + 180. Let h be r(-3). Solve 3*v = -2*f - 7, 2*v - 2 = -h*f - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 16. Let u be l(6). Suppose 3*c + 2*c = -10. Let t = u - c. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w**5 + 6*w**4 - 3*w - 6. Let y(g) = -17*g**5 - 13*g**4 + 5*g + 13. Let a(j) = 13*i(j) + 6*y(j). What is the second derivative of a(p) wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 25*d**6\/12 - 148*d**3\/3 + 109*d**2 + 3. Differentiate t(x) with respect to x.\nAnswer: 750*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-25) + 954\/10. Let s = 127 - m. Calculate the remainder when 60 is divided by s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 25, 0 = 3*w - 8*w + 2*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21443 + 22331. What is the highest common factor of u and 333?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825952580 is divided by 14244?\nAnswer: 14240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + -8)*(3 + -4). Let j(r) = r**2 - 11*r + 11. Let n be j(k). Let b(f) = -2*f**3 + f + 2. Let z(o) = 10*o**3 - 6*o - 11. What is n*b(y) + 2*z(y)?\nAnswer: -2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 234\/17?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6489 + -1220. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2428 - -2431. Solve -4*v + 7 = -v - 4*i, 3*v - 3 = z*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36690 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*c - 2, -2*u - 5*c = -3*c + 10. What are the prime factors of (-387)\/(-18) - (-2)\/u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22010623.\nAnswer: 29, 758987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnqrqnnrqq. What is prob of picking 3 n?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3431503 to the power of 1\/2, to the nearest integer?\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/(-3))\/(4\/(-144))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4bb12 (base 12) to base 9\nAnswer: 167035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82930 or 248789\/3?\nAnswer: 248789\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/7 (b) -1\/3 (c) 860 (d) 1 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 6. Let p(x) = 3*x**2 + 18. Let b(u) = 14*i(u) + 4*p(u). Let k(l) = 1. Suppose 2*h - 58 = 6*h - 5*w, -h + w = 14. What is h*k(d) - b(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66 and 55159?\nAnswer: 55225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 10:53 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 259, 416, 537, 628, 695, 744?\n\"Answer: x**3 - 24*x**2 + 222*x + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -333, 5, -1, 0.1?\nAnswer: -333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1632 and 10824.\nAnswer: 736032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 851 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12544619 divided by -1.\nAnswer: 12544619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -10 - 10*d**3 - 11*d**2 + 2*d**3 + 2*d**2 + 7*d**3 - 10*d. Let c(i) = 3*i + 1. Let v be c(-3). Let g be a(v). Solve -3*m = -6 - g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -366, -1605, -3662, -6531, -10206?\n\"Answer: g**3 - 415*g**2 - g + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -329 * -0.1.\nAnswer: 32.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Suppose 4*n - 3*y = -7, y + y = -4*n - 22. Sort 0, j, n in decreasing order.\nAnswer: j, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b4880 + -127?\nAnswer: 2b4756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 576.\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1*4\/(-2)). Let o = -104.66 + 26.71. Let b = o - -78. What is the closest to b in -4\/9, s, 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 49\/5 of a millimeter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, w: 17}. Give prob of picking 2 w.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, 429, 2, -20 in decreasing order.\nAnswer: 429, 7, 2, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0)**38*(j**(-1))**(-2\/3))\/((j**(-1)\/j)**(-37))**(4\/23) assuming j is positive.\nAnswer: j**(1780\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*m + 34*m + 280. Suppose 4*j - m + 40 = 0. Suppose 5*q = -4*t + 17, 0 = j*q - 4*t - 0*t + 8. Which is smaller: 1\/122 or q?\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 4 = 5. Solve 10*p + m = 41 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2955.19 + 2955.1. Put 128, -0.5, y, 0.4 in decreasing order.\nAnswer: 128, 0.4, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(110) - sqrt(110)*-1)\/sqrt(10) + -2*sqrt(396)*-5)**2.\nAnswer: 45056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 0 = 5*s. Suppose -6*n = -s*n - 586. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(960\/(-280))\/(30\/(-28))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - 3*(-4 - -3). Let z be 0*5*y\/(-60). Suppose -6 = 12*a - 15*a. Which is greater: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.4 + 4.6. What is the nearest to 2\/5 in 2\/25, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((3\/(-18))\/(2\/(-6)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 92 (b) -0.5 (c) -0.239\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*i + 14 = 40, -6*b - 4*i - 72 + 18 = 78 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 + 2 + y - 2*y**2 - 3*y. Let q be t(1). Solve l = q*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -719*l - 385. What is the ten thousands digit of n(-55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 67*g**2 - 10*g + 12. Suppose 0 = -2*p + 2*h + 16, -3*p = 3*h - h + 1. What are the prime factors of j(p)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*t = -25, -6*j + 4*t = -3*j + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.39367 nanograms to grams.\nAnswer: 0.00000005339367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12120.\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 298*z + 44*z**2 - 596*z + 297*z to a + i*z + l*z**2 and give l.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 12:27 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnnt. What is prob of sequence nn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -106\/51 in -5, 0.3, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.14, -49447, 24?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {v: 3, e: 12}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195196 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -419*k**6\/30 - 35*k**3\/2 - 3*k**2\/2 - 4*k - 218. Find the second derivative of q(w) wrt w.\nAnswer: -5028*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) -216 (c) 23 (d) -2 (e) -129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + (sqrt(468) + -1 + -1 + sqrt(468) - sqrt(468))*1 - 4*(sqrt(468) + sqrt(468)*1*2 + 2)))**2.\nAnswer: 31680*sqrt(13) + 909648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 8:18 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 44\/3 + 16\/3*c**2 - 60*c = 0.\nAnswer: 1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 7297002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-70))\/(144\/27)*10\/2\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = -8. Let f be (-98)\/(-28)*(t - -11). Calculate the highest common factor of 42 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -15, -3.\nAnswer: -15, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(78276\/(-72) + (-2)\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2. Let t(h) = -26*h**2. What is c(t(i))?\nAnswer: 676*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -125.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 + 97. Solve 5 = x*d - 12*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.96 and -133.\nAnswer: 127.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/4 + 2112627*j - 25351497\/4.\nAnswer: -3*(j - 2816833)*(j - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 + 550 = 158*p + 200*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6 + (224\/12)\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(432)*2 + -5*-1*sqrt(432))*2 - ((2 + (sqrt(432) + (sqrt(432) + -1)*-2 - sqrt(432)))*5)**2.\nAnswer: -43600 + 5208*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*r = 42*r - 60. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141450 is divided by 22216.\nAnswer: 8154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1905*n**3 - 3432*n wrt n.\nAnswer: -11430*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 795 and 5505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 3. Let r(o) = -114*o - 34. Let a(h) = -3*p(h) + r(h). What is the derivative of a(f) wrt f?\nAnswer: -111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-148)\/(-24) - 5 - 2\/(-8) and -139\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, u: 2, j: 6, q: 3}. Give prob of picking 2 q.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17697 + -5019. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = 60*w - 544. Suppose 16 = -y - 4*g, -4*g = -y - 0*y + 16. Solve 0 = 2*p - y + w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*t - 4 = 0, -t - 14 + 6 = -i. Find the first derivative of 5*a**3 - a**3 - i*a**3 + 0*a**3 + 1 wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1011 and -5.\nAnswer: -0.5055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**3 + p**2 - 2*p - 3. Determine g(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 56743*d\/4 - 85119\/2.\nAnswer: (d - 56746)*(d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*u = -10684, 6*u + 5300 = 32*g - 30*g. Solve -g + 2701 = 11*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 - 8*q - 19. Let f(h) = 2*h**2 - 4*h - 9. Let l(k) = -6*a(k) + 13*f(k). Is l(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8*16)\/((-5)\/30*-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x**2 + 6*x - 3. Let c be g(4). Let r = c + -228. Let d = -79 - r. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-8))*c\/((c**(-1\/12)*c)\/c))\/(c**2*c**11) assuming c is positive.\nAnswer: c**(-239\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + 1. Suppose -z + 4 = -5*x. Solve x*f = 5*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*f - 3927 = 0, 7*d - 7839 = 3*d - 3*f. Suppose 5*q + 5*b - 2*b = d, -396 = -q + b. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 + -1 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + 2*sqrt(18)) - 3*(sqrt(450) + -1)**2) + 4.\nAnswer: -1348 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*g = 28*g - 39303 - 123444. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176404831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -189*g + 919*g + 53*g + 10 + 21. Is z(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.2763 rounded to 1 dp?\nAnswer: 15.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.54 - 3.24. Let k = -12 + r. Let b = 0.19396 + -0.09396. What is the smallest value in -5, b, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let d(q) = -5*q**3 + q. Let v be d(-1). Suppose 0 = -u - 4*g + 4, -u + v*g = -4*u + 4. Let r(h) = u*h**2 - h**2 + 5*h**2. Give s(r(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11926 (base 10) to base 6.\nAnswer: 131114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 10200?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3814*h**2 + 3*h - 3810*h**2 + 11249*h**2 - 3623*h**2 - 3*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.13 (b) -3\/2 (c) 2\/7 (d) 58 (e) 1\/10 (f) -0.5 (g) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6*u = -5*q - 1607047, -4*u - 5*q = -3214079. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1379036710.832+4.68\nAnswer: 1379036715.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 948 and 3555?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4756944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k + 312 = -25*k. Solve 0 = -9*j + 53 - k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-7))\/((-1)\/7). Let t(o) = -o + 13. What is the smallest common multiple of 2 and t(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 2*t**2 - 17*t - 1716. What is h(0)?\nAnswer: -1716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6490409 millilitres to litres.\nAnswer: 0.0006490409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 3) + 10044\/(-648)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 5*y**2 + 7*y - 6. Suppose 2*j - 6*j = -48. Suppose 0 = -3*p - 3*d - j, 4*p - 2*d + 30 + 4 = 0. What is the units digit of r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63 - 3) + -42 - 51.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043291 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + -21. Suppose 4*v + 2 = -22. Let f = v - a. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15299 - -15257. Let t = -196 - -153.945. Let q = t - b. What is q rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, r: 3, e: 1, x: 1, p: 2, i: 3}. What is prob of sequence we?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 99 + -23365157618\nAnswer: -23365157519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*k = -340, 5*g - 4*g - 2*k = 82. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 73, 0.\nAnswer: 0, 33, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 16560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175570 is divided by 1267?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -5\/537 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 826 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/2 - 3*k**3\/2 - 27*k**2\/2 + 27*k\/2.\nAnswer: 3*k*(k - 3)*(k - 1)*(k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-10*3\/(-8))\/(57\/152)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25725765 is divided by 2435.\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w + 4. Let l(m) = 3*m - 3. Give 5*l(y) + 4*u(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80527009639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-4)*u**(-2\/9)*u*u*u**(3\/4)*u**6\/u)\/(u**(2\/5)*u**3*u\/(u*u\/u**(-7\/2)*u*u*u)*u**(-2\/15)) assuming u is positive.\nAnswer: u**(3197\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - h + 7. Calculate n(-6).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*c - 55 = 5*o, 2*o = 2*c - 28. Suppose -2*l - 9 = -5. Let v = l - o. Solve -v + 0 = -4*d - f, f = 4*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192) + sqrt(192) + (sqrt(192) - (sqrt(192) + sqrt(192) + -1)))**2*-6)*4.\nAnswer: -4632 - 352*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311339233.\nAnswer: 47, 73, 103, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 8. Suppose 5*f - 5 = -m*n, -2*n + f = -4*f - 23. Let k be -5*(-1)\/n*4. Put k, -5, -1 in increasing order.\nAnswer: -5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l**2 + 19*l - 3. Let u(c) = -c**2 - 1. Give o(s) - 3*u(s).\nAnswer: -7*s**2 + 19*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1710)\/(-60) + -33)\/(1\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 15*n - 28. What is the smallest common multiple of 25 and s(17)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 196.85 to the nearest integer.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 276, 777, 1518, 2505, 3744, 5241?\nAnswer: 7002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41682 - 14327. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -548717 + -1146093.5?\nAnswer: -1694810.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 5*u**2 - 4*u**2 + 2*u**2 - u**2 + u**2 + (u + u - u)*(2*u - 4*u + 3*u) - 2*u**2 + 2*u - 2*u)*(1704*u - 48799 + 48799).\nAnswer: -1704*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:57 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -321 + 7*q + 124989*q**3 - 6*q - 125003*q**3 to the form n*q + h + u*q**3 + a*q**2 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/11)*o)\/o*o*o**(1\/7))\/(o*o*o**13*o*o\/(o\/(o*o**(13\/4)))) assuming o is positive.\nAnswer: o**(-5941\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169 and 5408?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 1\/2*g**2 + 0*g**5 + 0*g**4 + 1\/6*g**6 + 0 + 5*g + 0*g**3. What is the derivative of k(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29694 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 + 2*j)*(-j + 3*j - j) + 2*j**2 + 2 - 2)*(2*j + 3*j - 2 + j) to the form k*j**2 + m + q*j**3 + g*j and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 0. Suppose -v*m - 3 = 3*a + 17, -m = -5*a + 5. Suppose s + 4*g - 7 = 3*g, 3*s - 5*g - 5 = a. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*y**5\/7 - 1222*y**4\/7 - 2686*y**3\/7 - 1868*y**2\/7 - 416*y\/7 = 0. Calculate y.\nAnswer: -1, -2\/3, -1\/2, 0, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -3?\nAnswer: -124\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23\/55 - 3\/5. Let j = -40 + 39. Sort -0.3, j, c.\nAnswer: j, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 12*k**2 - 8*k.\nAnswer: -4*k*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 67\/(-65))\/(223964\/1180). Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from kkppp?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.469698t to grams.\nAnswer: 7469698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 50.2. Let g = l - 7. Let n = 0 + 4. Put g, n, 0 in descending order.\nAnswer: n, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2566490 and 2170.\nAnswer: 17965430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/14 + 185800\/35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83488 - -83538. Suppose 0 = -n + 5*v + 11, -n + 2*n - 17 = 3*v. Calculate the remainder when i is divided by -1*n\/(2*-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -790, -3124, -7014, -12460, -19462, -28020?\nAnswer: -38134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/1320921 and 11\/147987.\nAnswer: 35664867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24756759?\nAnswer: 3, 305639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 18*c - 78. Suppose 5*w = -28 + 98. What is the hundreds digit of x(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 126981736 and -11?\nAnswer: 126981747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 f when four letters picked without replacement from {f: 3, i: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28267190 divided by -14133595\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11609925 to 3 decimal places.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-25 + 12 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -2*f + 94. Calculate the greatest common divisor of f and 605.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5191 + -4379. What is the remainder when d is divided by 267?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(192)\/(sqrt(18)\/sqrt(3)*3).\nAnswer: -4 + 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -74092, -148184, -222276, -296368, -370460, -444552?\n\"Answer: -74092*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/11))\/(n*n\/(((((n\/(n*n**(-1\/4)*n))\/n)\/n*n)\/n)\/n)))**(-50) assuming n is positive.\nAnswer: n**(5425\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + 4*k**2)*(288 - 130 - 274)*(-4*k - 3*k + 4*k).\nAnswer: 1392*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/36)\/(25\/(-20))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 259*t**2 + 12*t - 36. Let c(d) = -80030*d**2 - 3710*d + 11130. Determine 6*c(u) + 1855*q(u).\nAnswer: 265*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18284577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - -1 - 7498\/28. Let j = h - -1837\/7. Let f = -188067\/260 - -9456\/13. Calculate the common denominator of f and j.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135072.4 rounded to the nearest 1000?\nAnswer: -135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.1. Let o = -5321 - -5323. Let l = -2\/67 - -160\/871. Sort l, o, m in increasing order.\nAnswer: m, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 3*z**2 - 6*z + 1. Let a(b) = 117*b**2 - 225435*b - 116*b**2 + b**3 + 225434*b. Determine 6*a(d) - o(d).\nAnswer: 4*d**3 + 3*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.33 - -1.345. Round w to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209 - -206. Suppose -4*m - 70 = m. Let r(b) = b**2 + 13*b - 18. Let v be r(m). Do v and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**7\/1260 + n**6\/360 - n**5\/60 + n**4\/12 - 2*n**3\/3 + 26*n**2. Let g(j) be the second derivative of q(j). What is g(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4601.3 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 527544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169231, 676926, 1523085, 2707708?\nAnswer: 4230795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2409879.5 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujw when three letters picked without replacement from {r: 1, w: 1, q: 1, u: 1, h: 2, j: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219934 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: In base 3, what is 1022 + -122112101022010?\nAnswer: -122112101020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/2 of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*z**2 + 23 - 23)*(-5 + 3 + 3 + (1 + 0 - 4)*(-1 + 3 - 1) + (11 - 4 + 8)*(-1 + 1 - 1)).\nAnswer: 391*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 11\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 11 + -136 + 109 + (0 - -4).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 11 = -17. What is the smallest common multiple of 4*10*10\/25 and r?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-24))**(2\/171) assuming v is positive.\nAnswer: v**(-46\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**25*p)\/((p**3*p)\/p*p))**47 assuming p is positive.\nAnswer: p**(-1269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 - 3*v - 20000*v**2 - 20007*v**2 + 60029*v**2 - 20022*v**2.\nAnswer: -6*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/9, -1, -0.06, 9\/2, 2\/13, 0?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 411, 410, 407, 402, 395?\n\"Answer: -a**2 + 2*a + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695 is divided by 38?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78446?\nAnswer: 2, 61, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 1. Let c(q) = 8*q**2 - 8. Let i(b) = -c(b) + 2*p(b). Differentiate i(w) wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 10:26 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = -2*t + 4*t - 19*o, 12*o + 9*o - 138 = -12*t + 17*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*v**6 + 18068*v**4 + 59678*v**2 wrt v.\nAnswer: -480*v**3 + 433632*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c = 62*c - b, c + 12 = -4*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * -14.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 + -3.6. Let m = s - -4.2. What is the third smallest value in -0.2, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrrp when four letters picked without replacement from jpryr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-16 + 13)) + -15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8589508045 to the nearest 1000000.\nAnswer: 8590000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40797*q**5 + 2*q**2 + 1590*q wrt q?\nAnswer: -2447820*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143\/713 or 5\/21?\nAnswer: -143\/713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((3 - 9) + (-7 - -7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11052444544 to 3 decimal places.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3681 and 39673?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1757 - 856. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 535235 divided by 2.\nAnswer: 535235\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*g**(1\/6)*g)*g)\/g*g*(g\/(g\/((g**(-1\/34)\/g)\/g*g*g*g)))\/g)**(-27))**(-46) assuming g is positive.\nAnswer: g**(-25254\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 less than -2412171?\nAnswer: -2412042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (4423775\/(-2) + 0)*((-3311)\/215 - -15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 9*o + 5. Let t(n) = n**2 - 5*n - 3. Let h(c) = -c**2 + 6*c - 5. Let w be h(4). Determine w*q(l) + 5*t(l).\nAnswer: 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1 + 2*k + k - 2*k - 3. Let z be 2\/(-3) + (-10)\/(-6). Let d be s(z). Which is bigger: 0.01 or d?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, j: 4, r: 4}. Give prob of sequence rw.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a + 2*a + 5*k + 22, 6*k - 2*k - 961 = 45*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/4*43\/(258\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -70561, -282248, -635063, -1129006?\n\"Answer: -70564*k**2 + 5*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 224 or -107?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, a: 1, m: 1}. Give prob of sequence amwa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19163 divided by -2?\nAnswer: -19163\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4236.272 micrometers?\nAnswer: 4.236272","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 50 + (-19 - 33)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 5 - (-13 - (-11 + -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-672)\/(-26) - 15\/((-975)\/10). Let h be 1*8\/3*3. Suppose 2*c = -4*f + h*f - 20, -c = 4*f - a. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19940842 at least as big as 19940843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*5*16\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000336507 to 5 dps.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*o**3 - 212*o**3 + 56067*o**2 + 246*o - 56055*o**2 + 12 wrt o?\nAnswer: -1452*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 127955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1120 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 6*j = -j + 35, -j + 5 = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 0 + 6*m + m**3 + 5*m**2 + 3 + 3 + 0*m**3. Calculate k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 3*v = -14049. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 30. Put -4, 5, o in ascending order.\nAnswer: -4, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3293 divide 392682300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000696872244 rounded to 5 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 6:17 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15542, 75426, 179650, 328214, 521118, 758362?\n\"Answer: 22170*h**2 - 6626*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -24*m - 59. Let g be z(13). Let u = -239 - g. Let j(o) = -6*o - 9. What is the remainder when u is divided by j(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8387 - 8247. Suppose 2*q = -q - 645. Let j = z + q. Is j less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*u = -800, -o + 404 = 8*u - 3*u. Suppose 4*m = m + 5*x + 1141, m = -3*x + o. List the prime factors of m.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -279*i**3 + 378063*i**2 - 378063*i**2 - 1206 wrt i.\nAnswer: -837*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4172000 to the nearest 100000.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -292 (b) -3 (c) 1\/2 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - k + 0*k - 4*k + k + 4*k + (1 - 1 - 2)*(-3*k - k + 3*k) - 2*k + 3*k + k + 3 - 2*k - 3.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 6*v**2 + 4*v - 4. Let x be p(-4). Let d be (-8)\/x*3\/(-2). Is (-53652)\/(-108) + 4*d\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 5. What is the remainder when 6 is divided by 8\/12 + t\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -7*b**3\/6 + b**2\/2 + 3*b. What are the prime factors of g(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5025234327 to the power of 1\/3, to the nearest integer?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - -1. Let q = p - 12. Calculate the highest common divisor of q and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 1282*i. Let d(h) = -34*h. Determine d(b(k)).\nAnswer: 34*k**2 - 43588*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by -8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 384*u + 169*u + 68*u - 10065 - 31542 for u.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 386188278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -29*n**2 - 20*n + 6. Let k(i) = 28*i**2 + 16*i - 6. Let g(r) = 5*k(r) + 4*l(r). What is the first derivative of g(p) wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261893.\nAnswer: 101, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1\/4)*f)\/f)\/f)**(4\/27)*(f*(f\/(f*f**(-3)))\/f)**8 assuming f is positive.\nAnswer: f**(649\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -2)*27\/2. Suppose 3*k + x = 264, -2*k + 2*x - 4*x = -180. Let p = k + q. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 241.39 + -242.39. Which is greater: o or -0.2501?\nAnswer: -0.2501","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -474597 divided by -4\nAnswer: 474597\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3339932803 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3531785*y**6 - 77*y**3 + 1885*y**2 - 139071 wrt y.\nAnswer: -423814200*y**3 - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5*sqrt(117)*2 - 3*(0 + sqrt(117))**2)*-4 + 4).\nAnswer: 480*sqrt(13) + 5632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 8 = -2*g + 25 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s**3 + 19*s**3 + s**3 + 27.\nAnswer: -5*s**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4102839591 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2981 - 3014. Let v = 35 + -64. Let m = v - q. Sort 3, 1\/7, m in ascending order.\nAnswer: 1\/7, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38720\/208 + 2\/(-13) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7238829 divided by -39.\nAnswer: 185611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 91?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(((j\/j**7)\/j)\/j)*j**(2\/25))**(4\/3) assuming j is positive.\nAnswer: j**(908\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -3)*7\/1. Suppose -q*j - 9861 = -761. What is j rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -12. Suppose q*f - 57 = 93. Calculate the greatest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 52626*i**2 + 346528800*i + 4495985000.\nAnswer: 2*(i + 13)*(i + 13150)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by (-6)\/(-5) + (-1)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Let p(y) = -24*y + 229. Let z be p(9). Suppose -5*o + 20 = 0, -4*m + z*o + 40 = 11*o. Solve m + 3 = d*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -7*k**4\/36 - k**3\/9 + 4*k - 3. Let c(f) be the first derivative of w(f). Factor c(o).\nAnswer: -o*(7*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, 43, 68, 113, 184, 287, 428, 613?\n\"Answer: b**3 + b**2 + b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 10*z + 8. Let d(g) = g - 1. Let x(m) = 2*d(m) - y(m). Let c be x(-6). Let n = -8 + 8.3. What is the fourth biggest value in c, n, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5 = -5*v, -9*v + 8*v = 5*w + 26 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 6*c + 4*c + (6 - 4 - 4)*(-4*c + 0*c + 2*c) + c - 2*c + 0*c - 4*c + 2*c + 0*c)*(-4 + 4 - 2).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*i - 3*a + 12, 2*i - 8 = 2*a. Suppose -4*x = x - 15. Suppose t = x*t - 6. Solve i*k - 4*n = -2, t*k - 4*n = n + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) - 22\/(-5). Solve -2*p = -4*h - g - 0, 2*p = h + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3\/2, 4, 0.05?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from vvvqvvvvqvvvv?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 41. Let h be f + (2\/1 - 4). Suppose -3*c + d = -383, 5*c + 114 - 749 = h*d. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i + 103 - i - 5*i - 98.\nAnswer: -31*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 17 = -28. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 251862678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 40*x**2 - 44*x + 222. What is c(39)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = b - 0*j + 4*j, 5*b + j - 176 = 0. Suppose -20*a + 19*a + 5 = 0. Suppose 2*f + 0*f = -2*g + b, -3*g = a*f - 82. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2 + 8 - 3*s + 2*s. Let a be z(6). Suppose 6 = 2*c - a*c. What is the remainder when 4 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 11 = 71. Let m = -6 + d. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9158.33653 to the nearest ten.\nAnswer: 9160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/9762 and -13\/458814?\nAnswer: 458814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**6\/200 - 21*p**5\/100 - 3*p**4 - 10*p**3 + 40*p**2 - 2. Solve q(j) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7477216.\nAnswer: 2, 233663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 15 = f, 0 = 5*z + 3*f - 7*f - 27. Suppose -2*t - 5*v - 6741 = -z*t, 3*v - 3 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-118)\/(-236)*(0\/(-2))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30690)\/(-45) + (0 - 2)*-2. Suppose n = 7*d - 3*d - 2*k, 5*d + k - 847 = 0. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -3, -0.3, -3\/2, 32, 11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/12575 and -71\/915.\nAnswer: 2301225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 324?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153.04 + 173.1. Let p = -20 + t. Let a = p + 0.09. Round a to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 26*o + 71. Let s be p(10). Solve u - 16 + s = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*3\/(12\/(-2)). Let m be 21\/14 - q\/4. Suppose 3*l - m*y = 31, 4*y = 3*l - 19 - 10. Solve 0 = -5*x + 4 + l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00992 rounded to four decimal places?\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 759 + -608. Suppose -j*w = -155*w + 788. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400*f + n + 4 = 1401*f, -5*n = -9*f + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**9\/3024 + g**6\/180 + g**3\/3 - g. Let n(u) be the second derivative of t(u). Find the third derivative of n(p) wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -361 + 360.99833. Round o to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/8)\/q)\/(q\/(q\/q**4)))**(-2\/9)*((q**(-2\/7)\/q)\/(q**(-4)*q))**(-2\/87) assuming q is positive.\nAnswer: q**(2543\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1498 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.1 and -4729251949.\nAnswer: -4729251946.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.03 times 16515?\nAnswer: -99585.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2)\/(-12)*54\/18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(2160)*1 + sqrt(2160))\/(-5*sqrt(33)\/(sqrt(539) + sqrt(11))).\nAnswer: 384*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374 = u - 373, -7 = -2*c + u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**3\/5 - 2716*t**2\/5 - 532398*t\/5 - 27631044\/5 = 0.\nAnswer: -1134, -131, -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = -4. Suppose u*t = 2*t. Are 0 and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*t + 7, -3*s + t = 3*t - 49. What is the second derivative of 7*o - 22*o**4 + 6*o**4 + s*o**4 wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + 219.\nAnswer: 218.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 12:59 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356346 is divided by 2408?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 168.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5187211 - -4\nAnswer: -5187207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ltllllltlllatllttt.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 - 0.59. Let u = -0.4 + -4.6. Let l = -5.2 - u. Put l, 2\/11, j in descending order.\nAnswer: 2\/11, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 181 - 11?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -62*w**3 + w**2 - 23*w - 24. Let t be b(-1). What is the highest common factor of 1984 and t?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202322013122 - -101?\nAnswer: 1202322013223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 374*m - 371*m. Is 25 + 948 + m + 3 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = 6*n + 4*v - 568, -20 = 4*v. What is the remainder when 529 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 10*q - 11. Let l(x) = -x + 27. Let n be l(15). Suppose 2*u = -c + 5*c, u = -c + n. Let z be p(u). Solve -1 = z*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 38694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/((-108)\/(-33) - 0) - 8?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 328 and 246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00295913425 rounded to seven dps?\nAnswer: -0.0029591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(77) - (sqrt(77) + (sqrt(77) - (sqrt(77) + 4*sqrt(77)*1)) + sqrt(77)))*-6)\/((sqrt(77)*-2*2)\/(2*-2*sqrt(11))).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 10:07 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -103*w - 65. What is t(-2)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2. Let c be (21\/(-14))\/(6\/(-40)). Let v(n) = -2*n**3 + 10*n**2 - 8*n. Let q(p) = c*f(p) + v(p). What is the second derivative of q(a) wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176 (base 9) to base 3.\nAnswer: -12120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = 14. Let d(g) = -g - 4. Let z be d(i). What is the greatest common factor of z and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 18 = -n, 3*p + 2*p = 4*n - 70. Suppose 5*c - n = -5. Solve 6 = -2*x, -35 = c*r + 4*x - 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**1*d*d\/d**(16\/5) assuming d is positive.\nAnswer: d**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 128478793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-114)\/(-4)*(-1 - 1). List the prime factors of ((-8)\/(-12))\/((-2)\/z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.768095 nanograms in kilograms?\nAnswer: 0.000000000004768095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011 - 101001001?\nAnswer: -11010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - l**2 + 3)*(-3*l + 3*l + 2*l**2 + (1 - 1 + l)*(-l + 0*l - 4*l)) in the form s*l**2 + p*l + m*l**4 + v*l**3 + n and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -1\/96*d**4 + 1\/840*d**7 + 0 + d**2 + 0*d + 1\/12*d**3 + 1\/480*d**6 - 1\/80*d**5. Let r(i) = 0. Calculate i.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.2 - 47109233\nAnswer: -47109211.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in -0.5, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*-2*5 + (sqrt(320) - ((sqrt(320) + 3*sqrt(320) + 4 - sqrt(320)) + sqrt(320))))**2.\nAnswer: 832*sqrt(5) + 54096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (59 - 26) + -49 - 27.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4 - 5*p**3 + 200*p**2 + 560*p.\nAnswer: -5*p*(p - 7)*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (288\/(-84))\/(1\/(-7) - 0). Suppose -12*o = -12 - x. Suppose 5*h + 3*p = 12398, -o*h - 5*p - 3338 = -10780. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 179, 253, 369, 533, 751, 1029, 1373?\nAnswer: 1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 271191 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5362 and 243971.\nAnswer: 2681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 264337615.755177 + -3\nAnswer: 264337612.755177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 28146.\nAnswer: -2\/14073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 - 190. Let u = -250 + b. What is the units digit of (3 - 1)\/((-10)\/u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -4. Suppose -2*c - 10 = 0, 2*d - 36 = -w*c + 45. What are the prime factors of d?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x = 36*x + 5*q - 229, -176 = -5*x - 4*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iipq when four letters picked without replacement from pqpiipi?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 y when three letters picked without replacement from {v: 1, p: 12, y: 6}?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -6. Suppose -4*l = -2*y - t, -5*y = 4 - 19. Suppose -2*z = l*p - 40, 5*p + 0*z + z = 47. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 = -8. Let j be (-1 - k)\/(2\/10). Suppose 0 = -2*g + 5 + j. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9883, 19761, 29637, 39511?\nAnswer: 49383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20504 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 851942726 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13536 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14186099 divided by 6.\nAnswer: -14186099\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 661304 and 592137.\nAnswer: 232117704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3852*k**4 - 2*k**3 - 6*k**2 - 340354.\nAnswer: -15408*k**3 - 6*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27426850 (base 9) in base 5?\nAnswer: 11431243120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 - 6 = 0. Let v be ((-12)\/p - 3)*-1. Suppose -n - 3*y + 151 = v, 4*y - 572 = -2*n - 2*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -29. Sort d, -2, -4, 11.\nAnswer: -4, -2, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2. Let x(f) = 79*f**2 + 5. Let d(p) = -158*p**2 - 12. Let s(m) = -4*d(m) - 10*x(m). Give v(s(z)).\nAnswer: -49928*z**4 - 1264*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(3\/24) + 0. Let n = 4 - t. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1004*d**2 + 67*d - 2. Let y(u) = -1006*u**2 + 65*u - 3. Let l(m) = 3*i(m) - 2*y(m). What is the second derivative of l(a) wrt a?\nAnswer: -2000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(((-40)\/(-150))\/(2\/5)). Suppose -2*h - k = 0, 5*m + 3*h = 42 + 79. Calculate the greatest common factor of m and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2316 + -2101. Let t = 521.694 + -736.505. Let s = t + d. What is s rounded to 2 dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 times 167695.5\nAnswer: 12409467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 5*(sqrt(2448) + -3) + sqrt(2448))**2.\nAnswer: -2520*sqrt(17) + 120177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (2*((sqrt(500) + 0)*6 + 2 - (-3 + 1*sqrt(500) + -1 + sqrt(500) + 0)))**2).\nAnswer: 11520*sqrt(5) + 192882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 743, 2949, 6603, 11699, 18231, 26193, 35579?\n\"Answer: -g**3 + 730*g**2 + 23*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 21*q - 58. Let i be v(-9). Let j be 5*(-5)\/i*(0 + -14). What is the highest common factor of j and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**3\/6 - 13*p. Let j(s) = 9*s**2. What is y(j(f))?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 18 = -2*s, 4*t + 4*s + 30 = -22. Let z = t + 7. Do -1\/14 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - c + c + (1 + c - 1)*(2 + 4 - 1))*(-23 + 5 - 2*c + 5) as y + n*c**2 + h*c and give h.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494 = 616*d + 633*d - 1268*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from dhccbqj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -523642?\nAnswer: -523647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 8*r**2 + 7*r + 11. Is n(-9) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.39? (a) -1.2 (b) 4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 251 + 63?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.45 - 6.65. Let v = -8.1111 - y. What is v rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-6))\/(((g*((g*g**7)\/g)\/g)\/g)\/g))**48 assuming g is positive.\nAnswer: g**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 = -2*k + 13*k. Let n(x) = -27 + 95 - 34 - 5*x - k. What is n(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, -191, -679, -1363?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 74\/(-10) + -2 + (-2)\/(-5). Let b(g) = -g - 14. Let f be b(j). Calculate the remainder when f + (-85)\/(-15) + 110\/6 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 124\/28 - (-9 + (-1056)\/(-112)). Let v(x) be the first derivative of -3\/2*x**r + 0*x**2 + 30 + 8*x + 0*x**3. Differentiate v(y) wrt y.\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 5*j**3\/3 - 2610*j**2 + 1362420*j - 1694. Factor f(n).\nAnswer: 5*(n - 522)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -3\/31223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*(0 + sqrt(17) - sqrt(17))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.526, -0.4, 0.4?\nAnswer: -1.526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2906 = 197*j - 49 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/(46\/(-10))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46870 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 40 = 40. Calculate the lowest common multiple of 12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4091 = -78*b + 79*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85971 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-1)\/2*-6. Suppose 3*k + w = 11. Differentiate 13*p**2 - 17*p**k + 8*p**2 - 9 with respect to p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + c - 6. Let t(m) = -m**3 + 18*m**2 - 145*m + 2184. Let n be t(17). Does n = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -309, 22, -3098.\nAnswer: -3098, -309, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7799 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 374019.728 rounded to the nearest 10?\nAnswer: 374020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hiwj when four letters picked without replacement from {j: 4, i: 1, w: 1, h: 1, l: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/3516696 and 40\/729?\nAnswer: 3516696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(-6*(sqrt(11)*-3 - sqrt(11))).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 3*n = -21, -5*n + 17 = -t - 2*t. Is 20604\/2 + (t - (-3)\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-33)*o)\/o**(-36) assuming o is positive.\nAnswer: o**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/100 and -49\/8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -26. Let n be d\/(-4) + 6\/(-4). Put 1, 0, n in descending order.\nAnswer: 1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 146107174.\nAnswer: 146107169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - q**2 + 0*q**2 - 5*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r + r**4 + 0 + 0*r**2 + 5\/3*r**5 - 2\/3*r**3.\nAnswer: r**3*(r + 1)*(5*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -265001, 2\/53, -0.1?\nAnswer: -265001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*l**3*q + 4004724*j**2*l**3 - 18*j**2*l*q - j**2*l - j**2*q - 50*l*q + 13 wrt l?\nAnswer: 12*j**2*l*q + 24028344*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-150))\/(564\/30)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53754638 + 770572736129\/14335. Let o = w + -2\/305. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 3263436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - s**2 + 2*s**2)*(0 + 0 + s) + (-3 + 4 + 0)*(-5*s**3 + 2*s**3 + s**3).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqpqqqqqpqqqq. Give prob of picking 1 p and 1 q.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from dakkdkdzlkl?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3270992, -3270994, -3270996?\nAnswer: -3270998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 4*n - 2. Let a be ((-4)\/(-2))\/((-6)\/(-9)). Let o be i(a). Let g be 12\/16*o\/(-3). Solve -g*t - 3*t = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (102\/(-96135)*29)\/((-2)\/(-30))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4120 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 9 = -3*t. Let j(z) = -4*z + 2. Let b(k) = -9*k - 5. Let p(g) = 17*g + 9. Let l(v) = -11*b(v) - 6*p(v). Let m(r) = -4*j(r) + 5*l(r). What is m(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6*w**3 - 8*w**3 - 1.\nAnswer: -14*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -86*u**4 + 72*u**2 - 2*u + 2. Let y(v) = -87*v**4 + 71*v**2 - 3*v + 4. Let q(f) = -3*a(f) + 2*y(f). What is the third derivative of q(k) wrt k?\nAnswer: 2016*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 12:46 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 1, j: 1, k: 1, x: 1}. Give prob of sequence wwxw.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + u**2 + 1. Suppose -2*j = 2*s + 6, 5*j + 1 = 2*s - 0. Let n(c) = -12*c**3 - 11*c**2 - 11. Give s*n(o) - 22*l(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1386)\/196 - (-1)\/14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q\/(q\/(q\/q**(-2))*q)))))\/q**(1\/7))**(-47)\/((q\/(q*q**(1\/5))*q**6\/q)\/(q\/(q\/((q\/(q\/(q*q**(-1\/3))))\/q*q)))**(3\/11)) assuming q is positive.\nAnswer: q**(18902\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**3\/6 - 4*d**2 + 7*d. What is g(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -229*m**4 - 126*m wrt m.\nAnswer: -2748*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 102*f**3 + 1056*f**2 + 3456*f.\nAnswer: 3*f*(f + 8)**2*(f + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2366950 + 2366950 + 149*f - 3*f**3 as r + g*f**3 + t*f**2 + c*f and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:34 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3623, -3620, -3617?\nAnswer: -3614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**4\/4 - 11*g**3\/3 + 9*g**2\/2 + 7*g + 1. Suppose 19 = v + 9. Calculate m(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/(-16)*(-176)\/(-154). Suppose -5*b = t - 365, b = 5*t + n*b - 1753. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -40. Let u = q + 15. What is the third biggest value in u, 1\/6, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/(-36))\/(-1))\/((12\/(-9))\/((-2603)\/(-274)))?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1222 divided by 807.\nAnswer: 1222\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 779 divide 5043394256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22629b - 4?\nAnswer: 226297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z - 136 = -40*z. Solve -5*s - z + 14 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61630417?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(24)*1 - sqrt(24)) + sqrt(24) + sqrt(3456)*1 + sqrt(24))\/(-1*sqrt(192) + (sqrt(144)\/sqrt(3))\/sqrt(4)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110 is divided by 226?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**4 + 3*t**2 - 9 - 8*t**2 - 6*t + 6*t**2 + 3*t in the form u*t**4 + h*t**3 + z*t + l + c*t**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*j*s**2 + 2*j - 72*s**2 wrt j.\nAnswer: 55*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5457348?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*u - 30*u + 13*u + 0*u + 2*u + 0*u + (0*u + 0*u - 3*u)*(-1 + 4 - 1) + u + 0*u - 2*u + u + 0 + 0 to the form l + p*u and give p.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**(3\/5)*q)\/q)\/(q**(1\/7)*q))\/((q*q**(1\/5)\/q)\/q**(-2\/5)) assuming q is positive.\nAnswer: q**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1148 (base 11) to base 13.\nAnswer: 8b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*k - 130*k = 124*k - 204 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0*j + 0*j - j**2. Let s be ((-15)\/((-150)\/340))\/(1 - -1). Let l(n) = -494 + 494 - s*n. What is l(q(b))?\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*w + 5, 5*w - 64 = 4*g. Let a be (2\/(-6))\/(g\/(-297)). Let v = a - -11. Solve v*o = 7*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1059 and 220.\nAnswer: 232980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1025625 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34\/7? (a) 0.16 (b) -2\/809 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**2\/3 - 235*w - 5320\/3 = 0 for w.\nAnswer: -133, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7458*c**2*p - 3*c**2 - 4*c*p + 830*p wrt c?\nAnswer: 14916*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10375238966 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3176712 divided by 10314?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5378 - 5379. Is -5\/156 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 4. Let d(k) = 5*k - 15. Let i(z) = 9*c(z) + 2*d(z). Let w = -86 - -79. Determine i(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -500173, -1000346, -1500519, -2000692, -2500865?\n\"Answer: -500173*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 886 rounded to the nearest 10?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 1, -22 in decreasing order.\nAnswer: 1, -5, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4)*-1)\/(531\/21240)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -3, 2\/13, -24?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -12 and 9.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**4\/12 + 49*m - 6. Let g(c) be the first derivative of d(c). Let n(p) = -p - 4. Calculate g(n(z)).\nAnswer: z**2 + 8*z + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 443 + 689. Let f(v) = -32*v - 401. What are the prime factors of f(a)?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50649340831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.212? (a) -5 (b) 4 (c) -3949\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + 0 + -2)\/((-10)\/(-5)). Does 23 divide (39 + -1)*(84\/8 + h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-117)\/(-27) - (-2)\/3. Suppose 0 = -4*m - f*u + 24798, 2*m - 6224 = -3*u + 6176. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -2, -1, 38 in decreasing order.\nAnswer: 38, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92421 - 46205 - 11939*a**2 - 46216.\nAnswer: -11939*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(2299) - (sqrt(2299)*2 + -1 + sqrt(2299)))*-5*2 + 5))**2.\nAnswer: -79200*sqrt(19) + 33106500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 331*r**2 + 202*r**2 - 87*r**2 - 43 - 334*r**2.\nAnswer: -550*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(304\/860 + (-748)\/(-16082))\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68*((-14)\/(-12))\/(-7))\/((-71)\/((-16614)\/52))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 6*g - 2. Let i(x) = -x - 3. Let b be i(3). Let o = b + 13. List the prime factors of m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-42)*(4\/10)\/((-404)\/19190).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:29 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 5*i - 3*t + 28, -2*t - 106 = -4*i. Are -3 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/84 and -73\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/7 - 26100*n**4\/7 - 85151244*n**3\/7 + 78296*n**2\/7 + 255401550*n\/7 - 170302500\/7 = 0. Calculate n.\nAnswer: -6525, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 - 1965. Let h = x + 2860. Let v = h - 193. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.336 or -10253?\nAnswer: -10253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12712785?\nAnswer: 3, 5, 847519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1204 and 1\/168.\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + b = 2*h + 6, -3*b = -h + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*a - 2185 = 4144 - 249 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5580 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*o + 131*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6 - 9. Is (-51)\/(-9) + t\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 190 = 4*j + 4*c, -3*c = -15. What is the least common multiple of 20 and j?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**3 - t**2 + 2*t + 2. Let p be n(-1). Let j be -1 - ((p + -6)\/(-1) + -4). Put -38, 4, j, -5 in descending order.\nAnswer: 4, j, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000536098597 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from mpccpqcqqjccp?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**4\/6 - p**3\/3 + 5*p**2\/2 - 23*p. Let s(o) be the first derivative of h(o). Determine s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, h: 3}. What is prob of sequence kkh?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 51 (b) 0.018 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/5 (b) 0 (c) 215097 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6267, -12571, -18881, -25197?\nAnswer: -31519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-9))\/(20\/6)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 242.7, -3247 in descending order.\nAnswer: 242.7, -2, -5, -3247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(1*sqrt(108)))\/(sqrt(84)\/(1*sqrt(7)) + sqrt(192))*1.\nAnswer: sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1591 divided by 369656\nAnswer: -1591\/369656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**5*r + 4*f**3*r + 25*f**3 + 2*f*r + 414 wrt f?\nAnswer: -20*f**3*r + 24*f*r + 150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 956617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65045, -65075, -65143, -65267, -65465?\nAnswer: -65755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 6*n - 79. Solve c - n = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 5*y + 5 - 13, 0 = 4*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:42 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 3*f - 2. Suppose 0*q - 2 = 2*q + 4*z, 4*q = -5*z - 7. Let d be g(q). List the prime factors of 273\/6 - 1\/d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19891 - -19891.0000015997. Round b to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h - 5*k + 17 = 0, -4*k = -h + 28. Let d be (0 - -1)*-1 - (-24)\/h. What is u in 0 + 0*u - 1\/2*u**2 + 0*u**3 + d*u**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -22. Let j be 12*(20\/p + -2). Suppose d = j*d + 35000. Round d to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 4790652.\nAnswer: 47906520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 18860.\nAnswer: 150880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/7 - 88*c\/7 - 24 = 0?\nAnswer: -42, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j + 11. Suppose -4*i - 27 = -35. Let z(r) = -2*r - 5. Let c(p) = i*m(p) + 5*z(p). Let s(w) = -w**2 - 7*w - 10. Let u be s(-6). What is c(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*p**3 + 133*p**2 - 3272*p**3 + 421*p**3.\nAnswer: -3083*p**3 + 133*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**2 - r + 4. Let n(o) = -3*o**2 - 23 + 12 - 11*o**2 + 3*o. What is 3*n(l) + 8*u(l)?\nAnswer: -2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 24 + -66 - (1 - -16).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/3 (b) -0.2 (c) -2 (d) -3899 (e) -0.09 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-9)*(v\/(v**(-4)\/v))\/v)\/(v*v**2)**(-31) assuming v is positive.\nAnswer: v**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 k when four letters picked without replacement from {o: 4, k: 15}?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63.7 - 73.7. Which is the nearest to 1? (a) 2\/9 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-624))\/(2\/4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3315.226221 and 22.2.\nAnswer: -3293.026221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1033840 and 90?\nAnswer: 9304560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5191a (base 11) to base 3.\nAnswer: 10211202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.531 + 0.131. Which is the nearest to -2? (a) 2\/5 (b) s (c) 7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.844542 years to centuries.\nAnswer: 0.07844542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2 + 53070*k - 159228 = 0 for k.\nAnswer: -26538, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14696920*l**5 + 1563144*l**2 + 2 wrt l.\nAnswer: 881815200*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 30*j**2 - 28*j - 13. Let g(v) = -41*v**2 + 38*v + 18. Let i(u) = -8*g(u) - 11*x(u). Give i(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -255? (a) -1\/451 (b) 2\/3 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*m + 1. Suppose 5*l + 18 = -m. Let y(a) = 2*a + 19. Let x be y(l). Solve -x*o + 2*o - 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 4*u + 2. Let k be h(-3). Let x = 5604 + -5604.4. Which is the biggest value? (a) k (b) 0.02 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356446818?\nAnswer: 2, 3, 7, 13, 24179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*0.03292.\nAnswer: 0.004938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-29)*(-10)\/(-20)*(-10)\/(240\/(-6)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6347 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 5. Let r be u(8). Let g = -11 + r. Solve g = -2*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 5:36 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -340029\nAnswer: 1\/340029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120*g**3 + g + 6*g**2 + 121*g**3 + 4*g**2 to the form v*g**3 + t + p*g + b*g**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 58 = -5*y. Let b(x) = -x**2 + 6*x + 6. Let t be b(6). Suppose 2*f + t = 4*f. What is the remainder when y is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(18)\/(sqrt(36)\/sqrt(4)).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 - 7*l**2 + 10*l + 20. Let o be d(-7). List the prime factors of -6*(o\/(-18) + -2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374095831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 440*u**2. Let s(o) = -2172*o**2 + 723*o**2 + 727*o**2 + 727*o**2. Give s(q(d)).\nAnswer: 968000*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3275\/2 + 1639. Which is the second smallest value? (a) t (b) -2 (c) -0.0311 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 - 326. Let i = -84 - a. Suppose -i = -5*b - 1. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6126, 12673, 19652, 27069, 34930, 43241?\n\"Answer: j**3 + 210*j**2 + 5910*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 44, 810 in ascending order.\nAnswer: 3, 44, 810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f + 54*f - 4*f - 3*f.\nAnswer: 71*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (-7 + (-16 - -46))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1003 - 1001 - 996 + 2*n - 994 + 3980. Let w(v) = -3*v + 21. Determine 8*q(j) + 5*w(j).\nAnswer: j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 82 = -2*w - 2*w, 3*q + 105 = -5*w. Let d = 27 + w. Suppose -5*k = z - 29, -3*k + 4*z + d = 2*k. Solve 0*l + 5*l = -k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 22 - ((-2 - -2) + -3)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1461, 2930, 4401, 5874, 7349?\n\"Answer: g**2 + 1466*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 1141 = -2*b - 1261, -9*w + 4*b = -w + 156 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 745\/5192 - 12\/649. Let k(t) be the first derivative of 0*t + 14 + f*t**2 - 5\/16*t**4 + 3\/20*t**5 + 1\/12*t**3. Find a such that k(a) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03829 less than -311?\nAnswer: -310.96171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 7:34 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osoe when four letters picked without replacement from {e: 2, v: 3, o: 3, s: 12}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 2:59 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*q + 8*q + 3249 = -271*q - 2076 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 40712.244 rounded to the nearest 10?\nAnswer: 40710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**3 + 4*x**2 + 2*x - 1. Let q(w) = -w**3 + w**2 + w - 1. Give m(i) - 2*q(i).\nAnswer: -4*i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 10*n**2 + 9*n - 10. Let o be (14\/56)\/((-1)\/(-24)). Suppose -o*m = 69 - 15. Determine g(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 15, -3*u = -5*b - 17 - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 2. Suppose 2*w + c - q = 3*w, -2*w = -3*c + 8. Calculate the smallest common multiple of -3 - (w - 0) - -12 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2448)*-3*4 + 0)**2.\nAnswer: 352511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 18 + 16)*(4*i - 5*i + 4*i)*(4*i - 5*i - 19*i).\nAnswer: -1200*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29905252?\nAnswer: 2, 13, 191, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -100020 (base 3) to base 16\nAnswer: -f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 8. Let y(g) = 3*g - 1 + x*g**2 - 4*g**2 + 5 - 1. Let i(r) = 3*r**2 - 2*r - 2. What is -3*i(t) - 2*y(t)?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42420281\/360 - -117834. Calculate the common denominator of 37\/81 and v.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183068 is divided by 47.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 75*k - 787. What is a(0)?\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = a - 2*q, -3*q + 0*q + 156 = 2*a. Suppose 32 = -k + 5*k. Calculate the highest common divisor of a and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9158, 15156, 20976, 26528, 31722, 36468?\nAnswer: 40676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + 1.75. Let y = q + 0.18. Let j = y - 4. Sort 5, 0.1, j in descending order.\nAnswer: 5, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1334 + 3672 + 4130 = 42*t for t.\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -221 - -277. Solve 8 - t = 8*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 7 = -l - 3, 5*h - 15 = 2*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 3 (c) 7268 (d) -5 (e) -37\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -4, -49, -130, -259, -448, -709?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-35) + 5\/(50\/938). Let r be w\/11 + (-94)\/47. Solve -108\/11*v**2 - 16\/11 + r*v + 54\/11*v**3 = 0.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a - 7*a**5 + 4*a**5 - 3*a**5 + 9*a wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 10*g - 119.\nAnswer: (g - 7)*(g + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 616348*s + 8012354. Determine k(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 145, 549, 1207, 2107, 3237, 4585, 6139?\n\"Answer: -2*a**3 + 139*a**2 + a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5836 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1270 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/63*(103 + -82).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -495 and 26.\nAnswer: -12870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -218 (base 16) to base 3.\nAnswer: -201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + 23. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**0)*n*n**(2\/5))\/(n**7*n*n*n*n*n*(n\/(n*n*((n*n**8*n)\/n)\/n*n))\/n*n) assuming n is positive.\nAnswer: n**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 539203465.99999946 - 539203474. Let i = -8 - q. What is i rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 845*l - 207*l + 8020*l to g*l + z and give g.\nAnswer: 8658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -5, -2278881, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6884 and 0.4?\nAnswer: 0.67536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266727 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0675 + 8.7.\nAnswer: 8.7675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = -u + 13*o + 3701, 7454 = 2*u - 5*o. List the prime factors of u.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u + 73. Let p(i) = 13*i - 147. What is -11*k(h) - 6*p(h)?\nAnswer: -h + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 1. Let h(p) = -8*p**2 + 4*p - 8. Calculate -h(t) - 6*l(t).\nAnswer: 8*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 + 17*k - 17*k + 1 + 2*k**2 to y*k**3 + a*k + z*k**2 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3080)\/21*2052\/(-180). What is the greatest common divisor of j and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 11, -2\/11, 3\/47, -0.1 in decreasing order.\nAnswer: 11, 3\/47, -0.1, -2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44471496 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 847 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*t - 6*t + 70 = 1462. Solve k - 90 = t*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -22*f - 245. Calculate u(-6).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -836 = 16*l + 6*l. Let r be 4\/l + 0 + (-21)\/(-19). Solve -f = g + 5, -6*g + 5*g - r = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 2*b + 115375. Suppose v + b = -z, -4*z + 20 = -0*z. Let u = -415289\/18 - v. What is the common denominator of u and -47\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 746521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 249674 + -175107. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 11002?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -72?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2042.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4193\/3 - (-5)\/15. Suppose 21*w = 27*w - u. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**3 + 11*p**2 - 11*p. Let s be r(1). Suppose -s*u = 4*q - 2*u - 22222, 0 = q + 2*u - 5551. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 - 0 - (1 + -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Suppose -2*o + 6*o - 8 = g. Calculate the remainder when (o\/6)\/((-3)\/(-171)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 18854.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50531a7 - 4?\nAnswer: 50531a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 18666000 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1179\/80276 + -1\/188. Let n = d + -32488\/3843. Find the common denominator of n and (64\/(-33))\/4*-3.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2647*h = -2664*h - 34. Sort 5, -3, -5, h, 38 in ascending order.\nAnswer: -5, -3, h, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38940453?\nAnswer: 3, 673, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -55 + -7 + -231 + 236\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1798877 and 447.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + z)*(419*z**2 - 58*z**2 - 143*z**2) + (-z**3 + 2*z - 2*z)*(3 + 0 - 2) to s*z**3 + o*z**2 + d + f*z and give s.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*j = 11, 0*y = -2*y + 5*j - 1. Let l(i) = -i - 1. Let a(w) be the first derivative of w**2 - w + 5134. Give y*a(r) + 3*l(r).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 2*s + 3*s + 0*s. Let p(v) = -v**3 - 2*v**2 + 2*v - 1. Let z be p(-3). Let f(r) = 2*r**z + 0*r**2 - 3*r**2 + 4*r**2. What is f(j(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21\/7*(-16)\/(-6) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.55844169 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 388*h*v - 4*h + 2*v - 4254 wrt h.\nAnswer: 388*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 9. Let q = -7 - -17. Let g be z(q). Solve -2*r + 2*b = -2, g = -2*b + b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 396112028*l - 19613092340784098.\nAnswer: -2*(l + 99028007)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -498 + 379. Let s = k - -209. What is the greatest common divisor of s and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -18*n**4 - 744*n**3 + 22426*n**2 + 910800*n + 7019936 = 0.\nAnswer: -49, -44\/3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(3\/7)*s*s))**(6\/11) assuming s is positive.\nAnswer: s**(-60\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 463888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81926 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*c*g**2*l**3 - 2*c*g**2*s + c*l**3 + g**2*l**2 + 46*l**3*s with respect to s.\nAnswer: -2*c*g**2 + 46*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 16*k. Let l(v) = -131851*v. Give r(l(t)).\nAnswer: -2109616*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 602 or 603?\nAnswer: 603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.1 - -16.0622. Round n to three dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o - 7. Let h(f) = 5*f + 4. Let p be (-10)\/50 + (-71)\/(-5). Let y be ((-7)\/p)\/((-1)\/10). Calculate y*h(x) + 3*r(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*n - 5 - 613 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 169255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4534.\nAnswer: 2, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 440 and 4928?\nAnswer: 24640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/9)\/(2*6\/(-180))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {k: 2, p: 7, s: 6}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*w - 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38943827 to the power of 1\/3, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from {a: 3, u: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*u - 67*u = 63*u + 44 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438398420.\nAnswer: 2, 5, 67, 327163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316717, -633961, -951205, -1268449, -1585693?\nAnswer: -1902937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134744522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21917960?\nAnswer: 2, 5, 43, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14665536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 80*w - 85.\nAnswer: 5*(w - 1)*(w + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1143488, 1143445, 1143402, 1143359, 1143316, 1143273?\n\"Answer: -43*f + 1143531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 75 + 3*c + 18 - 17. Let x be r(-26). Let j be -3*(36\/(-60) + x\/5). Solve j*o = o, 0 = 2*b + 5*o + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdeegcq. What is prob of picking 1 c, 1 g, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 992*m**4 - 89?\nAnswer: 3968*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((2 - -1) + -4)*0. Let z be (3\/(-3) - i)*-85. Suppose -2*a + 68 = -4*p + 7*p, 0 = -4*p + 3*a + z. 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: Let o = 7595\/11 + -691. Let n = -0.155 + -0.145. Which is the biggest value? (a) n (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 402 = -1126. Let j = g + -126. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19243 + 22566. What is the highest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 2*r + 293. Let n be j(0). Let q(x) = -n*x - 294*x + 588*x. Let p(c) = 6*c**2. Determine q(p(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m + 6 = 0. Let l = 0.13 - 0.06. Let y = l + 0.13. Which is the smallest value? (a) 1 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z - 4. Suppose -o + 21 = z*a, -5*o + 36 = -o + 4*a. Suppose -3*p + 221 = 4*n, o*p - 4*p - 271 = -5*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 60.4950174 from 0.2541.\nAnswer: -60.2409174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-1235)\/(-120) - 16\/24.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 15 = 2*p + 3*p, 5*j = -5*p - 5. Put j, 0.1, -0.5, 3 in descending order.\nAnswer: 3, 0.1, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -106, -105, -106?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o + 40 = 0. What is the greatest common divisor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7198829 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9929855530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/((-20)\/25) + 318\/24\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352 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: Rearrange 3*s**2 - s**3 - 4*s**2 + 0*s**3 + (-2 + 2 + s**3)*(0 + 0 + 1) + 2 - 2*s**3 - 2 + 22*s**3 - 20*s**3 + 14*s**3 to c + f*s**3 + q*s**2 + u*s and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 197*g**2.\nAnswer: 197*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 = -3. Let t(j) be the first derivative of 0 + v*j + j - 2. Let k(z) = -z + 9. Calculate -2*k(m) + 5*t(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1416*n**3 + 71565*n + 139578156 with respect to n.\nAnswer: -4248*n**2 + 71565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7147*t + 14312. Determine z(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(95) + sqrt(95))*3 - ((sqrt(95) - (-2*-2*sqrt(95) + sqrt(95))) + sqrt(95)))\/((4*sqrt(15))\/sqrt(3)*-4).\nAnswer: -3*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(1 + sqrt(891)).\nAnswer: -36*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 62, 39, -40, -193, -438?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177177207*d*u**6 - d*u**2 + 5*d*u + 38*d - 2*u**2 - 345*u wrt u?\nAnswer: 21261264840*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - r + 2 = 0, k - 20 = 4*k + 4*r. Is k - -2*21\/2 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 6:28 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 10 - (0 + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 4. Let g be m(-10). Let s = -9 + g. Let v be s\/30*14*3. What is the greatest common divisor of v and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7*x + 45. Let n be (-39)\/x - 1\/6*2. Calculate the greatest common factor of 12 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81.4 + 121.3. Let b = 38 - u. Let a = b - -1.54. What is a rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by -2582.\nAnswer: 37\/2582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3065*-0.2239.\nAnswer: -686.2535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1057 (base 9) to base 5.\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -1.38 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -292038*k**4*x + 71*k**4 + k**3*x**2 - k**2 - 88073911*k*x**2 - 3*k wrt k?\nAnswer: -7008912*k*x + 1704*k + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-6))\/(w**23*w))**2 assuming w is positive.\nAnswer: w**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8640 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: Total of 11.97 and -24761.\nAnswer: -24749.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*f**3 - 3*f + 69 wrt f?\nAnswer: 57*f**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -143, -11, 2, 200, 1, 5 in decreasing order.\nAnswer: 200, 5, 2, 1, -11, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 169 = 4*k - 134, 28 = -k + 3*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, -28484, 1.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 108, 212, 294, 342, 344?\n\"Answer: -2*x**3 + x**2 + 115*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8\/9)\/f)\/f*f*f*f\/((f\/f**(-3\/5))\/f))\/(f*f\/f**(2\/9)*f*f*f)**11 assuming f is positive.\nAnswer: f**(-2387\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11563479 to the nearest integer?\nAnswer: 3401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 1, f: 1, t: 1, u: 1, b: 1}. What is prob of picking 1 t and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 363860561*o**4 + 392192567*o**2 wrt o.\nAnswer: 8732653464*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by (0 + 2 + -3)*(8 + -27).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5984 and -0.1295027063?\nAnswer: 5983.8704972937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364 (base 11) to base 13.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29242 - -2481347383.\nAnswer: 2481318141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i. Let s(y) be the second derivative of y**3\/6 - 6*y. Give s(n(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (428 + 14 + 1)*(3 - 3 + 2)*(-3 + 3 + 4)*(4*n - n - 4*n).\nAnswer: -3544*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17.054 and -171.\nAnswer: -153.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.9 - -4.9. Let n = -28.91 - v. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4306 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 831 + 2478. Let q = -178 - l. What is the greatest common divisor of q and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 192, 219, 256, 303, 360, 427?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 w when four letters picked without replacement from {v: 4, w: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13 + 2646\/36)\/(0 - 1\/(-2)). Is o equal to 165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 - 175 = 5*g + 2*n, -4*g - 2 = 2*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1481, -12074, -40825, -96812, -189113, -326806, -518969, -774680?\n\"Answer: -1513*k**3 - k**2 + k + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -652 or -5205\/8?\nAnswer: -652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-509)\/(-5) + (-15)\/(-75). Let a be (5\/1)\/((-6)\/l). Let v be (a\/(-51))\/(1\/(-3)). What is the third smallest value in v, 2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11881?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-4 + (1 - (3 - 4)). Let g be (5\/(-15) - c\/(-3))*0. Suppose 2*a - 7*a + 56 = -2*k, 5*a - 64 = -2*k. Sort g, 3, a in ascending order.\nAnswer: g, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - 3*r - 3*r + ((-3 + 6 + 1)*(-7*r + 8 - 8) + 4 - 4 - 4*r)*(2 - 1 - 2).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.233 and 0.1?\nAnswer: 4.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.839 + 1.829. Which is the second smallest value? (a) k (b) 1\/10 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 459424081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 11:11 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 357229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 103?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/40*((-18)\/4)\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l - 198*l = -13*l - 6541 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 3, 13, -45.\nAnswer: -105, -45, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 and (-32)\/112 + (0 - 389\/35).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*y - 462 = -3*y + 418 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*a - 564, 2*f = 5*f + 6. Let u = a + 157. Calculate the highest common factor of u and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*k - 22*k - 4*k)*(-12 + 20 - 2*k - 9) in the form x*k + q + w*k**2 and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 67316 = -13695. What is the remainder when b is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 s, and 2 k when four letters picked without replacement from jjjjjjjkjsksskkjjj?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (40 + -4)\/6 - (-289087)\/23.\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1632618?\nAnswer: 2, 3, 13, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -730166*p**4 + 2455846*p?\nAnswer: -8761992*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/(-4) - 1\/(-4). Let g(t) = t**2 - 8*t + 1. Let s = -16 + 23. Let i be g(s). Which is bigger: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + 2 + -11 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 52. What is the remainder when c is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1433628 and 4734?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 12, -1898*w + b - 73772 = -1902*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*q - 2201 = -359*q + 11443 + 14359 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1107 = -2*t. Let a = 4063\/11 + t. Factor -a*p + 0 + 2\/11*p**2.\nAnswer: 2*p*(p - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6395621926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 389412396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 0) + (58 - 33 - -32 - 14).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22080 and 2538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 164982 and 165.\nAnswer: 9074010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 10*h + 11. Give f(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13239, 26477, 39715, 52953, 66191?\nAnswer: 79429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2 - 4.481. Let f = h - 0.119. Which is the nearest to 0.1? (a) -23 (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20279 minus 1963023?\nAnswer: -1983302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 0. Suppose 0 = -2*u + 2*i + 26 + 14, -5*u + i = -100. Suppose 2*t = 3*t - 2*z + 7, -5*t - 5*z = u. Is t less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4. Suppose 0 = 4*b - h*b - 16. What is the units digit of ((-2)\/3)\/(b\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 2016\/479?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**3 + 8*l**5 + 4*l**3 + (-16*l + 17*l + 4*l)*(-2*l**4 - l**4 + 2*l**4).\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-75)\/(-50))\/(-6*2\/(-13408)). Suppose 4*l - 3278 = -3*i, -1598 = -4*l - i + q. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*t + 37193, -4*t + 3*t = -3*z - 22309. Let o = z - -119071\/16. Let p = -506099\/24 - -21084. What is the common denominator of p and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2291557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 23 = i + 5*x, 3*x + 13 = i. What is the hundreds digit of i + 595 - (0 - -4 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5740*o**3 - 2880*o**3 - 2875*o**3.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4246 - -3627.6. Let i = -1.6 + r. Let b = i + 617.09. Round b to one dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 4*j**3 - 15*j**2\/2 + 15*j + 7. Let g(c) = 3*c**2 - 4*c + 4. Give 15*g(n) - 4*y(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-2) - (0 + 0). Suppose 0 = -11*t + 4*t + 56. Suppose -5*y - u = t. Which is bigger: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 452 - 440. Let s = 114 + -79. Calculate the remainder when s is divided by -1*(-168)\/15 + j\/15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 180, 269, 358?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3*v**2 - 44*v + 115*v - 69*v - 3*v**2 + 158*v**3.\nAnswer: 158*v**3 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*t - 138, 205 = -5*p + 5*t - t. Let v = p + 66. Is v a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.27, -0.3, -5 in ascending order.\nAnswer: -5, -0.3, 0.27, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*j, 5*x = 2*j + 3*j + 100. Calculate the smallest common multiple of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*t + 84*t = 0. Let l = 0.1 - 0.3. Let n = 4.2 + l. Which is the closest to -0.3? (a) t (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-6)*(-24)\/16*1. Let r(c) = 19*c**z + 10*c - 13*c**2 + 22*c**2 + 21. What is the remainder when r(-3) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + 0.1. Let y = -10 - -9.7. Is y >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-0.4063.\nAnswer: 2.4378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -498.\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.26487815 to three decimal places.\nAnswer: -10.265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/3 (b) -0.03 (c) 2\/13 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(650) - ((sqrt(52)*1)\/sqrt(2) - sqrt(26))))\/(-6*-1*sqrt(128)*-4).\nAnswer: -25*sqrt(13)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31476 - 31574 - (-1 - 199)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -151463, -151456, -151449, -151442, -151435, -151428?\n\"Answer: 7*d - 151470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2942413*d**3*h + 62*d**2 + 2*d*h + 50354 wrt d.\nAnswer: -17654478*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - 6. Let p = -55\/2 - b. Let y be 2\/10 - 5\/(-4 + -221). What is the third biggest value in p, y, 4\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -35.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349*m - 370*m = -5527977. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-2\/7)*z*z)*z**37 assuming z is positive.\nAnswer: z**(254\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -1) + 1 + (1 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 14, 75\/451, -4?\nAnswer: 75\/451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*f - f = -266 + 26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*m + v, 0 = 3*m + 2*v - 6*v - 5. Suppose -19 = -4*g + m*l + 1, -4*g - 3*l = -20. Solve -12 + 37 = -g*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 957844\/55665315 + -2\/68301. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*6\/(-4)*2. Solve 0 = 3*h - 4*j - 20, 14 = 4*h - 2*h - r*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**12)**(-1\/49) assuming o is positive.\nAnswer: o**(-12\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}